Details

analyze50.0ms (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)

sample912.0ms (25%)

Results

787.0ms	7728×	body	256	valid
59.0ms	197×	body	2048	valid
35.0ms	190×	body	1024	valid
18.0ms	141×	body	512	valid
0.0ms	4×	body	256	infinite

Bogosity

preprocess41.0ms (1.1%)

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 (0.6%)

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

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

localize6.0ms (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)

series33.0ms (0.9%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (1.3%)

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 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((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)))))))

simplify59.0ms (1.6%)

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)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y -1/2 (*.f64 x 3/2))

Compiler

Compiled 15 to 10 computations (33.3% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(fma.f64 y -1/2 (*.f64 x 3/2))
0.0ms	y	@	0	(fma.f64 y -1/2 (*.f64 x 3/2))
0.0ms	y	@	-inf	(fma.f64 y -1/2 (*.f64 x 3/2))
0.0ms	x	@	inf	(fma.f64 y -1/2 (*.f64 x 3/2))
0.0ms	x	@	-inf	(fma.f64 y -1/2 (*.f64 x 3/2))

rewrite41.0ms (1.1%)

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	1530	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify37.0ms (1%)

Algorithm

1×	egg-herbie

Rules

661×	`distribute-rgt-in_binary64`
637×	`distribute-lft-in_binary64`
399×	`associate-l_binary64`
324×	`associate-r_binary64`
244×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	394
1	158	383
2	623	380
3	3266	378

Stop Event

1×	node limit

Counts

45 → 34

Calls

Call 1

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

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

eval45.0ms (1.2%)

Compiler: Compiled 1947 to 1161 computations (40.4% saved)

prune22.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	130	5	135
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	131	6	137

Error

Counts

137 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 3/2 x (*.f64 -1/2 y))
▶	29.6b	(/.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 -9/4 (.f64 x x))) (-.f64 (.f64 -1/2 y) (.f64 3/2 x)))
▶	0.1b	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
✓	0.1b	(+.f64 x (/.f64 (-.f64 x y) 2))
▶	31.7b	(*.f64 3/2 x)
▶	31.5b	(*.f64 -1/2 y)

Compiler

Compiled 105 to 78 computations (25.7% saved)

localize6.0ms (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)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(fma.f64 3/2 x (*.f64 -1/2 y))
1.0ms	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))

rewrite40.0ms (1.1%)

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))))))))

simplify37.0ms (1%)

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))

localize3.0ms (0.1%)

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

localize4.0ms (0.1%)

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

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y -1/2) (.f64 x 3/2))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`pow1_binary64`
805×	`add-log-exp_binary64`
805×	`log1p-expm1-u_binary64`
805×	`expm1-log1p-u_binary64`
790×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	172	8
2	2185	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify47.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-neg_binary64`
492×	`associate-l_binary64`
433×	`associate-r_binary64`
308×	`distribute-rgt-neg-in_binary64`
257×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	742
1	249	705
2	843	690
3	4816	690

Stop Event

1×	node limit

Counts

61 → 49

Calls

Call 1

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

localize30.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 -1/2 y) (.f64 3/2 x))
✓	0.2b	(.f64 -9/4 (.f64 x x))
✓	2.1b	(+.f64 (.f64 (.f64 y y) 1/4) (.f64 -9/4 (.f64 x x)))
✓	27.9b	(/.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 -9/4 (.f64 x x))) (-.f64 (.f64 -1/2 y) (.f64 3/2 x)))

Compiler

Compiled 67 to 37 computations (44.8% saved)

series15.0ms (0.4%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(-.f64 (.f64 -1/2 y) (.f64 3/2 x))
3.0ms	y	@	0	(/.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 -9/4 (.f64 x x))) (-.f64 (.f64 -1/2 y) (.f64 3/2 x)))
2.0ms	x	@	inf	(/.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 -9/4 (.f64 x x))) (-.f64 (.f64 -1/2 y) (.f64 3/2 x)))
1.0ms	x	@	0	(/.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 -9/4 (.f64 x x))) (-.f64 (.f64 -1/2 y) (.f64 3/2 x)))
1.0ms	y	@	inf	(/.f64 (+.f64 (.f64 (.f64 y y) 1/4) (.f64 -9/4 (.f64 x x))) (-.f64 (.f64 -1/2 y) (.f64 3/2 x)))

rewrite88.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`fma-def_binary64`
445×	`fma-neg_binary64`
300×	`expm1-udef_binary64`
300×	`log1p-udef_binary64`
238×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	366	53
2	4935	53

Stop Event

1×	node limit

Counts

4 → 288

Calls

Call 1

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

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

simplify115.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

405×	`log-prod_binary64`
314×	`fma-neg_binary64`
287×	`associate-l_binary64`
284×	`associate-r_binary64`
248×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	559	5879
1	1347	5599
2	4682	5523

Stop Event

1×	node limit

Counts

372 → 366

Calls

Call 1

Inputs
(*.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 -1/2 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 -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 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 -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 -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 -1/2 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))
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(fma.f64 -3/2 x (*.f64 y -1/2))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 x -3/2 (.f64 x 3/2))) (cbrt.f64 (fma.f64 x -3/2 (.f64 x 3/2)))) (cbrt.f64 (fma.f64 x -3/2 (.f64 x 3/2))) (fma.f64 y -1/2 (*.f64 x -3/2)))
(fma.f64 (.f64 (cbrt.f64 (.f64 x -3/2)) (cbrt.f64 (.f64 x -3/2))) (cbrt.f64 (.f64 x -3/2)) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/16))) (sqrt.f64 (cbrt.f64 (.f64 (.f64 y y) 1/4))) (.f64 x -3/2))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/16))) (sqrt.f64 (cbrt.f64 (.f64 (.f64 y y) 1/4))) (.f64 (*.f64 x -3/2) 1))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/16))) (sqrt.f64 (cbrt.f64 (.f64 (.f64 y y) 1/4))) (fma.f64 x -3/2 (fma.f64 x -3/2 (.f64 x 3/2))))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/16))) (sqrt.f64 (cbrt.f64 (.f64 (.f64 y y) 1/4))) (neg.f64 (-.f64 (.f64 x 3/2) (fma.f64 x -3/2 (*.f64 x 3/2)))))
(fma.f64 (sqrt.f64 (fma.f64 x -3/2 (.f64 x 3/2))) (sqrt.f64 (fma.f64 x -3/2 (.f64 x 3/2))) (fma.f64 y -1/2 (*.f64 x -3/2)))
(fma.f64 (sqrt.f64 (.f64 x -3/2)) (sqrt.f64 (.f64 x -3/2)) (*.f64 y -1/2))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x 3/2))) (sqrt.f64 (.f64 x 3/2)) (*.f64 y -1/2))
(fma.f64 -1 (.f64 x 3/2) (.f64 y -1/2))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 x 3/2))) (-.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 x 3/2))) (fma.f64 x -3/2 (*.f64 x 3/2)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 x 3/2))) (-.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 x 3/2))) (fma.f64 (.f64 x -3/2) 1 (.f64 x 3/2)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 x 3/2))) (-.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 x 3/2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x 3/2))) (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (*.f64 x 3/2)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 x 3/2))) (-.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 x 3/2))) (.f64 (fma.f64 x -3/2 (.f64 x 3/2)) 1))
(fma.f64 (+.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 x 3/2))) (-.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 x 3/2))) (+.f64 (fma.f64 x -3/2 (.f64 x 3/2)) (fma.f64 x -3/2 (.f64 x 3/2))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2)) (cbrt.f64 (.f64 x 3/2)) (*.f64 y -1/2))
(fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x -3/2))
(fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 (*.f64 x -3/2) 1))
(fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 x -3/2 (fma.f64 x -3/2 (.f64 x 3/2))))
(fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 (-.f64 (.f64 x 3/2) (fma.f64 x -3/2 (*.f64 x 3/2)))))
(fma.f64 (.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (.f64 x -3/2))
(fma.f64 (.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (.f64 (*.f64 x -3/2) 1))
(fma.f64 (.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x -3/2 (fma.f64 x -3/2 (.f64 x 3/2))))
(fma.f64 (.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (.f64 x 3/2) (fma.f64 x -3/2 (*.f64 x 3/2)))))
(fma.f64 (.f64 -3/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 y -1/2))
(fma.f64 (.f64 -3/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 y -1/2))

Outputs
(*.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 -1/2 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 -9/4 (pow.f64 x 2))
(.f64 -9/4 (.f64 x x))
(+.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 x (.f64 x -9/4) (.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 x (.f64 x -9/4) (.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 x (.f64 x -9/4) (.f64 y (*.f64 y 1/4)))
(*.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 x (.f64 x -9/4) (.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 x (.f64 x -9/4) (.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 x (.f64 x -9/4) (.f64 y (*.f64 y 1/4)))
(*.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 x (.f64 x -9/4) (.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 x (.f64 x -9/4) (.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 x (.f64 x -9/4) (.f64 y (*.f64 y 1/4)))
(*.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 x (.f64 x -9/4) (.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 x (.f64 x -9/4) (.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 x (.f64 x -9/4) (.f64 y (*.f64 y 1/4)))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 -9/4 (.f64 x x))
(+.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 x (.f64 x -9/4) (.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 x (.f64 x -9/4) (.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 x (.f64 x -9/4) (.f64 y (*.f64 y 1/4)))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 -9/4 (.f64 x x))
(+.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 x (.f64 x -9/4) (.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 x (.f64 x -9/4) (.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 x (.f64 x -9/4) (.f64 y (*.f64 y 1/4)))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 -9/4 (.f64 x x))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 -9/4 (.f64 x x))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 -9/4 (.f64 x x))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 -9/4 (.f64 x x))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 -9/4 (.f64 x x))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 -9/4 (.f64 x x))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 -9/4 (.f64 x x))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 -9/4 (.f64 x x))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 -9/4 (.f64 x x))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 -9/4 (.f64 x x))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 -9/4 (.f64 x x))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 -9/4 (.f64 x x))
(*.f64 -3/2 x)
(*.f64 x -3/2)
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(*.f64 -3/2 x)
(*.f64 x -3/2)
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(*.f64 -3/2 x)
(*.f64 x -3/2)
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (.f64 -3/2 x))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y (.f64 y 1/4) (.f64 x (.f64 -9/4 x))) (fma.f64 y -1/2 (.f64 x -3/2))))) 1)
(/.f64 (fma.f64 y (.f64 y 1/4) (.f64 x (.f64 x -9/4))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 x (.f64 x -9/4) (.f64 y (.f64 y 1/4))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 1/4 (.f64 y y) (.f64 -9/4 (.f64 x x))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(.f64 (fma.f64 y (.f64 y 1/4) (.f64 x (.f64 -9/4 x))) (/.f64 1 (fma.f64 y -1/2 (*.f64 x -3/2))))
(/.f64 (fma.f64 y (.f64 y 1/4) (.f64 x (.f64 x -9/4))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 x (.f64 x -9/4) (.f64 y (.f64 y 1/4))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 1/4 (.f64 y y) (.f64 -9/4 (.f64 x x))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(.f64 (/.f64 (fma.f64 y (.f64 y 1/4) (.f64 x (.f64 -9/4 x))) (fma.f64 y -1/2 (*.f64 x -3/2))) 1)
(/.f64 (fma.f64 y (.f64 y 1/4) (.f64 x (.f64 x -9/4))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 x (.f64 x -9/4) (.f64 y (.f64 y 1/4))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 1/4 (.f64 y y) (.f64 -9/4 (.f64 x x))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(.f64 1 (/.f64 (fma.f64 y (.f64 y 1/4) (.f64 x (.f64 -9/4 x))) (fma.f64 y -1/2 (*.f64 x -3/2))))
(/.f64 (fma.f64 y (.f64 y 1/4) (.f64 x (.f64 x -9/4))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 x (.f64 x -9/4) (.f64 y (.f64 y 1/4))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 1/4 (.f64 y y) (.f64 -9/4 (.f64 x x))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 y (.f64 y 1/4) (.f64 x (.f64 -9/4 x))) (fma.f64 y -1/2 (.f64 x -3/2)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (.f64 y 1/4) (.f64 x (.f64 -9/4 x))) (fma.f64 y -1/2 (*.f64 x -3/2)))) 2))
(/.f64 (fma.f64 y (.f64 y 1/4) (.f64 x (.f64 x -9/4))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 x (.f64 x -9/4) (.f64 y (.f64 y 1/4))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 1/4 (.f64 y y) (.f64 -9/4 (.f64 x x))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y (.f64 y 1/4) (.f64 x (.f64 -9/4 x))) (fma.f64 y -1/2 (.f64 x -3/2)))) 2) (cbrt.f64 (/.f64 (fma.f64 y (.f64 y 1/4) (.f64 x (.f64 -9/4 x))) (fma.f64 y -1/2 (*.f64 x -3/2)))))
(/.f64 (fma.f64 y (.f64 y 1/4) (.f64 x (.f64 x -9/4))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 x (.f64 x -9/4) (.f64 y (.f64 y 1/4))) (fma.f64 x -3/2 (.f64 -1/2 y)))
(/.f64 (fma.f64 1/4 (.f64 y y) (.f64 -9/4 (.f64 x x))) (fma.f64 x -3/2 (.f64 -1/2 y)))
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(log.f64 (exp.f64 (fma.f64 y -1/2 (*.f64 x -3/2))))
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(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/2 (.f64 -1/2 y)) 2)) (cbrt.f64 (fma.f64 x -3/2 (.f64 -1/2 y))) (*.f64 x 0))
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(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/2 (.f64 -1/2 y)) 2)) (cbrt.f64 (fma.f64 x -3/2 (.f64 -1/2 y))) (*.f64 x 0))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x -3/2 (.f64 -1/2 y)) 2)) (cbrt.f64 (fma.f64 x -3/2 (.f64 -1/2 y))) 0)
(fma.f64 (cbrt.f64 (.f64 y -1/2)) (cbrt.f64 (.f64 (.f64 y y) 1/4)) (.f64 x -3/2))
(fma.f64 (cbrt.f64 (.f64 -1/2 y)) (cbrt.f64 (.f64 y (.f64 y 1/4))) (.f64 x -3/2))
(fma.f64 (cbrt.f64 (.f64 y (.f64 y 1/4))) (cbrt.f64 (.f64 -1/2 y)) (.f64 x -3/2))
(fma.f64 (cbrt.f64 (.f64 y -1/2)) (cbrt.f64 (.f64 (.f64 y y) 1/4)) (.f64 (*.f64 x -3/2) 1))
(fma.f64 (cbrt.f64 (.f64 -1/2 y)) (cbrt.f64 (.f64 y (.f64 y 1/4))) (.f64 x -3/2))
(fma.f64 (cbrt.f64 (.f64 y (.f64 y 1/4))) (cbrt.f64 (.f64 -1/2 y)) (.f64 x -3/2))
(fma.f64 (cbrt.f64 (.f64 y -1/2)) (cbrt.f64 (.f64 (.f64 y y) 1/4)) (fma.f64 x -3/2 (fma.f64 x -3/2 (.f64 x 3/2))))
(fma.f64 (cbrt.f64 (.f64 -1/2 y)) (cbrt.f64 (.f64 y (.f64 y 1/4))) (.f64 x -3/2))
(fma.f64 (cbrt.f64 (.f64 y (.f64 y 1/4))) (cbrt.f64 (.f64 -1/2 y)) (.f64 x -3/2))
(fma.f64 (cbrt.f64 (.f64 y -1/2)) (cbrt.f64 (.f64 (.f64 y y) 1/4)) (neg.f64 (-.f64 (.f64 x 3/2) (fma.f64 x -3/2 (*.f64 x 3/2)))))
(fma.f64 (cbrt.f64 (.f64 -1/2 y)) (cbrt.f64 (.f64 y (.f64 y 1/4))) (.f64 x -3/2))
(fma.f64 (cbrt.f64 (.f64 y (.f64 y 1/4))) (cbrt.f64 (.f64 -1/2 y)) (.f64 x -3/2))
(fma.f64 (cbrt.f64 (.f64 (.f64 y y) 1/4)) (cbrt.f64 (.f64 y -1/2)) (.f64 x -3/2))
(fma.f64 (cbrt.f64 (.f64 -1/2 y)) (cbrt.f64 (.f64 y (.f64 y 1/4))) (.f64 x -3/2))
(fma.f64 (cbrt.f64 (.f64 y (.f64 y 1/4))) (cbrt.f64 (.f64 -1/2 y)) (.f64 x -3/2))
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(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) (-.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) (fma.f64 x -3/2 (*.f64 3/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) (-.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) (*.f64 x 0))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) (-.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) 0)
(fma.f64 (+.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 x 3/2))) (-.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 x 3/2))) (.f64 (fma.f64 x -3/2 (.f64 x 3/2)) 1))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) (-.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) (fma.f64 x -3/2 (*.f64 3/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) (-.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) (*.f64 x 0))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) (-.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) 0)
(fma.f64 (+.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 x 3/2))) (-.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 x 3/2))) (+.f64 (fma.f64 x -3/2 (.f64 x 3/2)) (fma.f64 x -3/2 (.f64 x 3/2))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) (-.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) (fma.f64 x -3/2 (*.f64 3/2 x)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) (-.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) (*.f64 x 0))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) (-.f64 (sqrt.f64 (.f64 -1/2 y)) (sqrt.f64 (.f64 3/2 x))) 0)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2)) (cbrt.f64 (.f64 x 3/2)) (*.f64 y -1/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 (*.f64 x -3/2) 1))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 x -3/2 (fma.f64 x -3/2 (.f64 x 3/2))))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 (-.f64 (.f64 x 3/2) (fma.f64 x -3/2 (*.f64 x 3/2)))))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(fma.f64 (.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(fma.f64 (.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (.f64 (*.f64 x -3/2) 1))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(fma.f64 (.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x -3/2 (fma.f64 x -3/2 (.f64 x 3/2))))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(fma.f64 (.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (.f64 x 3/2) (fma.f64 x -3/2 (*.f64 x 3/2)))))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(fma.f64 (.f64 -3/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 y -1/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))
(fma.f64 (.f64 -3/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 y -1/2))
(fma.f64 x -3/2 (*.f64 -1/2 y))

eval190.0ms (5.2%)

Compiler: Compiled 11204 to 7409 computations (33.9% saved)

prune111.0ms (3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	445	2	447
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	446	7	453

Error

Counts

453 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 3/2 x (*.f64 -1/2 y))
▶	46.2b	(/.f64 (.f64 -9/4 (.f64 x x)) (-.f64 (.f64 -1/2 y) (.f64 3/2 x)))
▶	29.7b	(/.f64 1 (/.f64 (+.f64 (.f64 y -1/2) (.f64 -3/2 x)) (-.f64 (.f64 (.f64 y y) 1/4) (.f64 (.f64 x x) 9/4))))
✓	0.1b	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
✓	0.1b	(+.f64 x (/.f64 (-.f64 x y) 2))
✓	31.7b	(*.f64 3/2 x)
✓	31.5b	(*.f64 -1/2 y)

Compiler

Compiled 74 to 55 computations (25.7% saved)

localize29.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) 9/4)
✓	0.3b	(/.f64 1 (/.f64 (+.f64 (.f64 y -1/2) (.f64 -3/2 x)) (-.f64 (.f64 (.f64 y y) 1/4) (.f64 (.f64 x x) 9/4))))
✓	2.1b	(-.f64 (.f64 (.f64 y y) 1/4) (.f64 (.f64 x x) 9/4))
✓	27.9b	(/.f64 (+.f64 (.f64 y -1/2) (.f64 -3/2 x)) (-.f64 (.f64 (.f64 y y) 1/4) (.f64 (.f64 x x) 9/4)))

Compiler

Compiled 89 to 51 computations (42.7% saved)

series35.0ms (1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
27.0ms	y	@	0	(/.f64 1 (/.f64 (+.f64 (.f64 y -1/2) (.f64 -3/2 x)) (-.f64 (.f64 (.f64 y y) 1/4) (.f64 (.f64 x x) 9/4))))
1.0ms	y	@	0	(/.f64 (+.f64 (.f64 y -1/2) (.f64 -3/2 x)) (-.f64 (.f64 (.f64 y y) 1/4) (.f64 (.f64 x x) 9/4)))
1.0ms	y	@	inf	(/.f64 (+.f64 (.f64 y -1/2) (.f64 -3/2 x)) (-.f64 (.f64 (.f64 y y) 1/4) (.f64 (.f64 x x) 9/4)))
1.0ms	x	@	inf	(/.f64 (+.f64 (.f64 y -1/2) (.f64 -3/2 x)) (-.f64 (.f64 (.f64 y y) 1/4) (.f64 (.f64 x x) 9/4)))
0.0ms	y	@	inf	(/.f64 1 (/.f64 (+.f64 (.f64 y -1/2) (.f64 -3/2 x)) (-.f64 (.f64 (.f64 y y) 1/4) (.f64 (.f64 x x) 9/4))))

rewrite86.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`log-prod_binary64`
441×	`fma-neg_binary64`
284×	`expm1-udef_binary64`
284×	`log1p-udef_binary64`
229×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	78
1	407	37
2	5681	37

Stop Event

1×	node limit

Counts

4 → 286

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x))) (/.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) (fma.f64 y -1/2 (.f64 -3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y -1/2 (.f64 -3/2 x)) (/.f64 1 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) 2) (.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) (/.f64 1 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x)))) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x)))) 2) (/.f64 1 (cbrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) (.f64 (sqrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) (/.f64 1 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x)))) (/.f64 1 (sqrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) (/.f64 1 (neg.f64 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2)) (fma.f64 y -1/2 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) 1) (/.f64 (sqrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2) 2))) (/.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) 2) (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2) 2))) (/.f64 1 (cbrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2) 2))) (/.f64 (sqrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) 2) (fma.f64 y -1/2 (.f64 -3/2 x))) (/.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) (fma.f64 y -1/2 (.f64 -3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (.f64 -1/8 (pow.f64 y 3)) (.f64 (pow.f64 x 3) -27/8))) (+.f64 (.f64 (.f64 y y) 1/4) (.f64 (.f64 -3/2 x) (-.f64 (.f64 -3/2 x) (.f64 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) (-.f64 (.f64 (pow.f64 (.f64 y y) 3) 1/64) (.f64 (pow.f64 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#<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 3) (pow.f64 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 y -1/2 (.f64 -3/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 y -1/2 (*.f64 -3/2 x)))) 1))))))
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(/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x))) (fma.f64 y -1/2 (.f64 -3/2 x))) (fma.f64 y -1/2 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x))) (cbrt.f64 (pow.f64 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2) 2))) (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (fma.f64 y -1/2 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -1/2 (.f64 -3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -1/2 (.f64 -3/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 -1/2) y) (pow.f64 (exp.f64 x) -3/2)))))) (#(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 -1/2) y) (+.f64 1 (expm1.f64 (.f64 -3/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 y -1/2))) (+.f64 1 (expm1.f64 (.f64 -3/2 x)))))))) (#(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 -1/2) y) (+.f64 1 (expm1.f64 (.f64 -3/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y -1/2))) (+.f64 1 (expm1.f64 (.f64 -3/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -3/2 x))) (pow.f64 (exp.f64 -1/2) y)))))) (#(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 -3/2 x))) (+.f64 1 (expm1.f64 (.f64 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2) 3) (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (.f64 y -1/2) (sqrt.f64 (.f64 (.f64 x x) -9/4)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) (hypot.f64 (sqrt.f64 (.f64 (.f64 x x) -9/4)) (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 (.f64 x x) -9/4)) (.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 (sqrt.f64 (.f64 (.f64 x x) -9/4)) (.f64 -3/2 x)) (fma.f64 y -1/2 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -1/2 (.f64 -3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -1/2 (.f64 -3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -1/2 (.f64 -3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 y -1/2 (.f64 -3/2 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1/2 (.f64 -3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -1/2 (neg.f64 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1/2 (neg.f64 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 y (.f64 -3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 y (neg.f64 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y -1/2) 1 (neg.f64 (.f64 -3/2 x)))))) (#(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 x -3/2 (.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y -1/2) (.f64 -3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y -1/2) (neg.f64 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 -3/2 x) (.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2) (cbrt.f64 (.f64 y -1/2)) (.f64 -3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2) (cbrt.f64 (.f64 y -1/2)) (neg.f64 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) -1/2) (neg.f64 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 -3/2 x)) 2) (cbrt.f64 (.f64 -3/2 x)) (.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 y -1/2)) (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2) (neg.f64 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y 1/4)) (neg.f64 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) -1/2) (neg.f64 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 y (neg.f64 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 -3/2 x)) (sqrt.f64 (.f64 -3/2 x)) (.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 -3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 y -1/2)) (neg.f64 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/16))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2)) (neg.f64 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 (.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (*.f64 -3/2 x)))))))
((#(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 (.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(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 -3/2 x) 2)))) (#(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 (pow.f64 (cbrt.f64 (.f64 -3/2 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 729/64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 81/16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/4))))) (#(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 (.f64 (pow.f64 (.f64 x x) 3) 729/64))))) (#(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 -3/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 -3/2 x))) 1))))))

simplify118.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

739×	`times-frac_binary64`
582×	`associate-l_binary64`
555×	`associate-r_binary64`
338×	`fma-def_binary64`
307×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	647	6705
1	1637	6091

Stop Event

1×	node limit

Counts

370 → 456

Calls

Call 1

Inputs
(/.f64 2/3 x)
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (.f64 2/3 (/.f64 1 x)))
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 2/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 2/3 (/.f64 1 x))))
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 2/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 2/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x)))))
(/.f64 -2 y)
(-.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (.f64 2 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (*.f64 2 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -54 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))) (.f64 2 (/.f64 1 y)))
(/.f64 -2 y)
(-.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (.f64 2 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (*.f64 2 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -54 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))) (.f64 2 (/.f64 1 y)))
(/.f64 -2 y)
(-.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (.f64 2 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (*.f64 2 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -54 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))) (.f64 2 (/.f64 1 y)))
(/.f64 2/3 x)
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (.f64 2/3 (/.f64 1 x)))
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 2/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 2/3 (/.f64 1 x))))
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 2/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 2/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x)))))
(/.f64 2/3 x)
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (.f64 2/3 (/.f64 1 x)))
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 2/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 2/3 (/.f64 1 x))))
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 2/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 2/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x)))))
(*.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 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 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 -1/2 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 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))
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(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 2) 3) (pow.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) 3)))
(hypot.f64 (.f64 y -1/2) (sqrt.f64 (.f64 (*.f64 x x) -9/4)))
(hypot.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) (hypot.f64 (sqrt.f64 (.f64 (.f64 x x) -9/4)) (.f64 -3/2 x)))
(hypot.f64 (sqrt.f64 (.f64 (.f64 x x) -9/4)) (*.f64 y -1/2))
(hypot.f64 (hypot.f64 (sqrt.f64 (.f64 (.f64 x x) -9/4)) (.f64 -3/2 x)) (fma.f64 y -1/2 (.f64 -3/2 x)))
(expm1.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 -3/2 x))))
(log1p.f64 (expm1.f64 (fma.f64 y -1/2 (*.f64 -3/2 x))))
(exp.f64 (log.f64 (fma.f64 y -1/2 (*.f64 -3/2 x))))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 y -1/2 (.f64 -3/2 x)))) -1))
(exp.f64 (.f64 (log.f64 (fma.f64 y -1/2 (.f64 -3/2 x))) 1))
(fma.f64 y -1/2 (*.f64 -3/2 x))
(fma.f64 y -1/2 (neg.f64 (*.f64 -3/2 x)))
(fma.f64 y 1/2 (neg.f64 (*.f64 -3/2 x)))
(fma.f64 -1/2 y (*.f64 -3/2 x))
(fma.f64 -1/2 y (neg.f64 (*.f64 -3/2 x)))
(fma.f64 (.f64 y -1/2) 1 (neg.f64 (.f64 -3/2 x)))
(fma.f64 -3/2 x (*.f64 y -1/2))
(fma.f64 x -3/2 (*.f64 y -1/2))
(fma.f64 1 (.f64 y -1/2) (.f64 -3/2 x))
(fma.f64 1 (.f64 y -1/2) (neg.f64 (.f64 -3/2 x)))
(fma.f64 1 (.f64 -3/2 x) (.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2) (cbrt.f64 (.f64 y -1/2)) (*.f64 -3/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2) (cbrt.f64 (.f64 y -1/2)) (neg.f64 (*.f64 -3/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) -1/2) (neg.f64 (.f64 -3/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -3/2 x)) 2) (cbrt.f64 (.f64 -3/2 x)) (*.f64 y -1/2))
(fma.f64 (cbrt.f64 (.f64 y -1/2)) (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2) (neg.f64 (*.f64 -3/2 x)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y 1/4)) (neg.f64 (.f64 -3/2 x)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) -1/2) (neg.f64 (.f64 -3/2 x)))
(fma.f64 1/2 y (neg.f64 (*.f64 -3/2 x)))
(fma.f64 (sqrt.f64 (.f64 -3/2 x)) (sqrt.f64 (.f64 -3/2 x)) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 y -1/2)) (*.f64 -3/2 x))
(fma.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 y -1/2)) (neg.f64 (*.f64 -3/2 x)))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/16))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2)) (neg.f64 (*.f64 -3/2 x)))
(fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 (.f64 -3/2 x)))
(fma.f64 (.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (.f64 -3/2 x)))
(+.f64 0 (.f64 x (.f64 x 9/4)))
(+.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 x (.f64 x 9/4)))) 1)
(pow.f64 (*.f64 -3/2 x) 2)
(pow.f64 (.f64 x (.f64 x 9/4)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 -3/2 x)) 2) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 729/64) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 81/16))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/4))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 9/4)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 729/64))
(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 -3/2 x))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 -3/2 x))) 1))

Outputs
(/.f64 2/3 x)
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (.f64 2/3 (/.f64 1 x)))
(fma.f64 2/9 (/.f64 y (*.f64 x x)) (/.f64 2/3 x))
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 2/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 2/3 (/.f64 1 x))))
(fma.f64 2/9 (/.f64 y (.f64 x x)) (fma.f64 2/27 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 2/3 x)))
(fma.f64 2/9 (/.f64 y (*.f64 x x)) (fma.f64 2/27 (/.f64 y (/.f64 (pow.f64 x 3) y)) (/.f64 2/3 x)))
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 2/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 2/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x)))))
(fma.f64 2/9 (/.f64 y (.f64 x x)) (fma.f64 2/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 2/27 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 2/3 x))))
(fma.f64 2/9 (/.f64 y (*.f64 x x)) (fma.f64 2/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 2/27 (/.f64 y (/.f64 (pow.f64 x 3) y)) (/.f64 2/3 x))))
(/.f64 -2 y)
(-.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (.f64 2 (/.f64 1 y)))
(fma.f64 -6 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 2 y)))
(fma.f64 -6 (/.f64 x (*.f64 y y)) (/.f64 -2 y))
(-.f64 (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (*.f64 2 (/.f64 1 y)))
(-.f64 (fma.f64 -6 (/.f64 x (.f64 y y)) (.f64 -18 (/.f64 (*.f64 x x) (pow.f64 y 3)))) (/.f64 2 y))
(fma.f64 -6 (/.f64 x (.f64 y y)) (fma.f64 -18 (/.f64 (.f64 x x) (pow.f64 y 3)) (/.f64 -2 y)))
(-.f64 (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -54 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))) (.f64 2 (/.f64 1 y)))
(-.f64 (fma.f64 -6 (/.f64 x (.f64 y y)) (fma.f64 -54 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (.f64 -18 (/.f64 (*.f64 x x) (pow.f64 y 3))))) (/.f64 2 y))
(+.f64 (fma.f64 -6 (/.f64 x (.f64 y y)) (fma.f64 -54 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 (.f64 -18 (*.f64 x x)) (pow.f64 y 3)))) (/.f64 -2 y))
(/.f64 -2 y)
(-.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (.f64 2 (/.f64 1 y)))
(fma.f64 -6 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 2 y)))
(fma.f64 -6 (/.f64 x (*.f64 y y)) (/.f64 -2 y))
(-.f64 (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (*.f64 2 (/.f64 1 y)))
(-.f64 (fma.f64 -6 (/.f64 x (.f64 y y)) (.f64 -18 (/.f64 (*.f64 x x) (pow.f64 y 3)))) (/.f64 2 y))
(fma.f64 -6 (/.f64 x (.f64 y y)) (fma.f64 -18 (/.f64 (.f64 x x) (pow.f64 y 3)) (/.f64 -2 y)))
(-.f64 (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -54 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))) (.f64 2 (/.f64 1 y)))
(-.f64 (fma.f64 -6 (/.f64 x (.f64 y y)) (fma.f64 -54 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (.f64 -18 (/.f64 (*.f64 x x) (pow.f64 y 3))))) (/.f64 2 y))
(+.f64 (fma.f64 -6 (/.f64 x (.f64 y y)) (fma.f64 -54 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 (.f64 -18 (*.f64 x x)) (pow.f64 y 3)))) (/.f64 -2 y))
(/.f64 -2 y)
(-.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (.f64 2 (/.f64 1 y)))
(fma.f64 -6 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 2 y)))
(fma.f64 -6 (/.f64 x (*.f64 y y)) (/.f64 -2 y))
(-.f64 (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (*.f64 2 (/.f64 1 y)))
(-.f64 (fma.f64 -6 (/.f64 x (.f64 y y)) (.f64 -18 (/.f64 (*.f64 x x) (pow.f64 y 3)))) (/.f64 2 y))
(fma.f64 -6 (/.f64 x (.f64 y y)) (fma.f64 -18 (/.f64 (.f64 x x) (pow.f64 y 3)) (/.f64 -2 y)))
(-.f64 (+.f64 (.f64 -6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 -54 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (.f64 -18 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))) (.f64 2 (/.f64 1 y)))
(-.f64 (fma.f64 -6 (/.f64 x (.f64 y y)) (fma.f64 -54 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (.f64 -18 (/.f64 (*.f64 x x) (pow.f64 y 3))))) (/.f64 2 y))
(+.f64 (fma.f64 -6 (/.f64 x (.f64 y y)) (fma.f64 -54 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 (.f64 -18 (*.f64 x x)) (pow.f64 y 3)))) (/.f64 -2 y))
(/.f64 2/3 x)
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (.f64 2/3 (/.f64 1 x)))
(fma.f64 2/9 (/.f64 y (*.f64 x x)) (/.f64 2/3 x))
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 2/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 2/3 (/.f64 1 x))))
(fma.f64 2/9 (/.f64 y (.f64 x x)) (fma.f64 2/27 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 2/3 x)))
(fma.f64 2/9 (/.f64 y (*.f64 x x)) (fma.f64 2/27 (/.f64 y (/.f64 (pow.f64 x 3) y)) (/.f64 2/3 x)))
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 2/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 2/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x)))))
(fma.f64 2/9 (/.f64 y (.f64 x x)) (fma.f64 2/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 2/27 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 2/3 x))))
(fma.f64 2/9 (/.f64 y (*.f64 x x)) (fma.f64 2/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 2/27 (/.f64 y (/.f64 (pow.f64 x 3) y)) (/.f64 2/3 x))))
(/.f64 2/3 x)
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (.f64 2/3 (/.f64 1 x)))
(fma.f64 2/9 (/.f64 y (*.f64 x x)) (/.f64 2/3 x))
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 2/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 2/3 (/.f64 1 x))))
(fma.f64 2/9 (/.f64 y (.f64 x x)) (fma.f64 2/27 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 2/3 x)))
(fma.f64 2/9 (/.f64 y (*.f64 x x)) (fma.f64 2/27 (/.f64 y (/.f64 (pow.f64 x 3) y)) (/.f64 2/3 x)))
(+.f64 (.f64 2/9 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 2/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 2/27 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 2/3 (/.f64 1 x)))))
(fma.f64 2/9 (/.f64 y (.f64 x x)) (fma.f64 2/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 2/27 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 2/3 x))))
(fma.f64 2/9 (/.f64 y (*.f64 x x)) (fma.f64 2/81 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 2/27 (/.f64 y (/.f64 (pow.f64 x 3) y)) (/.f64 2/3 x))))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 x (.f64 x -9/4))
(.f64 -9/4 (.f64 x x))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(*.f64 1/4 (pow.f64 y 2))
(.f64 1/4 (.f64 y y))
(.f64 y (.f64 y 1/4))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(*.f64 1/4 (pow.f64 y 2))
(.f64 1/4 (.f64 y y))
(.f64 y (.f64 y 1/4))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(*.f64 1/4 (pow.f64 y 2))
(.f64 1/4 (.f64 y y))
(.f64 y (.f64 y 1/4))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 x (.f64 x -9/4))
(.f64 -9/4 (.f64 x x))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(*.f64 -9/4 (pow.f64 x 2))
(.f64 x (.f64 x -9/4))
(.f64 -9/4 (.f64 x x))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(+.f64 (.f64 1/4 (pow.f64 y 2)) (.f64 -9/4 (pow.f64 x 2)))
(fma.f64 y (.f64 y 1/4) (.f64 x (*.f64 x -9/4)))
(fma.f64 y (.f64 y 1/4) (.f64 -9/4 (*.f64 x x)))
(*.f64 3/2 x)
(*.f64 x 3/2)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 x 3/2))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 x 3/2))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 x 3/2))
(*.f64 -1/2 y)
(*.f64 y -1/2)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 x 3/2))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 x 3/2))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 x 3/2))
(*.f64 -1/2 y)
(*.f64 y -1/2)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 x 3/2))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 x 3/2))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 x 3/2))
(*.f64 -1/2 y)
(*.f64 y -1/2)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 x 3/2))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 x 3/2))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 x 3/2))
(*.f64 3/2 x)
(*.f64 x 3/2)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 x 3/2))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 x 3/2))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 y -1/2 (*.f64 x 3/2))
(*.f64 3/2 x)
(*.f64 x 3/2)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
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(fma.f64 (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2) (cbrt.f64 (.f64 y -1/2)) (*.f64 -3/2 x))
(fma.f64 y -1/2 (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2) (cbrt.f64 (.f64 y -1/2)) (neg.f64 (*.f64 -3/2 x)))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) -1/2) (neg.f64 (.f64 -3/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 -1/2 (cbrt.f64 y)) (.f64 x 3/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -3/2 x)) 2) (cbrt.f64 (.f64 -3/2 x)) (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 y -1/2))
(fma.f64 (cbrt.f64 (.f64 y -1/2)) (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2) (neg.f64 (*.f64 -3/2 x)))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y 1/4)) (neg.f64 (.f64 -3/2 x)))
(fma.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y 1/4)) (.f64 x 3/2))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) -1/2) (neg.f64 (.f64 -3/2 x)))
(fma.f64 (sqrt.f64 y) (.f64 -1/2 (sqrt.f64 y)) (.f64 x 3/2))
(fma.f64 1/2 y (neg.f64 (*.f64 -3/2 x)))
(fma.f64 y 1/2 (*.f64 x 3/2))
(fma.f64 (sqrt.f64 (.f64 -3/2 x)) (sqrt.f64 (.f64 -3/2 x)) (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 y -1/2))
(fma.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 y -1/2)) (*.f64 -3/2 x))
(fma.f64 y -1/2 (*.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 y -1/2))
(fma.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 y -1/2)) (neg.f64 (*.f64 -3/2 x)))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/16))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2)) (neg.f64 (*.f64 -3/2 x)))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/16))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y -1/2)) 2)) (*.f64 x 3/2))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/16))) (fabs.f64 (cbrt.f64 (.f64 y -1/2))) (*.f64 x 3/2))
(fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 (.f64 -3/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 -1/2 (cbrt.f64 y)) (.f64 x 3/2))
(fma.f64 (.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (.f64 -3/2 x)))
(fma.f64 (sqrt.f64 y) (.f64 -1/2 (sqrt.f64 y)) (.f64 x 3/2))
(+.f64 0 (.f64 x (.f64 x 9/4)))
(.f64 x (.f64 x 9/4))
(+.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 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 9/4)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.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 2 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/4))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 9/4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 9/4)))) 1)
(.f64 x (.f64 x 9/4))
(pow.f64 (*.f64 -3/2 x) 2)
(.f64 x (.f64 x 9/4))
(pow.f64 (.f64 x (.f64 x 9/4)) 1)
(.f64 x (.f64 x 9/4))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 -3/2 x)) 2) 3)
(.f64 x (.f64 x 9/4))
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 729/64) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 729/64))
(cbrt.f64 (*.f64 (pow.f64 x 6) 729/64))
(sqrt.f64 (*.f64 (pow.f64 x 4) 81/16))
(fabs.f64 (.f64 -9/4 (.f64 x x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/4))
(*.f64 9/4 (log.f64 (pow.f64 (exp.f64 x) x)))
(.f64 9/4 (log.f64 (exp.f64 (.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 9/4)))))
(.f64 x (.f64 x 9/4))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 729/64))
(cbrt.f64 (*.f64 (pow.f64 x 6) 729/64))
(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 -3/2 x))))
(.f64 x (.f64 x 9/4))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 -3/2 x))) 1))
(.f64 x (.f64 x 9/4))

localize34.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (.f64 -1/2 y) (.f64 3/2 x))
	0.2b	(.f64 -9/4 (.f64 x x))
✓	16.8b	(/.f64 (.f64 -9/4 (.f64 x x)) (-.f64 (.f64 -1/2 y) (.f64 3/2 x)))

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 -1/2 y) (.f64 3/2 x)))
1.0ms	y	@	inf	(/.f64 (.f64 -9/4 (.f64 x x)) (-.f64 (.f64 -1/2 y) (.f64 3/2 x)))
0.0ms	y	@	-inf	(/.f64 (.f64 -9/4 (.f64 x x)) (-.f64 (.f64 -1/2 y) (.f64 3/2 x)))
0.0ms	y	@	0	(/.f64 (.f64 -9/4 (.f64 x x)) (-.f64 (.f64 -1/2 y) (.f64 3/2 x)))
0.0ms	x	@	inf	(/.f64 (.f64 -9/4 (.f64 x x)) (-.f64 (.f64 -1/2 y) (.f64 3/2 x)))

rewrite55.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`log-prod_binary64`
399×	`fma-def_binary64`
337×	`pow2_binary64`
233×	`pow1/3_binary64`
233×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	275	17
2	3696	17

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y)))))) 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)) (*.f64 x x))))))) (#(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 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -9/4 (/.f64 (*.f64 x x) (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 (cbrt.f64 (*.f64 81/16 (pow.f64 x 4))) (*.f64 (cbrt.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 (cbrt.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))) (pow.f64 (cbrt.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))) 2) (cbrt.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 -9/4)) (*.f64 (*.f64 x (sqrt.f64 -9/4)) (/.f64 1 (fma.f64 x -3/2 (*.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 3/2) (sqrt.f64 (neg.f64 (fma.f64 x -3/2 (*.f64 -1/2 y))))) (/.f64 (*.f64 x 3/2) (sqrt.f64 (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 (cbrt.f64 (*.f64 81/16 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 -9/4 (*.f64 x x))) (fma.f64 x -3/2 (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 -9/4)) 1) (/.f64 (*.f64 x (sqrt.f64 -9/4)) (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 (pow.f64 (cbrt.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) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (cbrt.f64 (*.f64 81/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (fma.f64 x -3/2 (*.f64 -1/2 y))) 2)) (cbrt.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 -9/4)) (pow.f64 (cbrt.f64 (fma.f64 x -3/2 (*.f64 -1/2 y))) 2)) (/.f64 (*.f64 x (sqrt.f64 -9/4)) (cbrt.f64 (fma.f64 x -3/2 (*.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -9/4 x) (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 (/.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 (/.f64 1 (sqrt.f64 (fma.f64 x -3/2 (*.f64 -1/2 y)))) (/.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 (cbrt.f64 (*.f64 81/16 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x -3/2 (*.f64 -1/2 y)))) (/.f64 (cbrt.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 (*.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)) (-.f64 (*.f64 -1/8 (pow.f64 y 3)) (*.f64 27/8 (pow.f64 x 3)))) (fma.f64 (*.f64 x 3/2) (fma.f64 -1/2 y (*.f64 x 3/2)) (*.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -9/4 (*.f64 x x)) (fma.f64 1/4 (*.f64 y y) (neg.f64 (*.f64 (*.f64 x x) 9/4)))) (fma.f64 -1/2 y (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 81/16 (pow.f64 x 4)) (pow.f64 (fma.f64 x -3/2 (*.f64 -1/2 y)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 3/2) (sqrt.f64 (neg.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)) (*.f64 -9/4 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 -9/4 (*.f64 x x)) 3) (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)) (*.f64 -9/4 (*.f64 x x))) 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 (/.f64 (*.f64 81/16 (pow.f64 x 4)) (pow.f64 (fma.f64 x -3/2 (*.f64 -1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -9/4 (*.f64 x x)) 3) (pow.f64 (fma.f64 x -3/2 (*.f64 -1/2 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))) 1))))))

simplify49.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

557×	`associate-/r*_binary64`
491×	`fma-def_binary64`
391×	`*-commutative_binary64`
359×	`associate-/l/_binary64`
331×	`associate-/r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	203	1741
1	562	1705
2	2259	1705

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

Outputs
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(.f64 9/2 (/.f64 (.f64 x x) y))
(*.f64 9/2 (/.f64 x (/.f64 y 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 9/2 (/.f64 x (/.f64 y 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 9/2 (/.f64 x (/.f64 y x)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (/.f64 (.f64 81/2 (pow.f64 x 4)) (pow.f64 y 3))))
(+.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 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 9/2 (/.f64 x (/.f64 y x)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (/.f64 (.f64 -243/2 (pow.f64 x 5)) (pow.f64 y 4)))))
(*.f64 3/2 x)
(*.f64 x 3/2)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.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 1/6 (.f64 y y)) x)))
(fma.f64 x 3/2 (fma.f64 y -1/2 (/.f64 1/6 (/.f64 x (*.f64 y y)))))
(+.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 x 3/2 (fma.f64 1/6 (.f64 (/.f64 y x) y) (.f64 (/.f64 -1/18 (*.f64 x x)) (pow.f64 y 3)))))
(*.f64 3/2 x)
(*.f64 x 3/2)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.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 1/6 (.f64 y y)) x)))
(fma.f64 x 3/2 (fma.f64 y -1/2 (/.f64 1/6 (/.f64 x (*.f64 y y)))))
(+.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 x 3/2 (fma.f64 1/6 (.f64 (/.f64 y x) y) (.f64 (/.f64 -1/18 (*.f64 x x)) (pow.f64 y 3)))))
(*.f64 3/2 x)
(*.f64 x 3/2)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.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 1/6 (.f64 y y)) x)))
(fma.f64 x 3/2 (fma.f64 y -1/2 (/.f64 1/6 (/.f64 x (*.f64 y y)))))
(+.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 x 3/2 (fma.f64 1/6 (.f64 (/.f64 y x) y) (.f64 (/.f64 -1/18 (*.f64 x x)) (pow.f64 y 3)))))
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(.f64 9/2 (/.f64 (.f64 x x) y))
(*.f64 9/2 (/.f64 x (/.f64 y 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 9/2 (/.f64 x (/.f64 y 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 9/2 (/.f64 x (/.f64 y x)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (/.f64 (.f64 81/2 (pow.f64 x 4)) (pow.f64 y 3))))
(+.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 81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 9/2 (/.f64 x (/.f64 y x)) (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (.f64 y y)) (/.f64 (.f64 -243/2 (pow.f64 x 5)) (pow.f64 y 4)))))
(*.f64 9/2 (/.f64 (pow.f64 x 2) y))
(.f64 9/2 (/.f64 (.f64 x x) y))
(*.f64 9/2 (/.f64 x (/.f64 y 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 9/2 (/.f64 x (/.f64 y x))))
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(.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 (.f64 x x) (fma.f64 x -3/2 (*.f64 y -1/2))))
(/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 x -3/2 (*.f64 y -1/2)))
(/.f64 -9/4 (/.f64 (fma.f64 x -3/2 (.f64 y -1/2)) (.f64 x x)))
(.f64 (/.f64 (.f64 -9/4 (.f64 x x)) (-.f64 (.f64 -1/8 (pow.f64 y 3)) (.f64 27/8 (pow.f64 x 3)))) (fma.f64 (.f64 x 3/2) (fma.f64 -1/2 y (.f64 x 3/2)) (.f64 1/4 (*.f64 y y))))
(/.f64 (.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 (.f64 x 3/2) (fma.f64 -1/2 y (.f64 x 3/2)) (.f64 1/4 (.f64 y y)))) (+.f64 (.f64 (pow.f64 y 3) -1/8) (*.f64 -27/8 (pow.f64 x 3))))
(/.f64 (.f64 -9/4 (fma.f64 (.f64 x 3/2) (fma.f64 x 3/2 (.f64 y -1/2)) (.f64 y (.f64 y 1/4)))) (/.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) -27/8)) (*.f64 x x)))
(/.f64 (.f64 x (.f64 x -9/4)) (/.f64 (fma.f64 (pow.f64 y 3) -1/8 (.f64 (pow.f64 x 3) -27/8)) (fma.f64 y (.f64 y 1/4) (.f64 (.f64 x 3/2) (fma.f64 x 3/2 (*.f64 y -1/2))))))
(.f64 (/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 1/4 (.f64 y y) (neg.f64 (.f64 (.f64 x x) 9/4)))) (fma.f64 -1/2 y (*.f64 x 3/2)))
(.f64 (fma.f64 -1/2 y (.f64 x 3/2)) (/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 1/4 (.f64 y y) (.f64 -9/4 (*.f64 x x)))))
(.f64 (fma.f64 x 3/2 (.f64 y -1/2)) (.f64 (/.f64 -9/4 (fma.f64 1/4 (.f64 y y) (.f64 -9/4 (.f64 x x)))) (*.f64 x x)))
(.f64 (fma.f64 x 3/2 (.f64 y -1/2)) (.f64 (.f64 x x) (/.f64 -9/4 (fma.f64 x (.f64 x -9/4) (.f64 y (*.f64 y 1/4))))))
(pow.f64 (.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y)))) 1)
(.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 y -1/2))))
(/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 x -3/2 (*.f64 y -1/2)))
(/.f64 -9/4 (/.f64 (fma.f64 x -3/2 (.f64 y -1/2)) (.f64 x x)))
(pow.f64 (/.f64 (.f64 81/16 (pow.f64 x 4)) (pow.f64 (fma.f64 x -3/2 (.f64 -1/2 y)) 2)) 1/2)
(sqrt.f64 (/.f64 (.f64 (pow.f64 x 4) 81/16) (pow.f64 (fma.f64 x -3/2 (.f64 y -1/2)) 2)))
(sqrt.f64 (.f64 (/.f64 81/16 (pow.f64 (fma.f64 x -3/2 (.f64 y -1/2)) 2)) (pow.f64 x 4)))
(sqrt.f64 (.f64 (pow.f64 x 4) (/.f64 81/16 (pow.f64 (fma.f64 x -3/2 (.f64 y -1/2)) 2))))
(pow.f64 (pow.f64 (.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y)))) 3) 1/3)
(.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 y -1/2))))
(/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 x -3/2 (*.f64 y -1/2)))
(/.f64 -9/4 (/.f64 (fma.f64 x -3/2 (.f64 y -1/2)) (.f64 x x)))
(pow.f64 (cbrt.f64 (.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))) 3)
(.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 y -1/2))))
(/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 x -3/2 (*.f64 y -1/2)))
(/.f64 -9/4 (/.f64 (fma.f64 x -3/2 (.f64 y -1/2)) (.f64 x x)))
(pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (neg.f64 (fma.f64 x -3/2 (.f64 -1/2 y))))) 2)
(pow.f64 (/.f64 (.f64 x 3/2) (sqrt.f64 (neg.f64 (fma.f64 x -3/2 (.f64 y -1/2))))) 2)
(pow.f64 (.f64 (/.f64 x (sqrt.f64 (neg.f64 (fma.f64 x -3/2 (.f64 y -1/2))))) 3/2) 2)
(pow.f64 (.f64 3/2 (/.f64 x (sqrt.f64 (+.f64 (.f64 x 3/2) (*.f64 y 1/2))))) 2)
(pow.f64 (/.f64 (fma.f64 x -3/2 (.f64 -1/2 y)) (.f64 -9/4 (*.f64 x x))) -1)
(.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 y -1/2))))
(/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 x -3/2 (*.f64 y -1/2)))
(/.f64 -9/4 (/.f64 (fma.f64 x -3/2 (.f64 y -1/2)) (.f64 x x)))
(pow.f64 (/.f64 (pow.f64 (.f64 -9/4 (.f64 x x)) 3) (pow.f64 (fma.f64 x -3/2 (*.f64 -1/2 y)) 3)) 1/3)
(.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 y -1/2))))
(/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 x -3/2 (*.f64 y -1/2)))
(/.f64 -9/4 (/.f64 (fma.f64 x -3/2 (.f64 y -1/2)) (.f64 x x)))
(pow.f64 (/.f64 (/.f64 (fma.f64 x -3/2 (.f64 -1/2 y)) (.f64 -9/4 (*.f64 x x))) 1) -1)
(.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 y -1/2))))
(/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 x -3/2 (*.f64 y -1/2)))
(/.f64 -9/4 (/.f64 (fma.f64 x -3/2 (.f64 y -1/2)) (.f64 x x)))
(neg.f64 (/.f64 (.f64 -9/4 (.f64 x x)) (neg.f64 (fma.f64 x -3/2 (*.f64 -1/2 y)))))
(.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 y -1/2))))
(/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 x -3/2 (*.f64 y -1/2)))
(/.f64 -9/4 (/.f64 (fma.f64 x -3/2 (.f64 y -1/2)) (.f64 x x)))
(sqrt.f64 (/.f64 (.f64 81/16 (pow.f64 x 4)) (pow.f64 (fma.f64 x -3/2 (.f64 -1/2 y)) 2)))
(sqrt.f64 (/.f64 (.f64 (pow.f64 x 4) 81/16) (pow.f64 (fma.f64 x -3/2 (.f64 y -1/2)) 2)))
(sqrt.f64 (.f64 (/.f64 81/16 (pow.f64 (fma.f64 x -3/2 (.f64 y -1/2)) 2)) (pow.f64 x 4)))
(sqrt.f64 (.f64 (pow.f64 x 4) (/.f64 81/16 (pow.f64 (fma.f64 x -3/2 (.f64 y -1/2)) 2))))
(log.f64 (exp.f64 (.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))))
(.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 y -1/2))))
(/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 x -3/2 (*.f64 y -1/2)))
(/.f64 -9/4 (/.f64 (fma.f64 x -3/2 (.f64 y -1/2)) (.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y)))))))
(.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 y -1/2))))
(/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 x -3/2 (*.f64 y -1/2)))
(/.f64 -9/4 (/.f64 (fma.f64 x -3/2 (.f64 y -1/2)) (.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y)))) 3))
(.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 y -1/2))))
(/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 x -3/2 (*.f64 y -1/2)))
(/.f64 -9/4 (/.f64 (fma.f64 x -3/2 (.f64 y -1/2)) (.f64 x x)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 -9/4 (.f64 x x)) 3) (pow.f64 (fma.f64 x -3/2 (*.f64 -1/2 y)) 3)))
(.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 y -1/2))))
(/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 x -3/2 (*.f64 y -1/2)))
(/.f64 -9/4 (/.f64 (fma.f64 x -3/2 (.f64 y -1/2)) (.f64 x x)))
(expm1.f64 (log1p.f64 (.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))))
(.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 y -1/2))))
(/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 x -3/2 (*.f64 y -1/2)))
(/.f64 -9/4 (/.f64 (fma.f64 x -3/2 (.f64 y -1/2)) (.f64 x x)))
(log1p.f64 (expm1.f64 (.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))))
(.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 y -1/2))))
(/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 x -3/2 (*.f64 y -1/2)))
(/.f64 -9/4 (/.f64 (fma.f64 x -3/2 (.f64 y -1/2)) (.f64 x x)))
(exp.f64 (log.f64 (.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 -1/2 y))))))
(.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 y -1/2))))
(/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 x -3/2 (*.f64 y -1/2)))
(/.f64 -9/4 (/.f64 (fma.f64 x -3/2 (.f64 y -1/2)) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (.f64 -1/2 y))))) 1))
(.f64 -9/4 (/.f64 (.f64 x x) (fma.f64 x -3/2 (*.f64 y -1/2))))
(/.f64 (.f64 -9/4 (.f64 x x)) (fma.f64 x -3/2 (*.f64 y -1/2)))
(/.f64 -9/4 (/.f64 (fma.f64 x -3/2 (.f64 y -1/2)) (.f64 x x)))

eval417.0ms (11.4%)

Compiler: Compiled 17923 to 12659 computations (29.4% saved)

prune160.0ms (4.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	774	2	776
Fresh	0	0	0
Picked	1	0	1
Done	2	4	6
Total	777	6	783

Error

Counts

783 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 3/2 x (*.f64 -1/2 y))
▶	46.3b	(/.f64 (.f64 -9/4 (.f64 x x)) (*.f64 x -3/2))
▶	31.8b	(/.f64 1 (/.f64 2/3 x))
✓	0.1b	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
✓	31.7b	(*.f64 3/2 x)
✓	31.5b	(*.f64 -1/2 y)

Compiler

Compiled 45 to 35 computations (22.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 2/3 x))
✓	0.4b	(/.f64 2/3 x)

Compiler

Compiled 13 to 10 computations (23.1% saved)

series2.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite41.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`pow1_binary64`
520×	`add-log-exp_binary64`
520×	`log1p-expm1-u_binary64`
520×	`expm1-log1p-u_binary64`
510×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	129	8
2	1505	8

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(/.f64 2/3 x)
(/.f64 1 (/.f64 2/3 x))

Outputs

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

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

simplify40.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

645×	`fma-def_binary64`
582×	`distribute-rgt-in_binary64`
486×	`log-prod_binary64`
358×	`unswap-sqr_binary64`
272×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	351
1	223	294
2	794	237
3	3949	234

Stop Event

1×	node limit

Counts

58 → 51

Calls

Call 1

Inputs
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(-.f64 (+.f64 1 (/.f64 2/3 x)) 1)
(*.f64 2/3 (/.f64 1 x))
(*.f64 (/.f64 2/3 x) 1)
(*.f64 1 (/.f64 2/3 x))
(*.f64 (cbrt.f64 (/.f64 2/3 x)) (pow.f64 (cbrt.f64 (/.f64 2/3 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2/3 x)) 2) (cbrt.f64 (/.f64 2/3 x)))
(*.f64 (sqrt.f64 (/.f64 2/3 x)) (sqrt.f64 (/.f64 2/3 x)))
(*.f64 -2/3 (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) 2/3)
(pow.f64 (/.f64 2/3 x) 1)
(pow.f64 (*.f64 x 3/2) -1)
(pow.f64 (pow.f64 (/.f64 2/3 x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 2/3 x)) 3)
(pow.f64 (sqrt.f64 (/.f64 2/3 x)) 2)
(sqrt.f64 (/.f64 4/9 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 2/3 x)))
(cbrt.f64 (pow.f64 (/.f64 2/3 x) 3))
(expm1.f64 (log1p.f64 (/.f64 2/3 x)))
(log1p.f64 (expm1.f64 (/.f64 2/3 x)))
(exp.f64 (log.f64 (/.f64 2/3 x)))
(-.f64 (+.f64 1 (*.f64 x 3/2)) 1)
(*.f64 x 3/2)
(.f64 1 (.f64 x 3/2))
(.f64 (.f64 x 3/2) 1)
(.f64 (cbrt.f64 (.f64 x 3/2)) (cbrt.f64 (.f64 9/4 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 9/4 (.f64 x x))) (cbrt.f64 (.f64 x 3/2)))
(.f64 (sqrt.f64 (.f64 x 3/2)) (sqrt.f64 (*.f64 x 3/2)))
(*.f64 -1 (/.f64 1 (/.f64 -2/3 x)))
(*.f64 3/2 x)
(*.f64 3/2 (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 2/3 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 2/3 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2/3 x)) -1) (pow.f64 (sqrt.f64 (/.f64 2/3 x)) -1))
(*.f64 -3/2 (neg.f64 x))
(.f64 (.f64 3/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 3/2 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 2/3 x) -1)
(pow.f64 (*.f64 x 3/2) 1)
(pow.f64 (pow.f64 (*.f64 x 3/2) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 3/2)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 3/2)) 2)
(sqrt.f64 (.f64 9/4 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 3/2) x))
(cbrt.f64 (pow.f64 (*.f64 x 3/2) 3))
(expm1.f64 (log1p.f64 (*.f64 x 3/2)))
(log1p.f64 (expm1.f64 (*.f64 x 3/2)))
(exp.f64 (log.f64 (*.f64 x 3/2)))

Outputs
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(-.f64 (+.f64 1 (/.f64 2/3 x)) 1)
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(*.f64 2/3 (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(*.f64 (/.f64 2/3 x) 1)
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(*.f64 1 (/.f64 2/3 x))
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(*.f64 (cbrt.f64 (/.f64 2/3 x)) (pow.f64 (cbrt.f64 (/.f64 2/3 x)) 2))
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2/3 x)) 2) (cbrt.f64 (/.f64 2/3 x)))
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(*.f64 (sqrt.f64 (/.f64 2/3 x)) (sqrt.f64 (/.f64 2/3 x)))
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(*.f64 -2/3 (/.f64 1 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(*.f64 (/.f64 1 x) 2/3)
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(pow.f64 (/.f64 2/3 x) 1)
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(pow.f64 (*.f64 x 3/2) -1)
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(pow.f64 (pow.f64 (/.f64 2/3 x) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(pow.f64 (cbrt.f64 (/.f64 2/3 x)) 3)
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(pow.f64 (sqrt.f64 (/.f64 2/3 x)) 2)
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(sqrt.f64 (/.f64 4/9 (*.f64 x x)))
(sqrt.f64 (pow.f64 (/.f64 2/3 x) 2))
(fabs.f64 (/.f64 2/3 x))
(log.f64 (exp.f64 (/.f64 2/3 x)))
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(cbrt.f64 (pow.f64 (/.f64 2/3 x) 3))
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(expm1.f64 (log1p.f64 (/.f64 2/3 x)))
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(log1p.f64 (expm1.f64 (/.f64 2/3 x)))
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(exp.f64 (log.f64 (/.f64 2/3 x)))
(+.f64 1 (-.f64 (/.f64 2/3 x) 1))
(+.f64 (/.f64 2/3 x) 0)
(/.f64 2/3 x)
(-.f64 (+.f64 1 (*.f64 x 3/2)) 1)
(*.f64 3/2 x)
(*.f64 x 3/2)
(*.f64 3/2 x)
(.f64 1 (.f64 x 3/2))
(*.f64 3/2 x)
(.f64 (.f64 x 3/2) 1)
(*.f64 3/2 x)
(.f64 (cbrt.f64 (.f64 x 3/2)) (cbrt.f64 (.f64 9/4 (.f64 x x))))
(*.f64 3/2 x)
(.f64 (cbrt.f64 (.f64 9/4 (.f64 x x))) (cbrt.f64 (.f64 x 3/2)))
(*.f64 3/2 x)
(.f64 (sqrt.f64 (.f64 x 3/2)) (sqrt.f64 (*.f64 x 3/2)))
(*.f64 3/2 x)
(*.f64 -1 (/.f64 1 (/.f64 -2/3 x)))
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 (pow.f64 (/.f64 1 x) -1))
(*.f64 3/2 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 2/3 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 2/3 x)) -1))
(*.f64 3/2 x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 2/3 x)) -1) (pow.f64 (sqrt.f64 (/.f64 2/3 x)) -1))
(*.f64 3/2 x)
(*.f64 -3/2 (neg.f64 x))
(*.f64 3/2 x)
(.f64 (.f64 3/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 3/2 x)
(.f64 (.f64 3/2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 3/2 x)
(pow.f64 (/.f64 2/3 x) -1)
(*.f64 3/2 x)
(pow.f64 (*.f64 x 3/2) 1)
(*.f64 3/2 x)
(pow.f64 (pow.f64 (*.f64 x 3/2) 3) 1/3)
(*.f64 3/2 x)
(pow.f64 (cbrt.f64 (*.f64 x 3/2)) 3)
(*.f64 3/2 x)
(pow.f64 (sqrt.f64 (*.f64 x 3/2)) 2)
(*.f64 3/2 x)
(sqrt.f64 (.f64 9/4 (.f64 x x)))
(*.f64 3/2 x)
(log.f64 (pow.f64 (exp.f64 3/2) x))
(*.f64 3/2 x)
(cbrt.f64 (pow.f64 (*.f64 x 3/2) 3))
(*.f64 3/2 x)
(expm1.f64 (log1p.f64 (*.f64 x 3/2)))
(*.f64 3/2 x)
(log1p.f64 (expm1.f64 (*.f64 x 3/2)))
(*.f64 3/2 x)
(exp.f64 (log.f64 (*.f64 x 3/2)))
(*.f64 3/2 x)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 -9/4 (.f64 x x))
✓	28.4b	(/.f64 (.f64 -9/4 (.f64 x x)) (*.f64 x -3/2))

Compiler

Compiled 25 to 14 computations (44% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

963×	`pow1_binary64`
910×	`add-log-exp_binary64`
910×	`log1p-expm1-u_binary64`
910×	`expm1-log1p-u_binary64`
88×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	176	10
2	2442	10

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/4 (/.f64 (*.f64 x x) (*.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/4 (/.f64 1 (*.f64 -3/2 (/.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/4 (*.f64 (*.f64 x x) (/.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 -9/4 (/.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -9/4 (*.f64 x x)) (/.f64 -2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3/2 (/.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x))) (pow.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x))) 2) (cbrt.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 81/16 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 -9/4 (*.f64 x x))) (/.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -3/2) (sqrt.f64 (*.f64 x 3/2))) (/.f64 (*.f64 x -3/2) (sqrt.f64 (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 -9/4)) (*.f64 (*.f64 x (sqrt.f64 -9/4)) (/.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 9/4) (/.f64 1 (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/4 x) (/.f64 x (/.f64 -3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 -3/2 x)) (/.f64 -9/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/3 x) (*.f64 -9/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -9/4 (/.f64 (*.f64 x x) x)) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -9/4 x) (*.f64 x (/.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (*.f64 -9/4 (*.f64 x x)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) x) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 81/16 (pow.f64 x 4))) x) (/.f64 (cbrt.f64 (*.f64 -9/4 (*.f64 x x))) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 -9/4)) x) (/.f64 (*.f64 x (sqrt.f64 -9/4)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 -9/4)) -3/2) (/.f64 (*.f64 x (sqrt.f64 -9/4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -9/4 x) x) (/.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/3 (*.f64 -9/4 (/.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 81/16 (pow.f64 x 4))) -3/2) (/.f64 (cbrt.f64 (*.f64 -9/4 (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -9/4 x) -3/2) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 -9/4 (*.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/4 (*.f64 x -3/2)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 81/16 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 -9/4 (*.f64 x x))) (*.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 -9/4)) 1) (/.f64 (*.f64 x (sqrt.f64 -9/4)) (*.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -9/4 x) 1) (/.f64 x (*.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (*.f64 x -3/2)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x -3/2)) 2)) (/.f64 -9/4 (cbrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x -3/2)) 2)) (/.f64 (*.f64 -9/4 (*.f64 x x)) (cbrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 81/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x -3/2)) 2)) (cbrt.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 -9/4)) (pow.f64 (cbrt.f64 (*.f64 x -3/2)) 2)) (/.f64 (*.f64 x (sqrt.f64 -9/4)) (cbrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -9/4 x) (pow.f64 (cbrt.f64 (*.f64 x -3/2)) 2)) (/.f64 x (cbrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/4 (sqrt.f64 (*.f64 x -3/2))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -3/2))) (/.f64 -9/4 (sqrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x -3/2))) (/.f64 (*.f64 -9/4 (*.f64 x x)) (sqrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 81/16 (pow.f64 x 4))) (sqrt.f64 (*.f64 x -3/2))) (/.f64 (cbrt.f64 (*.f64 -9/4 (*.f64 x x))) (sqrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -9/4 x) (sqrt.f64 (*.f64 x -3/2))) (/.f64 x (sqrt.f64 (*.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x -3/2) (sqrt.f64 (*.f64 x 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (*.f64 x x)) 2/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -9/4 (*.f64 x x)) (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -9/4 (*.f64 x x)) 3) (pow.f64 (*.f64 x -3/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/2 (/.f64 (*.f64 x x) x))))))))

simplify46.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

765×	`log-prod_binary64`
606×	`associate-/r/_binary64`
491×	`fma-def_binary64`
389×	`cube-prod_binary64`
298×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	162	639
1	478	636
2	1772	636
3	4816	636

Stop Event

1×	node limit

Counts

71 → 79

Calls

Call 1

Inputs
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(-.f64 (exp.f64 (log1p.f64 (.f64 3/2 (/.f64 (.f64 x x) x)))) 1)
(.f64 -9/4 (/.f64 (.f64 x x) (*.f64 x -3/2)))
(.f64 -9/4 (/.f64 1 (.f64 -3/2 (/.f64 x (*.f64 x x)))))
(.f64 -9/4 (.f64 (*.f64 x x) (/.f64 -2/3 x)))
(.f64 (.f64 x x) (*.f64 -9/4 (/.f64 -2/3 x)))
(.f64 (.f64 -9/4 (*.f64 x x)) (/.f64 -2/3 x))
(.f64 (.f64 3/2 (/.f64 (*.f64 x x) x)) 1)
(.f64 1 (.f64 3/2 (/.f64 (*.f64 x x) x)))
(.f64 (cbrt.f64 (.f64 3/2 (/.f64 (.f64 x x) x))) (pow.f64 (cbrt.f64 (.f64 3/2 (/.f64 (*.f64 x x) x))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 3/2 (/.f64 (.f64 x x) x))) 2) (cbrt.f64 (.f64 3/2 (/.f64 (*.f64 x x) x))))
(.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (.f64 (cbrt.f64 (.f64 -9/4 (*.f64 x x))) (/.f64 -2/3 x)))
(.f64 (/.f64 (.f64 x -3/2) (sqrt.f64 (.f64 x 3/2))) (/.f64 (.f64 x -3/2) (sqrt.f64 (*.f64 x 3/2))))
(.f64 (.f64 x (sqrt.f64 -9/4)) (.f64 (.f64 x (sqrt.f64 -9/4)) (/.f64 -2/3 x)))
(.f64 (.f64 (.f64 x x) 9/4) (/.f64 1 (.f64 x 3/2)))
(*.f64 (/.f64 -9/4 x) (/.f64 x (/.f64 -3/2 x)))
(*.f64 (/.f64 x (/.f64 -3/2 x)) (/.f64 -9/4 x))
(.f64 (/.f64 -2/3 x) (.f64 -9/4 (*.f64 x x)))
(.f64 (.f64 -9/4 (/.f64 (*.f64 x x) x)) -2/3)
(.f64 (.f64 -9/4 x) (*.f64 x (/.f64 -2/3 x)))
(.f64 3/2 (/.f64 (.f64 x x) x))
(.f64 (/.f64 1 x) (/.f64 (.f64 -9/4 (*.f64 x x)) -3/2))
(.f64 (/.f64 (.f64 x x) x) 3/2)
(.f64 (/.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) x) (/.f64 (cbrt.f64 (.f64 -9/4 (.f64 x x))) -3/2))
(.f64 (/.f64 (.f64 x (sqrt.f64 -9/4)) x) (/.f64 (*.f64 x (sqrt.f64 -9/4)) -3/2))
(.f64 (/.f64 (.f64 x (sqrt.f64 -9/4)) -3/2) (/.f64 (*.f64 x (sqrt.f64 -9/4)) x))
(.f64 (/.f64 (.f64 -9/4 x) x) (/.f64 x -3/2))
(.f64 -2/3 (.f64 -9/4 (/.f64 (*.f64 x x) x)))
(.f64 (/.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) -3/2) (/.f64 (cbrt.f64 (.f64 -9/4 (.f64 x x))) x))
(.f64 (/.f64 (.f64 -9/4 x) -3/2) (/.f64 x x))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 -9/4 (*.f64 x -3/2)))
(.f64 (/.f64 -9/4 (.f64 x -3/2)) (*.f64 x x))
(.f64 (/.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (.f64 -9/4 (.f64 x x))) (*.f64 x -3/2)))
(.f64 (/.f64 (.f64 x (sqrt.f64 -9/4)) 1) (/.f64 (.f64 x (sqrt.f64 -9/4)) (.f64 x -3/2)))
(.f64 (/.f64 (.f64 -9/4 x) 1) (/.f64 x (*.f64 x -3/2)))
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (/.f64 -9/4 (cbrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (/.f64 (.f64 -9/4 (.f64 x x)) (cbrt.f64 (*.f64 x -3/2))))
(.f64 (/.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (cbrt.f64 (.f64 3/2 (/.f64 (*.f64 x x) x))))
(.f64 (/.f64 (.f64 x (sqrt.f64 -9/4)) (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (/.f64 (.f64 x (sqrt.f64 -9/4)) (cbrt.f64 (*.f64 x -3/2))))
(.f64 (/.f64 (.f64 -9/4 x) (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (/.f64 x (cbrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 -9/4 (sqrt.f64 (.f64 x -3/2))) (/.f64 (.f64 x x) (sqrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 (.f64 x -3/2))) (/.f64 -9/4 (sqrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x -3/2))) (/.f64 (.f64 -9/4 (.f64 x x)) (sqrt.f64 (*.f64 x -3/2))))
(.f64 (/.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (sqrt.f64 (.f64 x -3/2))) (/.f64 (cbrt.f64 (.f64 -9/4 (.f64 x x))) (sqrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 (.f64 -9/4 x) (sqrt.f64 (.f64 x -3/2))) (/.f64 x (sqrt.f64 (.f64 x -3/2))))
(pow.f64 (.f64 3/2 (/.f64 (.f64 x x) x)) 1)
(pow.f64 (pow.f64 (.f64 3/2 (/.f64 (.f64 x x) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 3/2 (/.f64 (.f64 x x) x))) 3)
(pow.f64 (/.f64 (.f64 x -3/2) (sqrt.f64 (.f64 x 3/2))) 2)
(pow.f64 (.f64 (/.f64 x (.f64 x x)) 2/3) -1)
(neg.f64 (/.f64 (.f64 -9/4 (.f64 x x)) (*.f64 x 3/2)))
(sqrt.f64 (pow.f64 (.f64 3/2 (/.f64 (.f64 x x) x)) 2))
(log.f64 (exp.f64 (.f64 3/2 (/.f64 (.f64 x x) x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 3/2 (/.f64 (.f64 x x) x)))))
(cbrt.f64 (pow.f64 (.f64 3/2 (/.f64 (.f64 x x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 -9/4 (.f64 x x)) 3) (pow.f64 (*.f64 x -3/2) 3)))
(expm1.f64 (log1p.f64 (.f64 3/2 (/.f64 (.f64 x x) x))))
(log1p.f64 (expm1.f64 (.f64 3/2 (/.f64 (.f64 x x) x))))
(exp.f64 (log.f64 (.f64 3/2 (/.f64 (.f64 x x) x))))

Outputs
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(*.f64 3/2 x)
(-.f64 (exp.f64 (log1p.f64 (.f64 3/2 (/.f64 (.f64 x x) x)))) 1)
(*.f64 3/2 x)
(.f64 -9/4 (/.f64 (.f64 x x) (*.f64 x -3/2)))
(*.f64 3/2 x)
(.f64 -9/4 (/.f64 1 (.f64 -3/2 (/.f64 x (*.f64 x x)))))
(*.f64 3/2 x)
(.f64 -9/4 (.f64 (*.f64 x x) (/.f64 -2/3 x)))
(*.f64 3/2 x)
(.f64 (.f64 x x) (*.f64 -9/4 (/.f64 -2/3 x)))
(*.f64 3/2 x)
(.f64 (.f64 -9/4 (*.f64 x x)) (/.f64 -2/3 x))
(*.f64 3/2 x)
(.f64 (.f64 3/2 (/.f64 (*.f64 x x) x)) 1)
(*.f64 3/2 x)
(.f64 1 (.f64 3/2 (/.f64 (*.f64 x x) x)))
(*.f64 3/2 x)
(.f64 (cbrt.f64 (.f64 3/2 (/.f64 (.f64 x x) x))) (pow.f64 (cbrt.f64 (.f64 3/2 (/.f64 (*.f64 x x) x))) 2))
(*.f64 3/2 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 3/2 (/.f64 (.f64 x x) x))) 2) (cbrt.f64 (.f64 3/2 (/.f64 (*.f64 x x) x))))
(*.f64 3/2 x)
(.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (.f64 (cbrt.f64 (.f64 -9/4 (*.f64 x x))) (/.f64 -2/3 x)))
(.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (.f64 (/.f64 -2/3 x) (cbrt.f64 (.f64 (*.f64 x x) -9/4))))
(.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (/.f64 (/.f64 (cbrt.f64 (.f64 x (.f64 x -9/4))) -3/2) x))
(.f64 (/.f64 -2/3 x) (.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -9/4)))))
(.f64 (/.f64 (.f64 x -3/2) (sqrt.f64 (.f64 x 3/2))) (/.f64 (.f64 x -3/2) (sqrt.f64 (*.f64 x 3/2))))
(pow.f64 (/.f64 (.f64 x -3/2) (sqrt.f64 (.f64 3/2 x))) 2)
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 (*.f64 3/2 x)) -3/2)) 2)
(pow.f64 (.f64 -3/2 (/.f64 x (sqrt.f64 (.f64 3/2 x)))) 2)
(.f64 (.f64 x (sqrt.f64 -9/4)) (.f64 (.f64 x (sqrt.f64 -9/4)) (/.f64 -2/3 x)))
(*.f64 3/2 x)
(.f64 (.f64 (.f64 x x) 9/4) (/.f64 1 (.f64 x 3/2)))
(*.f64 3/2 x)
(*.f64 (/.f64 -9/4 x) (/.f64 x (/.f64 -3/2 x)))
(*.f64 3/2 x)
(*.f64 (/.f64 x (/.f64 -3/2 x)) (/.f64 -9/4 x))
(*.f64 3/2 x)
(.f64 (/.f64 -2/3 x) (.f64 -9/4 (*.f64 x x)))
(*.f64 3/2 x)
(.f64 (.f64 -9/4 (/.f64 (*.f64 x x) x)) -2/3)
(*.f64 3/2 x)
(.f64 (.f64 -9/4 x) (*.f64 x (/.f64 -2/3 x)))
(*.f64 3/2 x)
(.f64 3/2 (/.f64 (.f64 x x) x))
(*.f64 3/2 x)
(.f64 (/.f64 1 x) (/.f64 (.f64 -9/4 (*.f64 x x)) -3/2))
(*.f64 3/2 x)
(.f64 (/.f64 (.f64 x x) x) 3/2)
(*.f64 3/2 x)
(.f64 (/.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) x) (/.f64 (cbrt.f64 (.f64 -9/4 (.f64 x x))) -3/2))
(.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (.f64 (/.f64 -2/3 x) (cbrt.f64 (.f64 (*.f64 x x) -9/4))))
(.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (/.f64 (/.f64 (cbrt.f64 (.f64 x (.f64 x -9/4))) -3/2) x))
(.f64 (/.f64 -2/3 x) (.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -9/4)))))
(.f64 (/.f64 (.f64 x (sqrt.f64 -9/4)) x) (/.f64 (*.f64 x (sqrt.f64 -9/4)) -3/2))
(*.f64 3/2 x)
(.f64 (/.f64 (.f64 x (sqrt.f64 -9/4)) -3/2) (/.f64 (*.f64 x (sqrt.f64 -9/4)) x))
(*.f64 3/2 x)
(.f64 (/.f64 (.f64 -9/4 x) x) (/.f64 x -3/2))
(*.f64 3/2 x)
(.f64 -2/3 (.f64 -9/4 (/.f64 (*.f64 x x) x)))
(*.f64 3/2 x)
(.f64 (/.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) -3/2) (/.f64 (cbrt.f64 (.f64 -9/4 (.f64 x x))) x))
(.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (.f64 (/.f64 -2/3 x) (cbrt.f64 (.f64 (*.f64 x x) -9/4))))
(.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (/.f64 (/.f64 (cbrt.f64 (.f64 x (.f64 x -9/4))) -3/2) x))
(.f64 (/.f64 -2/3 x) (.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -9/4)))))
(.f64 (/.f64 (.f64 -9/4 x) -3/2) (/.f64 x x))
(*.f64 3/2 x)
(.f64 (/.f64 (.f64 x x) 1) (/.f64 -9/4 (*.f64 x -3/2)))
(*.f64 3/2 x)
(.f64 (/.f64 -9/4 (.f64 x -3/2)) (*.f64 x x))
(*.f64 3/2 x)
(.f64 (/.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (.f64 -9/4 (.f64 x x))) (*.f64 x -3/2)))
(.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (.f64 (/.f64 -2/3 x) (cbrt.f64 (.f64 (*.f64 x x) -9/4))))
(.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (/.f64 (/.f64 (cbrt.f64 (.f64 x (.f64 x -9/4))) -3/2) x))
(.f64 (/.f64 -2/3 x) (.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -9/4)))))
(.f64 (/.f64 (.f64 x (sqrt.f64 -9/4)) 1) (/.f64 (.f64 x (sqrt.f64 -9/4)) (.f64 x -3/2)))
(*.f64 3/2 x)
(.f64 (/.f64 (.f64 -9/4 x) 1) (/.f64 x (*.f64 x -3/2)))
(*.f64 3/2 x)
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 x -3/2)) x)))
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (.f64 x (/.f64 x (cbrt.f64 (.f64 x -3/2)))))
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (/.f64 x -2/3)) 2)) (.f64 x (/.f64 x (cbrt.f64 (/.f64 x -2/3)))))
(.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (/.f64 -9/4 (cbrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 x -3/2)) x)))
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (.f64 x (/.f64 x (cbrt.f64 (.f64 x -3/2)))))
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (/.f64 x -2/3)) 2)) (.f64 x (/.f64 x (cbrt.f64 (/.f64 x -2/3)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (/.f64 (.f64 -9/4 (.f64 x x)) (cbrt.f64 (*.f64 x -3/2))))
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 x -3/2)) x)))
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (.f64 x (/.f64 x (cbrt.f64 (.f64 x -3/2)))))
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (/.f64 x -2/3)) 2)) (.f64 x (/.f64 x (cbrt.f64 (/.f64 x -2/3)))))
(.f64 (/.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (cbrt.f64 (.f64 3/2 (/.f64 (*.f64 x x) x))))
(.f64 (cbrt.f64 (.f64 3/2 (/.f64 x 1))) (/.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 3/2 x)) (cbrt.f64 (.f64 81/16 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2))
(.f64 (cbrt.f64 (.f64 3/2 x)) (/.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)))
(.f64 (cbrt.f64 (.f64 3/2 x)) (/.f64 (cbrt.f64 (*.f64 81/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 x -2/3)) 2)))
(.f64 (/.f64 (.f64 x (sqrt.f64 -9/4)) (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (/.f64 (.f64 x (sqrt.f64 -9/4)) (cbrt.f64 (*.f64 x -3/2))))
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 x -3/2)) x)))
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (.f64 x (/.f64 x (cbrt.f64 (.f64 x -3/2)))))
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (/.f64 x -2/3)) 2)) (.f64 x (/.f64 x (cbrt.f64 (/.f64 x -2/3)))))
(.f64 (/.f64 (.f64 -9/4 x) (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (/.f64 x (cbrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 x -3/2)) x)))
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (.f64 x -3/2)) 2)) (.f64 x (/.f64 x (cbrt.f64 (.f64 x -3/2)))))
(.f64 (/.f64 -9/4 (pow.f64 (cbrt.f64 (/.f64 x -2/3)) 2)) (.f64 x (/.f64 x (cbrt.f64 (/.f64 x -2/3)))))
(.f64 (/.f64 -9/4 (sqrt.f64 (.f64 x -3/2))) (/.f64 (.f64 x x) (sqrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 -9/4 (sqrt.f64 (.f64 x -3/2))) (/.f64 x (/.f64 (sqrt.f64 (*.f64 x -3/2)) x)))
(*.f64 (/.f64 -9/4 (sqrt.f64 (/.f64 x -2/3))) (/.f64 x (/.f64 (sqrt.f64 (/.f64 x -2/3)) x)))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 (.f64 x -3/2))) (/.f64 -9/4 (sqrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 -9/4 (sqrt.f64 (.f64 x -3/2))) (/.f64 (.f64 x x) (sqrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 -9/4 (sqrt.f64 (.f64 x -3/2))) (/.f64 x (/.f64 (sqrt.f64 (*.f64 x -3/2)) x)))
(*.f64 (/.f64 -9/4 (sqrt.f64 (/.f64 x -2/3))) (/.f64 x (/.f64 (sqrt.f64 (/.f64 x -2/3)) x)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x -3/2))) (/.f64 (.f64 -9/4 (.f64 x x)) (sqrt.f64 (*.f64 x -3/2))))
(.f64 (/.f64 -9/4 (sqrt.f64 (.f64 x -3/2))) (/.f64 (.f64 x x) (sqrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 -9/4 (sqrt.f64 (.f64 x -3/2))) (/.f64 x (/.f64 (sqrt.f64 (*.f64 x -3/2)) x)))
(*.f64 (/.f64 -9/4 (sqrt.f64 (/.f64 x -2/3))) (/.f64 x (/.f64 (sqrt.f64 (/.f64 x -2/3)) x)))
(.f64 (/.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (sqrt.f64 (.f64 x -3/2))) (/.f64 (cbrt.f64 (.f64 -9/4 (.f64 x x))) (sqrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (sqrt.f64 (.f64 x -3/2))) (/.f64 (cbrt.f64 (.f64 (.f64 x x) -9/4)) (sqrt.f64 (.f64 x -3/2))))
(/.f64 (/.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (sqrt.f64 (.f64 x -3/2))) (/.f64 (sqrt.f64 (.f64 x -3/2)) (cbrt.f64 (.f64 x (*.f64 x -9/4)))))
(.f64 (/.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (sqrt.f64 (.f64 x -3/2))) (/.f64 (cbrt.f64 (.f64 x (.f64 x -9/4))) (sqrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 (cbrt.f64 (.f64 81/16 (pow.f64 x 4))) (sqrt.f64 (/.f64 x -2/3))) (/.f64 (cbrt.f64 (.f64 x (.f64 x -9/4))) (sqrt.f64 (/.f64 x -2/3))))
(.f64 (/.f64 (.f64 -9/4 x) (sqrt.f64 (.f64 x -3/2))) (/.f64 x (sqrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 -9/4 (sqrt.f64 (.f64 x -3/2))) (/.f64 (.f64 x x) (sqrt.f64 (.f64 x -3/2))))
(.f64 (/.f64 -9/4 (sqrt.f64 (.f64 x -3/2))) (/.f64 x (/.f64 (sqrt.f64 (*.f64 x -3/2)) x)))
(*.f64 (/.f64 -9/4 (sqrt.f64 (/.f64 x -2/3))) (/.f64 x (/.f64 (sqrt.f64 (/.f64 x -2/3)) x)))
(pow.f64 (.f64 3/2 (/.f64 (.f64 x x) x)) 1)
(*.f64 3/2 x)
(pow.f64 (pow.f64 (.f64 3/2 (/.f64 (.f64 x x) x)) 3) 1/3)
(*.f64 3/2 x)
(pow.f64 (cbrt.f64 (.f64 3/2 (/.f64 (.f64 x x) x))) 3)
(*.f64 3/2 x)
(pow.f64 (/.f64 (.f64 x -3/2) (sqrt.f64 (.f64 x 3/2))) 2)
(pow.f64 (/.f64 (.f64 x -3/2) (sqrt.f64 (.f64 3/2 x))) 2)
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 (*.f64 3/2 x)) -3/2)) 2)
(pow.f64 (.f64 -3/2 (/.f64 x (sqrt.f64 (.f64 3/2 x)))) 2)
(pow.f64 (.f64 (/.f64 x (.f64 x x)) 2/3) -1)
(*.f64 3/2 x)
(neg.f64 (/.f64 (.f64 -9/4 (.f64 x x)) (*.f64 x 3/2)))
(*.f64 3/2 x)
(sqrt.f64 (pow.f64 (.f64 3/2 (/.f64 (.f64 x x) x)) 2))
(*.f64 3/2 x)
(log.f64 (exp.f64 (.f64 3/2 (/.f64 (.f64 x x) x))))
(*.f64 3/2 x)
(log.f64 (+.f64 1 (expm1.f64 (.f64 3/2 (/.f64 (.f64 x x) x)))))
(*.f64 3/2 x)
(cbrt.f64 (pow.f64 (.f64 3/2 (/.f64 (.f64 x x) x)) 3))
(*.f64 3/2 x)
(cbrt.f64 (/.f64 (pow.f64 (.f64 -9/4 (.f64 x x)) 3) (pow.f64 (*.f64 x -3/2) 3)))
(*.f64 3/2 x)
(expm1.f64 (log1p.f64 (.f64 3/2 (/.f64 (.f64 x x) x))))
(*.f64 3/2 x)
(log1p.f64 (expm1.f64 (.f64 3/2 (/.f64 (.f64 x x) x))))
(*.f64 3/2 x)
(exp.f64 (log.f64 (.f64 3/2 (/.f64 (.f64 x x) x))))
(*.f64 3/2 x)

eval36.0ms (1%)

Compiler: Compiled 1593 to 1143 computations (28.2% saved)

prune27.0ms (0.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	138	5	143
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	140	9	149

Error

Counts

149 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.8b	(/.f64 1 (/.f64 2/3 x))
	31.8b	(/.f64 1 (*.f64 (/.f64 1 x) 2/3))
✓	0.1b	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
	46.2b	(.f64 (/.f64 (.f64 x x) x) 3/2)
	31.9b	(.f64 (/.f64 (.f64 -9/4 x) 1) (/.f64 x (*.f64 x -3/2)))
	31.8b	(.f64 (/.f64 (.f64 -9/4 x) -3/2) (/.f64 x x))
	46.3b	(.f64 (/.f64 -9/4 (.f64 x -3/2)) (*.f64 x x))
✓	31.7b	(*.f64 3/2 x)
✓	31.5b	(*.f64 -1/2 y)

Compiler

Compiled 79 to 61 computations (22.8% saved)

regimes31.0ms (0.8%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
9.0ms	y
8.0ms	(+.f64 x (/.f64 (-.f64 x y) 2))

Results

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

Compiler

Compiled 159 to 104 computations (34.6% saved)

regimes27.0ms (0.7%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(+.f64 x (/.f64 (-.f64 x y) 2))
8.0ms	y
7.0ms	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 147 to 96 computations (34.7% saved)

regimes48.0ms (1.3%)

Accuracy

Total -50.2b remaining (-423.8%)

Threshold costs -50.2b (-423.8%)

Counts

4 → 9

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	x
18.0ms	y

Results

Error	Segments	Branch
11.9b	9	`x`
12.4b	5	`y`

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch103.0ms (2.8%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
13.0ms	2.1762414685188032e+98	4.592960507543838e+99
9.0ms	8.736340535378915e-12	2.041480906159922e-11
13.0ms	2.177187016106292e-74	2.1596004626164513e-71
15.0ms	3.8346395320052535e-101	8.840356013553335e-94
11.0ms	6.985003305235451e-145	8.83794137446238e-143
14.0ms	-2.3096610801824137e-61	-8.860855779018542e-65
13.0ms	-11977035936222.129	-257373387730.31287
16.0ms	-2.987945339415033e+54	-9.669374881200327e+47

Results

79.0ms	903×	body	256	valid
5.0ms	26×	body	1024	valid
4.0ms	22×	body	512	valid
2.0ms	9×	body	2048	valid

Compiler

Compiled 734 to 610 computations (16.9% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	106
1	42	106
2	47	106
3	49	106
4	50	106

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (/.f64 (-.f64 x y) 2))
(if (<=.f64 x -1499999999999999984639126153007614336162066333696) (.f64 3/2 x) (if (<=.f64 x -380000000000) (.f64 -1/2 y) (if (<=.f64 x -4298202352489177/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (.f64 3/2 x) (if (<=.f64 x 4668062408888815/54918381281044877719855206392651145738155482401146443275155707673484345467181248416980477125291636439818370491131846864296975903997733150500592226328920457216) (.f64 -1/2 y) (if (<=.f64 x 6304320991423117/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (.f64 3/2 x) (if (<=.f64 x 5410876812138479/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) (.f64 -1/2 y) (if (<=.f64 x 851083777008699/77371252455336267181195264) (.f64 3/2 x) (if (<=.f64 x 220000000000000008598141886239720781467525293818533320511507158782318696273755958902520088352522240) (.f64 -1/2 y) (*.f64 3/2 x)))))))))
(*.f64 -1/2 y)

Outputs
(fma.f64 3/2 x (*.f64 -1/2 y))
(+.f64 x (/.f64 (-.f64 x y) 2))
(if (<=.f64 x -1499999999999999984639126153007614336162066333696) (.f64 3/2 x) (if (<=.f64 x -380000000000) (.f64 -1/2 y) (if (<=.f64 x -4298202352489177/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (.f64 3/2 x) (if (<=.f64 x 4668062408888815/54918381281044877719855206392651145738155482401146443275155707673484345467181248416980477125291636439818370491131846864296975903997733150500592226328920457216) (.f64 -1/2 y) (if (<=.f64 x 6304320991423117/157608024785577916849116160400574455220318957081861786671793173616982887085988842445657065019539662563226511961227264) (.f64 3/2 x) (if (<=.f64 x 5410876812138479/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896) (.f64 -1/2 y) (if (<=.f64 x 851083777008699/77371252455336267181195264) (.f64 3/2 x) (if (<=.f64 x 220000000000000008598141886239720781467525293818533320511507158782318696273755958902520088352522240) (.f64 -1/2 y) (*.f64 3/2 x)))))))))
(*.f64 -1/2 y)

Compiler

Compiled 83 to 60 computations (27.7% saved)

soundness73.0ms (2%)

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)

end43.0ms (1.2%)

Compiler: Compiled 77 to 54 computations (29.9% saved)

Details

analyze50.0ms (1.4%)

sample912.0ms (25%)

preprocess41.0ms (1.1%)

simplify23.0ms (0.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series33.0ms (0.9%)

rewrite49.0ms (1.3%)

simplify59.0ms (1.6%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite41.0ms (1.1%)

simplify37.0ms (1%)

eval45.0ms (1.2%)

prune22.0ms (0.6%)

localize6.0ms (0.2%)

series5.0ms (0.1%)

rewrite40.0ms (1.1%)

simplify37.0ms (1%)

localize3.0ms (0.1%)

localize4.0ms (0.1%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite46.0ms (1.3%)

simplify47.0ms (1.3%)

localize30.0ms (0.8%)

series15.0ms (0.4%)

rewrite88.0ms (2.4%)

simplify115.0ms (3.2%)

eval190.0ms (5.2%)

prune111.0ms (3%)

localize29.0ms (0.8%)

series35.0ms (1%)

rewrite86.0ms (2.4%)

simplify118.0ms (3.2%)

localize34.0ms (0.9%)

series3.0ms (0.1%)

rewrite55.0ms (1.5%)

simplify49.0ms (1.4%)

eval417.0ms (11.4%)

prune160.0ms (4.4%)

localize5.0ms (0.1%)

series2.0ms (0.1%)

rewrite41.0ms (1.1%)

simplify40.0ms (1.1%)

localize10.0ms (0.3%)

series1.0ms (0%)

rewrite49.0ms (1.3%)

simplify46.0ms (1.3%)

eval36.0ms (1%)

prune27.0ms (0.7%)

regimes31.0ms (0.8%)

regimes27.0ms (0.7%)

regimes48.0ms (1.3%)

bsearch103.0ms (2.8%)

simplify7.0ms (0.2%)

soundness73.0ms (2%)

end43.0ms (1.2%)

Profiling