Details

analyze49.0ms (1.4%)

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
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	8
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	9
82%	82%	18%	0.1%	0%	0%	0%	10
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.1s (30.1%)

Results

968.0ms	7739×	body	256	valid
42.0ms	234×	body	1024	valid
40.0ms	164×	body	2048	valid
15.0ms	119×	body	512	valid
0.0ms	3×	body	256	infinite

Bogosity

preprocess44.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

446×	`fma-neg_binary64`
114×	`fma-def_binary64`
90×	`cancel-sign-sub-inv_binary64`
62×	`sub-neg_binary64`
52×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	20	20
2	40	20
3	74	20
4	157	20
5	326	20
6	622	16
7	992	16
8	1290	16
9	1350	16
10	1354	16
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 y (/.f64 (-.f64 y x) 2))

Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 1/2 (-.f64 x y) x)
(fma.f64 (-.f64 x y) 1/2 x)
(+.f64 y (/.f64 (-.f64 y x) 2))
(+.f64 y (*.f64 -1/2 (-.f64 x y)))
(fma.f64 x -1/2 (*.f64 y 3/2))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify23.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

254×	`fma-neg_binary64`
112×	`fma-def_binary64`
91×	`cancel-sign-sub-inv_binary64`
45×	`sub-neg_binary64`
40×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	24	10
3	43	10
4	87	10
5	170	10
6	324	10
7	504	8
8	748	8
9	988	8
10	1046	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))

Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(fma.f64 y -1/2 (*.f64 x 3/2))

eval1.0ms (0%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 x (/.f64 (-.f64 x y) 2))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))

Compiler

Compiled 20 to 9 computations (55% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+.f64 x (/.f64 (-.f64 x y) 2))
1.0ms	y	@	-inf	(+.f64 x (/.f64 (-.f64 x y) 2))
1.0ms	x	@	inf	(+.f64 x (/.f64 (-.f64 x y) 2))
0.0ms	x	@	0	(+.f64 x (/.f64 (-.f64 x y) 2))
0.0ms	y	@	inf	(+.f64 x (/.f64 (-.f64 x y) 2))

rewrite51.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`unpow-prod-down_binary64`
395×	`log-prod_binary64`
344×	`fma-def_binary64`
289×	`exp-prod_binary64`
259×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	171	8
2	2556	8

Stop Event

1×	node limit

Counts

1 → 74

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 x y) 1/2))) (/.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 x (.f64 (-.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (.f64 x 1/2)) (.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (-.f64 x y) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (-.f64 x y) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (.f64 (-.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (pow.f64 (/.f64 1 (-.f64 x (.f64 (-.f64 x y) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (fma.f64 (-.f64 x y) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (-.f64 x y) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (.f64 x x)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (.f64 (-.f64 x y) 1/2)) (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 x y) 2) 1/4 (-.f64 (.f64 x x) (.f64 x (.f64 (-.f64 x y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (.f64 (-.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4))) (neg.f64 (-.f64 x (.f64 (-.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (.f64 x x)) (-.f64 (.f64 (-.f64 x y) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (.f64 x x)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (.f64 (-.f64 x y) 1/2)) (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 (-.f64 x y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 (-.f64 x y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 x y) 1/2))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (sqrt.f64 (exp.f64 (-.f64 x y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 x y) 1/2))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (neg.f64 (-.f64 (.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x y) 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (-.f64 x y) 1/2) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (-.f64 x y) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 1/2) (neg.f64 (-.f64 (.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (-.f64 x y) 1/2)) (pow.f64 (cbrt.f64 (.f64 (-.f64 x y) 1/2)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 x y) 1/2)) 2) (cbrt.f64 (.f64 (-.f64 x y) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (.f64 (cbrt.f64 (-.f64 x y)) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (-.f64 x y) 1/2)) (sqrt.f64 (.f64 (-.f64 x y) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x y)) (.f64 (sqrt.f64 (-.f64 x y)) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 x y)) -1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (-.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (neg.f64 (-.f64 (.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (-.f64 (*.f64 y 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 x y) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 x (*.f64 (-.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 x 1/2)) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 x y) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (pow.f64 (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 x y) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 x y) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 x y) 2) 1/4 (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 x y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 (-.f64 x y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 1/4) (*.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 x y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) 1/2))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (neg.f64 (-.f64 (*.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 x y) 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 x y) 1/2) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 x y) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (neg.f64 (-.f64 (*.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) 2) (cbrt.f64 (*.f64 (-.f64 x y) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) (sqrt.f64 (*.f64 (-.f64 x y) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 x y)) -1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (-.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))))))

simplify90.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

477×	`fma-neg_binary64`
424×	`div-sub_binary64`
309×	`unswap-sqr_binary64`
294×	`distribute-rgt-in_binary64`
277×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	1251
1	509	1207
2	1286	1174
3	5171	1174

Stop Event

1×	node limit

Counts

98 → 101

Calls

Call 1

Inputs
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (*.f64 1/2 x) x)
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/2 x) x))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/2 x) x))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/2 x) x))
(*.f64 -1/2 y)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 y) x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 y) x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 y) x))
(*.f64 -1/2 y)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 y) x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 y) x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 y) x))
(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 x y) 1/2))) (/.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 x (.f64 (-.f64 x y) 1/2))))
(-.f64 (+.f64 x (.f64 x 1/2)) (.f64 y 1/2))
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(*.f64 1 (fma.f64 (-.f64 x y) 1/2 x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (.f64 x x))))
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (.f64 x x))) 1))
(.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (.f64 (-.f64 x y) 1/2))))
(.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (pow.f64 (/.f64 1 (-.f64 x (.f64 (-.f64 x y) 1/2))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 x y) 1/2 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (-.f64 x y) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(/.f64 1 (/.f64 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (.f64 (-.f64 x y) 1/2)) (-.f64 (.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 x y) 2) 1/4 (-.f64 (.f64 x x) (.f64 x (*.f64 (-.f64 x y) 1/2)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 (-.f64 x y) 1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
(pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(pow.f64 (/.f64 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (.f64 (-.f64 x y) 1/2)) (-.f64 (.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 x y)))))
(log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 (-.f64 x y) 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 (-.f64 x y) 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 x y) 1/2))) (exp.f64 x)))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 x y))) (+.f64 1 (expm1.f64 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 x y) 1/2))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1) 1))
(fma.f64 x 1 (*.f64 (-.f64 x y) 1/2))
(fma.f64 x 1/2 (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 (-.f64 x y) 1/2 x)
(fma.f64 (*.f64 (-.f64 x y) 1/2) 1 x)
(fma.f64 1 x (*.f64 (-.f64 x y) 1/2))
(fma.f64 1 (*.f64 (-.f64 x y) 1/2) x)
(fma.f64 1 (.f64 x 1/2) (neg.f64 (-.f64 (.f64 y 1/2) x)))
(fma.f64 (cbrt.f64 (.f64 (-.f64 x y) 1/2)) (pow.f64 (cbrt.f64 (.f64 (-.f64 x y) 1/2)) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 x y) 1/2)) 2) (cbrt.f64 (.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) 1/2) x)
(fma.f64 (sqrt.f64 (.f64 (-.f64 x y) 1/2)) (sqrt.f64 (.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) 1/2) x)
(fma.f64 (neg.f64 (-.f64 x y)) -1/2 x)
(fma.f64 1/2 (-.f64 x y) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))

Outputs
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(+.f64 (*.f64 1/2 x) x)
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/2 x) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(*.f64 -1/2 y)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(*.f64 -1/2 y)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/2 y) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 x y) 1/2))) (/.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 x (.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (*.f64 x x)) (fma.f64 -1/2 (-.f64 x y) x))
(-.f64 (+.f64 x (.f64 x 1/2)) (.f64 y 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(*.f64 1 (fma.f64 (-.f64 x y) 1/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(*.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (.f64 x x))))
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 1/2 (-.f64 x y)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (.f64 1/2 (-.f64 x y)) (-.f64 (.f64 1/2 (-.f64 x y)) x) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (.f64 x x))) 1))
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 1/2 (-.f64 x y)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (.f64 1/2 (-.f64 x y)) (-.f64 (.f64 1/2 (-.f64 x y)) x) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (*.f64 x x)) (fma.f64 -1/2 (-.f64 x y) x))
(.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (pow.f64 (/.f64 1 (-.f64 x (.f64 (-.f64 x y) 1/2))) 1))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (*.f64 x x)) (fma.f64 -1/2 (-.f64 x y) x))
(*.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 x y) 1/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3)) 1/3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (-.f64 x y) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 1/2 (-.f64 x y) x) (cbrt.f64 (fma.f64 1/2 (-.f64 x y) x))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (-.f64 x y) x))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y))) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (-.f64 y x) x)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 (-.f64 y x) x))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (-.f64 x y) x) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (-.f64 x y) x))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 3/2 x (.f64 -1/2 y)) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (-.f64 y x) x) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (-.f64 y x) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(/.f64 1 (/.f64 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))))
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 1/2 (-.f64 x y)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (.f64 1/2 (-.f64 x y)) (-.f64 (.f64 1/2 (-.f64 x y)) x) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(/.f64 1 (/.f64 (-.f64 x (.f64 (-.f64 x y) 1/2)) (-.f64 (.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (*.f64 x x)) (fma.f64 -1/2 (-.f64 x y) x))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (*.f64 x x)))
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 1/2 (-.f64 x y)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (.f64 1/2 (-.f64 x y)) (-.f64 (.f64 1/2 (-.f64 x y)) x) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 x y) 2) 1/4 (-.f64 (.f64 x x) (.f64 x (*.f64 (-.f64 x y) 1/2)))))
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 1/2 (-.f64 x y)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (.f64 1/2 (-.f64 x y)) (-.f64 (.f64 1/2 (-.f64 x y)) x) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 (-.f64 x y) 1/2)))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (*.f64 x x)) (fma.f64 -1/2 (-.f64 x y) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (*.f64 x x))))
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 1/2 (-.f64 x y)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (.f64 1/2 (-.f64 x y)) (-.f64 (.f64 1/2 (-.f64 x y)) x) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (*.f64 x x)) (fma.f64 -1/2 (-.f64 x y) x))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (.f64 x x)) (-.f64 (*.f64 (-.f64 x y) 1/2) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (*.f64 x x)) (fma.f64 -1/2 (-.f64 x y) x))
(pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2) 1/2)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(pow.f64 (/.f64 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) -1)
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 1/2 (-.f64 x y)) (fma.f64 (-.f64 x y) 1/2 (neg.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (.f64 1/2 (-.f64 x y)) (-.f64 (.f64 1/2 (-.f64 x y)) x) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 x (fma.f64 -1/2 (-.f64 x y) x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4)))
(pow.f64 (/.f64 (-.f64 x (.f64 (-.f64 x y) 1/2)) (-.f64 (.f64 x x) (*.f64 (pow.f64 (-.f64 x y) 2) 1/4))) -1)
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (*.f64 1/2 (-.f64 x y))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 (-.f64 x y) 2) -1/4)) (+.f64 x (.f64 -1/2 (-.f64 x y))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 2) -1/4 (*.f64 x x)) (fma.f64 -1/2 (-.f64 x y) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (-.f64 x y) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (-.f64 x y) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 3/2 x (.f64 -1/2 y)))) 2)) (cbrt.f64 (log.f64 (fma.f64 3/2 x (.f64 -1/2 y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 (-.f64 y x) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 (-.f64 y x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (-.f64 x y) x)))) (sqrt.f64 (log.f64 (fma.f64 1/2 (-.f64 x y) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 3/2 x (.f64 -1/2 y))))) (sqrt.f64 (log.f64 (fma.f64 3/2 x (.f64 -1/2 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 (-.f64 y x) x)))) (sqrt.f64 (log.f64 (fma.f64 -1/2 (-.f64 y x) x))))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 x y)))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 (-.f64 x y) 1/2)))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 (-.f64 x y) 1/2)))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 x y) 1/2))) (exp.f64 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 x y))) (+.f64 1 (expm1.f64 x))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 x y) 1/2))) (+.f64 1 (expm1.f64 x))))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1/3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 3))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) 2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1) 1))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 x 1 (*.f64 (-.f64 x y) 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 x 1/2 (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 (-.f64 x y) 1/2 x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 (*.f64 (-.f64 x y) 1/2) 1 x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 1 x (*.f64 (-.f64 x y) 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 1 (*.f64 (-.f64 x y) 1/2) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 1 (.f64 x 1/2) (neg.f64 (-.f64 (.f64 y 1/2) x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 (cbrt.f64 (.f64 (-.f64 x y) 1/2)) (pow.f64 (cbrt.f64 (.f64 (-.f64 x y) 1/2)) 2) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 x y) 1/2)) 2) (cbrt.f64 (.f64 (-.f64 x y) 1/2)) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 x y) 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) 1/2) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 (sqrt.f64 (.f64 (-.f64 x y) 1/2)) (sqrt.f64 (.f64 (-.f64 x y) 1/2)) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) 1/2) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 (neg.f64 (-.f64 x y)) -1/2 x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 1/2 (-.f64 x y) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 (-.f64 y x) x)

eval29.0ms (0.8%)

Compiler: Compiled 1507 to 849 computations (43.7% saved)

prune36.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	97	5	102

Error

Counts

102 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 3/2 x (*.f64 -1/2 y))
▶	0.1b	(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
✓	0.1b	(+.f64 x (/.f64 (-.f64 x y) 2))
▶	31.4b	(*.f64 3/2 x)
▶	31.5b	(*.f64 -1/2 y)

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))

Compiler

Compiled 25 to 16 computations (36% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
0.0ms	y	@	0	(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
0.0ms	x	@	inf	(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
0.0ms	y	@	inf	(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
0.0ms	y	@	-inf	(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))

rewrite66.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`fma-def_binary64`
464×	`log-prod_binary64`
345×	`exp-prod_binary64`
327×	`pow-prod-down_binary64`
287×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	186	10
2	2766	8

Stop Event

1×	node limit

Counts

1 → 129

Calls

Call 1

Inputs
(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 1/2 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 1/2) (neg.f64 (-.f64 (.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 1/2) (.f64 (neg.f64 (-.f64 (.f64 1/2 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (-.f64 x y) x) (fma.f64 (neg.f64 (-.f64 (.f64 1/2 y) x)) 1 (-.f64 (.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (-.f64 x y) x) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 y) x)) 2) (-.f64 (.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 (-.f64 x y) x) (+.f64 (neg.f64 (-.f64 (.f64 1/2 y) x)) (-.f64 (.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 (.f64 1/2 y) x)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (-.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/2 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Outputs

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simplify86.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

301×	`distribute-rgt-in_binary64`
277×	`distribute-lft-in_binary64`
241×	`cancel-sign-sub-inv_binary64`
239×	`unswap-sqr_binary64`
225×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	2021
1	670	1928
2	1887	1850
3	7762	1850

Stop Event

1×	node limit

Counts

153 → 156

Calls

Call 1

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

Outputs
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
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(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (-.f64 (.f64 y 1/2) x) 2)) (-.f64 (.f64 1/2 (+.f64 x y)) x))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 -1/2 y x) 2)) (fma.f64 1/2 (+.f64 y x) (neg.f64 x)))
(fma.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (-.f64 (.f64 1/2 y) x) 2)) (/.f64 1 (-.f64 (fma.f64 x 1/2 (.f64 1/2 y)) x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 y) x)) 2) (-.f64 (.f64 1/2 y) x)))
(.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (-.f64 (.f64 y 1/2) x) 2)) (/.f64 1 (-.f64 (fma.f64 x 1/2 (.f64 y 1/2)) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (-.f64 (.f64 y 1/2) x) 2)) (-.f64 (.f64 1/2 (+.f64 x y)) x))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 -1/2 y x) 2)) (fma.f64 1/2 (+.f64 y x) (neg.f64 x)))
(fma.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (-.f64 (.f64 1/2 y) x) 2)) (/.f64 1 (-.f64 (fma.f64 x 1/2 (.f64 1/2 y)) x)) (+.f64 (neg.f64 (-.f64 (.f64 1/2 y) x)) (-.f64 (*.f64 1/2 y) x)))
(.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (-.f64 (.f64 y 1/2) x) 2)) (/.f64 1 (-.f64 (fma.f64 x 1/2 (.f64 y 1/2)) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (-.f64 (.f64 y 1/2) x) 2)) (-.f64 (.f64 1/2 (+.f64 x y)) x))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 -1/2 y x) 2)) (fma.f64 1/2 (+.f64 y x) (neg.f64 x)))
(fma.f64 (*.f64 1/2 (-.f64 x y)) 1 x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (-.f64 (.f64 1/2 y) x))) 2) (cbrt.f64 (neg.f64 (-.f64 (.f64 1/2 y) x))) (*.f64 x 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (-.f64 x y))) 2) (cbrt.f64 (.f64 1/2 (-.f64 x y))) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (-.f64 x y))) 2) (cbrt.f64 (.f64 1/2 (-.f64 x y))) (neg.f64 (neg.f64 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 (neg.f64 (-.f64 (.f64 1/2 y) x))) (sqrt.f64 (neg.f64 (-.f64 (.f64 1/2 y) x))) (*.f64 x 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 (.f64 1/2 (-.f64 x y))) (sqrt.f64 (.f64 1/2 (-.f64 x y))) x)
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (sqrt.f64 (.f64 1/2 (-.f64 x y))) (sqrt.f64 (.f64 1/2 (-.f64 x y))) (neg.f64 (neg.f64 x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 1/2 y) x))) (sqrt.f64 (-.f64 (.f64 1/2 y) x)) (*.f64 x 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1 (-.f64 (.f64 1/2 y) x) (.f64 x 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (-.f64 (.f64 1/2 y) x))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (-.f64 (.f64 1/2 y) x))) (fma.f64 (neg.f64 (-.f64 (.f64 1/2 y) x)) 1 (-.f64 (.f64 1/2 y) x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (-.f64 (.f64 1/2 y) x))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (-.f64 (.f64 1/2 y) x))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 y) x)) 2) (-.f64 (*.f64 1/2 y) x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (-.f64 (.f64 1/2 y) x))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (-.f64 (.f64 1/2 y) x))) (+.f64 (neg.f64 (-.f64 (.f64 1/2 y) x)) (-.f64 (.f64 1/2 y) x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 1/2 y))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 1/2 y))) x)
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 y 1/2))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 y 1/2))) x)
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 1/2 y))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 1/2 y))) (neg.f64 (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 y 1/2))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 y 1/2))) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 y) x)) 2)) (cbrt.f64 (-.f64 (.f64 1/2 y) x)) (*.f64 x 1/2))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 1/2 y) x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 (-.f64 (*.f64 1/2 y) x)) 1))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 1/2 y) x)))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (-.f64 (*.f64 1/2 y) x)) 1))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 3/2 x (*.f64 -1/2 y))

Compiler

Compiled 15 to 10 computations (33.3% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(fma.f64 3/2 x (*.f64 -1/2 y))
0.0ms	x	@	-inf	(fma.f64 3/2 x (*.f64 -1/2 y))
0.0ms	x	@	0	(fma.f64 3/2 x (*.f64 -1/2 y))
0.0ms	y	@	inf	(fma.f64 3/2 x (*.f64 -1/2 y))
0.0ms	y	@	-inf	(fma.f64 3/2 x (*.f64 -1/2 y))

rewrite42.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`pow1_binary64`
572×	`add-log-exp_binary64`
572×	`log1p-expm1-u_binary64`
572×	`expm1-log1p-u_binary64`
562×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	141	8
2	1531	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 3/2 x (*.f64 -1/2 y))

Outputs

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

simplify304.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

657×	`distribute-rgt-in_binary64`
633×	`distribute-lft-in_binary64`
396×	`associate-l_binary64`
324×	`associate-r_binary64`
249×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	394
1	155	383
2	624	380
3	3231	378

Stop Event

1×	node limit

Counts

45 → 32

Calls

Call 1

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

Outputs
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (.f64 3/2 x) (.f64 -1/2 y))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(+.f64 (.f64 (.f64 3/2 x) 1) (*.f64 -1/2 y))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(-.f64 (+.f64 1 (fma.f64 3/2 x (*.f64 -1/2 y))) 1)
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(.f64 (fma.f64 3/2 x (.f64 -1/2 y)) 1)
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(.f64 1 (fma.f64 3/2 x (.f64 -1/2 y)))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(.f64 (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y))) (pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 3/2 x (.f64 -1/2 y))) 2) (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(.f64 (sqrt.f64 (fma.f64 3/2 x (.f64 -1/2 y))) (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(/.f64 (+.f64 (pow.f64 (.f64 3/2 x) 3) (pow.f64 (.f64 -1/2 y) 3)) (+.f64 (.f64 (.f64 3/2 x) (.f64 3/2 x)) (-.f64 (.f64 (.f64 y y) 1/4) (.f64 (.f64 3/2 x) (.f64 -1/2 y)))))
(/.f64 (+.f64 (pow.f64 (.f64 3/2 x) 3) (pow.f64 (.f64 -1/2 y) 3)) (+.f64 (.f64 9/4 (.f64 x x)) (-.f64 (.f64 (.f64 y y) 1/4) (.f64 (.f64 -1/2 y) (*.f64 3/2 x)))))
(/.f64 (fma.f64 27/8 (pow.f64 x 3) (pow.f64 (.f64 -1/2 y) 3)) (-.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) 1/4)) (.f64 y (.f64 x -3/4))))
(/.f64 (fma.f64 -1/8 (pow.f64 y 3) (.f64 27/8 (pow.f64 x 3))) (fma.f64 x (.f64 x 9/4) (.f64 y (-.f64 (.f64 y 1/4) (*.f64 x -3/4)))))
(/.f64 (fma.f64 -1/8 (pow.f64 y 3) (.f64 27/8 (pow.f64 x 3))) (fma.f64 x (.f64 x 9/4) (.f64 y (fma.f64 y 1/4 (.f64 x 3/4)))))
(/.f64 (-.f64 (.f64 (.f64 3/2 x) (.f64 3/2 x)) (.f64 (.f64 y y) 1/4)) (-.f64 (.f64 3/2 x) (*.f64 -1/2 y)))
(/.f64 (-.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y y) 1/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
(/.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4)) (fma.f64 3/2 x (.f64 y 1/2)))
(/.f64 (fma.f64 y (.f64 y -1/4) (.f64 9/4 (.f64 x x))) (fma.f64 y 1/2 (.f64 3/2 x)))
(pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 1)
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(pow.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 3) 1/3)
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(pow.f64 (cbrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 3)
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(pow.f64 (sqrt.f64 (fma.f64 3/2 x (*.f64 -1/2 y))) 2)
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(sqrt.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 2))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(log.f64 (exp.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(cbrt.f64 (pow.f64 (fma.f64 3/2 x (*.f64 -1/2 y)) 3))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(expm1.f64 (log1p.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(log1p.f64 (expm1.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))
(exp.f64 (log.f64 (fma.f64 3/2 x (*.f64 -1/2 y))))
(fma.f64 3/2 x (*.f64 -1/2 y))
(fma.f64 -1/2 y (*.f64 3/2 x))

eval64.0ms (1.8%)

Compiler: Compiled 3255 to 2159 computations (33.7% saved)

prune29.0ms (0.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	187	6	193

Error

Counts

193 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 3/2 x (*.f64 -1/2 y))
▶	31.0b	(/.f64 (-.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y y) 1/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
✓	0.1b	(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
✓	0.1b	(+.f64 x (/.f64 (-.f64 x y) 2))
✓	31.4b	(*.f64 3/2 x)
✓	31.5b	(*.f64 -1/2 y)

Compiler

Compiled 59 to 43 computations (27.1% saved)

localize24.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 3/2 x) (.f64 1/2 y))
✓	0.1b	(.f64 9/4 (.f64 x x))
✓	2.3b	(-.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y y) 1/4))
✓	29.2b	(/.f64 (-.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y y) 1/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))

Compiler

Compiled 67 to 37 computations (44.8% saved)

series10.0ms (0.3%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 9/4 (.f64 x x))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y y) 1/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
1.0ms	y	@	0	(/.f64 (-.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y y) 1/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
1.0ms	y	@	inf	(/.f64 (-.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y y) 1/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y y) 1/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))

rewrite88.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

855×	`log-prod_binary64`
466×	`fma-neg_binary64`
286×	`expm1-udef_binary64`
286×	`log1p-udef_binary64`
230×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	365	39
2	5134	39

Stop Event

1×	node limit

Counts

4 → 258

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y y) 1/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
(-.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y y) 1/4))
(.f64 9/4 (.f64 x x))
(+.f64 (.f64 3/2 x) (.f64 1/2 y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 3/2) (neg.f64 (.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 3/2) (.f64 (neg.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 3/2) (.f64 -1 (.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 3/2) (.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 y 1/4)))) (cbrt.f64 (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 3/2) (.f64 (neg.f64 (sqrt.f64 (.f64 y 1/2))) (sqrt.f64 (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 3/2) (.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 9/4 (/.f64 (.f64 x x) (fma.f64 x 3/2 (.f64 y 1/2)))) (neg.f64 (.f64 1/4 (/.f64 (.f64 y y) (fma.f64 x 3/2 (.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) (fma.f64 -1/2 y (.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) (fma.f64 (neg.f64 y) 1/2 (.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) (fma.f64 (neg.f64 (.f64 y 1/2)) 1 (.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y 1/2))) (cbrt.f64 (.f64 y (.f64 y 1/4))) (.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/2))) (sqrt.f64 (.f64 y 1/2)) (.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)))) (cbrt.f64 (exp.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x 3/2) (.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 9/4 (/.f64 (.f64 x x) (fma.f64 x 3/2 (.f64 y 1/2)))) (.f64 1/4 (/.f64 (.f64 y y) (fma.f64 x 3/2 (.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4)) (/.f64 1 (fma.f64 x 3/2 (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))) (pow.f64 (cbrt.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))) 2) (cbrt.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) 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(sqrt.f64 (.f64 (.f64 y y) -1/4))) (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (.f64 y 1/2))) 2)) (/.f64 (hypot.f64 (.f64 x 3/2) (sqrt.f64 (.f64 (.f64 y y) -1/4))) (cbrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4))) 2) (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))) (/.f64 (cbrt.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4))) (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (.f64 x 3/2)) (sqrt.f64 (.f64 y 1/2))) (-.f64 (sqrt.f64 (.f64 x 3/2)) (sqrt.f64 (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4)) (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8))) (+.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y 1/2) (-.f64 (.f64 y 1/2) (.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4)) (fma.f64 9/4 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(.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 x 3/2))) (pow.f64 (exp.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 x) 3/2) (+.f64 1 (expm1.f64 (.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 x 3/2))) (+.f64 1 (expm1.f64 (.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4)) 3) (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> 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(pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3/2 (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3/2 (.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 3/2))) (pow.f64 (exp.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) 3/2) (+.f64 1 (expm1.f64 (.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 3/2))) (+.f64 1 (expm1.f64 (.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y 1/2))) (pow.f64 (exp.f64 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 y) 1/2) (+.f64 1 (expm1.f64 (.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y 1/2))) (+.f64 1 (expm1.f64 (.f64 x 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3/2 (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3/2 (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3/2 (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 3/2 (.f64 y 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3/2 (.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1/2 (.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/2 x (.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 y (.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x 3/2) (.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y 1/2) (.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 y (.f64 y 1/4))) (cbrt.f64 (.f64 y 1/2)) (.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (cbrt.f64 (.f64 x 3/2)) (.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x 3/2)) (sqrt.f64 (.f64 x 3/2)) (.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 y 1/2)) (sqrt.f64 (.f64 y 1/2)) (*.f64 x 3/2))))))

simplify127.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

835×	`fma-neg_binary64`
386×	`times-frac_binary64`
293×	`associate-r_binary64`
292×	`associate-l_binary64`
277×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	576	5874
1	1446	5641
2	6390	5529

Stop Event

1×	node limit

Counts

342 → 405

Calls

Call 1

Inputs
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 -1/4 (pow.f64 y 2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(*.f64 9/4 (pow.f64 x 2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(*.f64 9/4 (pow.f64 x 2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(*.f64 9/4 (pow.f64 x 2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 y 2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 y 2))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 1/2 y)
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(*.f64 1/2 y)
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(*.f64 1/2 y)
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(+.f64 (.f64 1/2 y) (.f64 3/2 x))
(+.f64 (.f64 x 3/2) (neg.f64 (.f64 y 1/2)))
(+.f64 (.f64 x 3/2) (.f64 (neg.f64 y) 1/2))
(+.f64 (.f64 x 3/2) (.f64 -1 (*.f64 y 1/2)))
(+.f64 (.f64 x 3/2) (.f64 (neg.f64 (cbrt.f64 (.f64 y (.f64 y 1/4)))) (cbrt.f64 (*.f64 y 1/2))))
(+.f64 (.f64 x 3/2) (.f64 (neg.f64 (sqrt.f64 (.f64 y 1/2))) (sqrt.f64 (.f64 y 1/2))))
(+.f64 (.f64 x 3/2) (.f64 -1/2 y))
(+.f64 (.f64 9/4 (/.f64 (.f64 x x) (fma.f64 x 3/2 (.f64 y 1/2)))) (neg.f64 (.f64 1/4 (/.f64 (.f64 y y) (fma.f64 x 3/2 (.f64 y 1/2))))))
(+.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) (fma.f64 -1/2 y (*.f64 y 1/2)))
(+.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) (fma.f64 (neg.f64 y) 1/2 (*.f64 y 1/2)))
(+.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) (fma.f64 (neg.f64 (.f64 y 1/2)) 1 (.f64 y 1/2)))
(+.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y 1/2))) (cbrt.f64 (.f64 y (.f64 y 1/4))) (.f64 y 1/2)))
(+.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y 1/2))) (sqrt.f64 (.f64 y 1/2)) (*.f64 y 1/2)))
(+.f64 0 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)))) (cbrt.f64 (exp.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 x 3/2) (*.f64 -1/2 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))))))
(-.f64 (.f64 x 3/2) (.f64 y 1/2))
(-.f64 (.f64 9/4 (/.f64 (.f64 x x) (fma.f64 x 3/2 (.f64 y 1/2)))) (.f64 1/4 (/.f64 (.f64 y y) (fma.f64 x 3/2 (.f64 y 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)))) 1)
(.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4)) (/.f64 1 (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 1 (+.f64 (.f64 x 3/2) (*.f64 -1/2 y)))
(.f64 (cbrt.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))) (pow.f64 (cbrt.f64 (+.f64 (.f64 x 3/2) (*.f64 -1/2 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))) 2) (cbrt.f64 (+.f64 (.f64 x 3/2) (*.f64 -1/2 y))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4))) 2) (.f64 (cbrt.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4))) (/.f64 1 (fma.f64 x 3/2 (*.f64 y 1/2)))))
(.f64 (sqrt.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))) (sqrt.f64 (+.f64 (.f64 x 3/2) (*.f64 -1/2 y))))
(.f64 (hypot.f64 (.f64 x 3/2) (sqrt.f64 (.f64 (.f64 y y) -1/4))) (.f64 (hypot.f64 (.f64 x 3/2) (sqrt.f64 (.f64 (.f64 y y) -1/4))) (/.f64 1 (fma.f64 x 3/2 (*.f64 y 1/2)))))
(.f64 (neg.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4))) (/.f64 1 (neg.f64 (fma.f64 x 3/2 (*.f64 y 1/2)))))
(.f64 (/.f64 1 (fma.f64 x 3/2 (.f64 y 1/2))) (fma.f64 9/4 (.f64 x x) (.f64 (*.f64 y y) -1/4)))
(.f64 (+.f64 (.f64 x 3/2) (*.f64 -1/2 y)) 1)
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (.f64 y 1/2))) 2)) (/.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4)) (cbrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))) (/.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4)) (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4))) (fma.f64 x 3/2 (.f64 y 1/2))))
(.f64 (/.f64 (hypot.f64 (.f64 x 3/2) (sqrt.f64 (.f64 (.f64 y y) -1/4))) 1) (/.f64 (hypot.f64 (.f64 x 3/2) (sqrt.f64 (.f64 (.f64 y y) -1/4))) (fma.f64 x 3/2 (.f64 y 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4))) 2) (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (.f64 y 1/2))) 2)) (cbrt.f64 (+.f64 (.f64 x 3/2) (*.f64 -1/2 y))))
(.f64 (/.f64 (hypot.f64 (.f64 x 3/2) (sqrt.f64 (.f64 (.f64 y y) -1/4))) (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (.f64 y 1/2))) 2)) (/.f64 (hypot.f64 (.f64 x 3/2) (sqrt.f64 (.f64 (.f64 y y) -1/4))) (cbrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4))) 2) (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))) (/.f64 (cbrt.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4))) (sqrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2)))))
(.f64 (+.f64 (sqrt.f64 (.f64 x 3/2)) (sqrt.f64 (.f64 y 1/2))) (-.f64 (sqrt.f64 (.f64 x 3/2)) (sqrt.f64 (*.f64 y 1/2))))
(.f64 (/.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4)) (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8))) (+.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y 1/2) (-.f64 (.f64 y 1/2) (.f64 x 3/2)))))
(.f64 (/.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4)) (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4))) (+.f64 (.f64 x 3/2) (*.f64 -1/2 y)))
(pow.f64 (pow.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))) 3)
(pow.f64 (sqrt.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))) 2)
(pow.f64 (/.f64 1 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))) -1)
(pow.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) 1)
(neg.f64 (/.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4)) (neg.f64 (fma.f64 x 3/2 (.f64 y 1/2)))))
(sqrt.f64 (pow.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) 2))
(log.f64 (exp.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 y) 1/2)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x 3/2))) (pow.f64 (exp.f64 y) 1/2)))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) 3/2) (+.f64 1 (expm1.f64 (*.f64 y 1/2)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 x 3/2))) (+.f64 1 (expm1.f64 (.f64 y 1/2)))))
(cbrt.f64 (pow.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4)) 3) (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 3)))
(expm1.f64 (log1p.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))))
(log1p.f64 (expm1.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))))
(exp.f64 (log.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 x 3/2) (*.f64 -1/2 y))) 1))
(fma.f64 9/4 (/.f64 (.f64 x x) (fma.f64 x 3/2 (.f64 y 1/2))) (neg.f64 (.f64 1/4 (/.f64 (.f64 y y) (fma.f64 x 3/2 (*.f64 y 1/2))))))
(fma.f64 x 3/2 (neg.f64 (*.f64 y 1/2)))
(fma.f64 (.f64 9/4 (.f64 x x)) (/.f64 1 (fma.f64 x 3/2 (.f64 y 1/2))) (neg.f64 (.f64 1/4 (/.f64 (.f64 y y) (fma.f64 x 3/2 (.f64 y 1/2))))))
(fma.f64 3/2 x (neg.f64 (*.f64 y 1/2)))
(fma.f64 (.f64 x 3/2) 1 (neg.f64 (.f64 y 1/2)))
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(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (.f64 (cbrt.f64 (.f64 x 3/2)) (.f64 x 3/2)) (.f64 (.f64 y y) -1/4))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (.f64 (cbrt.f64 (.f64 x 3/2)) (.f64 x 3/2)) (neg.f64 (-.f64 (.f64 y (.f64 y 1/4)) (fma.f64 -1/4 (.f64 y y) (.f64 y (*.f64 y 1/4))))))
(fma.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (.f64 (.f64 y y) -1/4))
(fma.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (neg.f64 (-.f64 (.f64 y (.f64 y 1/4)) (fma.f64 -1/4 (.f64 y y) (.f64 y (*.f64 y 1/4))))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4))) 2) (cbrt.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4))) (fma.f64 -1/4 (.f64 y y) (.f64 y (*.f64 y 1/4))))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 9/4) (.f64 (*.f64 y y) -1/4))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 9/4) (neg.f64 (-.f64 (.f64 y (.f64 y 1/4)) (fma.f64 -1/4 (.f64 y y) (.f64 y (.f64 y 1/4))))))
(fma.f64 (sqrt.f64 (.f64 x 3/2)) (.f64 (sqrt.f64 (.f64 x 3/2)) (.f64 x 3/2)) (.f64 (.f64 y y) -1/4))
(fma.f64 (sqrt.f64 (.f64 x 3/2)) (.f64 (sqrt.f64 (.f64 x 3/2)) (.f64 x 3/2)) (neg.f64 (-.f64 (.f64 y (.f64 y 1/4)) (fma.f64 -1/4 (.f64 y y) (.f64 y (*.f64 y 1/4))))))
(fma.f64 (hypot.f64 (.f64 x 3/2) (sqrt.f64 (.f64 (.f64 y y) -1/4))) (hypot.f64 (.f64 x 3/2) (sqrt.f64 (.f64 (.f64 y y) -1/4))) (fma.f64 -1/4 (.f64 y y) (.f64 y (*.f64 y 1/4))))
(fma.f64 (.f64 9/4 x) x (.f64 (*.f64 y y) -1/4))
(fma.f64 (.f64 9/4 x) x (neg.f64 (-.f64 (.f64 y (.f64 y 1/4)) (fma.f64 -1/4 (.f64 y y) (.f64 y (.f64 y 1/4))))))
(fma.f64 (.f64 (.f64 x 3/2) (sqrt.f64 (.f64 x 3/2))) (sqrt.f64 (.f64 x 3/2)) (.f64 (.f64 y y) -1/4))
(fma.f64 (.f64 (.f64 x 3/2) (sqrt.f64 (.f64 x 3/2))) (sqrt.f64 (.f64 x 3/2)) (neg.f64 (-.f64 (.f64 y (.f64 y 1/4)) (fma.f64 -1/4 (.f64 y y) (.f64 y (*.f64 y 1/4))))))
(fma.f64 (.f64 9/4 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 (*.f64 y y) -1/4))
(fma.f64 (.f64 9/4 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (.f64 y (.f64 y 1/4)) (fma.f64 -1/4 (.f64 y y) (.f64 y (.f64 y 1/4))))))
(fma.f64 (.f64 (.f64 9/4 x) 1) x (.f64 (.f64 y y) -1/4))
(fma.f64 (.f64 (.f64 9/4 x) 1) x (neg.f64 (-.f64 (.f64 y (.f64 y 1/4)) (fma.f64 -1/4 (.f64 y y) (.f64 y (*.f64 y 1/4))))))
(fma.f64 (.f64 (.f64 9/4 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (.f64 y y) -1/4))
(fma.f64 (.f64 (.f64 9/4 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 y (.f64 y 1/4)) (fma.f64 -1/4 (.f64 y y) (.f64 y (*.f64 y 1/4))))))
(fma.f64 (.f64 (.f64 9/4 x) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 y y) -1/4))
(fma.f64 (.f64 (.f64 9/4 x) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 y (.f64 y 1/4)) (fma.f64 -1/4 (.f64 y y) (.f64 y (*.f64 y 1/4))))))
(fma.f64 (.f64 (.f64 x 3/2) x) 3/2 (.f64 (.f64 y y) -1/4))
(fma.f64 (.f64 (.f64 x 3/2) x) 3/2 (neg.f64 (-.f64 (.f64 y (.f64 y 1/4)) (fma.f64 -1/4 (.f64 y y) (.f64 y (*.f64 y 1/4))))))
(fma.f64 (.f64 (.f64 x 3/2) 3/2) x (.f64 (.f64 y y) -1/4))
(fma.f64 (.f64 (.f64 x 3/2) 3/2) x (neg.f64 (-.f64 (.f64 y (.f64 y 1/4)) (fma.f64 -1/4 (.f64 y y) (.f64 y (*.f64 y 1/4))))))
(fma.f64 (.f64 (.f64 x 3/2) (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2)) (cbrt.f64 (.f64 x 3/2)) (.f64 (.f64 y y) -1/4))
(fma.f64 (.f64 (.f64 x 3/2) (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2)) (cbrt.f64 (.f64 x 3/2)) (neg.f64 (-.f64 (.f64 y (.f64 y 1/4)) (fma.f64 -1/4 (.f64 y y) (.f64 y (*.f64 y 1/4))))))
(+.f64 0 (.f64 9/4 (.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/4)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/4)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/4))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/4))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 9/4 (.f64 x x)))) 1)
(pow.f64 (.f64 9/4 (.f64 x x)) 1)
(pow.f64 (*.f64 x 3/2) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2) 3)
(pow.f64 (.f64 729/64 (pow.f64 (.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 81/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 9/4 (.f64 x x)))))
(cbrt.f64 (.f64 729/64 (pow.f64 (.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 9/4 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 9/4 (.f64 x x))))
(exp.f64 (.f64 2 (log.f64 (.f64 x 3/2))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x 3/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 3/2 (*.f64 y 1/2)))) 1)
(-.f64 (/.f64 (.f64 9/4 (.f64 x x)) (+.f64 (.f64 x 3/2) (.f64 -1/2 y))) (/.f64 (.f64 y (.f64 y 1/4)) (+.f64 (.f64 x 3/2) (.f64 -1/2 y))))
(.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4)) (/.f64 1 (+.f64 (.f64 x 3/2) (.f64 -1/2 y))))
(.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 1)
(.f64 1 (fma.f64 x 3/2 (.f64 y 1/2)))
(.f64 (cbrt.f64 (fma.f64 x 3/2 (.f64 y 1/2))) (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (.f64 y 1/2))) 2) (cbrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2))) (sqrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8)) (/.f64 1 (+.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y 1/2) (-.f64 (.f64 y 1/2) (*.f64 x 3/2))))))
(/.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4)) (+.f64 (.f64 x 3/2) (*.f64 -1/2 y)))
(/.f64 1 (/.f64 (+.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y 1/2) (-.f64 (.f64 y 1/2) (.f64 x 3/2)))) (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8))))
(/.f64 1 (/.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) (fma.f64 9/4 (.f64 x x) (.f64 (*.f64 y y) -1/4))))
(/.f64 (neg.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4))) (neg.f64 (+.f64 (.f64 x 3/2) (*.f64 -1/2 y))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8)) (+.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y 1/2) (-.f64 (.f64 y 1/2) (.f64 x 3/2)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8)) (+.f64 (.f64 y (.f64 y 1/4)) (-.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 x 3/2) (*.f64 y 1/2)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8))) (neg.f64 (+.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y 1/2) (-.f64 (.f64 y 1/2) (.f64 x 3/2))))))
(/.f64 (-.f64 (.f64 y (.f64 y 1/4)) (.f64 9/4 (.f64 x x))) (-.f64 (.f64 y 1/2) (.f64 x 3/2)))
(pow.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 2))
(log.f64 (exp.f64 (fma.f64 x 3/2 (*.f64 y 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3/2 (*.f64 y 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 3/2))) (pow.f64 (exp.f64 y) 1/2)))
(log.f64 (.f64 (pow.f64 (exp.f64 x) 3/2) (+.f64 1 (expm1.f64 (.f64 y 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 3/2))) (+.f64 1 (expm1.f64 (*.f64 y 1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y 1/2))) (pow.f64 (exp.f64 x) 3/2)))
(log.f64 (.f64 (pow.f64 (exp.f64 y) 1/2) (+.f64 1 (expm1.f64 (.f64 x 3/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y 1/2))) (+.f64 1 (expm1.f64 (*.f64 x 3/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 3/2 (*.f64 y 1/2))))
(log1p.f64 (expm1.f64 (fma.f64 x 3/2 (*.f64 y 1/2))))
(exp.f64 (log.f64 (fma.f64 x 3/2 (*.f64 y 1/2))))
(exp.f64 (.f64 (log.f64 (fma.f64 x 3/2 (.f64 y 1/2))) 1))
(fma.f64 x 3/2 (*.f64 y 1/2))
(fma.f64 y 1/2 (*.f64 x 3/2))
(fma.f64 3/2 x (*.f64 y 1/2))
(fma.f64 1/2 y (*.f64 x 3/2))
(fma.f64 1 (.f64 x 3/2) (.f64 y 1/2))
(fma.f64 1 (.f64 y 1/2) (.f64 x 3/2))
(fma.f64 (cbrt.f64 (.f64 y (.f64 y 1/4))) (cbrt.f64 (.f64 y 1/2)) (.f64 x 3/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (cbrt.f64 (.f64 x 3/2)) (*.f64 y 1/2))
(fma.f64 (sqrt.f64 (.f64 x 3/2)) (sqrt.f64 (.f64 x 3/2)) (*.f64 y 1/2))
(fma.f64 (sqrt.f64 (.f64 y 1/2)) (sqrt.f64 (.f64 y 1/2)) (*.f64 x 3/2))

Outputs
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 -1/2 y))
(*.f64 -1/4 (pow.f64 y 2))
(.f64 y (.f64 y -1/4))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(*.f64 9/4 (pow.f64 x 2))
(.f64 9/4 (.f64 x x))
(.f64 x (.f64 x 9/4))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(*.f64 9/4 (pow.f64 x 2))
(.f64 9/4 (.f64 x x))
(.f64 x (.f64 x 9/4))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(*.f64 9/4 (pow.f64 x 2))
(.f64 9/4 (.f64 x x))
(.f64 x (.f64 x 9/4))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(*.f64 -1/4 (pow.f64 y 2))
(.f64 y (.f64 y -1/4))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(*.f64 -1/4 (pow.f64 y 2))
(.f64 y (.f64 y -1/4))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
(fma.f64 y (.f64 y -1/4) (.f64 x (*.f64 x 9/4)))
(+.f64 (.f64 -1/4 (pow.f64 y 2)) (.f64 9/4 (pow.f64 x 2)))
(fma.f64 -1/4 (.f64 y y) (.f64 9/4 (*.f64 x x)))
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(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) 1/8)) (fma.f64 (.f64 y 1/2) (fma.f64 y 1/2 (.f64 x -3/2)) (.f64 x (*.f64 x 9/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) 1/8)) (fma.f64 y (.f64 1/2 (fma.f64 x -3/2 (.f64 y 1/2))) (.f64 x (*.f64 x 9/4))))
(/.f64 1 (/.f64 (+.f64 (.f64 x 3/2) (.f64 -1/2 y)) (fma.f64 9/4 (.f64 x x) (.f64 (*.f64 y y) -1/4))))
(/.f64 (fma.f64 -1/4 (.f64 y y) (.f64 9/4 (.f64 x x))) (fma.f64 -1/2 y (.f64 3/2 x)))
(/.f64 (fma.f64 y (.f64 y -1/4) (.f64 x (.f64 x 9/4))) (fma.f64 3/2 x (.f64 -1/2 y)))
(/.f64 (fma.f64 (.f64 x x) -9/4 (.f64 1/4 (.f64 y y))) (fma.f64 x -3/2 (.f64 y 1/2)))
(/.f64 (neg.f64 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4))) (neg.f64 (+.f64 (.f64 x 3/2) (*.f64 -1/2 y))))
(/.f64 (fma.f64 -1/4 (.f64 y y) (.f64 9/4 (.f64 x x))) (fma.f64 -1/2 y (.f64 3/2 x)))
(/.f64 (fma.f64 y (.f64 y -1/4) (.f64 x (.f64 x 9/4))) (fma.f64 3/2 x (.f64 -1/2 y)))
(/.f64 (fma.f64 (.f64 x x) -9/4 (.f64 1/4 (.f64 y y))) (fma.f64 x -3/2 (.f64 y 1/2)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8)) (+.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y 1/2) (-.f64 (.f64 y 1/2) (.f64 x 3/2)))))
(.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) 1/8)) (/.f64 1 (fma.f64 9/4 (.f64 x x) (.f64 y (.f64 1/2 (-.f64 (.f64 y 1/2) (*.f64 3/2 x)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) 1/8)) (fma.f64 (.f64 y 1/2) (fma.f64 y 1/2 (.f64 x -3/2)) (.f64 x (*.f64 x 9/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) 1/8)) (fma.f64 y (.f64 1/2 (fma.f64 x -3/2 (.f64 y 1/2))) (.f64 x (*.f64 x 9/4))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8)) (+.f64 (.f64 y (.f64 y 1/4)) (-.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 x 3/2) (*.f64 y 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) 1/8)) (fma.f64 y (.f64 y 1/4) (-.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 3/2 x) (*.f64 y 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) 1/8)) (-.f64 (fma.f64 y (.f64 y 1/4) (.f64 x (.f64 x 9/4))) (.f64 x (.f64 3/4 y))))
(/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) 1/8)) (-.f64 (.f64 x (.f64 x 9/4)) (fma.f64 x (.f64 3/4 y) (.f64 y (.f64 y -1/4)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 27/8) (.f64 (pow.f64 y 3) 1/8))) (neg.f64 (+.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y 1/2) (-.f64 (.f64 y 1/2) (.f64 x 3/2))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) 1/8))) (neg.f64 (fma.f64 9/4 (.f64 x x) (.f64 y (.f64 1/2 (-.f64 (.f64 y 1/2) (.f64 3/2 x)))))))
(.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) 1/8)) (fma.f64 (.f64 y 1/2) (fma.f64 y 1/2 (.f64 x -3/2)) (.f64 x (.f64 x 9/4)))))
(/.f64 (fma.f64 (pow.f64 x 3) -27/8 (.f64 (pow.f64 y 3) -1/8)) (fma.f64 (.f64 -1/2 y) (fma.f64 x -3/2 (.f64 y 1/2)) (.f64 (*.f64 x x) -9/4)))
(/.f64 (-.f64 (.f64 y (.f64 y 1/4)) (.f64 9/4 (.f64 x x))) (-.f64 (.f64 y 1/2) (.f64 x 3/2)))
(/.f64 (fma.f64 -1/4 (.f64 y y) (.f64 9/4 (.f64 x x))) (fma.f64 -1/2 y (.f64 3/2 x)))
(/.f64 (fma.f64 y (.f64 y -1/4) (.f64 x (.f64 x 9/4))) (fma.f64 3/2 x (.f64 -1/2 y)))
(/.f64 (fma.f64 (.f64 x x) -9/4 (.f64 1/4 (.f64 y y))) (fma.f64 x -3/2 (.f64 y 1/2)))
(pow.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 1)
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(pow.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 3) 1/3)
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(pow.f64 (cbrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))) 3)
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(pow.f64 (sqrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))) 2)
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(sqrt.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 2))
(sqrt.f64 (pow.f64 (fma.f64 y 1/2 (*.f64 3/2 x)) 2))
(fabs.f64 (fma.f64 3/2 x (*.f64 y 1/2)))
(log.f64 (exp.f64 (fma.f64 x 3/2 (*.f64 y 1/2))))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3/2 (*.f64 y 1/2)))))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 3/2))) (pow.f64 (exp.f64 y) 1/2)))
(log.f64 (.f64 (sqrt.f64 (exp.f64 y)) (+.f64 1 (expm1.f64 (.f64 3/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log1p.f64 (expm1.f64 (*.f64 3/2 x))))
(+.f64 (*.f64 3/2 x) (log.f64 (sqrt.f64 (exp.f64 y))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) 3/2) (+.f64 1 (expm1.f64 (.f64 y 1/2)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 3/2)) (log1p.f64 (expm1.f64 (*.f64 y 1/2))))
(+.f64 (.f64 y 1/2) (.f64 x (log.f64 (exp.f64 3/2))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 3/2))) (+.f64 1 (expm1.f64 (*.f64 y 1/2)))))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y 1/2))) (pow.f64 (exp.f64 x) 3/2)))
(log.f64 (.f64 (pow.f64 (exp.f64 x) 3/2) (+.f64 1 (expm1.f64 (.f64 y 1/2)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 3/2)) (log1p.f64 (expm1.f64 (*.f64 y 1/2))))
(+.f64 (.f64 y 1/2) (.f64 x (log.f64 (exp.f64 3/2))))
(log.f64 (.f64 (pow.f64 (exp.f64 y) 1/2) (+.f64 1 (expm1.f64 (.f64 x 3/2)))))
(log.f64 (.f64 (sqrt.f64 (exp.f64 y)) (+.f64 1 (expm1.f64 (.f64 3/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log1p.f64 (expm1.f64 (*.f64 3/2 x))))
(+.f64 (*.f64 3/2 x) (log.f64 (sqrt.f64 (exp.f64 y))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y 1/2))) (+.f64 1 (expm1.f64 (*.f64 x 3/2)))))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(cbrt.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 3))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(expm1.f64 (log1p.f64 (fma.f64 x 3/2 (*.f64 y 1/2))))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(log1p.f64 (expm1.f64 (fma.f64 x 3/2 (*.f64 y 1/2))))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(exp.f64 (log.f64 (fma.f64 x 3/2 (*.f64 y 1/2))))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(exp.f64 (.f64 (log.f64 (fma.f64 x 3/2 (.f64 y 1/2))) 1))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(fma.f64 x 3/2 (*.f64 y 1/2))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(fma.f64 y 1/2 (*.f64 x 3/2))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(fma.f64 3/2 x (*.f64 y 1/2))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 1/2 y (*.f64 x 3/2))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(fma.f64 1 (.f64 x 3/2) (.f64 y 1/2))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(fma.f64 1 (.f64 y 1/2) (.f64 x 3/2))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(fma.f64 (cbrt.f64 (.f64 y (.f64 y 1/4))) (cbrt.f64 (.f64 y 1/2)) (.f64 x 3/2))
(fma.f64 (cbrt.f64 (.f64 (.f64 y y) 1/4)) (cbrt.f64 (.f64 y 1/2)) (.f64 3/2 x))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 y y))) (cbrt.f64 (.f64 y 1/2)) (.f64 3/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (cbrt.f64 (.f64 x 3/2)) (*.f64 y 1/2))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(fma.f64 (sqrt.f64 (.f64 x 3/2)) (sqrt.f64 (.f64 x 3/2)) (*.f64 y 1/2))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))
(fma.f64 (sqrt.f64 (.f64 y 1/2)) (sqrt.f64 (.f64 y 1/2)) (*.f64 x 3/2))
(fma.f64 y 1/2 (*.f64 3/2 x))
(fma.f64 3/2 x (*.f64 y 1/2))

eval219.0ms (6.1%)

Compiler: Compiled 10472 to 6846 computations (34.6% saved)

prune98.0ms (2.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	403	2	405
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	404	7	411

Error

Counts

411 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 3/2 x (*.f64 -1/2 y))
▶	46.0b	(/.f64 (.f64 x (.f64 x 9/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
▶	46.0b	(/.f64 (.f64 9/4 (.f64 x x)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
✓	0.1b	(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
✓	0.1b	(+.f64 x (/.f64 (-.f64 x y) 2))
✓	31.4b	(*.f64 3/2 x)
✓	31.5b	(*.f64 -1/2 y)

Compiler

Compiled 68 to 50 computations (26.5% saved)

localize18.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 3/2 x) (.f64 1/2 y))
	0.1b	(.f64 9/4 (.f64 x x))
✓	17.5b	(/.f64 (.f64 9/4 (.f64 x x)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))

Compiler

Compiled 41 to 25 computations (39% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 9/4 (.f64 x x)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
1.0ms	y	@	inf	(/.f64 (.f64 9/4 (.f64 x x)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
1.0ms	y	@	-inf	(/.f64 (.f64 9/4 (.f64 x x)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
0.0ms	x	@	inf	(/.f64 (.f64 9/4 (.f64 x x)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
0.0ms	y	@	0	(/.f64 (.f64 9/4 (.f64 x x)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))

rewrite54.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`log-prod_binary64`
404×	`fma-def_binary64`
371×	`pow-prod-down_binary64`
315×	`pow2_binary64`
242×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	261	17
2	3514	17

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

Inputs
(/.f64 (.f64 9/4 (.f64 x x)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9/4 (/.f64 (*.f64 x x) (fma.f64 x 3/2 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9/4 (/.f64 1 (*.f64 (fma.f64 x 3/2 (*.f64 1/2 y)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9/4 (*.f64 (*.f64 x x) (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 9/4 (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9/4 (*.f64 x x)) (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3/2) (*.f64 (*.f64 x 3/2) (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 4) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2) (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))) 4)) (cbrt.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))) (/.f64 (*.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -9/4) (/.f64 1 (neg.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 9/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9/4 x) (*.f64 x (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2) (fma.f64 x 3/2 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3/2) 1) (/.f64 (*.f64 x 3/2) (fma.f64 x 3/2 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 9/4 x) 1) (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 9/4 (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 1/2 y)) 2))) (/.f64 (*.f64 x x) (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 1/2 y)) 2))) (/.f64 9/4 (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y))) -2) (/.f64 (*.f64 9/4 (*.f64 x x)) (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 4) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 1/2 y)) 2))) (cbrt.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3/2) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 1/2 y)) 2))) (/.f64 (*.f64 x 3/2) (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 9/4 x) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 1/2 y)) 2))) (/.f64 x (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 9/4 (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))) (/.f64 9/4 (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 1/2 y)) -1/2) (/.f64 (*.f64 9/4 (*.f64 x x)) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 4) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 9/4 x) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))) (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 9/4 (*.f64 x x)) (fma.f64 1/8 (pow.f64 y 3) (*.f64 27/8 (pow.f64 x 3)))) (fma.f64 (*.f64 1/2 y) (-.f64 (*.f64 1/2 y) (*.f64 x 3/2)) (*.f64 9/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 9/4 (*.f64 x x)) (-.f64 (*.f64 9/4 (*.f64 x x)) (*.f64 1/4 (*.f64 y y)))) (fma.f64 x 3/2 (*.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 3/2 (*.f64 1/2 y)) (pow.f64 (*.f64 x 3/2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x 3/2) 6) (pow.f64 (fma.f64 x 3/2 (*.f64 1/2 y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x 3/2 (*.f64 1/2 y)) (pow.f64 (*.f64 x 3/2) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 9/4 (*.f64 x x)) (neg.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x 3/2) 6) (pow.f64 (fma.f64 x 3/2 (*.f64 1/2 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x x))) 1))))))

simplify71.0ms (2%)

Algorithm

1×	egg-herbie

Rules

595×	`times-frac_binary64`
478×	`associate-*l/_binary64`
410×	`associate-/r*_binary64`
399×	`log-prod_binary64`
383×	`associate-*r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	202	1749
1	551	1720
2	1811	1720
3	6743	1720

Stop Event

1×	node limit

Counts

79 → 109

Calls

Call 1

Inputs
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 x) (.f64 -1/18 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 x) (.f64 -1/18 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 x) (.f64 -1/18 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))))
(+.f64 0 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x)))) 1)
(.f64 9/4 (/.f64 (.f64 x x) (fma.f64 x 3/2 (*.f64 1/2 y))))
(.f64 9/4 (/.f64 1 (.f64 (fma.f64 x 3/2 (*.f64 1/2 y)) (pow.f64 x -2))))
(.f64 9/4 (.f64 (.f64 x x) (/.f64 1 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (.f64 x x) (.f64 9/4 (/.f64 1 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (.f64 9/4 (.f64 x x)) (/.f64 1 (fma.f64 x 3/2 (.f64 1/2 y))))
(.f64 (.f64 x 3/2) (.f64 (.f64 x 3/2) (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x x)) 1)
(.f64 1 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 4) (.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 (cbrt.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 4)) (cbrt.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x x))))
(.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 (.f64 (.f64 x x) -9/4) (/.f64 1 (neg.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (/.f64 1 (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 9/4 (.f64 x x)))
(.f64 (.f64 9/4 x) (.f64 x (/.f64 1 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))))
(.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (fma.f64 x 3/2 (.f64 1/2 y))))
(.f64 (/.f64 (.f64 x 3/2) 1) (/.f64 (.f64 x 3/2) (fma.f64 x 3/2 (.f64 1/2 y))))
(.f64 (/.f64 (.f64 9/4 x) 1) (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))))
(.f64 (/.f64 9/4 (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 2))) (/.f64 (.f64 x x) (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (/.f64 (.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 2))) (/.f64 9/4 (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y))) -2) (/.f64 (.f64 9/4 (.f64 x x)) (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 4) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 2))) (cbrt.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x x))))
(.f64 (/.f64 (.f64 x 3/2) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 2))) (/.f64 (.f64 x 3/2) (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 (/.f64 (.f64 9/4 x) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 2))) (/.f64 x (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (/.f64 9/4 (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) (/.f64 9/4 (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) -1/2) (/.f64 (.f64 9/4 (.f64 x x)) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 4) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 (/.f64 (.f64 9/4 x) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (/.f64 (.f64 9/4 (.f64 x x)) (fma.f64 1/8 (pow.f64 y 3) (.f64 27/8 (pow.f64 x 3)))) (fma.f64 (.f64 1/2 y) (-.f64 (.f64 1/2 y) (.f64 x 3/2)) (.f64 9/4 (*.f64 x x))))
(.f64 (/.f64 (.f64 9/4 (.f64 x x)) (-.f64 (.f64 9/4 (.f64 x x)) (.f64 1/4 (.f64 y y)))) (fma.f64 x 3/2 (.f64 -1/2 y)))
(pow.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x)) 1)
(pow.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x))) 3)
(pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 2)
(pow.f64 (.f64 (fma.f64 x 3/2 (.f64 1/2 y)) (pow.f64 (*.f64 x 3/2) -2)) -1)
(pow.f64 (/.f64 (pow.f64 (.f64 x 3/2) 6) (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 3)) 1/3)
(pow.f64 (/.f64 (.f64 (fma.f64 x 3/2 (.f64 1/2 y)) (pow.f64 (*.f64 x 3/2) -2)) 1) -1)
(neg.f64 (/.f64 (.f64 9/4 (.f64 x x)) (neg.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 4))
(log.f64 (exp.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 6))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x 3/2) 6) (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x))))
(exp.f64 (log.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x x))) 1))

Outputs
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(.f64 9/2 (/.f64 (.f64 x x) y))
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(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (fma.f64 x 3/2 (.f64 1/2 y))))
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 (/.f64 (.f64 x 3/2) 1) (/.f64 (.f64 x 3/2) (fma.f64 x 3/2 (.f64 1/2 y))))
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 (/.f64 (.f64 9/4 x) 1) (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))))
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 (/.f64 9/4 (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 2))) (/.f64 (.f64 x x) (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (/.f64 9/4 (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 2))) (/.f64 x (/.f64 (cbrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))) x)))
(.f64 (/.f64 (.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 2))) (/.f64 9/4 (cbrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))))
(.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 2)) x)) (/.f64 9/4 (cbrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2)))))
(.f64 (/.f64 (.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 2))) (/.f64 9/4 (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (/.f64 9/4 (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 2))) (/.f64 x (/.f64 (cbrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))) x)))
(.f64 (/.f64 (.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 2))) (/.f64 9/4 (cbrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))))
(.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 2)) x)) (/.f64 9/4 (cbrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y))) -2) (/.f64 (.f64 9/4 (.f64 x x)) (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (.f64 y 1/2))) -2) (/.f64 9/4 (/.f64 (cbrt.f64 (fma.f64 x 3/2 (.f64 y 1/2))) (.f64 x x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 4) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 2))) (cbrt.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x x))))
(.f64 (cbrt.f64 (.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 4) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 2))))
(.f64 (cbrt.f64 (.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (.f64 y 1/2))))) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 4) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 2))))
(.f64 (/.f64 (.f64 x 3/2) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 2))) (/.f64 (.f64 x 3/2) (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 (/.f64 9/4 (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 2))) (/.f64 x (/.f64 (cbrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))) x)))
(.f64 (/.f64 (.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 2))) (/.f64 9/4 (cbrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))))
(.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 2)) x)) (/.f64 9/4 (cbrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2)))))
(.f64 (/.f64 (.f64 9/4 x) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 2))) (/.f64 x (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (/.f64 9/4 (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 2))) (/.f64 x (/.f64 (cbrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))) x)))
(.f64 (/.f64 (.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 2))) (/.f64 9/4 (cbrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))))
(.f64 (/.f64 x (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 2)) x)) (/.f64 9/4 (cbrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2)))))
(.f64 (/.f64 9/4 (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) (/.f64 9/4 (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) -1/2) (/.f64 (.f64 9/4 (.f64 x x)) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(/.f64 (.f64 (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) -1/2) (.f64 9/4 (.f64 x x))) (sqrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) -1/2) (.f64 (.f64 x x) (/.f64 9/4 (sqrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 4) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 (/.f64 (.f64 9/4 x) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 (/.f64 (.f64 9/4 (.f64 x x)) (fma.f64 1/8 (pow.f64 y 3) (.f64 27/8 (pow.f64 x 3)))) (fma.f64 (.f64 1/2 y) (-.f64 (.f64 1/2 y) (.f64 x 3/2)) (.f64 9/4 (*.f64 x x))))
(.f64 (/.f64 (.f64 9/4 (.f64 x x)) (fma.f64 1/8 (pow.f64 y 3) (.f64 (pow.f64 x 3) 27/8))) (fma.f64 (.f64 y 1/2) (-.f64 (.f64 y 1/2) (.f64 x 3/2)) (.f64 9/4 (*.f64 x x))))
(/.f64 (.f64 x (.f64 x 9/4)) (/.f64 (fma.f64 1/8 (pow.f64 y 3) (.f64 (pow.f64 x 3) 27/8)) (fma.f64 (.f64 y 1/2) (fma.f64 y 1/2 (.f64 x -3/2)) (.f64 x (*.f64 x 9/4)))))
(/.f64 (.f64 x (.f64 x 9/4)) (/.f64 (fma.f64 (pow.f64 x 3) 27/8 (.f64 (pow.f64 y 3) 1/8)) (fma.f64 x (.f64 x 9/4) (.f64 (.f64 y 1/2) (fma.f64 x -3/2 (*.f64 y 1/2))))))
(.f64 (/.f64 (.f64 9/4 (.f64 x x)) (-.f64 (.f64 9/4 (.f64 x x)) (.f64 1/4 (.f64 y y)))) (fma.f64 x 3/2 (.f64 -1/2 y)))
(.f64 (/.f64 (.f64 9/4 (.f64 x x)) (+.f64 (.f64 9/4 (.f64 x x)) (.f64 -1/4 (.f64 y y)))) (fma.f64 x 3/2 (.f64 y -1/2)))
(.f64 (.f64 (/.f64 9/4 (fma.f64 9/4 (.f64 x x) (.f64 (.f64 y y) -1/4))) (.f64 x x)) (fma.f64 y -1/2 (*.f64 x 3/2)))
(.f64 (.f64 (.f64 x x) (/.f64 9/4 (fma.f64 x (.f64 x 9/4) (.f64 y (.f64 y -1/4))))) (fma.f64 y -1/2 (*.f64 x 3/2)))
(pow.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x)) 1)
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(pow.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 4) 1/2)
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(pow.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 6) 1/3)
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))) 3/2)) 6))
(cbrt.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))) 3/2) 6))
(cbrt.f64 (pow.f64 (.f64 3/2 (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2))))) 6))
(pow.f64 (cbrt.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x))) 3)
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 2)
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(pow.f64 (.f64 (fma.f64 x 3/2 (.f64 1/2 y)) (pow.f64 (*.f64 x 3/2) -2)) -1)
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(pow.f64 (/.f64 (pow.f64 (.f64 x 3/2) 6) (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 3)) 1/3)
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))) 3/2)) 6))
(cbrt.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))) 3/2) 6))
(cbrt.f64 (pow.f64 (.f64 3/2 (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2))))) 6))
(pow.f64 (/.f64 (.f64 (fma.f64 x 3/2 (.f64 1/2 y)) (pow.f64 (*.f64 x 3/2) -2)) 1) -1)
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(neg.f64 (/.f64 (.f64 9/4 (.f64 x x)) (neg.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(sqrt.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 4))
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(log.f64 (exp.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x))))
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x)))))
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 6))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))) 3/2)) 6))
(cbrt.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))) 3/2) 6))
(cbrt.f64 (pow.f64 (.f64 3/2 (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2))))) 6))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x 3/2) 6) (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 3)))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x 3/2 (*.f64 y 1/2))) 3/2)) 6))
(cbrt.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))) 3/2) 6))
(cbrt.f64 (pow.f64 (.f64 3/2 (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2))))) 6))
(expm1.f64 (log1p.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x))))
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x))))
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(exp.f64 (log.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x x))))
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 9/4 (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x x))) 1))
(.f64 9/4 (/.f64 x (/.f64 (fma.f64 x 3/2 (.f64 y 1/2)) x)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))

localize17.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 3/2 x) (.f64 1/2 y))
✓	0.1b	(.f64 x (.f64 x 9/4))
✓	17.5b	(/.f64 (.f64 x (.f64 x 9/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))

Compiler

Compiled 41 to 28 computations (31.7% saved)

series2.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (.f64 x (.f64 x 9/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
0.0ms	y	@	-inf	(/.f64 (.f64 x (.f64 x 9/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
0.0ms	x	@	-inf	(/.f64 (.f64 x (.f64 x 9/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
0.0ms	x	@	inf	(/.f64 (.f64 x (.f64 x 9/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
0.0ms	y	@	inf	(/.f64 (.f64 x (.f64 x 9/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))

rewrite59.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

655×	`log-prod_binary64`
408×	`fma-def_binary64`
318×	`pow2_binary64`
248×	`fma-neg_binary64`
226×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	260	24
2	3521	24

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(/.f64 (.f64 x (.f64 x 9/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
(.f64 x (.f64 x 9/4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x 9/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x 9/4)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x 9/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x 9/4))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x 9/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x 9/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (fma.f64 x 3/2 (*.f64 1/2 y)) (*.f64 x 9/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 9/4) (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 9/4) (*.f64 x (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 9/4)) (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3/2) (*.f64 (*.f64 x 3/2) (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x 9/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x 9/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 9/4 (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 4) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2) (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x 9/4))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3/2) (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2) (fma.f64 x 3/2 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3/2) 1) (/.f64 (*.f64 x 3/2) (fma.f64 x 3/2 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y))) 2)) (/.f64 (*.f64 x 9/4) (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 9/4) (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y))) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y))) -2) (/.f64 (*.f64 x (*.f64 x 9/4)) (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 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3/2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x 9/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x 9/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x 3/2) 6) (pow.f64 (fma.f64 x 3/2 (*.f64 1/2 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x 9/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x 9/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x 9/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))) (*.f64 x 9/4))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 9/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/4) (*.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/4) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/4) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/4) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 9/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3/2) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3/2) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 3/2)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 3/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 3/2) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x 9/4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x 9/4) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 3/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 9/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 3/2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x 9/4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 9/4) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 9/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 9/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x 3/2))) 1))))))

simplify81.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

613×	`fma-def_binary64`
483×	`associate-/r*_binary64`
409×	`associate-/l/_binary64`
384×	`*-commutative_binary64`
355×	`associate-/r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	247	2064
1	664	2020
2	2318	2020
3	7417	2020

Stop Event

1×	node limit

Counts

115 → 145

Calls

Call 1

Inputs
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 x) (.f64 -1/18 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 x) (.f64 -1/18 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 x) (.f64 -1/18 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(*.f64 9/4 (pow.f64 x 2))
(+.f64 0 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x 9/4)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x 9/4)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x 9/4))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x 9/4))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x 9/4))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x 9/4)))) 1)
(.f64 x (/.f64 1 (/.f64 (fma.f64 x 3/2 (.f64 1/2 y)) (*.f64 x 9/4))))
(.f64 x (.f64 (.f64 x 9/4) (/.f64 1 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (.f64 x 9/4) (.f64 x (/.f64 1 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (.f64 x (.f64 x 9/4)) (/.f64 1 (fma.f64 x 3/2 (.f64 1/2 y))))
(.f64 (.f64 x 3/2) (.f64 (.f64 x 3/2) (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x 9/4)) 1)
(.f64 1 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x 9/4)))
(.f64 (.f64 x x) (.f64 9/4 (/.f64 1 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 4) (.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (/.f64 1 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 (cbrt.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x 9/4))) (cbrt.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 4)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 4)) (cbrt.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x 9/4))))
(.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 (.f64 (.f64 x x) -9/4) (/.f64 1 (neg.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (/.f64 1 (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x (.f64 x 9/4)))
(.f64 (/.f64 x 1) (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 1/2 y))))
(.f64 (/.f64 (.f64 x 9/4) 1) (/.f64 x (fma.f64 x 3/2 (*.f64 1/2 y))))
(.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x 9/4))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 9/4 (fma.f64 x 3/2 (*.f64 1/2 y))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (fma.f64 x 3/2 (.f64 1/2 y))))
(.f64 (/.f64 (.f64 x 3/2) 1) (/.f64 (.f64 x 3/2) (fma.f64 x 3/2 (.f64 1/2 y))))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y))) 2)) (/.f64 (.f64 x 9/4) (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (/.f64 (.f64 x 9/4) (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y))) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y))) -2) (/.f64 (.f64 x (.f64 x 9/4)) (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y))) 2)) (/.f64 9/4 (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 4) (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y))) 2)) (cbrt.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x 9/4))))
(.f64 (/.f64 (.f64 x 3/2) (pow.f64 (cbrt.f64 (fma.f64 x 3/2 (.f64 1/2 y))) 2)) (/.f64 (.f64 x 3/2) (cbrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) (/.f64 (.f64 x 9/4) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (/.f64 (.f64 x 9/4) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) -1/2) (/.f64 (.f64 x (.f64 x 9/4)) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) (/.f64 9/4 (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 4) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) (/.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (sqrt.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 (/.f64 (.f64 x (.f64 x 9/4)) (fma.f64 1/8 (pow.f64 y 3) (pow.f64 (.f64 x 3/2) 3))) (fma.f64 x (.f64 x 9/4) (.f64 (.f64 1/2 y) (-.f64 (.f64 1/2 y) (*.f64 x 3/2)))))
(.f64 (/.f64 (.f64 x (.f64 x 9/4)) (-.f64 (.f64 x (.f64 x 9/4)) (.f64 1/4 (.f64 y y)))) (fma.f64 x 3/2 (.f64 -1/2 y)))
(pow.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x 9/4)) 1)
(pow.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x 9/4))) 3)
(pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 2)
(pow.f64 (.f64 (fma.f64 x 3/2 (.f64 1/2 y)) (pow.f64 (*.f64 x 3/2) -2)) -1)
(pow.f64 (/.f64 (pow.f64 (.f64 x 3/2) 6) (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 3)) 1/3)
(pow.f64 (/.f64 (.f64 (fma.f64 x 3/2 (.f64 1/2 y)) (pow.f64 (*.f64 x 3/2) -2)) 1) -1)
(neg.f64 (/.f64 (.f64 x (.f64 x 9/4)) (neg.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 4))
(log.f64 (exp.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x 9/4))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x 9/4)))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 6))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x 3/2) 6) (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x 9/4))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x 9/4))))
(exp.f64 (log.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x 9/4))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x 9/4))) 1))
(+.f64 0 (.f64 x (.f64 x 9/4)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/4) (.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/4) (.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/4) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/4) (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 9/4)))) 1)
(pow.f64 (.f64 x (.f64 x 9/4)) 1)
(pow.f64 (*.f64 x 3/2) 2)
(pow.f64 (pow.f64 (*.f64 x 3/2) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 x 3/2) 6) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2) 3)
(pow.f64 (cbrt.f64 (*.f64 x 3/2)) 6)
(pow.f64 (sqrt.f64 (*.f64 x 3/2)) 4)
(pow.f64 (pow.f64 (*.f64 x 3/2) 3) 2/3)
(pow.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x 9/4) 3)) 1/3)
(pow.f64 (.f64 (pow.f64 (.f64 x 9/4) 3) (pow.f64 x 3)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x 3/2) 4))
(log.f64 (pow.f64 (exp.f64 9/4) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 9/4)))))
(cbrt.f64 (pow.f64 (*.f64 x 3/2) 6))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x 9/4) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x 9/4) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 9/4))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 9/4))))
(exp.f64 (.f64 2 (log.f64 (.f64 x 3/2))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x 3/2))) 1))

Outputs
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(.f64 9/2 (/.f64 (.f64 x x) y))
(.f64 (/.f64 9/2 y) (.f64 x x))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 9/2 (/.f64 (*.f64 x x) y)))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 (/.f64 9/2 y) (*.f64 x x)))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 9/2 (/.f64 (*.f64 x x) y))))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 9/2 (.f64 (/.f64 x y) x) (/.f64 81/2 (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 9/2 (/.f64 (*.f64 x x) y)))))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 9/2 (.f64 (/.f64 x y) x) (/.f64 -243/2 (/.f64 (pow.f64 y 4) (pow.f64 x 5))))))
(*.f64 3/2 x)
(*.f64 x 3/2)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 x 3/2 (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 x 3/2))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))
(fma.f64 -1/2 y (fma.f64 1/6 (/.f64 (.f64 y y) x) (.f64 x 3/2)))
(fma.f64 y -1/2 (fma.f64 x 3/2 (/.f64 (.f64 (.f64 1/6 y) y) x)))
(fma.f64 y -1/2 (fma.f64 1/6 (.f64 (/.f64 y x) y) (.f64 x 3/2)))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 x) (.f64 -1/18 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(fma.f64 -1/2 y (fma.f64 1/6 (/.f64 (.f64 y y) x) (fma.f64 3/2 x (.f64 -1/18 (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(fma.f64 y -1/2 (fma.f64 1/6 (/.f64 y (/.f64 x y)) (fma.f64 -1/18 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 x 3/2))))
(fma.f64 y -1/2 (fma.f64 (/.f64 -1/18 x) (/.f64 (pow.f64 y 3) x) (fma.f64 1/6 (.f64 (/.f64 y x) y) (.f64 x 3/2))))
(*.f64 3/2 x)
(*.f64 x 3/2)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 x 3/2 (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 x 3/2))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))
(fma.f64 -1/2 y (fma.f64 1/6 (/.f64 (.f64 y y) x) (.f64 x 3/2)))
(fma.f64 y -1/2 (fma.f64 x 3/2 (/.f64 (.f64 (.f64 1/6 y) y) x)))
(fma.f64 y -1/2 (fma.f64 1/6 (.f64 (/.f64 y x) y) (.f64 x 3/2)))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 x) (.f64 -1/18 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(fma.f64 -1/2 y (fma.f64 1/6 (/.f64 (.f64 y y) x) (fma.f64 3/2 x (.f64 -1/18 (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(fma.f64 y -1/2 (fma.f64 1/6 (/.f64 y (/.f64 x y)) (fma.f64 -1/18 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 x 3/2))))
(fma.f64 y -1/2 (fma.f64 (/.f64 -1/18 x) (/.f64 (pow.f64 y 3) x) (fma.f64 1/6 (.f64 (/.f64 y x) y) (.f64 x 3/2))))
(*.f64 3/2 x)
(*.f64 x 3/2)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 x 3/2 (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 x 3/2))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 3/2 x)))
(fma.f64 -1/2 y (fma.f64 1/6 (/.f64 (.f64 y y) x) (.f64 x 3/2)))
(fma.f64 y -1/2 (fma.f64 x 3/2 (/.f64 (.f64 (.f64 1/6 y) y) x)))
(fma.f64 y -1/2 (fma.f64 1/6 (.f64 (/.f64 y x) y) (.f64 x 3/2)))
(+.f64 (.f64 -1/2 y) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 3/2 x) (.f64 -1/18 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))))
(fma.f64 -1/2 y (fma.f64 1/6 (/.f64 (.f64 y y) x) (fma.f64 3/2 x (.f64 -1/18 (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(fma.f64 y -1/2 (fma.f64 1/6 (/.f64 y (/.f64 x y)) (fma.f64 -1/18 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 x 3/2))))
(fma.f64 y -1/2 (fma.f64 (/.f64 -1/18 x) (/.f64 (pow.f64 y 3) x) (fma.f64 1/6 (.f64 (/.f64 y x) y) (.f64 x 3/2))))
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(.f64 9/2 (/.f64 (.f64 x x) y))
(.f64 (/.f64 9/2 y) (.f64 x x))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 9/2 (/.f64 (*.f64 x x) y)))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 (/.f64 9/2 y) (*.f64 x x)))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 9/2 (/.f64 (*.f64 x x) y))))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 9/2 (.f64 (/.f64 x y) x) (/.f64 81/2 (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 9/2 (/.f64 (*.f64 x x) y)))))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 9/2 (.f64 (/.f64 x y) x) (/.f64 -243/2 (/.f64 (pow.f64 y 4) (pow.f64 x 5))))))
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(.f64 9/2 (/.f64 (.f64 x x) y))
(.f64 (/.f64 9/2 y) (.f64 x x))
(+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 9/2 (/.f64 (*.f64 x x) y)))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 (/.f64 9/2 y) (*.f64 x x)))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 9/2 (/.f64 (pow.f64 x 2) y))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 9/2 (/.f64 (*.f64 x x) y))))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 9/2 (.f64 (/.f64 x y) x) (/.f64 81/2 (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))
(+.f64 (.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (.f64 9/2 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -243/2 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (.f64 9/2 (/.f64 (*.f64 x x) y)))))
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 9/2 (.f64 (/.f64 x y) x) (/.f64 -243/2 (/.f64 (pow.f64 y 4) (pow.f64 x 5))))))
(*.f64 9/4 (pow.f64 x 2))
(.f64 x (.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(.f64 x (.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(.f64 x (.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(.f64 x (.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(.f64 x (.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(.f64 x (.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(.f64 x (.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(.f64 x (.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(.f64 x (.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(.f64 x (.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(.f64 x (.f64 x 9/4))
(*.f64 9/4 (pow.f64 x 2))
(.f64 x (.f64 x 9/4))
(+.f64 0 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x 9/4)))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 x (/.f64 x (.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 4/9)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x 9/4)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x 9/4))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 3/2 (.f64 y 1/2)))) (.f64 x 9/4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (fma.f64 x 3/2 (.f64 y 1/2)))) (.f64 x 9/4)))))
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(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 x (/.f64 x (.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 4/9)))
(pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 2)
(pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))) 2)
(pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))) 3/2) 2)
(pow.f64 (.f64 3/2 (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2))))) 2)
(pow.f64 (.f64 (fma.f64 x 3/2 (.f64 1/2 y)) (pow.f64 (*.f64 x 3/2) -2)) -1)
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 x (/.f64 x (.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 4/9)))
(pow.f64 (/.f64 (pow.f64 (.f64 x 3/2) 6) (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (.f64 x 3/2) 6) (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 3)))
(cbrt.f64 (/.f64 (.f64 729/64 (pow.f64 x 6)) (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 3)))
(pow.f64 (/.f64 (.f64 (fma.f64 x 3/2 (.f64 1/2 y)) (pow.f64 (*.f64 x 3/2) -2)) 1) -1)
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 x (/.f64 x (.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 4/9)))
(neg.f64 (/.f64 (.f64 x (.f64 x 9/4)) (neg.f64 (fma.f64 x 3/2 (*.f64 1/2 y)))))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 x (/.f64 x (.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 4/9)))
(sqrt.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 4))
(pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))) 2)
(pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))) 3/2) 2)
(pow.f64 (.f64 3/2 (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2))))) 2)
(log.f64 (exp.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x 9/4))))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 x (/.f64 x (.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 4/9)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x 9/4)))))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 x (/.f64 x (.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 4/9)))
(cbrt.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 1/2 y)))) 6))
(cbrt.f64 (pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))) 6))
(cbrt.f64 (pow.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2)))) 3/2) 6))
(cbrt.f64 (pow.f64 (.f64 3/2 (/.f64 x (sqrt.f64 (fma.f64 x 3/2 (.f64 y 1/2))))) 6))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x 3/2) 6) (pow.f64 (fma.f64 x 3/2 (.f64 1/2 y)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x 3/2) 6) (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 3)))
(cbrt.f64 (/.f64 (.f64 729/64 (pow.f64 x 6)) (pow.f64 (fma.f64 x 3/2 (.f64 y 1/2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x 9/4))))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 x (/.f64 x (.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 4/9)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x 9/4))))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 x (/.f64 x (.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 4/9)))
(exp.f64 (log.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (*.f64 x 9/4))))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 x (/.f64 x (.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 4/9)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x (fma.f64 x 3/2 (.f64 1/2 y))) (.f64 x 9/4))) 1))
(.f64 x (/.f64 (.f64 x 9/4) (fma.f64 x 3/2 (*.f64 y 1/2))))
(.f64 x (/.f64 x (.f64 (fma.f64 x 3/2 (*.f64 y 1/2)) 4/9)))
(+.f64 0 (.f64 x (.f64 x 9/4)))
(.f64 x (.f64 x 9/4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/4) (.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/4) (.f64 x x)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/4) (.f64 x x)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 9/4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/4) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/4) (.f64 x x)))))
(.f64 x (.f64 x 9/4))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 9/4)))) 1)
(.f64 x (.f64 x 9/4))
(pow.f64 (.f64 x (.f64 x 9/4)) 1)
(.f64 x (.f64 x 9/4))
(pow.f64 (*.f64 x 3/2) 2)
(.f64 x (.f64 x 9/4))
(pow.f64 (pow.f64 (*.f64 x 3/2) 4) 1/2)
(.f64 x (.f64 x 9/4))
(pow.f64 (pow.f64 (*.f64 x 3/2) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x 3/2) 6))
(cbrt.f64 (*.f64 729/64 (pow.f64 x 6)))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/2)) 2) 3)
(.f64 x (.f64 x 9/4))
(pow.f64 (cbrt.f64 (*.f64 x 3/2)) 6)
(.f64 x (.f64 x 9/4))
(pow.f64 (sqrt.f64 (*.f64 x 3/2)) 4)
(.f64 x (.f64 x 9/4))
(pow.f64 (pow.f64 (*.f64 x 3/2) 3) 2/3)
(.f64 x (.f64 x 9/4))
(pow.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x 9/4) 3)) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x 3/2) 6))
(cbrt.f64 (*.f64 729/64 (pow.f64 x 6)))
(pow.f64 (.f64 (pow.f64 (.f64 x 9/4) 3) (pow.f64 x 3)) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x 3/2) 6))
(cbrt.f64 (*.f64 729/64 (pow.f64 x 6)))
(sqrt.f64 (pow.f64 (*.f64 x 3/2) 4))
(.f64 x (.f64 x 9/4))
(log.f64 (pow.f64 (exp.f64 9/4) (*.f64 x x)))
(.f64 x (.f64 x 9/4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 9/4)))))
(.f64 x (.f64 x 9/4))
(cbrt.f64 (pow.f64 (*.f64 x 3/2) 6))
(cbrt.f64 (*.f64 729/64 (pow.f64 x 6)))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 x 9/4) 3)))
(cbrt.f64 (pow.f64 (*.f64 x 3/2) 6))
(cbrt.f64 (*.f64 729/64 (pow.f64 x 6)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x 9/4) 3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 x 3/2) 6))
(cbrt.f64 (*.f64 729/64 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 9/4))))
(.f64 x (.f64 x 9/4))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 9/4))))
(.f64 x (.f64 x 9/4))
(exp.f64 (.f64 2 (log.f64 (.f64 x 3/2))))
(.f64 x (.f64 x 9/4))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x 3/2))) 1))
(.f64 x (.f64 x 9/4))

eval235.0ms (6.6%)

Compiler: Compiled 8214 to 5678 computations (30.9% saved)

prune82.0ms (2.3%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	420	0	420
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	420	7	427

Error

Counts

427 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 3/2 x (*.f64 -1/2 y))
✓	46.0b	(/.f64 (.f64 x (.f64 x 9/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
✓	46.0b	(/.f64 (.f64 9/4 (.f64 x x)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
✓	0.1b	(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
✓	0.1b	(+.f64 x (/.f64 (-.f64 x y) 2))
✓	31.4b	(*.f64 3/2 x)
✓	31.5b	(*.f64 -1/2 y)

Compiler

Compiled 68 to 50 computations (26.5% saved)

regimes42.0ms (1.2%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 -1/2 y)
(*.f64 3/2 x)
(+.f64 x (/.f64 (-.f64 x y) 2))
(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
(/.f64 (.f64 9/4 (.f64 x x)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
(/.f64 (.f64 x (.f64 x 9/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
(/.f64 (-.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y y) 1/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
(fma.f64 3/2 x (*.f64 -1/2 y))

Outputs
(fma.f64 3/2 x (*.f64 -1/2 y))

Calls

3 calls:

29.0ms	(+.f64 x (/.f64 (-.f64 x y) 2))
5.0ms	x
5.0ms	y

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(+.f64 x (/.f64 (-.f64 x y) 2))`

Compiler

Compiled 90 to 60 computations (33.3% saved)

regimes17.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 -1/2 y)
(*.f64 3/2 x)
(+.f64 x (/.f64 (-.f64 x y) 2))
(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
(/.f64 (.f64 9/4 (.f64 x x)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
(/.f64 (.f64 x (.f64 x 9/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))
(/.f64 (-.f64 (.f64 9/4 (.f64 x x)) (.f64 (.f64 y y) 1/4)) (+.f64 (.f64 3/2 x) (.f64 1/2 y)))

Outputs
(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))

Calls

3 calls:

6.0ms	y
5.0ms	(+.f64 x (/.f64 (-.f64 x y) 2))
5.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(+.f64 x (/.f64 (-.f64 x y) 2))`

Compiler

Compiled 84 to 56 computations (33.3% saved)

regimes36.0ms (1%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 -1/2 y)
(*.f64 3/2 x)
(+.f64 x (/.f64 (-.f64 x y) 2))

Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))

Calls

3 calls:

29.0ms	y
3.0ms	(+.f64 x (/.f64 (-.f64 x y) 2))
3.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(+.f64 x (/.f64 (-.f64 x y) 2))`

Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes25.0ms (0.7%)

Accuracy

Total -50.8b remaining (-453.4%)

Threshold costs -50.8b (-453.4%)

Counts

2 → 5

Calls

Call 1

Inputs
(*.f64 -1/2 y)
(*.f64 3/2 x)

Outputs
(*.f64 -1/2 y)
(*.f64 3/2 x)
(*.f64 -1/2 y)
(*.f64 3/2 x)
(*.f64 -1/2 y)

Calls

2 calls:

14.0ms	y
11.0ms	x

Results

Error	Segments	Branch
16.7b	3	`x`
11.2b	5	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch95.0ms (2.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
31.0ms	1.0142512529742652e+61	1.0720315220920055e+62
27.0ms	3.3689463095979996e+25	3.0322260303378186e+26
16.0ms	0.00430700889711282	5183007.171036401
21.0ms	-0.11269080074373092	-3.32381609981071e-17

Results

44.0ms	472×	body	256	valid
3.0ms	9×	body	512	valid
2.0ms	12×	body	1024	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 386 to 320 computations (17.1% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`
17×	`+-commutative_binary64`
17×	`distribute-rgt-neg-in_binary64`
16×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	79
1	41	79
2	55	79
3	78	79
4	111	79
5	152	79
6	186	79
7	216	79
8	229	79
9	230	79

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 3/2 x (*.f64 -1/2 y))
(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
(+.f64 x (/.f64 (-.f64 x y) 2))
(if (<=.f64 y -7791904696734915/2361183241434822606848) (.f64 -1/2 y) (if (<=.f64 y 8106479329266893/1125899906842624) (.f64 3/2 x) (if (<=.f64 y 279999999999999999597346816) (.f64 -1/2 y) (if (<=.f64 y 11000000000000000156882334620794148065743079845895078995296256) (.f64 3/2 x) (*.f64 -1/2 y)))))
(*.f64 -1/2 y)

Outputs
(fma.f64 3/2 x (*.f64 -1/2 y))
(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
(+.f64 (.f64 x 1/2) (+.f64 x (.f64 -1/2 y)))
(+.f64 (.f64 x 1/2) (-.f64 x (.f64 y 1/2)))
(+.f64 x (/.f64 (-.f64 x y) 2))
(if (<=.f64 y -7791904696734915/2361183241434822606848) (.f64 -1/2 y) (if (<=.f64 y 8106479329266893/1125899906842624) (.f64 3/2 x) (if (<=.f64 y 279999999999999999597346816) (.f64 -1/2 y) (if (<=.f64 y 11000000000000000156882334620794148065743079845895078995296256) (.f64 3/2 x) (*.f64 -1/2 y)))))
(*.f64 -1/2 y)

Compiler

Compiled 66 to 48 computations (27.3% saved)

soundness86.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

477×	`fma-neg_binary64`
424×	`div-sub_binary64`
309×	`unswap-sqr_binary64`
294×	`distribute-rgt-in_binary64`
277×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	1251
1	509	1207
2	1286	1174
3	5171	1174

Stop Event

1×	node limit

Compiler

Compiled 70 to 54 computations (22.9% saved)

end51.0ms (1.4%)

Compiler: Compiled 58 to 40 computations (31% saved)

Details

analyze49.0ms (1.4%)

sample1.1s (30.1%)

preprocess44.0ms (1.2%)

simplify23.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite51.0ms (1.4%)

simplify90.0ms (2.5%)

eval29.0ms (0.8%)

prune36.0ms (1%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize11.0ms (0.3%)

series2.0ms (0.1%)

rewrite66.0ms (1.8%)

simplify86.0ms (2.4%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite42.0ms (1.2%)

simplify304.0ms (8.5%)

eval64.0ms (1.8%)

prune29.0ms (0.8%)

localize24.0ms (0.7%)

series10.0ms (0.3%)

rewrite88.0ms (2.5%)

simplify127.0ms (3.6%)

eval219.0ms (6.1%)

prune98.0ms (2.7%)

localize18.0ms (0.5%)

series3.0ms (0.1%)

rewrite54.0ms (1.5%)

simplify71.0ms (2%)

localize17.0ms (0.5%)

series2.0ms (0.1%)

rewrite59.0ms (1.6%)

simplify81.0ms (2.3%)

eval235.0ms (6.6%)

prune82.0ms (2.3%)

regimes42.0ms (1.2%)

regimes17.0ms (0.5%)

regimes36.0ms (1%)

regimes25.0ms (0.7%)

bsearch95.0ms (2.7%)

simplify8.0ms (0.2%)

soundness86.0ms (2.4%)

end51.0ms (1.4%)

Profiling