Details

analyze330.0ms (2.2%)

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)

sample1.9s (13.1%)

Results

1.5s	7769×	body	256	valid
170.0ms	1304×	body	256	infinite
122.0ms	245×	body	1024	valid
48.0ms	242×	body	512	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)

simplify319.0ms (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)

prune3.0ms (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
▶	0.2b	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
▶	0.3b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 31 computations (36.7% saved)

series23.0ms (0.2%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z))
2.0ms	z	@	inf	(.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z))
1.0ms	z	@	-inf	(+.f64 x (.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	@	0	(.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z))

rewrite120.0ms (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 (-.f64 y x) 6)
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(-.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 0 (.f64 (-.f64 y x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y 6) (.f64 (neg.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 6 y) (.f64 6 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (-.f64 y x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (-.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 y x) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) 6) (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)) 6) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 6 (-.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 6 (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 y x) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 y x) 6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 y x) 6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (-.f64 y x) 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 36 (pow.f64 (-.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 y x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (-.f64 y x) 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (-.f64 y x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (-.f64 y x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (-.f64 y x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (-.f64 y x) 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 6 (.f64 (neg.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 6 y (.f64 6 (neg.f64 x)))))))
((#(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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((#(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) 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 (cbrt.f64 (.f64 z z)) (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 (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) 2/3)))))

simplify418.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	1556
1	102	1496
2	249	1211
3	845	983
4	2149	965
5	4416	965
6	5504	965
7	6222	965
8	6608	965
9	6724	965
10	6794	965
11	6804	965
12	6804	965
13	6804	965
14	6804	965
15	7356	965
16	7356	965
17	7356	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 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))
(.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))
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) (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 (*.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) (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 (*.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) (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 (.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) (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 (*.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) (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 (*.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) (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 (.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) (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 (*.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) (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 (*.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) (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 (.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) (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 (*.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) (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 (*.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) (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 (*.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) (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 (*.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) (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 (*.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) (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 (*.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) (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 (*.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) (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 (*.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) (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 (*.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) (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 (*.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) (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 (*.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) (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 (*.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) (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 (*.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) (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 (*.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) (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 (*.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) (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 (*.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) (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 (*.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) (fma.f64 -6 x (.f64 6 y)))
(*.f64 (-.f64 y x) (fma.f64 -6 z 4))
(*.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))
(.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 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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (.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 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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (.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 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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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))
(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 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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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 (*.f64 6 y) (-.f64 2/3 z)))
(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)
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
✓	0.1b	(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)

series12.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
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)

rewrite65.0ms (0.4%)

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))))))

simplify198.0ms (1.3%)

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)

eval144.0ms (1%)

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

prune164.0ms (1.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	272	14	286
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	274	14	288

Error

Counts

288 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.6b	(+.f64 x (/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z)))
	23.7b	(fma.f64 x -3 (*.f64 y 4))
▶	39.1b	(.f64 -6 (.f64 z (-.f64 y x)))
	31.4b	(fma.f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (.f64 6 (-.f64 2/3 z))) x)
▶	1.4b	(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)) 3)
	33.4b	(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
▶	33.4b	(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
	1.5b	(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (.f64 (cbrt.f64 (-.f64 y x)) (.f64 6 (-.f64 2/3 z))) x)
	39.5b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
▶	0.2b	(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
	14.0b	(fma.f64 (-.f64 y x) (expm1.f64 (log1p.f64 (fma.f64 z -6 4))) x)
	23.7b	(+.f64 (*.f64 4 (-.f64 y x)) x)
	30.1b	(.f64 (+.f64 4 (.f64 -6 z)) y)
	0.4b	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)

Compiler

Compiled 398 to 286 computations (28.1% saved)

localize45.0ms (0.3%)

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)

series15.0ms (0.1%)

Counts

4 → 48

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(.f64 6 (.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	z	@	inf	(.f64 6 (.f64 y (-.f64 2/3 z)))
1.0ms	z	@	0	(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)

rewrite123.0ms (0.8%)

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)))))

simplify171.0ms (1.2%)

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)

localize15.0ms (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)

series21.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(.f64 -6 (.f64 z (-.f64 y x)))
2.0ms	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	y	@	inf	(.f64 -6 (.f64 z (-.f64 y x)))

rewrite127.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

919×	`pow1_binary64`
855×	`add-log-exp_binary64`
855×	`log1p-expm1-u_binary64`
855×	`expm1-log1p-u_binary64`
838×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	17
2	2268	17

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

606×	`fma-def_binary64`
299×	`fma-neg_binary64`
98×	`distribute-rgt-in_binary64`
89×	`associate-l_binary64`
78×	`associate-r_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	16	534
1	35	534
2	72	516
3	113	480
4	150	480
5	228	480
6	391	480
7	577	462
8	980	462
9	1543	462
10	1856	462
11	1910	462
12	1911	462
13	1911	462

Stop Event

1×

saturated

Counts

94 → 47

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 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)))

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

localize25.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 24 computations (25% saved)

series7.0ms (0%)

Counts

2 → 15

Calls

9 calls:

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

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`pow1_binary64`
789×	`add-log-exp_binary64`
789×	`log1p-expm1-u_binary64`
789×	`expm1-log1p-u_binary64`
776×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	170	13
2	2075	13

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

simplify12.0ms (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

68 → 60

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)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 y x) 6)
✓	0.0b	(+.f64 x (/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z)))
✓	1.5b	(.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6))
✓	8.7b	(/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z))

Compiler

Compiled 71 to 36 computations (49.3% saved)

series18.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z))
1.0ms	z	@	inf	(/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z))

rewrite96.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

520×	`fma-def_binary64`
317×	`expm1-udef_binary64`
317×	`log1p-udef_binary64`
293×	`fma-neg_binary64`
248×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	63
1	352	45
2	5197	43

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs

(/.f64 (*.f64 (-.f64 4/9 (*.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z))

(*.f64 (-.f64 4/9 (*.f64 z z)) (*.f64 (-.f64 y x) 6))

(+.f64 x (/.f64 (*.f64 (-.f64 4/9 (*.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z)))

Outputs

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

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

597×	`fma-neg_binary64`
508×	`distribute-rgt-in_binary64`
470×	`distribute-lft-in_binary64`
433×	`*-commutative_binary64`
348×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	87	2896
1	246	2806
2	710	2506
3	3081	1904
4	7253	1868

Stop Event

1×	node limit

Counts

253 → 195

Calls

Call 1

Inputs
(*.f64 4 (-.f64 y x))
(+.f64 (.f64 6 (.f64 z (-.f64 x y))) (*.f64 4 (-.f64 y x)))
(+.f64 (.f64 6 (.f64 z (-.f64 x y))) (+.f64 (.f64 4 (-.f64 y x)) (.f64 6 (.f64 (pow.f64 z 2) (-.f64 (.f64 -3/2 (-.f64 y x)) (*.f64 3/2 (-.f64 x y)))))))
(+.f64 (.f64 6 (.f64 z (-.f64 x y))) (+.f64 (.f64 -9 (.f64 (pow.f64 z 3) (-.f64 (.f64 -3/2 (-.f64 y x)) (.f64 3/2 (-.f64 x y))))) (+.f64 (.f64 4 (-.f64 y x)) (.f64 6 (.f64 (pow.f64 z 2) (-.f64 (.f64 -3/2 (-.f64 y x)) (*.f64 3/2 (-.f64 x y))))))))
(.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 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (.f64 y (-.f64 (*.f64 4/9 (/.f64 1 (+.f64 2/3 z))) (/.f64 (pow.f64 z 2) (+.f64 2/3 z))))))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (.f64 y (-.f64 (*.f64 4/9 (/.f64 1 (+.f64 2/3 z))) (/.f64 (pow.f64 z 2) (+.f64 2/3 z))))))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (.f64 y (-.f64 (*.f64 4/9 (/.f64 1 (+.f64 2/3 z))) (/.f64 (pow.f64 z 2) (+.f64 2/3 z))))))
(.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(*.f64 8/3 (-.f64 y x))
(+.f64 (.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x))) (*.f64 8/3 (-.f64 y x)))
(+.f64 (.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x))) (*.f64 8/3 (-.f64 y x)))
(+.f64 (.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x))) (*.f64 8/3 (-.f64 y x)))
(.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x)))
(+.f64 (.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x))) (*.f64 8/3 (-.f64 y x)))
(+.f64 (.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x))) (*.f64 8/3 (-.f64 y x)))
(+.f64 (.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x))) (*.f64 8/3 (-.f64 y x)))
(.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x)))
(+.f64 (.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x))) (*.f64 8/3 (-.f64 y x)))
(+.f64 (.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x))) (*.f64 8/3 (-.f64 y x)))
(+.f64 (.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x))) (*.f64 8/3 (-.f64 y x)))
(.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x))
(+.f64 (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))) (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)))
(+.f64 (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))) (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)))
(+.f64 (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))) (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)))
(.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2))))
(+.f64 (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)) (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))))
(+.f64 (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)) (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))))
(+.f64 (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)) (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))))
(.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2))))
(+.f64 (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)) (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))))
(+.f64 (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)) (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))))
(+.f64 (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)) (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))))
(.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2))))
(+.f64 (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)) (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))))
(+.f64 (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)) (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))))
(+.f64 (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)) (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))))
(.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x))
(+.f64 (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))) (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)))
(+.f64 (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))) (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)))
(+.f64 (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))) (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)))
(.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x))
(+.f64 (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))) (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)))
(+.f64 (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))) (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)))
(+.f64 (.f64 6 (.f64 y (-.f64 4/9 (pow.f64 z 2)))) (.f64 -6 (.f64 (-.f64 4/9 (pow.f64 z 2)) x)))
(.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z)))
(+.f64 (.f64 (+.f64 (.f64 -6 (/.f64 (-.f64 4/9 (pow.f64 z 2)) (+.f64 2/3 z))) 1) x) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (.f64 (+.f64 (.f64 -6 (/.f64 (-.f64 4/9 (pow.f64 z 2)) (+.f64 2/3 z))) 1) x) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (.f64 (+.f64 (.f64 -6 (/.f64 (-.f64 4/9 (pow.f64 z 2)) (+.f64 2/3 z))) 1) x) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(.f64 (+.f64 (.f64 -6 (/.f64 (-.f64 4/9 (pow.f64 z 2)) (+.f64 2/3 z))) 1) x)
(+.f64 (.f64 (+.f64 (.f64 -6 (/.f64 (-.f64 4/9 (pow.f64 z 2)) (+.f64 2/3 z))) 1) x) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (.f64 (+.f64 (.f64 -6 (/.f64 (-.f64 4/9 (pow.f64 z 2)) (+.f64 2/3 z))) 1) x) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (.f64 (+.f64 (.f64 -6 (/.f64 (-.f64 4/9 (pow.f64 z 2)) (+.f64 2/3 z))) 1) x) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(.f64 -1 (.f64 (-.f64 (*.f64 6 (/.f64 (-.f64 4/9 (pow.f64 z 2)) (+.f64 2/3 z))) 1) x))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 6 (/.f64 (-.f64 4/9 (pow.f64 z 2)) (+.f64 2/3 z))) 1) x)) (.f64 6 (/.f64 (*.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 6 (/.f64 (-.f64 4/9 (pow.f64 z 2)) (+.f64 2/3 z))) 1) x)) (.f64 6 (/.f64 (*.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 6 (/.f64 (-.f64 4/9 (pow.f64 z 2)) (+.f64 2/3 z))) 1) x)) (.f64 6 (/.f64 (*.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(+.f64 (.f64 6 (.f64 z (-.f64 x y))) (+.f64 (*.f64 4 (-.f64 y x)) x))
(+.f64 (.f64 6 (.f64 z (-.f64 x y))) (+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 6 (.f64 (pow.f64 z 2) (-.f64 (.f64 -3/2 (-.f64 y x)) (*.f64 3/2 (-.f64 x y))))) x)))
(+.f64 (.f64 6 (.f64 z (-.f64 x y))) (+.f64 (.f64 -9 (.f64 (pow.f64 z 3) (-.f64 (.f64 -3/2 (-.f64 y x)) (.f64 3/2 (-.f64 x y))))) (+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 6 (.f64 (pow.f64 z 2) (-.f64 (.f64 -3/2 (-.f64 y x)) (*.f64 3/2 (-.f64 x y))))) 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 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (.f64 y (-.f64 (*.f64 4/9 (/.f64 1 (+.f64 2/3 z))) (/.f64 (pow.f64 z 2) (+.f64 2/3 z))))) x))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (.f64 y (-.f64 (*.f64 4/9 (/.f64 1 (+.f64 2/3 z))) (/.f64 (pow.f64 z 2) (+.f64 2/3 z))))) x))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (.f64 y (-.f64 (*.f64 4/9 (/.f64 1 (+.f64 2/3 z))) (/.f64 (pow.f64 z 2) (+.f64 2/3 z))))) x))
(.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))) x))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))) x))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))) x))
(.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))) x))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))) x))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))) x))

Outputs
(*.f64 4 (-.f64 y x))
(+.f64 (.f64 6 (.f64 z (-.f64 x y))) (*.f64 4 (-.f64 y x)))
(fma.f64 6 (.f64 z (-.f64 x y)) (.f64 4 (-.f64 y x)))
(fma.f64 4 (-.f64 y x) (.f64 6 (.f64 z (-.f64 x y))))
(fma.f64 4 (-.f64 y x) (.f64 (-.f64 x y) (.f64 6 z)))
(+.f64 (.f64 6 (.f64 z (-.f64 x y))) (+.f64 (.f64 4 (-.f64 y x)) (.f64 6 (.f64 (pow.f64 z 2) (-.f64 (.f64 -3/2 (-.f64 y x)) (*.f64 3/2 (-.f64 x y)))))))
(fma.f64 6 (.f64 z (-.f64 x y)) (fma.f64 4 (-.f64 y x) (.f64 (.f64 6 (.f64 z z)) (+.f64 (.f64 (-.f64 y x) -3/2) (.f64 -3/2 (-.f64 x y))))))
(fma.f64 6 (.f64 z (-.f64 x y)) (fma.f64 4 (-.f64 y x) (.f64 6 (.f64 (.f64 z z) (*.f64 -3/2 (+.f64 (-.f64 y x) (-.f64 x y)))))))
(fma.f64 4 (-.f64 y x) (fma.f64 6 (.f64 z (-.f64 x y)) (.f64 (.f64 z z) (.f64 -9 (+.f64 (-.f64 y x) (-.f64 x y))))))
(fma.f64 4 (-.f64 y x) (.f64 6 (.f64 z (+.f64 (-.f64 x y) (*.f64 z 0)))))
(+.f64 (.f64 6 (.f64 z (-.f64 x y))) (+.f64 (.f64 -9 (.f64 (pow.f64 z 3) (-.f64 (.f64 -3/2 (-.f64 y x)) (.f64 3/2 (-.f64 x y))))) (+.f64 (.f64 4 (-.f64 y x)) (.f64 6 (.f64 (pow.f64 z 2) (-.f64 (.f64 -3/2 (-.f64 y x)) (*.f64 3/2 (-.f64 x y))))))))
(fma.f64 6 (.f64 z (-.f64 x y)) (fma.f64 -9 (.f64 (+.f64 (.f64 (-.f64 y x) -3/2) (.f64 -3/2 (-.f64 x y))) (pow.f64 z 3)) (fma.f64 4 (-.f64 y x) (.f64 (.f64 6 (.f64 z z)) (+.f64 (.f64 (-.f64 y x) -3/2) (*.f64 -3/2 (-.f64 x y)))))))
(fma.f64 6 (.f64 z (-.f64 x y)) (fma.f64 -9 (.f64 (.f64 -3/2 (+.f64 (-.f64 y x) (-.f64 x y))) (pow.f64 z 3)) (fma.f64 4 (-.f64 y x) (.f64 6 (.f64 (.f64 z z) (*.f64 -3/2 (+.f64 (-.f64 y x) (-.f64 x y))))))))
(fma.f64 6 (.f64 z (-.f64 x y)) (fma.f64 4 (-.f64 y x) (.f64 (.f64 -3/2 (+.f64 (-.f64 y x) (-.f64 x y))) (+.f64 (.f64 6 (.f64 z z)) (.f64 -9 (pow.f64 z 3))))))
(fma.f64 6 (.f64 z (-.f64 x y)) (fma.f64 4 (-.f64 y x) (.f64 (.f64 z z) (+.f64 0 (.f64 z 0)))))
(.f64 -6 (.f64 z (-.f64 y x)))
(.f64 (.f64 -6 z) (-.f64 y x))
(.f64 (-.f64 y x) (.f64 z -6))
(+.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 y x) (fma.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 y x) (fma.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 y x) (fma.f64 z -6 4))
(.f64 -6 (.f64 z (-.f64 y x)))
(.f64 (.f64 -6 z) (-.f64 y x))
(.f64 (-.f64 y x) (.f64 z -6))
(+.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 y x) (fma.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 y x) (fma.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 y x) (fma.f64 z -6 4))
(.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z)))
(/.f64 (.f64 (.f64 -6 (-.f64 4/9 (*.f64 z z))) x) (+.f64 z 2/3))
(/.f64 (.f64 x (-.f64 4/9 (.f64 z z))) (/.f64 (+.f64 z 2/3) -6))
(.f64 -6 (.f64 (/.f64 x (+.f64 z 2/3)) (-.f64 4/9 (*.f64 z z))))
(/.f64 (*.f64 x -6) (/.f64 (+.f64 z 2/3) (neg.f64 (fma.f64 z z -4/9))))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (.f64 y (-.f64 (*.f64 4/9 (/.f64 1 (+.f64 2/3 z))) (/.f64 (pow.f64 z 2) (+.f64 2/3 z))))))
(fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (/.f64 (+.f64 z 2/3) x)) (.f64 (.f64 6 y) (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3))))
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(fma.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (.f64 -6 (.f64 (/.f64 x (+.f64 z 2/3)) (-.f64 4/9 (.f64 z z)))))
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(fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (/.f64 (+.f64 z 2/3) x)) (.f64 (.f64 6 y) (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3))))
(fma.f64 6 (/.f64 (-.f64 4/9 (.f64 z z)) (/.f64 (+.f64 z 2/3) y)) (/.f64 (.f64 x (-.f64 4/9 (*.f64 z z))) (/.f64 (+.f64 z 2/3) -6)))
(fma.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (.f64 -6 (.f64 (/.f64 x (+.f64 z 2/3)) (-.f64 4/9 (.f64 z z)))))
(.f64 (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x))
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(fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (/.f64 (+.f64 z 2/3) x)) (.f64 (.f64 6 y) (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3))))
(fma.f64 6 (/.f64 (-.f64 4/9 (.f64 z z)) (/.f64 (+.f64 z 2/3) y)) (/.f64 (.f64 x (-.f64 4/9 (*.f64 z z))) (/.f64 (+.f64 z 2/3) -6)))
(fma.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (.f64 -6 (.f64 (/.f64 x (+.f64 z 2/3)) (-.f64 4/9 (.f64 z z)))))
(.f64 (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x))
(.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z)))
(.f64 6 (/.f64 y (/.f64 (+.f64 z 2/3) (-.f64 4/9 (.f64 z z)))))
(.f64 y (/.f64 6 (/.f64 (+.f64 z 2/3) (-.f64 4/9 (.f64 z z)))))
(.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)))
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(fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (/.f64 (+.f64 z 2/3) x)) (.f64 (.f64 6 y) (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3))))
(fma.f64 6 (/.f64 (-.f64 4/9 (.f64 z z)) (/.f64 (+.f64 z 2/3) y)) (/.f64 (.f64 x (-.f64 4/9 (*.f64 z z))) (/.f64 (+.f64 z 2/3) -6)))
(fma.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (.f64 -6 (.f64 (/.f64 x (+.f64 z 2/3)) (-.f64 4/9 (.f64 z z)))))
(.f64 (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (/.f64 (+.f64 z 2/3) x)) (.f64 (.f64 6 y) (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3))))
(fma.f64 6 (/.f64 (-.f64 4/9 (.f64 z z)) (/.f64 (+.f64 z 2/3) y)) (/.f64 (.f64 x (-.f64 4/9 (*.f64 z z))) (/.f64 (+.f64 z 2/3) -6)))
(fma.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (.f64 -6 (.f64 (/.f64 x (+.f64 z 2/3)) (-.f64 4/9 (.f64 z z)))))
(.f64 (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (/.f64 (+.f64 z 2/3) x)) (.f64 (.f64 6 y) (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3))))
(fma.f64 6 (/.f64 (-.f64 4/9 (.f64 z z)) (/.f64 (+.f64 z 2/3) y)) (/.f64 (.f64 x (-.f64 4/9 (*.f64 z z))) (/.f64 (+.f64 z 2/3) -6)))
(fma.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (.f64 -6 (.f64 (/.f64 x (+.f64 z 2/3)) (-.f64 4/9 (.f64 z z)))))
(.f64 (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x))
(.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z)))
(.f64 6 (/.f64 y (/.f64 (+.f64 z 2/3) (-.f64 4/9 (.f64 z z)))))
(.f64 y (/.f64 6 (/.f64 (+.f64 z 2/3) (-.f64 4/9 (.f64 z z)))))
(.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
(fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (/.f64 (+.f64 z 2/3) x)) (.f64 (.f64 6 y) (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3))))
(fma.f64 6 (/.f64 (-.f64 4/9 (.f64 z z)) (/.f64 (+.f64 z 2/3) y)) (/.f64 (.f64 x (-.f64 4/9 (*.f64 z z))) (/.f64 (+.f64 z 2/3) -6)))
(fma.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (.f64 -6 (.f64 (/.f64 x (+.f64 z 2/3)) (-.f64 4/9 (.f64 z z)))))
(.f64 (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))))
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(fma.f64 4 (-.f64 y x) (fma.f64 -6 (*.f64 (-.f64 y x) z) x))
(+.f64 x (.f64 (-.f64 y x) (+.f64 (.f64 z -6) 4)))
(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))
(fma.f64 4 (-.f64 y x) (fma.f64 -6 (*.f64 (-.f64 y x) z) x))
(+.f64 x (.f64 (-.f64 y x) (+.f64 (.f64 z -6) 4)))
(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))
(fma.f64 4 (-.f64 y x) (fma.f64 -6 (*.f64 (-.f64 y x) z) x))
(+.f64 x (.f64 (-.f64 y x) (+.f64 (.f64 z -6) 4)))
(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
(.f64 -6 (.f64 z (-.f64 y x)))
(.f64 (.f64 -6 z) (-.f64 y x))
(.f64 (-.f64 y x) (.f64 z -6))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 4 (-.f64 y x) (fma.f64 -6 (*.f64 (-.f64 y x) z) x))
(+.f64 x (.f64 (-.f64 y x) (+.f64 (.f64 z -6) 4)))
(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))
(fma.f64 4 (-.f64 y x) (fma.f64 -6 (*.f64 (-.f64 y x) z) x))
(+.f64 x (.f64 (-.f64 y x) (+.f64 (.f64 z -6) 4)))
(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))
(fma.f64 4 (-.f64 y x) (fma.f64 -6 (*.f64 (-.f64 y x) z) x))
(+.f64 x (.f64 (-.f64 y x) (+.f64 (.f64 z -6) 4)))
(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) x)
(.f64 x (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1))
(fma.f64 x (.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3))) x)
(-.f64 x (.f64 x (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3))))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (.f64 y (-.f64 (*.f64 4/9 (/.f64 1 (+.f64 2/3 z))) (/.f64 (pow.f64 z 2) (+.f64 2/3 z))))) x))
(fma.f64 (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) x (.f64 6 (/.f64 y (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 x (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) (.f64 y (/.f64 6 (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (fma.f64 x (.f64 -6 (/.f64 (-.f64 4/9 (*.f64 z z)) (+.f64 z 2/3))) x))
(+.f64 x (.f64 (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x)))
(fma.f64 (/.f64 (fma.f64 (*.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x) x)
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (.f64 y (-.f64 (*.f64 4/9 (/.f64 1 (+.f64 2/3 z))) (/.f64 (pow.f64 z 2) (+.f64 2/3 z))))) x))
(fma.f64 (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) x (.f64 6 (/.f64 y (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 x (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) (.f64 y (/.f64 6 (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (fma.f64 x (.f64 -6 (/.f64 (-.f64 4/9 (*.f64 z z)) (+.f64 z 2/3))) x))
(+.f64 x (.f64 (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x)))
(fma.f64 (/.f64 (fma.f64 (*.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x) x)
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (.f64 y (-.f64 (*.f64 4/9 (/.f64 1 (+.f64 2/3 z))) (/.f64 (pow.f64 z 2) (+.f64 2/3 z))))) x))
(fma.f64 (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) x (.f64 6 (/.f64 y (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 x (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) (.f64 y (/.f64 6 (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (fma.f64 x (.f64 -6 (/.f64 (-.f64 4/9 (*.f64 z z)) (+.f64 z 2/3))) x))
(+.f64 x (.f64 (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x)))
(fma.f64 (/.f64 (fma.f64 (*.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x) x)
(.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z)))
(.f64 6 (/.f64 y (/.f64 (+.f64 z 2/3) (-.f64 4/9 (.f64 z z)))))
(.f64 y (/.f64 6 (/.f64 (+.f64 z 2/3) (-.f64 4/9 (.f64 z z)))))
(.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))) x))
(fma.f64 (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) x (.f64 6 (/.f64 y (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 x (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) (.f64 y (/.f64 6 (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (fma.f64 x (.f64 -6 (/.f64 (-.f64 4/9 (*.f64 z z)) (+.f64 z 2/3))) x))
(+.f64 x (.f64 (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x)))
(fma.f64 (/.f64 (fma.f64 (*.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x) x)
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))) x))
(fma.f64 (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) x (.f64 6 (/.f64 y (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 x (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) (.f64 y (/.f64 6 (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (fma.f64 x (.f64 -6 (/.f64 (-.f64 4/9 (*.f64 z z)) (+.f64 z 2/3))) x))
(+.f64 x (.f64 (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x)))
(fma.f64 (/.f64 (fma.f64 (*.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x) x)
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))) x))
(fma.f64 (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) x (.f64 6 (/.f64 y (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 x (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) (.f64 y (/.f64 6 (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (fma.f64 x (.f64 -6 (/.f64 (-.f64 4/9 (*.f64 z z)) (+.f64 z 2/3))) x))
(+.f64 x (.f64 (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x)))
(fma.f64 (/.f64 (fma.f64 (*.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x) x)
(.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z)))
(.f64 6 (/.f64 y (/.f64 (+.f64 z 2/3) (-.f64 4/9 (.f64 z z)))))
(.f64 y (/.f64 6 (/.f64 (+.f64 z 2/3) (-.f64 4/9 (.f64 z z)))))
(.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)))
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))) x))
(fma.f64 (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) x (.f64 6 (/.f64 y (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 x (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) (.f64 y (/.f64 6 (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (fma.f64 x (.f64 -6 (/.f64 (-.f64 4/9 (*.f64 z z)) (+.f64 z 2/3))) x))
(+.f64 x (.f64 (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x)))
(fma.f64 (/.f64 (fma.f64 (*.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x) x)
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))) x))
(fma.f64 (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) x (.f64 6 (/.f64 y (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 x (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) (.f64 y (/.f64 6 (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (fma.f64 x (.f64 -6 (/.f64 (-.f64 4/9 (*.f64 z z)) (+.f64 z 2/3))) x))
(+.f64 x (.f64 (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x)))
(fma.f64 (/.f64 (fma.f64 (*.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x) x)
(+.f64 (.f64 -6 (/.f64 (.f64 (-.f64 4/9 (pow.f64 z 2)) x) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 y (-.f64 4/9 (pow.f64 z 2))) (+.f64 2/3 z))) x))
(fma.f64 (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) x (.f64 6 (/.f64 y (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 x (fma.f64 -6 (/.f64 (-.f64 4/9 (.f64 z z)) (+.f64 z 2/3)) 1) (.f64 y (/.f64 6 (/.f64 (+.f64 z 2/3) (-.f64 4/9 (*.f64 z z))))))
(fma.f64 y (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (fma.f64 x (.f64 -6 (/.f64 (-.f64 4/9 (*.f64 z z)) (+.f64 z 2/3))) x))
(+.f64 x (.f64 (/.f64 (fma.f64 (.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x)))
(fma.f64 (/.f64 (fma.f64 (*.f64 z z) -6 8/3) (+.f64 z 2/3)) (-.f64 y x) x)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 y x) 6)
✓	0.3b	(fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)
✓	0.6b	(cbrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x))
✓	0.7b	(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)) 3)

Compiler

Compiled 54 to 30 computations (44.4% saved)

series48.0ms (0.3%)

Counts

3 → 60

Calls

27 calls:

Time	Variable		Point	Expression
15.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)) 3)
8.0ms	y	@	0	(cbrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x))
5.0ms	y	@	0	(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)) 3)
4.0ms	z	@	0	(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)) 3)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)) 3)

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log-prod_binary64`
486×	`prod-diff_binary64`
340×	`pow2_binary64`
253×	`fma-def_binary64`
235×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	290	44
2	3424	44

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)))))))) (#(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 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simplify113.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

542×	`times-frac_binary64`
512×	`associate-r_binary64`
418×	`associate-l_binary64`
351×	`unswap-sqr_binary64`
351×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	4644
1	1181	4384
2	4758	3970

Stop Event

1×	node limit

Counts

167 → 141

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -6 (*.f64 (-.f64 2/3 z) x)) x) (pow.f64 1 1/3))
(+.f64 (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 4) 1) 1/9) (-.f64 2/3 z))) (.f64 4 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 4) 1) 1/9) (-.f64 2/3 z)))) y) (.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) (pow.f64 1 1/3)))
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(.f64 6 (.f64 (pow.f64 1 1/3) (*.f64 y (-.f64 2/3 z))))
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(.f64 (+.f64 (.f64 4 (-.f64 y x)) x) (pow.f64 1 1/3))
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(pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 1/3)
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(.f64 (cbrt.f64 6) (pow.f64 (.f64 1 (*.f64 y (-.f64 2/3 z))) 1/3))
(+.f64 (.f64 (cbrt.f64 6) (pow.f64 (.f64 1 (.f64 y (-.f64 2/3 z))) 1/3)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 6) 2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 y 2) (pow.f64 (-.f64 2/3 z) 2))) 1/9) (.f64 x (+.f64 1 (*.f64 -6 (-.f64 2/3 z))))))))
(+.f64 (.f64 (cbrt.f64 6) (pow.f64 (.f64 1 (.f64 y (-.f64 2/3 z))) 1/3)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 6) 2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 y 2) (pow.f64 (-.f64 2/3 z) 2))) 1/9) (.f64 x (+.f64 1 (.f64 -6 (-.f64 2/3 z))))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 6) 7)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 y 7) (pow.f64 (-.f64 2/3 z) 7))) 1/9) (.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (*.f64 -6 (-.f64 2/3 z))) 2)))))))
(+.f64 (.f64 (cbrt.f64 6) (pow.f64 (.f64 1 (.f64 y (-.f64 2/3 z))) 1/3)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 6) 2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 y 2) (pow.f64 (-.f64 2/3 z) 2))) 1/9) (.f64 x (+.f64 1 (.f64 -6 (-.f64 2/3 z))))))) (+.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) 3) (pow.f64 (cbrt.f64 6) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 2/3 z) 2))) 1/3)))) (.f64 1/27 (.f64 (/.f64 (pow.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) 3) (pow.f64 (cbrt.f64 6) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 2/3 z) 2))) 1/3))))) (pow.f64 (cbrt.f64 6) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 2/3 z) 2))) 1/3))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 6) 7)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 y 7) (pow.f64 (-.f64 2/3 z) 7))) 1/9) (.f64 (pow.f64 x 2) (pow.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) 2))))))))
(pow.f64 (+.f64 (*.f64 4 (-.f64 y x)) x) 1/3)
(+.f64 (.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 2)) 1/9) (.f64 (-.f64 y x) z))) (pow.f64 (+.f64 (*.f64 4 (-.f64 y x)) x) 1/3))
(+.f64 (.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 2)) 1/9) (.f64 (-.f64 y x) z))) (+.f64 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 1/3) (.f64 -4 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 7)) 1/9) (*.f64 (pow.f64 (-.f64 y x) 2) (pow.f64 z 2))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 2)) 1/9) (.f64 (-.f64 y x) z))) (+.f64 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 1/3) (+.f64 (.f64 -4 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 7)) 1/9) (.f64 (pow.f64 (-.f64 y x) 2) (pow.f64 z 2)))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 2)) 1/3) (.f64 (pow.f64 z 3) (+.f64 (.f64 -8 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 2)) 1/3) (pow.f64 (-.f64 y x) 3))) (.f64 48 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 2)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 y x) 3)))))))))))
(+.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 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 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))

Outputs
(.f64 (+.f64 (.f64 -6 (*.f64 (-.f64 2/3 z) x)) x) (pow.f64 1 1/3))
(fma.f64 -6 (*.f64 (-.f64 2/3 z) x) x)
(*.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))
(+.f64 (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 4) 1) 1/9) (-.f64 2/3 z))) (.f64 4 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 4) 1) 1/9) (-.f64 2/3 z)))) y) (.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) (pow.f64 1 1/3)))
(fma.f64 (.f64 (.f64 (-.f64 2/3 z) (.f64 (pow.f64 (pow.f64 (fma.f64 -6 (.f64 (-.f64 2/3 z) x) x) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -6 (.f64 (-.f64 2/3 z) x) x) 4) 1/18))) 6) y (fma.f64 -6 (.f64 (-.f64 2/3 z) x) x))
(fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1)) 4) 1/18) (pow.f64 (pow.f64 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1)) 4) 1/18)) (.f64 (-.f64 2/3 z) 6)) y (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1)))
(+.f64 (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 4) 1) 1/9) (-.f64 2/3 z))) (.f64 4 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 4) 1) 1/9) (-.f64 2/3 z)))) y) (+.f64 (.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 8 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)) 1/9) (pow.f64 (-.f64 2/3 z) 2))) (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 1) 1/3) (+.f64 (.f64 4 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 4)) 1/9) (pow.f64 (-.f64 2/3 z) 2))) (.f64 -8 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 4)) 1/9) (pow.f64 (-.f64 2/3 z) 2))))) (.f64 -4 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -6 (*.f64 (-.f64 2/3 z) x)) x)) 1/9) (pow.f64 (-.f64 2/3 z) 2))))) (pow.f64 y 2))))
(+.f64 (fma.f64 (.f64 (.f64 (-.f64 2/3 z) (.f64 (pow.f64 (pow.f64 (fma.f64 -6 (.f64 (-.f64 2/3 z) x) x) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -6 (.f64 (-.f64 2/3 z) x) x) 4) 1/18))) 6) y (fma.f64 -6 (.f64 (-.f64 2/3 z) x) x)) (.f64 (fma.f64 8 (.f64 (.f64 (pow.f64 (/.f64 1 (fma.f64 -6 (.f64 (-.f64 2/3 z) x) x)) 1/18) (pow.f64 (/.f64 1 (fma.f64 -6 (.f64 (-.f64 2/3 z) x) x)) 1/18)) (pow.f64 (-.f64 2/3 z) 2)) (fma.f64 (cbrt.f64 (fma.f64 -6 (.f64 (-.f64 2/3 z) x) x)) (.f64 (.f64 (pow.f64 (-.f64 2/3 z) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -6 (.f64 (-.f64 2/3 z) x) x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -6 (.f64 (-.f64 2/3 z) x) x) 4)) 1/18))) -4) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (fma.f64 -6 (.f64 (-.f64 2/3 z) x) x)) 1/18) (pow.f64 (/.f64 1 (fma.f64 -6 (.f64 (-.f64 2/3 z) x) x)) 1/18)) (pow.f64 (-.f64 2/3 z) 2)) -4))) (*.f64 y y)))
(fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1)) 4) 1/18) (pow.f64 (pow.f64 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1)) 4) 1/18)) (.f64 (-.f64 2/3 z) 6)) y (fma.f64 (fma.f64 8 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))) 1/18) (pow.f64 (/.f64 1 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))) 1/18)) (pow.f64 (-.f64 2/3 z) 2)) (fma.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))) 1/18) (pow.f64 (/.f64 1 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))) 1/18)) (pow.f64 (-.f64 2/3 z) 2)) -4 (.f64 (cbrt.f64 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1)) 4)) 1/18)) (.f64 (pow.f64 (-.f64 2/3 z) 2) -4))))) (.f64 y y) (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))))
(fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1)) 4) 1/18) (pow.f64 (pow.f64 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1)) 4) 1/18)) (.f64 (-.f64 2/3 z) 6)) y (fma.f64 (+.f64 (.f64 (cbrt.f64 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1)) 4)) 1/18)) (.f64 (pow.f64 (-.f64 2/3 z) 2) -4))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))) 1/18) (pow.f64 (/.f64 1 (.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))) 1/18)) (pow.f64 (-.f64 2/3 z) 2)) 4)) (.f64 y y) (*.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))))
(+.f64 (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 4) 1) 1/9) (-.f64 2/3 z))) (.f64 4 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 4) 1) 1/9) (-.f64 2/3 z)))) y) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 1) 1/3) (+.f64 (.f64 -16 (.f64 (/.f64 (pow.f64 (-.f64 2/3 z) 3) (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)) (pow.f64 1 1/9))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)) 1/3) (+.f64 (.f64 -48 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 2)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 2/3 z) 3)))) (.f64 8 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 2)) 1/3) (pow.f64 (-.f64 2/3 z) 3)))))))) (+.f64 (.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 2)) 1/9) (.f64 (+.f64 (.f64 4 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 4)) 1/9) (pow.f64 (-.f64 2/3 z) 2))) (.f64 -8 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 4)) 1/9) (pow.f64 (-.f64 2/3 z) 2)))) (-.f64 2/3 z)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -48 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 2)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 2/3 z) 3)))) (.f64 8 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 2)) 1/3) (pow.f64 (-.f64 2/3 z) 3)))))) (.f64 -16 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 2)) 1/3) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 2/3 z) 3))))))) (pow.f64 y 3)) (+.f64 (.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 8 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)) 1/9) (pow.f64 (-.f64 2/3 z) 2))) (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 1) 1/3) (+.f64 (.f64 4 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 4)) 1/9) (pow.f64 (-.f64 2/3 z) 2))) (.f64 -8 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x) 4)) 1/9) (pow.f64 (-.f64 2/3 z) 2))))) (.f64 -4 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)) 1/9) (pow.f64 (-.f64 2/3 z) 2))))) (pow.f64 y 2)))))
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(.f64 6 (.f64 (pow.f64 1 1/3) (*.f64 y (-.f64 2/3 z))))
(.f64 6 (.f64 (-.f64 2/3 z) y))
(.f64 (-.f64 2/3 z) (.f64 y 6))
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(fma.f64 (fma.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 6))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (-.f64 2/3 z) y)) 1/18) (pow.f64 (/.f64 1 (.f64 (-.f64 2/3 z) y)) 1/18)) (pow.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) 2))) (fma.f64 (cbrt.f64 (.f64 (-.f64 2/3 z) y)) (.f64 (cbrt.f64 6) (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 6) 4))) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 (-.f64 2/3 z) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 (-.f64 2/3 z) 4)) 1/18))) (pow.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) 2)) -1/9)) (.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 6)))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (-.f64 2/3 z) y)) 1/18) (pow.f64 (/.f64 1 (.f64 (-.f64 2/3 z) y)) 1/18)) (pow.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) 2))))) (.f64 x x) (fma.f64 (fma.f64 (.f64 (cbrt.f64 6) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (-.f64 2/3 z) y))) (/.f64 (+.f64 (.f64 -2/9 (.f64 (/.f64 (pow.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) 3) (pow.f64 (cbrt.f64 6) 2)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 2/3 z) 2) (.f64 y y)))))) (.f64 (.f64 (/.f64 (pow.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) 3) (pow.f64 (cbrt.f64 6) 2)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 2/3 z) 2) (.f64 y y))))) 1/27)) (cbrt.f64 6))) (.f64 -1/81 (/.f64 (pow.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) 3) (.f64 (-.f64 2/3 z) y))))) (cbrt.f64 (.f64 (-.f64 2/3 z) y)) (+.f64 (.f64 -1/3 (+.f64 (.f64 -2/9 (.f64 (/.f64 (pow.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) 3) (pow.f64 (cbrt.f64 6) 2)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 2/3 z) 2) (.f64 y y)))))) (.f64 (.f64 (/.f64 (pow.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) 3) (pow.f64 (cbrt.f64 6) 2)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 2/3 z) 2) (.f64 y y))))) 1/27))) (fma.f64 -2/27 (.f64 (/.f64 (pow.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) 3) (pow.f64 (cbrt.f64 6) 2)) (.f64 1 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 2/3 z) 2) (.f64 y y)))))) (.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 6) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 2/3 z) 2) (.f64 y y))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (-.f64 2/3 z) 2) (.f64 y y))) 1/18))) (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 6) 4))) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 (-.f64 2/3 z) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 y 4)) (pow.f64 (-.f64 2/3 z) 4)) 1/18))) (pow.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) 2)) -1/9))))))) (pow.f64 x 3) (fma.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 6) 4)) (.f64 (.f64 (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 (-.f64 2/3 z) 4)) 1/18) (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 (-.f64 2/3 z) 4)) 1/18)) (+.f64 1 (.f64 -6 (-.f64 2/3 z))))) 1) x (.f64 6 (.f64 (-.f64 2/3 z) y)))))
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(fma.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1/6 (cbrt.f64 6))) (.f64 (.f64 (.f64 (pow.f64 (fma.f64 -6 (-.f64 2/3 z) 1) 2) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 (-.f64 2/3 z) 4))) 1/18)) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 (-.f64 2/3 z) 4))) 1/18)) -1/9)) (.f64 (cbrt.f64 6) (cbrt.f64 (.f64 (-.f64 2/3 z) y)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 6))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (-.f64 2/3 z) y)) 1/18) (pow.f64 (/.f64 1 (.f64 (-.f64 2/3 z) y)) 1/18)) (pow.f64 (fma.f64 -6 (-.f64 2/3 z) 1) 2))) 1/9)) (.f64 x x) (fma.f64 (fma.f64 (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (.f64 (-.f64 2/3 z) y))) (cbrt.f64 6)) (.f64 (.f64 (/.f64 (pow.f64 (fma.f64 -6 (-.f64 2/3 z) 1) 3) (pow.f64 (cbrt.f64 6) 2)) (cbrt.f64 (/.f64 (/.f64 1 (.f64 y y)) (pow.f64 (-.f64 2/3 z) 2)))) -5/27)) (.f64 (pow.f64 (fma.f64 -6 (-.f64 2/3 z) 1) 3) (/.f64 -1/81 (.f64 (-.f64 2/3 z) y)))) (.f64 (cbrt.f64 6) (cbrt.f64 (.f64 (-.f64 2/3 z) y))) (fma.f64 -1/3 (.f64 (.f64 (/.f64 (pow.f64 (fma.f64 -6 (-.f64 2/3 z) 1) 3) (pow.f64 (cbrt.f64 6) 2)) (cbrt.f64 (/.f64 (/.f64 1 (.f64 y y)) (pow.f64 (-.f64 2/3 z) 2)))) -5/27) (fma.f64 1/3 (.f64 (.f64 (fma.f64 -6 (-.f64 2/3 z) 1) (.f64 (cbrt.f64 (/.f64 1/6 (cbrt.f64 6))) (.f64 (.f64 (.f64 (pow.f64 (fma.f64 -6 (-.f64 2/3 z) 1) 2) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 (-.f64 2/3 z) 4))) 1/18)) (pow.f64 (/.f64 1 (.f64 (pow.f64 y 4) (pow.f64 (-.f64 2/3 z) 4))) 1/18)) -1/9))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 6) 2))) (.f64 (pow.f64 (/.f64 (/.f64 1 (.f64 y y)) (pow.f64 (-.f64 2/3 z) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (.f64 y y)) (pow.f64 (-.f64 2/3 z) 2)) 1/18)))) (.f64 (/.f64 (pow.f64 (fma.f64 -6 (-.f64 2/3 z) 1) 3) (pow.f64 (cbrt.f64 6) 2)) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 y y)) (pow.f64 (-.f64 2/3 z) 2))) -2/27))))) (pow.f64 x 3) (fma.f64 x (.f64 (cbrt.f64 (.f64 6 (cbrt.f64 6))) (.f64 (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 (-.f64 2/3 z) 4)) 1/18) (.f64 (pow.f64 (.f64 (pow.f64 y 4) (pow.f64 (-.f64 2/3 z) 4)) 1/18) (fma.f64 -6 (-.f64 2/3 z) 1)))) (.f64 (-.f64 2/3 z) (*.f64 y 6)))))
(.f64 (+.f64 (.f64 4 (-.f64 y x)) x) (pow.f64 1 1/3))
(fma.f64 4 (-.f64 y x) x)
(+.f64 (.f64 (+.f64 (.f64 4 (-.f64 y x)) x) (pow.f64 1 1/3)) (.f64 z (+.f64 (.f64 -2 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 4) 1) 1/9) (-.f64 y x))) (.f64 -4 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (*.f64 4 (-.f64 y x)) x) 4) 1) 1/9) (-.f64 y x))))))
(+.f64 (fma.f64 4 (-.f64 y x) x) (.f64 z (.f64 (.f64 (-.f64 y x) (.f64 (pow.f64 (pow.f64 (fma.f64 4 (-.f64 y x) x) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 4 (-.f64 y x) x) 4) 1/18))) -6)))
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(cbrt.f64 (fma.f64 -6 (*.f64 (-.f64 2/3 z) x) x))
(cbrt.f64 (*.f64 x (fma.f64 -6 (-.f64 2/3 z) 1)))
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(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) (+.f64 (.f64 x -6) (*.f64 y 6))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
(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) (+.f64 (.f64 x -6) (*.f64 y 6))))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(.f64 6 (.f64 (-.f64 2/3 z) y))
(.f64 (-.f64 2/3 z) (.f64 y 6))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(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) (+.f64 (.f64 x -6) (*.f64 y 6))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(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) (+.f64 (.f64 x -6) (*.f64 y 6))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(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) (+.f64 (.f64 x -6) (*.f64 y 6))))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(.f64 6 (.f64 (-.f64 2/3 z) y))
(.f64 (-.f64 2/3 z) (.f64 y 6))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(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) (+.f64 (.f64 x -6) (*.f64 y 6))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(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) (+.f64 (.f64 x -6) (*.f64 y 6))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z)))))
(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) (+.f64 (.f64 x -6) (*.f64 y 6))))
(.f64 6 (.f64 y (-.f64 2/3 z)))
(.f64 6 (.f64 (-.f64 2/3 z) y))
(.f64 (-.f64 2/3 z) (.f64 y 6))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(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) (+.f64 (.f64 x -6) (*.f64 y 6))))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(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) (+.f64 (.f64 x -6) (*.f64 y 6))))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(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) (+.f64 (.f64 x -6) (*.f64 y 6))))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(fma.f64 -6 (*.f64 (-.f64 2/3 z) x) x)
(*.f64 x (fma.f64 -6 (-.f64 2/3 z) 1))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(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) (+.f64 (.f64 x -6) (*.f64 y 6))))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(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) (+.f64 (.f64 x -6) (*.f64 y 6))))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(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) (+.f64 (.f64 x -6) (*.f64 y 6))))
(.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x))
(neg.f64 (*.f64 x (fma.f64 6 (-.f64 2/3 z) -1)))
(*.f64 (fma.f64 (-.f64 2/3 z) 6 -1) (neg.f64 x))
(+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x)))
(fma.f64 6 (.f64 (-.f64 2/3 z) y) (neg.f64 (.f64 x (fma.f64 6 (-.f64 2/3 z) -1))))
(-.f64 (.f64 (-.f64 2/3 z) (.f64 y 6)) (*.f64 x (fma.f64 (-.f64 2/3 z) 6 -1)))
(+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x)))
(fma.f64 6 (.f64 (-.f64 2/3 z) y) (neg.f64 (.f64 x (fma.f64 6 (-.f64 2/3 z) -1))))
(-.f64 (.f64 (-.f64 2/3 z) (.f64 y 6)) (*.f64 x (fma.f64 (-.f64 2/3 z) 6 -1)))
(+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 -1 (.f64 (-.f64 (*.f64 6 (-.f64 2/3 z)) 1) x)))
(fma.f64 6 (.f64 (-.f64 2/3 z) y) (neg.f64 (.f64 x (fma.f64 6 (-.f64 2/3 z) -1))))
(-.f64 (.f64 (-.f64 2/3 z) (.f64 y 6)) (*.f64 x (fma.f64 (-.f64 2/3 z) 6 -1)))
(+.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 4 (-.f64 y x) (fma.f64 -6 (*.f64 z (-.f64 y x)) x))
(+.f64 x (.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z))))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 4 (-.f64 y x) (fma.f64 -6 (*.f64 z (-.f64 y x)) x))
(+.f64 x (.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z))))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 4 (-.f64 y x) (fma.f64 -6 (*.f64 z (-.f64 y x)) x))
(+.f64 x (.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z))))
(.f64 -6 (.f64 z (-.f64 y x)))
(.f64 (.f64 -6 z) (-.f64 y x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 4 (-.f64 y x) (fma.f64 -6 (*.f64 z (-.f64 y x)) x))
(+.f64 x (.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z))))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 4 (-.f64 y x) (fma.f64 -6 (*.f64 z (-.f64 y x)) x))
(+.f64 x (.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z))))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 4 (-.f64 y x) (fma.f64 -6 (*.f64 z (-.f64 y x)) x))
(+.f64 x (.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z))))
(.f64 -6 (.f64 z (-.f64 y x)))
(.f64 (.f64 -6 z) (-.f64 y x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 4 (-.f64 y x) (fma.f64 -6 (*.f64 z (-.f64 y x)) x))
(+.f64 x (.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z))))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 4 (-.f64 y x) (fma.f64 -6 (*.f64 z (-.f64 y x)) x))
(+.f64 x (.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z))))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(fma.f64 4 (-.f64 y x) (fma.f64 -6 (*.f64 z (-.f64 y x)) x))
(+.f64 x (.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z))))

eval396.0ms (2.7%)

Compiler: Compiled 16405 to 11525 computations (29.7% saved)

prune121.0ms (0.8%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	631	13	644
Fresh	7	2	9
Picked	1	0	1
Done	2	2	4
Total	641	17	658

Error

Counts

658 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	51.5b	(.f64 -6 (.f64 z y))
	39.3b	(.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (*.f64 6 z))))
	33.4b	(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
✓	33.4b	(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
▶	51.5b	(.f64 z (.f64 -6 y))
	50.1b	(.f64 -1 (.f64 (*.f64 -6 z) x))
	49.6b	(+.f64 x (/.f64 (.f64 (-.f64 y x) (.f64 z (*.f64 z -6))) (+.f64 2/3 z)))
▶	30.1b	(.f64 (+.f64 4 (.f64 -6 z)) y)
	50.1b	(.f64 6 (.f64 z x))
	23.7b	(+.f64 (*.f64 4 (-.f64 y x)) x)
	34.9b	(+.f64 x (/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 6 y)) (+.f64 2/3 z)))
✓	39.1b	(.f64 -6 (.f64 z (-.f64 y x)))
▶	12.6b	(+.f64 (.f64 -3 x) (.f64 6 (*.f64 y (-.f64 2/3 z))))
	33.4b	(.f64 -1 (+.f64 (.f64 (.f64 -6 z) x) (.f64 3 x)))
▶	39.5b	(+.f64 x (.f64 (-.f64 y x) (.f64 z -6)))
	50.1b	(.f64 z (.f64 6 x))
	45.4b	(.f64 -1 (.f64 3 x))

Compiler

Compiled 378 to 287 computations (24.1% saved)

localize15.0ms (0.1%)

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 38 to 26 computations (31.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(-.f64 2/3 z)
0.0ms	z	@	inf	(-.f64 2/3 z)
0.0ms	z	@	-inf	(-.f64 2/3 z)

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`pow1_binary64`
487×	`add-sqr-sqrt_binary64`
465×	`add-log-exp_binary64`
465×	`log1p-expm1-u_binary64`
465×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	92	4
2	1177	4

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(-.f64 2/3 z)

Outputs

((#(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 (-.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)) (pow.f64 (cbrt.f64 (-.f64 2/3 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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 (+.f64 4/9 (*.f64 z (+.f64 2/3 z)))))))) (#(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 (+.f64 4/9 (*.f64 z (+.f64 2/3 z))) (-.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)) (+.f64 4/9 (*.f64 z (+.f64 2/3 z))))))) (#(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 (+.f64 4/9 (*.f64 z (+.f64 2/3 z)))))))) (#(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 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 2/3 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4/9 (*.f64 (neg.f64 z) (neg.f64 z))) (-.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) 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 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 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)))))))

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`sub-neg_binary64`
6×	`fma-def_binary64`
4×	`+-commutative_binary64`
3×	`associate-+l-_binary64`
3×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	52
1	10	43
2	14	43
3	18	43
4	25	43
5	35	43
6	47	43
7	59	43
8	62	43

Stop Event

1×

saturated

Counts

40 → 33

Calls

Call 1

Inputs
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
2/3
(+.f64 (*.f64 -1 z) 2/3)
(fma.f64 -1 z 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(fma.f64 -1 z 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(fma.f64 -1 z 2/3)
(-.f64 2/3 z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) 2/3)
(fma.f64 -1 z 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(fma.f64 -1 z 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(fma.f64 -1 z 2/3)
(-.f64 2/3 z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) 2/3)
(fma.f64 -1 z 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(fma.f64 -1 z 2/3)
(-.f64 2/3 z)
(+.f64 (*.f64 -1 z) 2/3)
(fma.f64 -1 z 2/3)
(-.f64 2/3 z)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
513×	`add-log-exp_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
503×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1396	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify10.0ms (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))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
513×	`add-log-exp_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
503×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1396	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

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))

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series7.0ms (0%)

Counts

2 → 15

Calls

9 calls:

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

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`pow1_binary64`
796×	`add-log-exp_binary64`
796×	`log1p-expm1-u_binary64`
796×	`expm1-log1p-u_binary64`
783×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	13
2	2096	13

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4 y) (*.f64 (*.f64 -6 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -6 z) y) (*.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 4) (*.f64 y (*.f64 -6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 -6 z)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 -6 z 4) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64 (*.f64 -216 (pow.f64 z 3))) y) (+.f64 16 (-.f64 (*.f64 36 (*.f64 z z)) (*.f64 -24 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (*.f64 36 (*.f64 z z))) y) (+.f64 4 (*.f64 6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 64 (*.f64 -216 (pow.f64 z 3)))) (+.f64 16 (-.f64 (*.f64 36 (*.f64 z z)) (*.f64 -24 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 16 (*.f64 36 (*.f64 z z)))) (+.f64 4 (*.f64 6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -6 z 4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -6 z 4) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -6 z 4) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 -6 z 4) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 -6 z 4) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 -6 z 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -6 z 4) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -6 z 4) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 -6 z 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -6 z 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -6 z 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -6 z 4) y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -6 z 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16 (+.f64 4 (*.f64 6 z))) (/.f64 (*.f64 36 (*.f64 z z)) (+.f64 4 (*.f64 6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -6 z 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -6 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -6 z 4)) (pow.f64 (cbrt.f64 (fma.f64 -6 z 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -6 z 4)) 2) (cbrt.f64 (fma.f64 -6 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -6 z 4)) (sqrt.f64 (fma.f64 -6 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64 (*.f64 -216 (pow.f64 z 3))) (/.f64 1 (+.f64 16 (-.f64 (*.f64 36 (*.f64 z z)) (*.f64 -24 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16 (*.f64 36 (*.f64 z z))) (/.f64 1 (+.f64 4 (*.f64 6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 16 (-.f64 (*.f64 36 (*.f64 z z)) (*.f64 -24 z))) (+.f64 64 (*.f64 -216 (pow.f64 z 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (*.f64 6 z)) (-.f64 16 (*.f64 36 (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (*.f64 -216 (pow.f64 z 3))) (+.f64 16 (-.f64 (*.f64 36 (*.f64 z z)) (*.f64 -24 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (*.f64 -216 (pow.f64 z 3))) (+.f64 (*.f64 36 (*.f64 z z)) (-.f64 16 (*.f64 -24 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (*.f64 36 (*.f64 z z))) (+.f64 4 (*.f64 6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64 (*.f64 -216 (pow.f64 z 3)))) (neg.f64 (+.f64 16 (-.f64 (*.f64 36 (*.f64 z z)) (*.f64 -24 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16 (*.f64 36 (*.f64 z z)))) (neg.f64 (+.f64 4 (*.f64 6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 36 (*.f64 z z)) 16) (-.f64 (*.f64 -6 z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -6 z 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -6 z 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -6 z 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -6 z 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -6 z 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -6 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -6 z 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -6 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -6 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -6 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -6 z 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z -6 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -6 z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -6 z)) 2) (cbrt.f64 (*.f64 -6 z)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -6 z)) (sqrt.f64 (*.f64 -6 z)) 4)))))

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	126
1	18	126
2	27	117
3	34	99
4	38	99

Stop Event

1×

saturated

Counts

68 → 60

Calls

Call 1

Inputs
(*.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)))
4
(*.f64 -6 z)
(*.f64 -6 z)

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

localize25.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 z -6)))
✓	0.2b	(.f64 (-.f64 y x) (.f64 z -6))

Compiler

Compiled 29 to 14 computations (51.7% saved)

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`log-prod_binary64`
402×	`fma-def_binary64`
383×	`exp-prod_binary64`
376×	`pow-prod-down_binary64`
277×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	201	21
2	2872	21

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify139.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
542×	`fma-neg_binary64`
110×	`cancel-sign-sub-inv_binary64`
107×	`distribute-rgt-in_binary64`
86×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	1001
1	70	941
2	154	705
3	339	705
4	629	705
5	1076	705
6	1680	705
7	2227	705
8	2460	705
9	2550	705
10	2550	705

Stop Event

1×

saturated

Counts

174 → 118

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

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

eval86.0ms (0.6%)

Compiler: Compiled 4060 to 2605 computations (35.8% saved)

prune59.0ms (0.4%)

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	292	6	298
Fresh	3	7	10
Picked	0	1	1
Done	1	5	6
Total	296	19	315

Error

Counts

315 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	51.5b	(.f64 -6 (.f64 z y))
	39.3b	(.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (*.f64 6 z))))
	34.4b	(/.f64 (.f64 (-.f64 16 (.f64 36 (.f64 z z))) y) (+.f64 4 (.f64 6 z)))
	33.4b	(.f64 -1 (+.f64 (.f64 (.f64 -6 z) x) (.f64 3 x)))
▶	33.4b	(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
✓	33.4b	(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
	49.6b	(+.f64 x (/.f64 (.f64 (-.f64 y x) (.f64 z (*.f64 z -6))) (+.f64 2/3 z)))
✓	30.1b	(.f64 (+.f64 4 (.f64 -6 z)) y)
▶	50.1b	(.f64 6 (.f64 z x))
▶	51.5b	(.f64 (.f64 -6 z) y)
▶	23.7b	(+.f64 (.f64 -3 x) (.f64 y 4))
	50.5b	(.f64 (+.f64 1 (.f64 6 z)) x)
✓	39.1b	(.f64 -6 (.f64 z (-.f64 y x)))
▶	41.4b	(*.f64 4 y)
✓	51.5b	(.f64 z (.f64 -6 y))
	62.3b	x
✓	39.5b	(+.f64 x (.f64 (-.f64 y x) (.f64 z -6)))
	50.1b	(.f64 z (.f64 6 x))
	45.4b	(.f64 -1 (.f64 3 x))

Compiler

Compiled 344 to 266 computations (22.7% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -3 x) (.f64 y 4))

Compiler

Compiled 20 to 14 computations (30% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (.f64 -3 x) (.f64 y 4))
0.0ms	y	@	0	(+.f64 (.f64 -3 x) (.f64 y 4))
0.0ms	x	@	inf	(+.f64 (.f64 -3 x) (.f64 y 4))
0.0ms	y	@	inf	(+.f64 (.f64 -3 x) (.f64 y 4))
0.0ms	y	@	-inf	(+.f64 (.f64 -3 x) (.f64 y 4))

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

859×	`pow1_binary64`
804×	`add-log-exp_binary64`
804×	`log1p-expm1-u_binary64`
804×	`expm1-log1p-u_binary64`
789×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	173	8
2	2185	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -3 x (*.f64 y 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 9 (*.f64 x x)) (+.f64 (*.f64 -3 x) (*.f64 -4 y))) (/.f64 (*.f64 (*.f64 y y) 16) (+.f64 (*.f64 -3 x) (*.f64 -4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -3 x (*.f64 y 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -3 x (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -3 x (*.f64 y 4))) (pow.f64 (cbrt.f64 (fma.f64 -3 x (*.f64 y 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -3 x (*.f64 y 4))) 2) (cbrt.f64 (fma.f64 -3 x (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -3 x (*.f64 y 4))) (sqrt.f64 (fma.f64 -3 x (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -27 (pow.f64 x 3)) (*.f64 (pow.f64 y 3) 64)) (/.f64 1 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 y 4) (-.f64 (*.f64 y 4) (*.f64 -3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 y y) 16)) (/.f64 1 (+.f64 (*.f64 -3 x) (*.f64 -4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 y 4) (-.f64 (*.f64 y 4) (*.f64 -3 x)))) (+.f64 (*.f64 -27 (pow.f64 x 3)) (*.f64 (pow.f64 y 3) 64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -3 x) (*.f64 -4 y)) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 y y) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -27 (pow.f64 x 3)) (*.f64 (pow.f64 y 3) 64)) (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 y 4) (-.f64 (*.f64 y 4) (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -27 (pow.f64 x 3)) (*.f64 (pow.f64 y 3) 64)) (+.f64 (*.f64 (*.f64 y y) 16) (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 -3 (*.f64 x (*.f64 y 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 y y) 16)) (+.f64 (*.f64 -3 x) (*.f64 -4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 -27 (pow.f64 x 3)) (*.f64 (pow.f64 y 3) 64))) (neg.f64 (+.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 y 4) (-.f64 (*.f64 y 4) (*.f64 -3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 9 (*.f64 x x)) (*.f64 (*.f64 y y) 16))) (neg.f64 (+.f64 (*.f64 -3 x) (*.f64 -4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 16) (*.f64 9 (*.f64 x x))) (-.f64 (*.f64 y 4) (*.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -3 x (*.f64 y 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3 x (*.f64 y 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3 x (*.f64 y 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -3 x (*.f64 y 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -3 x (*.f64 y 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -3 x (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -3 x (*.f64 y 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -3 x (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -3 x (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -3 x (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 x (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -3 (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 4 (*.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 y (*.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -3 x) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 4) (*.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 4)) 2) (cbrt.f64 (*.f64 y 4)) (*.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -3 x)) 2) (cbrt.f64 (*.f64 -3 x)) (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 y) 2) (*.f64 (sqrt.f64 y) 2) (*.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -3 x)) (sqrt.f64 (*.f64 -3 x)) (*.f64 y 4))))))

simplify9.0ms (0.1%)

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

61 → 40

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))

localize3.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 6 (.f64 z x))

Compiler

Compiled 14 to 7 computations (50% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite47.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
512×	`add-log-exp_binary64`
512×	`log1p-expm1-u_binary64`
512×	`expm1-log1p-u_binary64`
502×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1394	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 6 (.f64 z x))

Outputs

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (0.3%)

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 (.f64 -6 z) y)

Outputs

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

simplify10.0ms (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))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 32 to 25 computations (21.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 1 (*.f64 -6 (-.f64 2/3 z)))
0.0ms	z	@	inf	(+.f64 1 (*.f64 -6 (-.f64 2/3 z)))
0.0ms	z	@	-inf	(+.f64 1 (*.f64 -6 (-.f64 2/3 z)))

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`pow1_binary64`
843×	`add-log-exp_binary64`
843×	`log1p-expm1-u_binary64`
843×	`expm1-log1p-u_binary64`
831×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	175	8
2	2192	8

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-neg_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	54
1	11	54
2	13	54

Stop Event

1×

saturated

Counts

44 → 36

Calls

Call 1

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

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

eval97.0ms (0.7%)

Compiler: Compiled 2773 to 2128 computations (23.3% saved)

prune53.0ms (0.4%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	210	4	214
Fresh	3	5	8
Picked	0	1	1
Done	1	9	10
Total	214	19	233

Error

Counts

233 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	51.5b	(.f64 -6 (.f64 z y))
	39.3b	(.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (*.f64 6 z))))
✓	39.1b	(.f64 -6 (.f64 z (-.f64 y x)))
	33.4b	(.f64 (-.f64 (.f64 6 z) 3) x)
	33.4b	(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
✓	41.4b	(*.f64 4 y)
	45.4b	(*.f64 -3 x)
	49.6b	(+.f64 x (/.f64 (.f64 (-.f64 y x) (.f64 z (*.f64 z -6))) (+.f64 2/3 z)))
✓	30.1b	(.f64 (+.f64 4 (.f64 -6 z)) y)
✓	50.1b	(.f64 6 (.f64 z x))
✓	51.5b	(.f64 (.f64 -6 z) y)
✓	23.7b	(+.f64 (.f64 -3 x) (.f64 y 4))
	50.1b	(.f64 (.f64 6 z) x)
	34.4b	(/.f64 (.f64 (-.f64 16 (.f64 36 (.f64 z z))) y) (+.f64 4 (.f64 6 z)))
✓	33.4b	(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
✓	51.5b	(.f64 z (.f64 -6 y))
	62.3b	x
✓	39.5b	(+.f64 x (.f64 (-.f64 y x) (.f64 z -6)))
	50.1b	(.f64 z (.f64 6 x))

Compiler

Compiled 196 to 149 computations (24% saved)

regimes150.0ms (1%)

Counts

39 → 1

Calls

Call 1

Inputs
x
(*.f64 -3 x)
(*.f64 4 y)
(.f64 (.f64 6 z) x)
(.f64 (.f64 -6 z) y)
(.f64 -6 (.f64 z y))
(.f64 z (.f64 -6 y))
(.f64 6 (.f64 z x))
(.f64 z (.f64 6 x))
(.f64 -1 (.f64 3 x))
(.f64 (-.f64 (.f64 6 z) 3) x)
(+.f64 (.f64 -3 x) (.f64 y 4))
(.f64 (+.f64 1 (.f64 6 z)) x)
(.f64 -1 (.f64 (*.f64 -6 z) x))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 (+.f64 4 (.f64 -6 z)) y)
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(+.f64 x (.f64 (-.f64 y x) (.f64 z -6)))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 y (-.f64 2/3 z))))
(.f64 -1 (+.f64 (.f64 (.f64 -6 z) x) (.f64 3 x)))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(/.f64 (.f64 (-.f64 16 (.f64 36 (.f64 z z))) y) (+.f64 4 (.f64 6 z)))
(+.f64 x (/.f64 (.f64 (-.f64 y x) (.f64 z (*.f64 z -6))) (+.f64 2/3 z)))
(+.f64 x (/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 6 y)) (+.f64 2/3 z)))
(.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (*.f64 6 z))))
(+.f64 x (/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z)))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 x -3 (*.f64 y 4))
(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)) 3)
(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 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (.f64 (cbrt.f64 (-.f64 y x)) (.f64 6 (-.f64 2/3 z))) x)

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

Calls

6 calls:

44.0ms	z
33.0ms	x
21.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
19.0ms	y
11.0ms	(-.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 405 to 256 computations (36.8% saved)

regimes106.0ms (0.7%)

Counts

34 → 1

Calls

Call 1

Inputs
x
(*.f64 -3 x)
(*.f64 4 y)
(.f64 (.f64 6 z) x)
(.f64 (.f64 -6 z) y)
(.f64 -6 (.f64 z y))
(.f64 z (.f64 -6 y))
(.f64 6 (.f64 z x))
(.f64 z (.f64 6 x))
(.f64 -1 (.f64 3 x))
(.f64 (-.f64 (.f64 6 z) 3) x)
(+.f64 (.f64 -3 x) (.f64 y 4))
(.f64 (+.f64 1 (.f64 6 z)) x)
(.f64 -1 (.f64 (*.f64 -6 z) x))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 (+.f64 4 (.f64 -6 z)) y)
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(+.f64 x (.f64 (-.f64 y x) (.f64 z -6)))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 y (-.f64 2/3 z))))
(.f64 -1 (+.f64 (.f64 (.f64 -6 z) x) (.f64 3 x)))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(/.f64 (.f64 (-.f64 16 (.f64 36 (.f64 z z))) y) (+.f64 4 (.f64 6 z)))
(+.f64 x (/.f64 (.f64 (-.f64 y x) (.f64 z (*.f64 z -6))) (+.f64 2/3 z)))
(+.f64 x (/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 6 y)) (+.f64 2/3 z)))
(.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (*.f64 6 z))))
(+.f64 x (/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z)))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(fma.f64 x -3 (*.f64 y 4))
(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)

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

Calls

6 calls:

20.0ms	y
18.0ms	z
18.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
17.0ms	x
11.0ms	(-.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 338 to 222 computations (34.3% saved)

regimes108.0ms (0.7%)

Counts

31 → 1

Calls

Call 1

Inputs
x
(*.f64 -3 x)
(*.f64 4 y)
(.f64 (.f64 6 z) x)
(.f64 (.f64 -6 z) y)
(.f64 -6 (.f64 z y))
(.f64 z (.f64 -6 y))
(.f64 6 (.f64 z x))
(.f64 z (.f64 6 x))
(.f64 -1 (.f64 3 x))
(.f64 (-.f64 (.f64 6 z) 3) x)
(+.f64 (.f64 -3 x) (.f64 y 4))
(.f64 (+.f64 1 (.f64 6 z)) x)
(.f64 -1 (.f64 (*.f64 -6 z) x))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 (+.f64 4 (.f64 -6 z)) y)
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 z x)))
(+.f64 x (.f64 (-.f64 y x) (.f64 z -6)))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 y (-.f64 2/3 z))))
(.f64 -1 (+.f64 (.f64 (.f64 -6 z) x) (.f64 3 x)))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(/.f64 (.f64 (-.f64 16 (.f64 36 (.f64 z z))) y) (+.f64 4 (.f64 6 z)))
(+.f64 x (/.f64 (.f64 (-.f64 y x) (.f64 z (*.f64 z -6))) (+.f64 2/3 z)))
(+.f64 x (/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 6 y)) (+.f64 2/3 z)))
(.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (*.f64 6 z))))
(+.f64 x (/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z)))

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

Calls

5 calls:

35.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
22.0ms	y
17.0ms	z
17.0ms	x
9.0ms	(-.f64 (/.f64 2 3) z)

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`z`
0.3b	1	`(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))`
0.3b	1	`(-.f64 (/.f64 2 3) z)`

Compiler

Compiled 297 to 193 computations (35% saved)

regimes233.0ms (1.6%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

3 calls:

84.0ms	x
78.0ms	y
63.0ms	z

Results

Error	Segments	Branch
8.9b	4	`x`
7.6b	3	`y`
0.6b	3	`z`

Compiler

Compiled 181 to 117 computations (35.4% saved)

bsearch78.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	55125023.02966394	1091022378183316.0
38.0ms	-14369236934.355503	-74.02233883969043

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes300.0ms (2%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

3 calls:

135.0ms	y
80.0ms	z
74.0ms	x

Results

Error	Segments	Branch
13.5b	5	`x`
15.1b	5	`y`
1.2b	3	`z`

Compiler

Compiled 159 to 101 computations (36.5% saved)

bsearch45.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	0.0070897175698634	55.87996170045747
21.0ms	-74.02233883969043	-4.941137657521701e-17

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes211.0ms (1.4%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

3 calls:

103.0ms	x
64.0ms	y
38.0ms	z

Results

Error	Segments	Branch
13.5b	5	`x`
15.1b	5	`y`
1.2b	3	`z`

Compiler

Compiled 149 to 96 computations (35.6% saved)

bsearch83.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	0.0070897175698634	55.87996170045747
41.0ms	-74.02233883969043	-4.941137657521701e-17

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes305.0ms (2.1%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

3 calls:

113.0ms	y
102.0ms	x
80.0ms	z

Results

Error	Segments	Branch
13.5b	5	`x`
15.1b	5	`y`
1.2b	3	`z`

Compiler

Compiled 122 to 78 computations (36.1% saved)

bsearch92.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	0.0070897175698634	55.87996170045747
45.0ms	-74.02233883969043	-4.941137657521701e-17

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes203.0ms (1.4%)

Counts

15 → 7

Calls

Call 1

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

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

Calls

3 calls:

99.0ms	z
60.0ms	x
32.0ms	y

Results

Error	Segments	Branch
19.9b	4	`x`
18.1b	3	`y`
7.7b	7	`z`

Compiler

Compiled 92 to 62 computations (32.6% saved)

bsearch409.0ms (2.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
68.0ms	2.373001413620506e+217	1.3737899778085438e+232
66.0ms	2.2204349462075456e+85	3.794558262155094e+85
44.0ms	0.0070897175698634	55.87996170045747
42.0ms	-14369236934.355503	-74.02233883969043
125.0ms	-1.3623245722890805e+113	-5.1400960407530606e+100
63.0ms	-5.412297149271638e+165	-1.7634835736723298e+161

Compiler

Compiled 646 to 513 computations (20.6% saved)

regimes469.0ms (3.2%)

Counts

11 → 7

Calls

Call 1

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

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

Calls

3 calls:

254.0ms	z
167.0ms	y
43.0ms	x

Results

Error	Segments	Branch
24.7b	3	`x`
20.8b	7	`y`
21.4b	11	`z`

Compiler

Compiled 64 to 43 computations (32.8% saved)

bsearch599.0ms (4.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
215.0ms	6.7328635354873085e+196	5.495888559532554e+203
242.0ms	8.341954393908672e+131	5.888623914099674e+146
42.0ms	4459055.469566613	702969751.3641397
26.0ms	-1.714957899239911e-49	-1.3020018949394172e-49
28.0ms	-7.959609532306353e-32	-9.670141075024897e-38
46.0ms	-1.837726475861053e+85	-5.012821391028091e+74

Compiler

Compiled 326 to 264 computations (19% saved)

regimes325.0ms (2.2%)

Counts

10 → 9

Calls

Call 1

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

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

Calls

3 calls:

137.0ms	z
122.0ms	y
61.0ms	x

Results

Error	Segments	Branch
30.1b	7	`x`
27.9b	10	`y`
23.7b	9	`z`

Compiler

Compiled 57 to 38 computations (33.3% saved)

bsearch412.0ms (2.8%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
47.0ms	2.373001413620506e+217	1.3737899778085438e+232
32.0ms	2.2204349462075456e+85	3.794558262155094e+85
21.0ms	0.0070897175698634	55.87996170045747
143.0ms	1.2155519884432873e-197	1.7659906510859396e-195
26.0ms	3.771693841740401e-286	1.988573200342283e-275
21.0ms	-14369236934.355503	-74.02233883969043
87.0ms	-1.3623245722890805e+113	-5.1400960407530606e+100
36.0ms	-5.412297149271638e+165	-1.7634835736723298e+161

Compiler

Compiled 598 to 465 computations (22.2% saved)

regimes236.0ms (1.6%)

Counts

6 → 9

Calls

Call 1

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

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

Calls

3 calls:

94.0ms	y
71.0ms	x
69.0ms	z

Results

Error	Segments	Branch
30.1b	7	`x`
27.9b	10	`y`
23.7b	9	`z`

Compiler

Compiled 37 to 25 computations (32.4% saved)

bsearch303.0ms (2.1%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
28.0ms	2.373001413620506e+217	1.3737899778085438e+232
62.0ms	2.2204349462075456e+85	3.794558262155094e+85
23.0ms	0.0070897175698634	55.87996170045747
26.0ms	1.2155519884432873e-197	1.7659906510859396e-195
25.0ms	3.771693841740401e-286	1.988573200342283e-275
44.0ms	-14369236934.355503	-74.02233883969043
58.0ms	-1.3623245722890805e+113	-5.1400960407530606e+100
37.0ms	-5.412297149271638e+165	-1.7634835736723298e+161

Compiler

Compiled 598 to 465 computations (22.2% saved)

regimes240.0ms (1.6%)

Counts

5 → 9

Calls

Call 1

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

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

Calls

3 calls:

159.0ms	y
47.0ms	z
33.0ms	x

Results

Error	Segments	Branch
30.1b	7	`x`
27.9b	10	`y`
23.7b	9	`z`

Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch338.0ms (2.3%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
73.0ms	2.373001413620506e+217	1.3737899778085438e+232
56.0ms	2.2204349462075456e+85	3.794558262155094e+85
30.0ms	0.0070897175698634	55.87996170045747
25.0ms	1.2155519884432873e-197	1.7659906510859396e-195
28.0ms	3.771693841740401e-286	1.988573200342283e-275
38.0ms	-14369236934.355503	-74.02233883969043
49.0ms	-1.3623245722890805e+113	-5.1400960407530606e+100
38.0ms	-5.412297149271638e+165	-1.7634835736723298e+161

Compiler

Compiled 598 to 465 computations (22.2% saved)

regimes329.0ms (2.2%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

3 calls:

178.0ms	y
90.0ms	z
59.0ms	x

Results

Error	Segments	Branch
30.1b	7	`x`
29.5b	9	`y`
27.9b	5	`z`

Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch253.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
48.0ms	0.0070897175698634	55.87996170045747
64.0ms	1.2155519884432873e-197	1.7659906510859396e-195
60.0ms	3.771693841740401e-286	1.988573200342283e-275
80.0ms	-14369236934.355503	-74.02233883969043

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes109.0ms (0.7%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	x
38.0ms	y
30.0ms	z

Results

Error	Segments	Branch
31.8b	5	`x`
32.6b	5	`y`
39.8b	3	`z`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch173.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
42.0ms	2.1180897128004428e+52	3.8235761351502074e+57
45.0ms	-1.4913429653956874e-42	-3.278534080037216e-46
44.0ms	-6847.138990264478	-0.16984251430206374
42.0ms	-4.053246846227415e+90	-2.1758405672892602e+83

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes25.0ms (0.2%)

Accuracy

Total -17.6b remaining (-38.6%)

Threshold costs -17.6b (-38.6%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(*.f64 -3 x)

Outputs
(*.f64 -3 x)

Calls

3 calls:

8.0ms	y
7.0ms	x
7.0ms	z

Results

Error	Segments	Branch
45.4b	1	`x`
45.4b	1	`y`
45.4b	1	`z`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify260.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

169×	`distribute-rgt-neg-in_binary64`
126×	`cancel-sign-sub-inv_binary64`
112×	`distribute-lft-neg-out_binary64`
99×	`distribute-lft-neg-in_binary64`
91×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	140	818
1	180	814
2	194	814
3	208	814
4	218	814
5	237	814
6	272	814
7	316	814
8	380	814
9	461	814
10	557	814
11	644	814
12	764	814
13	922	814
14	1063	814
15	1167	814
16	1236	814
17	1278	814
18	1290	814

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(if (<=.f64 z -3766809246919689/262144) (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))) (if (<=.f64 z 7398755346989171/134217728) (+.f64 (.f64 -3 x) (.f64 6 (.f64 y (-.f64 2/3 z)))) (.f64 -6 (*.f64 z (-.f64 y x)))))
(if (<=.f64 z -2604429512621269/35184372088832) (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))) (if (<=.f64 z 4086943923942255/576460752303423488) (+.f64 (.f64 -3 x) (.f64 y 4)) (.f64 -6 (.f64 z (-.f64 y x)))))
(if (<=.f64 z -2604429512621269/35184372088832) (+.f64 x (.f64 (-.f64 y x) (.f64 z -6))) (if (<=.f64 z 4086943923942255/576460752303423488) (+.f64 (.f64 -3 x) (.f64 y 4)) (.f64 -6 (.f64 z (-.f64 y x)))))
(if (<=.f64 z -2604429512621269/35184372088832) (.f64 -6 (.f64 z (-.f64 y x))) (if (<=.f64 z 4086943923942255/576460752303423488) (+.f64 (.f64 -3 x) (.f64 y 4)) (.f64 -6 (.f64 z (-.f64 y x)))))
(if (<=.f64 z -179999999999999991809867743164304086087427869300453890886284773824455759423616381689070858720502746283775855272893250654006708753453914860067394837843033146261504) (.f64 (.f64 6 z) x) (if (<=.f64 z -135000000000000005518100434951479940108241918455626676869246264128806992372508592456324588887556285473027187015680) (.f64 -6 (.f64 z y)) (if (<=.f64 z -3766809246919689/262144) (.f64 (-.f64 (.f64 6 z) 3) x) (if (<=.f64 z 4086943923942255/576460752303423488) (+.f64 (.f64 -3 x) (.f64 y 4)) (if (<=.f64 z 22500000000000000329190642690184643196825967226954738833768742711320418195650834857984) (.f64 -6 (.f64 z y)) (if (<=.f64 z 13500000000000000417689782333157152929802943192339175832950560398279141557482968398542036317444221012185620164703704148692084891743697796303178150017598507048222614384663177934885078703041237051325718405414600070085950411643815985152) (.f64 (-.f64 (.f64 6 z) 3) x) (.f64 z (.f64 -6 y))))))))
(if (<=.f64 y -18377264758610530394401768660397493721423809353081803980715651187290737458818460942336) (.f64 4 y) (if (<=.f64 y -1817653494371937/22835963083295358096932575511191922182123945984) (.f64 (-.f64 (.f64 6 z) 3) x) (if (<=.f64 y -564394207762655/3291009114642412084309938365114701009965471731267159726697218048) (.f64 4 y) (if (<=.f64 y 149621073537801/33554432) (.f64 (-.f64 (.f64 6 z) 3) x) (if (<=.f64 y 579999999999999965943798544433584779569376921672441784456070143195901787443599166487325464718286313155462156801219545143961790554324633262789492736) (.f64 4 y) (if (<=.f64 y 67999999999999999997356342651593264772972582088995194366329756249849399718025586198815286776698430670817592209299575576165557411144388298946043864628100133467138359752110239654230651181165405274112) (.f64 -6 (.f64 z y)) (.f64 4 y)))))))
(if (<=.f64 z -179999999999999991809867743164304086087427869300453890886284773824455759423616381689070858720502746283775855272893250654006708753453914860067394837843033146261504) (.f64 (.f64 6 z) x) (if (<=.f64 z -135000000000000005518100434951479940108241918455626676869246264128806992372508592456324588887556285473027187015680) (.f64 -6 (.f64 z y)) (if (<=.f64 z -3766809246919689/262144) (.f64 (.f64 6 z) x) (if (<=.f64 z 4041402415096279/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (.f64 4 y) (if (<=.f64 z 8184279877899583/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128) (.f64 -3 x) (if (<=.f64 z 4086943923942255/576460752303423488) (.f64 4 y) (if (<=.f64 z 22500000000000000329190642690184643196825967226954738833768742711320418195650834857984) (.f64 -6 (.f64 z y)) (if (<=.f64 z 13500000000000000417689782333157152929802943192339175832950560398279141557482968398542036317444221012185620164703704148692084891743697796303178150017598507048222614384663177934885078703041237051325718405414600070085950411643815985152) (.f64 (.f64 6 z) x) (.f64 z (*.f64 -6 y))))))))))
(if (<=.f64 z -179999999999999991809867743164304086087427869300453890886284773824455759423616381689070858720502746283775855272893250654006708753453914860067394837843033146261504) (.f64 (.f64 6 z) x) (if (<=.f64 z -135000000000000005518100434951479940108241918455626676869246264128806992372508592456324588887556285473027187015680) (.f64 -6 (.f64 z y)) (if (<=.f64 z -3766809246919689/262144) (.f64 (.f64 6 z) x) (if (<=.f64 z 4041402415096279/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (.f64 4 y) (if (<=.f64 z 8184279877899583/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128) (.f64 -3 x) (if (<=.f64 z 4086943923942255/576460752303423488) (.f64 4 y) (if (<=.f64 z 22500000000000000329190642690184643196825967226954738833768742711320418195650834857984) (.f64 -6 (.f64 z y)) (if (<=.f64 z 13500000000000000417689782333157152929802943192339175832950560398279141557482968398542036317444221012185620164703704148692084891743697796303178150017598507048222614384663177934885078703041237051325718405414600070085950411643815985152) (.f64 (.f64 6 z) x) (.f64 -6 (*.f64 z y))))))))))
(if (<=.f64 z -179999999999999991809867743164304086087427869300453890886284773824455759423616381689070858720502746283775855272893250654006708753453914860067394837843033146261504) (.f64 (.f64 6 z) x) (if (<=.f64 z -135000000000000005518100434951479940108241918455626676869246264128806992372508592456324588887556285473027187015680) (.f64 (.f64 -6 z) y) (if (<=.f64 z -3766809246919689/262144) (.f64 (.f64 6 z) x) (if (<=.f64 z 4041402415096279/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (.f64 4 y) (if (<=.f64 z 8184279877899583/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128) (.f64 -3 x) (if (<=.f64 z 4086943923942255/576460752303423488) (.f64 4 y) (if (<=.f64 z 22500000000000000329190642690184643196825967226954738833768742711320418195650834857984) (.f64 (.f64 -6 z) y) (if (<=.f64 z 13500000000000000417689782333157152929802943192339175832950560398279141557482968398542036317444221012185620164703704148692084891743697796303178150017598507048222614384663177934885078703041237051325718405414600070085950411643815985152) (.f64 (.f64 6 z) x) (.f64 (*.f64 -6 z) y)))))))))
(if (<=.f64 z -3766809246919689/262144) (.f64 (.f64 6 z) x) (if (<=.f64 z 4041402415096279/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (.f64 4 y) (if (<=.f64 z 8184279877899583/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128) (.f64 -3 x) (if (<=.f64 z 4086943923942255/576460752303423488) (.f64 4 y) (.f64 (*.f64 6 z) x)))))
(if (<=.f64 x -4053246846227415058541506158762887633709274518923111872798003218176276833000670638995668992) (.f64 -3 x) (if (<=.f64 x -7528508936794213/1099511627776) (.f64 4 y) (if (<=.f64 x -2340327879035497/1569275433846670190958947355801916604025588861116008628224) (.f64 -3 x) (if (<=.f64 x 21180897128004427783145933669686949712036988735979520) (.f64 4 y) (*.f64 -3 x)))))
(*.f64 -3 x)
x

Outputs
(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 x (+.f64 1 (.f64 -6 (-.f64 2/3 z)))) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 x (+.f64 1 (.f64 -6 (-.f64 2/3 z)))) (.f64 -6 (.f64 y (+.f64 z -2/3))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(+.f64 x (.f64 (-.f64 2/3 z) (.f64 (-.f64 y x) 6)))
(if (<=.f64 z -3766809246919689/262144) (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))) (if (<=.f64 z 7398755346989171/134217728) (+.f64 (.f64 -3 x) (.f64 6 (.f64 y (-.f64 2/3 z)))) (.f64 -6 (*.f64 z (-.f64 y x)))))
(if (<=.f64 z -3766809246919689/262144) (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))) (if (<=.f64 z 7398755346989171/134217728) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 x -3)) (.f64 -6 (*.f64 (-.f64 y x) z))))
(if (<=.f64 z -3766809246919689/262144) (-.f64 x (.f64 z (.f64 (-.f64 y x) 6))) (if (<=.f64 z 7398755346989171/134217728) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 x -3)) (.f64 -6 (*.f64 (-.f64 y x) z))))
(if (<=.f64 z -3766809246919689/262144) (+.f64 x (.f64 z (.f64 (-.f64 y x) -6))) (if (<=.f64 z 7398755346989171/134217728) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 x -3)) (.f64 -6 (*.f64 (-.f64 y x) z))))
(if (<=.f64 z -3766809246919689/262144) (+.f64 x (.f64 z (.f64 (-.f64 y x) -6))) (if (<=.f64 z 7398755346989171/134217728) (+.f64 (.f64 -6 (.f64 y (+.f64 z -2/3))) (.f64 x -3)) (.f64 -6 (*.f64 (-.f64 y x) z))))
(if (<=.f64 z -2604429512621269/35184372088832) (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))) (if (<=.f64 z 4086943923942255/576460752303423488) (+.f64 (.f64 -3 x) (.f64 y 4)) (.f64 -6 (.f64 z (-.f64 y x)))))
(if (<=.f64 z -2604429512621269/35184372088832) (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))) (if (<=.f64 z 4086943923942255/576460752303423488) (+.f64 (.f64 x -3) (.f64 y 4)) (.f64 -6 (.f64 (-.f64 y x) z))))
(if (<=.f64 z -2604429512621269/35184372088832) (-.f64 x (.f64 z (.f64 (-.f64 y x) 6))) (if (<=.f64 z 4086943923942255/576460752303423488) (+.f64 (.f64 x -3) (.f64 y 4)) (.f64 -6 (.f64 (-.f64 y x) z))))
(if (<=.f64 z -2604429512621269/35184372088832) (+.f64 x (.f64 z (.f64 (-.f64 y x) -6))) (if (<=.f64 z 4086943923942255/576460752303423488) (+.f64 (.f64 x -3) (.f64 y 4)) (.f64 -6 (.f64 (-.f64 y x) z))))
(if (<=.f64 z -2604429512621269/35184372088832) (+.f64 x (.f64 z (.f64 (-.f64 y x) -6))) (if (<=.f64 z 4086943923942255/576460752303423488) (-.f64 (.f64 x -3) (.f64 y -4)) (.f64 -6 (.f64 (-.f64 y x) z))))
(if (<=.f64 z -2604429512621269/35184372088832) (+.f64 x (.f64 (-.f64 y x) (.f64 z -6))) (if (<=.f64 z 4086943923942255/576460752303423488) (+.f64 (.f64 -3 x) (.f64 y 4)) (.f64 -6 (.f64 z (-.f64 y x)))))
(if (<=.f64 z -2604429512621269/35184372088832) (+.f64 x (.f64 (-.f64 y x) (.f64 z -6))) (if (<=.f64 z 4086943923942255/576460752303423488) (+.f64 (.f64 x -3) (.f64 y 4)) (.f64 -6 (.f64 (-.f64 y x) z))))
(if (<=.f64 z -2604429512621269/35184372088832) (+.f64 x (.f64 (-.f64 y x) (.f64 z -6))) (if (<=.f64 z 4086943923942255/576460752303423488) (-.f64 (.f64 x -3) (.f64 y -4)) (.f64 -6 (.f64 (-.f64 y x) z))))
(if (<=.f64 z -2604429512621269/35184372088832) (.f64 -6 (.f64 z (-.f64 y x))) (if (<=.f64 z 4086943923942255/576460752303423488) (+.f64 (.f64 -3 x) (.f64 y 4)) (.f64 -6 (.f64 z (-.f64 y x)))))
(if (<=.f64 z -2604429512621269/35184372088832) (.f64 -6 (.f64 (-.f64 y x) z)) (if (<=.f64 z 4086943923942255/576460752303423488) (+.f64 (.f64 x -3) (.f64 y 4)) (.f64 -6 (.f64 (-.f64 y x) z))))
(if (<=.f64 z -2604429512621269/35184372088832) (.f64 -6 (.f64 (-.f64 y x) z)) (if (<=.f64 z 4086943923942255/576460752303423488) (-.f64 (.f64 x -3) (.f64 y -4)) (.f64 -6 (.f64 (-.f64 y x) z))))
(if (<=.f64 z -179999999999999991809867743164304086087427869300453890886284773824455759423616381689070858720502746283775855272893250654006708753453914860067394837843033146261504) (.f64 (.f64 6 z) x) (if (<=.f64 z -135000000000000005518100434951479940108241918455626676869246264128806992372508592456324588887556285473027187015680) (.f64 -6 (.f64 z y)) (if (<=.f64 z -3766809246919689/262144) (.f64 (-.f64 (.f64 6 z) 3) x) (if (<=.f64 z 4086943923942255/576460752303423488) (+.f64 (.f64 -3 x) (.f64 y 4)) (if (<=.f64 z 22500000000000000329190642690184643196825967226954738833768742711320418195650834857984) (.f64 -6 (.f64 z y)) (if (<=.f64 z 13500000000000000417689782333157152929802943192339175832950560398279141557482968398542036317444221012185620164703704148692084891743697796303178150017598507048222614384663177934885078703041237051325718405414600070085950411643815985152) (.f64 (-.f64 (.f64 6 z) 3) x) (.f64 z (.f64 -6 y))))))))
(if (<=.f64 z -179999999999999991809867743164304086087427869300453890886284773824455759423616381689070858720502746283775855272893250654006708753453914860067394837843033146261504) (.f64 x (.f64 z 6)) (if (<=.f64 z -135000000000000005518100434951479940108241918455626676869246264128806992372508592456324588887556285473027187015680) (.f64 -6 (.f64 y z)) (if (<=.f64 z -3766809246919689/262144) (.f64 x (+.f64 (.f64 z 6) -3)) (if (<=.f64 z 4086943923942255/576460752303423488) (+.f64 (.f64 x -3) (.f64 y 4)) (if (<=.f64 z 22500000000000000329190642690184643196825967226954738833768742711320418195650834857984) (.f64 -6 (.f64 y z)) (if (<=.f64 z 13500000000000000417689782333157152929802943192339175832950560398279141557482968398542036317444221012185620164703704148692084891743697796303178150017598507048222614384663177934885078703041237051325718405414600070085950411643815985152) (.f64 x (+.f64 (.f64 z 6) -3)) (.f64 z (.f64 y -6))))))))
(if (<=.f64 z -179999999999999991809867743164304086087427869300453890886284773824455759423616381689070858720502746283775855272893250654006708753453914860067394837843033146261504) (.f64 x (.f64 z 6)) (if (<=.f64 z -135000000000000005518100434951479940108241918455626676869246264128806992372508592456324588887556285473027187015680) (.f64 -6 (.f64 y z)) (if (<=.f64 z -3766809246919689/262144) (.f64 x (+.f64 -3 (.f64 z 6))) (if (<=.f64 z 4086943923942255/576460752303423488) (+.f64 (.f64 x -3) (.f64 y 4)) (if (<=.f64 z 22500000000000000329190642690184643196825967226954738833768742711320418195650834857984) (.f64 -6 (.f64 y z)) (if (<=.f64 z 13500000000000000417689782333157152929802943192339175832950560398279141557482968398542036317444221012185620164703704148692084891743697796303178150017598507048222614384663177934885078703041237051325718405414600070085950411643815985152) (.f64 x (+.f64 -3 (.f64 z 6))) (.f64 z (.f64 y -6))))))))
(if (<=.f64 z -179999999999999991809867743164304086087427869300453890886284773824455759423616381689070858720502746283775855272893250654006708753453914860067394837843033146261504) (.f64 x (.f64 z 6)) (if (<=.f64 z -135000000000000005518100434951479940108241918455626676869246264128806992372508592456324588887556285473027187015680) (.f64 -6 (.f64 y z)) (if (<=.f64 z -3766809246919689/262144) (.f64 x (-.f64 -3 (.f64 z -6))) (if (<=.f64 z 4086943923942255/576460752303423488) (+.f64 (.f64 x -3) (.f64 y 4)) (if (<=.f64 z 22500000000000000329190642690184643196825967226954738833768742711320418195650834857984) (.f64 -6 (.f64 y z)) (if (<=.f64 z 13500000000000000417689782333157152929802943192339175832950560398279141557482968398542036317444221012185620164703704148692084891743697796303178150017598507048222614384663177934885078703041237051325718405414600070085950411643815985152) (.f64 x (-.f64 -3 (.f64 z -6))) (.f64 z (.f64 y -6))))))))
(if (<=.f64 z -179999999999999991809867743164304086087427869300453890886284773824455759423616381689070858720502746283775855272893250654006708753453914860067394837843033146261504) (.f64 x (.f64 z 6)) (if (<=.f64 z -135000000000000005518100434951479940108241918455626676869246264128806992372508592456324588887556285473027187015680) (.f64 -6 (.f64 y z)) (if (<=.f64 z -3766809246919689/262144) (.f64 x (-.f64 -3 (.f64 z -6))) (if (<=.f64 z 4086943923942255/576460752303423488) (-.f64 (.f64 x -3) (.f64 y -4)) (if (<=.f64 z 22500000000000000329190642690184643196825967226954738833768742711320418195650834857984) (.f64 -6 (.f64 y z)) (if (<=.f64 z 13500000000000000417689782333157152929802943192339175832950560398279141557482968398542036317444221012185620164703704148692084891743697796303178150017598507048222614384663177934885078703041237051325718405414600070085950411643815985152) (.f64 x (-.f64 -3 (.f64 z -6))) (.f64 z (.f64 y -6))))))))
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(if (<=.f64 y -18377264758610530394401768660397493721423809353081803980715651187290737458818460942336) (.f64 y 4) (if (<=.f64 y -1817653494371937/22835963083295358096932575511191922182123945984) (.f64 x (+.f64 (.f64 z 6) -3)) (if (<=.f64 y -564394207762655/3291009114642412084309938365114701009965471731267159726697218048) (.f64 y 4) (if (<=.f64 y 149621073537801/33554432) (.f64 x (+.f64 (.f64 z 6) -3)) (if (<=.f64 y 579999999999999965943798544433584779569376921672441784456070143195901787443599166487325464718286313155462156801219545143961790554324633262789492736) (.f64 y 4) (if (<=.f64 y 67999999999999999997356342651593264772972582088995194366329756249849399718025586198815286776698430670817592209299575576165557411144388298946043864628100133467138359752110239654230651181165405274112) (.f64 -6 (.f64 y z)) (.f64 y 4)))))))
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(if (<=.f64 z -179999999999999991809867743164304086087427869300453890886284773824455759423616381689070858720502746283775855272893250654006708753453914860067394837843033146261504) (.f64 x (.f64 z 6)) (if (<=.f64 z -135000000000000005518100434951479940108241918455626676869246264128806992372508592456324588887556285473027187015680) (.f64 y (.f64 z -6)) (if (<=.f64 z -3766809246919689/262144) (.f64 x (.f64 z 6)) (if (<=.f64 z 4041402415096279/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (.f64 y 4) (if (<=.f64 z 8184279877899583/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128) (.f64 x -3) (if (<=.f64 z 4086943923942255/576460752303423488) (.f64 y 4) (if (<=.f64 z 22500000000000000329190642690184643196825967226954738833768742711320418195650834857984) (.f64 y (.f64 z -6)) (if (<=.f64 z 13500000000000000417689782333157152929802943192339175832950560398279141557482968398542036317444221012185620164703704148692084891743697796303178150017598507048222614384663177934885078703041237051325718405414600070085950411643815985152) (.f64 x (.f64 z 6)) (.f64 y (*.f64 z -6))))))))))
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(if (<=.f64 z -3766809246919689/262144) (.f64 x (.f64 z 6)) (if (<=.f64 z 4041402415096279/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (.f64 y 4) (if (<=.f64 z 8184279877899583/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128) (.f64 x -3) (if (<=.f64 z 4086943923942255/576460752303423488) (.f64 y 4) (.f64 x (*.f64 z 6))))))
(if (<=.f64 x -4053246846227415058541506158762887633709274518923111872798003218176276833000670638995668992) (.f64 -3 x) (if (<=.f64 x -7528508936794213/1099511627776) (.f64 4 y) (if (<=.f64 x -2340327879035497/1569275433846670190958947355801916604025588861116008628224) (.f64 -3 x) (if (<=.f64 x 21180897128004427783145933669686949712036988735979520) (.f64 4 y) (*.f64 -3 x)))))
(if (<=.f64 x -4053246846227415058541506158762887633709274518923111872798003218176276833000670638995668992) (.f64 x -3) (if (<=.f64 x -7528508936794213/1099511627776) (.f64 y 4) (if (<=.f64 x -2340327879035497/1569275433846670190958947355801916604025588861116008628224) (.f64 x -3) (if (<=.f64 x 21180897128004427783145933669686949712036988735979520) (.f64 y 4) (*.f64 x -3)))))
(*.f64 -3 x)
(*.f64 x -3)
x

Compiler

Compiled 614 to 422 computations (31.3% saved)

soundness781.0ms (5.3%)

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)

end665.0ms (4.5%)

Compiler: Compiled 569 to 366 computations (35.7% saved)