Details

analyze62.0ms (4.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
63.2%	56.2%	32.8%	0.1%	10.9%	0%	0%	8
74.3%	65.6%	22.6%	0.1%	11.7%	0%	0%	9
79.6%	65.6%	16.8%	0.1%	17.6%	0%	0%	10
85.9%	70.2%	11.5%	0.1%	18.1%	0%	0%	11
89.2%	70.2%	8.5%	0.1%	21.2%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample771.0ms (53.5%)

Results

722.0ms	8256×	body	256	valid
35.0ms	441×	body	256	infinite

Bogosity

preprocess36.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

330×	`fma-def_binary64`
192×	`fma-neg_binary64`
60×	`cancel-sign-sub-inv_binary64`
56×	`distribute-rgt-in_binary64`
37×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	38	20
3	82	20
4	147	20
5	210	20
6	391	20
7	692	20
8	1085	20
9	1191	20
10	1209	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify20.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

230×	`fma-def_binary64`
111×	`fma-neg_binary64`
43×	`distribute-rgt-in_binary64`
39×	`cancel-sign-sub-inv_binary64`
28×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	48	10
4	84	10
5	118	10
6	209	10
7	357	10
8	552	10
9	722	10
10	822	10
11	838	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f64 1/2 (-.f64 (.f64 x x) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize18.0ms (1.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) y)
✓	0.2b	(.f64 1/2 (-.f64 (.f64 x x) y))

Compiler

Compiled 20 to 7 computations (65% saved)

series5.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

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

rewrite52.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`pow1_binary64`
721×	`add-log-exp_binary64`
721×	`log1p-expm1-u_binary64`
721×	`expm1-log1p-u_binary64`
705×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	152	17
2	1974	17

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

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

Outputs

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

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

simplify101.0ms (7%)

Algorithm

1×	egg-herbie

Rules

771×	`div-sub_binary64`
547×	`fma-neg_binary64`
453×	`fma-def_binary64`
315×	`log-prod_binary64`
287×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	138	1056
1	347	981
2	1266	981
3	5250	981

Stop Event

1×	node limit

Counts

100 → 73

Calls

Call 1

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

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

eval34.0ms (2.3%)

Compiler: Compiled 869 to 432 computations (50.3% saved)

prune9.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	4	74

Error

Counts

74 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.2b	(.f64 x (.f64 x 1/2))
▶	0.2b	(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
✓	0.3b	(.f64 1/2 (-.f64 (.f64 x x) y))
▶	18.7b	(*.f64 -1/2 y)

Compiler

Compiled 30 to 21 computations (30% saved)

localize3.0ms (0.2%)

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

localize9.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 1/2 (fma.f64 x x (neg.f64 y)))

Compiler

Compiled 19 to 7 computations (63.2% saved)

series2.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite40.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`pow1_binary64`
524×	`add-log-exp_binary64`
523×	`log1p-expm1-u_binary64`
523×	`expm1-log1p-u_binary64`
514×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	142	8
2	1667	8

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

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

Outputs

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

simplify42.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

550×	`log-prod_binary64`
537×	`fma-def_binary64`
418×	`distribute-rgt-out_binary64`
375×	`*-commutative_binary64`
329×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	335
1	107	335
2	338	335
3	2281	335
4	5160	335

Stop Event

1×	node limit

Counts

37 → 19

Calls

Call 1

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

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

localize5.0ms (0.3%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

eval4.0ms (0.3%)

Compiler: Compiled 152 to 87 computations (42.8% saved)

prune4.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	19	4	23

Error

Counts

23 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	44.2b	(.f64 x (.f64 x 1/2))
✓	0.2b	(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
✓	0.3b	(.f64 1/2 (-.f64 (.f64 x x) y))
✓	18.7b	(*.f64 -1/2 y)

Compiler

Compiled 30 to 21 computations (30% saved)

regimes20.0ms (1.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(.f64 1/2 (-.f64 (.f64 x x) y))
4.0ms	y
4.0ms	x
3.0ms	(-.f64 (*.f64 x x) y)
3.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(.f64 1/2 (-.f64 (.f64 x x) y))`
0.2b	1	`(-.f64 (*.f64 x x) y)`
0.2b	1	`(*.f64 x x)`

Compiler

Compiled 51 to 32 computations (37.3% saved)

regimes19.0ms (1.3%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(-.f64 (*.f64 x x) y)
3.0ms	(.f64 1/2 (-.f64 (.f64 x x) y))
3.0ms	y
3.0ms	x
2.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`(.f64 1/2 (-.f64 (.f64 x x) y))`
0.3b	1	`(-.f64 (*.f64 x x) y)`
0.3b	1	`(*.f64 x x)`

Compiler

Compiled 44 to 28 computations (36.4% saved)

regimes24.0ms (1.7%)

Accuracy

Total -52.2b remaining (-548.8%)

Threshold costs -52.2b (-548.8%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	y
9.0ms	x

Results

Error	Segments	Branch
9.5b	3	`x`
15.0b	5	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch27.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	4.120123087783074e+70	7.645934958516942e+71
16.0ms	-1538466334.9291165	-626.972045036293

Results

24.0ms

256×

body

256

valid

Compiler

Compiled 238 to 186 computations (21.8% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	54
1	31	54
2	34	54
3	35	54

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
(.f64 1/2 (-.f64 (.f64 x x) y))
(if (<=.f64 x -15000000) (.f64 x (.f64 x 1/2)) (if (<=.f64 x 42000000000000001513824787158339016940304698054844738513025704346517504) (.f64 -1/2 y) (.f64 x (*.f64 x 1/2))))
(*.f64 -1/2 y)

Outputs
(*.f64 1/2 (fma.f64 x x (neg.f64 y)))
(.f64 1/2 (-.f64 (.f64 x x) y))
(if (<=.f64 x -15000000) (.f64 x (.f64 x 1/2)) (if (<=.f64 x 42000000000000001513824787158339016940304698054844738513025704346517504) (.f64 -1/2 y) (.f64 x (*.f64 x 1/2))))
(if (<=.f64 x -15000000) (.f64 x (.f64 1/2 x)) (if (<=.f64 x 42000000000000001513824787158339016940304698054844738513025704346517504) (.f64 y -1/2) (.f64 x (*.f64 1/2 x))))
(*.f64 -1/2 y)
(*.f64 y -1/2)

Compiler

Compiled 46 to 32 computations (30.4% saved)

soundness97.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

771×	`div-sub_binary64`
547×	`fma-neg_binary64`
453×	`fma-def_binary64`
315×	`log-prod_binary64`
287×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	138	1056
1	347	981
2	1266	981
3	5250	981

Stop Event

1×	node limit

Compiler

Compiled 96 to 71 computations (26% saved)

end33.0ms (2.3%)

Compiler: Compiled 40 to 26 computations (35% saved)

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	48	10
4	84	10
5	118	10
6	209	10
7	357	10
8	552	10
9	722	10
10	822	10
11	838	10

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	48	10
4	84	10
5	118	10
6	209	10
7	357	10
8	552	10
9	722	10
10	822	10
11	838	10

Details

analyze62.0ms (4.3%)

sample771.0ms (53.5%)

preprocess36.0ms (2.5%)

simplify20.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize18.0ms (1.2%)

series5.0ms (0.3%)

rewrite52.0ms (3.6%)

simplify101.0ms (7%)

eval34.0ms (2.3%)

prune9.0ms (0.6%)

localize3.0ms (0.2%)

localize9.0ms (0.6%)

series2.0ms (0.2%)

rewrite40.0ms (2.8%)

simplify42.0ms (2.9%)

localize5.0ms (0.3%)

eval4.0ms (0.3%)

prune4.0ms (0.3%)

regimes20.0ms (1.4%)

regimes19.0ms (1.3%)

regimes24.0ms (1.7%)

bsearch27.0ms (1.9%)

simplify4.0ms (0.3%)

soundness97.0ms (6.8%)

end33.0ms (2.3%)

Profiling

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	48	10
4	84	10
5	118	10
6	209	10
7	357	10
8	552	10
9	722	10
10	822	10
11	838	10