Details

analyze329.0ms (2.5%)

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
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
36.7%	34.3%	59.3%	0.1%	6.2%	0%	0%	10
44.2%	40.6%	51.3%	0.1%	8%	0%	0%	11
52.6%	48%	43.2%	0.1%	8.7%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample2.3s (17.1%)

Results

1.8s	7766×	body	256	valid
207.0ms	1268×	body	256	infinite
159.0ms	279×	body	512	valid
115.0ms	211×	body	1024	valid

Bogosity

preprocess81.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

928×	`unsub-neg_binary64`
767×	`fma-neg_binary64`
566×	`distribute-rgt-in_binary64`
455×	`distribute-lft-in_binary64`
341×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	64
1	57	56
2	164	56
3	676	48
4	2193	48
5	5489	48
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(+.f64 y (.f64 (.f64 (-.f64 x y) 6) (-.f64 (/.f64 2 3) z)))
(+.f64 z (.f64 (.f64 (-.f64 y z) 6) (-.f64 (/.f64 2 3) x)))
(+.f64 x (.f64 (.f64 (-.f64 z x) 6) (-.f64 (/.f64 2 3) y)))

Outputs
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)
(fma.f64 (-.f64 y x) (+.f64 4 (*.f64 -6 z)) x)
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 y (.f64 (.f64 (-.f64 x y) 6) (-.f64 (/.f64 2 3) z)))
(+.f64 y (.f64 (-.f64 2/3 z) (.f64 6 (-.f64 x y))))
(fma.f64 (-.f64 2/3 z) (*.f64 6 (-.f64 x y)) y)
(fma.f64 6 (*.f64 (-.f64 2/3 z) (-.f64 x y)) y)
(fma.f64 (-.f64 x y) (fma.f64 -6 z 4) y)
(+.f64 z (.f64 (.f64 (-.f64 y z) 6) (-.f64 (/.f64 2 3) x)))
(+.f64 z (.f64 (-.f64 y z) (.f64 6 (-.f64 2/3 x))))
(fma.f64 (*.f64 6 (-.f64 y z)) (-.f64 2/3 x) z)
(fma.f64 (-.f64 y z) (*.f64 6 (-.f64 2/3 x)) z)
(fma.f64 (-.f64 y z) (fma.f64 -6 x 4) z)
(+.f64 x (.f64 (.f64 (-.f64 z x) 6) (-.f64 (/.f64 2 3) y)))
(+.f64 x (.f64 (.f64 6 (-.f64 z x)) (-.f64 2/3 y)))
(fma.f64 (*.f64 6 (-.f64 z x)) (-.f64 2/3 y) x)
(fma.f64 6 (*.f64 (-.f64 z x) (-.f64 2/3 y)) x)
(fma.f64 (-.f64 z x) (fma.f64 -6 y 4) x)

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify295.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

5304×	`fma-neg_binary64`
682×	`unsub-neg_binary64`
376×	`fma-def_binary64`
347×	`sub-neg_binary64`
287×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	23	14
2	60	14
3	202	12
4	634	12
5	1996	12
6	4017	12
7	5835	12
8	6518	12
9	6786	12
10	6850	12
11	6869	12
12	6873	12
13	6873	12
14	6873	12
15	7155	12
16	7206	12
17	7206	12

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))

Outputs
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
(fma.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)) x)
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)

eval1.0ms (0%)

Compiler: Compiled 25 to 16 computations (36% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
▶	0.2b	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 2 3) z)
✓	0.0b	(*.f64 (-.f64 y x) 6)
✓	0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
✓	0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z))

Compiler

Compiled 49 to 31 computations (36.7% saved)

series13.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z))
1.0ms	x	@	0	(.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z))
1.0ms	y	@	0	(.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z))
1.0ms	y	@	inf	(.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z))
1.0ms	x	@	inf	(.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z))

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`log-prod_binary64`
447×	`fma-def_binary64`
380×	`pow2_binary64`
263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	295	38
2	3922	38

Stop Event

1×	node limit

Counts

4 → 156

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(*.f64 (-.f64 y x) 6)
(-.f64 (/.f64 2 3) z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2/3 (.f64 (-.f64 y x) 6)) (.f64 (neg.f64 z) (.f64 (-.f64 y x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (-.f64 y x) 6) 2/3) (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) (.f64 (-.f64 y x) 6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) (.f64 (-.f64 y x) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) (.f64 (-.f64 y x) 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) (.f64 (-.f64 y x) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 6 (-.f64 2/3 z))) (fma.f64 x (+.f64 y x) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 (-.f64 2/3 z))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 8/27 (pow.f64 z 3)) (.f64 (-.f64 y x) 6)) (fma.f64 z (+.f64 2/3 z) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4/9 (.f64 z z)) (.f64 (-.f64 y x) 6)) (+.f64 2/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 y x) 6) (-.f64 8/27 (pow.f64 z 3))) (fma.f64 z (+.f64 2/3 z) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 y x) 6) (-.f64 4/9 (.f64 z z))) (+.f64 2/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) (.f64 (-.f64 y x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (-.f64 y x) 6) 2/3 (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (.f64 (-.f64 y x) 6) (.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))))) (/.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (-.f64 x (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x) 2)) (cbrt.f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)) (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 3)) (/.f64 1 (fma.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) (neg.f64 x)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2)) (/.f64 1 (-.f64 x (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) (neg.f64 x)) (.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))) (-.f64 (.f64 x x) (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 3)) (fma.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) (neg.f64 x)) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 3)) (+.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 (-.f64 y x) 6)) (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2)) (-.f64 x (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 3))) (neg.f64 (fma.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) (neg.f64 x)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2))) (neg.f64 (-.f64 x (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (.f64 x x)) (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) (neg.f64 x)) (.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 3))) -1)))) (#(struct:change 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(expm1.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) (.f64 (-.f64 y x) 6)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (.f64 6 (.f64 (-.f64 y x) 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simplify393.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

5346×	`fma-neg_binary64`
602×	`unsub-neg_binary64`
524×	`fma-def_binary64`
329×	`associate--r+_binary64`
275×	`associate--r-_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	1556
1	103	1496
2	250	1211
3	846	983
4	2149	965
5	4413	965
6	5480	965
7	6202	965
8	6588	965
9	6702	965
10	6772	965
11	6782	965
12	6782	965
13	6782	965
14	6782	965
15	7350	965
16	7350	965
17	7350	965

Stop Event

1×	node limit

Counts

264 → 186

Calls

Call 1

Inputs
(.f64 -6 (.f64 (-.f64 2/3 z) x))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(.f64 -6 (.f64 (-.f64 2/3 z) x))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(.f64 -6 (.f64 (-.f64 2/3 z) x))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(*.f64 4 (-.f64 y x))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x))
(+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x)))
(+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x)))
(+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(*.f64 -6 x)
(+.f64 (.f64 6 y) (.f64 -6 x))
(+.f64 (.f64 6 y) (.f64 -6 x))
(+.f64 (.f64 6 y) (.f64 -6 x))
(*.f64 6 y)
(+.f64 (.f64 6 y) (.f64 -6 x))
(+.f64 (.f64 6 y) (.f64 -6 x))
(+.f64 (.f64 6 y) (.f64 -6 x))
(*.f64 6 y)
(+.f64 (.f64 6 y) (.f64 -6 x))
(+.f64 (.f64 6 y) (.f64 -6 x))
(+.f64 (.f64 6 y) (.f64 -6 x))
(*.f64 6 y)
(+.f64 (.f64 6 y) (.f64 -6 x))
(+.f64 (.f64 6 y) (.f64 -6 x))
(+.f64 (.f64 6 y) (.f64 -6 x))
(*.f64 -6 x)
(+.f64 (.f64 6 y) (.f64 -6 x))
(+.f64 (.f64 6 y) (.f64 -6 x))
(+.f64 (.f64 6 y) (.f64 -6 x))
(*.f64 -6 x)
(+.f64 (.f64 6 y) (.f64 -6 x))
(+.f64 (.f64 6 y) (.f64 -6 x))
(+.f64 (.f64 6 y) (.f64 -6 x))
2/3
(+.f64 (*.f64 -1 z) 2/3)
(+.f64 (*.f64 -1 z) 2/3)
(+.f64 (*.f64 -1 z) 2/3)
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) 2/3)
(+.f64 (*.f64 -1 z) 2/3)
(+.f64 (*.f64 -1 z) 2/3)
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) 2/3)
(+.f64 (*.f64 -1 z) 2/3)
(+.f64 (*.f64 -1 z) 2/3)

Outputs
(.f64 -6 (.f64 (-.f64 2/3 z) x))
(*.f64 x (fma.f64 z 6 -4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(.f64 6 (.f64 (-.f64 2/3 z) y))
(.f64 (-.f64 2/3 z) (.f64 6 y))
(*.f64 y (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(.f64 6 (.f64 (-.f64 2/3 z) y))
(.f64 (-.f64 2/3 z) (.f64 6 y))
(*.f64 y (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(.f64 6 (.f64 (-.f64 2/3 z) y))
(.f64 (-.f64 2/3 z) (.f64 6 y))
(*.f64 y (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(.f64 -6 (.f64 (-.f64 2/3 z) x))
(*.f64 x (fma.f64 z 6 -4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(.f64 -6 (.f64 (-.f64 2/3 z) x))
(*.f64 x (fma.f64 z 6 -4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(*.f64 4 (-.f64 y x))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(.f64 6 (.f64 (-.f64 2/3 z) y))
(.f64 (-.f64 2/3 z) (.f64 6 y))
(*.f64 y (fma.f64 -6 z 4))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(.f64 x (+.f64 1 (.f64 -6 (-.f64 2/3 z))))
(*.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x))
(.f64 x (+.f64 1 (.f64 -6 (-.f64 2/3 z))))
(*.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x)))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x)))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x)))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(.f64 x (+.f64 1 (.f64 -6 (-.f64 2/3 z))))
(*.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(.f64 6 (.f64 y (-.f64 2/3 z)))
(.f64 6 (.f64 (-.f64 2/3 z) y))
(.f64 (-.f64 2/3 z) (.f64 6 y))
(*.f64 y (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(.f64 6 (.f64 y (-.f64 2/3 z)))
(.f64 6 (.f64 (-.f64 2/3 z) y))
(.f64 (-.f64 2/3 z) (.f64 6 y))
(*.f64 y (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (*.f64 4 (-.f64 y x)) x)
(fma.f64 4 (-.f64 y x) x)
(fma.f64 y 4 (*.f64 x -3))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 6 (*.f64 (-.f64 2/3 z) y)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 6 (.f64 (-.f64 2/3 z) y) x))
(+.f64 x (.f64 (-.f64 2/3 z) (fma.f64 -6 x (.f64 6 y))))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(*.f64 -6 x)
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(*.f64 6 y)
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(*.f64 6 y)
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(*.f64 6 y)
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(*.f64 -6 x)
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(*.f64 -6 x)
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
(+.f64 (.f64 6 y) (.f64 -6 x))
(fma.f64 6 y (*.f64 -6 x))
(fma.f64 -6 x (*.f64 6 y))
(*.f64 6 (-.f64 y x))
(*.f64 -6 (-.f64 x y))
2/3
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 z -6 4)
✓	0.1b	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)

Compiler

Compiled 24 to 13 computations (45.8% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
1.0ms	y	@	0	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
1.0ms	z	@	-inf	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
1.0ms	x	@	0	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
1.0ms	x	@	-inf	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`unpow-prod-down_binary64`
423×	`prod-diff_binary64`
403×	`log-prod_binary64`
313×	`exp-prod_binary64`
253×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	194	17
2	2421	17

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs
(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
(fma.f64 z -6 4)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (-.f64 y x) (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 y x) (fma.f64 z -6 4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (-.f64 y x) (fma.f64 z -6 4)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)) (sqrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x) (cbrt.f64 (fma.f64 (-.f64 y 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (.f64 z -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z -6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 z -6 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 z -6) 1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z -6 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z -6 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z -6 4)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z -6 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z -6 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z -6 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 z -6 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 z -6 4)) (pow.f64 (cbrt.f64 (fma.f64 z -6 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z -6 4)) 2) (cbrt.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z -6 4)) (sqrt.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (fma.f64 z -6 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 z -6 4) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 z -6 4) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (fma.f64 z -6 4) (cbrt.f64 (fma.f64 z -6 4))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 z -6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 z -6 4) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 z -6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z -6 4))) 2) 3) (cbrt.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z -6 4))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z -6 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 z 3) -216) 64) (+.f64 (pow.f64 (.f64 z -6) 2) (-.f64 16 (.f64 (.f64 z -6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 z -6) 2) 16) (fma.f64 z -6 -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z -6 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z -6 4) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z -6 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z -6 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z -6 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z -6 4))) 2)) (cbrt.f64 (log.f64 (fma.f64 z -6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z -6 4)))) (sqrt.f64 (log.f64 (fma.f64 z -6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z -6 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z -6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z -6 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 z -6 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 z -6 4))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z -6 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 z -6 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z -6 4)) 1) 1))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (*.f64 z -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z -6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 z -6 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z -6) 1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z -6 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z -6 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z -6 4)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z -6 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z -6 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z -6 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z -6 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z -6 4)) (pow.f64 (cbrt.f64 (fma.f64 z -6 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z -6 4)) 2) (cbrt.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z -6 4)) (sqrt.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 z -6 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 z -6 4) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 z -6 4) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 z -6 4) (cbrt.f64 (fma.f64 z -6 4))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 z -6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 z -6 4) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 z -6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z -6 4))) 2) 3) (cbrt.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z -6 4))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z -6 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 z 3) -216) 64) (+.f64 (pow.f64 (*.f64 z -6) 2) (-.f64 16 (*.f64 (*.f64 z -6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z -6) 2) 16) (fma.f64 z -6 -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z -6 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z -6 4) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z -6 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z -6 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z -6 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z -6 4))) 2)) (cbrt.f64 (log.f64 (fma.f64 z -6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z -6 4)))) (sqrt.f64 (log.f64 (fma.f64 z -6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z -6 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z -6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z -6 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z -6 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 z -6 4))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z -6 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z -6 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z -6 4)) 1) 1))))))

simplify199.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

3047×	`fma-def_binary64`
982×	`fma-neg_binary64`
375×	`sub-neg_binary64`
349×	`distribute-rgt-in_binary64`
282×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	820
1	84	622
2	215	454
3	676	454
4	1568	454
5	2899	454
6	4808	454
7	5790	454
8	6001	454
9	6028	454
10	6028	454
11	6028	454
12	6048	454
13	6056	454
14	6056	454

Stop Event

1×	node limit

Counts

130 → 100

Calls

Call 1

Inputs
(+.f64 (.f64 -1 (.f64 (+.f64 4 (*.f64 -6 z)) x)) x)
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(.f64 (+.f64 4 (.f64 -6 z)) y)
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(.f64 (+.f64 4 (.f64 -6 z)) y)
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(.f64 (+.f64 4 (.f64 -6 z)) y)
(+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(.f64 (+.f64 1 (.f64 -1 (+.f64 4 (*.f64 -6 z)))) x)
(+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
4
(+.f64 4 (*.f64 -6 z))
(+.f64 4 (*.f64 -6 z))
(+.f64 4 (*.f64 -6 z))
(*.f64 -6 z)
(+.f64 4 (*.f64 -6 z))
(+.f64 4 (*.f64 -6 z))
(+.f64 4 (*.f64 -6 z))
(*.f64 -6 z)
(+.f64 4 (*.f64 -6 z))
(+.f64 4 (*.f64 -6 z))
(+.f64 4 (*.f64 -6 z))

Outputs
(+.f64 (.f64 -1 (.f64 (+.f64 4 (*.f64 -6 z)) x)) x)
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) x)
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(.f64 (+.f64 4 (.f64 -6 z)) y)
(*.f64 (fma.f64 -6 z 4) y)
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(.f64 (+.f64 4 (.f64 -6 z)) y)
(*.f64 (fma.f64 -6 z 4) y)
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(.f64 (+.f64 4 (.f64 -6 z)) y)
(*.f64 (fma.f64 -6 z 4) y)
(+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(.f64 (+.f64 1 (.f64 -1 (+.f64 4 (*.f64 -6 z)))) x)
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) x)
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) x)
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (*.f64 4 (-.f64 y x)) x)
(fma.f64 4 (-.f64 y x) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(-.f64 (.f64 (fma.f64 -6 z 4) y) (.f64 x (fma.f64 -6 z 3)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(fma.f64 (fma.f64 -6 z 4) (-.f64 y x) x)
4
(+.f64 4 (*.f64 -6 z))
(fma.f64 -6 z 4)
(+.f64 4 (*.f64 -6 z))
(fma.f64 -6 z 4)
(+.f64 4 (*.f64 -6 z))
(fma.f64 -6 z 4)
(*.f64 -6 z)
(+.f64 4 (*.f64 -6 z))
(fma.f64 -6 z 4)
(+.f64 4 (*.f64 -6 z))
(fma.f64 -6 z 4)
(+.f64 4 (*.f64 -6 z))
(fma.f64 -6 z 4)
(*.f64 -6 z)
(+.f64 4 (*.f64 -6 z))
(fma.f64 -6 z 4)
(+.f64 4 (*.f64 -6 z))
(fma.f64 -6 z 4)
(+.f64 4 (*.f64 -6 z))
(fma.f64 -6 z 4)

eval91.0ms (0.7%)

Compiler: Compiled 4659 to 2834 computations (39.2% saved)

prune66.0ms (0.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	264	22	286
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	266	22	288

Error

Counts

288 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
▶	21.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) 2/3))
▶	42.5b	(.f64 -6 (.f64 z (-.f64 y x)))
▶	35.3b	(/.f64 (-.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (.f64 x x)) (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) (neg.f64 x)))
▶	0.2b	(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
	11.6b	(fma.f64 (-.f64 y x) (expm1.f64 (log1p.f64 (fma.f64 z -6 4))) x)
	27.6b	(fma.f64 (cbrt.f64 (.f64 36 (pow.f64 (-.f64 y x) 2))) (.f64 (cbrt.f64 (*.f64 (-.f64 y x) 6)) (-.f64 2/3 z)) x)
	0.4b	(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (-.f64 (/.f64 2 3) z)))
	32.6b	(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
	0.4b	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
	8.6b	(fma.f64 (.f64 (.f64 (-.f64 y x) 6) (cbrt.f64 (pow.f64 (-.f64 2/3 z) 2))) (cbrt.f64 (-.f64 2/3 z)) x)
	35.3b	(/.f64 1 (/.f64 (-.f64 x (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))) (-.f64 (.f64 x x) (pow.f64 (.f64 6 (*.f64 (-.f64 y x) (-.f64 2/3 z))) 2))))
	20.8b	(+.f64 (*.f64 4 (-.f64 y x)) x)
	32.1b	(.f64 (+.f64 4 (.f64 -6 z)) y)
	32.3b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
	34.3b	(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)) 2)
	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
	30.9b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 (-.f64 2/3 z))) (+.f64 y x)))
	32.1b	(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
	32.8b	(fma.f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (.f64 6 (-.f64 2/3 z))) x)
	27.3b	(+.f64 x (.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) 6) (+.f64 y x)) (-.f64 (/.f64 2 3) z)))
	42.9b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))

Compiler

Compiled 750 to 530 computations (29.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) x)
✓	0.0b	(*.f64 z (-.f64 y x))
✓	0.0b	(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
✓	0.3b	(.f64 -6 (.f64 z (-.f64 y x)))

Compiler

Compiled 52 to 20 computations (61.5% saved)

series15.0ms (0.1%)

Counts

4 → 114

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 -6 (.f64 z (-.f64 y x)))
1.0ms	z	@	inf	(.f64 -6 (.f64 z (-.f64 y x)))
1.0ms	y	@	0	(.f64 -6 (.f64 z (-.f64 y x)))
1.0ms	x	@	0	(.f64 -6 (.f64 z (-.f64 y x)))
1.0ms	y	@	0	(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))

rewrite97.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`fma-def_binary64`
680×	`log-prod_binary64`
378×	`fma-neg_binary64`
253×	`expm1-udef_binary64`
253×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	277	44
2	3997	42

Stop Event

1×	node limit

Counts

4 → 200

Calls

Call 1

Inputs
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(*.f64 z (-.f64 y x))
(+.f64 (.f64 -6 (.f64 z (-.f64 y x))) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 y x) (.f64 -6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 -6 z)) (.f64 (neg.f64 x) (.f64 -6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 -6 z) y) (.f64 (.f64 -6 z) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) (-.f64 y x)) -6)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) (-.f64 y x)) -6)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) (-.f64 y x)) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) (-.f64 y x)) -6))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) (-.f64 y x)) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 y x) (.f64 -6 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 -6 z) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 x (+.f64 y x) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 y x) (.f64 -6 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 y x) (.f64 -6 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (-.f64 y x) (.f64 -6 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 y x) (.f64 -6 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (-.f64 y x) (.f64 -6 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 z) (-.f64 y x)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 y x) (.f64 -6 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (-.f64 y x) (.f64 -6 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (-.f64 y x) (.f64 -6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (-.f64 y x) (.f64 -6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (-.f64 y x) (.f64 -6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (-.f64 y x) (.f64 -6 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 -6 z) (.f64 (neg.f64 x) (.f64 -6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -6 z) y (.f64 (*.f64 -6 z) (neg.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 16 (pow.f64 (-.f64 y x) 2)) (-.f64 (.f64 (-.f64 y x) 4) (fma.f64 (-.f64 y x) (.f64 -6 z) x))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) (.f64 -6 z) x) 2) (-.f64 (.f64 (-.f64 y x) 4) (fma.f64 (-.f64 y x) (.f64 -6 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z)) x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z)) x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 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y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -6 (-.f64 y x)) z x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -6 (pow.f64 (cbrt.f64 (.f64 z (-.f64 y x))) 2)) (cbrt.f64 (.f64 z (-.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -6 (sqrt.f64 (.f64 z (-.f64 y x)))) (sqrt.f64 (.f64 z (-.f64 y x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 -6 z) 1) (-.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 -6 z) (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (cbrt.f64 (-.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (*.f64 -6 z) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)) x)))))

simplify215.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2942×	`fma-neg_binary64`
909×	`fma-def_binary64`
432×	`unsub-neg_binary64`
378×	`sub-neg_binary64`
361×	`distribute-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	1376
1	167	1313
2	426	1126
3	1149	1018
4	2842	1018
5	4776	1018
6	5961	1018
7	6107	1018
8	6109	1018
9	6109	1018
10	6181	1018
11	6214	1018
12	6214	1018

Stop Event

1×	node limit

Counts

314 → 238

Calls

Call 1

Inputs
(.f64 6 (.f64 z x))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(.f64 -6 (.f64 y z))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(.f64 -6 (.f64 y z))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(.f64 -6 (.f64 y z))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(.f64 6 (.f64 z x))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(.f64 6 (.f64 z x))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x)))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x)))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x)))
(.f64 (+.f64 4 (.f64 -6 z)) y)
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x)))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x)))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x)))
(.f64 -1 (.f64 y (-.f64 (*.f64 6 z) 4)))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 6 z) 4))) x)))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 6 z) 4))) x)))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 6 z) 4))) x)))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 (.f64 4 y) (+.f64 (.f64 (-.f64 (.f64 6 z) 3) x) (.f64 -6 (*.f64 y z))))
(+.f64 (.f64 4 y) (+.f64 (.f64 (-.f64 (.f64 6 z) 3) x) (.f64 -6 (*.f64 y z))))
(+.f64 (.f64 4 y) (+.f64 (.f64 (-.f64 (.f64 6 z) 3) x) (.f64 -6 (*.f64 y z))))
(.f64 (-.f64 (.f64 6 z) 3) x)
(+.f64 (.f64 4 y) (+.f64 (.f64 (-.f64 (.f64 6 z) 3) x) (.f64 -6 (*.f64 y z))))
(+.f64 (.f64 4 y) (+.f64 (.f64 (-.f64 (.f64 6 z) 3) x) (.f64 -6 (*.f64 y z))))
(+.f64 (.f64 4 y) (+.f64 (.f64 (-.f64 (.f64 6 z) 3) x) (.f64 -6 (*.f64 y z))))
(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
(+.f64 (.f64 4 y) (+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 -6 (.f64 y z))))
(+.f64 (.f64 4 y) (+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 -6 (.f64 y z))))
(+.f64 (.f64 4 y) (+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 -6 (.f64 y z))))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 -6 (.f64 z (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 y x)))
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 y x) z)
(.f64 -1 (.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
x
(.f64 -6 (.f64 z (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 6 (.f64 z x)) x)
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(.f64 -6 (.f64 y z))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(.f64 -6 (.f64 y z))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(.f64 -6 (.f64 y z))
(+.f64 (.f64 (+.f64 1 (.f64 6 z)) x) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 (+.f64 1 (.f64 6 z)) x) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 (+.f64 1 (.f64 6 z)) x) (.f64 -6 (.f64 y z)))
(.f64 (+.f64 1 (.f64 6 z)) x)
(+.f64 (.f64 (+.f64 1 (.f64 6 z)) x) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 (+.f64 1 (.f64 6 z)) x) (.f64 -6 (.f64 y z)))
(+.f64 (.f64 (+.f64 1 (.f64 6 z)) x) (.f64 -6 (.f64 y z)))
(.f64 -1 (.f64 (-.f64 (*.f64 -6 z) 1) x))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -6 z) 1) x)) (.f64 -6 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -6 z) 1) x)) (.f64 -6 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -6 z) 1) x)) (.f64 -6 (*.f64 y z)))

Outputs
(.f64 6 (.f64 z x))
(.f64 x (.f64 6 z))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 z y))
(.f64 z (.f64 -6 y))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 z y))
(.f64 z (.f64 -6 y))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 z y))
(.f64 z (.f64 -6 y))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(.f64 6 (.f64 z x))
(.f64 x (.f64 6 z))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(.f64 6 (.f64 z x))
(.f64 x (.f64 6 z))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(+.f64 (.f64 6 (.f64 z x)) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
(fma.f64 -4 x (fma.f64 6 (*.f64 z x) x))
(+.f64 x (*.f64 x (fma.f64 6 z -4)))
(*.f64 x (fma.f64 6 z -3))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x)))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x)))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x)))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(.f64 (+.f64 4 (.f64 -6 z)) y)
(.f64 y (+.f64 4 (.f64 z -6)))
(*.f64 y (fma.f64 z -6 4))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x)))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x)))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y) x)))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(.f64 -1 (.f64 y (-.f64 (*.f64 6 z) 4)))
(.f64 y (+.f64 4 (.f64 z -6)))
(*.f64 y (fma.f64 z -6 4))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 6 z) 4))) x)))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 6 z) 4))) x)))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -4 x) (+.f64 (.f64 -1 (.f64 y (-.f64 (.f64 6 z) 4))) x)))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(.f64 y (+.f64 4 (.f64 z -6)))
(*.f64 y (fma.f64 z -6 4))
(+.f64 (.f64 4 y) (+.f64 (.f64 (-.f64 (.f64 6 z) 3) x) (.f64 -6 (*.f64 y z))))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(+.f64 (.f64 4 y) (+.f64 (.f64 (-.f64 (.f64 6 z) 3) x) (.f64 -6 (*.f64 y z))))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(+.f64 (.f64 4 y) (+.f64 (.f64 (-.f64 (.f64 6 z) 3) x) (.f64 -6 (*.f64 y z))))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(.f64 (-.f64 (.f64 6 z) 3) x)
(fma.f64 -4 x (fma.f64 6 (*.f64 z x) x))
(+.f64 x (*.f64 x (fma.f64 6 z -4)))
(*.f64 x (fma.f64 6 z -3))
(+.f64 (.f64 4 y) (+.f64 (.f64 (-.f64 (.f64 6 z) 3) x) (.f64 -6 (*.f64 y z))))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(+.f64 (.f64 4 y) (+.f64 (.f64 (-.f64 (.f64 6 z) 3) x) (.f64 -6 (*.f64 y z))))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(+.f64 (.f64 4 y) (+.f64 (.f64 (-.f64 (.f64 6 z) 3) x) (.f64 -6 (*.f64 y z))))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
(fma.f64 -4 x (fma.f64 6 (*.f64 z x) x))
(+.f64 x (*.f64 x (fma.f64 6 z -4)))
(*.f64 x (fma.f64 6 z -3))
(+.f64 (.f64 4 y) (+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 -6 (.f64 y z))))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(+.f64 (.f64 4 y) (+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 -6 (.f64 y z))))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(+.f64 (.f64 4 y) (+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 -6 (.f64 y z))))
(fma.f64 6 (.f64 z x) (fma.f64 -4 x (fma.f64 (+.f64 4 (.f64 z -6)) y x)))
(+.f64 (fma.f64 y (fma.f64 z -6 4) x) (*.f64 x (fma.f64 6 z -4)))
(fma.f64 y (fma.f64 z -6 4) (*.f64 x (fma.f64 6 z -3)))
(fma.f64 (fma.f64 6 z -4) (-.f64 x y) x)
(+.f64 (*.f64 4 (-.f64 y x)) x)
(fma.f64 4 (-.f64 y x) x)
(fma.f64 x -3 (*.f64 y 4))
(.f64 -6 (.f64 z (-.f64 y x)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 y x)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 x (neg.f64 z))
(*.f64 z (neg.f64 x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 z x)))
(*.f64 z (-.f64 y x))
x
(.f64 -6 (.f64 z (-.f64 y x)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(.f64 -6 (.f64 z (-.f64 y x)))
(fma.f64 6 (.f64 z x) (.f64 -6 (*.f64 z y)))
(fma.f64 6 (.f64 z x) (.f64 z (*.f64 -6 y)))
(.f64 z (.f64 -6 (-.f64 y x)))
(+.f64 (.f64 6 (.f64 z x)) x)
(fma.f64 6 (*.f64 z x) x)
(*.f64 x (fma.f64 6 z 1))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 z y))
(.f64 z (.f64 -6 y))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 z y))
(.f64 z (.f64 -6 y))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (.f64 -6 (.f64 y z)) x))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 z y))
(.f64 z (.f64 -6 y))
(+.f64 (.f64 (+.f64 1 (.f64 6 z)) x) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(+.f64 (.f64 (+.f64 1 (.f64 6 z)) x) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(+.f64 (.f64 (+.f64 1 (.f64 6 z)) x) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(.f64 (+.f64 1 (.f64 6 z)) x)
(fma.f64 6 (*.f64 z x) x)
(*.f64 x (fma.f64 6 z 1))
(+.f64 (.f64 (+.f64 1 (.f64 6 z)) x) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(+.f64 (.f64 (+.f64 1 (.f64 6 z)) x) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(+.f64 (.f64 (+.f64 1 (.f64 6 z)) x) (.f64 -6 (.f64 y z)))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -6 z) 1) x))
(fma.f64 6 (*.f64 z x) x)
(*.f64 x (fma.f64 6 z 1))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -6 z) 1) x)) (.f64 -6 (*.f64 y z)))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -6 z) 1) x)) (.f64 -6 (*.f64 y z)))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -6 z) 1) x)) (.f64 -6 (*.f64 y z)))
(fma.f64 6 (.f64 z x) (fma.f64 -6 (.f64 z y) x))
(+.f64 x (.f64 z (.f64 -6 (-.f64 y x))))
(fma.f64 z (*.f64 -6 (-.f64 y x)) x)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 z (-.f64 y x))
	0.3b	(.f64 -6 (.f64 z (-.f64 y x)))

Compiler

Compiled 22 to 8 computations (63.6% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 y x) 6)
✓	0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) 2/3))
✓	0.3b	(.f64 (.f64 (-.f64 y x) 6) 2/3)

Compiler

Compiled 31 to 17 computations (45.2% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 (.f64 (-.f64 y x) 6) 2/3)
0.0ms	x	@	-inf	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) 2/3))
0.0ms	y	@	inf	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) 2/3))
0.0ms	y	@	0	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) 2/3))
0.0ms	x	@	0	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) 2/3))

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

477×	`log-prod_binary64`
397×	`fma-def_binary64`
358×	`exp-prod_binary64`
310×	`pow-prod-down_binary64`
268×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	204	15
2	2820	15

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 y x) 6) 2/3)
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) 2/3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (-.f64 y x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (-.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 y x) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) 4) (fma.f64 y y (*.f64 x (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) 4) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 y x) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 16) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (-.f64 y x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 y x) 3) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (-.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 y x) 4))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 y x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 y x) 4)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 y x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y x) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 y x) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (-.f64 y x)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (-.f64 y x) 3) 64)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 y x) 4)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 y x) 4)) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) 4 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 y x) 4))) (/.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 16) (-.f64 x (*.f64 (-.f64 y x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) 4 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) 4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 4 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 4 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 4 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 4 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 64 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) 4) (-.f64 (*.f64 (-.f64 y x) 4) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 16)) (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) 4) (-.f64 (*.f64 (-.f64 y x) 4) x))) (fma.f64 (pow.f64 (-.f64 y x) 3) 64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 4)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 64 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) 4) (-.f64 (*.f64 (-.f64 y x) 4) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 64 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 16 (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 y x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 16)) (-.f64 x (*.f64 (-.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 64 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) 4) (-.f64 (*.f64 (-.f64 y x) 4) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 16))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 16) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y x) 4 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 4 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 4 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 4 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 4 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (-.f64 y x) 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x (*.f64 (*.f64 (-.f64 y x) 4) (-.f64 (*.f64 (-.f64 y x) 4) x))) (fma.f64 (pow.f64 (-.f64 y x) 3) 64 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 4)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 16))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 y x) 4 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 y x) 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 y x) 4 x)))) (sqrt.f64 (log.f64 (fma.f64 (-.f64 y x) 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 4 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) 4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 4) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 4))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 4) (-.f64 y x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 4))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 4 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 4 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 y x) 4 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 4 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 4 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 4 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (-.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y x) 4 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 (*.f64 (-.f64 y x) 2/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 y x) 6) 2/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (*.f64 (-.f64 y x) 6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 y x) 4) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (-.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 y x) 4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) 4)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 16)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 16)) (cbrt.f64 (*.f64 (-.f64 y x) 4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 36 (pow.f64 (-.f64 y x) 2))) (*.f64 (cbrt.f64 (*.f64 (-.f64 y x) 6)) 2/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 y x) 2)) (*.f64 (cbrt.f64 (-.f64 y x)) 4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (-.f64 y x)) 2) (*.f64 (sqrt.f64 (-.f64 y x)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) 6)) (*.f64 (sqrt.f64 (*.f64 (-.f64 y x) 6)) 2/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (-.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (-.f64 y x)) 6 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (cbrt.f64 (*.f64 36 (pow.f64 (-.f64 y x) 2)))) (cbrt.f64 (*.f64 (-.f64 y x) 6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (sqrt.f64 (*.f64 (-.f64 y x) 6))) (sqrt.f64 (*.f64 (-.f64 y x) 6)) x)))))

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`fma-def_binary64`
4×	`+-commutative_binary64`
3×	`*-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	336
1	26	336
2	40	336
3	47	336

Stop Event

1×

saturated

Counts

142 → 104

Calls

Call 1

Inputs
(*.f64 -4 x)
(+.f64 (.f64 4 y) (.f64 -4 x))
(+.f64 (.f64 4 y) (.f64 -4 x))
(+.f64 (.f64 4 y) (.f64 -4 x))
(*.f64 4 y)
(+.f64 (.f64 4 y) (.f64 -4 x))
(+.f64 (.f64 4 y) (.f64 -4 x))
(+.f64 (.f64 4 y) (.f64 -4 x))
(*.f64 4 y)
(+.f64 (.f64 4 y) (.f64 -4 x))
(+.f64 (.f64 4 y) (.f64 -4 x))
(+.f64 (.f64 4 y) (.f64 -4 x))
(*.f64 4 y)
(+.f64 (.f64 4 y) (.f64 -4 x))
(+.f64 (.f64 4 y) (.f64 -4 x))
(+.f64 (.f64 4 y) (.f64 -4 x))
(*.f64 -4 x)
(+.f64 (.f64 4 y) (.f64 -4 x))
(+.f64 (.f64 4 y) (.f64 -4 x))
(+.f64 (.f64 4 y) (.f64 -4 x))
(*.f64 -4 x)
(+.f64 (.f64 4 y) (.f64 -4 x))
(+.f64 (.f64 4 y) (.f64 -4 x))
(+.f64 (.f64 4 y) (.f64 -4 x))
(*.f64 4 y)
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(*.f64 -3 x)
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(*.f64 -3 x)
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (*.f64 -4 x) x)
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(*.f64 4 y)
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(*.f64 4 y)
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))

Outputs
(*.f64 -4 x)
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(*.f64 4 y)
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(*.f64 4 y)
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(*.f64 4 y)
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(*.f64 -4 x)
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(*.f64 -4 x)
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(+.f64 (.f64 4 y) (.f64 -4 x))
(fma.f64 4 y (*.f64 -4 x))
(fma.f64 -4 x (*.f64 4 y))
(*.f64 4 y)
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(*.f64 -3 x)
(*.f64 x -3)
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(*.f64 -3 x)
(*.f64 x -3)
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(+.f64 (*.f64 -4 x) x)
(*.f64 x -3)
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(*.f64 4 y)
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(*.f64 4 y)
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))
(+.f64 (.f64 4 y) (+.f64 (.f64 -4 x) x))
(fma.f64 4 y (*.f64 x -3))
(fma.f64 x -3 (*.f64 4 y))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -6 (-.f64 2/3 z))
✓	0.1b	(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
✓	0.2b	(.f64 6 (.f64 y (-.f64 2/3 z)))
✓	0.2b	(*.f64 y (-.f64 2/3 z))

Compiler

Compiled 63 to 47 computations (25.4% saved)

series12.0ms (0.1%)

Counts

4 → 48

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(*.f64 y (-.f64 2/3 z))
1.0ms	x	@	0	(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
1.0ms	y	@	0	(*.f64 y (-.f64 2/3 z))
1.0ms	x	@	inf	(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
1.0ms	z	@	inf	(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)

rewrite117.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`log-prod_binary64`
365×	`pow2_binary64`
307×	`fma-def_binary64`
295×	`prod-diff_binary64`
255×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	295	35
2	3631	35

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

Inputs
(*.f64 y (-.f64 2/3 z))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(*.f64 -6 (-.f64 2/3 z))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (-.f64 2/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2/3 y) (.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y 2/3) (.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (-.f64 2/3 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 8/27 (pow.f64 z 3)) y) (fma.f64 z (+.f64 2/3 z) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4/9 (.f64 z z)) y) (+.f64 2/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (-.f64 8/27 (pow.f64 z 3))) (fma.f64 z (+.f64 2/3 z) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (-.f64 4/9 (.f64 z z))) (+.f64 2/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (-.f64 2/3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (-.f64 2/3 z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (-.f64 2/3 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (-.f64 2/3 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (-.f64 2/3 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 y 3) (pow.f64 (-.f64 2/3 z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (-.f64 2/3 z) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (-.f64 2/3 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (-.f64 2/3 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (-.f64 2/3 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 2/3 z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (-.f64 2/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (-.f64 2/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (-.f64 2/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (-.f64 2/3 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 2/3 (.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 y (*.f64 (neg.f64 z) y))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (.f64 (-.f64 2/3 z) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2/3 (.f64 y 6)) (.f64 (neg.f64 z) (.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y 6) 2/3) (.f64 (.f64 y 6) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) (.f64 y 6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) (.f64 y 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) (.f64 y 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) (.f64 y 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 (-.f64 2/3 z) 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y 6) (-.f64 8/27 (pow.f64 z 3))) (fma.f64 z (+.f64 2/3 z) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y 6) (-.f64 4/9 (.f64 z z))) (+.f64 2/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (.f64 (-.f64 2/3 z) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 y (-.f64 2/3 z)) 2) 36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (.f64 (-.f64 2/3 z) 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (.f64 (-.f64 2/3 z) 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (.f64 (-.f64 2/3 z) 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 y (-.f64 2/3 z)) 2) 36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) (.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 (-.f64 2/3 z) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y (.f64 (-.f64 2/3 z) 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (.f64 (-.f64 2/3 z) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (.f64 (-.f64 2/3 z) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (.f64 (-.f64 2/3 z) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (.f64 (-.f64 2/3 z) 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (.f64 y 6) (.f64 (neg.f64 z) (.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y 6) 2/3 (.f64 (*.f64 y 6) (neg.f64 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (.f64 (-.f64 2/3 z) -6) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 x (.f64 (-.f64 2/3 z) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 (-.f64 2/3 z) -6 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (-.f64 2/3 z) -6) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 (-.f64 2/3 z) -6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 2/3 z) -6 1)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 2/3 z) -6 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 2/3 z) -6 1)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 2/3 z) -6 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (-.f64 2/3 z) -6 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 3) -216 1) x) (fma.f64 (.f64 (-.f64 2/3 z) -6) (fma.f64 (-.f64 2/3 z) -6 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (-.f64 2/3 z) 2) 36)) x) (+.f64 1 (.f64 6 (-.f64 2/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 (pow.f64 (-.f64 2/3 z) 3) -216 1)) (fma.f64 (.f64 (-.f64 2/3 z) -6) (fma.f64 (-.f64 2/3 z) -6 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1 (.f64 (pow.f64 (-.f64 2/3 z) 2) 36))) (+.f64 1 (.f64 6 (-.f64 2/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 (-.f64 2/3 z) -6 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 (-.f64 2/3 z) -6 1) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 (-.f64 2/3 z) -6 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 (-.f64 2/3 z) -6 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 (-.f64 2/3 z) -6 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (fma.f64 (-.f64 2/3 z) -6 1) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (-.f64 2/3 z) -6 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 (-.f64 2/3 z) -6 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (-.f64 2/3 z) -6 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 (-.f64 2/3 z) -6 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 (-.f64 2/3 z) -6 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (-.f64 2/3 z) -6 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (-.f64 2/3 z) -6 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 (-.f64 2/3 z) -6 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 (-.f64 2/3 z) -6 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 (-.f64 2/3 z) -6 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 (-.f64 2/3 z) -6 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 (.f64 (-.f64 2/3 z) -6) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 x (.f64 (-.f64 2/3 z) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (-.f64 2/3 z) -6) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (.f64 (.f64 (-.f64 2/3 z) -6) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (.f64 x (.f64 (-.f64 2/3 z) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 (-.f64 2/3 z) -6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 (.f64 (-.f64 2/3 z) -6) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 (-.f64 2/3 z) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 (.f64 (-.f64 2/3 z) -6) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 x (.f64 (-.f64 2/3 z) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (-.f64 2/3 z) -6) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 x (*.f64 (-.f64 2/3 z) -6)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 2/3 z) -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4 (.f64 (neg.f64 z) -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -4 (.f64 -6 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) -6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) -6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (-.f64 2/3 z) -6 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 8/27 (pow.f64 z 3)) -6) (fma.f64 z (+.f64 2/3 z) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 4/9 (.f64 z z)) -6) (+.f64 2/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -6 (-.f64 8/27 (pow.f64 z 3))) (fma.f64 z (+.f64 2/3 z) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -6 (-.f64 4/9 (.f64 z z))) (+.f64 2/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 2/3 z) -6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (-.f64 2/3 z) 2) 36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 2/3 z) -6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (-.f64 2/3 z) -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (-.f64 2/3 z) 3) -216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (-.f64 2/3 z) 2) 36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 2/3 z)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 2/3 z) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 2/3 z) 3) -216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (-.f64 2/3 z) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (log1p.f64 (.f64 (-.f64 2/3 z) -6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (-.f64 2/3 z) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (-.f64 2/3 z) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (-.f64 2/3 z) -6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (-.f64 2/3 z) -6 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (-.f64 2/3 z) -6 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (-.f64 2/3 z) -6 1)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 2/3 z) -6 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 2/3 z) -6 1)) 2) (cbrt.f64 (fma.f64 (-.f64 2/3 z) -6 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (-.f64 2/3 z) -6 1)) (sqrt.f64 (fma.f64 (-.f64 2/3 z) -6 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 3) -216 1) (/.f64 1 (fma.f64 (.f64 (-.f64 2/3 z) -6) (fma.f64 (-.f64 2/3 z) -6 -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (.f64 (pow.f64 (-.f64 2/3 z) 2) 36)) (/.f64 1 (+.f64 1 (*.f64 6 (-.f64 2/3 z)))) -1)))))

simplify176.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1059×	`fma-def_binary64`
286×	`fma-neg_binary64`
122×	`associate-l_binary64`
122×	`distribute-rgt-in_binary64`
111×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	403
1	48	385
2	93	331
3	139	313
4	171	313
5	220	313
6	313	313
7	412	313
8	654	313
9	1252	313
10	1578	313
11	1856	313
12	2170	313
13	2554	313
14	2673	313
15	2796	313
16	2909	313
17	2939	313
18	2941	313

Stop Event

1×

saturated

Counts

172 → 145

Calls

Call 1

Inputs
(*.f64 2/3 y)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(*.f64 4 y)
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(.f64 -6 (.f64 y z))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(.f64 -6 (.f64 y z))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(*.f64 -3 x)
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(.f64 6 (.f64 z x))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(.f64 6 (.f64 z x))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
-4
(-.f64 (*.f64 6 z) 4)
(-.f64 (*.f64 6 z) 4)
(-.f64 (*.f64 6 z) 4)
(*.f64 6 z)
(-.f64 (*.f64 6 z) 4)
(-.f64 (*.f64 6 z) 4)
(-.f64 (*.f64 6 z) 4)
(*.f64 6 z)
(-.f64 (*.f64 6 z) 4)
(-.f64 (*.f64 6 z) 4)
(-.f64 (*.f64 6 z) 4)

Outputs
(*.f64 2/3 y)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(fma.f64 -1 (.f64 y z) (.f64 2/3 y))
(-.f64 (.f64 2/3 y) (.f64 y z))
(*.f64 y (-.f64 2/3 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(fma.f64 -1 (.f64 y z) (.f64 2/3 y))
(-.f64 (.f64 2/3 y) (.f64 y z))
(*.f64 y (-.f64 2/3 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(fma.f64 -1 (.f64 y z) (.f64 2/3 y))
(-.f64 (.f64 2/3 y) (.f64 y z))
(*.f64 y (-.f64 2/3 z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(fma.f64 -1 (.f64 y z) (.f64 2/3 y))
(-.f64 (.f64 2/3 y) (.f64 y z))
(*.f64 y (-.f64 2/3 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(fma.f64 -1 (.f64 y z) (.f64 2/3 y))
(-.f64 (.f64 2/3 y) (.f64 y z))
(*.f64 y (-.f64 2/3 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(fma.f64 -1 (.f64 y z) (.f64 2/3 y))
(-.f64 (.f64 2/3 y) (.f64 y z))
(*.f64 y (-.f64 2/3 z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(fma.f64 -1 (.f64 y z) (.f64 2/3 y))
(-.f64 (.f64 2/3 y) (.f64 y z))
(*.f64 y (-.f64 2/3 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(fma.f64 -1 (.f64 y z) (.f64 2/3 y))
(-.f64 (.f64 2/3 y) (.f64 y z))
(*.f64 y (-.f64 2/3 z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 2/3 y))
(fma.f64 -1 (.f64 y z) (.f64 2/3 y))
(-.f64 (.f64 2/3 y) (.f64 y z))
(*.f64 y (-.f64 2/3 z))
(*.f64 4 y)
(*.f64 y 4)
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(fma.f64 4 y (.f64 (.f64 -6 y) z))
(fma.f64 y 4 (.f64 z (.f64 y -6)))
(.f64 y (+.f64 4 (.f64 z -6)))
(*.f64 y (fma.f64 z -6 4))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(fma.f64 4 y (.f64 (.f64 -6 y) z))
(fma.f64 y 4 (.f64 z (.f64 y -6)))
(.f64 y (+.f64 4 (.f64 z -6)))
(*.f64 y (fma.f64 z -6 4))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(fma.f64 4 y (.f64 (.f64 -6 y) z))
(fma.f64 y 4 (.f64 z (.f64 y -6)))
(.f64 y (+.f64 4 (.f64 z -6)))
(*.f64 y (fma.f64 z -6 4))
(.f64 -6 (.f64 y z))
(.f64 (.f64 -6 y) z)
(.f64 z (.f64 y -6))
(.f64 y (.f64 z -6))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(fma.f64 4 y (.f64 (.f64 -6 y) z))
(fma.f64 y 4 (.f64 z (.f64 y -6)))
(.f64 y (+.f64 4 (.f64 z -6)))
(*.f64 y (fma.f64 z -6 4))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(fma.f64 4 y (.f64 (.f64 -6 y) z))
(fma.f64 y 4 (.f64 z (.f64 y -6)))
(.f64 y (+.f64 4 (.f64 z -6)))
(*.f64 y (fma.f64 z -6 4))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(fma.f64 4 y (.f64 (.f64 -6 y) z))
(fma.f64 y 4 (.f64 z (.f64 y -6)))
(.f64 y (+.f64 4 (.f64 z -6)))
(*.f64 y (fma.f64 z -6 4))
(.f64 -6 (.f64 y z))
(.f64 (.f64 -6 y) z)
(.f64 z (.f64 y -6))
(.f64 y (.f64 z -6))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(fma.f64 4 y (.f64 (.f64 -6 y) z))
(fma.f64 y 4 (.f64 z (.f64 y -6)))
(.f64 y (+.f64 4 (.f64 z -6)))
(*.f64 y (fma.f64 z -6 4))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(fma.f64 4 y (.f64 (.f64 -6 y) z))
(fma.f64 y 4 (.f64 z (.f64 y -6)))
(.f64 y (+.f64 4 (.f64 z -6)))
(*.f64 y (fma.f64 z -6 4))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(fma.f64 4 y (.f64 (.f64 -6 y) z))
(fma.f64 y 4 (.f64 z (.f64 y -6)))
(.f64 y (+.f64 4 (.f64 z -6)))
(*.f64 y (fma.f64 z -6 4))
(*.f64 -3 x)
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 (.f64 z 6) x))
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 (.f64 z 6) x))
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 (.f64 z 6) x))
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(.f64 6 (.f64 z x))
(.f64 (.f64 z 6) x)
(.f64 z (.f64 x 6))
(.f64 x (.f64 z 6))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 (.f64 z 6) x))
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 (.f64 z 6) x))
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 (.f64 z 6) x))
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(.f64 6 (.f64 z x))
(.f64 (.f64 z 6) x)
(.f64 z (.f64 x 6))
(.f64 x (.f64 z 6))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 (.f64 z 6) x))
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 (.f64 z 6) x))
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 (.f64 z 6) x))
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
-4
(-.f64 (*.f64 6 z) 4)
(fma.f64 6 z -4)
(fma.f64 z 6 -4)
(-.f64 (*.f64 6 z) 4)
(fma.f64 6 z -4)
(fma.f64 z 6 -4)
(-.f64 (*.f64 6 z) 4)
(fma.f64 6 z -4)
(fma.f64 z 6 -4)
(*.f64 6 z)
(*.f64 z 6)
(-.f64 (*.f64 6 z) 4)
(fma.f64 6 z -4)
(fma.f64 z 6 -4)
(-.f64 (*.f64 6 z) 4)
(fma.f64 6 z -4)
(fma.f64 z 6 -4)
(-.f64 (*.f64 6 z) 4)
(fma.f64 6 z -4)
(fma.f64 z 6 -4)
(*.f64 6 z)
(*.f64 z 6)
(-.f64 (*.f64 6 z) 4)
(fma.f64 6 z -4)
(fma.f64 z 6 -4)
(-.f64 (*.f64 6 z) 4)
(fma.f64 6 z -4)
(fma.f64 z 6 -4)
(-.f64 (*.f64 6 z) 4)
(fma.f64 6 z -4)
(fma.f64 z 6 -4)

localize107.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))
✓	0.3b	(fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) (neg.f64 x))
✓	9.0b	(-.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (*.f64 x x))
✓	33.0b	(/.f64 (-.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (.f64 x x)) (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) (neg.f64 x)))

Compiler

Compiled 105 to 55 computations (47.6% saved)

series87.0ms (0.7%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	(/.f64 (-.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (.f64 x x)) (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) (neg.f64 x)))
10.0ms	y	@	-inf	(-.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (*.f64 x x))
5.0ms	y	@	0	(/.f64 (-.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (.f64 x x)) (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) (neg.f64 x)))
4.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (.f64 x x)) (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) (neg.f64 x)))
4.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (.f64 x x)) (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) (neg.f64 x)))

rewrite222.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`fma-def_binary64`
309×	`expm1-udef_binary64`
309×	`log1p-udef_binary64`
244×	`fma-neg_binary64`
211×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	115
1	415	58
2	6016	58

Stop Event

1×	node limit

Counts

4 → 330

Calls

Call 1

Inputs
(/.f64 (-.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (.f64 x x)) (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) (neg.f64 x)))
(-.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (*.f64 x x))
(fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) (neg.f64 x))
(.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 36 (pow.f64 (.f64 (+.f64 y x) (-.f64 2/3 z)) 2)) (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) (neg.f64 (/.f64 x (/.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 36 (pow.f64 (.f64 (+.f64 y x) (-.f64 2/3 z)) 2)) (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) (/.f64 x (/.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) 2) (/.f64 1 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) (.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) (/.f64 1 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) (pow.f64 (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) 2) (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) 2) 2) (.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) 2) (/.f64 1 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) (sqrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) 2)) (/.f64 1 (neg.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) (pow.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) 2)) (/.f64 (pow.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) 2) (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x))) (/.f64 (pow.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) 2) (sqrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) 2) 2) 1) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) 2) (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) 2) 2) (sqrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) 2) (sqrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) (pow.f64 (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) 2)) (/.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) 1) (/.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2/3 (.f64 6 (+.f64 y x))) (.f64 (neg.f64 z) (.f64 6 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 6 (+.f64 y x)) 2/3) (.f64 (.f64 6 (+.f64 y x)) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 6 (+.f64 y x)) (-.f64 8/27 (pow.f64 z 3))) (fma.f64 z (+.f64 2/3 z) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 6 (+.f64 y x)) (-.f64 4/9 (.f64 z z))) (+.f64 2/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 36 (pow.f64 (.f64 (+.f64 y x) (-.f64 2/3 z)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 36 (pow.f64 (.f64 (+.f64 y x) (-.f64 2/3 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 6) (+.f64 y x)) (-.f64 2/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 6 (+.f64 y x)) 3) (pow.f64 (-.f64 2/3 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 6 (.f64 (+.f64 y x) (-.f64 2/3 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (.f64 6 (+.f64 y x)) (.f64 (neg.f64 z) (.f64 6 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 6 (+.f64 y x)) 2/3 (.f64 (.f64 6 (+.f64 y x)) (neg.f64 z)))))))

simplify170.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

534×	`associate-/r/_binary64`
388×	`cancel-sign-sub-inv_binary64`
336×	`fma-def_binary64`
284×	`fma-neg_binary64`
246×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	7320
1	1127	6585
2	4652	6177

Stop Event

1×	node limit

Counts

474 → 383

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 36 (.f64 (pow.f64 (-.f64 2/3 z) 2) (pow.f64 x 2))) (pow.f64 x 2)) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x))
(-.f64 (+.f64 (.f64 y (-.f64 (.f64 -72 (/.f64 (.f64 (pow.f64 (-.f64 2/3 z) 2) x) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x))) (.f64 6 (/.f64 (.f64 (-.f64 2/3 z) (-.f64 (.f64 36 (.f64 (pow.f64 (-.f64 2/3 z) 2) (pow.f64 x 2))) (pow.f64 x 2))) (pow.f64 (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 2))))) (.f64 36 (/.f64 (.f64 (pow.f64 (-.f64 2/3 z) 2) (pow.f64 x 2)) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)))) (/.f64 (pow.f64 x 2) (-.f64 (.f64 -6 (*.f64 (-.f64 2/3 z) x)) x)))
(-.f64 (+.f64 (.f64 y (-.f64 (.f64 -72 (/.f64 (.f64 (pow.f64 (-.f64 2/3 z) 2) x) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x))) (.f64 6 (/.f64 (.f64 (-.f64 2/3 z) (-.f64 (.f64 36 (.f64 (pow.f64 (-.f64 2/3 z) 2) (pow.f64 x 2))) (pow.f64 x 2))) (pow.f64 (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 2))))) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 36 (/.f64 (pow.f64 (-.f64 2/3 z) 2) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x))) (.f64 6 (/.f64 (.f64 (-.f64 2/3 z) (-.f64 (.f64 -72 (/.f64 (.f64 (pow.f64 (-.f64 2/3 z) 2) x) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x))) (.f64 6 (/.f64 (.f64 (-.f64 2/3 z) (-.f64 (.f64 36 (.f64 (pow.f64 (-.f64 2/3 z) 2) (pow.f64 x 2))) (pow.f64 x 2))) (pow.f64 (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 2))))) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x))))) (.f64 36 (/.f64 (.f64 (pow.f64 (-.f64 2/3 z) 2) (pow.f64 x 2)) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x))))) (/.f64 (pow.f64 x 2) (-.f64 (.f64 -6 (*.f64 (-.f64 2/3 z) x)) x)))
(-.f64 (+.f64 (.f64 y (-.f64 (.f64 -72 (/.f64 (.f64 (pow.f64 (-.f64 2/3 z) 2) x) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x))) (.f64 6 (/.f64 (.f64 (-.f64 2/3 z) (-.f64 (.f64 36 (.f64 (pow.f64 (-.f64 2/3 z) 2) (pow.f64 x 2))) (pow.f64 x 2))) (pow.f64 (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 2))))) (+.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 36 (/.f64 (pow.f64 (-.f64 2/3 z) 2) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x))) (.f64 6 (/.f64 (.f64 (-.f64 2/3 z) (-.f64 (.f64 -72 (/.f64 (.f64 (pow.f64 (-.f64 2/3 z) 2) x) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x))) (.f64 6 (/.f64 (.f64 (-.f64 2/3 z) (-.f64 (.f64 36 (.f64 (pow.f64 (-.f64 2/3 z) 2) (pow.f64 x 2))) (pow.f64 x 2))) (pow.f64 (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 2))))) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x))))) (+.f64 (.f64 36 (/.f64 (.f64 (pow.f64 (-.f64 2/3 z) 2) (pow.f64 x 2)) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x))) (.f64 -6 (/.f64 (.f64 (pow.f64 y 3) (.f64 (-.f64 2/3 z) (-.f64 (.f64 36 (/.f64 (pow.f64 (-.f64 2/3 z) 2) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x))) (.f64 6 (/.f64 (.f64 (-.f64 2/3 z) (-.f64 (.f64 -72 (/.f64 (.f64 (pow.f64 (-.f64 2/3 z) 2) x) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x))) (.f64 6 (/.f64 (.f64 (-.f64 2/3 z) (-.f64 (.f64 36 (.f64 (pow.f64 (-.f64 2/3 z) 2) (pow.f64 x 2))) (pow.f64 x 2))) (pow.f64 (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 2))))) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)))))) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)))))) (/.f64 (pow.f64 x 2) (-.f64 (.f64 -6 (*.f64 (-.f64 2/3 z) x)) x)))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(-.f64 (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))) (.f64 -6 (.f64 (-.f64 2/3 z) x)))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 36 (.f64 (pow.f64 (-.f64 2/3 z) 2) (pow.f64 x 2))) (pow.f64 x 2)) (.f64 y (-.f64 2/3 z)))) (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))) (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 1/6 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) x) (.f64 -6 (.f64 (-.f64 2/3 z) x))) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)) (*.f64 y (-.f64 2/3 z))))))
(-.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) (-.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 36 (.f64 (pow.f64 (-.f64 2/3 z) 2) (pow.f64 x 2))) (pow.f64 x 2)) (-.f64 2/3 z))) (.f64 1/6 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) x) (.f64 -6 (.f64 (-.f64 2/3 z) x))) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)) (-.f64 2/3 z))))) (.f64 (pow.f64 y 2) (-.f64 2/3 z)))) (+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 36 (.f64 (pow.f64 (-.f64 2/3 z) 2) (pow.f64 x 2))) (pow.f64 x 2)) (.f64 y (-.f64 2/3 z)))) (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))))) (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 1/6 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) x) (.f64 -6 (.f64 (-.f64 2/3 z) x))) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)) (*.f64 y (-.f64 2/3 z))))))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(-.f64 (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))) (.f64 -6 (.f64 (-.f64 2/3 z) x)))
(-.f64 (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) (+.f64 x (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (-.f64 (.f64 36 (.f64 (pow.f64 (-.f64 2/3 z) 2) (pow.f64 x 2))) (pow.f64 x 2)) (-.f64 2/3 z))) (.f64 -1/6 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) x) (.f64 -6 (.f64 (-.f64 2/3 z) x))) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)) (-.f64 2/3 z)))) y)) (.f64 6 (.f64 y (-.f64 2/3 z)))))) (.f64 -6 (.f64 (-.f64 2/3 z) x)))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 (-.f64 (.f64 36 (.f64 (pow.f64 (-.f64 2/3 z) 2) (pow.f64 x 2))) (pow.f64 x 2)) (-.f64 2/3 z))) (.f64 -1/6 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) x) (.f64 -6 (.f64 (-.f64 2/3 z) x))) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)) (-.f64 2/3 z)))) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)) (.f64 (pow.f64 y 2) (-.f64 2/3 z)))) (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) (+.f64 x (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1/6 (/.f64 (-.f64 (.f64 36 (.f64 (pow.f64 (-.f64 2/3 z) 2) (pow.f64 x 2))) (pow.f64 x 2)) (-.f64 2/3 z))) (.f64 -1/6 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) x) (.f64 -6 (.f64 (-.f64 2/3 z) x))) (-.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)) (-.f64 2/3 z)))) y)) (.f64 6 (.f64 y (-.f64 2/3 z))))))) (.f64 -6 (.f64 (-.f64 2/3 z) x)))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (.f64 (-.f64 (+.f64 1 (.f64 -12 (-.f64 2/3 z))) (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (*.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 (-.f64 (+.f64 1 (.f64 -12 (-.f64 2/3 z))) (.f64 -6 (-.f64 2/3 z))) x) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 36 (pow.f64 (-.f64 2/3 z) 2)) 1) (.f64 y (-.f64 2/3 z)))) (.f64 1/6 (/.f64 (.f64 (-.f64 (+.f64 1 (.f64 -12 (-.f64 2/3 z))) (.f64 -6 (-.f64 2/3 z))) (-.f64 (.f64 -6 (-.f64 2/3 z)) 1)) (.f64 y (-.f64 2/3 z))))) (pow.f64 x 2)) (.f64 6 (*.f64 y (-.f64 2/3 z)))))
(+.f64 (.f64 (-.f64 (+.f64 1 (.f64 -12 (-.f64 2/3 z))) (.f64 -6 (-.f64 2/3 z))) x) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 36 (pow.f64 (-.f64 2/3 z) 2)) 1) (.f64 y (-.f64 2/3 z)))) (.f64 1/6 (/.f64 (.f64 (-.f64 (+.f64 1 (.f64 -12 (-.f64 2/3 z))) (.f64 -6 (-.f64 2/3 z))) (-.f64 (.f64 -6 (-.f64 2/3 z)) 1)) (.f64 y (-.f64 2/3 z))))) (.f64 (-.f64 (.f64 -6 (-.f64 2/3 z)) 1) (pow.f64 x 3))) (.f64 y (-.f64 2/3 z)))) (+.f64 (.f64 (-.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 36 (pow.f64 (-.f64 2/3 z) 2)) 1) (.f64 y (-.f64 2/3 z)))) (.f64 1/6 (/.f64 (.f64 (-.f64 (+.f64 1 (.f64 -12 (-.f64 2/3 z))) (.f64 -6 (-.f64 2/3 z))) (-.f64 (.f64 -6 (-.f64 2/3 z)) 1)) (.f64 y (-.f64 2/3 z))))) (pow.f64 x 2)) (.f64 6 (*.f64 y (-.f64 2/3 z))))))
(/.f64 (.f64 (-.f64 (.f64 36 (pow.f64 (-.f64 2/3 z) 2)) 1) x) (-.f64 (*.f64 -6 (-.f64 2/3 z)) 1))
(-.f64 (+.f64 (.f64 -72 (/.f64 (.f64 y (pow.f64 (-.f64 2/3 z) 2)) (-.f64 (.f64 -6 (-.f64 2/3 z)) 1))) (/.f64 (.f64 (-.f64 (.f64 36 (pow.f64 (-.f64 2/3 z) 2)) 1) x) (-.f64 (.f64 -6 (-.f64 2/3 z)) 1))) (.f64 6 (/.f64 (.f64 y (.f64 (-.f64 2/3 z) (-.f64 (.f64 36 (pow.f64 (-.f64 2/3 z) 2)) 1))) (pow.f64 (-.f64 (*.f64 -6 (-.f64 2/3 z)) 1) 2))))
(-.f64 (+.f64 (.f64 36 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 2/3 z) 2)) (.f64 (-.f64 (.f64 -6 (-.f64 2/3 z)) 1) x))) (+.f64 (.f64 -72 (/.f64 (.f64 y (pow.f64 (-.f64 2/3 z) 2)) (-.f64 (.f64 -6 (-.f64 2/3 z)) 1))) (/.f64 (.f64 (-.f64 (.f64 36 (pow.f64 (-.f64 2/3 z) 2)) 1) x) (-.f64 (.f64 -6 (-.f64 2/3 z)) 1)))) (+.f64 (.f64 6 (/.f64 (.f64 y (.f64 (-.f64 2/3 z) (-.f64 (.f64 -72 (/.f64 (.f64 y (pow.f64 (-.f64 2/3 z) 2)) (-.f64 (.f64 -6 (-.f64 2/3 z)) 1))) (.f64 6 (/.f64 (.f64 y (.f64 (-.f64 2/3 z) (-.f64 (.f64 36 (pow.f64 (-.f64 2/3 z) 2)) 1))) (pow.f64 (-.f64 (.f64 -6 (-.f64 2/3 z)) 1) 2)))))) (.f64 (-.f64 (.f64 -6 (-.f64 2/3 z)) 1) x))) (.f64 6 (/.f64 (.f64 y (.f64 (-.f64 2/3 z) (-.f64 (.f64 36 (pow.f64 (-.f64 2/3 z) 2)) 1))) (pow.f64 (-.f64 (.f64 -6 (-.f64 2/3 z)) 1) 2)))))
(-.f64 (+.f64 (.f64 -6 (/.f64 (.f64 y (.f64 (-.f64 (.f64 36 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 2/3 z) 2)) (-.f64 (.f64 -6 (-.f64 2/3 z)) 1))) (.f64 6 (/.f64 (.f64 y (.f64 (-.f64 2/3 z) (-.f64 (.f64 -72 (/.f64 (.f64 y (pow.f64 (-.f64 2/3 z) 2)) (-.f64 (.f64 -6 (-.f64 2/3 z)) 1))) (.f64 6 (/.f64 (.f64 y (.f64 (-.f64 2/3 z) (-.f64 (.f64 36 (pow.f64 (-.f64 2/3 z) 2)) 1))) (pow.f64 (-.f64 (.f64 -6 (-.f64 2/3 z)) 1) 2)))))) (-.f64 (.f64 -6 (-.f64 2/3 z)) 1)))) (-.f64 2/3 z))) (.f64 (-.f64 (.f64 -6 (-.f64 2/3 z)) 1) (pow.f64 x 2)))) (+.f64 (.f64 36 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 2/3 z) 2)) (.f64 (-.f64 (.f64 -6 (-.f64 2/3 z)) 1) x))) (+.f64 (.f64 -72 (/.f64 (.f64 y (pow.f64 (-.f64 2/3 z) 2)) (-.f64 (.f64 -6 (-.f64 2/3 z)) 1))) (/.f64 (.f64 (-.f64 (.f64 36 (pow.f64 (-.f64 2/3 z) 2)) 1) x) (-.f64 (.f64 -6 (-.f64 2/3 z)) 1))))) (+.f64 (.f64 6 (/.f64 (.f64 y (.f64 (-.f64 2/3 z) (-.f64 (.f64 -72 (/.f64 (.f64 y (pow.f64 (-.f64 2/3 z) 2)) (-.f64 (.f64 -6 (-.f64 2/3 z)) 1))) (.f64 6 (/.f64 (.f64 y (.f64 (-.f64 2/3 z) (-.f64 (.f64 36 (pow.f64 (-.f64 2/3 z) 2)) 1))) (pow.f64 (-.f64 (.f64 -6 (-.f64 2/3 z)) 1) 2)))))) (.f64 (-.f64 (.f64 -6 (-.f64 2/3 z)) 1) x))) (.f64 6 (/.f64 (.f64 y (.f64 (-.f64 2/3 z) (-.f64 (.f64 36 (pow.f64 (-.f64 2/3 z) 2)) 1))) (pow.f64 (-.f64 (.f64 -6 (-.f64 2/3 z)) 1) 2)))))
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(-.f64 (+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x)))) x)
(-.f64 (+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x)))) x)
(.f64 -6 (.f64 (-.f64 2/3 z) x))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
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(.f64 -6 (.f64 (-.f64 2/3 z) x))
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(.f64 -6 (.f64 (-.f64 2/3 z) x))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(*.f64 4 (-.f64 y x))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))

Outputs
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(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 6 (.f64 (-.f64 2/3 z) y) (.f64 (-.f64 2/3 z) (*.f64 x -6)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 y 6)))
(.f64 -6 (.f64 (-.f64 2/3 z) x))
(.f64 (-.f64 2/3 z) (.f64 x -6))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 6 (.f64 (-.f64 2/3 z) y) (.f64 (-.f64 2/3 z) (*.f64 x -6)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 y 6)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 6 (.f64 (-.f64 2/3 z) y) (.f64 (-.f64 2/3 z) (*.f64 x -6)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 y 6)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 6 (.f64 (-.f64 2/3 z) y) (.f64 (-.f64 2/3 z) (*.f64 x -6)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 y 6)))
(.f64 -6 (.f64 (-.f64 2/3 z) x))
(.f64 (-.f64 2/3 z) (.f64 x -6))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 6 (.f64 (-.f64 2/3 z) y) (.f64 (-.f64 2/3 z) (*.f64 x -6)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 y 6)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 6 (.f64 (-.f64 2/3 z) y) (.f64 (-.f64 2/3 z) (*.f64 x -6)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 y 6)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 6 (.f64 (-.f64 2/3 z) y) (.f64 (-.f64 2/3 z) (*.f64 x -6)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 y 6)))
(*.f64 4 (-.f64 y x))
(*.f64 (-.f64 y x) 4)
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 4 (-.f64 y x) (.f64 (.f64 -6 z) (-.f64 y x)))
(.f64 (-.f64 y x) (+.f64 (.f64 z -6) 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 4 (-.f64 y x) (.f64 (.f64 -6 z) (-.f64 y x)))
(.f64 (-.f64 y x) (+.f64 (.f64 z -6) 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 4 (-.f64 y x) (.f64 (.f64 -6 z) (-.f64 y x)))
(.f64 (-.f64 y x) (+.f64 (.f64 z -6) 4))
(.f64 -6 (.f64 z (-.f64 y x)))
(.f64 (.f64 -6 z) (-.f64 y x))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 4 (-.f64 y x) (.f64 (.f64 -6 z) (-.f64 y x)))
(.f64 (-.f64 y x) (+.f64 (.f64 z -6) 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 4 (-.f64 y x) (.f64 (.f64 -6 z) (-.f64 y x)))
(.f64 (-.f64 y x) (+.f64 (.f64 z -6) 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 4 (-.f64 y x) (.f64 (.f64 -6 z) (-.f64 y x)))
(.f64 (-.f64 y x) (+.f64 (.f64 z -6) 4))
(.f64 -6 (.f64 z (-.f64 y x)))
(.f64 (.f64 -6 z) (-.f64 y x))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 4 (-.f64 y x) (.f64 (.f64 -6 z) (-.f64 y x)))
(.f64 (-.f64 y x) (+.f64 (.f64 z -6) 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 4 (-.f64 y x) (.f64 (.f64 -6 z) (-.f64 y x)))
(.f64 (-.f64 y x) (+.f64 (.f64 z -6) 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 4 (-.f64 y x) (.f64 (.f64 -6 z) (-.f64 y x)))
(.f64 (-.f64 y x) (+.f64 (.f64 z -6) 4))

eval664.0ms (5%)

Compiler: Compiled 27132 to 16506 computations (39.2% saved)

prune240.0ms (1.8%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	938	21	959
Fresh	14	3	17
Picked	1	0	1
Done	3	1	4
Total	956	25	981

Error

Counts

981 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	42.4b	(.f64 z (.f64 -6 (-.f64 y x)))
▶	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
	52.9b	(.f64 -6 (.f64 z y))
▶	20.8b	(fma.f64 x -3 (*.f64 y 4))
	52.9b	(.f64 z (.f64 -6 y))
✓	21.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) 2/3))
▶	42.8b	(*.f64 x -3)
	0.5b	(-.f64 (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))) (.f64 -6 (.f64 (-.f64 2/3 z) x)))
	32.1b	(.f64 (-.f64 (.f64 6 z) 3) x)
	35.3b	(/.f64 (-.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (.f64 x x)) (-.f64 (.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (.f64 y 6))) x))
	42.2b	(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 y x) 2) 16) (.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 4) x))
▶	32.2b	(.f64 6 (.f64 y (-.f64 2/3 z)))
	42.1b	(+.f64 x (*.f64 4 y))
	32.1b	(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
	32.1b	(.f64 (+.f64 4 (.f64 -6 z)) y)
	42.2b	(/.f64 1 (/.f64 (-.f64 x (.f64 (-.f64 y x) 4)) (-.f64 (.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 16))))
▶	32.3b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
	21.1b	(fma.f64 (*.f64 2/3 (-.f64 y x)) 6 x)
	42.5b	(.f64 -6 (+.f64 (.f64 z y) (*.f64 z (neg.f64 x))))
	20.8b	(+.f64 (.f64 -3 x) (.f64 4 y))
	10.2b	(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (*.f64 y 4))
	51.8b	(/.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
	42.5b	(.f64 (.f64 -6 z) (-.f64 y x))
	52.1b	(.f64 6 (.f64 z x))
	52.1b	(.f64 x (.f64 6 z))

Compiler

Compiled 646 to 471 computations (27.1% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 2/3 z)
	0.0b	(*.f64 (-.f64 y x) 6)
✓	0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
✓	0.3b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

Compiler

Compiled 39 to 21 computations (46.2% saved)

series12.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
1.0ms	x	@	-inf	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
1.0ms	x	@	inf	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
1.0ms	y	@	0	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
1.0ms	z	@	-inf	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))

rewrite113.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`log-prod_binary64`
447×	`fma-def_binary64`
344×	`pow2_binary64`
236×	`expm1-udef_binary64`
236×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	253	31
2	3591	31

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(-.f64 2/3 z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 (*.f64 (-.f64 y x) 6)) (*.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 y x) 6) 2/3) (*.f64 (*.f64 (-.f64 y x) 6) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) (*.f64 6 (-.f64 2/3 z)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) (*.f64 6 (-.f64 2/3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) (*.f64 6 (-.f64 2/3 z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 y x)) (*.f64 6 (-.f64 2/3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (*.f64 6 (-.f64 2/3 z))) (fma.f64 x (+.f64 y x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 6 (-.f64 2/3 z))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 8/27 (pow.f64 z 3)) (*.f64 (-.f64 y x) 6)) (fma.f64 z (+.f64 2/3 z) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4/9 (*.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 y x) 6) (-.f64 8/27 (pow.f64 z 3))) (fma.f64 z (+.f64 2/3 z) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 y x) 6) (-.f64 4/9 (*.f64 z z))) (+.f64 2/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 y x)) (*.f64 6 (-.f64 2/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 y x) 6) 2/3 (*.f64 (*.f64 (-.f64 y x) 6) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (*.f64 (-.f64 y x) 6) (*.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))))) (/.f64 (pow.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) 2) (-.f64 x (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)) x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)) x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)) x)) (sqrt.f64 (fma.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) (fma.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)) (neg.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) 2)) (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) (fma.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)) (neg.f64 x)) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) 3)) (fma.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) (fma.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)) (neg.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) 2)) (-.f64 x (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z))) (fma.f64 (-.f64 y x) (*.f64 6 (-.f64 2/3 z)) (neg.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 2/3 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2/3 (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 2/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 2/3 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 2/3 z)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2/3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 2/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 2/3 z)) (cbrt.f64 (pow.f64 (-.f64 2/3 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 2/3 z) 2)) (cbrt.f64 (-.f64 2/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2/3 z)) (sqrt.f64 (-.f64 2/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8/27 (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 2/3 z) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4/9 (*.f64 z z)) (/.f64 1 (+.f64 2/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z (+.f64 2/3 z) 4/9) (-.f64 8/27 (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2/3 z) (-.f64 4/9 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8/27 (pow.f64 z 3)) (fma.f64 z (+.f64 2/3 z) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4/9 (*.f64 z z)) (+.f64 2/3 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8/27 (pow.f64 z 3))) (neg.f64 (fma.f64 z (+.f64 2/3 z) 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4/9 (*.f64 z z))) (neg.f64 (+.f64 2/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8/27 (pow.f64 (neg.f64 z) 3)) (+.f64 4/9 (-.f64 (pow.f64 (neg.f64 z) 2) (*.f64 2/3 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4/9 (pow.f64 (neg.f64 z) 2)) (-.f64 2/3 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2/3 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2/3 z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2/3 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 2/3 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2/3 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (+.f64 2/3 z) 4/9) (-.f64 8/27 (pow.f64 z 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2/3 z) (-.f64 4/9 (*.f64 z z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2/3 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 2/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 2/3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2/3 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 2/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 2/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 2/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 2/3 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 z) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (neg.f64 (cbrt.f64 z)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 z 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) 2/3)))))

simplify462.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

5346×	`fma-neg_binary64`
602×	`unsub-neg_binary64`
544×	`fma-def_binary64`
290×	`associate--r+_binary64`
276×	`associate--r-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	1388
1	96	1328
2	245	1124
3	852	815
4	2172	815
5	4427	815
6	5487	815
7	6206	815
8	6595	815
9	6711	815
10	6781	815
11	6805	815
12	6805	815
13	6805	815
14	6805	815
15	7336	815
16	7336	815
17	7336	815

Stop Event

1×	node limit

Counts

219 → 161

Calls

Call 1

Inputs
(.f64 -6 (.f64 (-.f64 2/3 z) x))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(.f64 -6 (.f64 (-.f64 2/3 z) x))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
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(.f64 -6 (.f64 (-.f64 2/3 z) x))
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(*.f64 4 (-.f64 y x))
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(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(.f64 -6 (.f64 z (-.f64 y x)))
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(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
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(.f64 6 (.f64 y (-.f64 2/3 z)))
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(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
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(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x))
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(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
2/3
(+.f64 (*.f64 -1 z) 2/3)
(+.f64 (*.f64 -1 z) 2/3)
(+.f64 (*.f64 -1 z) 2/3)
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) 2/3)
(+.f64 (*.f64 -1 z) 2/3)
(+.f64 (*.f64 -1 z) 2/3)
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) 2/3)
(+.f64 (*.f64 -1 z) 2/3)
(+.f64 (*.f64 -1 z) 2/3)

Outputs
(.f64 -6 (.f64 (-.f64 2/3 z) x))
(*.f64 x (fma.f64 z 6 -4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(.f64 (.f64 6 y) (-.f64 2/3 z))
(.f64 (-.f64 2/3 z) (.f64 6 y))
(*.f64 y (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(.f64 (.f64 6 y) (-.f64 2/3 z))
(.f64 (-.f64 2/3 z) (.f64 6 y))
(*.f64 y (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(.f64 (.f64 6 y) (-.f64 2/3 z))
(.f64 (-.f64 2/3 z) (.f64 6 y))
(*.f64 y (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(.f64 -6 (.f64 (-.f64 2/3 z) x))
(*.f64 x (fma.f64 z 6 -4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(.f64 -6 (.f64 (-.f64 2/3 z) x))
(*.f64 x (fma.f64 z 6 -4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(*.f64 4 (-.f64 y x))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(+.f64 (.f64 4 (-.f64 y x)) (.f64 -6 (*.f64 z (-.f64 y x))))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (.f64 (-.f64 2/3 z) (*.f64 6 y)))
(.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (*.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(.f64 (.f64 6 y) (-.f64 2/3 z))
(.f64 (-.f64 2/3 z) (.f64 6 y))
(*.f64 y (fma.f64 -6 z 4))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(.f64 x (+.f64 1 (.f64 -6 (-.f64 2/3 z))))
(*.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x))
(.f64 x (+.f64 1 (.f64 -6 (-.f64 2/3 z))))
(*.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x)))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x)))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x)))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(.f64 x (+.f64 1 (.f64 -6 (-.f64 2/3 z))))
(*.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))
(.f64 x (+.f64 (.f64 z 6) -3))
(*.f64 x (fma.f64 z 6 -3))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(.f64 6 (.f64 y (-.f64 2/3 z)))
(.f64 (.f64 6 y) (-.f64 2/3 z))
(.f64 (-.f64 2/3 z) (.f64 6 y))
(*.f64 y (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(.f64 6 (.f64 y (-.f64 2/3 z)))
(.f64 (.f64 6 y) (-.f64 2/3 z))
(.f64 (-.f64 2/3 z) (.f64 6 y))
(*.f64 y (fma.f64 -6 z 4))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (*.f64 4 (-.f64 y x)) x)
(fma.f64 4 (-.f64 y x) x)
(fma.f64 y 4 (*.f64 x -3))
(fma.f64 x -3 (*.f64 y 4))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x (.f64 (*.f64 6 y) (-.f64 2/3 z)))
(fma.f64 -6 (.f64 (-.f64 2/3 z) x) (fma.f64 (.f64 6 y) (-.f64 2/3 z) x))
(fma.f64 x (+.f64 (.f64 z 6) -3) (.f64 y (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
2/3
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(-.f64 2/3 z)

localize8.0ms (0.1%)

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

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 2/3 z)
	0.2b	(.f64 6 (.f64 y (-.f64 2/3 z)))
	0.2b	(*.f64 y (-.f64 2/3 z))

Compiler

Compiled 22 to 15 computations (31.8% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 2/3 z)
✓	0.0b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
✓	0.2b	(*.f64 (-.f64 2/3 z) x)
✓	0.3b	(.f64 -6 (.f64 (-.f64 2/3 z) x))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series14.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 -6 (.f64 (-.f64 2/3 z) x))
1.0ms	x	@	0	(.f64 -6 (.f64 (-.f64 2/3 z) x))
1.0ms	x	@	inf	(.f64 -6 (.f64 (-.f64 2/3 z) x))
1.0ms	z	@	inf	(.f64 -6 (.f64 (-.f64 2/3 z) x))
1.0ms	z	@	-inf	(.f64 -6 (.f64 (-.f64 2/3 z) x))

rewrite124.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`log-prod_binary64`
369×	`exp-prod_binary64`
356×	`prod-exp_binary64`
321×	`fma-def_binary64`
302×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	205	28
2	2786	28

Stop Event

1×	node limit

Counts

3 → 136

Calls

Call 1

Inputs
(.f64 -6 (.f64 (-.f64 2/3 z) x))
(*.f64 (-.f64 2/3 z) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -6 (*.f64 (-.f64 2/3 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 -6 x)) (-.f64 2/3 z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 -6 x)) (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 -6 x)) (-.f64 2/3 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 -6 x)) (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 36 (pow.f64 (*.f64 (-.f64 2/3 z) x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x)))) 2)) (cbrt.f64 (log.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x))))) (sqrt.f64 (log.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 36 (pow.f64 (*.f64 (-.f64 2/3 z) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 -6 x)) (-.f64 2/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 -6 (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 -6 (-.f64 2/3 z))) (*.f64 (log.f64 x) 1)))))))

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(expm1.f64 (fma.f64 -6 (*.f64 (-.f64 2/3 z) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -6 (*.f64 (-.f64 2/3 z) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -6 (*.f64 (-.f64 2/3 z) x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -6 (*.f64 (-.f64 2/3 z) x) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -6 (*.f64 (-.f64 2/3 z) x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -6 (*.f64 (-.f64 2/3 z) x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -6 (*.f64 (-.f64 2/3 z) x) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -6 (*.f64 (-.f64 2/3 z) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 2/3 z) (*.f64 x -6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 -6 (*.f64 (-.f64 2/3 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -6 (-.f64 2/3 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 2/3 z) x) -6 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -6 (*.f64 (-.f64 2/3 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -6 (*.f64 (-.f64 2/3 z) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x))) (cbrt.f64 (*.f64 36 (pow.f64 (*.f64 (-.f64 2/3 z) x) 2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 36 (pow.f64 (*.f64 (-.f64 2/3 z) x) 2))) (cbrt.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 -6 (*.f64 (-.f64 2/3 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -6 (*.f64 (-.f64 2/3 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 2/3 z) x) 2)) (*.f64 (cbrt.f64 (*.f64 (-.f64 2/3 z) x)) -6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x))) (sqrt.f64 (*.f64 -6 (*.f64 (-.f64 2/3 z) x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -6 (*.f64 (-.f64 2/3 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 2/3 z) x)) (*.f64 (sqrt.f64 (*.f64 (-.f64 2/3 z) x)) -6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -6 (-.f64 2/3 z)) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -6 x) (-.f64 2/3 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -6 (cbrt.f64 (pow.f64 (*.f64 (-.f64 2/3 z) x) 2))) (cbrt.f64 (*.f64 (-.f64 2/3 z) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -6 (sqrt.f64 (*.f64 (-.f64 2/3 z) x))) (sqrt.f64 (*.f64 (-.f64 2/3 z) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -6 (-.f64 2/3 z)) 1) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -6 (-.f64 2/3 z)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -6 (-.f64 2/3 z)) (sqrt.f64 x)) (sqrt.f64 x) x)))))

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

970×	`fma-def_binary64`
370×	`fma-neg_binary64`
153×	`distribute-rgt-in_binary64`
129×	`distribute-lft-in_binary64`
119×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	472
1	72	415
2	165	355
3	351	355
4	777	355
5	1838	355
6	2580	355
7	2929	355
8	2929	355

Stop Event

1×

saturated

Counts

184 → 155

Calls

Call 1

Inputs
(*.f64 -4 x)
(+.f64 (.f64 6 (.f64 z x)) (*.f64 -4 x))
(+.f64 (.f64 6 (.f64 z x)) (*.f64 -4 x))
(+.f64 (.f64 6 (.f64 z x)) (*.f64 -4 x))
(.f64 6 (.f64 z x))
(+.f64 (.f64 -4 x) (.f64 6 (*.f64 z x)))
(+.f64 (.f64 -4 x) (.f64 6 (*.f64 z x)))
(+.f64 (.f64 -4 x) (.f64 6 (*.f64 z x)))
(.f64 6 (.f64 z x))
(+.f64 (.f64 -4 x) (.f64 6 (*.f64 z x)))
(+.f64 (.f64 -4 x) (.f64 6 (*.f64 z x)))
(+.f64 (.f64 -4 x) (.f64 6 (*.f64 z x)))
(*.f64 2/3 x)
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(+.f64 (*.f64 -4 x) x)
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (*.f64 -4 x) x))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (*.f64 -4 x) x))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (*.f64 -4 x) x))
(.f64 6 (.f64 z x))
(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
(.f64 6 (.f64 z x))
(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x))

Outputs
(*.f64 -4 x)
(+.f64 (.f64 6 (.f64 z x)) (*.f64 -4 x))
(fma.f64 -4 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -4 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -4))
(+.f64 (.f64 6 (.f64 z x)) (*.f64 -4 x))
(fma.f64 -4 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -4 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -4))
(+.f64 (.f64 6 (.f64 z x)) (*.f64 -4 x))
(fma.f64 -4 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -4 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -4))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 x z))
(.f64 z (.f64 x 6))
(+.f64 (.f64 -4 x) (.f64 6 (*.f64 z x)))
(fma.f64 -4 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -4 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -4))
(+.f64 (.f64 -4 x) (.f64 6 (*.f64 z x)))
(fma.f64 -4 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -4 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -4))
(+.f64 (.f64 -4 x) (.f64 6 (*.f64 z x)))
(fma.f64 -4 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -4 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -4))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 x z))
(.f64 z (.f64 x 6))
(+.f64 (.f64 -4 x) (.f64 6 (*.f64 z x)))
(fma.f64 -4 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -4 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -4))
(+.f64 (.f64 -4 x) (.f64 6 (*.f64 z x)))
(fma.f64 -4 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -4 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -4))
(+.f64 (.f64 -4 x) (.f64 6 (*.f64 z x)))
(fma.f64 -4 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -4 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -4))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(fma.f64 2/3 x (neg.f64 (*.f64 x z)))
(*.f64 x (-.f64 2/3 z))
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(fma.f64 2/3 x (neg.f64 (*.f64 x z)))
(*.f64 x (-.f64 2/3 z))
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(fma.f64 2/3 x (neg.f64 (*.f64 x z)))
(*.f64 x (-.f64 2/3 z))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(fma.f64 2/3 x (neg.f64 (*.f64 x z)))
(*.f64 x (-.f64 2/3 z))
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(fma.f64 2/3 x (neg.f64 (*.f64 x z)))
(*.f64 x (-.f64 2/3 z))
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(fma.f64 2/3 x (neg.f64 (*.f64 x z)))
(*.f64 x (-.f64 2/3 z))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 x z))
(*.f64 x (neg.f64 z))
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(fma.f64 2/3 x (neg.f64 (*.f64 x z)))
(*.f64 x (-.f64 2/3 z))
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(fma.f64 2/3 x (neg.f64 (*.f64 x z)))
(*.f64 x (-.f64 2/3 z))
(+.f64 (.f64 2/3 x) (.f64 -1 (*.f64 z x)))
(fma.f64 2/3 x (neg.f64 (*.f64 x z)))
(*.f64 x (-.f64 2/3 z))
(+.f64 (*.f64 -4 x) x)
(*.f64 -3 x)
(*.f64 x -3)
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (*.f64 -4 x) x))
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (*.f64 -4 x) x))
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(+.f64 (.f64 6 (.f64 z x)) (+.f64 (*.f64 -4 x) x))
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 x z))
(.f64 z (.f64 x 6))
(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 x z))
(.f64 z (.f64 x 6))
(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x))
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x))
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x))
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))
(.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x))
(fma.f64 6 (.f64 x z) (.f64 -3 x))
(.f64 x (+.f64 (.f64 6 z) -3))
(*.f64 x (fma.f64 6 z -3))

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x -3 (*.f64 y 4))

Compiler

Compiled 16 to 11 computations (31.3% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 x -3 (*.f64 y 4))
1.0ms	y	@	0	(fma.f64 x -3 (*.f64 y 4))
1.0ms	y	@	-inf	(fma.f64 x -3 (*.f64 y 4))
1.0ms	y	@	inf	(fma.f64 x -3 (*.f64 y 4))
1.0ms	x	@	-inf	(fma.f64 x -3 (*.f64 y 4))

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`pow1_binary64`
571×	`add-log-exp_binary64`
571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	142	8
2	1531	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 x -3 (*.f64 y 4))

Outputs

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

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	168
1	12	168
2	15	168

Stop Event

1×

saturated

Counts

45 → 25

Calls

Call 1

Inputs
(*.f64 4 y)
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(*.f64 -3 x)
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(*.f64 -3 x)
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(*.f64 -3 x)
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(*.f64 4 y)
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(*.f64 4 y)
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))
(+.f64 (.f64 -3 x) (.f64 4 y))

Outputs
(*.f64 4 y)
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(*.f64 -3 x)
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(*.f64 -3 x)
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(*.f64 -3 x)
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(*.f64 4 y)
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(*.f64 4 y)
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))
(+.f64 (.f64 -3 x) (.f64 4 y))
(fma.f64 -3 x (*.f64 4 y))
(fma.f64 4 y (*.f64 -3 x))

eval260.0ms (2%)

Compiler: Compiled 7538 to 5040 computations (33.1% saved)

prune133.0ms (1%)

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	523	7	530
Fresh	4	15	19
Picked	0	1	1
Done	0	5	5
Total	527	28	555

Error

Counts

555 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	42.4b	(.f64 z (.f64 -6 (-.f64 y x)))
✓	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
	52.9b	(.f64 -6 (.f64 z y))
✓	20.8b	(fma.f64 x -3 (*.f64 y 4))
	52.9b	(.f64 z (.f64 -6 y))
✓	21.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) 2/3))
✓	42.8b	(*.f64 x -3)
▶	0.5b	(-.f64 (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))) (.f64 -6 (.f64 (-.f64 2/3 z) x)))
▶	32.1b	(.f64 (-.f64 (.f64 6 z) 3) x)
	35.3b	(/.f64 (-.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (.f64 x x)) (-.f64 (.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (.f64 y 6))) x))
	20.8b	(+.f64 (.f64 y 4) (.f64 x -3))
	42.2b	(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 y x) 2) 16) (.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 4) x))
✓	32.2b	(.f64 6 (.f64 y (-.f64 2/3 z)))
	32.1b	(.f64 (+.f64 4 (.f64 -6 z)) y)
	42.1b	(/.f64 (-.f64 (.f64 (.f64 x -3) (.f64 x -3)) (.f64 16 (.f64 y y))) (-.f64 (.f64 x -3) (*.f64 y 4)))
	42.2b	(/.f64 1 (/.f64 (-.f64 x (.f64 (-.f64 y x) 4)) (-.f64 (.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 16))))
✓	32.3b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
	32.3b	(fma.f64 (*.f64 (-.f64 2/3 z) x) -6 x)
	52.1b	(.f64 x (.f64 6 z))
▶	41.8b	(*.f64 y 4)
	32.1b	(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
▶	52.9b	(.f64 y (.f64 z -6))
	42.5b	(.f64 -6 (+.f64 (.f64 z y) (*.f64 z (neg.f64 x))))
	41.9b	(.f64 6 (.f64 y 2/3))
	10.2b	(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (*.f64 y 4))
▶	51.8b	(/.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
	42.5b	(.f64 (.f64 -6 z) (-.f64 y x))
	52.1b	(.f64 6 (.f64 z x))

Compiler

Compiled 671 to 492 computations (26.7% saved)

localize86.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (-.f64 2/3 z) x)
	0.2b	(*.f64 y (-.f64 2/3 z))
✓	0.3b	(.f64 -12 (.f64 (-.f64 2/3 z) x))
	0.3b	(.f64 -6 (.f64 (-.f64 2/3 z) x))

Compiler

Compiled 95 to 66 computations (30.5% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 -12 (.f64 (-.f64 2/3 z) x))
1.0ms	x	@	0	(.f64 -12 (.f64 (-.f64 2/3 z) x))
1.0ms	x	@	inf	(.f64 -12 (.f64 (-.f64 2/3 z) x))
1.0ms	x	@	-inf	(.f64 -12 (.f64 (-.f64 2/3 z) x))
1.0ms	z	@	-inf	(.f64 -12 (.f64 (-.f64 2/3 z) x))

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`pow1_binary64`
827×	`add-log-exp_binary64`
827×	`log1p-expm1-u_binary64`
827×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	174	10
2	2149	10

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 -12 (.f64 (-.f64 2/3 z) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -12 (*.f64 (-.f64 2/3 z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -12 (*.f64 (-.f64 2/3 z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -12 (*.f64 (-.f64 2/3 z) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -12 (*.f64 (-.f64 2/3 z) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -12 (*.f64 (-.f64 2/3 z) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 144 (pow.f64 (*.f64 (-.f64 2/3 z) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -12) (*.f64 (-.f64 2/3 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -12 (*.f64 (-.f64 2/3 z) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -12 (*.f64 (-.f64 2/3 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -12 (*.f64 (-.f64 2/3 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -12 (*.f64 (-.f64 2/3 z) x))))))))

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`fma-def_binary64`
8×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	16	108
2	31	90
3	41	90

Stop Event

1×

saturated

Counts

23 → 16

Calls

Call 1

Inputs
(*.f64 -8 x)
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(.f64 12 (.f64 z x))
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(.f64 12 (.f64 z x))
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))

Outputs
(*.f64 -8 x)
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(fma.f64 -8 x (.f64 12 (.f64 x z)))
(.f64 x (+.f64 -8 (.f64 12 z)))
(*.f64 x (fma.f64 12 z -8))
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(fma.f64 -8 x (.f64 12 (.f64 x z)))
(.f64 x (+.f64 -8 (.f64 12 z)))
(*.f64 x (fma.f64 12 z -8))
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(fma.f64 -8 x (.f64 12 (.f64 x z)))
(.f64 x (+.f64 -8 (.f64 12 z)))
(*.f64 x (fma.f64 12 z -8))
(.f64 12 (.f64 z x))
(.f64 12 (.f64 x z))
(.f64 x (.f64 12 z))
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(fma.f64 -8 x (.f64 12 (.f64 x z)))
(.f64 x (+.f64 -8 (.f64 12 z)))
(*.f64 x (fma.f64 12 z -8))
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(fma.f64 -8 x (.f64 12 (.f64 x z)))
(.f64 x (+.f64 -8 (.f64 12 z)))
(*.f64 x (fma.f64 12 z -8))
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(fma.f64 -8 x (.f64 12 (.f64 x z)))
(.f64 x (+.f64 -8 (.f64 12 z)))
(*.f64 x (fma.f64 12 z -8))
(.f64 12 (.f64 z x))
(.f64 12 (.f64 x z))
(.f64 x (.f64 12 z))
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(fma.f64 -8 x (.f64 12 (.f64 x z)))
(.f64 x (+.f64 -8 (.f64 12 z)))
(*.f64 x (fma.f64 12 z -8))
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(fma.f64 -8 x (.f64 12 (.f64 x z)))
(.f64 x (+.f64 -8 (.f64 12 z)))
(*.f64 x (fma.f64 12 z -8))
(+.f64 (.f64 -8 x) (.f64 12 (*.f64 z x)))
(fma.f64 -8 x (.f64 12 (.f64 x z)))
(.f64 x (+.f64 -8 (.f64 12 z)))
(*.f64 x (fma.f64 12 z -8))

localize4.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 y (.f64 z -6))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series9.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(.f64 y (.f64 z -6))
1.0ms	y	@	inf	(.f64 y (.f64 z -6))
1.0ms	z	@	inf	(.f64 y (.f64 z -6))
1.0ms	z	@	0	(.f64 y (.f64 z -6))
0.0ms	z	@	-inf	(.f64 y (.f64 z -6))

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`pow1_binary64`
515×	`add-log-exp_binary64`
515×	`log1p-expm1-u_binary64`
515×	`expm1-log1p-u_binary64`
504×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1401	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 y (.f64 z -6))

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

35 → 12

Calls

Call 1

Inputs
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))

Outputs
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))
(.f64 -6 (.f64 y z))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 6 z) 3)
✓	0.1b	(.f64 (-.f64 (.f64 6 z) 3) x)

Compiler

Compiled 22 to 16 computations (27.3% saved)

series4.0ms (0%)

Counts

2 → 15

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (-.f64 (.f64 6 z) 3) x)
1.0ms	z	@	0	(.f64 (-.f64 (.f64 6 z) 3) x)
1.0ms	z	@	-inf	(.f64 (-.f64 (.f64 6 z) 3) x)
1.0ms	z	@	inf	(.f64 (-.f64 (.f64 6 z) 3) x)
0.0ms	x	@	inf	(.f64 (-.f64 (.f64 6 z) 3) x)

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`pow1_binary64`
783×	`add-log-exp_binary64`
783×	`log1p-expm1-u_binary64`
783×	`expm1-log1p-u_binary64`
770×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	173	13
2	2068	13

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 6 z) 3) x)
(-.f64 (*.f64 6 z) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 6 z) x) (*.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 6 z)) (*.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 6 z -3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 216 (pow.f64 z 3)) -27) x) (+.f64 (*.f64 36 (*.f64 z z)) (+.f64 9 (*.f64 z 18))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 36 (*.f64 z z)) -9) x) (fma.f64 6 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 216 (pow.f64 z 3)) -27)) (+.f64 (*.f64 36 (*.f64 z z)) (+.f64 9 (*.f64 z 18))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (*.f64 36 (*.f64 z z)) -9)) (fma.f64 6 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 6 z -3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 6 z -3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 6 z -3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 6 z -3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 6 z -3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 6 z -3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 6 z -3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 6 z -3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 6 z -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 6 z -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 6 z -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 6 z -3) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 6 z) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 6 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 6 z -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 6 z -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 6 z -3)) (pow.f64 (cbrt.f64 (fma.f64 6 z -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 6 z -3)) 2) (cbrt.f64 (fma.f64 6 z -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 6 z -3)) (sqrt.f64 (fma.f64 6 z -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 216 (pow.f64 z 3)) -27) (/.f64 1 (+.f64 (*.f64 36 (*.f64 z z)) (+.f64 9 (*.f64 z 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 36 (*.f64 z z)) -9) (/.f64 1 (fma.f64 6 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 36 (*.f64 z z)) (+.f64 9 (*.f64 z 18))) (+.f64 (*.f64 216 (pow.f64 z 3)) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 6 z 3) (+.f64 (*.f64 36 (*.f64 z z)) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 216 (pow.f64 z 3)) -27) (+.f64 (*.f64 36 (*.f64 z z)) (+.f64 9 (*.f64 z 18))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 216 (pow.f64 z 3)) -27) (+.f64 (*.f64 36 (*.f64 z z)) (-.f64 9 (*.f64 (*.f64 6 z) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 36 (*.f64 z z)) -9) (fma.f64 6 z 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 36 (*.f64 z z)) -9) (-.f64 (*.f64 6 z) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 216 (pow.f64 z 3)) -27)) (neg.f64 (+.f64 (*.f64 36 (*.f64 z z)) (+.f64 9 (*.f64 z 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 36 (*.f64 z z)) -9)) (neg.f64 (fma.f64 6 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 6 z -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 6 z -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 6 z -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 6 z -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 6 z -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 6 z -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 6 z -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 6 z -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 6 z -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 6 z -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 z -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 6 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 6 z) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 6 z)) 2) (cbrt.f64 (*.f64 6 z)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 6 z)) (sqrt.f64 (*.f64 6 z)) -3)))))

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`fma-def_binary64`
7×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	126
1	17	117
2	31	99
3	40	99

Stop Event

1×

saturated

Counts

66 → 58

Calls

Call 1

Inputs
(*.f64 -3 x)
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(.f64 6 (.f64 z x))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(.f64 6 (.f64 z x))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
-3
(*.f64 6 z)
(*.f64 6 z)

Outputs
(*.f64 -3 x)
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -3 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -3))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -3 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -3))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -3 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -3))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 x z))
(.f64 x (.f64 6 z))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -3 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -3))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -3 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -3))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -3 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -3))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 x z))
(.f64 x (.f64 6 z))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -3 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -3))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -3 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -3))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(fma.f64 -3 x (.f64 6 (.f64 x z)))
(.f64 x (+.f64 -3 (.f64 6 z)))
(*.f64 x (fma.f64 6 z -3))
-3
(*.f64 6 z)
(*.f64 6 z)

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.4b	(-.f64 (.f64 y y) (.f64 x x))
✓	9.1b	(.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x)))
✓	19.8b	(/.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))

Compiler

Compiled 52 to 17 computations (67.3% saved)

series16.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(/.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
1.0ms	x	@	inf	(/.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
1.0ms	y	@	inf	(/.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
1.0ms	y	@	0	(/.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
1.0ms	x	@	0	(/.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))

rewrite263.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`log-prod_binary64`
585×	`fma-def_binary64`
253×	`fma-neg_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	276	39
2	4126	39

Stop Event

1×	node limit

Counts

3 → 291

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
(.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x)))
(-.f64 (.f64 y y) (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (*.f64 -6 z) 1) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 -6 z) 1) (-.f64 y x)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 -6 z) 1) (-.f64 y x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 -6 z) 1) (-.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 -6 z) 1) (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 -6 z) 1) (-.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 -6 z) 1) (-.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (/.f64 (*.f64 z (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (*.f64 (*.f64 z (-.f64 (*.f64 y y) (*.f64 x x))) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -6 z) (/.f64 1 (/.f64 1 (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -6 z) (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (*.f64 (*.f64 -6 z) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 -6 z) (+.f64 y x)) (-.f64 y x)) (/.f64 1 (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 -6 z) 1) (-.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (*.f64 -6 z) 1) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 -6 z) 1) (-.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 -6 z) 1) (-.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 -6 z) 1) (-.f64 y x))) 2) (cbrt.f64 (*.f64 (/.f64 (*.f64 -6 z) 1) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 -6 z) (+.f64 y x)) (-.f64 y x))) 2) (*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 -6 z) (+.f64 y x)) (-.f64 y x))) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 -6 z) 1) (-.f64 y x))) (sqrt.f64 (*.f64 (/.f64 (*.f64 -6 z) 1) (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 -6 z) (+.f64 y x)) (-.f64 y x))) (*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 -6 z) (+.f64 y x)) (-.f64 y x))) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6 (*.f64 z (-.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 1 (neg.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y x)) (*.f64 (*.f64 (*.f64 -6 z) (+.f64 y x)) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -6 z) 1) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) 1) (/.f64 (*.f64 -6 z) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -6 z) (+.f64 y x)) (-.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 -6 z) (+.f64 y x)) (-.f64 y x))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 -6 z) (+.f64 y x)) (-.f64 y x))) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 -6 z) (+.f64 y x)) (-.f64 y x))) 1) (/.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 -6 z) (+.f64 y x)) (-.f64 y x))) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -6 (cbrt.f64 (pow.f64 (+.f64 y x) 2))) (/.f64 (*.f64 z (-.f64 (*.f64 y y) (*.f64 x x))) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -6 z) (cbrt.f64 (pow.f64 (+.f64 y x) 2))) (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 y x) 2))) (/.f64 (*.f64 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simplify151.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

568×	`associate-/r/_binary64`
558×	`associate-*l/_binary64`
476×	`associate-/l/_binary64`
443×	`associate-/r*_binary64`
348×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	1452
1	71	1452
2	172	1452
3	443	1182
4	1443	1092
5	3714	1092

Stop Event

1×	node limit

Counts

387 → 310

Calls

Call 1

Inputs
(.f64 -6 (/.f64 (.f64 (-.f64 (pow.f64 y 2) (pow.f64 x 2)) z) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 (-.f64 (pow.f64 y 2) (pow.f64 x 2)) z) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 (-.f64 (pow.f64 y 2) (pow.f64 x 2)) z) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 (-.f64 (pow.f64 y 2) (pow.f64 x 2)) z) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 (-.f64 (pow.f64 y 2) (pow.f64 x 2)) z) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 (-.f64 (pow.f64 y 2) (pow.f64 x 2)) z) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 (-.f64 (pow.f64 y 2) (pow.f64 x 2)) z) (+.f64 y x)))
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(.f64 -6 (.f64 (-.f64 (.f64 y y) (.f64 x x)) z))
(.f64 -6 (.f64 (fma.f64 y y (neg.f64 (*.f64 x x))) z))
(.f64 -6 (.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(pow.f64 y 2)
(*.f64 y y)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))
(-.f64 (.f64 y y) (.f64 x x))
(fma.f64 y y (neg.f64 (*.f64 x x)))
(*.f64 (+.f64 y x) (-.f64 y x))

eval551.0ms (4.1%)

Compiler: Compiled 13280 to 6868 computations (48.3% saved)

prune242.0ms (1.8%)

Pruning

29 alts after pruning (20 fresh and 9 done)

	Pruned	Kept	Total
New	544	7	551
Fresh	4	13	17
Picked	1	0	1
Done	1	9	10
Total	550	29	579

Error

Counts

579 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	42.4b	(.f64 z (.f64 -6 (-.f64 y x)))
✓	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
	52.9b	(.f64 -6 (.f64 z y))
	56.9b	(/.f64 (.f64 x (.f64 x (*.f64 z 6))) (+.f64 y x))
✓	20.8b	(fma.f64 x -3 (*.f64 y 4))
	52.9b	(.f64 z (.f64 -6 y))
	11.8b	(-.f64 (+.f64 (.f64 -8 x) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))) (.f64 -6 (*.f64 (-.f64 2/3 z) x)))
✓	21.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) 2/3))
✓	42.8b	(*.f64 x -3)
	9.9b	(-.f64 (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))) (.f64 -6 (.f64 x 2/3)))
✓	32.1b	(.f64 (-.f64 (.f64 6 z) 3) x)
	20.8b	(+.f64 (.f64 y 4) (.f64 x -3))
	42.2b	(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 y x) 2) 16) (.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 4) x))
✓	32.2b	(.f64 6 (.f64 y (-.f64 2/3 z)))
	10.2b	(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (*.f64 y 4))
	38.3b	(/.f64 (.f64 (+.f64 (.f64 216 (pow.f64 z 3)) -27) x) (+.f64 (.f64 36 (.f64 z z)) (+.f64 9 (*.f64 z 18))))
	32.1b	(.f64 (+.f64 4 (.f64 -6 z)) y)
	42.1b	(/.f64 (-.f64 (.f64 (.f64 x -3) (.f64 x -3)) (.f64 16 (.f64 y y))) (-.f64 (.f64 x -3) (*.f64 y 4)))
✓	32.3b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
	32.3b	(fma.f64 (*.f64 (-.f64 2/3 z) x) -6 x)
	52.1b	(.f64 6 (.f64 z x))
✓	41.8b	(*.f64 y 4)
	32.1b	(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
✓	52.9b	(.f64 y (.f64 z -6))
	42.5b	(.f64 -6 (+.f64 (.f64 z y) (*.f64 z (neg.f64 x))))
	41.9b	(.f64 6 (.f64 y 2/3))
	36.8b	(/.f64 (.f64 (+.f64 (.f64 36 (*.f64 z z)) -9) x) (fma.f64 6 z 3))
	42.5b	(.f64 (.f64 -6 z) (-.f64 y x))
	52.1b	(.f64 (.f64 6 z) x)

Compiler

Compiled 370 to 278 computations (24.9% saved)

regimes461.0ms (3.5%)

Counts

59 → 1

Calls

Call 1

Inputs
(*.f64 y 4)
(*.f64 x -3)
(.f64 6 (.f64 z x))
(.f64 (.f64 6 z) x)
(.f64 y (.f64 z -6))
(.f64 6 (.f64 y 2/3))
(.f64 -6 (.f64 z y))
(.f64 z (.f64 -6 y))
(+.f64 x (*.f64 4 y))
(.f64 6 (.f64 z x))
(.f64 x (.f64 6 z))
(+.f64 (.f64 y 4) (.f64 x -3))
(.f64 z (.f64 -6 (-.f64 y x)))
(.f64 (-.f64 (.f64 6 z) 3) x)
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (.f64 -3 x) (.f64 4 y))
(.f64 (.f64 -6 z) (-.f64 y x))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 (+.f64 4 (.f64 -6 z)) y)
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) 2/3))
(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
(.f64 -6 (+.f64 (.f64 z y) (*.f64 z (neg.f64 x))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
(/.f64 (.f64 x (.f64 x (*.f64 z 6))) (+.f64 y x))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (*.f64 y 4))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(/.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (-.f64 (/.f64 2 3) z)))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 (-.f64 2/3 z))) (+.f64 y x)))
(-.f64 (+.f64 (.f64 -8 x) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))) (.f64 -6 (*.f64 (-.f64 2/3 z) x)))
(/.f64 (-.f64 (.f64 (.f64 x -3) (.f64 x -3)) (.f64 16 (.f64 y y))) (-.f64 (.f64 x -3) (*.f64 y 4)))
(+.f64 x (.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) 6) (+.f64 y x)) (-.f64 (/.f64 2 3) z)))
(-.f64 (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))) (.f64 -6 (.f64 x 2/3)))
(-.f64 (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))) (.f64 -6 (.f64 (-.f64 2/3 z) x)))
(fma.f64 x -3 (*.f64 y 4))
(fma.f64 (*.f64 (-.f64 2/3 z) x) -6 x)
(fma.f64 (*.f64 2/3 (-.f64 y x)) 6 x)
(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
(/.f64 (.f64 (+.f64 (.f64 36 (*.f64 z z)) -9) x) (fma.f64 6 z 3))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 y x) 2) 16) (.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 4) x))
(/.f64 (.f64 (+.f64 (.f64 216 (pow.f64 z 3)) -27) x) (+.f64 (.f64 36 (.f64 z z)) (+.f64 9 (*.f64 z 18))))
(/.f64 1 (/.f64 (-.f64 x (.f64 (-.f64 y x) 4)) (-.f64 (.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 16))))
(/.f64 (-.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (.f64 x x)) (-.f64 (.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (.f64 y 6))) x))
(/.f64 1 (/.f64 (-.f64 x (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))) (-.f64 (.f64 x x) (pow.f64 (.f64 6 (*.f64 (-.f64 y x) (-.f64 2/3 z))) 2))))
(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
(/.f64 (-.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (.f64 x x)) (fma.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z) (neg.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)) 2)
(fma.f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (.f64 6 (-.f64 2/3 z))) x)
(fma.f64 (-.f64 y x) (expm1.f64 (log1p.f64 (fma.f64 z -6 4))) x)
(fma.f64 (.f64 (.f64 (-.f64 y x) 6) (cbrt.f64 (pow.f64 (-.f64 2/3 z) 2))) (cbrt.f64 (-.f64 2/3 z)) x)
(fma.f64 (cbrt.f64 (.f64 36 (pow.f64 (-.f64 y x) 2))) (.f64 (cbrt.f64 (*.f64 (-.f64 y x) 6)) (-.f64 2/3 z)) x)

Outputs
(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)

Calls

6 calls:

106.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
87.0ms	z
80.0ms	x
70.0ms	y
26.0ms	(-.f64 (/.f64 2 3) z)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`z`
0.2b	1	`(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))`
0.2b	1	`(-.f64 (/.f64 2 3) z)`
0.2b	1	`(-.f64 (/.f64 2 3) z)`

Compiler

Compiled 754 to 460 computations (39% saved)

regimes269.0ms (2%)

Counts

52 → 1

Calls

Call 1

Inputs
(*.f64 y 4)
(*.f64 x -3)
(.f64 6 (.f64 z x))
(.f64 (.f64 6 z) x)
(.f64 y (.f64 z -6))
(.f64 6 (.f64 y 2/3))
(.f64 -6 (.f64 z y))
(.f64 z (.f64 -6 y))
(+.f64 x (*.f64 4 y))
(.f64 6 (.f64 z x))
(.f64 x (.f64 6 z))
(+.f64 (.f64 y 4) (.f64 x -3))
(.f64 z (.f64 -6 (-.f64 y x)))
(.f64 (-.f64 (.f64 6 z) 3) x)
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (.f64 -3 x) (.f64 4 y))
(.f64 (.f64 -6 z) (-.f64 y x))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 (+.f64 4 (.f64 -6 z)) y)
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) 2/3))
(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
(.f64 -6 (+.f64 (.f64 z y) (*.f64 z (neg.f64 x))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
(/.f64 (.f64 x (.f64 x (*.f64 z 6))) (+.f64 y x))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (*.f64 y 4))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(/.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (-.f64 (/.f64 2 3) z)))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 (-.f64 2/3 z))) (+.f64 y x)))
(-.f64 (+.f64 (.f64 -8 x) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))) (.f64 -6 (*.f64 (-.f64 2/3 z) x)))
(/.f64 (-.f64 (.f64 (.f64 x -3) (.f64 x -3)) (.f64 16 (.f64 y y))) (-.f64 (.f64 x -3) (*.f64 y 4)))
(+.f64 x (.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) 6) (+.f64 y x)) (-.f64 (/.f64 2 3) z)))
(-.f64 (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))) (.f64 -6 (.f64 x 2/3)))
(-.f64 (+.f64 (.f64 -12 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))) (.f64 -6 (.f64 (-.f64 2/3 z) x)))
(fma.f64 x -3 (*.f64 y 4))
(fma.f64 (*.f64 (-.f64 2/3 z) x) -6 x)
(fma.f64 (*.f64 2/3 (-.f64 y x)) 6 x)
(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
(/.f64 (.f64 (+.f64 (.f64 36 (*.f64 z z)) -9) x) (fma.f64 6 z 3))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 y x) 2) 16) (.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 4) x))
(/.f64 (.f64 (+.f64 (.f64 216 (pow.f64 z 3)) -27) x) (+.f64 (.f64 36 (.f64 z z)) (+.f64 9 (*.f64 z 18))))
(/.f64 1 (/.f64 (-.f64 x (.f64 (-.f64 y x) 4)) (-.f64 (.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 16))))
(/.f64 (-.f64 (pow.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))) 2) (.f64 x x)) (-.f64 (.f64 (-.f64 2/3 z) (+.f64 (.f64 -6 x) (.f64 y 6))) x))
(/.f64 1 (/.f64 (-.f64 x (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))) (-.f64 (.f64 x x) (pow.f64 (.f64 6 (*.f64 (-.f64 y x) (-.f64 2/3 z))) 2))))

Outputs
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))

Calls

6 calls:

76.0ms	x
53.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
42.0ms	y
33.0ms	z
19.0ms	(-.f64 (/.f64 2 3) z)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`z`
0.2b	1	`(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))`
0.2b	1	`(-.f64 (/.f64 2 3) z)`
0.2b	1	`(-.f64 (/.f64 2 3) z)`

Compiler

Compiled 640 to 397 computations (38% saved)

regimes245.0ms (1.8%)

Counts

33 → 1

Calls

Call 1

Inputs
(*.f64 y 4)
(*.f64 x -3)
(.f64 6 (.f64 z x))
(.f64 (.f64 6 z) x)
(.f64 y (.f64 z -6))
(.f64 6 (.f64 y 2/3))
(.f64 -6 (.f64 z y))
(.f64 z (.f64 -6 y))
(+.f64 x (*.f64 4 y))
(.f64 6 (.f64 z x))
(.f64 x (.f64 6 z))
(+.f64 (.f64 y 4) (.f64 x -3))
(.f64 z (.f64 -6 (-.f64 y x)))
(.f64 (-.f64 (.f64 6 z) 3) x)
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (.f64 -3 x) (.f64 4 y))
(.f64 (.f64 -6 z) (-.f64 y x))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 (+.f64 4 (.f64 -6 z)) y)
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) 2/3))
(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
(.f64 -6 (+.f64 (.f64 z y) (*.f64 z (neg.f64 x))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
(/.f64 (.f64 x (.f64 x (*.f64 z 6))) (+.f64 y x))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (*.f64 y 4))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(/.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))

Outputs
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))

Calls

6 calls:

73.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
33.0ms	x
31.0ms	y
28.0ms	z
14.0ms	(-.f64 (/.f64 2 3) z)

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`
0.4b	1	`z`
0.4b	1	`(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))`
0.4b	1	`(-.f64 (/.f64 2 3) z)`
0.4b	1	`(-.f64 (/.f64 2 3) z)`

Compiler

Compiled 298 to 189 computations (36.6% saved)

regimes213.0ms (1.6%)

Counts

29 → 3

Calls

Call 1

Inputs
(*.f64 y 4)
(*.f64 x -3)
(.f64 6 (.f64 z x))
(.f64 (.f64 6 z) x)
(.f64 y (.f64 z -6))
(.f64 6 (.f64 y 2/3))
(.f64 -6 (.f64 z y))
(.f64 z (.f64 -6 y))
(+.f64 x (*.f64 4 y))
(.f64 6 (.f64 z x))
(.f64 x (.f64 6 z))
(+.f64 (.f64 y 4) (.f64 x -3))
(.f64 z (.f64 -6 (-.f64 y x)))
(.f64 (-.f64 (.f64 6 z) 3) x)
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (.f64 -3 x) (.f64 4 y))
(.f64 (.f64 -6 z) (-.f64 y x))
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 (+.f64 4 (.f64 -6 z)) y)
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) 2/3))
(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
(.f64 -6 (+.f64 (.f64 z y) (*.f64 z (neg.f64 x))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
(/.f64 (.f64 x (.f64 x (*.f64 z 6))) (+.f64 y x))

Outputs
(.f64 z (.f64 -6 (-.f64 y x)))
(+.f64 (.f64 y 4) (.f64 x -3))
(.f64 z (.f64 -6 (-.f64 y x)))

Calls

3 calls:

74.0ms	z
68.0ms	y
56.0ms	x

Results

Error	Segments	Branch
14.3b	3	`x`
12.9b	5	`y`
1.7b	3	`z`

Compiler

Compiled 214 to 132 computations (38.3% saved)

bsearch71.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	1.1690437629557916e-11	42.19870277705318
26.0ms	-34.09398674516787	-0.003713858480237905

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes51.0ms (0.4%)

Counts

12 → 4

Calls

Call 1

Inputs
(*.f64 y 4)
(*.f64 x -3)
(.f64 6 (.f64 z x))
(.f64 (.f64 6 z) x)
(.f64 y (.f64 z -6))
(.f64 6 (.f64 y 2/3))
(.f64 -6 (.f64 z y))
(.f64 z (.f64 -6 y))
(+.f64 x (*.f64 4 y))
(.f64 6 (.f64 z x))
(.f64 x (.f64 6 z))
(+.f64 (.f64 y 4) (.f64 x -3))

Outputs
(.f64 z (.f64 -6 y))
(.f64 (.f64 6 z) x)
(+.f64 (.f64 y 4) (.f64 x -3))
(.f64 6 (.f64 z x))

Calls

3 calls:

31.0ms	z
9.0ms	x
8.0ms	y

Results

Error	Segments	Branch
20.8b	1	`x`
20.8b	1	`y`
8.8b	4	`z`

Compiler

Compiled 73 to 48 computations (34.2% saved)

bsearch85.0ms (0.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
26.0ms	1.1690437629557916e-11	42.19870277705318
22.0ms	-34.09398674516787	-0.003713858480237905
36.0ms	-1.9024863765667563e+173	-3.19039645395074e+168

Compiler

Compiled 166 to 129 computations (22.3% saved)

regimes210.0ms (1.6%)

Counts

11 → 9

Calls

Call 1

Inputs
(*.f64 y 4)
(*.f64 x -3)
(.f64 6 (.f64 z x))
(.f64 (.f64 6 z) x)
(.f64 y (.f64 z -6))
(.f64 6 (.f64 y 2/3))
(.f64 -6 (.f64 z y))
(.f64 z (.f64 -6 y))
(+.f64 x (*.f64 4 y))
(.f64 6 (.f64 z x))
(.f64 x (.f64 6 z))

Outputs
(.f64 z (.f64 -6 y))
(.f64 (.f64 6 z) x)
(*.f64 y 4)
(*.f64 x -3)
(*.f64 y 4)
(*.f64 x -3)
(*.f64 y 4)
(.f64 z (.f64 -6 y))
(.f64 6 (.f64 z x))

Calls

3 calls:

88.0ms	x
65.0ms	z
51.0ms	y

Results

Error	Segments	Branch
29.1b	3	`x`
31.7b	3	`y`
26.1b	9	`z`

Compiler

Compiled 66 to 43 computations (34.8% saved)

bsearch414.0ms (3.1%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
45.0ms	1.4231125978861493e+23	1.2145139020878839e+25
54.0ms	4.2078831460431275e-23	7.908525474699636e-20
41.0ms	3.2477175009371946e-69	2.1969712837583694e-66
56.0ms	1.0640712581888335e-141	4.7587485395429565e-141
53.0ms	4.216083883107624e-211	7.745222583685735e-211
52.0ms	-6.980857731895762e-304	1.136853594440161e-307
44.0ms	-2.4203105798509114e-6	-7.444965926460898e-8
68.0ms	-1.9024863765667563e+173	-3.19039645395074e+168

Compiler

Compiled 166 to 129 computations (22.3% saved)

regimes146.0ms (1.1%)

Counts

7 → 7

Calls

Call 1

Inputs
(*.f64 y 4)
(*.f64 x -3)
(.f64 6 (.f64 z x))
(.f64 (.f64 6 z) x)
(.f64 y (.f64 z -6))
(.f64 6 (.f64 y 2/3))
(.f64 -6 (.f64 z y))

Outputs
(.f64 y (.f64 z -6))
(.f64 (.f64 6 z) x)
(*.f64 y 4)
(*.f64 x -3)
(*.f64 y 4)
(*.f64 x -3)
(.f64 6 (.f64 z x))

Calls

3 calls:

88.0ms	z
35.0ms	y
19.0ms	x

Results

Error	Segments	Branch
29.1b	3	`x`
31.7b	3	`y`
27.1b	7	`z`

Compiler

Compiled 46 to 32 computations (30.4% saved)

bsearch210.0ms (1.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
39.0ms	3.1713488635460527e-16	7.350684292100974e-14
44.0ms	1.0640712581888335e-141	4.7587485395429565e-141
43.0ms	4.216083883107624e-211	7.745222583685735e-211
26.0ms	-6.980857731895762e-304	1.136853594440161e-307
24.0ms	-2.4203105798509114e-6	-7.444965926460898e-8
34.0ms	-1.9024863765667563e+173	-3.19039645395074e+168

Compiler

Compiled 166 to 129 computations (22.3% saved)

regimes121.0ms (0.9%)

Accuracy

Total -33.5b remaining (-115.1%)

Threshold costs -33.5b (-115.1%)

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 y 4)
(*.f64 x -3)
(.f64 6 (.f64 z x))
(.f64 (.f64 6 z) x)

Outputs
(*.f64 x -3)
(*.f64 y 4)
(*.f64 x -3)

Calls

3 calls:

55.0ms	z
33.0ms	y
30.0ms	x

Results

Error	Segments	Branch
29.1b	3	`x`
31.7b	3	`y`
29.5b	6	`z`

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch523.0ms (3.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
168.0ms	2.7011118584103607e-50	2.7616467962511707e-47
355.0ms	-1.3067025208398997e+112	-9.659705080200141e+104

Compiler

Compiled 148 to 125 computations (15.5% saved)

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
8×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	338
1	107	338
2	115	338
3	119	338
4	121	338

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(if (<=.f64 z -2399151031267385/70368744177664) (.f64 z (.f64 -6 (-.f64 y x))) (if (<=.f64 z 7236030409199107/618970019642690137449562112) (+.f64 (.f64 y 4) (.f64 x -3)) (.f64 z (.f64 -6 (-.f64 y x)))))
(if (<=.f64 z -190000000000000005413364452654187877379438063715802645486051201652862642400220589079767126521837225853787199215760215612685204182632308625607053966847058735491456467243892736) (.f64 z (.f64 -6 y)) (if (<=.f64 z -2399151031267385/70368744177664) (.f64 (.f64 6 z) x) (if (<=.f64 z 7236030409199107/618970019642690137449562112) (+.f64 (.f64 y 4) (.f64 x -3)) (.f64 6 (.f64 z x)))))
(if (<=.f64 z -190000000000000005413364452654187877379438063715802645486051201652862642400220589079767126521837225853787199215760215612685204182632308625607053966847058735491456467243892736) (.f64 z (.f64 -6 y)) (if (<=.f64 z -2857398390105685/1180591620717411303424) (.f64 (.f64 6 z) x) (if (<=.f64 z -4311954757548413/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (.f64 y 4) (if (<=.f64 z 4993855672593699/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (.f64 x -3) (if (<=.f64 z 3652316941713469/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (.f64 y 4) (if (<=.f64 z 6309239759807773/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (.f64 x -3) (if (<=.f64 z 3579671091655701/85070591730234615865843651857942052864) (.f64 y 4) (if (<=.f64 z 142311259788614932889600) (.f64 z (.f64 -6 y)) (.f64 6 (*.f64 z x))))))))))
(if (<=.f64 z -190000000000000005413364452654187877379438063715802645486051201652862642400220589079767126521837225853787199215760215612685204182632308625607053966847058735491456467243892736) (.f64 y (.f64 z -6)) (if (<=.f64 z -2857398390105685/1180591620717411303424) (.f64 (.f64 6 z) x) (if (<=.f64 z -4311954757548413/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (.f64 y 4) (if (<=.f64 z 4993855672593699/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (.f64 x -3) (if (<=.f64 z 3652316941713469/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (.f64 y 4) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) (.f64 x -3) (.f64 6 (.f64 z x))))))))
(if (<=.f64 x -979999999999999970048674453793630263547172143323354404500553793277137821530214459679803613403880682946560) (.f64 x -3) (if (<=.f64 x 5689205597246209/210624583337114373395836055367340864637790190801098222508621955072) (.f64 y 4) (*.f64 x -3)))
(*.f64 y 4)

Outputs
(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 (-.f64 y x) 4) (+.f64 x (.f64 -6 (*.f64 (-.f64 y x) z))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(if (<=.f64 z -2399151031267385/70368744177664) (.f64 z (.f64 -6 (-.f64 y x))) (if (<=.f64 z 7236030409199107/618970019642690137449562112) (+.f64 (.f64 y 4) (.f64 x -3)) (.f64 z (.f64 -6 (-.f64 y x)))))
(if (<=.f64 z -2399151031267385/70368744177664) (.f64 z (.f64 (-.f64 y x) -6)) (if (<=.f64 z 7236030409199107/618970019642690137449562112) (+.f64 (.f64 y 4) (.f64 x -3)) (.f64 z (.f64 (-.f64 y x) -6))))
(if (<=.f64 z -190000000000000005413364452654187877379438063715802645486051201652862642400220589079767126521837225853787199215760215612685204182632308625607053966847058735491456467243892736) (.f64 z (.f64 -6 y)) (if (<=.f64 z -2399151031267385/70368744177664) (.f64 (.f64 6 z) x) (if (<=.f64 z 7236030409199107/618970019642690137449562112) (+.f64 (.f64 y 4) (.f64 x -3)) (.f64 6 (.f64 z x)))))
(if (<=.f64 z -190000000000000005413364452654187877379438063715802645486051201652862642400220589079767126521837225853787199215760215612685204182632308625607053966847058735491456467243892736) (.f64 z (.f64 y -6)) (if (<=.f64 z -2399151031267385/70368744177664) (.f64 x (.f64 z 6)) (if (<=.f64 z 7236030409199107/618970019642690137449562112) (+.f64 (.f64 y 4) (.f64 x -3)) (.f64 6 (.f64 x z)))))
(if (<=.f64 z -190000000000000005413364452654187877379438063715802645486051201652862642400220589079767126521837225853787199215760215612685204182632308625607053966847058735491456467243892736) (.f64 z (.f64 -6 y)) (if (<=.f64 z -2857398390105685/1180591620717411303424) (.f64 (.f64 6 z) x) (if (<=.f64 z -4311954757548413/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (.f64 y 4) (if (<=.f64 z 4993855672593699/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (.f64 x -3) (if (<=.f64 z 3652316941713469/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (.f64 y 4) (if (<=.f64 z 6309239759807773/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (.f64 x -3) (if (<=.f64 z 3579671091655701/85070591730234615865843651857942052864) (.f64 y 4) (if (<=.f64 z 142311259788614932889600) (.f64 z (.f64 -6 y)) (.f64 6 (*.f64 z x))))))))))
(if (<=.f64 z -190000000000000005413364452654187877379438063715802645486051201652862642400220589079767126521837225853787199215760215612685204182632308625607053966847058735491456467243892736) (.f64 z (.f64 y -6)) (if (<=.f64 z -2857398390105685/1180591620717411303424) (.f64 x (.f64 z 6)) (if (<=.f64 z -4311954757548413/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (.f64 y 4) (if (<=.f64 z 4993855672593699/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (.f64 x -3) (if (<=.f64 z 3652316941713469/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (.f64 y 4) (if (<=.f64 z 6309239759807773/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176) (.f64 x -3) (if (<=.f64 z 3579671091655701/85070591730234615865843651857942052864) (.f64 y 4) (if (<=.f64 z 142311259788614932889600) (.f64 z (.f64 y -6)) (.f64 6 (*.f64 x z))))))))))
(if (<=.f64 z -190000000000000005413364452654187877379438063715802645486051201652862642400220589079767126521837225853787199215760215612685204182632308625607053966847058735491456467243892736) (.f64 y (.f64 z -6)) (if (<=.f64 z -2857398390105685/1180591620717411303424) (.f64 (.f64 6 z) x) (if (<=.f64 z -4311954757548413/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (.f64 y 4) (if (<=.f64 z 4993855672593699/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (.f64 x -3) (if (<=.f64 z 3652316941713469/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (.f64 y 4) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) (.f64 x -3) (.f64 6 (.f64 z x))))))))
(if (<=.f64 z -190000000000000005413364452654187877379438063715802645486051201652862642400220589079767126521837225853787199215760215612685204182632308625607053966847058735491456467243892736) (.f64 y (.f64 z -6)) (if (<=.f64 z -2857398390105685/1180591620717411303424) (.f64 x (.f64 z 6)) (if (<=.f64 z -4311954757548413/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (.f64 y 4) (if (<=.f64 z 4993855672593699/11844773043065711480323635013294239465766037117894719018089691452225120183459296312949206610325977157215024800850914559983608856537741198665193842125253152001987113769690322155382272992184436377145866387891513586051123404341248) (.f64 x -3) (if (<=.f64 z 3652316941713469/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576) (.f64 y 4) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) (.f64 x -3) (.f64 6 (.f64 x z))))))))
(if (<=.f64 x -979999999999999970048674453793630263547172143323354404500553793277137821530214459679803613403880682946560) (.f64 x -3) (if (<=.f64 x 5689205597246209/210624583337114373395836055367340864637790190801098222508621955072) (.f64 y 4) (*.f64 x -3)))
(*.f64 y 4)

Compiler

Compiled 263 to 183 computations (30.4% saved)

soundness786.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

5304×	`fma-neg_binary64`
682×	`unsub-neg_binary64`
376×	`fma-def_binary64`
347×	`sub-neg_binary64`
287×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	23	14
2	60	14
3	202	12
4	634	12
5	1996	12
6	4017	12
7	5835	12
8	6518	12
9	6786	12
10	6850	12
11	6869	12
12	6873	12
13	6873	12
14	6873	12
15	7155	12
16	7206	12
17	7206	12

Stop Event

1×	node limit

Compiler

Compiled 245 to 185 computations (24.5% saved)

end188.0ms (1.4%)

Compiler: Compiled 239 to 154 computations (35.6% saved)