Details

analyze199.0ms (6.9%)

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
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
37.6%	34.3%	56.9%	0.1%	8.6%	0%	0%	10
44.8%	40.6%	49.9%	0.1%	9.4%	0%	0%	11
53.4%	48%	41.9%	0.1%	9.9%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.1s (37.4%)

Results

922.0ms	8255×	body	256	valid
144.0ms	1146×	body	256	infinite
0.0ms	1×	body	512	valid

Bogosity

preprocess176.0ms (6.1%)

Algorithm

2×	egg-herbie

Rules

1773×	`fma-neg_binary64`
1050×	`fma-def_binary64`
360×	`unsub-neg_binary64`
348×	`distribute-rgt-in_binary64`
333×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	30	40
2	82	40
3	226	40
4	705	40
5	1931	40
6	3353	40
7	5221	40
8	5753	40
9	5861	40
10	5861	40
11	5972	40
12	5972	40
13	7115	40
14	7115	40
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort x y)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify54.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-neg_binary64`
459×	`fma-def_binary64`
156×	`cancel-sign-sub-inv_binary64`
136×	`distribute-rgt-in_binary64`
117×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	32	10
3	82	10
4	261	10
5	701	10
6	1215	10
7	1945	10
8	2505	10
9	2838	10
10	2873	10
11	2873	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 10 to 7 computations (30% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite46.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`pow1_binary64`
905×	`add-log-exp_binary64`
905×	`log1p-expm1-u_binary64`
905×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	171	10
2	2363	10

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

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

Outputs

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

simplify50.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

623×	`distribute-rgt-in_binary64`
622×	`associate-l_binary64`
617×	`distribute-lft-in_binary64`
582×	`associate-r_binary64`
378×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1012
1	369	1012
2	1262	958
3	7415	958

Stop Event

1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval17.0ms (0.6%)

Compiler: Compiled 1055 to 499 computations (52.7% saved)

prune35.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	5	73

Error

0.0b

Counts

73 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 (-.f64 1 z) y) (.f64 (-.f64 1 z) x))
▶	23.6b	(+.f64 y x)
▶	30.9b	(*.f64 (-.f64 1 z) x)
▶	40.1b	(*.f64 (+.f64 y x) (neg.f64 z))
▶	32.1b	(*.f64 y (-.f64 1 z))

Compiler

Compiled 90 to 64 computations (28.9% saved)

localize11.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 31 to 19 computations (38.7% saved)

series4.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite51.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`log-prod_binary64`
425×	`fma-def_binary64`
360×	`pow-prod-down_binary64`
357×	`exp-prod_binary64`
261×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	194	10
2	2686	10

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

Inputs
(+.f64 (.f64 (-.f64 1 z) y) (.f64 (-.f64 1 z) x))

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

Outputs

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

simplify48.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

586×	`fma-def_binary64`
545×	`associate-*l/_binary64`
398×	`associate-*r/_binary64`
300×	`unswap-sqr_binary64`
297×	`associate-/r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	213	1913
1	608	1489
2	1991	1489

Stop Event

1×	node limit

Counts

117 → 105

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize5.0ms (0.2%)

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

localize7.0ms (0.2%)

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 y x) (neg.f64 z))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series5.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite43.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`pow1_binary64`
694×	`add-log-exp_binary64`
693×	`log1p-expm1-u_binary64`
693×	`expm1-log1p-u_binary64`
679×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	153	7
2	2176	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 (+.f64 y x) (neg.f64 z))

Outputs

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

simplify48.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

638×	`log-prod_binary64`
599×	`fma-def_binary64`
386×	`associate-l_binary64`
325×	`associate-r_binary64`
221×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	509
1	186	509
2	610	509
3	3219	509
4	6258	509

Stop Event

1×	node limit

Counts

59 → 35

Calls

Call 1

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

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

eval60.0ms (2.1%)

Compiler: Compiled 2035 to 1211 computations (40.5% saved)

prune21.0ms (0.7%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	137	8	145

Error

Counts

145 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 (-.f64 1 z) y (*.f64 (-.f64 1 z) x))
✓	0.0b	(+.f64 (.f64 (-.f64 1 z) y) (.f64 (-.f64 1 z) x))
✓	23.6b	(+.f64 y x)
✓	30.9b	(*.f64 (-.f64 1 z) x)
✓	40.1b	(*.f64 (+.f64 y x) (neg.f64 z))
▶	52.7b	(*.f64 z (neg.f64 y))
✓	32.1b	(*.f64 y (-.f64 1 z))
▶	49.9b	(*.f64 x (neg.f64 z))

Compiler

Compiled 72 to 51 computations (29.2% saved)

localize4.0ms (0.2%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize4.0ms (0.2%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize33.0ms (1.2%)

Compiler: Compiled 25 to 15 computations (40% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	7	7
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 (-.f64 1 z) y (*.f64 (-.f64 1 z) x))
✓	0.0b	(+.f64 (.f64 (-.f64 1 z) y) (.f64 (-.f64 1 z) x))
✓	23.6b	(+.f64 y x)
✓	30.9b	(*.f64 (-.f64 1 z) x)
✓	40.1b	(*.f64 (+.f64 y x) (neg.f64 z))
✓	52.7b	(*.f64 z (neg.f64 y))
✓	32.1b	(*.f64 y (-.f64 1 z))
✓	49.9b	(*.f64 x (neg.f64 z))

Compiler

Compiled 72 to 51 computations (29.2% saved)

regimes57.0ms (2%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(fma.f64 (-.f64 1 z) y (*.f64 (-.f64 1 z) x))

Calls

6 calls:

28.0ms	(+.f64 x y)
8.0ms	y
5.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))
5.0ms	x
5.0ms	z

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`(*.f64 (+.f64 x y) (-.f64 1 z))`
0b	1	`(+.f64 x y)`
0b	1	`(-.f64 1 z)`

Compiler

Compiled 92 to 57 computations (38% saved)

regimes89.0ms (3.1%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(+.f64 (.f64 (-.f64 1 z) y) (.f64 (-.f64 1 z) x))

Calls

6 calls:

36.0ms	y
30.0ms	(-.f64 1 z)
7.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))
5.0ms	(+.f64 x y)
5.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(*.f64 (+.f64 x y) (-.f64 1 z))`
0.0b	1	`(+.f64 x y)`
0.0b	1	`(-.f64 1 z)`

Compiler

Compiled 82 to 51 computations (37.8% saved)

regimes35.0ms (1.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

10.0ms	(+.f64 x y)
5.0ms	z
5.0ms	x
5.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))
5.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(*.f64 (+.f64 x y) (-.f64 1 z))`
0.0b	1	`(+.f64 x y)`
0.0b	1	`(-.f64 1 z)`

Compiler

Compiled 71 to 44 computations (38% saved)

regimes72.0ms (2.5%)

Counts

6 → 3

Calls

Call 1

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

Outputs
(*.f64 (+.f64 y x) (neg.f64 z))
(+.f64 y x)
(*.f64 (+.f64 y x) (neg.f64 z))

Calls

4 calls:

33.0ms	y
17.0ms	x
13.0ms	z
7.0ms	(-.f64 1 z)

Results

Error	Segments	Branch
7.4b	4	`x`
9.0b	6	`y`
1.9b	3	`z`
1.9b	3	`(-.f64 1 z)`

Compiler

Compiled 48 to 29 computations (39.6% saved)

bsearch48.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	4.146735607093157e-9	4.864881500736741
34.0ms	-500387.65872607386	-0.04705159032192712

Results

45.0ms

288×

body

256

valid

Compiler

Compiled 322 to 228 computations (29.2% saved)

regimes139.0ms (4.8%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

4 calls:

51.0ms	y
44.0ms	x
23.0ms	z
9.0ms	(-.f64 1 z)

Results

Error	Segments	Branch
7.4b	4	`x`
10.1b	4	`y`
9.4b	4	`z`
9.4b	4	`(-.f64 1 z)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch60.0ms (2.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
17.0ms	-3.5794845169025916e-132	-3.819530567254263e-142
32.0ms	-2.0188663451059426e-78	-9.41678708895693e-79
11.0ms	-1.1722024618831573e-42	-8.556836222862431e-45

Results

56.0ms

352×

body

256

valid

Compiler

Compiled 412 to 320 computations (22.3% saved)

regimes93.0ms (3.2%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	x
23.0ms	y
13.0ms	z
8.0ms	(-.f64 1 z)

Results

Error	Segments	Branch
14.9b	4	`x`
17.1b	4	`y`
10.0b	4	`z`
10.0b	4	`(-.f64 1 z)`

Compiler

Compiled 37 to 25 computations (32.4% saved)

bsearch0.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.047051590321927	500388.65872607386
0.0ms	-3.8648815007367414	0.9999999958532644
0.0ms	-4.775236321875164e+81	-6.326987282112466e+71

Compiler

Compiled 16 to 12 computations (25% saved)

regimes84.0ms (2.9%)

Accuracy

Total -51.1b remaining (-443.1%)

Threshold costs -51.1b (-443.1%)

Counts

3 → 3

Calls

Call 1

Inputs
(+.f64 y x)
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 y))

Outputs
(*.f64 x (neg.f64 z))
(+.f64 y x)
(*.f64 x (neg.f64 z))

Calls

3 calls:

51.0ms	y
24.0ms	z
8.0ms	x

Results

Error	Segments	Branch
21.9b	3	`x`
20.9b	5	`y`
11.5b	3	`z`

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch52.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	4.146735607093157e-9	4.864881500736741
37.0ms	-500387.65872607386	-0.04705159032192712

Results

49.0ms

288×

body

256

valid

Compiler

Compiled 286 to 210 computations (26.6% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
9×	`+-commutative_binary64`
7×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	202
1	62	202
2	77	202
3	91	202
4	101	202
5	105	202
6	106	202

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 1 z) y (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 (-.f64 1 z) y) (.f64 (-.f64 1 z) x))
(*.f64 (+.f64 x y) (-.f64 1 z))
(if (<=.f64 z -1) (.f64 (+.f64 y x) (neg.f64 z)) (if (<=.f64 z 1) (+.f64 y x) (.f64 (+.f64 y x) (neg.f64 z))))
(if (<=.f64 x -7218666995694683/6277101735386680763835789423207666416102355444464034512896) (.f64 (-.f64 1 z) x) (if (<=.f64 x -495407149444547/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (.f64 y (-.f64 1 z)) (if (<=.f64 x -2797086701083129/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))))
(if (<=.f64 (-.f64 1 z) -3999999999999999685127519582663130967742012996236735407239992896492256593719590912) (.f64 x (neg.f64 z)) (if (<=.f64 (-.f64 1 z) -2) (.f64 y (-.f64 1 z)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (*.f64 x (neg.f64 z)))))
(if (<=.f64 z -55/2) (.f64 x (neg.f64 z)) (if (<=.f64 z 1) (+.f64 y x) (.f64 x (neg.f64 z))))
(+.f64 y x)

Outputs
(fma.f64 (-.f64 1 z) y (*.f64 (-.f64 1 z) x))
(+.f64 (.f64 (-.f64 1 z) y) (.f64 (-.f64 1 z) x))
(+.f64 (.f64 (-.f64 1 z) x) (.f64 (-.f64 1 z) y))
(*.f64 (+.f64 x y) (-.f64 1 z))
(*.f64 (-.f64 1 z) (+.f64 y x))
(if (<=.f64 z -1) (.f64 (+.f64 y x) (neg.f64 z)) (if (<=.f64 z 1) (+.f64 y x) (.f64 (+.f64 y x) (neg.f64 z))))
(if (<=.f64 z -1) (.f64 z (neg.f64 (+.f64 y x))) (if (<=.f64 z 1) (+.f64 y x) (.f64 z (neg.f64 (+.f64 y x)))))
(if (<=.f64 z -1) (.f64 z (-.f64 (neg.f64 x) y)) (if (<=.f64 z 1) (+.f64 y x) (.f64 z (-.f64 (neg.f64 x) y))))
(if (<=.f64 x -7218666995694683/6277101735386680763835789423207666416102355444464034512896) (.f64 (-.f64 1 z) x) (if (<=.f64 x -495407149444547/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (.f64 y (-.f64 1 z)) (if (<=.f64 x -2797086701083129/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (.f64 (-.f64 1 z) x) (.f64 y (-.f64 1 z)))))
(if (<=.f64 x -7218666995694683/6277101735386680763835789423207666416102355444464034512896) (.f64 (-.f64 1 z) x) (if (<=.f64 x -495407149444547/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (.f64 (-.f64 1 z) y) (if (<=.f64 x -2797086701083129/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056) (.f64 (-.f64 1 z) x) (.f64 (-.f64 1 z) y))))
(if (<=.f64 (-.f64 1 z) -3999999999999999685127519582663130967742012996236735407239992896492256593719590912) (.f64 x (neg.f64 z)) (if (<=.f64 (-.f64 1 z) -2) (.f64 y (-.f64 1 z)) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (*.f64 x (neg.f64 z)))))
(if (<=.f64 (-.f64 1 z) -3999999999999999685127519582663130967742012996236735407239992896492256593719590912) (.f64 x (neg.f64 z)) (if (<=.f64 (-.f64 1 z) -2) (.f64 (-.f64 1 z) y) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (*.f64 x (neg.f64 z)))))
(if (<=.f64 (-.f64 1 z) -3999999999999999685127519582663130967742012996236735407239992896492256593719590912) (.f64 z (neg.f64 x)) (if (<=.f64 (-.f64 1 z) -2) (.f64 (-.f64 1 z) y) (if (<=.f64 (-.f64 1 z) 2) (+.f64 y x) (*.f64 z (neg.f64 x)))))
(if (<=.f64 z -55/2) (.f64 x (neg.f64 z)) (if (<=.f64 z 1) (+.f64 y x) (.f64 x (neg.f64 z))))
(if (<=.f64 z -55/2) (.f64 z (neg.f64 x)) (if (<=.f64 z 1) (+.f64 y x) (.f64 z (neg.f64 x))))
(+.f64 y x)

Compiler

Compiled 163 to 103 computations (36.8% saved)

soundness0.0ms (0%)

end115.0ms (4%)

Remove: (sort x y)
Compiler: Compiled 168 to 93 computations (44.6% saved)

Details

analyze199.0ms (6.9%)

sample1.1s (37.4%)

preprocess176.0ms (6.1%)

simplify54.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite46.0ms (1.6%)

simplify50.0ms (1.7%)

eval17.0ms (0.6%)

prune35.0ms (1.2%)

localize11.0ms (0.4%)

series4.0ms (0.2%)

rewrite51.0ms (1.8%)

simplify48.0ms (1.7%)

localize3.0ms (0.1%)

localize5.0ms (0.2%)

localize7.0ms (0.2%)

localize6.0ms (0.2%)

series5.0ms (0.2%)

rewrite43.0ms (1.5%)

simplify48.0ms (1.7%)

eval60.0ms (2.1%)

prune21.0ms (0.7%)

localize4.0ms (0.2%)

localize4.0ms (0.2%)

localize33.0ms (1.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes57.0ms (2%)

regimes89.0ms (3.1%)

regimes35.0ms (1.2%)

regimes72.0ms (2.5%)

bsearch48.0ms (1.7%)

regimes139.0ms (4.8%)

bsearch60.0ms (2.1%)

regimes93.0ms (3.2%)

bsearch0.0ms (0%)

regimes84.0ms (2.9%)

bsearch52.0ms (1.8%)

simplify10.0ms (0.3%)

soundness0.0ms (0%)

end115.0ms (4%)

Profiling