Details

analyze328.0ms (9.5%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.6%	25%	72.5%	0.1%	2.3%	0%	0%	9
38.6%	37.4%	59.7%	0.1%	2.7%	0%	0%	10
46.4%	44.5%	51.3%	0.1%	4.1%	0%	0%	11
53.7%	50.3%	43.4%	0.1%	6.1%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (31.2%)

Results

997.0ms	8256×	body	256	valid
60.0ms	636×	body	256	infinite

Bogosity

preprocess34.0ms (1%)

Algorithm

2×	egg-herbie

Rules

50×	`+-commutative`
44×	`fma-def`
16×	`associate-+l+`
8×	`associate-+r+`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	100
1	41	84
2	79	84
3	93	84
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z)
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y)

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z)
(+.f64 z (+.f64 (*.f64 x y) (/.f64 y 2)))
(+.f64 z (fma.f64 x y (/.f64 y 2)))
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x)
(+.f64 x (+.f64 (/.f64 z 2) (*.f64 y z)))
(+.f64 x (fma.f64 y z (/.f64 z 2)))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x z) y))
(+.f64 (/.f64 x 2) (fma.f64 x z y))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	15	21
2	26	21
3	29	21

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x 2) (fma.f64 x y z))

eval1.0ms (0%)

Compiler: Compiled 29 to 17 computations (41.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.02%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.02%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series6.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
0.0ms	y	@	0	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
0.0ms	x	@	0	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
0.0ms	x	@	-inf	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
0.0ms	y	@	inf	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

rewrite118.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`distribute-rgt-in`
1154×	`distribute-lft-in`
454×	`associate-/r*`
414×	`associate-/l*`
326×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	231	17
2	3323	17

Stop Event

1×	node limit

Counts

1 → 100

Calls

Call 1

Inputs
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

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

Outputs

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

simplify101.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1674×	`associate-*r/`
890×	`associate-+l+`
886×	`+-commutative`
856×	`associate-+r+`
564×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	7818
1	1087	7392
2	4730	7384

Stop Event

1×	node limit

Counts

136 → 192

Calls

Call 1

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

Outputs
z
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 z (*.f64 (+.f64 1/2 y) x))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 (neg.f64 x) (fma.f64 -1 y -1/2))
(*.f64 (fma.f64 y -1 -1/2) (neg.f64 x))
(*.f64 (-.f64 -1/2 y) (neg.f64 x))
(+.f64 (.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2))) z)
(fma.f64 -1 (*.f64 x (fma.f64 -1 y -1/2)) z)
(-.f64 z (*.f64 x (fma.f64 y -1 -1/2)))
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(+.f64 (.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2))) z)
(fma.f64 -1 (*.f64 x (fma.f64 -1 y -1/2)) z)
(-.f64 z (*.f64 x (fma.f64 y -1 -1/2)))
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(+.f64 (.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2))) z)
(fma.f64 -1 (*.f64 x (fma.f64 -1 y -1/2)) z)
(-.f64 z (*.f64 x (fma.f64 y -1 -1/2)))
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(+.f64 (*.f64 1/2 x) z)
(fma.f64 1/2 x z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(*.f64 y x)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(*.f64 y x)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
z
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
z
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y x) z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 x y z)))) 1)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(-.f64 (exp.f64 (log1p.f64 z)) (-.f64 1 (*.f64 x (+.f64 y 1/2))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 z)) 1) (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) (expm1.f64 (log1p.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x y))) (-.f64 1 (+.f64 (.f64 x 1/2) z)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) 1) (fma.f64 1/2 x z))
(+.f64 (fma.f64 1/2 x z) (expm1.f64 (log1p.f64 (*.f64 y x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) (-.f64 1 (fma.f64 x y z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) (-.f64 1 (fma.f64 y x z)))
(+.f64 (fma.f64 y x z) (expm1.f64 (log1p.f64 (*.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y z))) (-.f64 1 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x z))) (-.f64 1 (*.f64 1/2 x)))
(fma.f64 1/2 x (expm1.f64 (log1p.f64 (fma.f64 y x z))))
(-.f64 (/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) z)) (-.f64 (/.f64 z (/.f64 (-.f64 (.f64 x y) z) z)) (.f64 x 1/2)))
(+.f64 (-.f64 (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 y x) z)) (.f64 (/.f64 z (-.f64 (.f64 y x) z)) z)) (*.f64 1/2 x))
(-.f64 (fma.f64 1/2 x (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 y x) z))) (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))
(-.f64 (/.f64 (.f64 (.f64 x x) 1/4) (-.f64 (.f64 x (-.f64 1/2 y)) z)) (/.f64 (pow.f64 (fma.f64 x y z) 2) (-.f64 (.f64 x (-.f64 1/2 y)) z)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))
(-.f64 (+.f64 (*.f64 x 1/2) (exp.f64 (log1p.f64 (fma.f64 x y z)))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y x z))) (-.f64 1 (*.f64 1/2 x)))
(fma.f64 1/2 x (expm1.f64 (log1p.f64 (fma.f64 y x z))))
(-.f64 (+.f64 (.f64 x 1/2) (/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) z))) (/.f64 z (/.f64 (-.f64 (.f64 x y) z) z)))
(+.f64 (-.f64 (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 y x) z)) (.f64 (/.f64 z (-.f64 (.f64 y x) z)) z)) (*.f64 1/2 x))
(-.f64 (fma.f64 1/2 x (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 y x) z))) (.f64 z (/.f64 z (-.f64 (.f64 y x) z))))
(-.f64 (+.f64 (fma.f64 x y z) (exp.f64 (log1p.f64 (*.f64 x 1/2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 x))) (-.f64 1 (fma.f64 y x z)))
(+.f64 (fma.f64 y x z) (expm1.f64 (log1p.f64 (*.f64 1/2 x))))
(-.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) (exp.f64 (log1p.f64 z))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 z)) 1) (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) (expm1.f64 (log1p.f64 z)))
(-.f64 (+.f64 (+.f64 (.f64 x 1/2) z) (exp.f64 (log1p.f64 (.f64 x y)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) 1) (fma.f64 1/2 x z))
(+.f64 (fma.f64 1/2 x z) (expm1.f64 (log1p.f64 (*.f64 y x))))
(-.f64 (+.f64 (.f64 (.f64 x (+.f64 y 1/2)) 1) (exp.f64 (log1p.f64 z))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 z)) 1) (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) (expm1.f64 (log1p.f64 z)))
(*.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 1)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(*.f64 1 (fma.f64 x 1/2 (fma.f64 x y z)))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 2))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 2) (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (/.f64 1 (-.f64 (.f64 x (-.f64 1/2 y)) z)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (-.f64 (*.f64 x (-.f64 1/2 y)) z)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) 1) (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (*.f64 1/2 x) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 x (*.f64 1/2 (fma.f64 x (-.f64 1/2 y) (neg.f64 z))) (pow.f64 (fma.f64 y x z) 2)))
(.f64 (/.f64 1 (-.f64 (.f64 x (-.f64 1/2 y)) z)) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x (-.f64 1/2 y)) z)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) 1) (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (*.f64 1/2 x) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 x (*.f64 1/2 (fma.f64 x (-.f64 1/2 y) (neg.f64 z))) (pow.f64 (fma.f64 y x z) 2)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2))) (fma.f64 x 1/2 (fma.f64 x y z)))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3))) (+.f64 (.f64 (.f64 x x) 1/4) (*.f64 (fma.f64 x y z) (fma.f64 x 1/2 (fma.f64 x y z)))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 y x z) 3))) (fma.f64 (.f64 x x) 1/4 (.f64 (fma.f64 y x z) (fma.f64 1/2 x (fma.f64 y x z)))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (/.f64 (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 y x z) 3)) (fma.f64 x (.f64 x 1/4) (*.f64 (fma.f64 y x z) (fma.f64 x (+.f64 1/2 y) z)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (.f64 x (-.f64 (.f64 x y) z)) (.f64 2 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))))) (.f64 2 (-.f64 (.f64 x y) z)))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (+.f64 (.f64 x (-.f64 (.f64 y x) z)) (.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) -2))) (.f64 2 (-.f64 (.f64 y x) z)))
(.f64 (-.f64 (.f64 y x) z) (.f64 2 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (fma.f64 x (-.f64 (.f64 y x) z) (.f64 (-.f64 (pow.f64 (.f64 y x) 2) (*.f64 z z)) -2)))))
(.f64 2 (/.f64 (.f64 (-.f64 (.f64 y x) z) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2))) (fma.f64 x (-.f64 (.f64 y x) z) (.f64 (-.f64 (pow.f64 (.f64 y x) 2) (*.f64 z z)) -2))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (.f64 x (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z)))) (.f64 2 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3))))) (.f64 2 (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (*.f64 x y) z)))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (+.f64 (.f64 x (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) -2))) (.f64 2 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (*.f64 y x) z)))))
(.f64 2 (.f64 (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z)))) (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (fma.f64 x (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z)))) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) -2)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (-.f64 (.f64 x y) z) (.f64 (/.f64 2 x) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))))) (.f64 (/.f64 2 x) (-.f64 (*.f64 x y) z)))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (-.f64 (.f64 y x) (+.f64 z (.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (/.f64 2 x))))) (.f64 (-.f64 (*.f64 y x) z) (/.f64 2 x)))
(.f64 (-.f64 (.f64 y x) z) (.f64 (/.f64 2 x) (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (+.f64 (-.f64 (.f64 y x) z) (.f64 (-.f64 (pow.f64 (.f64 y x) 2) (*.f64 z z)) (/.f64 -2 x))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 z (-.f64 z (.f64 x y))) (.f64 (/.f64 2 x) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))))) (.f64 (/.f64 2 x) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (*.f64 x y) z)))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 z (-.f64 z (.f64 y x))) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (/.f64 2 x))))) (.f64 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (/.f64 2 x)))
(.f64 (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z)))) (/.f64 (.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (/.f64 2 x)) (+.f64 (pow.f64 (.f64 y x) 2) (fma.f64 z (-.f64 z (.f64 y x)) (.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (/.f64 -2 x))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (.f64 (neg.f64 x) (-.f64 (.f64 x y) z)) (.f64 -2 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))))) (.f64 -2 (-.f64 (.f64 x y) z)))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (+.f64 (.f64 (-.f64 (.f64 y x) z) (neg.f64 x)) (.f64 2 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z))))) (.f64 (-.f64 (.f64 y x) z) -2))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (fma.f64 (-.f64 (.f64 y x) z) (neg.f64 x) (.f64 2 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z))))) (.f64 (-.f64 (*.f64 y x) z) -2))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (.f64 (neg.f64 x) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z)))) (.f64 -2 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3))))) (.f64 -2 (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (*.f64 x y) z)))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (+.f64 (.f64 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (neg.f64 x)) (.f64 2 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3))))) (.f64 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))) -2))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (fma.f64 (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z)))) (neg.f64 x) (.f64 2 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3))))) (.f64 (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z)))) -2))
(.f64 -2 (/.f64 (.f64 (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z)))) (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2))) (fma.f64 (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z)))) (neg.f64 x) (.f64 2 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3))))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)) (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x x) 1/4)) (.f64 (.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) (.f64 x -1/2))) (.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) (.f64 x -1/2)))))) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) (.f64 x -1/2)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16) (.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (+.f64 (fma.f64 y x z) (.f64 x -1/2)) (+.f64 (fma.f64 y x z) (.f64 x -1/2)))))) (-.f64 (.f64 x (.f64 x 1/4)) (.f64 (fma.f64 y x z) (+.f64 (fma.f64 y x z) (*.f64 x -1/2)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (-.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/16) (.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (fma.f64 x -1/2 (fma.f64 y x z)) (fma.f64 x -1/2 (fma.f64 y x z)))))) (-.f64 (.f64 x (.f64 x 1/4)) (.f64 (fma.f64 y x z) (fma.f64 x -1/2 (fma.f64 y x z)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)) (+.f64 (pow.f64 (.f64 (.f64 x x) 1/4) 3) (pow.f64 (.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) (.f64 x -1/2))) 3))) (+.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x x) 1/4)) (.f64 (.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) (.f64 x -1/2))) (-.f64 (.f64 (fma.f64 x y z) (+.f64 (fma.f64 x y z) (.f64 x -1/2))) (.f64 (.f64 x x) 1/4)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/64) (pow.f64 (.f64 (fma.f64 y x z) (+.f64 (fma.f64 y x z) (.f64 x -1/2))) 3))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16) (.f64 (.f64 (fma.f64 y x z) (+.f64 (fma.f64 y x z) (.f64 x -1/2))) (fma.f64 (fma.f64 y x z) (+.f64 (fma.f64 y x z) (.f64 x -1/2)) (neg.f64 (.f64 x (*.f64 x 1/4)))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 (fma.f64 y x z) (.f64 (fma.f64 x -1/2 (fma.f64 y x z)) (fma.f64 (fma.f64 y x z) (fma.f64 x -1/2 (fma.f64 y x z)) (.f64 (.f64 x x) -1/4))) (.f64 (.f64 x (pow.f64 x 3)) 1/16))) (fma.f64 (pow.f64 x 6) 1/64 (pow.f64 (*.f64 (fma.f64 y x z) (fma.f64 x -1/2 (fma.f64 y x z))) 3)))
(/.f64 (fma.f64 x 1/2 (fma.f64 x y z)) (/.f64 (-.f64 (.f64 x (-.f64 1/2 y)) z) (-.f64 (.f64 x (-.f64 1/2 y)) z)))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(/.f64 1 (/.f64 1 (fma.f64 x 1/2 (fma.f64 x y z))))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (*.f64 x (-.f64 1/2 y)) z))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)) (+.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x (-.f64 1/2 y)) z))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) 1) (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (*.f64 1/2 x) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 x (*.f64 1/2 (fma.f64 x (-.f64 1/2 y) (neg.f64 z))) (pow.f64 (fma.f64 y x z) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x (-.f64 1/2 y)) z))) (/.f64 (+.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x (-.f64 1/2 y)) z))) (fma.f64 x 1/2 (fma.f64 x y z))))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2))) (/.f64 (-.f64 (.f64 x (-.f64 1/2 y)) z) (sqrt.f64 (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2))) (fma.f64 x (-.f64 1/2 y) (neg.f64 z))) (sqrt.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2))))
(.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2))) (/.f64 (sqrt.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2))) (fma.f64 x (-.f64 1/2 y) (neg.f64 z))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3))) (/.f64 (+.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x (-.f64 1/2 y)) z))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3))) (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (*.f64 1/2 x) (fma.f64 x (-.f64 1/2 y) (neg.f64 z))))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3))) (fma.f64 x (.f64 1/2 (fma.f64 x (-.f64 1/2 y) (neg.f64 z))) (pow.f64 (fma.f64 y x z) 2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2))) (cbrt.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)))) (/.f64 (-.f64 (.f64 x (-.f64 1/2 y)) z) (cbrt.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2))) (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)))) (fma.f64 x (-.f64 1/2 y) (neg.f64 z))) (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2))) (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)))) (/.f64 (fma.f64 x (-.f64 1/2 y) (neg.f64 z)) (cbrt.f64 (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)))) (/.f64 (+.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x (-.f64 1/2 y)) z))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3))) (/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (.f64 1/2 x) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3))) (/.f64 (fma.f64 x (.f64 1/2 (fma.f64 x (-.f64 1/2 y) (neg.f64 z))) (pow.f64 (fma.f64 y x z) 2)) (.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 (pow.f64 x 3) 1/8)) (.f64 (pow.f64 (fma.f64 x y z) 3) (pow.f64 (fma.f64 x y z) 3))) (.f64 (+.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x (-.f64 1/2 y)) z))) (-.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/64) (pow.f64 (fma.f64 y x z) 6)) (.f64 (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (.f64 1/2 x) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))) (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 y x z) 3))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/64) (pow.f64 (fma.f64 y x z) 6)) (-.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 y x z) 3))) (fma.f64 x (*.f64 1/2 (fma.f64 x (-.f64 1/2 y) (neg.f64 z))) (pow.f64 (fma.f64 y x z) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (fma.f64 x y z) (*.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 x (.f64 x 1/4))) (-.f64 (fma.f64 y x z) (*.f64 1/2 x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (.f64 x x) -1/4)) (fma.f64 x -1/2 (fma.f64 y x z)))
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y 1/2)) (.f64 x (+.f64 y 1/2))) (.f64 z z)) (-.f64 (*.f64 x (+.f64 y 1/2)) z))
(/.f64 (*.f64 (fma.f64 1/2 x (fma.f64 y x z)) (fma.f64 x (+.f64 1/2 y) (neg.f64 z))) (fma.f64 x (+.f64 1/2 y) (neg.f64 z)))
(/.f64 (fma.f64 x (+.f64 1/2 y) z) (/.f64 (fma.f64 x (+.f64 1/2 y) (neg.f64 z)) (fma.f64 x (+.f64 1/2 y) (neg.f64 z))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x x) 1/4)) (.f64 (pow.f64 (fma.f64 x y z) 2) (pow.f64 (fma.f64 x y z) 2))) (.f64 (-.f64 (.f64 x (-.f64 1/2 y)) z) (+.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16) (pow.f64 (fma.f64 y x z) 4)) (.f64 (fma.f64 x (-.f64 1/2 y) (neg.f64 z)) (fma.f64 (.f64 x x) 1/4 (pow.f64 (fma.f64 y x z) 2))))
(/.f64 (-.f64 (.f64 (.f64 x (pow.f64 x 3)) 1/16) (pow.f64 (fma.f64 y x z) 4)) (.f64 (fma.f64 x (-.f64 1/2 y) (neg.f64 z)) (fma.f64 x (.f64 x 1/4) (pow.f64 (fma.f64 y x z) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 3) 1/8) 3) (pow.f64 (pow.f64 (fma.f64 x y z) 3) 3)) (.f64 (+.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x (-.f64 1/2 y)) z))) (+.f64 (.f64 (.f64 (pow.f64 x 3) 1/8) (.f64 (pow.f64 x 3) 1/8)) (.f64 (pow.f64 (fma.f64 x y z) 3) (-.f64 (pow.f64 (fma.f64 x y z) 3) (.f64 (pow.f64 x 3) 1/8))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 1/512) (pow.f64 (pow.f64 (fma.f64 y x z) 3) 3)) (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (.f64 1/2 x) (fma.f64 x (-.f64 1/2 y) (neg.f64 z))))) (+.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/64) (.f64 (pow.f64 (fma.f64 y x z) 3) (-.f64 (pow.f64 (fma.f64 y x z) 3) (*.f64 (pow.f64 x 3) 1/8)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/512 (pow.f64 (pow.f64 (fma.f64 y x z) 3) 3)) (fma.f64 x (.f64 1/2 (fma.f64 x (-.f64 1/2 y) (neg.f64 z))) (pow.f64 (fma.f64 y x z) 2))) (fma.f64 (pow.f64 (fma.f64 y x z) 3) (+.f64 (pow.f64 (fma.f64 y x z) 3) (.f64 (pow.f64 x 3) -1/8)) (*.f64 (pow.f64 x 6) 1/64)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x (+.f64 y 1/2)) 3)) (+.f64 (.f64 (.f64 x (+.f64 y 1/2)) (.f64 x (+.f64 y 1/2))) (.f64 z (-.f64 z (.f64 x (+.f64 y 1/2))))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 3)) (fma.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y)) (.f64 z (-.f64 z (*.f64 x (+.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 3)) (fma.f64 z (-.f64 z (.f64 x (+.f64 1/2 y))) (.f64 (+.f64 1/2 y) (.f64 (+.f64 1/2 y) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) 1/4) 3) (pow.f64 (pow.f64 (fma.f64 x y z) 2) 3)) (.f64 (-.f64 (.f64 x (-.f64 1/2 y)) z) (+.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x x) 1/4)) (.f64 (pow.f64 (fma.f64 x y z) 2) (+.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2))))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/64) (pow.f64 (pow.f64 (fma.f64 y x z) 2) 3)) (fma.f64 x (-.f64 1/2 y) (neg.f64 z))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16) (.f64 (pow.f64 (fma.f64 y x z) 2) (fma.f64 (.f64 x x) 1/4 (pow.f64 (fma.f64 y x z) 2)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/64) (pow.f64 (fma.f64 y x z) 6)) (.f64 (fma.f64 x (-.f64 1/2 y) (neg.f64 z)) (fma.f64 (pow.f64 (fma.f64 y x z) 2) (fma.f64 x (.f64 x 1/4) (pow.f64 (fma.f64 y x z) 2)) (.f64 (*.f64 x (pow.f64 x 3)) 1/16))))
(/.f64 (+.f64 (.f64 x (-.f64 (.f64 x y) z)) (.f64 2 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) (.f64 2 (-.f64 (*.f64 x y) z)))
(/.f64 (fma.f64 x (-.f64 (.f64 y x) z) (.f64 2 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)))) (.f64 2 (-.f64 (.f64 y x) z)))
(/.f64 (fma.f64 2 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (.f64 x (-.f64 (.f64 y x) z))) (.f64 2 (-.f64 (.f64 y x) z)))
(/.f64 (+.f64 (.f64 x (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z)))) (.f64 2 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))) (.f64 2 (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z)))))
(/.f64 (fma.f64 x (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (.f64 2 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)))) (.f64 2 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (*.f64 y x) z)))))
(/.f64 (fma.f64 x (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z)))) (.f64 2 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)))) (.f64 2 (fma.f64 z z (.f64 y (.f64 x (-.f64 (*.f64 y x) z))))))
(/.f64 (+.f64 (-.f64 (.f64 x y) z) (.f64 (/.f64 2 x) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) (.f64 (/.f64 2 x) (-.f64 (.f64 x y) z)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (/.f64 2 x) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (*.f64 y x) z) (/.f64 2 x)))
(.f64 x (/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (/.f64 2 x) (-.f64 (.f64 y x) z)) (.f64 2 (-.f64 (.f64 y x) z))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (+.f64 (.f64 z (-.f64 z (.f64 x y))) (.f64 (/.f64 2 x) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3))))) (.f64 (/.f64 2 x) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z)))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 2) (fma.f64 z (-.f64 z (.f64 y x)) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (/.f64 2 x)))) (.f64 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (/.f64 2 x)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 2) (fma.f64 z (-.f64 z (.f64 y x)) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (/.f64 2 x)))) (.f64 2 (fma.f64 z z (.f64 y (.f64 x (-.f64 (*.f64 y x) z)))))) x)
(/.f64 (+.f64 (.f64 (neg.f64 x) (-.f64 (.f64 x y) z)) (.f64 -2 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) (.f64 -2 (-.f64 (*.f64 x y) z)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) -2 (.f64 (-.f64 (.f64 y x) z) (neg.f64 x))) (.f64 (-.f64 (.f64 y x) z) -2))
(/.f64 (+.f64 (.f64 (neg.f64 x) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z)))) (.f64 -2 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))) (.f64 -2 (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z)))))
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) -2)) (.f64 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))) -2))
(/.f64 (fma.f64 (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z)))) (neg.f64 x) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) -2)) (.f64 (fma.f64 z z (.f64 y (.f64 x (-.f64 (*.f64 y x) z)))) -2))
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) 2) (.f64 (-.f64 (.f64 x y) z) x)) (.f64 (-.f64 (*.f64 x y) z) 2))
(/.f64 (fma.f64 x (-.f64 (.f64 y x) z) (.f64 2 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)))) (.f64 2 (-.f64 (.f64 y x) z)))
(/.f64 (fma.f64 2 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (.f64 x (-.f64 (.f64 y x) z))) (.f64 2 (-.f64 (.f64 y x) z)))
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) (/.f64 2 x)) (.f64 (-.f64 (.f64 x y) z) 1)) (.f64 (-.f64 (*.f64 x y) z) (/.f64 2 x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (/.f64 2 x) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (*.f64 y x) z) (/.f64 2 x)))
(.f64 x (/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (/.f64 2 x) (-.f64 (.f64 y x) z)) (.f64 2 (-.f64 (.f64 y x) z))))
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) -2) (.f64 (-.f64 (.f64 x y) z) (neg.f64 x))) (.f64 (-.f64 (*.f64 x y) z) -2))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) -2 (.f64 (-.f64 (.f64 y x) z) (neg.f64 x))) (.f64 (-.f64 (.f64 y x) z) -2))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) 2) (.f64 (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z))) x)) (.f64 (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z))) 2))
(/.f64 (fma.f64 x (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (.f64 2 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)))) (.f64 2 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (*.f64 y x) z)))))
(/.f64 (fma.f64 x (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z)))) (.f64 2 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)))) (.f64 2 (fma.f64 z z (.f64 y (.f64 x (-.f64 (*.f64 y x) z))))))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (/.f64 2 x)) (.f64 (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z))) 1)) (.f64 (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z))) (/.f64 2 x)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (/.f64 2 x) (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))) (.f64 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (/.f64 2 x)))
(.f64 x (/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (/.f64 2 x) (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z))))) (.f64 2 (fma.f64 z z (.f64 y (.f64 x (-.f64 (*.f64 y x) z)))))))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) -2) (.f64 (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z))) (neg.f64 x))) (.f64 (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z))) -2))
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) -2)) (.f64 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))) -2))
(/.f64 (fma.f64 (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z)))) (neg.f64 x) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) -2)) (.f64 (fma.f64 z z (.f64 y (.f64 x (-.f64 (*.f64 y x) z)))) -2))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2))) (neg.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) z)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x (-.f64 1/2 y)) z)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) 1) (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (*.f64 1/2 x) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 x (*.f64 1/2 (fma.f64 x (-.f64 1/2 y) (neg.f64 z))) (pow.f64 (fma.f64 y x z) 2)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) 1) (-.f64 (*.f64 x (-.f64 1/2 y)) z))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (sqrt.f64 (-.f64 (.f64 x (-.f64 1/2 y)) z))) (sqrt.f64 (-.f64 (.f64 x (-.f64 1/2 y)) z)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 x (-.f64 1/2 y)) z)) (cbrt.f64 (-.f64 (.f64 x (-.f64 1/2 y)) z)))) (cbrt.f64 (-.f64 (.f64 x (-.f64 1/2 y)) z)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (fma.f64 x y z) 2)) (+.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (fma.f64 x y z)))) (-.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (fma.f64 x y z))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (.f64 (-.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (fma.f64 y x z))) (+.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (fma.f64 y x z)))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (fma.f64 y x z) 2)) (.f64 (+.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (fma.f64 y x z))) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (fma.f64 y x z)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)) 1) (+.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x (-.f64 1/2 y)) z))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) 1) (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (*.f64 1/2 x) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 x (*.f64 1/2 (fma.f64 x (-.f64 1/2 y) (neg.f64 z))) (pow.f64 (fma.f64 y x z) 2)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x (-.f64 1/2 y)) z))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (-.f64 (*.f64 x (-.f64 1/2 y)) z)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) 1) (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (*.f64 1/2 x) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 x (*.f64 1/2 (fma.f64 x (-.f64 1/2 y) (neg.f64 z))) (pow.f64 (fma.f64 y x z) 2)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (fma.f64 x y z) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x (-.f64 1/2 y)) z)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x (-.f64 1/2 y)) z)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (.f64 x 1/2) (-.f64 (*.f64 x (-.f64 1/2 y)) z)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) 1) (+.f64 (pow.f64 (fma.f64 y x z) 2) (.f64 (*.f64 1/2 x) (fma.f64 x (-.f64 1/2 y) (neg.f64 z)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 y x z) 3)) (fma.f64 x (*.f64 1/2 (fma.f64 x (-.f64 1/2 y) (neg.f64 z))) (pow.f64 (fma.f64 y x z) 2)))
(/.f64 (/.f64 (+.f64 (.f64 x (-.f64 (.f64 x y) z)) (.f64 2 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) 2) (-.f64 (.f64 x y) z))
(/.f64 (fma.f64 x (-.f64 (.f64 y x) z) (.f64 2 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)))) (.f64 2 (-.f64 (.f64 y x) z)))
(/.f64 (fma.f64 2 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (.f64 x (-.f64 (.f64 y x) z))) (.f64 2 (-.f64 (.f64 y x) z)))
(/.f64 (/.f64 (+.f64 (.f64 x (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z)))) (.f64 2 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))) 2) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (*.f64 x y) z))))
(/.f64 (fma.f64 x (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (.f64 2 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)))) (.f64 2 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (*.f64 y x) z)))))
(/.f64 (fma.f64 x (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z)))) (.f64 2 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)))) (.f64 2 (fma.f64 z z (.f64 y (.f64 x (-.f64 (*.f64 y x) z))))))
(/.f64 (/.f64 (+.f64 (-.f64 (.f64 x y) z) (.f64 (/.f64 2 x) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) (/.f64 2 x)) (-.f64 (*.f64 x y) z))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (/.f64 2 x) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (*.f64 y x) z) (/.f64 2 x)))
(.f64 x (/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (/.f64 2 x) (-.f64 (.f64 y x) z)) (.f64 2 (-.f64 (.f64 y x) z))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (+.f64 (.f64 z (-.f64 z (.f64 x y))) (.f64 (/.f64 2 x) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3))))) (/.f64 2 x)) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (*.f64 x y) z))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 2) (fma.f64 z (-.f64 z (.f64 y x)) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (/.f64 2 x)))) (.f64 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (/.f64 2 x)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 2) (fma.f64 z (-.f64 z (.f64 y x)) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (/.f64 2 x)))) (.f64 2 (fma.f64 z z (.f64 y (.f64 x (-.f64 (*.f64 y x) z)))))) x)
(/.f64 (/.f64 (+.f64 (.f64 (neg.f64 x) (-.f64 (.f64 x y) z)) (.f64 -2 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) -2) (-.f64 (.f64 x y) z))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) -2 (.f64 (-.f64 (.f64 y x) z) (neg.f64 x))) (.f64 (-.f64 (.f64 y x) z) -2))
(/.f64 (/.f64 (+.f64 (.f64 (neg.f64 x) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z)))) (.f64 -2 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))) -2) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (*.f64 x y) z))))
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) -2)) (.f64 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))) -2))
(/.f64 (fma.f64 (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z)))) (neg.f64 x) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) -2)) (.f64 (fma.f64 z z (.f64 y (.f64 x (-.f64 (*.f64 y x) z)))) -2))
(/.f64 (/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) 2) (.f64 (-.f64 (.f64 x y) z) x)) (-.f64 (.f64 x y) z)) 2)
(/.f64 (fma.f64 x (-.f64 (.f64 y x) z) (.f64 2 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)))) (.f64 2 (-.f64 (.f64 y x) z)))
(/.f64 (fma.f64 2 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (.f64 x (-.f64 (.f64 y x) z))) (.f64 2 (-.f64 (.f64 y x) z)))
(/.f64 (/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) (/.f64 2 x)) (.f64 (-.f64 (.f64 x y) z) 1)) (-.f64 (.f64 x y) z)) (/.f64 2 x))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (/.f64 2 x) (-.f64 (.f64 y x) z)) (.f64 (-.f64 (*.f64 y x) z) (/.f64 2 x)))
(.f64 x (/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) (/.f64 2 x) (-.f64 (.f64 y x) z)) (.f64 2 (-.f64 (.f64 y x) z))))
(/.f64 (/.f64 (+.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)) -2) (.f64 (-.f64 (.f64 x y) z) (neg.f64 x))) (-.f64 (.f64 x y) z)) -2)
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 z z)) -2 (.f64 (-.f64 (.f64 y x) z) (neg.f64 x))) (.f64 (-.f64 (.f64 y x) z) -2))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) 2) (.f64 (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z))) x)) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (*.f64 x y) z)))) 2)
(/.f64 (fma.f64 x (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (.f64 2 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)))) (.f64 2 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (*.f64 y x) z)))))
(/.f64 (fma.f64 x (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z)))) (.f64 2 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)))) (.f64 2 (fma.f64 z z (.f64 y (.f64 x (-.f64 (*.f64 y x) z))))))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (/.f64 2 x)) (.f64 (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z))) 1)) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (*.f64 x y) z)))) (/.f64 2 x))
(/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (/.f64 2 x) (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z)))) (.f64 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (/.f64 2 x)))
(.f64 x (/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) (/.f64 2 x) (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z))))) (.f64 2 (fma.f64 z z (.f64 y (.f64 x (-.f64 (*.f64 y x) z)))))))
(/.f64 (/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) -2) (.f64 (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (.f64 x y) z))) (neg.f64 x))) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (*.f64 x y) z)))) -2)
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 z z (.f64 (.f64 y x) (-.f64 (.f64 y x) z))) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) -2)) (.f64 (fma.f64 z z (.f64 (.f64 y x) (-.f64 (*.f64 y x) z))) -2))
(/.f64 (fma.f64 (fma.f64 z z (.f64 y (.f64 x (-.f64 (.f64 y x) z)))) (neg.f64 x) (.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 z 3)) -2)) (.f64 (fma.f64 z z (.f64 y (.f64 x (-.f64 (*.f64 y x) z)))) -2))
(pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 1)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 2)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 3)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 3) 1/3)
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (fma.f64 y x z)) 2))
(fabs.f64 (fma.f64 x (+.f64 1/2 y) z))
(log.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 x y z))))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (fma.f64 x y z)))))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x y z)) 3))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 x y z))))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(exp.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 x y z))))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 x y z))) 1))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (fma.f64 x y z))))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 x 1/2 (fma.f64 x y z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 1 (*.f64 x 1/2) (fma.f64 x y z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 1 (fma.f64 x y z) (*.f64 x 1/2))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (fma.f64 x y z))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (*.f64 x 1/2)) (fma.f64 x y z))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (*.f64 1/2 x)) (fma.f64 y x z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))
(fma.f64 1/2 x (fma.f64 y x z))
(fma.f64 x (+.f64 1/2 y) z)

eval134.0ms (3.9%)

Compiler: Compiled 5773 to 2620 computations (54.6% saved)

prune51.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	186	6	192
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	187	6	193

Error

Counts

193 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.01%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
▶	41.24%	(+.f64 (.f64 1/2 x) (.f64 y x))
▶	28.83%	(+.f64 (*.f64 1/2 x) z)
▶	41.22%	(*.f64 (+.f64 1/2 y) x)
▶	69.48%	(*.f64 y x)
	56.47%	z

Compiler

Compiled 88 to 63 computations (28.4% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 x (-.f64 -1/2 y))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite79.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`add-sqr-sqrt`
1578×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1462×	`add-cbrt-cube`
1448×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	151	13
2	1903	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

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

Outputs

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

simplify47.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1152×	`fma-def`
1058×	`distribute-lft-neg-out`
930×	`distribute-rgt-neg-out`
878×	`associate-r`
802×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	772
1	162	624
2	488	624
3	3013	624

Stop Event

1×	node limit

Counts

42 → 35

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 (+.f64 1/2 y) x)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite87.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`add-sqr-sqrt`
1554×	`*-un-lft-identity`
1456×	`add-cube-cbrt`
1440×	`add-cbrt-cube`
1426×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	150	13
2	1886	13

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify75.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

976×	`*-commutative`
900×	`log-prod`
892×	`+-commutative`
882×	`fma-def`
766×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	494
1	143	486
2	434	486
3	2382	486
4	4693	486
5	7408	486

Stop Event

1×	node limit

Counts

32 → 32

Calls

Call 1

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

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

localize5.0ms (0.2%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (.f64 1/2 x) (.f64 y x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite61.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`add-sqr-sqrt`
1844×	`*-un-lft-identity`
1724×	`add-cube-cbrt`
1708×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	174	13
2	2274	13

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify63.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1424×	`associate-/r/`
1108×	`associate-+r+`
892×	`associate-+l+`
826×	`times-frac`
492×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1330
1	317	1260
2	1198	1214
3	5165	1178

Stop Event

1×	node limit

Counts

58 → 56

Calls

Call 1

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

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

eval29.0ms (0.9%)

Compiler: Compiled 1426 to 876 computations (38.6% saved)

prune20.0ms (0.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	0	1	1
Picked	0	1	1
Done	1	3	4
Total	122	7	129

Error

Counts

129 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.53%	(-.f64 z (*.f64 y (neg.f64 x)))
✓	41.24%	(+.f64 (.f64 1/2 x) (.f64 y x))
✓	28.83%	(+.f64 (*.f64 1/2 x) z)
✓	41.22%	(*.f64 (+.f64 1/2 y) x)
✓	69.48%	(*.f64 y x)
▶	69.74%	(*.f64 1/2 x)
	56.47%	z

Compiler

Compiled 51 to 37 computations (27.5% saved)

localize3.0ms (0.1%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize7.0ms (0.2%)

Compiler: Compiled 18 to 6 computations (66.7% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.53%	(-.f64 z (*.f64 y (neg.f64 x)))
✓	41.24%	(+.f64 (.f64 1/2 x) (.f64 y x))
✓	28.83%	(+.f64 (*.f64 1/2 x) z)
✓	41.22%	(*.f64 (+.f64 1/2 y) x)
✓	69.48%	(*.f64 y x)
✓	69.74%	(*.f64 1/2 x)
	56.47%	z

Compiler

Compiled 51 to 37 computations (27.5% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.53%	(-.f64 z (*.f64 y (neg.f64 x)))
✓	41.24%	(+.f64 (.f64 1/2 x) (.f64 y x))
✓	28.83%	(+.f64 (*.f64 1/2 x) z)
✓	41.22%	(*.f64 (+.f64 1/2 y) x)
✓	69.48%	(*.f64 y x)
✓	69.74%	(*.f64 1/2 x)
	56.47%	z

Compiler

Compiled 51 to 37 computations (27.5% saved)

regimes34.0ms (1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
7.0ms	y
6.0ms	z
6.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
6.0ms	x

Results

Error	Segments	Branch
0.01%	1	`x`
0.01%	1	`y`
0.01%	1	`z`
0.01%	1	`(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)`
0.01%	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 92 to 55 computations (40.2% saved)

regimes75.0ms (2.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	z
24.0ms	x
15.0ms	y

Results

Error	Segments	Branch
9.87%	5	`x`
1.33%	3	`y`
10.03%	7	`z`

Compiler

Compiled 45 to 27 computations (40% saved)

bsearch35.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.0909180124780034e-10	1.421239100423398e-6
20.0ms	-518344103690.503	-5.123618778435377e-7

Results

31.0ms	288×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 360 to 265 computations (26.4% saved)

regimes54.0ms (1.6%)

Counts

5 → 5

Calls

Call 1

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

Outputs
(+.f64 (*.f64 1/2 x) z)
(*.f64 (+.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) z)
(*.f64 (+.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) z)

Calls

3 calls:

22.0ms	z
17.0ms	x
14.0ms	y

Results

Error	Segments	Branch
16.72%	3	`x`
13.02%	3	`y`
12.91%	5	`z`

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch52.0ms (1.5%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.255447937255152e+88	8.731095617664455e+90
13.0ms	-4.1558290914106344e-78	-9.351347816508347e-80
15.0ms	-1.755559090525247e-40	-2.4384243756389183e-44
11.0ms	-48412302627649.34	-2247858167443.2705

Results

46.0ms

464×

body

256

valid

Compiler

Compiled 540 to 419 computations (22.4% saved)

regimes55.0ms (1.6%)

Counts

4 → 3

Calls

Call 1

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

Outputs
z
(*.f64 (+.f64 1/2 y) x)
z

Calls

3 calls:

26.0ms	y
17.0ms	z
12.0ms	x

Results

Error	Segments	Branch
22.06%	3	`x`
33.17%	7	`y`
19.14%	3	`z`

Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch37.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.5129129112124526e+120	4.232621474552428e+126
16.0ms	-5.111152406533518e+107	-5.745332274561802e+89

Results

27.0ms

304×

body

256

valid

Compiler

Compiled 284 to 222 computations (21.8% saved)

regimes141.0ms (4.1%)

Counts

3 → 10

Calls

Call 1

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

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

Calls

3 calls:

73.0ms	z
43.0ms	x
25.0ms	y

Results

Error	Segments	Branch
33.48%	7	`x`
34.88%	7	`y`
33.01%	10	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch131.0ms (3.8%)

Algorithm

9×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.1367151404823672e+69	1.8226201575177882e+77
27.0ms	1.142032466026903e+43	2.9851375410056954e+43
16.0ms	4.96518414980394e-40	2.5972648484627197e-29
9.0ms	7.661889234668265e-258	1.599344598865664e-257
12.0ms	-9.493334607526107e-264	-2.3074187523425536e-265
17.0ms	-1.498175462321877e-207	-4.807731339649114e-213
12.0ms	-4.1558290914106344e-78	-9.351347816508347e-80
10.0ms	-2.4384243756389183e-44	-4.32689635756658e-45
13.0ms	-48412302627649.34	-2247858167443.2705

Results

117.0ms

1040×

body

256

valid

Compiler

Compiled 870 to 692 computations (20.5% saved)

regimes80.0ms (2.3%)

Accuracy

Total -36.5b remaining (-142.1%)

Threshold costs -36.5b (-142.1%)

Counts

2 → 5

Calls

Call 1

Inputs
z
(*.f64 1/2 x)

Outputs
z
(*.f64 1/2 x)
z
(*.f64 1/2 x)
z

Calls

3 calls:

54.0ms	z
16.0ms	y
9.0ms	x

Results

Error	Segments	Branch
40.97%	3	`x`
49.87%	5	`y`
40.12%	5	`z`

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch83.0ms (2.4%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.8866650362110888e-63	4.96518414980394e-40
15.0ms	-2.4920396229656686e-112	-3.3967111111311815e-115
38.0ms	-2.4384243756389183e-44	-4.32689635756658e-45
11.0ms	-48412302627649.34	-2247858167443.2705

Results

76.0ms

512×

body

256

valid

Compiler

Compiled 402 to 333 computations (17.2% saved)

simplify44.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

80×	`distribute-lft-neg-in`
44×	`distribute-rgt-neg-in`
42×	`*-commutative`
34×	`+-commutative`
24×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	389
1	120	379
2	153	373
3	201	369
4	255	369
5	286	369
6	309	369
7	318	369
8	320	369

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(if (<=.f64 y -1/2) (-.f64 z (.f64 y (neg.f64 x))) (if (<=.f64 y 6611313076017503/4722366482869645213696) (+.f64 (.f64 1/2 x) z) (-.f64 z (*.f64 y (neg.f64 x)))))
(if (<=.f64 z -14500000000000) (+.f64 (.f64 1/2 x) z) (if (<=.f64 z -5021681388309345/6277101735386680763835789423207666416102355444464034512896) (.f64 (+.f64 1/2 y) x) (if (<=.f64 z -5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (+.f64 (.f64 1/2 x) z) (if (<=.f64 z 63999999999999997402670365206423214815487749737500892138863296627629051068861083233026048) (.f64 (+.f64 1/2 y) x) (+.f64 (*.f64 1/2 x) z)))))
(if (<=.f64 z -18999999999999998444963470117641451090879953348211959890443584225875511350391060305153096316948624441344) z (if (<=.f64 z 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800) (*.f64 (+.f64 1/2 y) x) z))
(if (<=.f64 z -5500000000000) z (if (<=.f64 z -2490753968601435/401734511064747568885490523085290650630550748445698208825344) (.f64 1/2 x) (if (<=.f64 z -4276145921521353/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) z (if (<=.f64 z -4974804678087599/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) (.f64 y x) (if (<=.f64 z -4991817014543339/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (.f64 1/2 x) (if (<=.f64 z 7681825118337481/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) (.f64 y x) (if (<=.f64 z 2244866514940267/374144419156711147060143317175368453031918731001856) (.f64 1/2 x) (if (<=.f64 z 21200000000000001137268114668016477088514048) (.f64 y x) (if (<=.f64 z 17000000000000000810065649207011672237788585470505538565037574920469479424) (*.f64 1/2 x) z)))))))))
(if (<=.f64 z -13500000000000) z (if (<=.f64 z -8637291987892073/401734511064747568885490523085290650630550748445698208825344) (.f64 1/2 x) (if (<=.f64 z -3574144527577613/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) z (if (<=.f64 z 6211571712111507/13803492693581127574869511724554050904902217944340773110325048447598592) (.f64 1/2 x) z))))
z

Outputs
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(+.f64 z (*.f64 x (+.f64 y 1/2)))
(if (<=.f64 y -1/2) (-.f64 z (.f64 y (neg.f64 x))) (if (<=.f64 y 6611313076017503/4722366482869645213696) (+.f64 (.f64 1/2 x) z) (-.f64 z (*.f64 y (neg.f64 x)))))
(if (or (<=.f64 y -1/2) (not (<=.f64 y 6611313076017503/4722366482869645213696))) (-.f64 z (.f64 y (neg.f64 x))) (+.f64 z (.f64 x 1/2)))
(if (or (<=.f64 y -1/2) (not (<=.f64 y 6611313076017503/4722366482869645213696))) (+.f64 z (.f64 x y)) (+.f64 z (.f64 x 1/2)))
(if (<=.f64 z -14500000000000) (+.f64 (.f64 1/2 x) z) (if (<=.f64 z -5021681388309345/6277101735386680763835789423207666416102355444464034512896) (.f64 (+.f64 1/2 y) x) (if (<=.f64 z -5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (+.f64 (.f64 1/2 x) z) (if (<=.f64 z 63999999999999997402670365206423214815487749737500892138863296627629051068861083233026048) (.f64 (+.f64 1/2 y) x) (+.f64 (*.f64 1/2 x) z)))))
(if (<=.f64 z -14500000000000) (+.f64 z (.f64 x 1/2)) (if (<=.f64 z -5021681388309345/6277101735386680763835789423207666416102355444464034512896) (.f64 x (+.f64 y 1/2)) (if (or (<=.f64 z -5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (not (<=.f64 z 63999999999999997402670365206423214815487749737500892138863296627629051068861083233026048))) (+.f64 z (.f64 x 1/2)) (.f64 x (+.f64 y 1/2)))))
(if (<=.f64 z -14500000000000) (+.f64 z (.f64 x 1/2)) (if (or (<=.f64 z -5021681388309345/6277101735386680763835789423207666416102355444464034512896) (not (or (<=.f64 z -5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (not (<=.f64 z 63999999999999997402670365206423214815487749737500892138863296627629051068861083233026048))))) (.f64 x (+.f64 y 1/2)) (+.f64 z (*.f64 x 1/2))))
(if (or (<=.f64 z -14500000000000) (not (or (<=.f64 z -5021681388309345/6277101735386680763835789423207666416102355444464034512896) (not (or (<=.f64 z -5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (not (<=.f64 z 63999999999999997402670365206423214815487749737500892138863296627629051068861083233026048))))))) (+.f64 z (.f64 x 1/2)) (.f64 x (+.f64 y 1/2)))
(if (or (<=.f64 z -14500000000000) (not (or (<=.f64 z -5021681388309345/6277101735386680763835789423207666416102355444464034512896) (and (not (<=.f64 z -5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024)) (<=.f64 z 63999999999999997402670365206423214815487749737500892138863296627629051068861083233026048))))) (+.f64 z (.f64 x 1/2)) (.f64 x (+.f64 y 1/2)))
(if (<=.f64 z -18999999999999998444963470117641451090879953348211959890443584225875511350391060305153096316948624441344) z (if (<=.f64 z 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800) (*.f64 (+.f64 1/2 y) x) z))
(if (<=.f64 z -18999999999999998444963470117641451090879953348211959890443584225875511350391060305153096316948624441344) z (if (<=.f64 z 2400000000000000009345789433497870626275654845504993963566880677600881888545549925788566546044102057161926408187727052800) (*.f64 x (+.f64 y 1/2)) z))
(if (<=.f64 z -5500000000000) z (if (<=.f64 z -2490753968601435/401734511064747568885490523085290650630550748445698208825344) (.f64 1/2 x) (if (<=.f64 z -4276145921521353/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) z (if (<=.f64 z -4974804678087599/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) (.f64 y x) (if (<=.f64 z -4991817014543339/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (.f64 1/2 x) (if (<=.f64 z 7681825118337481/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) (.f64 y x) (if (<=.f64 z 2244866514940267/374144419156711147060143317175368453031918731001856) (.f64 1/2 x) (if (<=.f64 z 21200000000000001137268114668016477088514048) (.f64 y x) (if (<=.f64 z 17000000000000000810065649207011672237788585470505538565037574920469479424) (*.f64 1/2 x) z)))))))))
(if (<=.f64 z -5500000000000) z (if (<=.f64 z -2490753968601435/401734511064747568885490523085290650630550748445698208825344) (.f64 x 1/2) (if (<=.f64 z -4276145921521353/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512) z (if (<=.f64 z -4974804678087599/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) (.f64 x y) (if (<=.f64 z -4991817014543339/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (.f64 x 1/2) (if (<=.f64 z 7681825118337481/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) (.f64 x y) (if (<=.f64 z 2244866514940267/374144419156711147060143317175368453031918731001856) (.f64 x 1/2) (if (<=.f64 z 21200000000000001137268114668016477088514048) (.f64 x y) (if (<=.f64 z 17000000000000000810065649207011672237788585470505538565037574920469479424) (*.f64 x 1/2) z)))))))))
(if (<=.f64 z -13500000000000) z (if (<=.f64 z -8637291987892073/401734511064747568885490523085290650630550748445698208825344) (.f64 1/2 x) (if (<=.f64 z -3574144527577613/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) z (if (<=.f64 z 6211571712111507/13803492693581127574869511724554050904902217944340773110325048447598592) (.f64 1/2 x) z))))
(if (<=.f64 z -13500000000000) z (if (<=.f64 z -8637291987892073/401734511064747568885490523085290650630550748445698208825344) (.f64 x 1/2) (if (<=.f64 z -3574144527577613/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608) z (if (<=.f64 z 6211571712111507/13803492693581127574869511724554050904902217944340773110325048447598592) (.f64 x 1/2) z))))
z

Compiler

Compiled 176 to 118 computations (33% saved)

soundness135.0ms (3.9%)

Algorithm

2×	egg-herbie

Rules

1674×	`associate-*r/`
890×	`associate-+l+`
886×	`+-commutative`
856×	`associate-+r+`
564×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	15	21
2	26	21
3	29	21
0	362	7818
1	1087	7392
2	4730	7384

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 135 to 89 computations (34.1% saved)

end99.0ms (2.9%)

Compiler: Compiled 158 to 99 computations (37.3% saved)

Iter	Nodes	Cost
0	84	389
1	120	379
2	153	373
3	201	369
4	255	369
5	286	369
6	309	369
7	318	369
8	320	369

Iter	Nodes	Cost
0	84	389
1	120	379
2	153	373
3	201	369
4	255	369
5	286	369
6	309	369
7	318	369
8	320	369

Details

analyze328.0ms (9.5%)

sample1.1s (31.2%)

preprocess34.0ms (1%)

simplify12.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.3%)

series6.0ms (0.2%)

rewrite118.0ms (3.5%)

simplify101.0ms (3%)

eval134.0ms (3.9%)

prune51.0ms (1.5%)

localize9.0ms (0.3%)

series2.0ms (0.1%)

rewrite79.0ms (2.3%)

simplify47.0ms (1.4%)

localize3.0ms (0.1%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite87.0ms (2.5%)

simplify75.0ms (2.2%)

localize5.0ms (0.2%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite61.0ms (1.8%)

simplify63.0ms (1.8%)

eval29.0ms (0.9%)

prune20.0ms (0.6%)

localize3.0ms (0.1%)

localize7.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes34.0ms (1%)

regimes75.0ms (2.2%)

bsearch35.0ms (1%)

regimes54.0ms (1.6%)

bsearch52.0ms (1.5%)

regimes55.0ms (1.6%)

bsearch37.0ms (1.1%)

regimes141.0ms (4.1%)

bsearch131.0ms (3.8%)

regimes80.0ms (2.3%)

bsearch83.0ms (2.4%)

simplify44.0ms (1.3%)

soundness135.0ms (3.9%)

end99.0ms (2.9%)

Profiling

Iter	Nodes	Cost
0	84	389
1	120	379
2	153	373
3	201	369
4	255	369
5	286	369
6	309	369
7	318	369
8	320	369