Details

analyze239.0ms (11.4%)

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
51.6%	50%	46.8%	0.1%	3.1%	0%	0%	7
61.3%	59.3%	37.5%	0.1%	3.1%	0%	0%	8
72.3%	67.1%	25.8%	0.1%	7%	0%	0%	9
78.2%	72.6%	20.3%	0.1%	7%	0%	0%	10
85.1%	76.9%	13.5%	0.1%	9.6%	0%	0%	11
88.3%	79.8%	10.5%	0.1%	9.6%	0%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample815.0ms (38.9%)

Results

781.0ms	8256×	body	256	valid
22.0ms	253×	body	256	infinite

Bogosity

preprocess101.0ms (4.8%)

Algorithm

2×	egg-herbie

Rules

1297×	`fma-neg_binary64`
334×	`cancel-sign-sub-inv_binary64`
295×	`fma-def_binary64`
254×	`sub-neg_binary64`
198×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	32
1	44	28
2	106	24
3	245	24
4	555	22
5	1210	22
6	2256	22
7	3467	22
8	3857	22
9	3875	22
10	3875	22
11	4533	22
12	4533	22
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 y (-.f64 x 1)) (.f64 x 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (-.f64 y 1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (-.f64 (.f64 y (-.f64 x 1)) (.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y (+.f64 x -1)) (.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1) (*.f64 x -1/2)))
(fma.f64 y (+.f64 x -1) (fma.f64 x -1/2 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1/2) (-.f64 918938533204673/1000000000000000 y))
(-.f64 918938533204673/1000000000000000 (fma.f64 x (-.f64 1/2 y) y))

Compiler

Compiled 15 to 12 computations (20% saved)

simplify49.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

706×	`fma-neg_binary64`
571×	`fma-def_binary64`
225×	`cancel-sign-sub-inv_binary64`
113×	`sub-neg_binary64`
83×	`associate--r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	27	14
2	62	12
3	131	12
4	270	11
5	576	11
6	1098	11
7	1824	11
8	2606	11
9	2777	11
10	2804	11

Stop Event

1×

saturated

Counts

1 → 6

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))

eval2.0ms (0.1%)

Compiler: Compiled 59 to 41 computations (30.5% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
▶	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize15.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 38 to 26 computations (31.6% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite37.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`pow1_binary64`
556×	`add-log-exp_binary64`
555×	`log1p-expm1-u_binary64`
555×	`expm1-log1p-u_binary64`
545×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	124	7
2	1543	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(*.f64 x (-.f64 y 1))

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

Outputs

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

simplify39.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

535×	`log-prod_binary64`
424×	`fma-def_binary64`
324×	`*-commutative_binary64`
295×	`associate-l_binary64`
272×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	303
1	125	303
2	390	303
3	2405	303
4	5234	303

Stop Event

1×	node limit

Counts

41 → 27

Calls

Call 1

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

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

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

Compiler

Compiled 20 to 13 computations (35% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	y	@	-inf	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	x	@	inf	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	x	@	-inf	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	x	@	0	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

rewrite53.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

423×	`unpow-prod-down_binary64`
371×	`log-prod_binary64`
296×	`exp-prod_binary64`
265×	`prod-exp_binary64`
241×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	182	11
2	2328	11

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (+.f64 x -1/2)) 1) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2) 3) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2) (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (.f64 (.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (-.f64 (.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))) (sqrt.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (-.f64 918938533204673/1000000000000000 x))) (pow.f64 (exp.f64 y) (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)) (+.f64 1 (expm1.f64 (-.f64 918938533204673/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 1) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (+.f64 x -1/2)) 1) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2) 3) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (*.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (-.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))) (sqrt.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 918938533204673/1000000000000000 x))) (pow.f64 (exp.f64 y) (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)) (+.f64 1 (expm1.f64 (-.f64 918938533204673/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 1) 1))))))

simplify51.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

426×	`fma-def_binary64`
294×	`unswap-sqr_binary64`
280×	`log-prod_binary64`
251×	`fma-neg_binary64`
246×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	922
1	362	888
2	1250	883
3	4115	865

Stop Event

1×	node limit

Counts

68 → 81

Calls

Call 1

Inputs
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(*.f64 (-.f64 y 1) x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2)))
(+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(+.f64 0 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))
(+.f64 (.f64 (.f64 y (+.f64 x -1/2)) 1) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (neg.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 1)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 1)
(*.f64 1 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2) 3) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 3))
(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2) (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (.f64 (.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (-.f64 (.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))
(pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 1)
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))) (sqrt.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 918938533204673/1000000000000000 x))) (pow.f64 (exp.f64 y) (+.f64 x -1/2))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)) (+.f64 1 (expm1.f64 (-.f64 918938533204673/1000000000000000 x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 1) 1))

Outputs
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(fma.f64 y -1/2 918938533204673/1000000000000000)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x y) x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 0 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (.f64 (.f64 y (+.f64 x -1/2)) 1) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (neg.f64 x))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 1)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(*.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 1)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 1 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (pow.f64 1 1/3) (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3)) 1/3))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)) 4) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 8)) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))
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(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x) 5/2)) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 5/2)) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2) 3) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 3))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2) (-.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (.f64 (.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (-.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2)))))
(/.f64 (+.f64 (pow.f64 (.f64 y (-.f64 x 1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (+.f64 (pow.f64 (.f64 y (-.f64 x 1/2)) 2) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))))
(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))) (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 3) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) (.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 x (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (-.f64 (.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x)))
(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 (-.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x))
(/.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 x 1/2)) 2) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 x (fma.f64 y (-.f64 x 1/2) -918938533204673/1000000000000000)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 x (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 1)
(pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 1)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 2) 1/2)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(pow.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3) 1/3)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 3)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))) (sqrt.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))) (sqrt.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)))) (sqrt.f64 (log.f64 (-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x))))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 2))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(log.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 918938533204673/1000000000000000 x))) (pow.f64 (exp.f64 y) (+.f64 x -1/2))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)) (+.f64 1 (expm1.f64 (-.f64 918938533204673/1000000000000000 x)))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 3))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(exp.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 1))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 1/3))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 3))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 1) 1))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)

eval34.0ms (1.6%)

Compiler: Compiled 1691 to 1234 computations (27% saved)

prune21.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	104	6	110

Error

Counts

110 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
▶	37.4b	(-.f64 (*.f64 x y) x)
▶	23.1b	(-.f64 918938533204673/1000000000000000 x)
	7.7b	(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
▶	25.7b	(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
▶	39.9b	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 94 to 70 computations (25.5% saved)

localize11.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
✓	0.0b	(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series4.0ms (0.2%)

Counts

2 → 30

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
0.0ms	x	@	-inf	(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
0.0ms	y	@	-inf	(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
0.0ms	x	@	inf	(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
0.0ms	y	@	0	(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))

rewrite71.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`prod-diff_binary64`
472×	`log-prod_binary64`
432×	`fma-def_binary64`
288×	`pow2_binary64`
228×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	215	19
2	3042	19

Stop Event

1×	node limit

Counts

2 → 186

Calls

Call 1

Inputs
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)

Outputs

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918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 y)) (sqrt.f64 y) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))))))

simplify91.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

447×	`associate-+l+_binary64`
372×	`unswap-sqr_binary64`
350×	`fma-neg_binary64`
284×	`associate-/l*_binary64`
283×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	3764
1	851	3537
2	2641	3355

Stop Event

1×	node limit

Counts

216 → 228

Calls

Call 1

Inputs
918938533204673/1000000000000000
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 (.f64 -1/2 y) 918938533204673/1000000000000000))
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 (.f64 -1/2 y) 918938533204673/1000000000000000))
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 (.f64 -1/2 y) 918938533204673/1000000000000000))
(*.f64 (-.f64 y 1) x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) 1)
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2)))) (/.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2) (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))))
(*.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)
(*.f64 1 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (/.f64 1 (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3))))
(/.f64 1 (/.f64 (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))))
(/.f64 (neg.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3))) (neg.f64 (fma.f64 (.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2))) (neg.f64 (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 3)
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 (.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3))) -1)
(pow.f64 (/.f64 (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 1))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 (+.f64 x -1/2) y 918938533204673/1000000000000000)
(fma.f64 (*.f64 y (+.f64 x -1/2)) 1 918938533204673/1000000000000000)
(fma.f64 1 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (*.f64 (cbrt.f64 (+.f64 x -1/2)) y) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 x -1/2)) 918938533204673/1000000000000000)
(fma.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2))) (cbrt.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) 918938533204673/1000000000000000)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (cbrt.f64 (.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (+.f64 x -1/2)) (*.f64 (sqrt.f64 (+.f64 x -1/2)) y) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x -1/2)) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (.f64 y (+.f64 x -1/2))) (sqrt.f64 (.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) 918938533204673/1000000000000000)
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) 918938533204673/1000000000000000)
(fma.f64 (*.f64 (+.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 918938533204673/1000000000000000)
(fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 y)) (sqrt.f64 y) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(+.f64 918938533204673/1000000000000000 (*.f64 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)) 1))
(+.f64 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 y (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(+.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (neg.f64 x))
(+.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(+.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (+.f64 (neg.f64 x) x))
(+.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (fma.f64 -1 x x))
(+.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(+.f64 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)) 918938533204673/1000000000000000)
(+.f64 0 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))
(*.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 1)
(*.f64 1 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 y (+.f64 x -1/2) (+.f64 918938533204673/1000000000000000 x)) (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2))))
(.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) (.f64 x x)) (/.f64 1 (fma.f64 y (+.f64 x -1/2) (+.f64 918938533204673/1000000000000000 x))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)))
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(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 x)) 918938533204673/1000000000000000)
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(fma.f64 (*.f64 (+.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (*.f64 (+.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 y)) (sqrt.f64 y) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))

Outputs
918938533204673/1000000000000000
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(fma.f64 y -1/2 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 y x)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(fma.f64 y -1/2 918938533204673/1000000000000000)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 (.f64 -1/2 y) 918938533204673/1000000000000000))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 (.f64 -1/2 y) 918938533204673/1000000000000000))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 (.f64 -1/2 y) 918938533204673/1000000000000000))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(*.f64 x (+.f64 y -1))
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (.f64 -1/2 y) (+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) 1)
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2)))) (/.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2) (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(*.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 1 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (/.f64 1 (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 1 (/.f64 (fma.f64 (.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3))))
(.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 1 (/.f64 (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (+.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))))))
(.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 (neg.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3))) (neg.f64 (fma.f64 (.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2))) (neg.f64 (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2)))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (.f64 y (+.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2) 1/2)
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 3)
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2)
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (*.f64 y x))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) 1/3)
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(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(exp.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 1))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 y (+.f64 x -1/2) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (+.f64 x -1/2) y (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (+.f64 x -1/2) y (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (*.f64 y (+.f64 x -1/2)) 1 (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (*.f64 y (+.f64 x -1/2)) 1 (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1 (neg.f64 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1 (*.f64 (neg.f64 x) 1))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 1 (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(+.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))))
(fma.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) 1 (+.f64 (neg.f64 x) x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 1 (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 1 (*.f64 y (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 1 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (neg.f64 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 1 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (*.f64 (neg.f64 x) 1))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 1 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 1 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(+.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))))
(fma.f64 1 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (+.f64 (neg.f64 x) x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 1 (neg.f64 x) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 1 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)) 918938533204673/1000000000000000)
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2) (neg.f64 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2) (*.f64 (neg.f64 x) 1))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (neg.f64 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (*.f64 (neg.f64 x) 1))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(+.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))))
(fma.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (+.f64 (neg.f64 x) x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(+.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (*.f64 (cbrt.f64 (+.f64 x -1/2)) y) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (*.f64 (cbrt.f64 (+.f64 x -1/2)) y) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2))) (cbrt.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2))) (cbrt.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) 918938533204673/1000000000000000) x)
(fma.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2))) (cbrt.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(fma.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2))) (cbrt.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2))) (cbrt.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) 918938533204673/1000000000000000) x)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (cbrt.f64 (.f64 y (+.f64 x -1/2))) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2))) (cbrt.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2))) (cbrt.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) 918938533204673/1000000000000000) x)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (cbrt.f64 (.f64 y (+.f64 x -1/2))) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(fma.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2))) (cbrt.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2))) (cbrt.f64 (pow.f64 (.f64 y (+.f64 x -1/2)) 2)) 918938533204673/1000000000000000) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 x)) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
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(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))))
(fma.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (neg.f64 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (*.f64 (neg.f64 x) 1))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
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(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (-.f64 x x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 x)) 0)
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 x)) 918938533204673/1000000000000000)
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(+.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) (.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (*.f64 (+.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (*.f64 (+.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 918938533204673/1000000000000000 x))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 y)) (sqrt.f64 y) (+.f64 918938533204673/1000000000000000 (neg.f64 x)))
(fma.f64 (+.f64 y -1) x (fma.f64 -1/2 y 918938533204673/1000000000000000))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)

localize4.0ms (0.2%)

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

localize5.0ms (0.2%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

localize5.0ms (0.2%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

localize6.0ms (0.3%)

Compiler: Compiled 12 to 4 computations (66.7% saved)

eval75.0ms (3.6%)

Compiler: Compiled 3906 to 2537 computations (35% saved)

prune32.0ms (1.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	227	1	228
Fresh	1	0	1
Picked	0	1	1
Done	0	4	4
Total	228	6	234

Error

Counts

234 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
▶	7.7b	(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x)
✓	37.4b	(-.f64 (*.f64 x y) x)
✓	23.1b	(-.f64 918938533204673/1000000000000000 x)
✓	25.7b	(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
✓	39.9b	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 46 to 34 computations (26.1% saved)

localize9.0ms (0.4%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
✓	7.7b	(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x)
✓	37.4b	(-.f64 (*.f64 x y) x)
✓	23.1b	(-.f64 918938533204673/1000000000000000 x)
✓	25.7b	(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
✓	39.9b	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes24.0ms (1.2%)

Counts

9 → 1

Calls

Call 1

Inputs
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(-.f64 (*.f64 x y) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x)
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

Outputs
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)

Calls

4 calls:

6.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
6.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
5.0ms	x
5.0ms	y

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)`
0b	1	`(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))`

Compiler

Compiled 93 to 65 computations (30.1% saved)

regimes28.0ms (1.3%)

Counts

6 → 3

Calls

Call 1

Inputs
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(-.f64 (*.f64 x y) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x)
(+.f64 (-.f64 (neg.f64 x) (*.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y)) x)
(*.f64 y (-.f64 x 1/2))

Calls

2 calls:

13.0ms	y
13.0ms	x

Results

Error	Segments	Branch
0.6b	3	`x`
0.5b	3	`y`

Compiler

Compiled 41 to 28 computations (31.7% saved)

bsearch29.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	20379544.580175795	17093974685955.22
13.0ms	-201667685666082050.0	-3408642370457906.0

Results

25.0ms	256×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 306 to 238 computations (22.2% saved)

regimes24.0ms (1.1%)

Accuracy

Total -61.4b remaining (-5015.5%)

Threshold costs -61.4b (-5015.5%)

Counts

4 → 3

Calls

Call 1

Inputs
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(-.f64 (*.f64 x y) x)

Outputs
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))

Calls

2 calls:

11.0ms	y
11.0ms	x

Results

Error	Segments	Branch
1.4b	3	`x`
1.2b	3	`y`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch36.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.4362980000389578	20379544.580175795
20.0ms	-3408642370457906.0	-0.00016266158151252363

Results

32.0ms

320×

body

256

valid

Compiler

Compiled 298 to 234 computations (21.5% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	83
1	37	83
2	45	83
3	47	83
4	48	83

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(if (<=.f64 y -3500000000000000) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 95000000) (-.f64 (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)) x) (*.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -799388933858263/562949953421312) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 5404319552844595/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(-.f64 918938533204673/1000000000000000 x)

Outputs
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(if (<=.f64 y -3500000000000000) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 95000000) (-.f64 (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)) x) (*.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -3500000000000000) (.f64 y (+.f64 x -1/2)) (if (<=.f64 y 95000000) (-.f64 (+.f64 918938533204673/1000000000000000 (.f64 y -1/2)) x) (*.f64 y (+.f64 x -1/2))))
(if (<=.f64 y -799388933858263/562949953421312) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 5404319552844595/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -799388933858263/562949953421312) (.f64 y (+.f64 x -1/2)) (if (<=.f64 y 5404319552844595/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))))
(-.f64 918938533204673/1000000000000000 x)

Compiler

Compiled 66 to 47 computations (28.8% saved)

soundness122.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

706×	`fma-neg_binary64`
571×	`fma-def_binary64`
225×	`cancel-sign-sub-inv_binary64`
113×	`sub-neg_binary64`
83×	`associate--r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	27	14
2	62	12
3	131	12
4	270	11
5	576	11
6	1098	11
7	1824	11
8	2606	11
9	2777	11
10	2804	11

Stop Event

1×

saturated

Compiler

Compiled 260 to 200 computations (23.1% saved)

end37.0ms (1.8%)

Compiler: Compiled 60 to 41 computations (31.7% saved)

Details

analyze239.0ms (11.4%)

sample815.0ms (38.9%)

preprocess101.0ms (4.8%)

simplify49.0ms (2.3%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

localize15.0ms (0.7%)

series3.0ms (0.1%)

rewrite37.0ms (1.8%)

simplify39.0ms (1.9%)

localize8.0ms (0.4%)

series3.0ms (0.1%)

rewrite53.0ms (2.5%)

simplify51.0ms (2.5%)

eval34.0ms (1.6%)

prune21.0ms (1%)

localize11.0ms (0.5%)

series4.0ms (0.2%)

rewrite71.0ms (3.4%)

simplify91.0ms (4.3%)

localize4.0ms (0.2%)

localize5.0ms (0.2%)

localize5.0ms (0.2%)

localize6.0ms (0.3%)

eval75.0ms (3.6%)

prune32.0ms (1.5%)

localize9.0ms (0.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes24.0ms (1.2%)

regimes28.0ms (1.3%)

bsearch29.0ms (1.4%)

regimes24.0ms (1.1%)

bsearch36.0ms (1.7%)

simplify7.0ms (0.3%)

soundness122.0ms (5.8%)

end37.0ms (1.8%)

Profiling