Details

analyze267.0ms (1.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
28.1%	71.8%	0.1%	9
34.3%	59.3%	6.4%	10
40.6%	51.3%	8.1%	11
48%	43.2%	8.8%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample2.3s (16.3%)

Results

1.8s	7752×	body	256	valid
199.0ms	1247×	body	256	invalid
93.0ms	226×	body	1024	valid
90.0ms	278×	body	512	valid

preprocess57.0ms (0.4%)

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)

simplify296.0ms (2.1%)

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)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize21.0ms (0.1%)

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)
✓	0.4b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z))

Compiler

Compiled 49 to 31 computations (36.7% saved)

series12.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

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

rewrite131.0ms (0.9%)

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)))))

simplify433.0ms (3.1%)

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)

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 z -6 4)
✓	0.2b	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)

Compiler

Compiled 24 to 13 computations (45.8% saved)

series19.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	z	@	inf	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
3.0ms	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	@	-inf	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)

rewrite106.0ms (0.8%)

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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(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))))))

simplify226.0ms (1.6%)

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)

eval103.0ms (0.7%)

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

prune64.0ms (0.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	267	19	286
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	269	19	288

Error

Counts

288 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
	33.1b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
	31.1b	(fma.f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (.f64 6 (-.f64 2/3 z))) x)
	0.4b	(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (-.f64 (/.f64 2 3) z)))
	33.0b	(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
	23.1b	(fma.f64 x -3 (*.f64 y 4))
▶	0.4b	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
	13.7b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (cbrt.f64 (pow.f64 (-.f64 2/3 z) 3))))
	0.4b	(+.f64 x (+.f64 0 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))
	23.1b	(+.f64 (*.f64 4 (-.f64 y x)) x)
	11.4b	(fma.f64 (.f64 (.f64 (-.f64 y x) 6) (sqrt.f64 (-.f64 2/3 z))) (sqrt.f64 (-.f64 2/3 z)) x)
	0.4b	(+.f64 x (.f64 (fma.f64 y 6 (.f64 (neg.f64 x) 6)) (-.f64 (/.f64 2 3) z)))
	33.4b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))))
▶	40.9b	(+.f64 x (.f64 -6 (.f64 z (-.f64 y x))))
▶	40.5b	(.f64 -6 (.f64 z (-.f64 y x)))
	30.8b	(.f64 (+.f64 4 (.f64 -6 z)) y)
▶	0.3b	(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
	40.9b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
	31.3b	(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))

Compiler

Compiled 542 to 396 computations (26.9% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 63 to 47 computations (25.4% saved)

series10.0ms (0.1%)

Counts

4 → 48

Calls

21 calls:

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

rewrite81.0ms (0.6%)

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

simplify107.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1059×	`fma-def_binary64`
285×	`fma-neg_binary64`
124×	`associate-l_binary64`
118×	`distribute-rgt-in_binary64`
112×	`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	657	313
9	1262	313
10	1590	313
11	1867	313
12	2181	313
13	2534	313
14	2653	313
15	2776	313
16	2889	313
17	2919	313
18	2921	313

Stop Event

1×

saturated

Counts

172 → 145

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

localize17.0ms (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)

series20.0ms (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	@	inf	(.f64 -6 (.f64 z (-.f64 y x)))
1.0ms	z	@	0	(.f64 -6 (.f64 z (-.f64 y x)))
1.0ms	x	@	0	(.f64 -6 (.f64 z (-.f64 y x)))
1.0ms	y	@	0	(.f64 -6 (.f64 z (-.f64 y x)))

rewrite88.0ms (0.6%)

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))))))))

simplify102.0ms (0.7%)

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))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 11 computations (64.5% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`log-prod_binary64`
400×	`fma-def_binary64`
388×	`exp-prod_binary64`
370×	`pow-prod-down_binary64`
276×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	201	11
2	2879	11

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

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

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	531
1	68	471
2	152	363
3	340	363
4	630	363
5	1079	363
6	1681	363
7	2228	363
8	2461	363
9	2551	363
10	2551	363

Stop Event

1×

saturated

Counts

104 → 80

Calls

Call 1

Inputs
(.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)))
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)
(+.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))

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 2/3 z)
✓	0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
	0.0b	(*.f64 (-.f64 y x) 6)
✓	0.4b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

Compiler

Compiled 39 to 21 computations (46.2% saved)

series6.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

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

Outputs

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

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

simplify391.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

219 → 161

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 16 computations (48.4% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
1.0ms	z	@	0	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
0.0ms	x	@	0	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
0.0ms	y	@	inf	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
0.0ms	y	@	0	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`log-prod_binary64`
471×	`prod-diff_binary64`
347×	`pow-prod-down_binary64`
298×	`pow2_binary64`
237×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	223	24
2	2972	24

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify370.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

5385×	`fma-def_binary64`
639×	`unsub-neg_binary64`
405×	`fma-neg_binary64`
311×	`associate--r+_binary64`
283×	`sub-neg_binary64`

Iterations

Useful iterations: 16 (0.0ms)

Iter	Nodes	Cost
0	41	1109
1	105	866
2	289	809
3	950	736
4	2343	736
5	4610	736
6	5699	736
7	6274	736
8	6420	736
9	6442	736
10	6442	736
11	6442	736
12	6442	736
13	6445	736
14	6934	736
15	6934	736
16	6934	733

Stop Event

1×	node limit

Counts

149 → 103

Calls

Call 1

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

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

eval203.0ms (1.5%)

Compiler: Compiled 10725 to 6557 computations (38.9% saved)

prune152.0ms (1.1%)

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	641	19	660
Fresh	11	3	14
Picked	1	0	1
Done	1	3	4
Total	654	25	679

Error

Counts

679 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	23.3b	(fma.f64 (*.f64 (-.f64 x y) -2/3) 6 x)
	52.0b	(.f64 z (.f64 -6 y))
	33.1b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
✓	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
	33.0b	(+.f64 x (.f64 (.f64 -6 x) (-.f64 2/3 z)))
	33.3b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
▶	9.5b	(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (/.f64 (.f64 (-.f64 4/9 (*.f64 z z)) y) (+.f64 2/3 z))))
	33.0b	(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
	10.0b	(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 (-.f64 2/3 z) 2))) x) (+.f64 1 (.f64 6 (-.f64 2/3 z)))) (.f64 6 (*.f64 y (-.f64 2/3 z))))
	51.4b	(.f64 z (.f64 6 x))
▶	31.3b	(+.f64 x (.f64 (.f64 6 y) (-.f64 2/3 z)))
	48.8b	(.f64 -6 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) z) (+.f64 y x)))
	51.4b	(.f64 6 (.f64 z x))
▶	52.0b	(.f64 -6 (.f64 z y))
✓	40.5b	(.f64 -6 (.f64 z (-.f64 y x)))
	12.2b	(+.f64 (.f64 -3 x) (.f64 6 (*.f64 y (-.f64 2/3 z))))
▶	30.8b	(.f64 (+.f64 4 (.f64 -6 z)) y)
▶	0.4b	(fma.f64 (fma.f64 (-.f64 y x) 2/3 (*.f64 (-.f64 y x) (neg.f64 z))) 6 x)
	40.5b	(.f64 (-.f64 x y) (.f64 z 6))
	62.3b	x
	23.1b	(+.f64 (*.f64 4 (-.f64 y x)) x)
	12.1b	(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (*.f64 4 y))
✓	40.9b	(+.f64 x (.f64 -6 (.f64 z (-.f64 y x))))
	30.9b	(.f64 6 (.f64 y (-.f64 2/3 z)))
	23.1b	(fma.f64 x -3 (*.f64 y 4))

Compiler

Compiled 596 to 442 computations (25.8% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 44 to 14 computations (68.2% saved)

series12.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`prod-diff_binary64`
488×	`log-prod_binary64`
322×	`pow-prod-down_binary64`
282×	`pow2_binary64`
227×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	238	31
2	3079	31

Stop Event

1×	node limit

Counts

3 → 176

Calls

Call 1

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

Outputs

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

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

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

simplify357.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

5364×	`fma-neg_binary64`
555×	`sub-neg_binary64`
489×	`fma-def_binary64`
428×	`unsub-neg_binary64`
337×	`associate--r+_binary64`

Iterations

Useful iterations: 16 (0.0ms)

Iter	Nodes	Cost
0	65	1490
1	203	1376
2	632	1094
3	1821	976
4	3487	976
5	6054	976
6	7164	976
7	7425	976
8	7447	976
9	7451	976
10	7452	976
11	7498	976
12	7498	976
13	7498	976
14	7505	976
15	7811	976
16	7811	973

Stop Event

1×	node limit

Counts

284 → 217

Calls

Call 1

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

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

localize5.0ms (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)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

localize9.0ms (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)

series4.0ms (0%)

Counts

2 → 15

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (+.f64 4 (.f64 -6 z)) y)
1.0ms	y	@	0	(.f64 (+.f64 4 (.f64 -6 z)) y)
1.0ms	z	@	inf	(.f64 (+.f64 4 (.f64 -6 z)) y)
0.0ms	y	@	inf	(.f64 (+.f64 4 (.f64 -6 z)) y)
0.0ms	y	@	-inf	(.f64 (+.f64 4 (.f64 -6 z)) y)

rewrite60.0ms (0.4%)

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)))))

simplify10.0ms (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)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 20 computations (33.3% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

527×	`log-prod_binary64`
400×	`exp-prod_binary64`
342×	`pow-prod-down_binary64`
299×	`fma-def_binary64`
296×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	223	21
2	3004	21

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

592×	`fma-neg_binary64`
527×	`fma-def_binary64`
207×	`cancel-sign-sub-inv_binary64`
100×	`distribute-rgt-in_binary64`
63×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	577
1	41	577
2	85	577
3	178	475
4	303	475
5	410	475
6	606	475
7	887	475
8	1412	475
9	1748	475
10	2141	475
11	2426	475
12	2464	475
13	2464	475

Stop Event

1×

saturated

Counts

162 → 116

Calls

Call 1

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

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

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
✓	0.2b	(.f64 6 (/.f64 (.f64 (-.f64 4/9 (*.f64 z z)) y) (+.f64 2/3 z)))
✓	3.8b	(.f64 (-.f64 4/9 (.f64 z z)) y)
✓	5.5b	(/.f64 (.f64 (-.f64 4/9 (.f64 z z)) y) (+.f64 2/3 z))

Compiler

Compiled 100 to 65 computations (35% saved)

series15.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(.f64 (-.f64 4/9 (.f64 z z)) y)
1.0ms	y	@	0	(/.f64 (.f64 (-.f64 4/9 (.f64 z z)) y) (+.f64 2/3 z))
1.0ms	z	@	inf	(/.f64 (.f64 (-.f64 4/9 (.f64 z z)) y) (+.f64 2/3 z))
1.0ms	y	@	inf	(.f64 6 (/.f64 (.f64 (-.f64 4/9 (*.f64 z z)) y) (+.f64 2/3 z)))
1.0ms	z	@	0	(/.f64 (.f64 (-.f64 4/9 (.f64 z z)) y) (+.f64 2/3 z))

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`log-prod_binary64`
345×	`pow2_binary64`
239×	`pow1/3_binary64`
237×	`expm1-udef_binary64`
237×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	273	27
2	3709	27

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 4/9 (*.f64 z z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 4/9 y) (*.f64 (*.f64 z (neg.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 4/9) (*.f64 y (*.f64 z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 4/9 (*.f64 z z))) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 4/9 (*.f64 z z))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 4/9 (*.f64 z z))) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 4/9 (*.f64 z z))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 4/9 (*.f64 z z)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 64/729 (pow.f64 z 6)) y) (fma.f64 (*.f64 z z) (fma.f64 z z 4/9) 16/81))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16/81 (pow.f64 z 4)) y) (fma.f64 z z 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 64/729 (pow.f64 z 6))) (fma.f64 (*.f64 z z) (fma.f64 z z 4/9) 16/81))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 16/81 (pow.f64 z 4))) (fma.f64 z z 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 4/9 (*.f64 z z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 4/9 (*.f64 z z)) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 4/9 (*.f64 z z)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 4/9 (*.f64 z z)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 4/9 (*.f64 z z)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 4/9 (*.f64 z z)) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 4/9 (*.f64 z z)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 4/9 (*.f64 z z)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 4/9 (*.f64 z z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 4/9 (*.f64 z z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 4/9 (*.f64 z z)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 4/9 (*.f64 z z)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 4/9 (*.f64 z z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 4/9 (*.f64 z z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 4/9 (*.f64 z z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 4/9 (*.f64 z z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 4/9 (*.f64 z z)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4/9 y (*.f64 (*.f64 z (neg.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 4/9 (*.f64 y (*.f64 z (neg.f64 z))))))))

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

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

758×	`fma-neg_binary64`
624×	`associate-r_binary64`
603×	`associate-/l*_binary64`
344×	`associate-/r*_binary64`
308×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	947
1	62	875
2	133	839
3	311	821
4	941	797
5	2860	797
6	6207	797

Stop Event

1×	node limit

Counts

182 → 132

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

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

eval383.0ms (2.8%)

Compiler: Compiled 13295 to 7679 computations (42.2% saved)

prune114.0ms (0.8%)

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	626	6	632
Fresh	2	15	17
Picked	1	0	1
Done	1	6	7
Total	630	27	657

Error

Counts

657 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	33.1b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
✓	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
	33.0b	(+.f64 x (.f64 (.f64 -6 x) (-.f64 2/3 z)))
	33.3b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
▶	10.0b	(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 (-.f64 2/3 z) 2))) x) (+.f64 1 (.f64 6 (-.f64 2/3 z)))) (.f64 6 (*.f64 y (-.f64 2/3 z))))
	51.4b	(.f64 z (.f64 6 x))
	48.8b	(.f64 -6 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) z) (+.f64 y x)))
▶	52.0b	(.f64 (.f64 -6 z) y)
✓	31.3b	(+.f64 x (.f64 (.f64 6 y) (-.f64 2/3 z)))
	51.4b	(.f64 6 (.f64 z x))
	30.9b	(.f64 6 (.f64 y (-.f64 2/3 z)))
	33.1b	(fma.f64 (*.f64 (-.f64 z 2/3) x) 6 x)
▶	24.0b	(+.f64 (.f64 (.f64 (-.f64 y x) (+.f64 2/3 z)) 6) x)
✓	52.0b	(.f64 -6 (.f64 z y))
✓	40.5b	(.f64 -6 (.f64 z (-.f64 y x)))
	12.2b	(+.f64 (.f64 -3 x) (.f64 6 (*.f64 y (-.f64 2/3 z))))
✓	30.8b	(.f64 (+.f64 4 (.f64 -6 z)) y)
	40.5b	(.f64 (-.f64 x y) (.f64 z 6))
	62.3b	x
	52.0b	(.f64 z (.f64 -6 y))
	23.1b	(+.f64 (*.f64 4 (-.f64 y x)) x)
▶	33.0b	(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
▶	41.9b	(*.f64 4 y)
✓	40.9b	(+.f64 x (.f64 -6 (.f64 z (-.f64 y x))))
	23.1b	(fma.f64 x -3 (*.f64 y 4))
	34.7b	(/.f64 (.f64 (-.f64 16 (.f64 36 (.f64 z z))) y) (+.f64 4 (.f64 6 z)))
	12.3b	(fma.f64 (fma.f64 (-.f64 y x) 2/3 (*.f64 z x)) 6 x)

Compiler

Compiled 568 to 421 computations (25.9% saved)

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 y (-.f64 2/3 z))
	0.2b	(.f64 6 (.f64 y (-.f64 2/3 z)))
✓	3.1b	(.f64 (-.f64 1 (.f64 36 (pow.f64 (-.f64 2/3 z) 2))) x)
✓	6.4b	(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 (-.f64 2/3 z) 2))) x) (+.f64 1 (*.f64 6 (-.f64 2/3 z))))

Compiler

Compiled 116 to 93 computations (19.8% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 (-.f64 2/3 z) 2))) x) (+.f64 1 (*.f64 6 (-.f64 2/3 z))))
1.0ms	z	@	0	(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 (-.f64 2/3 z) 2))) x) (+.f64 1 (*.f64 6 (-.f64 2/3 z))))
1.0ms	z	@	inf	(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 (-.f64 2/3 z) 2))) x) (+.f64 1 (*.f64 6 (-.f64 2/3 z))))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 (-.f64 2/3 z) 2))) x) (+.f64 1 (*.f64 6 (-.f64 2/3 z))))
1.0ms	z	@	-inf	(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 (-.f64 2/3 z) 2))) x) (+.f64 1 (*.f64 6 (-.f64 2/3 z))))

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`log-prod_binary64`
464×	`fma-def_binary64`
288×	`expm1-udef_binary64`
287×	`log1p-udef_binary64`
225×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	358	29
2	4686	27

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (pow.f64 (-.f64 2/3 z) 2) -36) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 (pow.f64 (-.f64 2/3 z) 2) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 46656 (pow.f64 (pow.f64 (-.f64 2/3 z) 2) 3))) x) (+.f64 1 (fma.f64 36 (pow.f64 (-.f64 2/3 z) 2) (*.f64 1296 (pow.f64 (-.f64 2/3 z) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 1296 (pow.f64 (-.f64 2/3 z) 4))) x) (fma.f64 36 (pow.f64 (-.f64 2/3 z) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 46656 (pow.f64 (pow.f64 (-.f64 2/3 z) 2) 3)))) (+.f64 1 (fma.f64 36 (pow.f64 (-.f64 2/3 z) 2) (*.f64 1296 (pow.f64 (-.f64 2/3 z) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 1296 (pow.f64 (-.f64 2/3 z) 4)))) (fma.f64 36 (pow.f64 (-.f64 2/3 z) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 2/3 z) 2) -36 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (*.f64 (pow.f64 (-.f64 2/3 z) 2) -36) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (*.f64 (pow.f64 (-.f64 2/3 z) 2) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (*.f64 (pow.f64 (-.f64 2/3 z) 2) -36) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (*.f64 (pow.f64 (-.f64 2/3 z) 2) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (pow.f64 (-.f64 2/3 z) 2) -36) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 (pow.f64 (-.f64 2/3 z) 2) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 (pow.f64 (-.f64 2/3 z) 2) -36) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (*.f64 (pow.f64 (-.f64 2/3 z) 2) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (pow.f64 (-.f64 2/3 z) 2) -36) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 (pow.f64 (-.f64 2/3 z) 2) -36)))))))

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

765×	`fma-neg_binary64`
632×	`times-frac_binary64`
459×	`fma-def_binary64`
327×	`distribute-rgt-in_binary64`
263×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	312
1	267	303
2	893	262
3	4478	262

Stop Event

1×	node limit

Counts

107 → 105

Calls

Call 1

Inputs
(*.f64 -3 x)
(+.f64 (.f64 (-.f64 (.f64 48/5 x) (.f64 18/5 x)) z) (.f64 -3 x))
(+.f64 (.f64 (-.f64 (.f64 48/5 x) (.f64 18/5 x)) z) (+.f64 (.f64 -3 x) (.f64 (-.f64 (.f64 -36/5 x) (.f64 -6/5 (-.f64 (.f64 48/5 x) (*.f64 18/5 x)))) (pow.f64 z 2))))
(+.f64 (.f64 (-.f64 (.f64 48/5 x) (.f64 18/5 x)) z) (+.f64 (.f64 -3 x) (+.f64 (.f64 6/5 (.f64 (-.f64 (.f64 -36/5 x) (.f64 -6/5 (-.f64 (.f64 48/5 x) (.f64 18/5 x)))) (pow.f64 z 3))) (.f64 (-.f64 (.f64 -36/5 x) (.f64 -6/5 (-.f64 (.f64 48/5 x) (*.f64 18/5 x)))) (pow.f64 z 2)))))
(.f64 6 (.f64 z x))
(-.f64 (+.f64 (.f64 -8 x) (.f64 6 (.f64 z x))) (.f64 -5 x))
(-.f64 (+.f64 (.f64 -8 x) (+.f64 (.f64 6 (.f64 z x)) (.f64 5/2 (/.f64 x z)))) (+.f64 (.f64 -5 x) (.f64 -5/6 (/.f64 (-.f64 (.f64 -8 x) (.f64 -5 x)) z))))
(-.f64 (+.f64 (.f64 -8 x) (+.f64 (.f64 5/6 (/.f64 (-.f64 (.f64 5/2 x) (.f64 -5/6 (-.f64 (.f64 -8 x) (.f64 -5 x)))) (pow.f64 z 2))) (+.f64 (.f64 6 (.f64 z x)) (.f64 5/2 (/.f64 x z))))) (+.f64 (.f64 -5 x) (.f64 -5/6 (/.f64 (-.f64 (.f64 -8 x) (*.f64 -5 x)) z))))
(.f64 6 (.f64 z x))
(-.f64 (+.f64 (.f64 -8 x) (.f64 6 (.f64 z x))) (.f64 -5 x))
(-.f64 (+.f64 (.f64 -8 x) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -5/2 x) (.f64 5/6 (-.f64 (.f64 -8 x) (.f64 -5 x)))) z)) (.f64 6 (.f64 z x)))) (*.f64 -5 x))
(-.f64 (+.f64 (.f64 -8 x) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -5/2 x) (.f64 5/6 (-.f64 (.f64 -8 x) (.f64 -5 x)))) z)) (+.f64 (.f64 6 (.f64 z x)) (.f64 -5/6 (/.f64 (-.f64 (.f64 -5/2 x) (.f64 5/6 (-.f64 (.f64 -8 x) (.f64 -5 x)))) (pow.f64 z 2)))))) (.f64 -5 x))
(*.f64 -15 x)
(+.f64 (.f64 48 (.f64 z x)) (*.f64 -15 x))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 48 (.f64 z x)) (*.f64 -15 x)))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 48 (.f64 z x)) (*.f64 -15 x)))
(.f64 -36 (.f64 (pow.f64 z 2) x))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) (.f64 48 (.f64 z x)))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 48 (.f64 z x)) (*.f64 -15 x)))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 48 (.f64 z x)) (*.f64 -15 x)))
(.f64 -36 (.f64 (pow.f64 z 2) x))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) (.f64 48 (.f64 z x)))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 48 (.f64 z x)) (*.f64 -15 x)))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 48 (.f64 z x)) (*.f64 -15 x)))

Outputs
(*.f64 -3 x)
(+.f64 (.f64 (-.f64 (.f64 48/5 x) (.f64 18/5 x)) z) (.f64 -3 x))
(fma.f64 (.f64 x 6) z (.f64 -3 x))
(fma.f64 -3 x (.f64 x (.f64 z 6)))
(.f64 x (+.f64 -3 (.f64 z 6)))
(+.f64 (.f64 (-.f64 (.f64 48/5 x) (.f64 18/5 x)) z) (+.f64 (.f64 -3 x) (.f64 (-.f64 (.f64 -36/5 x) (.f64 -6/5 (-.f64 (.f64 48/5 x) (*.f64 18/5 x)))) (pow.f64 z 2))))
(fma.f64 (.f64 x 6) z (.f64 -3 x))
(fma.f64 -3 x (.f64 x (.f64 z 6)))
(.f64 x (+.f64 -3 (.f64 z 6)))
(+.f64 (.f64 (-.f64 (.f64 48/5 x) (.f64 18/5 x)) z) (+.f64 (.f64 -3 x) (+.f64 (.f64 6/5 (.f64 (-.f64 (.f64 -36/5 x) (.f64 -6/5 (-.f64 (.f64 48/5 x) (.f64 18/5 x)))) (pow.f64 z 3))) (.f64 (-.f64 (.f64 -36/5 x) (.f64 -6/5 (-.f64 (.f64 48/5 x) (*.f64 18/5 x)))) (pow.f64 z 2)))))
(fma.f64 (.f64 x 6) z (.f64 -3 x))
(fma.f64 -3 x (.f64 x (.f64 z 6)))
(.f64 x (+.f64 -3 (.f64 z 6)))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 x z))
(.f64 x (.f64 z 6))
(-.f64 (+.f64 (.f64 -8 x) (.f64 6 (.f64 z x))) (.f64 -5 x))
(fma.f64 (.f64 x 6) z (.f64 -3 x))
(fma.f64 -3 x (.f64 x (.f64 z 6)))
(.f64 x (+.f64 -3 (.f64 z 6)))
(-.f64 (+.f64 (.f64 -8 x) (+.f64 (.f64 6 (.f64 z x)) (.f64 5/2 (/.f64 x z)))) (+.f64 (.f64 -5 x) (.f64 -5/6 (/.f64 (-.f64 (.f64 -8 x) (.f64 -5 x)) z))))
(fma.f64 (.f64 x 6) z (.f64 -3 x))
(fma.f64 -3 x (.f64 x (.f64 z 6)))
(.f64 x (+.f64 -3 (.f64 z 6)))
(-.f64 (+.f64 (.f64 -8 x) (+.f64 (.f64 5/6 (/.f64 (-.f64 (.f64 5/2 x) (.f64 -5/6 (-.f64 (.f64 -8 x) (.f64 -5 x)))) (pow.f64 z 2))) (+.f64 (.f64 6 (.f64 z x)) (.f64 5/2 (/.f64 x z))))) (+.f64 (.f64 -5 x) (.f64 -5/6 (/.f64 (-.f64 (.f64 -8 x) (*.f64 -5 x)) z))))
(fma.f64 (.f64 x 6) z (.f64 -3 x))
(fma.f64 -3 x (.f64 x (.f64 z 6)))
(.f64 x (+.f64 -3 (.f64 z 6)))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 x z))
(.f64 x (.f64 z 6))
(-.f64 (+.f64 (.f64 -8 x) (.f64 6 (.f64 z x))) (.f64 -5 x))
(fma.f64 (.f64 x 6) z (.f64 -3 x))
(fma.f64 -3 x (.f64 x (.f64 z 6)))
(.f64 x (+.f64 -3 (.f64 z 6)))
(-.f64 (+.f64 (.f64 -8 x) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -5/2 x) (.f64 5/6 (-.f64 (.f64 -8 x) (.f64 -5 x)))) z)) (.f64 6 (.f64 z x)))) (*.f64 -5 x))
(fma.f64 (.f64 x 6) z (.f64 -3 x))
(fma.f64 -3 x (.f64 x (.f64 z 6)))
(.f64 x (+.f64 -3 (.f64 z 6)))
(-.f64 (+.f64 (.f64 -8 x) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -5/2 x) (.f64 5/6 (-.f64 (.f64 -8 x) (.f64 -5 x)))) z)) (+.f64 (.f64 6 (.f64 z x)) (.f64 -5/6 (/.f64 (-.f64 (.f64 -5/2 x) (.f64 5/6 (-.f64 (.f64 -8 x) (.f64 -5 x)))) (pow.f64 z 2)))))) (.f64 -5 x))
(fma.f64 (.f64 x 6) z (.f64 -3 x))
(fma.f64 -3 x (.f64 x (.f64 z 6)))
(.f64 x (+.f64 -3 (.f64 z 6)))
(*.f64 -15 x)
(*.f64 x -15)
(+.f64 (.f64 48 (.f64 z x)) (*.f64 -15 x))
(fma.f64 48 (.f64 x z) (.f64 x -15))
(.f64 x (+.f64 (.f64 z 48) -15))
(*.f64 x (fma.f64 z 48 -15))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 48 (.f64 z x)) (*.f64 -15 x)))
(fma.f64 -36 (.f64 x (.f64 z z)) (fma.f64 48 (.f64 x z) (.f64 x -15)))
(fma.f64 -36 (.f64 x (.f64 z z)) (.f64 x (+.f64 (.f64 z 48) -15)))
(.f64 x (+.f64 -15 (.f64 z (+.f64 (*.f64 z -36) 48))))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 48 (.f64 z x)) (*.f64 -15 x)))
(fma.f64 -36 (.f64 x (.f64 z z)) (fma.f64 48 (.f64 x z) (.f64 x -15)))
(fma.f64 -36 (.f64 x (.f64 z z)) (.f64 x (+.f64 (.f64 z 48) -15)))
(.f64 x (+.f64 -15 (.f64 z (+.f64 (*.f64 z -36) 48))))
(.f64 -36 (.f64 (pow.f64 z 2) x))
(.f64 -36 (.f64 x (*.f64 z z)))
(.f64 x (.f64 (*.f64 z z) -36))
(.f64 (.f64 x z) (*.f64 z -36))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) (.f64 48 (.f64 z x)))
(fma.f64 -36 (.f64 x (.f64 z z)) (.f64 (.f64 x z) 48))
(.f64 x (+.f64 (.f64 z 48) (.f64 (.f64 z z) -36)))
(.f64 x (.f64 z (+.f64 (*.f64 z -36) 48)))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 48 (.f64 z x)) (*.f64 -15 x)))
(fma.f64 -36 (.f64 x (.f64 z z)) (fma.f64 48 (.f64 x z) (.f64 x -15)))
(fma.f64 -36 (.f64 x (.f64 z z)) (.f64 x (+.f64 (.f64 z 48) -15)))
(.f64 x (+.f64 -15 (.f64 z (+.f64 (*.f64 z -36) 48))))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 48 (.f64 z x)) (*.f64 -15 x)))
(fma.f64 -36 (.f64 x (.f64 z z)) (fma.f64 48 (.f64 x z) (.f64 x -15)))
(fma.f64 -36 (.f64 x (.f64 z z)) (.f64 x (+.f64 (.f64 z 48) -15)))
(.f64 x (+.f64 -15 (.f64 z (+.f64 (*.f64 z -36) 48))))
(.f64 -36 (.f64 (pow.f64 z 2) x))
(.f64 -36 (.f64 x (*.f64 z z)))
(.f64 x (.f64 (*.f64 z z) -36))
(.f64 (.f64 x z) (*.f64 z -36))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) (.f64 48 (.f64 z x)))
(fma.f64 -36 (.f64 x (.f64 z z)) (.f64 (.f64 x z) 48))
(.f64 x (+.f64 (.f64 z 48) (.f64 (.f64 z z) -36)))
(.f64 x (.f64 z (+.f64 (*.f64 z -36) 48)))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 48 (.f64 z x)) (*.f64 -15 x)))
(fma.f64 -36 (.f64 x (.f64 z z)) (fma.f64 48 (.f64 x z) (.f64 x -15)))
(fma.f64 -36 (.f64 x (.f64 z z)) (.f64 x (+.f64 (.f64 z 48) -15)))
(.f64 x (+.f64 -15 (.f64 z (+.f64 (*.f64 z -36) 48))))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) (+.f64 (.f64 48 (.f64 z x)) (*.f64 -15 x)))
(fma.f64 -36 (.f64 x (.f64 z z)) (fma.f64 48 (.f64 x z) (.f64 x -15)))
(fma.f64 -36 (.f64 x (.f64 z z)) (.f64 x (+.f64 (.f64 z 48) -15)))
(.f64 x (+.f64 -15 (.f64 z (+.f64 (*.f64 z -36) 48))))

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
✓	0.2b	(.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	y	@	-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	z	@	-inf	(.f64 (.f64 -6 z) y)

rewrite52.0ms (0.4%)

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))))))))

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))

localize12.0ms (0.1%)

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)

series4.0ms (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	@	0	(.f64 (+.f64 3 (.f64 -6 z)) x)
0.0ms	x	@	inf	(.f64 (+.f64 3 (.f64 -6 z)) x)
0.0ms	x	@	-inf	(.f64 (+.f64 3 (.f64 -6 z)) x)
0.0ms	z	@	inf	(.f64 (+.f64 3 (.f64 -6 z)) x)

rewrite112.0ms (0.8%)

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)))))

simplify19.0ms (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)

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 41 to 22 computations (46.3% saved)

series20.0ms (0.1%)

Counts

4 → 111

Calls

30 calls:

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

rewrite130.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`log-prod_binary64`
471×	`fma-def_binary64`
349×	`pow2_binary64`
246×	`fma-neg_binary64`
241×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	259	41
2	3800	41

Stop Event

1×	node limit

Counts

4 → 192

Calls

Call 1

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

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

simplify490.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

5418×	`fma-def_binary64`
549×	`unsub-neg_binary64`
381×	`distribute-rgt-in_binary64`
366×	`fma-neg_binary64`
363×	`associate--r-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	1789
1	131	1759
2	328	1384
3	878	1108
4	2155	1108
5	3893	1108
6	5387	1108
7	6215	1108
8	6431	1108
9	6461	1108
10	6461	1108
11	6461	1108
12	6461	1108
13	6461	1108
14	7070	1108
15	7126	1108
16	7126	1108

Stop Event

1×	node limit

Counts

303 → 230

Calls

Call 1

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

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

eval533.0ms (3.8%)

Compiler: Compiled 9944 to 6983 computations (29.8% saved)

prune111.0ms (0.8%)

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	463	7	470
Fresh	6	10	16
Picked	1	0	1
Done	2	8	10
Total	472	25	497

Error

Counts

497 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	39.4b	(.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (*.f64 6 z))))
	52.0b	(.f64 z (.f64 -6 y))
	33.1b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
✓	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
	33.0b	(+.f64 x (.f64 (.f64 -6 x) (-.f64 2/3 z)))
	12.1b	(+.f64 (/.f64 (.f64 x -15) (+.f64 1 (.f64 6 (-.f64 2/3 z)))) (.f64 6 (.f64 y (-.f64 2/3 z))))
	51.4b	(.f64 z (.f64 6 x))
	48.8b	(.f64 -6 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) z) (+.f64 y x)))
✓	52.0b	(.f64 (.f64 -6 z) y)
✓	31.3b	(+.f64 x (.f64 (.f64 6 y) (-.f64 2/3 z)))
	51.4b	(.f64 6 (.f64 z x))
	23.1b	(+.f64 (*.f64 (-.f64 y x) 4) x)
✓	41.9b	(*.f64 4 y)
	30.9b	(.f64 6 (.f64 y (-.f64 2/3 z)))
	44.0b	(.f64 -1 (.f64 3 x))
	40.5b	(.f64 (-.f64 x y) (.f64 z 6))
	62.3b	x
	12.2b	(+.f64 (.f64 -3 x) (.f64 6 (*.f64 y (-.f64 2/3 z))))
✓	33.0b	(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
✓	40.9b	(+.f64 x (.f64 -6 (.f64 z (-.f64 y x))))
✓	40.5b	(.f64 -6 (.f64 z (-.f64 y x)))
	44.8b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (-.f64 y x) (.f64 (+.f64 2/3 z) 6)))
✓	30.8b	(.f64 (+.f64 4 (.f64 -6 z)) y)
	34.7b	(/.f64 (.f64 (-.f64 16 (.f64 36 (.f64 z z))) y) (+.f64 4 (.f64 6 z)))
	23.3b	(+.f64 (.f64 (.f64 (-.f64 y x) 2/3) 6) x)

Compiler

Compiled 295 to 221 computations (25.1% saved)

regimes184.0ms (1.3%)

Counts

53 → 1

Calls

Call 1

Inputs
x
(*.f64 4 y)
(.f64 -1 (.f64 3 x))
(.f64 (.f64 -6 z) y)
(.f64 z (.f64 -6 y))
(.f64 z (.f64 6 x))
(.f64 6 (.f64 z x))
(.f64 -6 (.f64 z y))
(+.f64 (*.f64 (-.f64 y x) 4) x)
(.f64 (-.f64 x y) (.f64 z 6))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 -6 (.f64 z (-.f64 y x)))
(.f64 (+.f64 4 (.f64 -6 z)) y)
(+.f64 (.f64 (.f64 (-.f64 y x) 2/3) 6) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(+.f64 x (.f64 (.f64 -6 x) (-.f64 2/3 z)))
(+.f64 x (.f64 (.f64 6 y) (-.f64 2/3 z)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
(+.f64 x (.f64 -6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 (.f64 (-.f64 y x) (+.f64 2/3 z)) 6) x)
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 y (-.f64 2/3 z))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (*.f64 4 y))
(+.f64 x (+.f64 0 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))
(+.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 -6 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) z) (+.f64 y x)))
(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (-.f64 (/.f64 2 3) z)))
(.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (*.f64 6 z))))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (/.f64 (.f64 x -15) (+.f64 1 (.f64 6 (-.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 (.f64 (-.f64 4/9 (*.f64 z z)) y) (+.f64 2/3 z))))
(fma.f64 x -3 (*.f64 y 4))
(fma.f64 (*.f64 (-.f64 z 2/3) x) 6 x)
(fma.f64 (*.f64 (-.f64 x y) -2/3) 6 x)
(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
(+.f64 x (.f64 (fma.f64 y 6 (.f64 (neg.f64 x) 6)) (-.f64 (/.f64 2 3) z)))
(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 (-.f64 2/3 z) 2))) x) (+.f64 1 (.f64 6 (-.f64 2/3 z)))) (.f64 6 (*.f64 y (-.f64 2/3 z))))
(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
(fma.f64 (fma.f64 (-.f64 y x) 2/3 (*.f64 z x)) 6 x)
(fma.f64 (fma.f64 (-.f64 y x) 2/3 (*.f64 (-.f64 y x) (neg.f64 z))) 6 x)
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (cbrt.f64 (pow.f64 (-.f64 2/3 z) 3))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (-.f64 y x) (.f64 (+.f64 2/3 z) 6)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))))
(fma.f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (.f64 6 (-.f64 2/3 z))) x)
(fma.f64 (.f64 (.f64 (-.f64 y x) 6) (sqrt.f64 (-.f64 2/3 z))) (sqrt.f64 (-.f64 2/3 z)) x)

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

Calls

6 calls:

51.0ms	y
32.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
27.0ms	z
27.0ms	x
14.0ms	(-.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 612 to 385 computations (37.1% saved)

regimes235.0ms (1.7%)

Counts

44 → 1

Calls

Call 1

Inputs
x
(*.f64 4 y)
(.f64 -1 (.f64 3 x))
(.f64 (.f64 -6 z) y)
(.f64 z (.f64 -6 y))
(.f64 z (.f64 6 x))
(.f64 6 (.f64 z x))
(.f64 -6 (.f64 z y))
(+.f64 (*.f64 (-.f64 y x) 4) x)
(.f64 (-.f64 x y) (.f64 z 6))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 -6 (.f64 z (-.f64 y x)))
(.f64 (+.f64 4 (.f64 -6 z)) y)
(+.f64 (.f64 (.f64 (-.f64 y x) 2/3) 6) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(+.f64 x (.f64 (.f64 -6 x) (-.f64 2/3 z)))
(+.f64 x (.f64 (.f64 6 y) (-.f64 2/3 z)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
(+.f64 x (.f64 -6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 (.f64 (-.f64 y x) (+.f64 2/3 z)) 6) x)
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 y (-.f64 2/3 z))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (*.f64 4 y))
(+.f64 x (+.f64 0 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))
(+.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 -6 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) z) (+.f64 y x)))
(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (-.f64 (/.f64 2 3) z)))
(.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (*.f64 6 z))))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (/.f64 (.f64 x -15) (+.f64 1 (.f64 6 (-.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 (.f64 (-.f64 4/9 (*.f64 z z)) y) (+.f64 2/3 z))))
(fma.f64 x -3 (*.f64 y 4))
(fma.f64 (*.f64 (-.f64 z 2/3) x) 6 x)
(fma.f64 (*.f64 (-.f64 x y) -2/3) 6 x)
(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
(+.f64 x (.f64 (fma.f64 y 6 (.f64 (neg.f64 x) 6)) (-.f64 (/.f64 2 3) z)))
(+.f64 (/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 (-.f64 2/3 z) 2))) x) (+.f64 1 (.f64 6 (-.f64 2/3 z)))) (.f64 6 (*.f64 y (-.f64 2/3 z))))

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

Calls

6 calls:

59.0ms	y
54.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
24.0ms	x
20.0ms	z
13.0ms	(-.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)`
0.3b	1	`(-.f64 (/.f64 2 3) z)`

Compiler

Compiled 490 to 327 computations (33.3% saved)

regimes150.0ms (1.1%)

Counts

35 → 1

Calls

Call 1

Inputs
x
(*.f64 4 y)
(.f64 -1 (.f64 3 x))
(.f64 (.f64 -6 z) y)
(.f64 z (.f64 -6 y))
(.f64 z (.f64 6 x))
(.f64 6 (.f64 z x))
(.f64 -6 (.f64 z y))
(+.f64 (*.f64 (-.f64 y x) 4) x)
(.f64 (-.f64 x y) (.f64 z 6))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 6 (.f64 y (-.f64 2/3 z)))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 -6 (.f64 z (-.f64 y x)))
(.f64 (+.f64 4 (.f64 -6 z)) y)
(+.f64 (.f64 (.f64 (-.f64 y x) 2/3) 6) x)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(+.f64 x (.f64 (.f64 -6 x) (-.f64 2/3 z)))
(+.f64 x (.f64 (.f64 6 y) (-.f64 2/3 z)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
(+.f64 x (.f64 -6 (.f64 z (-.f64 y x))))
(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 (.f64 (-.f64 y x) (+.f64 2/3 z)) 6) x)
(+.f64 (.f64 -3 x) (.f64 6 (*.f64 y (-.f64 2/3 z))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (*.f64 4 y))
(+.f64 x (+.f64 0 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))
(+.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 -6 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) z) (+.f64 y x)))
(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (-.f64 (/.f64 2 3) z)))
(.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (*.f64 6 z))))

Outputs
(+.f64 x (+.f64 0 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))

Calls

6 calls:

48.0ms	z
30.0ms	(-.f64 (/.f64 2 3) z)
19.0ms	y
18.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
17.0ms	x

Results

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

Compiler

Compiled 357 to 232 computations (35% saved)

regimes115.0ms (0.8%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

52.0ms	x
38.0ms	z
17.0ms	y

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`y`
0.4b	1	`z`

Compiler

Compiled 237 to 148 computations (37.6% saved)

regimes313.0ms (2.3%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

3 calls:

152.0ms	x
115.0ms	y
39.0ms	z

Results

Error	Segments	Branch
9.4b	2	`x`
7.7b	5	`y`
0.9b	3	`z`

Compiler

Compiled 213 to 132 computations (38% saved)

bsearch42.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	717315.7439188524	1375880245.435243
20.0ms	-598726434163.7137	-22009204.077657487

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes342.0ms (2.5%)

Counts

24 → 3

Calls

Call 1

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

Calls

3 calls:

146.0ms	y
137.0ms	x
52.0ms	z

Results

Error	Segments	Branch
11.2b	5	`x`
14.2b	7	`y`
2.0b	3	`z`

Compiler

Compiled 180 to 110 computations (38.9% saved)

bsearch63.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	0.011881861933520465	4100.510569747524
25.0ms	-232907.12960139074	-0.0002542958208316335

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes464.0ms (3.3%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

3 calls:

273.0ms	x
148.0ms	y
36.0ms	z

Results

Error	Segments	Branch
11.2b	5	`x`
14.2b	7	`y`
2.0b	3	`z`

Compiler

Compiled 170 to 105 computations (38.2% saved)

bsearch97.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	0.011881861933520465	4100.510569747524
58.0ms	-232907.12960139074	-0.0002542958208316335

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes277.0ms (2%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

3 calls:

184.0ms	y
45.0ms	z
42.0ms	x

Results

Error	Segments	Branch
14.0b	5	`x`
17.9b	8	`y`
2.0b	3	`z`

Compiler

Compiled 84 to 52 computations (38.1% saved)

bsearch52.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	0.011881861933520465	4100.510569747524
28.0ms	-232907.12960139074	-0.0002542958208316335

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes61.0ms (0.4%)

Counts

9 → 5

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	z
21.0ms	x
8.0ms	y

Results

Error	Segments	Branch
22.0b	3	`x`
23.1b	1	`y`
10.0b	5	`z`

Compiler

Compiled 56 to 37 computations (33.9% saved)

bsearch87.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	4.7281200606772665e+190	1.6935662430159388e+193
21.0ms	0.011881861933520465	4100.510569747524
21.0ms	-232907.12960139074	-0.0002542958208316335
22.0ms	-1.2383895444300558e+26	-1.8802584549198166e+25

Compiler

Compiled 166 to 129 computations (22.3% saved)

regimes135.0ms (1%)

Counts

8 → 9

Calls

Call 1

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

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

Calls

3 calls:

48.0ms	x
45.0ms	z
39.0ms	y

Results

Error	Segments	Branch
27.3b	9	`x`
31.3b	8	`y`
25.2b	9	`z`

Compiler

Compiled 49 to 33 computations (32.7% saved)

bsearch222.0ms (1.6%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
26.0ms	4.7281200606772665e+190	1.6935662430159388e+193
20.0ms	0.011881861933520465	4100.510569747524
20.0ms	9.613897233162174e-68	2.8092744947355103e-66
29.0ms	8.766806990476859e-147	8.353093254454095e-145
24.0ms	-6.46212628449796e-302	-3.3702244848160224e-302
54.0ms	-7.528080747597161e-268	-2.0155082332506005e-268
27.0ms	-0.0002542958208316335	-2.0029803158920072e-15
22.0ms	-1.2383895444300558e+26	-1.8802584549198166e+25

Compiler

Compiled 166 to 129 computations (22.3% saved)

regimes91.0ms (0.7%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

3 calls:

41.0ms	y
28.0ms	z
20.0ms	x

Results

Error	Segments	Branch
29.4b	5	`x`
33.6b	3	`y`
28.5b	7	`z`

Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch168.0ms (1.2%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
23.0ms	0.011881861933520465	4100.510569747524
21.0ms	9.613897233162174e-68	2.8092744947355103e-66
26.0ms	8.766806990476859e-147	8.353093254454095e-145
41.0ms	-6.46212628449796e-302	-3.3702244848160224e-302
24.0ms	-7.528080747597161e-268	-2.0155082332506005e-268
33.0ms	-0.0002542958208316335	-2.0029803158920072e-15

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes77.0ms (0.6%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	z
22.0ms	x
11.0ms	y

Results

Error	Segments	Branch
29.4b	5	`x`
33.6b	3	`y`
28.5b	7	`z`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch159.0ms (1.1%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
21.0ms	0.011881861933520465	4100.510569747524
21.0ms	9.613897233162174e-68	2.8092744947355103e-66
27.0ms	8.766806990476859e-147	8.353093254454095e-145
26.0ms	-6.46212628449796e-302	-3.3702244848160224e-302
27.0ms	-7.528080747597161e-268	-2.0155082332506005e-268
37.0ms	-0.0002542958208316335	-2.0029803158920072e-15

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes103.0ms (0.7%)

Counts

3 → 3

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 3 x))
(*.f64 4 y)
(.f64 -1 (.f64 3 x))

Calls

3 calls:

79.0ms	z
13.0ms	y
10.0ms	x

Results

Error	Segments	Branch
30.5b	3	`x`
33.6b	3	`y`
38.5b	5	`z`

Compiler

Compiled 24 to 18 computations (25% saved)

bsearch63.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	1.0178195895650086e-95	3.966580669477773e-95
40.0ms	-8.131675494172207e-41	-9.713037785339045e-43

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes13.0ms (0.1%)

Accuracy

Total -20.7b remaining (-49.3%)

Threshold costs -20.7b (-49.3%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(*.f64 4 y)

Outputs
(*.f64 4 y)

Calls

3 calls:

5.0ms	y
3.0ms	z
3.0ms	x

Results

Error	Segments	Branch
41.9b	1	`x`
41.9b	1	`y`
41.9b	1	`z`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify234.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

169×	`distribute-rgt-neg-in_binary64`
118×	`cancel-sign-sub-inv_binary64`
110×	`distribute-lft-neg-out_binary64`
102×	`distribute-lft-neg-in_binary64`
97×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	596
1	153	576
2	175	576
3	193	576
4	204	576
5	220	576
6	255	576
7	307	576
8	359	576
9	414	576
10	472	576
11	526	576
12	619	576
13	771	576
14	921	576
15	1044	576
16	1137	576
17	1204	576
18	1241	576
19	1259	576
20	1263	576

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 0 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(if (<=.f64 z -4904766948669143/8192) (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))) (if (<=.f64 z 1540423830518691/2147483648) (+.f64 (.f64 -3 x) (.f64 6 (.f64 y (-.f64 2/3 z)))) (.f64 (-.f64 x y) (*.f64 z 6))))
(if (<=.f64 z -4001314018572827/17179869184) (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 (.f64 (-.f64 y x) 4) x) (.f64 (-.f64 x y) (*.f64 z 6))))
(if (<=.f64 z -4001314018572827/17179869184) (.f64 -6 (.f64 z (-.f64 y x))) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 (.f64 (-.f64 y x) 4) x) (.f64 (-.f64 x y) (*.f64 z 6))))
(if (<=.f64 z -4001314018572827/17179869184) (.f64 (-.f64 x y) (.f64 z 6)) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 (.f64 (-.f64 y x) 4) x) (.f64 (-.f64 x y) (*.f64 z 6))))
(if (<=.f64 z -123838954443005583308095488) (.f64 z (.f64 6 x)) (if (<=.f64 z -4001314018572827/17179869184) (.f64 (.f64 -6 z) y) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 (.f64 (-.f64 y x) 4) x) (if (<=.f64 z 16799999999999999572762930629971697758604972896751409471440558275407124429863056290755544236252538593298286177505667760788941373751487412413418146164730007066930000832463597446014719050586783744) (.f64 (.f64 -6 z) y) (.f64 z (*.f64 6 x))))))
(if (<=.f64 z -123838954443005583308095488) (.f64 z (.f64 6 x)) (if (<=.f64 z -4690929925895041/18446744073709551616) (.f64 (.f64 -6 z) y) (if (<=.f64 z -6996489600039405/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (.f64 4 y) (if (<=.f64 z -1559196616576655/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 7888221780710813/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (.f64 4 y) (if (<=.f64 z 2918221732487369/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 6849427068962617/576460752303423488) (.f64 4 y) (if (<=.f64 z 16799999999999999572762930629971697758604972896751409471440558275407124429863056290755544236252538593298286177505667760788941373751487412413418146164730007066930000832463597446014719050586783744) (.f64 (.f64 -6 z) y) (.f64 z (*.f64 6 x))))))))))
(if (<=.f64 z -4690929925895041/18446744073709551616) (.f64 (.f64 -6 z) y) (if (<=.f64 z -6996489600039405/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (.f64 4 y) (if (<=.f64 z -1559196616576655/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 7888221780710813/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (.f64 4 y) (if (<=.f64 z 2918221732487369/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 6849427068962617/576460752303423488) (.f64 4 y) (.f64 z (*.f64 -6 y))))))))
(if (<=.f64 z -4690929925895041/18446744073709551616) (.f64 (.f64 -6 z) y) (if (<=.f64 z -6996489600039405/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (.f64 4 y) (if (<=.f64 z -1559196616576655/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 7888221780710813/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (.f64 4 y) (if (<=.f64 z 2918221732487369/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 6849427068962617/576460752303423488) (.f64 4 y) (.f64 (*.f64 -6 z) y)))))))
(if (<=.f64 x -7975524118135891/98079714615416886934934209737619787751599303819750539264) (.f64 -1 (.f64 3 x)) (if (<=.f64 x 6119405178047509/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (.f64 4 y) (.f64 -1 (*.f64 3 x))))
(*.f64 4 y)
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 z -2/3)))) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 x (+.f64 1 (.f64 6 (+.f64 z -2/3)))) (.f64 -6 (.f64 y (+.f64 z -2/3))))
(+.f64 x (+.f64 0 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))
(+.f64 x (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))))
(+.f64 x (.f64 -6 (.f64 (-.f64 y x) (+.f64 z -2/3))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(+.f64 x (.f64 (-.f64 2/3 z) (.f64 (-.f64 y x) 6)))
(-.f64 x (.f64 (.f64 (-.f64 y x) 6) (+.f64 z -2/3)))
(if (<=.f64 z -4904766948669143/8192) (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))) (if (<=.f64 z 1540423830518691/2147483648) (+.f64 (.f64 -3 x) (.f64 6 (.f64 y (-.f64 2/3 z)))) (.f64 (-.f64 x y) (*.f64 z 6))))
(if (<=.f64 z -4904766948669143/8192) (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))) (if (<=.f64 z 1540423830518691/2147483648) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 x -3)) (.f64 (-.f64 x y) (*.f64 z 6))))
(if (<=.f64 z -4904766948669143/8192) (-.f64 x (.f64 z (.f64 (-.f64 y x) 6))) (if (<=.f64 z 1540423830518691/2147483648) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 x -3)) (.f64 (-.f64 x y) (*.f64 z 6))))
(if (<=.f64 z -4904766948669143/8192) (+.f64 x (.f64 z (.f64 (-.f64 y x) -6))) (if (<=.f64 z 1540423830518691/2147483648) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 x -3)) (.f64 (-.f64 x y) (*.f64 z 6))))
(if (<=.f64 z -4904766948669143/8192) (+.f64 x (.f64 z (.f64 (-.f64 y x) -6))) (if (<=.f64 z 1540423830518691/2147483648) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 x -3)) (.f64 (*.f64 z 6) (-.f64 x y))))
(if (<=.f64 z -4904766948669143/8192) (+.f64 x (.f64 z (.f64 (-.f64 y x) -6))) (if (<=.f64 z 1540423830518691/2147483648) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) (.f64 x -3)) (.f64 (-.f64 y x) (*.f64 z -6))))
(if (<=.f64 z -4904766948669143/8192) (+.f64 x (.f64 z (.f64 (-.f64 y x) -6))) (if (<=.f64 z 1540423830518691/2147483648) (-.f64 (.f64 x -3) (.f64 6 (.f64 y (+.f64 z -2/3)))) (.f64 (-.f64 y x) (*.f64 z -6))))
(if (<=.f64 z -4001314018572827/17179869184) (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 (.f64 (-.f64 y x) 4) x) (.f64 (-.f64 x y) (*.f64 z 6))))
(if (<=.f64 z -4001314018572827/17179869184) (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (-.f64 x y) (*.f64 z 6))))
(if (<=.f64 z -4001314018572827/17179869184) (-.f64 x (.f64 z (.f64 (-.f64 y x) 6))) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (-.f64 x y) (*.f64 z 6))))
(if (<=.f64 z -4001314018572827/17179869184) (+.f64 x (.f64 z (.f64 (-.f64 y x) -6))) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (-.f64 x y) (*.f64 z 6))))
(if (<=.f64 z -4001314018572827/17179869184) (+.f64 x (.f64 z (.f64 (-.f64 y x) -6))) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 z 6) (-.f64 x y))))
(if (<=.f64 z -4001314018572827/17179869184) (+.f64 x (.f64 z (.f64 (-.f64 y x) -6))) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (-.f64 y x) (*.f64 z -6))))
(if (<=.f64 z -4001314018572827/17179869184) (.f64 -6 (.f64 z (-.f64 y x))) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 (.f64 (-.f64 y x) 4) x) (.f64 (-.f64 x y) (*.f64 z 6))))
(if (<=.f64 z -4001314018572827/17179869184) (.f64 -6 (.f64 (-.f64 y x) z)) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (-.f64 x y) (*.f64 z 6))))
(if (<=.f64 z -4001314018572827/17179869184) (.f64 -6 (.f64 (-.f64 y x) z)) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 z 6) (-.f64 x y))))
(if (<=.f64 z -4001314018572827/17179869184) (.f64 -6 (.f64 (-.f64 y x) z)) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (-.f64 y x) (*.f64 z -6))))
(if (<=.f64 z -4001314018572827/17179869184) (.f64 (-.f64 x y) (.f64 z 6)) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 (.f64 (-.f64 y x) 4) x) (.f64 (-.f64 x y) (*.f64 z 6))))
(if (<=.f64 z -4001314018572827/17179869184) (.f64 (-.f64 x y) (.f64 z 6)) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (-.f64 x y) (*.f64 z 6))))
(if (<=.f64 z -4001314018572827/17179869184) (.f64 (.f64 z 6) (-.f64 x y)) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 z 6) (-.f64 x y))))
(if (<=.f64 z -4001314018572827/17179869184) (.f64 (-.f64 y x) (.f64 z -6)) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (-.f64 y x) (*.f64 z -6))))
(if (<=.f64 z -123838954443005583308095488) (.f64 z (.f64 6 x)) (if (<=.f64 z -4001314018572827/17179869184) (.f64 (.f64 -6 z) y) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 (.f64 (-.f64 y x) 4) x) (if (<=.f64 z 16799999999999999572762930629971697758604972896751409471440558275407124429863056290755544236252538593298286177505667760788941373751487412413418146164730007066930000832463597446014719050586783744) (.f64 (.f64 -6 z) y) (.f64 z (*.f64 6 x))))))
(if (<=.f64 z -123838954443005583308095488) (.f64 z (.f64 x 6)) (if (<=.f64 z -4001314018572827/17179869184) (.f64 y (.f64 z -6)) (if (<=.f64 z 6849427068962617/576460752303423488) (+.f64 x (.f64 (-.f64 y x) 4)) (if (<=.f64 z 16799999999999999572762930629971697758604972896751409471440558275407124429863056290755544236252538593298286177505667760788941373751487412413418146164730007066930000832463597446014719050586783744) (.f64 y (.f64 z -6)) (.f64 z (*.f64 x 6))))))
(if (<=.f64 z -123838954443005583308095488) (.f64 z (.f64 6 x)) (if (<=.f64 z -4690929925895041/18446744073709551616) (.f64 (.f64 -6 z) y) (if (<=.f64 z -6996489600039405/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (.f64 4 y) (if (<=.f64 z -1559196616576655/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 7888221780710813/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (.f64 4 y) (if (<=.f64 z 2918221732487369/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 6849427068962617/576460752303423488) (.f64 4 y) (if (<=.f64 z 16799999999999999572762930629971697758604972896751409471440558275407124429863056290755544236252538593298286177505667760788941373751487412413418146164730007066930000832463597446014719050586783744) (.f64 (.f64 -6 z) y) (.f64 z (*.f64 6 x))))))))))
(if (<=.f64 z -123838954443005583308095488) (.f64 z (.f64 x 6)) (if (<=.f64 z -4690929925895041/18446744073709551616) (.f64 y (.f64 z -6)) (if (<=.f64 z -6996489600039405/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (.f64 y 4) (if (<=.f64 z -1559196616576655/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (neg.f64 (.f64 x 3)) (if (<=.f64 z 7888221780710813/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (.f64 y 4) (if (<=.f64 z 2918221732487369/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (neg.f64 (.f64 x 3)) (if (<=.f64 z 6849427068962617/576460752303423488) (.f64 y 4) (if (<=.f64 z 16799999999999999572762930629971697758604972896751409471440558275407124429863056290755544236252538593298286177505667760788941373751487412413418146164730007066930000832463597446014719050586783744) (.f64 y (.f64 z -6)) (.f64 z (*.f64 x 6))))))))))
(if (<=.f64 z -123838954443005583308095488) (.f64 z (.f64 x 6)) (if (<=.f64 z -4690929925895041/18446744073709551616) (.f64 y (.f64 z -6)) (if (<=.f64 z -6996489600039405/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (.f64 y 4) (if (<=.f64 z -1559196616576655/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (.f64 x -3) (if (<=.f64 z 7888221780710813/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (.f64 y 4) (if (<=.f64 z 2918221732487369/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 x -3) (if (<=.f64 z 6849427068962617/576460752303423488) (.f64 y 4) (if (<=.f64 z 16799999999999999572762930629971697758604972896751409471440558275407124429863056290755544236252538593298286177505667760788941373751487412413418146164730007066930000832463597446014719050586783744) (.f64 y (.f64 z -6)) (.f64 z (*.f64 x 6))))))))))
(if (<=.f64 z -4690929925895041/18446744073709551616) (.f64 (.f64 -6 z) y) (if (<=.f64 z -6996489600039405/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (.f64 4 y) (if (<=.f64 z -1559196616576655/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 7888221780710813/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (.f64 4 y) (if (<=.f64 z 2918221732487369/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 6849427068962617/576460752303423488) (.f64 4 y) (.f64 z (*.f64 -6 y))))))))
(if (<=.f64 z -4690929925895041/18446744073709551616) (.f64 y (.f64 z -6)) (if (<=.f64 z -6996489600039405/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (.f64 y 4) (if (<=.f64 z -1559196616576655/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (neg.f64 (.f64 x 3)) (if (<=.f64 z 7888221780710813/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (.f64 y 4) (if (<=.f64 z 2918221732487369/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (neg.f64 (.f64 x 3)) (if (<=.f64 z 6849427068962617/576460752303423488) (.f64 y 4) (.f64 z (*.f64 y -6))))))))
(if (<=.f64 z -4690929925895041/18446744073709551616) (.f64 y (.f64 z -6)) (if (<=.f64 z -6996489600039405/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (.f64 y 4) (if (<=.f64 z -1559196616576655/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (.f64 x -3) (if (<=.f64 z 7888221780710813/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (.f64 y 4) (if (<=.f64 z 2918221732487369/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 x -3) (if (<=.f64 z 6849427068962617/576460752303423488) (.f64 y 4) (.f64 z (*.f64 y -6))))))))
(if (<=.f64 z -4690929925895041/18446744073709551616) (.f64 (.f64 -6 z) y) (if (<=.f64 z -6996489600039405/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (.f64 4 y) (if (<=.f64 z -1559196616576655/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 7888221780710813/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (.f64 4 y) (if (<=.f64 z 2918221732487369/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 6849427068962617/576460752303423488) (.f64 4 y) (.f64 (*.f64 -6 z) y)))))))
(if (<=.f64 z -4690929925895041/18446744073709551616) (.f64 y (.f64 z -6)) (if (<=.f64 z -6996489600039405/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (.f64 y 4) (if (<=.f64 z -1559196616576655/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (neg.f64 (.f64 x 3)) (if (<=.f64 z 7888221780710813/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (.f64 y 4) (if (<=.f64 z 2918221732487369/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (neg.f64 (.f64 x 3)) (if (<=.f64 z 6849427068962617/576460752303423488) (.f64 y 4) (.f64 y (*.f64 z -6))))))))
(if (<=.f64 z -4690929925895041/18446744073709551616) (.f64 y (.f64 z -6)) (if (<=.f64 z -6996489600039405/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (.f64 y 4) (if (<=.f64 z -1559196616576655/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (.f64 x -3) (if (<=.f64 z 7888221780710813/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944) (.f64 y 4) (if (<=.f64 z 2918221732487369/30354201441027016733116592294117482916287606860189680019559568902170379456331382784) (.f64 x -3) (if (<=.f64 z 6849427068962617/576460752303423488) (.f64 y 4) (.f64 y (*.f64 z -6))))))))
(if (<=.f64 x -7975524118135891/98079714615416886934934209737619787751599303819750539264) (.f64 -1 (.f64 3 x)) (if (<=.f64 x 6119405178047509/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (.f64 4 y) (.f64 -1 (*.f64 3 x))))
(if (<=.f64 x -7975524118135891/98079714615416886934934209737619787751599303819750539264) (neg.f64 (.f64 x 3)) (if (<=.f64 x 6119405178047509/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (.f64 y 4) (neg.f64 (*.f64 x 3))))
(if (<=.f64 x -7975524118135891/98079714615416886934934209737619787751599303819750539264) (.f64 x -3) (if (<=.f64 x 6119405178047509/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (.f64 y 4) (*.f64 x -3)))
(*.f64 4 y)
(*.f64 y 4)
x

Compiler

Compiled 446 to 304 computations (31.8% saved)

soundness711.0ms (5.1%)

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)

end222.0ms (1.6%)

Compiler: Compiled 404 to 255 computations (36.9% saved)