Details

analyze85.0ms (5.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
30.8%	25%	56.2%	0.1%	18.7%	0%	0%	6
48%	37.5%	40.6%	0.1%	21.9%	0%	0%	7
60%	46.8%	31.2%	0.1%	21.9%	0%	0%	8
71.4%	54.6%	21.9%	0.1%	23.4%	0%	0%	9
78.6%	60.1%	16.4%	0.1%	23.4%	0%	0%	10
85.1%	64.4%	11.3%	0.1%	24.2%	0%	0%	11
88.9%	67.3%	8.4%	0.1%	24.2%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample790.0ms (54.7%)

Results

772.0ms	8256×	body	256	valid
8.0ms	103×	body	256	infinite

Bogosity

preprocess15.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

16×	`fma-def`
12×	`+-commutative`
4×	`*-commutative`
4×	`associate-+l+`
4×	`count-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	21	30
2	28	30
3	32	30
4	34	30
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (+.f64 (*.f64 y y) x) x)

Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (fma.f64 x x y))
(+.f64 (+.f64 (*.f64 y y) x) x)
(+.f64 x (fma.f64 y y x))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify11.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def`
6×	`+-commutative`
2×	`*-commutative`
2×	`associate-+l+`
2×	`count-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
2	17	15
3	19	15
4	20	15

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)

Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (+.f64 y y))

eval13.0ms (0.9%)

Compiler: Compiled 21 to 9 computations (57.1% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 x x (+.f64 y y))
▶	0.0b	(+.f64 (+.f64 (*.f64 x x) y) y)

Compiler

Compiled 17 to 9 computations (47.1% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (*.f64 x x) y) y)

Compiler

Compiled 19 to 5 computations (73.7% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (+.f64 (*.f64 x x) y) y)
0.0ms	y	@	0	(+.f64 (+.f64 (*.f64 x x) y) y)
0.0ms	x	@	inf	(+.f64 (+.f64 (*.f64 x x) y) y)
0.0ms	y	@	inf	(+.f64 (+.f64 (*.f64 x x) y) y)
0.0ms	y	@	-inf	(+.f64 (+.f64 (*.f64 x x) y) y)

rewrite84.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1934×	`add-sqr-sqrt`
1914×	`*-un-lft-identity`
1796×	`add-cube-cbrt`
1780×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	162	15
2	2376	15

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (.f64 x x) y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (-.f64 (+.f64 (.f64 x x) y) y)) (/.f64 (.f64 y y) (-.f64 (+.f64 (.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 (.f64 x x) y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (+.f64 (.f64 x x) y) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (+.f64 (.f64 x x) y) y)) (sqrt.f64 (+.f64 (+.f64 (.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (+.f64 (.f64 x x) y) y)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 x x) y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 x x) y) y)) 2) (cbrt.f64 (+.f64 (+.f64 (.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y y)) (/.f64 1 (-.f64 (+.f64 (.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 x x) y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y (-.f64 y (+.f64 (.f64 x x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (.f64 x x) y) y) (-.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y (-.f64 y (+.f64 (.f64 x x) y)))) (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 x x) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y y)) (-.f64 (+.f64 (.f64 x x) y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 x x) y) 3)) (+.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y (-.f64 y (+.f64 (.f64 x x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 x x) y) 3)) (+.f64 (.f64 y y) (-.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y (+.f64 (.f64 x x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (.f64 (+.f64 y y) (+.f64 y y))) (-.f64 (.f64 x x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 y y) (pow.f64 (+.f64 (.f64 x x) y) 2)) (-.f64 y (+.f64 (.f64 x x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 y y) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (+.f64 y y) (+.f64 y y)) (.f64 (.f64 x x) (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y y))) (neg.f64 (-.f64 (+.f64 (.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 x x) y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y (-.f64 y (+.f64 (.f64 x x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 (.f64 x x) y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 x x) y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 x x) y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 (.f64 x x) y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 (.f64 x x) y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 (.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (.f64 x x) y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 (.f64 x x) y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 (.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 (.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (+.f64 (.f64 x x) y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 (.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x x) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (+.f64 (.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (.f64 x x) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 (.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x x) y)) 2) (cbrt.f64 (+.f64 (.f64 x x) y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y) (+.f64 (.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (+.f64 y y))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (*.f64 x x) y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (*.f64 x x) y) 2) (-.f64 (+.f64 (*.f64 x x) y) y)) (/.f64 (*.f64 y y) (-.f64 (+.f64 (*.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (*.f64 x x) y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (*.f64 x x) y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) y) y)) (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) y) y)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) y) y)) 2) (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x x) y) 2) (*.f64 y y)) (/.f64 1 (-.f64 (+.f64 (*.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (*.f64 x x) y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 x x) y) 2) (*.f64 y (-.f64 y (+.f64 (*.f64 x x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (*.f64 x x) y) y) (-.f64 (pow.f64 (+.f64 (*.f64 x x) y) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x x) y) 2) (*.f64 y (-.f64 y (+.f64 (*.f64 x x) y)))) (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (*.f64 x x) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x x) y) 2) (*.f64 y y)) (-.f64 (+.f64 (*.f64 x x) y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (*.f64 x x) y) 3)) (+.f64 (pow.f64 (+.f64 (*.f64 x x) y) 2) (*.f64 y (-.f64 y (+.f64 (*.f64 x x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (*.f64 x x) y) 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (+.f64 (*.f64 x x) y) 2) (*.f64 y (+.f64 (*.f64 x x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 (+.f64 y y) (+.f64 y y))) (-.f64 (*.f64 x x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 (*.f64 x x) y) 2)) (-.f64 y (+.f64 (*.f64 x x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 y y) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (+.f64 y y) (+.f64 y y)) (*.f64 (*.f64 x x) (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x x) y) 2) (*.f64 y y))) (neg.f64 (-.f64 (+.f64 (*.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (*.f64 x x) y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x x) y) 2) (*.f64 y (-.f64 y (+.f64 (*.f64 x x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 (*.f64 x x) y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x x) y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x x) y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 (*.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (*.f64 x x) y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x x) y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 (*.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 (*.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (*.f64 x x) y) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 (*.f64 x x) y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (+.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (*.f64 x x) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) y)) 2) (cbrt.f64 (+.f64 (*.f64 x x) y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (+.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (+.f64 y y))))))

simplify81.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1394×	`associate--r+`
1222×	`associate-+r-`
1088×	`associate-+l-`
940×	`associate--l+`
668×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1572
1	302	1452
2	1198	1416
3	4925	1416

Stop Event

1×	node limit

Counts

64 → 61

Calls

Call 1

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

Outputs
(*.f64 2 y)
(+.f64 y y)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(*.f64 2 y)
(+.f64 y y)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(*.f64 2 y)
(+.f64 y y)
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(+.f64 (*.f64 2 y) (pow.f64 x 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (*.f64 x x) y) y))) 1)
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(-.f64 (/.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (-.f64 (+.f64 (.f64 x x) y) y)) (/.f64 (.f64 y y) (-.f64 (+.f64 (.f64 x x) y) y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (fma.f64 x x 0))
(/.f64 (+.f64 y (fma.f64 x x y)) (/.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 2 y (.f64 x x)) (/.f64 (.f64 x x) (*.f64 x x)))
(.f64 (+.f64 (+.f64 (.f64 x x) y) y) 1)
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(.f64 1 (+.f64 (+.f64 (.f64 x x) y) y))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 x x) y) y)) (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) y) y)))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 x x) y) y)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) y) y)) 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 x x) y) y)) 2) (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) y) y)))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y y)) (/.f64 1 (-.f64 (+.f64 (.f64 x x) y) y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (fma.f64 x x 0))
(/.f64 (+.f64 y (fma.f64 x x y)) (/.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 2 y (.f64 x x)) (/.f64 (.f64 x x) (*.f64 x x)))
(.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 x x) y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y (-.f64 y (+.f64 (*.f64 x x) y))))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) 1) (+.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y (-.f64 y (fma.f64 x x y)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 y (*.f64 x (neg.f64 x)) (pow.f64 (fma.f64 x x y) 2)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 (fma.f64 x x y) (.f64 x x) (.f64 y y)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (.f64 x x) y) y) (-.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (fma.f64 x x 0))
(/.f64 (+.f64 y (fma.f64 x x y)) (/.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 2 y (.f64 x x)) (/.f64 (.f64 x x) (*.f64 x x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y (-.f64 y (+.f64 (.f64 x x) y)))) (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 x x) y) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) 1) (+.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y (-.f64 y (fma.f64 x x y)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 y (*.f64 x (neg.f64 x)) (pow.f64 (fma.f64 x x y) 2)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 (fma.f64 x x y) (.f64 x x) (.f64 y y)))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y y)) (-.f64 (+.f64 (*.f64 x x) y) y))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (fma.f64 x x 0))
(/.f64 (+.f64 y (fma.f64 x x y)) (/.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 2 y (.f64 x x)) (/.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 x x) y) 3)) (+.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y (-.f64 y (+.f64 (.f64 x x) y)))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) 1) (+.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y (-.f64 y (fma.f64 x x y)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 y (*.f64 x (neg.f64 x)) (pow.f64 (fma.f64 x x y) 2)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 (fma.f64 x x y) (.f64 x x) (.f64 y y)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 x x) y) 3)) (+.f64 (.f64 y y) (-.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y (+.f64 (*.f64 x x) y)))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) 1) (+.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y (-.f64 y (fma.f64 x x y)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 y (*.f64 x (neg.f64 x)) (pow.f64 (fma.f64 x x y) 2)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 (fma.f64 x x y) (.f64 x x) (.f64 y y)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (+.f64 y y) (+.f64 y y))) (-.f64 (.f64 x x) (+.f64 y y)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (.f64 y y) 4)) (fma.f64 x x (*.f64 y -2)))
(/.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 y y) -4)) (fma.f64 y -2 (*.f64 x x)))
(/.f64 (-.f64 (.f64 y y) (pow.f64 (+.f64 (.f64 x x) y) 2)) (-.f64 y (+.f64 (*.f64 x x) y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (fma.f64 x x 0))
(/.f64 (+.f64 y (fma.f64 x x y)) (/.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 2 y (.f64 x x)) (/.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 y y) 3)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (+.f64 y y) (+.f64 y y)) (.f64 (*.f64 x x) (+.f64 y y)))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 y y) 3)) (+.f64 (pow.f64 x 4) (.f64 (+.f64 y y) (-.f64 (+.f64 y y) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 y 3) 8)) (fma.f64 (+.f64 y y) (+.f64 y (-.f64 y (.f64 x x))) (pow.f64 x 4)))
(/.f64 (fma.f64 (pow.f64 y 3) 8 (pow.f64 x 6)) (fma.f64 2 (.f64 y (+.f64 y (-.f64 y (.f64 x x)))) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y y))) (neg.f64 (-.f64 (+.f64 (*.f64 x x) y) y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (fma.f64 x x 0))
(/.f64 (+.f64 y (fma.f64 x x y)) (/.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 2 y (.f64 x x)) (/.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (+.f64 (.f64 x x) y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 x x) y) 2) (.f64 y (-.f64 y (+.f64 (.f64 x x) y))))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) 1) (+.f64 (pow.f64 (fma.f64 x x y) 2) (.f64 y (-.f64 y (fma.f64 x x y)))))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 y (*.f64 x (neg.f64 x)) (pow.f64 (fma.f64 x x y) 2)))
(/.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (fma.f64 (fma.f64 x x y) (.f64 x x) (.f64 y y)))
(pow.f64 (+.f64 (+.f64 (*.f64 x x) y) y) 1)
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) y) y)) 2)
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (*.f64 x x) y) y)) 3)
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(pow.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x x) y) y) 3) 1/3)
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x x) y) y) 2))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(log.f64 (exp.f64 (+.f64 (+.f64 (*.f64 x x) y) y)))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (*.f64 x x) y) y))))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (*.f64 x x) y) y) 3))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (*.f64 x x) y) y)))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(exp.f64 (log.f64 (+.f64 (+.f64 (*.f64 x x) y) y)))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(exp.f64 (.f64 (log.f64 (+.f64 (+.f64 (.f64 x x) y) y)) 1))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (*.f64 x x) y) y)))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(fma.f64 x x (+.f64 y y))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(fma.f64 1 (*.f64 x x) (+.f64 y y))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(fma.f64 1 y (+.f64 (*.f64 x x) y))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(fma.f64 1 (+.f64 (*.f64 x x) y) y)
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(fma.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 (*.f64 x x) y))
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x x) y)) 2) (cbrt.f64 (+.f64 (.f64 x x) y)) y)
(fma.f64 2 y (*.f64 x x))
(+.f64 y (fma.f64 x x y))
(fma.f64 (cbrt.f64 (.f64 y y)) (cbrt.f64 y) (+.f64 (.f64 x x) y))
(fma.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y) (fma.f64 x x y))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (+.f64 y y))
(fma.f64 2 y (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x))))

localize5.0ms (0.4%)

Compiler: Compiled 13 to 4 computations (69.2% saved)

eval32.0ms (2.2%)

Compiler: Compiled 914 to 300 computations (67.2% saved)

prune9.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	59	4	63

Error

Counts

63 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 x x (+.f64 y y))
✓	0.0b	(+.f64 (+.f64 (*.f64 x x) y) y)
▶	19.0b	(+.f64 y y)
▶	43.5b	(*.f64 x x)

Compiler

Compiled 27 to 15 computations (44.4% saved)

localize3.0ms (0.2%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize3.0ms (0.2%)

Compiler: Compiled 6 to 3 computations (50% saved)

eval0.0ms (0%)

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

prune5.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 x x (+.f64 y y))
✓	0.0b	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	19.0b	(+.f64 y y)
✓	43.5b	(*.f64 x x)

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes14.0ms (0.9%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(+.f64 y y)
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 x x (+.f64 y y))

Outputs
(fma.f64 x x (+.f64 y y))

Calls

4 calls:

4.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
3.0ms	x
3.0ms	y
3.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
0b	1	`(*.f64 x x)`

Compiler

Compiled 41 to 19 computations (53.7% saved)

regimes14.0ms (1%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(+.f64 y y)
(+.f64 (+.f64 (*.f64 x x) y) y)

Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)

Calls

4 calls:

3.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
3.0ms	x
3.0ms	y
2.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
0.0b	1	`(*.f64 x x)`

Compiler

Compiled 35 to 18 computations (48.6% saved)

regimes86.0ms (6%)

Accuracy

Total -53.4b remaining (-630.5%)

Threshold costs -53.4b (-630.5%)

Counts

2 → 5

Calls

Call 1

Inputs
(*.f64 x x)
(+.f64 y y)

Outputs
(*.f64 x x)
(+.f64 y y)
(*.f64 x x)
(+.f64 y y)
(*.f64 x x)

Calls

3 calls:

41.0ms	y
41.0ms	x
4.0ms	(*.f64 x x)

Results

Error	Segments	Branch
8.5b	5	`x`
12.6b	5	`y`
10.1b	2	`(*.f64 x x)`

Compiler

Compiled 19 to 11 computations (42.1% saved)

bsearch94.0ms (6.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
39.0ms	3.547458650796064e+36	3.2374122984347053e+40
13.0ms	-7.863850387462266e-64	-5.379488286433921e-69
31.0ms	-9.247988725984815e-12	-2.997482814401038e-14
10.0ms	-2.0706908272051363e+34	-6.071564798146328e+32

Results

88.0ms

512×

body

256

valid

Compiler

Compiled 398 to 265 computations (33.4% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

8×	`not-or`
6×	`not-not`
6×	`if-if-or-not`
6×	`if-not`
4×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	112
1	32	112
2	35	112
3	41	108
4	45	108
5	49	108
6	50	108
7	51	108

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x x (+.f64 y y))
(+.f64 (+.f64 (*.f64 x x) y) y)
(if (<=.f64 x -779999999999999980607110262030336) (.f64 x x) (if (<=.f64 x -5862884026055561/158456325028528675187087900672) (+.f64 y y) (if (<=.f64 x -722542636840853/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.f64 x x) (if (<=.f64 x 3599999999999999739507227295370706944) (+.f64 y y) (*.f64 x x)))))
(*.f64 x x)

Outputs
(fma.f64 x x (+.f64 y y))
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (+.f64 y (*.f64 x x)))
(if (<=.f64 x -779999999999999980607110262030336) (.f64 x x) (if (<=.f64 x -5862884026055561/158456325028528675187087900672) (+.f64 y y) (if (<=.f64 x -722542636840853/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.f64 x x) (if (<=.f64 x 3599999999999999739507227295370706944) (+.f64 y y) (*.f64 x x)))))
(if (<=.f64 x -779999999999999980607110262030336) (.f64 x x) (if (or (<=.f64 x -5862884026055561/158456325028528675187087900672) (and (not (<=.f64 x -722542636840853/926336713898529563388567880069503262826159877325124512315660672063305037119488)) (<=.f64 x 3599999999999999739507227295370706944))) (+.f64 y y) (.f64 x x)))
(*.f64 x x)

Compiler

Compiled 50 to 29 computations (42% saved)

soundness33.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

8×	`fma-def`
6×	`+-commutative`
2×	`*-commutative`
2×	`associate-+l+`
2×	`count-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
2	17	15
3	19	15
4	20	15

Stop Event

1×

saturated

Compiler

Compiled 22 to 8 computations (63.6% saved)

end52.0ms (3.6%)

Compiler: Compiled 44 to 20 computations (54.5% saved)

Details

analyze85.0ms (5.9%)

sample790.0ms (54.7%)

preprocess15.0ms (1.1%)

simplify11.0ms (0.8%)

eval13.0ms (0.9%)

prune1.0ms (0.1%)

localize6.0ms (0.4%)

series1.0ms (0.1%)

rewrite84.0ms (5.8%)

simplify81.0ms (5.6%)

localize5.0ms (0.4%)

eval32.0ms (2.2%)

prune9.0ms (0.6%)

localize3.0ms (0.2%)

localize3.0ms (0.2%)

eval0.0ms (0%)

prune5.0ms (0.3%)

regimes14.0ms (0.9%)

regimes14.0ms (1%)

regimes86.0ms (6%)

bsearch94.0ms (6.5%)

simplify7.0ms (0.5%)

soundness33.0ms (2.3%)

end52.0ms (3.6%)

Profiling