Details

analyze357.0ms (3.3%)

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)

sample1.9s (17.5%)

Results

1.4s	7714×	body	256	valid
253.0ms	1251×	body	256	invalid
115.0ms	254×	body	1024	valid
63.0ms	288×	body	512	valid

preprocess65.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify296.0ms (2.7%)

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 31 computations (36.7% saved)

series18.0ms (0.2%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
1.0ms	z	@	inf	(.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	@	0	(.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z))

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 156

Calls

Call 1

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

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

simplify406.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	1556
1	103	1496
2	250	1211
3	846	983
4	2149	965
5	4417	965
6	5495	965
7	6219	965
8	6609	965
9	6725	965
10	6795	965
11	6820	965
12	6820	965
13	6820	965
14	6820	965
15	7385	965
16	7385	965
17	7385	965

Stop Event

1×	node limit

Counts

264 → 186

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
2.0ms	z	@	0	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
1.0ms	y	@	0	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
1.0ms	z	@	-inf	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
1.0ms	x	@	-inf	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)

rewrite72.0ms (0.7%)

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 x) (fma.f64 z -6 4) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (-.f64 y x) (fma.f64 z -6 4)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 (-.f64 y x) (fma.f64 z -6 4)) 2) (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 y x) (fma.f64 z -6 4)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (-.f64 y x) (fma.f64 z 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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))))))

simplify201.0ms (1.9%)

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)

eval112.0ms (1%)

Compiler: Compiled 4659 to 2833 computations (39.2% saved)

prune62.0ms (0.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	269	17	286
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	271	17	288

Error

Counts

288 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
▶	32.8b	(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)) 2)
	24.3b	(+.f64 (*.f64 4 (-.f64 y x)) x)
	31.6b	(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
	0.4b	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
	0.3b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
	8.4b	(fma.f64 (.f64 (.f64 (-.f64 y x) 6) (cbrt.f64 (pow.f64 (-.f64 2/3 z) 2))) (cbrt.f64 (-.f64 2/3 z)) x)
	0.4b	(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (-.f64 (/.f64 2 3) z)))
▶	12.6b	(+.f64 x (/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z)))
	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
▶	39.5b	(.f64 -6 (.f64 z (-.f64 y x)))
	35.7b	(/.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)))))
	31.9b	(.f64 (+.f64 4 (.f64 -6 z)) y)
▶	39.9b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
	1.4b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))) 2) (cbrt.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))) x)
	1.3b	(*.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)))
	8.1b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (/.f64 (-.f64 4/9 (*.f64 z z)) (+.f64 2/3 z))))

Compiler

Compiled 594 to 422 computations (29% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 20 computations (61.5% saved)

series16.0ms (0.1%)

Counts

4 → 114

Calls

36 calls:

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

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 200

Calls

Call 1

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

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

simplify215.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2942×	`fma-neg_binary64`
909×	`fma-def_binary64`
435×	`unsub-neg_binary64`
382×	`sub-neg_binary64`
372×	`distribute-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	1376
1	167	1313
2	426	1126
3	1149	1018
4	2842	1018
5	4773	1018
6	5991	1018
7	6137	1018
8	6139	1018
9	6139	1018
10	6211	1018
11	6244	1018
12	6244	1018

Stop Event

1×	node limit

Counts

314 → 238

Calls

Call 1

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

localize7.0ms (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)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 15 computations (57.1% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`log-prod_binary64`
362×	`pow-prod-down_binary64`
354×	`fma-def_binary64`
273×	`pow2_binary64`
200×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	226	21
2	3326	21

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

Outputs

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

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

simplify113.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

212 → 156

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 4/9 (*.f64 z z))
✓	0.0b	(+.f64 x (/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z)))
✓	1.9b	(.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6))
✓	10.0b	(/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z))

Compiler

Compiled 71 to 36 computations (49.3% saved)

series25.0ms (0.2%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	z	@	inf	(.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6))
4.0ms	z	@	inf	(/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z))
1.0ms	y	@	0	(/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z))
1.0ms	z	@	0	(/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z))

rewrite108.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	70
1	352	52
2	5197	50

Stop Event

1×	node limit

Counts

4 → 186

Calls

Call 1

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

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

simplify116.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

617×	`fma-neg_binary64`
511×	`distribute-rgt-in_binary64`
477×	`distribute-lft-in_binary64`
426×	`*-commutative_binary64`
361×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	89	2864
1	250	2702
2	728	2492
3	3169	1890
4	7356	1854

Stop Event

1×	node limit

Counts

306 → 239

Calls

Call 1

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

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

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))
	0.1b	(fma.f64 z -6 4)
	0.1b	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
✓	0.3b	(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)) 2)

Compiler

Compiled 47 to 26 computations (44.7% saved)

series45.0ms (0.4%)

Counts

2 → 24

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)) 2)
5.0ms	x	@	inf	(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)) 2)
4.0ms	z	@	0	(sqrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))
4.0ms	z	@	inf	(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)) 2)
3.0ms	x	@	0	(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)) 2)

rewrite100.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

458×	`log-prod_binary64`
423×	`prod-diff_binary64`
353×	`exp-prod_binary64`
287×	`pow-prod-down_binary64`
287×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	256	26
2	2813	26

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)) 2)
(sqrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))

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 (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 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 (pow.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x) 1/4) (pow.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x) 3/4) (pow.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x) 5/6) (pow.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) (fma.f64 z -6 4)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) (fma.f64 z -6 4)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) (fma.f64 z -6 4)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y x) (fma.f64 z -6 4)) 2) (*.f64 x x)) (fma.f64 (-.f64 y x) (fma.f64 z -6 4) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 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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 exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (-.f64 y x) (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z -6 4) (-.f64 y x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (-.f64 y x) (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 y x) (fma.f64 z -6 4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 y x) (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 y x) (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 y x) 2)) (*.f64 (cbrt.f64 (-.f64 y x)) (fma.f64 z -6 4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (fma.f64 z -6 4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 y x) (fma.f64 z -6 4)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (fma.f64 z -6 4))) 2) (cbrt.f64 (*.f64 (-.f64 y x) (fma.f64 z -6 4))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) (fma.f64 z -6 4))) (sqrt.f64 (*.f64 (-.f64 y x) (fma.f64 z -6 4))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 y x) (pow.f64 (cbrt.f64 (fma.f64 z -6 4)) 2)) (cbrt.f64 (fma.f64 z -6 4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 y x) (sqrt.f64 (fma.f64 z -6 4))) (sqrt.f64 (fma.f64 z -6 4)) x)))))

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

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

912×	`fma-def_binary64`
616×	`distribute-rgt-in_binary64`
615×	`distribute-lft-in_binary64`
474×	`associate-+l+_binary64`
469×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1094
1	511	894
2	1861	830

Stop Event

1×	node limit

Counts

110 → 128

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 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x))) (.f64 -1/4 (/.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x)))) (pow.f64 y 2)) (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (.f64 -6 z)) y) x)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x))) (.f64 -1/4 (/.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x)))) (pow.f64 y 2)) (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (.f64 -6 z)) y) (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 3) (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x) 2))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 3) (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (*.f64 -6 z)) x)) x) 2)))) (pow.f64 y 3)) 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 (+.f64 4 (.f64 -6 z)) y) (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 2) (.f64 (+.f64 4 (.f64 -6 z)) y))) (.f64 1/4 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 2) (.f64 (+.f64 4 (.f64 -6 z)) y)))) (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 3) (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (pow.f64 y 2)))) (.f64 1/8 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 3) (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (pow.f64 y 2))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 4 (.f64 -6 z)) y) (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 2) (.f64 (+.f64 4 (.f64 -6 z)) y))) (.f64 1/4 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 2) (.f64 (+.f64 4 (*.f64 -6 z)) y)))) (pow.f64 x 2)))))
(+.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 (+.f64 (.f64 -9 (/.f64 (pow.f64 (-.f64 y x) 2) (+.f64 (.f64 4 (-.f64 y x)) x))) (.f64 9 (/.f64 (pow.f64 (-.f64 y x) 2) (+.f64 (.f64 4 (-.f64 y x)) x)))) (pow.f64 z 2)) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) x)))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 (+.f64 (.f64 27 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 2))) (.f64 -27 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 2)))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 -9 (/.f64 (pow.f64 (-.f64 y x) 2) (+.f64 (.f64 4 (-.f64 y x)) x))) (.f64 9 (/.f64 (pow.f64 (-.f64 y x) 2) (+.f64 (.f64 4 (-.f64 y x)) x)))) (pow.f64 z 2)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))))
(sqrt.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (*.f64 -6 z)) x)) x))
(+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 4 (.f64 -6 z)) y) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x))))) (sqrt.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x)))
(+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 4 (.f64 -6 z)) y) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x))))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x) 3))))) (sqrt.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (*.f64 -6 z)) x)) x))))
(+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 3) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x) 5))))) (+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 4 (.f64 -6 z)) y) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x))))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x) 3))))) (sqrt.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x)))))
(sqrt.f64 (.f64 (+.f64 4 (.f64 -6 z)) y))
(+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (sqrt.f64 (/.f64 1 (.f64 (+.f64 4 (.f64 -6 z)) y))))) (sqrt.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 3) (pow.f64 y 3)))) (.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (sqrt.f64 (/.f64 1 (.f64 (+.f64 4 (.f64 -6 z)) y))))) (sqrt.f64 (.f64 (+.f64 4 (.f64 -6 z)) y))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 3) (pow.f64 y 3)))) (.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (sqrt.f64 (/.f64 1 (.f64 (+.f64 4 (.f64 -6 z)) y))))) (+.f64 (sqrt.f64 (.f64 (+.f64 4 (.f64 -6 z)) y)) (.f64 1/16 (.f64 (.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 4 (*.f64 -6 z)) 5) (pow.f64 y 5)))))))))
(sqrt.f64 (+.f64 (*.f64 4 (-.f64 y x)) x))
(+.f64 (.f64 -3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 4 (-.f64 y x)) x))) (.f64 (-.f64 y x) z))) (sqrt.f64 (+.f64 (*.f64 4 (-.f64 y x)) x)))
(+.f64 (.f64 -3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 4 (-.f64 y x)) x))) (.f64 (-.f64 y x) z))) (+.f64 (sqrt.f64 (+.f64 (.f64 4 (-.f64 y x)) x)) (.f64 -9/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 3))) (*.f64 (pow.f64 (-.f64 y x) 2) (pow.f64 z 2))))))
(+.f64 (.f64 -3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 4 (-.f64 y x)) x))) (.f64 (-.f64 y x) z))) (+.f64 (sqrt.f64 (+.f64 (.f64 4 (-.f64 y x)) x)) (+.f64 (.f64 -27/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 5))) (.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3)))) (.f64 -9/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 3))) (*.f64 (pow.f64 (-.f64 y x) 2) (pow.f64 z 2)))))))

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 -3 (.f64 z 6)))
(fma.f64 x (fma.f64 z 6 -4) 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))
(fma.f64 (fma.f64 -6 z 4) y (.f64 x (+.f64 -3 (.f64 z 6))))
(+.f64 x (*.f64 (fma.f64 -6 z 4) (-.f64 y x)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x))) (.f64 -1/4 (/.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x)))) (pow.f64 y 2)) (+.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))
(fma.f64 (fma.f64 -6 z 4) y (.f64 x (+.f64 -3 (.f64 z 6))))
(+.f64 x (*.f64 (fma.f64 -6 z 4) (-.f64 y x)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x))) (.f64 -1/4 (/.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x)))) (pow.f64 y 2)) (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) (+.f64 (.f64 (+.f64 4 (.f64 -6 z)) y) (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 3) (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x) 2))) (.f64 -1/8 (/.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 3) (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (*.f64 -6 z)) x)) x) 2)))) (pow.f64 y 3)) x))))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(fma.f64 (fma.f64 -6 z 4) y (.f64 x (+.f64 -3 (.f64 z 6))))
(+.f64 x (*.f64 (fma.f64 -6 z 4) (-.f64 y 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))
(fma.f64 (fma.f64 -6 z 4) y (.f64 x (+.f64 -3 (.f64 z 6))))
(+.f64 x (*.f64 (fma.f64 -6 z 4) (-.f64 y x)))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (+.f64 (.f64 (+.f64 4 (.f64 -6 z)) y) (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 2) (.f64 (+.f64 4 (.f64 -6 z)) y))) (.f64 1/4 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 2) (.f64 (+.f64 4 (.f64 -6 z)) y)))) (pow.f64 x 2))))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(fma.f64 (fma.f64 -6 z 4) y (.f64 x (+.f64 -3 (.f64 z 6))))
(+.f64 x (*.f64 (fma.f64 -6 z 4) (-.f64 y x)))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 3) (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (pow.f64 y 2)))) (.f64 1/8 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 3) (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (pow.f64 y 2))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 4 (.f64 -6 z)) y) (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 2) (.f64 (+.f64 4 (.f64 -6 z)) y))) (.f64 1/4 (/.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 2) (.f64 (+.f64 4 (*.f64 -6 z)) y)))) (pow.f64 x 2)))))
(fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) (fma.f64 (+.f64 4 (*.f64 -6 z)) y x))
(fma.f64 (fma.f64 -6 z 4) y (.f64 x (+.f64 -3 (.f64 z 6))))
(+.f64 x (*.f64 (fma.f64 -6 z 4) (-.f64 y 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 4 (-.f64 y x) (fma.f64 -6 (*.f64 z (-.f64 y x)) x))
(+.f64 x (*.f64 (-.f64 y x) (fma.f64 -6 z 4)))
(fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 (+.f64 (.f64 -9 (/.f64 (pow.f64 (-.f64 y x) 2) (+.f64 (.f64 4 (-.f64 y x)) x))) (.f64 9 (/.f64 (pow.f64 (-.f64 y x) 2) (+.f64 (.f64 4 (-.f64 y x)) x)))) (pow.f64 z 2)) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) x)))
(fma.f64 4 (-.f64 y x) (fma.f64 (.f64 (/.f64 (pow.f64 (-.f64 y x) 2) (fma.f64 4 (-.f64 y x) x)) 0) (.f64 z z) (fma.f64 -6 (*.f64 z (-.f64 y x)) x)))
(+.f64 (+.f64 x (.f64 (-.f64 y x) (fma.f64 -6 z 4))) (.f64 z (*.f64 z 0)))
(+.f64 (fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x) 0)
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 (+.f64 (.f64 27 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 2))) (.f64 -27 (/.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 2)))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 -9 (/.f64 (pow.f64 (-.f64 y x) 2) (+.f64 (.f64 4 (-.f64 y x)) x))) (.f64 9 (/.f64 (pow.f64 (-.f64 y x) 2) (+.f64 (.f64 4 (-.f64 y x)) x)))) (pow.f64 z 2)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))))
(fma.f64 4 (-.f64 y x) (fma.f64 (.f64 (/.f64 (pow.f64 (-.f64 y x) 2) (fma.f64 4 (-.f64 y x) x)) 0) (.f64 z z) (fma.f64 -6 (*.f64 z (-.f64 y x)) x)))
(+.f64 (+.f64 x (.f64 (-.f64 y x) (fma.f64 -6 z 4))) (.f64 z (*.f64 z 0)))
(+.f64 (fma.f64 (-.f64 y x) (fma.f64 -6 z 4) x) 0)
(sqrt.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (*.f64 -6 z)) x)) x))
(sqrt.f64 (fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) x))
(sqrt.f64 (.f64 x (+.f64 -3 (.f64 z 6))))
(sqrt.f64 (fma.f64 x (fma.f64 z 6 -4) x))
(+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 4 (.f64 -6 z)) y) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x))))) (sqrt.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x)))
(fma.f64 1/2 (.f64 (+.f64 4 (.f64 -6 z)) (.f64 y (sqrt.f64 (/.f64 1 (fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) x))))) (sqrt.f64 (fma.f64 -1 (.f64 (+.f64 4 (*.f64 -6 z)) x) x)))
(fma.f64 1/2 (.f64 (fma.f64 -6 z 4) (.f64 y (sqrt.f64 (/.f64 1 (.f64 x (+.f64 -3 (.f64 z 6))))))) (sqrt.f64 (.f64 x (+.f64 -3 (.f64 z 6)))))
(fma.f64 (fma.f64 -6 z 4) (.f64 (.f64 y (sqrt.f64 (/.f64 1 (fma.f64 x (fma.f64 z 6 -4) x)))) 1/2) (sqrt.f64 (fma.f64 x (fma.f64 z 6 -4) x)))
(+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 4 (.f64 -6 z)) y) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x))))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x) 3))))) (sqrt.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (*.f64 -6 z)) x)) x))))
(fma.f64 1/2 (.f64 (+.f64 4 (.f64 -6 z)) (.f64 y (sqrt.f64 (/.f64 1 (fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) x))))) (fma.f64 -1/8 (.f64 (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (.f64 y y)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) x) 3)))) (sqrt.f64 (fma.f64 -1 (.f64 (+.f64 4 (*.f64 -6 z)) x) x))))
(fma.f64 1/2 (.f64 (fma.f64 -6 z 4) (.f64 y (sqrt.f64 (/.f64 1 (.f64 x (+.f64 -3 (.f64 z 6))))))) (fma.f64 -1/8 (.f64 (pow.f64 (fma.f64 -6 z 4) 2) (.f64 y (.f64 y (sqrt.f64 (/.f64 1 (pow.f64 (.f64 x (+.f64 -3 (.f64 z 6))) 3)))))) (sqrt.f64 (.f64 x (+.f64 -3 (*.f64 z 6))))))
(fma.f64 (fma.f64 -6 z 4) (.f64 (.f64 y (sqrt.f64 (/.f64 1 (fma.f64 x (fma.f64 z 6 -4) x)))) 1/2) (fma.f64 (pow.f64 (fma.f64 -6 z 4) 2) (.f64 (.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 x (fma.f64 z 6 -4) x) 3)))) -1/8) (sqrt.f64 (fma.f64 x (fma.f64 z 6 -4) x))))
(+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 3) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x) 5))))) (+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 4 (.f64 -6 z)) y) (sqrt.f64 (/.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x))))) (+.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x) 3))))) (sqrt.f64 (+.f64 (.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x)) x)))))
(fma.f64 1/16 (.f64 (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 3) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) x) 5)))) (fma.f64 1/2 (.f64 (+.f64 4 (.f64 -6 z)) (.f64 y (sqrt.f64 (/.f64 1 (fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) x))))) (fma.f64 -1/8 (.f64 (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 2) (.f64 y y)) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) x) 3)))) (sqrt.f64 (fma.f64 -1 (.f64 (+.f64 4 (.f64 -6 z)) x) x)))))
(fma.f64 1/16 (.f64 (pow.f64 (fma.f64 -6 z 4) 3) (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 x (+.f64 -3 (.f64 z 6))) 5))))) (fma.f64 1/2 (.f64 (fma.f64 -6 z 4) (.f64 y (sqrt.f64 (/.f64 1 (.f64 x (+.f64 -3 (.f64 z 6))))))) (fma.f64 -1/8 (.f64 (pow.f64 (fma.f64 -6 z 4) 2) (.f64 y (.f64 y (sqrt.f64 (/.f64 1 (pow.f64 (.f64 x (+.f64 -3 (.f64 z 6))) 3)))))) (sqrt.f64 (.f64 x (+.f64 -3 (*.f64 z 6)))))))
(fma.f64 (pow.f64 (fma.f64 -6 z 4) 3) (.f64 (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 x (fma.f64 z 6 -4) x) 5)))) 1/16) (fma.f64 (fma.f64 -6 z 4) (.f64 (.f64 y (sqrt.f64 (/.f64 1 (fma.f64 x (fma.f64 z 6 -4) x)))) 1/2) (fma.f64 (pow.f64 (fma.f64 -6 z 4) 2) (.f64 (.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 x (fma.f64 z 6 -4) x) 3)))) -1/8) (sqrt.f64 (fma.f64 x (fma.f64 z 6 -4) x)))))
(sqrt.f64 (.f64 (+.f64 4 (.f64 -6 z)) y))
(sqrt.f64 (*.f64 (fma.f64 -6 z 4) y))
(+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (sqrt.f64 (/.f64 1 (.f64 (+.f64 4 (.f64 -6 z)) y))))) (sqrt.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y)))
(fma.f64 1/2 (.f64 (+.f64 1 (neg.f64 (+.f64 4 (.f64 -6 z)))) (.f64 x (sqrt.f64 (/.f64 1 (.f64 (+.f64 4 (.f64 -6 z)) y))))) (sqrt.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y)))
(fma.f64 1/2 (.f64 (.f64 x (+.f64 -3 (.f64 z 6))) (sqrt.f64 (/.f64 1 (.f64 (fma.f64 -6 z 4) y)))) (sqrt.f64 (*.f64 (fma.f64 -6 z 4) y)))
(fma.f64 (fma.f64 x (fma.f64 z 6 -4) x) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (fma.f64 -6 z 4)) y)) 1/2) (sqrt.f64 (.f64 (fma.f64 -6 z 4) y)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 3) (pow.f64 y 3)))) (.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (sqrt.f64 (/.f64 1 (.f64 (+.f64 4 (.f64 -6 z)) y))))) (sqrt.f64 (.f64 (+.f64 4 (.f64 -6 z)) y))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 3) (pow.f64 y 3)))) (.f64 (pow.f64 (+.f64 1 (neg.f64 (+.f64 4 (.f64 -6 z)))) 2) (.f64 x x))) (fma.f64 1/2 (.f64 (+.f64 1 (neg.f64 (+.f64 4 (.f64 -6 z)))) (.f64 x (sqrt.f64 (/.f64 1 (.f64 (+.f64 4 (.f64 -6 z)) y))))) (sqrt.f64 (.f64 (+.f64 4 (*.f64 -6 z)) y))))
(fma.f64 -1/8 (.f64 (pow.f64 (.f64 x (+.f64 -3 (.f64 z 6))) 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (fma.f64 -6 z 4) 3) (pow.f64 y 3))))) (fma.f64 1/2 (.f64 (.f64 x (+.f64 -3 (.f64 z 6))) (sqrt.f64 (/.f64 1 (.f64 (fma.f64 -6 z 4) y)))) (sqrt.f64 (*.f64 (fma.f64 -6 z 4) y))))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 z 6 -4) x) 2) (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (fma.f64 -6 z 4) 3) (pow.f64 y 3))))) (fma.f64 (fma.f64 x (fma.f64 z 6 -4) x) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (fma.f64 -6 z 4)) y)) 1/2) (sqrt.f64 (.f64 (fma.f64 -6 z 4) y))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 3) (pow.f64 y 3)))) (.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (.f64 (.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) x) (sqrt.f64 (/.f64 1 (.f64 (+.f64 4 (.f64 -6 z)) y))))) (+.f64 (sqrt.f64 (.f64 (+.f64 4 (.f64 -6 z)) y)) (.f64 1/16 (.f64 (.f64 (pow.f64 (+.f64 1 (.f64 -1 (+.f64 4 (.f64 -6 z)))) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 4 (*.f64 -6 z)) 5) (pow.f64 y 5)))))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 4 (.f64 -6 z)) 3) (pow.f64 y 3)))) (.f64 (pow.f64 (+.f64 1 (neg.f64 (+.f64 4 (.f64 -6 z)))) 2) (.f64 x x))) (+.f64 (fma.f64 1/2 (.f64 (+.f64 1 (neg.f64 (+.f64 4 (.f64 -6 z)))) (.f64 x (sqrt.f64 (/.f64 1 (.f64 (+.f64 4 (.f64 -6 z)) y))))) (sqrt.f64 (.f64 (+.f64 4 (.f64 -6 z)) y))) (.f64 1/16 (.f64 (pow.f64 (+.f64 1 (neg.f64 (+.f64 4 (.f64 -6 z)))) 3) (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 4 (*.f64 -6 z)) 5) (pow.f64 y 5)))))))))
(fma.f64 -1/8 (.f64 (pow.f64 (.f64 x (+.f64 -3 (.f64 z 6))) 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (fma.f64 -6 z 4) 3) (pow.f64 y 3))))) (fma.f64 1/2 (.f64 (.f64 x (+.f64 -3 (.f64 z 6))) (sqrt.f64 (/.f64 1 (.f64 (fma.f64 -6 z 4) y)))) (fma.f64 1/16 (.f64 (pow.f64 (+.f64 -3 (.f64 z 6)) 3) (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (fma.f64 -6 z 4) 5) (pow.f64 y 5)))))) (sqrt.f64 (*.f64 (fma.f64 -6 z 4) y)))))
(fma.f64 (pow.f64 (fma.f64 x (fma.f64 z 6 -4) x) 2) (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (fma.f64 -6 z 4) 3) (pow.f64 y 3))))) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (fma.f64 -6 z 4) 5) (pow.f64 y 5)))) (.f64 1/16 (pow.f64 (fma.f64 x (fma.f64 z 6 -4) x) 3)) (fma.f64 (fma.f64 x (fma.f64 z 6 -4) x) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (fma.f64 -6 z 4)) y)) 1/2) (sqrt.f64 (.f64 (fma.f64 -6 z 4) y)))))
(sqrt.f64 (+.f64 (*.f64 4 (-.f64 y x)) x))
(sqrt.f64 (fma.f64 4 (-.f64 y x) x))
(+.f64 (.f64 -3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 4 (-.f64 y x)) x))) (.f64 (-.f64 y x) z))) (sqrt.f64 (+.f64 (*.f64 4 (-.f64 y x)) x)))
(fma.f64 -3 (.f64 (.f64 z (-.f64 y x)) (sqrt.f64 (/.f64 1 (fma.f64 4 (-.f64 y x) x)))) (sqrt.f64 (fma.f64 4 (-.f64 y x) x)))
(fma.f64 -3 (.f64 (-.f64 y x) (.f64 z (sqrt.f64 (/.f64 1 (fma.f64 4 (-.f64 y x) x))))) (sqrt.f64 (fma.f64 4 (-.f64 y x) x)))
(fma.f64 (.f64 z (-.f64 y x)) (.f64 -3 (sqrt.f64 (/.f64 1 (fma.f64 4 (-.f64 y x) x)))) (sqrt.f64 (fma.f64 4 (-.f64 y x) x)))
(+.f64 (.f64 -3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 4 (-.f64 y x)) x))) (.f64 (-.f64 y x) z))) (+.f64 (sqrt.f64 (+.f64 (.f64 4 (-.f64 y x)) x)) (.f64 -9/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 3))) (*.f64 (pow.f64 (-.f64 y x) 2) (pow.f64 z 2))))))
(+.f64 (fma.f64 -3 (.f64 (.f64 z (-.f64 y x)) (sqrt.f64 (/.f64 1 (fma.f64 4 (-.f64 y x) x)))) (sqrt.f64 (fma.f64 4 (-.f64 y x) x))) (.f64 -9/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 4 (-.f64 y x) x) 3))) (.f64 (pow.f64 (-.f64 y x) 2) (.f64 z z)))))
(fma.f64 -3 (.f64 (-.f64 y x) (.f64 z (sqrt.f64 (/.f64 1 (fma.f64 4 (-.f64 y x) x))))) (fma.f64 -9/2 (.f64 (pow.f64 (-.f64 y x) 2) (.f64 (*.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 4 (-.f64 y x) x) 3))))) (sqrt.f64 (fma.f64 4 (-.f64 y x) x))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 4 (-.f64 y x) x) 3))) (.f64 (.f64 (pow.f64 (-.f64 y x) 2) (.f64 z z)) -9/2) (fma.f64 (.f64 z (-.f64 y x)) (*.f64 -3 (sqrt.f64 (/.f64 1 (fma.f64 4 (-.f64 y x) x)))) (sqrt.f64 (fma.f64 4 (-.f64 y x) x))))
(+.f64 (.f64 -3 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (.f64 4 (-.f64 y x)) x))) (.f64 (-.f64 y x) z))) (+.f64 (sqrt.f64 (+.f64 (.f64 4 (-.f64 y x)) x)) (+.f64 (.f64 -27/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 5))) (.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3)))) (.f64 -9/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 4 (-.f64 y x)) x) 3))) (*.f64 (pow.f64 (-.f64 y x) 2) (pow.f64 z 2)))))))
(+.f64 (fma.f64 -3 (.f64 (.f64 z (-.f64 y x)) (sqrt.f64 (/.f64 1 (fma.f64 4 (-.f64 y x) x)))) (sqrt.f64 (fma.f64 4 (-.f64 y x) x))) (fma.f64 -27/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 4 (-.f64 y x) x) 5))) (.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3))) (.f64 -9/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 4 (-.f64 y x) x) 3))) (.f64 (pow.f64 (-.f64 y x) 2) (.f64 z z))))))
(+.f64 (fma.f64 -3 (.f64 (-.f64 y x) (.f64 z (sqrt.f64 (/.f64 1 (fma.f64 4 (-.f64 y x) x))))) (sqrt.f64 (fma.f64 4 (-.f64 y x) x))) (fma.f64 -9/2 (.f64 (pow.f64 (-.f64 y x) 2) (.f64 (.f64 z z) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 4 (-.f64 y x) x) 3))))) (.f64 -27/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 4 (-.f64 y x) x) 5))) (.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3))))))
(fma.f64 (.f64 z (-.f64 y x)) (.f64 -3 (sqrt.f64 (/.f64 1 (fma.f64 4 (-.f64 y x) x)))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 4 (-.f64 y x) x) 3))) (.f64 (.f64 (pow.f64 (-.f64 y x) 2) (.f64 z z)) -9/2) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 4 (-.f64 y x) x) 5))) (.f64 (*.f64 (pow.f64 (-.f64 y x) 3) (pow.f64 z 3)) -27/2) (sqrt.f64 (fma.f64 4 (-.f64 y x) x)))))

eval392.0ms (3.6%)

Compiler: Compiled 18882 to 10815 computations (42.7% saved)

prune253.0ms (2.3%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	934	16	950
Fresh	8	4	12
Picked	1	0	1
Done	3	1	4
Total	946	21	967

Error

Counts

967 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
	8.4b	(fma.f64 (-.f64 4/9 (.f64 z z)) (.f64 (*.f64 (-.f64 y x) 6) (/.f64 1 (+.f64 z 2/3))) x)
	13.2b	(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 z (*.f64 -6 y)) x))
▶	51.6b	(.f64 -6 (.f64 z y))
	24.3b	(fma.f64 x -3 (*.f64 y 4))
	51.6b	(.f64 z (.f64 -6 y))
	8.4b	(fma.f64 (-.f64 4/9 (*.f64 z z)) (/.f64 1 (/.f64 (/.f64 (+.f64 z 2/3) 6) (-.f64 y x))) x)
▶	39.9b	(-.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
	24.3b	(+.f64 (*.f64 4 (-.f64 y x)) x)
▶	0.3b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
	0.4b	(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (-.f64 (/.f64 2 3) z)))
	31.9b	(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
	50.6b	(.f64 6 (.f64 z x))
	62.4b	x
▶	51.8b	(+.f64 x (/.f64 (.f64 (.f64 z (neg.f64 z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z)))
	50.6b	(.f64 z (.f64 6 x))
	8.1b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (/.f64 (-.f64 4/9 (*.f64 z z)) (+.f64 2/3 z))))
	0.4b	(+.f64 x (.f64 (-.f64 2/3 z) (.f64 (-.f64 y x) 6)))
	31.6b	(.f64 (-.f64 (.f64 6 z) 3) x)
▶	31.9b	(.f64 (+.f64 4 (.f64 -6 z)) y)
✓	39.5b	(.f64 -6 (.f64 z (-.f64 y x)))

Compiler

Compiled 528 to 384 computations (27.3% saved)

localize68.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

series29.0ms (0.3%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
12.0ms	z	@	-inf	(.f64 6 (.f64 y (-.f64 2/3 z)))
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	@	inf	(.f64 6 (.f64 y (-.f64 2/3 z)))

rewrite109.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`log-prod_binary64`
361×	`pow-prod-down_binary64`
320×	`pow2_binary64`
231×	`pow-unpow_binary64`
225×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	255	34
2	3098	34

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

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

simplify100.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-def_binary64`
231×	`fma-neg_binary64`
134×	`associate-l_binary64`
120×	`associate-r_binary64`
100×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	455
1	53	428
2	113	356
3	166	338
4	212	338
5	301	338
6	469	338
7	640	338
8	1070	338
9	2155	338
10	2402	338
11	2427	338
12	2427	338

Stop Event

1×

saturated

Counts

154 → 129

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

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series7.0ms (0.1%)

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

rewrite72.0ms (0.7%)

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))))))))

simplify41.0ms (0.4%)

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))

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite69.0ms (0.6%)

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	10
1	172	8
2	2096	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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)))))))

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	117
1	16	117
2	27	108
3	41	90
4	45	90

Stop Event

1×

saturated

Counts

33 → 26

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)))

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

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 14 computations (51.7% saved)

series13.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite115.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
381×	`fma-def_binary64`
373×	`pow-prod-down_binary64`
282×	`pow2_binary64`
193×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	205	23
2	2955	23

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs

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

simplify147.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
564×	`fma-neg_binary64`
137×	`cancel-sign-sub-inv_binary64`
116×	`associate-l_binary64`
102×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	993
1	73	933
2	171	795
3	400	705
4	792	705
5	1378	705
6	2140	705
7	2579	705
8	2596	705
9	2596	705

Stop Event

1×

saturated

Counts

213 → 162

Calls

Call 1

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

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

localize55.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 y x) 6)
✓	0.0b	(+.f64 x (/.f64 (.f64 (.f64 z (neg.f64 z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z)))
✓	10.0b	(/.f64 (.f64 (.f64 z (neg.f64 z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z))
✓	12.0b	(.f64 (.f64 z (neg.f64 z)) (*.f64 (-.f64 y x) 6))

Compiler

Compiled 65 to 28 computations (56.9% saved)

series26.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/.f64 (.f64 (.f64 z (neg.f64 z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z))
1.0ms	z	@	0	(/.f64 (.f64 (.f64 z (neg.f64 z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z))
1.0ms	z	@	0	(.f64 (.f64 z (neg.f64 z)) (*.f64 (-.f64 y x) 6))
1.0ms	y	@	0	(.f64 (.f64 z (neg.f64 z)) (*.f64 (-.f64 y x) 6))
1.0ms	y	@	-inf	(.f64 (.f64 z (neg.f64 z)) (*.f64 (-.f64 y x) 6))

rewrite187.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`log-prod_binary64`
501×	`fma-def_binary64`
291×	`fma-neg_binary64`
272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	326	54
2	5048	52

Stop Event

1×	node limit

Counts

3 → 212

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify146.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

608×	`unsub-neg_binary64`
457×	`fma-def_binary64`
414×	`*-commutative_binary64`
338×	`+-commutative_binary64`
313×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	2581
1	250	2501
2	728	2320
3	2914	2283
4	5826	2265

Stop Event

1×	node limit

Counts

320 → 264

Calls

Call 1

Inputs
(.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x)))
(.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x)))
(.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x)))
(.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x)))
(.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x)))
(.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x)))
(.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x)))
(.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x)))
(.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x)))
(.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x)))
(.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x)))
(.f64 -6 (.f64 (pow.f64 z 2) (-.f64 y x)))
(.f64 6 (.f64 (pow.f64 z 2) x))
(+.f64 (.f64 -6 (.f64 y (pow.f64 z 2))) (.f64 6 (.f64 (pow.f64 z 2) x)))
(+.f64 (.f64 -6 (.f64 y (pow.f64 z 2))) (.f64 6 (.f64 (pow.f64 z 2) x)))
(+.f64 (.f64 -6 (.f64 y (pow.f64 z 2))) (.f64 6 (.f64 (pow.f64 z 2) x)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(+.f64 (.f64 6 (.f64 (pow.f64 z 2) x)) (.f64 -6 (.f64 y (pow.f64 z 2))))
(+.f64 (.f64 6 (.f64 (pow.f64 z 2) x)) (.f64 -6 (.f64 y (pow.f64 z 2))))
(+.f64 (.f64 6 (.f64 (pow.f64 z 2) x)) (.f64 -6 (.f64 y (pow.f64 z 2))))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(+.f64 (.f64 6 (.f64 (pow.f64 z 2) x)) (.f64 -6 (.f64 y (pow.f64 z 2))))
(+.f64 (.f64 6 (.f64 (pow.f64 z 2) x)) (.f64 -6 (.f64 y (pow.f64 z 2))))
(+.f64 (.f64 6 (.f64 (pow.f64 z 2) x)) (.f64 -6 (.f64 y (pow.f64 z 2))))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(+.f64 (.f64 6 (.f64 (pow.f64 z 2) x)) (.f64 -6 (.f64 y (pow.f64 z 2))))
(+.f64 (.f64 6 (.f64 (pow.f64 z 2) x)) (.f64 -6 (.f64 y (pow.f64 z 2))))
(+.f64 (.f64 6 (.f64 (pow.f64 z 2) x)) (.f64 -6 (.f64 y (pow.f64 z 2))))
(.f64 6 (.f64 (pow.f64 z 2) x))
(+.f64 (.f64 -6 (.f64 y (pow.f64 z 2))) (.f64 6 (.f64 (pow.f64 z 2) x)))
(+.f64 (.f64 -6 (.f64 y (pow.f64 z 2))) (.f64 6 (.f64 (pow.f64 z 2) x)))
(+.f64 (.f64 -6 (.f64 y (pow.f64 z 2))) (.f64 6 (.f64 (pow.f64 z 2) x)))
(.f64 6 (.f64 (pow.f64 z 2) x))
(+.f64 (.f64 -6 (.f64 y (pow.f64 z 2))) (.f64 6 (.f64 (pow.f64 z 2) x)))
(+.f64 (.f64 -6 (.f64 y (pow.f64 z 2))) (.f64 6 (.f64 (pow.f64 z 2) x)))
(+.f64 (.f64 -6 (.f64 y (pow.f64 z 2))) (.f64 6 (.f64 (pow.f64 z 2) x)))
(.f64 -9 (.f64 (pow.f64 z 2) (-.f64 y x)))
(+.f64 (.f64 27/2 (.f64 (pow.f64 z 3) (-.f64 y x))) (.f64 -9 (.f64 (pow.f64 z 2) (-.f64 y x))))
(+.f64 (.f64 -81/4 (.f64 (pow.f64 z 4) (-.f64 y x))) (+.f64 (.f64 27/2 (.f64 (pow.f64 z 3) (-.f64 y x))) (.f64 -9 (.f64 (pow.f64 z 2) (-.f64 y x)))))
(+.f64 (.f64 -81/4 (.f64 (pow.f64 z 4) (-.f64 y x))) (+.f64 (.f64 243/8 (.f64 (pow.f64 z 5) (-.f64 y x))) (+.f64 (.f64 27/2 (.f64 (pow.f64 z 3) (-.f64 y x))) (.f64 -9 (.f64 (pow.f64 z 2) (-.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 (.f64 -8/3 (/.f64 (-.f64 y x) z)) (.f64 -6 (.f64 z (-.f64 y x)))))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -8/3 (/.f64 (-.f64 y x) z)) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 16/9 (/.f64 (-.f64 y x) (pow.f64 z 2))))))
(.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 (.f64 -8/3 (/.f64 (-.f64 y x) z)) (.f64 -6 (.f64 z (-.f64 y x)))))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -8/3 (/.f64 (-.f64 y x) z)) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (*.f64 16/9 (/.f64 (-.f64 y x) (pow.f64 z 2))))))
(.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 (+.f64 1 (.f64 6 (/.f64 (pow.f64 z 2) (+.f64 2/3 z)))) x))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 (+.f64 1 (.f64 6 (/.f64 (pow.f64 z 2) (+.f64 2/3 z)))) x))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 (+.f64 1 (.f64 6 (/.f64 (pow.f64 z 2) (+.f64 2/3 z)))) x))
(.f64 (+.f64 1 (.f64 6 (/.f64 (pow.f64 z 2) (+.f64 2/3 z)))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 (+.f64 1 (.f64 6 (/.f64 (pow.f64 z 2) (+.f64 2/3 z)))) x))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 (+.f64 1 (.f64 6 (/.f64 (pow.f64 z 2) (+.f64 2/3 z)))) x))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 (+.f64 1 (.f64 6 (/.f64 (pow.f64 z 2) (+.f64 2/3 z)))) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -6 (/.f64 (pow.f64 z 2) (+.f64 2/3 z))) 1) x))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 -1 (.f64 (-.f64 (*.f64 -6 (/.f64 (pow.f64 z 2) (+.f64 2/3 z))) 1) x)))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 -1 (.f64 (-.f64 (*.f64 -6 (/.f64 (pow.f64 z 2) (+.f64 2/3 z))) 1) x)))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (.f64 -1 (.f64 (-.f64 (*.f64 -6 (/.f64 (pow.f64 z 2) (+.f64 2/3 z))) 1) x)))
x
(+.f64 (.f64 -9 (.f64 (pow.f64 z 2) (-.f64 y x))) x)
(+.f64 (.f64 -9 (.f64 (pow.f64 z 2) (-.f64 y x))) (+.f64 (.f64 27/2 (.f64 (pow.f64 z 3) (-.f64 y x))) x))
(+.f64 (.f64 -81/4 (.f64 (pow.f64 z 4) (-.f64 y x))) (+.f64 (.f64 -9 (.f64 (pow.f64 z 2) (-.f64 y x))) (+.f64 (.f64 27/2 (.f64 (pow.f64 z 3) (-.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 -8/3 (/.f64 (-.f64 y x) z)) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) x)))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -8/3 (/.f64 (-.f64 y x) z)) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (+.f64 x (*.f64 16/9 (/.f64 (-.f64 y x) (pow.f64 z 2)))))))
(.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 -8/3 (/.f64 (-.f64 y x) z)) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) x)))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -8/3 (/.f64 (-.f64 y x) z)) (+.f64 (.f64 -6 (.f64 z (-.f64 y x))) (+.f64 x (*.f64 16/9 (/.f64 (-.f64 y x) (pow.f64 z 2)))))))
(+.f64 (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))) x))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))) x))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))) x))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))) x))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))) x))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))) x))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))) x))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))) x))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) (+.f64 (.f64 6 (/.f64 (.f64 (pow.f64 z 2) x) (+.f64 2/3 z))) x))

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

eval367.0ms (3.4%)

Compiler: Compiled 14016 to 8222 computations (41.3% saved)

prune169.0ms (1.6%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	613	8	621
Fresh	4	11	15
Picked	1	0	1
Done	2	3	5
Total	620	22	642

Error

Counts

642 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	13.3b	(+.f64 (.f64 x -4) (+.f64 (.f64 6 (*.f64 y (-.f64 2/3 z))) x))
	51.6b	(.f64 y (.f64 -6 z))
	0.4b	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
	8.4b	(fma.f64 (-.f64 4/9 (.f64 z z)) (.f64 (*.f64 (-.f64 y x) 6) (/.f64 1 (+.f64 z 2/3))) x)
✓	51.6b	(.f64 -6 (.f64 z y))
	24.3b	(fma.f64 x -3 (*.f64 y 4))
	51.6b	(.f64 z (.f64 -6 y))
	8.4b	(fma.f64 (-.f64 4/9 (*.f64 z z)) (/.f64 1 (/.f64 (/.f64 (+.f64 z 2/3) 6) (-.f64 y x))) x)
	31.6b	(.f64 (-.f64 (.f64 6 z) 3) x)
	39.5b	(.f64 (.f64 z 6) (-.f64 x y))
	50.6b	(.f64 6 (.f64 z x))
	55.0b	(+.f64 x (.f64 x (.f64 (*.f64 z z) (/.f64 6 (+.f64 z 2/3)))))
▶	50.6b	(.f64 z (.f64 6 x))
▶	31.9b	(+.f64 (.f64 (.f64 -6 z) y) (*.f64 4 y))
	0.4b	(+.f64 x (.f64 (-.f64 2/3 z) (.f64 (-.f64 y x) 6)))
	62.4b	x
	24.3b	(+.f64 (*.f64 4 (-.f64 y x)) x)
▶	43.1b	(*.f64 4 y)
▶	0.4b	(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (-.f64 (/.f64 2 3) z)))
▶	56.7b	(+.f64 x (/.f64 (.f64 (.f64 z (neg.f64 z)) (*.f64 6 y)) (+.f64 2/3 z)))
✓	31.9b	(.f64 (+.f64 4 (.f64 -6 z)) y)
✓	39.5b	(.f64 -6 (.f64 z (-.f64 y x)))

Compiler

Compiled 482 to 354 computations (26.6% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 59 to 44 computations (25.4% saved)

series9.0ms (0.1%)

Counts

3 → 78

Calls

24 calls:

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

rewrite134.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`log-prod_binary64`
536×	`fma-def_binary64`
289×	`expm1-udef_binary64`
289×	`log1p-udef_binary64`
263×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	334	37
2	4346	37

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 6 y (*.f64 -6 x)) (-.f64 2/3 z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (fma.f64 6 y (*.f64 -6 x)) (-.f64 2/3 z)))) (/.f64 (pow.f64 (*.f64 (fma.f64 6 y (*.f64 -6 x)) (-.f64 2/3 z)) 2) (-.f64 x (*.f64 (fma.f64 6 y (*.f64 -6 x)) (-.f64 2/3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (fma.f64 6 y (*.f64 -6 x)) (-.f64 2/3 z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (fma.f64 6 y (*.f64 -6 x)) (-.f64 2/3 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (fma.f64 6 y (*.f64 -6 x)) (-.f64 2/3 z) x)) (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 6 y (*.f64 -6 x)) (-.f64 2/3 z) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 6 y (*.f64 -6 x)) (-.f64 2/3 z) x) 2)) (cbrt.f64 (fma.f64 (fma.f64 6 y (*.f64 -6 x)) (-.f64 2/3 z) x)))))) (#(struct:change #<rule 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simplify438.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

5082×	`fma-neg_binary64`
729×	`fma-def_binary64`
425×	`associate--r+_binary64`
419×	`unsub-neg_binary64`
411×	`sub-neg_binary64`

Iterations

Useful iterations: 17 (0.0ms)

Iter	Nodes	Cost
0	41	1389
1	109	1328
2	328	995
3	884	854
4	2413	854
5	4363	853
6	5386	853
7	5939	853
8	6179	853
9	6306	853
10	6378	853
11	6410	853
12	6410	853
13	6410	853
14	7027	853
15	7067	853
16	7067	853
17	7067	796

Stop Event

1×	node limit

Counts

234 → 182

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

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

localize3.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify22.0ms (0.2%)

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

Outputs
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))
(.f64 6 (.f64 z x))

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite120.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

480×	`log-prod_binary64`
403×	`fma-def_binary64`
351×	`exp-prod_binary64`
347×	`prod-exp_binary64`
309×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	197	15
2	2557	15

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

Outputs

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

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

simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Rules

290×	`fma-def_binary64`
157×	`fma-neg_binary64`
53×	`cancel-sign-sub-inv_binary64`
34×	`distribute-rgt-neg-in_binary64`
30×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	417
1	38	354
2	80	354
3	153	354
4	239	354
5	304	354
6	459	354
7	682	354
8	966	354
9	1041	354
10	1047	354

Stop Event

1×

saturated

Counts

160 → 119

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

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

localize63.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2/3 z)
✓	0.0b	(+.f64 x (/.f64 (.f64 (.f64 z (neg.f64 z)) (*.f64 6 y)) (+.f64 2/3 z)))
✓	4.7b	(/.f64 (.f64 (.f64 z (neg.f64 z)) (*.f64 6 y)) (+.f64 2/3 z))
✓	11.1b	(.f64 (.f64 z (neg.f64 z)) (*.f64 6 y))

Compiler

Compiled 54 to 27 computations (50% saved)

series20.0ms (0.2%)

Counts

4 → 87

Calls

24 calls:

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

rewrite177.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

720×	`log-prod_binary64`
345×	`fma-def_binary64`
241×	`pow1/3_binary64`
240×	`expm1-udef_binary64`
240×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	296	49
2	4440	47

Stop Event

1×	node limit

Counts

4 → 264

Calls

Call 1

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

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

simplify148.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

676×	`distribute-lft-out_binary64`
597×	`times-frac_binary64`
469×	`associate-l_binary64`
468×	`distribute-rgt-in_binary64`
442×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	62	1218
1	177	1218
2	454	1199
3	1344	1182
4	3381	1171
5	6702	1171

Stop Event

1×	node limit

Counts

351 → 300

Calls

Call 1

Inputs
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -9 (.f64 y (pow.f64 z 2)))
(+.f64 (.f64 27/2 (.f64 y (pow.f64 z 3))) (.f64 -9 (.f64 y (pow.f64 z 2))))
(+.f64 (.f64 27/2 (.f64 y (pow.f64 z 3))) (+.f64 (.f64 -9 (.f64 y (pow.f64 z 2))) (.f64 -81/4 (.f64 y (pow.f64 z 4)))))
(+.f64 (.f64 243/8 (.f64 y (pow.f64 z 5))) (+.f64 (.f64 27/2 (.f64 y (pow.f64 z 3))) (+.f64 (.f64 -9 (.f64 y (pow.f64 z 2))) (.f64 -81/4 (.f64 y (pow.f64 z 4))))))
(.f64 -6 (.f64 y z))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 (.f64 4 y) (+.f64 (.f64 -8/3 (/.f64 y z)) (.f64 -6 (.f64 y z))))
(+.f64 (.f64 4 y) (+.f64 (.f64 -8/3 (/.f64 y z)) (+.f64 (.f64 16/9 (/.f64 y (pow.f64 z 2))) (.f64 -6 (*.f64 y z)))))
(.f64 -6 (.f64 y z))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 (.f64 4 y) (+.f64 (.f64 -8/3 (/.f64 y z)) (.f64 -6 (.f64 y z))))
(+.f64 (.f64 4 y) (+.f64 (.f64 -8/3 (/.f64 y z)) (+.f64 (.f64 16/9 (/.f64 y (pow.f64 z 2))) (.f64 -6 (*.f64 y z)))))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
x
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
x
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
x
(+.f64 (.f64 -9 (.f64 y (pow.f64 z 2))) x)
(+.f64 (.f64 27/2 (.f64 y (pow.f64 z 3))) (+.f64 (.f64 -9 (.f64 y (pow.f64 z 2))) x))
(+.f64 (.f64 27/2 (.f64 y (pow.f64 z 3))) (+.f64 (.f64 -9 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 -81/4 (.f64 y (pow.f64 z 4))) x)))
(.f64 -6 (.f64 y z))
(+.f64 (.f64 4 y) (+.f64 (.f64 -6 (*.f64 y z)) x))
(+.f64 (.f64 4 y) (+.f64 (.f64 -8/3 (/.f64 y z)) (+.f64 (.f64 -6 (.f64 y z)) x)))
(+.f64 (.f64 4 y) (+.f64 (.f64 -8/3 (/.f64 y z)) (+.f64 (.f64 16/9 (/.f64 y (pow.f64 z 2))) (+.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 -8/3 (/.f64 y z)) (+.f64 (.f64 -6 (.f64 y z)) x)))
(+.f64 (.f64 4 y) (+.f64 (.f64 -8/3 (/.f64 y z)) (+.f64 (.f64 16/9 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -6 (*.f64 y z)) x))))
x
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
(.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z)))
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
2/3
z
z

Outputs
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -6 (.f64 y (pow.f64 z 2)))
(.f64 -6 (.f64 y (*.f64 z z)))
(.f64 y (.f64 -6 (*.f64 z z)))
(.f64 -9 (.f64 y (pow.f64 z 2)))
(.f64 (.f64 y (*.f64 z z)) -9)
(.f64 y (.f64 (*.f64 z z) -9))
(.f64 z (.f64 z (*.f64 y -9)))
(.f64 (.f64 z z) (*.f64 y -9))
(+.f64 (.f64 27/2 (.f64 y (pow.f64 z 3))) (.f64 -9 (.f64 y (pow.f64 z 2))))
(fma.f64 27/2 (.f64 y (pow.f64 z 3)) (.f64 (.f64 y (.f64 z z)) -9))
(fma.f64 (.f64 y (.f64 z z)) -9 (.f64 (.f64 27/2 (pow.f64 z 3)) y))
(.f64 (.f64 z z) (+.f64 (.f64 y -9) (.f64 27/2 (*.f64 y z))))
(.f64 y (.f64 (.f64 z z) (+.f64 -9 (.f64 z 27/2))))
(+.f64 (.f64 27/2 (.f64 y (pow.f64 z 3))) (+.f64 (.f64 -9 (.f64 y (pow.f64 z 2))) (.f64 -81/4 (.f64 y (pow.f64 z 4)))))
(fma.f64 27/2 (.f64 y (pow.f64 z 3)) (fma.f64 -9 (.f64 y (.f64 z z)) (.f64 -81/4 (*.f64 y (pow.f64 z 4)))))
(fma.f64 27/2 (.f64 y (pow.f64 z 3)) (fma.f64 (.f64 y (.f64 z z)) -9 (.f64 (pow.f64 z 4) (*.f64 y -81/4))))
(fma.f64 y (.f64 -81/4 (pow.f64 z 4)) (.f64 (.f64 z z) (+.f64 (.f64 y -9) (.f64 27/2 (.f64 y z)))))
(.f64 y (+.f64 (.f64 -81/4 (pow.f64 z 4)) (.f64 (.f64 z z) (+.f64 -9 (*.f64 z 27/2)))))
(.f64 (.f64 y (.f64 z z)) (+.f64 -9 (.f64 z (+.f64 27/2 (*.f64 z -81/4)))))
(+.f64 (.f64 243/8 (.f64 y (pow.f64 z 5))) (+.f64 (.f64 27/2 (.f64 y (pow.f64 z 3))) (+.f64 (.f64 -9 (.f64 y (pow.f64 z 2))) (.f64 -81/4 (.f64 y (pow.f64 z 4))))))
(fma.f64 243/8 (.f64 y (pow.f64 z 5)) (fma.f64 27/2 (.f64 y (pow.f64 z 3)) (fma.f64 -9 (.f64 y (.f64 z z)) (.f64 -81/4 (.f64 y (pow.f64 z 4))))))
(fma.f64 243/8 (.f64 y (pow.f64 z 5)) (fma.f64 27/2 (.f64 y (pow.f64 z 3)) (fma.f64 (.f64 y (.f64 z z)) -9 (.f64 (pow.f64 z 4) (.f64 y -81/4)))))
(fma.f64 y (.f64 243/8 (pow.f64 z 5)) (fma.f64 y (.f64 -81/4 (pow.f64 z 4)) (.f64 (.f64 z z) (+.f64 (.f64 y -9) (.f64 27/2 (*.f64 y z))))))
(.f64 y (+.f64 (.f64 (.f64 z z) (+.f64 -9 (.f64 z 27/2))) (+.f64 (.f64 243/8 (pow.f64 z 5)) (.f64 -81/4 (pow.f64 z 4)))))
(.f64 y (+.f64 (.f64 243/8 (pow.f64 z 5)) (.f64 (.f64 z z) (+.f64 -9 (.f64 z (+.f64 27/2 (.f64 z -81/4)))))))
(.f64 -6 (.f64 y z))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(fma.f64 4 y (.f64 -6 (.f64 y z)))
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(fma.f64 -6 (/.f64 (.f64 y (.f64 z z)) (+.f64 z 2/3)) x)
(fma.f64 -6 (.f64 (.f64 z z) (/.f64 y (+.f64 z 2/3))) x)
(fma.f64 -6 (*.f64 z (/.f64 y (/.f64 (+.f64 z 2/3) z))) x)
(fma.f64 -6 (.f64 z (.f64 z (/.f64 y (+.f64 z 2/3)))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
(fma.f64 -6 (/.f64 (.f64 y (.f64 z z)) (+.f64 z 2/3)) x)
(fma.f64 -6 (.f64 (.f64 z z) (/.f64 y (+.f64 z 2/3))) x)
(fma.f64 -6 (*.f64 z (/.f64 y (/.f64 (+.f64 z 2/3) z))) x)
(fma.f64 -6 (.f64 z (.f64 z (/.f64 y (+.f64 z 2/3)))) x)
(+.f64 (.f64 -6 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 2/3 z))) x)
(fma.f64 -6 (/.f64 (.f64 y (.f64 z z)) (+.f64 z 2/3)) x)
(fma.f64 -6 (.f64 (.f64 z z) (/.f64 y (+.f64 z 2/3))) x)
(fma.f64 -6 (*.f64 z (/.f64 y (/.f64 (+.f64 z 2/3) z))) x)
(fma.f64 -6 (.f64 z (.f64 z (/.f64 y (+.f64 z 2/3)))) x)
2/3
z
z

eval648.0ms (6%)

Compiler: Compiled 13349 to 8765 computations (34.3% saved)

prune158.0ms (1.5%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	657	4	661
Fresh	2	12	14
Picked	1	0	1
Done	1	6	7
Total	661	22	683

Error

Counts

683 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	13.3b	(+.f64 (.f64 x -4) (+.f64 (.f64 6 (*.f64 y (-.f64 2/3 z))) x))
	62.4b	x
	51.6b	(.f64 y (.f64 -6 z))
	0.4b	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
	8.4b	(fma.f64 (-.f64 4/9 (.f64 z z)) (.f64 (*.f64 (-.f64 y x) 6) (/.f64 1 (+.f64 z 2/3))) x)
✓	51.6b	(.f64 -6 (.f64 z y))
	24.3b	(fma.f64 x -3 (*.f64 y 4))
	51.6b	(.f64 z (.f64 -6 y))
	56.7b	(+.f64 x (/.f64 (.f64 (.f64 z (neg.f64 z)) (*.f64 6 y)) z))
	8.4b	(fma.f64 (-.f64 4/9 (*.f64 z z)) (/.f64 1 (/.f64 (/.f64 (+.f64 z 2/3) 6) (-.f64 y x))) x)
	31.6b	(.f64 (-.f64 (.f64 6 z) 3) x)
	39.5b	(.f64 (.f64 z 6) (-.f64 x y))
✓	50.6b	(.f64 z (.f64 6 x))
✓	31.9b	(+.f64 (.f64 (.f64 -6 z) y) (*.f64 4 y))
	0.4b	(+.f64 x (.f64 (-.f64 2/3 z) (.f64 (-.f64 y x) 6)))
	24.3b	(+.f64 (*.f64 4 (-.f64 y x)) x)
✓	43.1b	(*.f64 4 y)
	50.6b	(.f64 6 (.f64 z x))
	24.5b	(+.f64 (.f64 2/3 (+.f64 (.f64 6 y) (*.f64 -6 x))) x)
✓	31.9b	(.f64 (+.f64 4 (.f64 -6 z)) y)
✓	39.5b	(.f64 -6 (.f64 z (-.f64 y x)))
	55.0b	(+.f64 x (.f64 x (.f64 (*.f64 z z) (/.f64 6 (+.f64 z 2/3)))))

Compiler

Compiled 251 to 184 computations (26.7% saved)

regimes182.0ms (1.7%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

6 calls:

29.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
29.0ms	z
27.0ms	y
23.0ms	x
16.0ms	(-.f64 (/.f64 2 3) z)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))`
0.1b	1	`(-.f64 (/.f64 2 3) z)`
0.1b	1	`(-.f64 (/.f64 2 3) z)`

Compiler

Compiled 551 to 329 computations (40.3% saved)

regimes257.0ms (2.4%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

5 calls:

151.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
52.0ms	x
19.0ms	y
15.0ms	z
9.0ms	(-.f64 (/.f64 2 3) z)

Results

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

Compiler

Compiled 281 to 172 computations (38.8% saved)

regimes141.0ms (1.3%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

74.0ms	y
27.0ms	z
27.0ms	x

Results

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

Compiler

Compiled 191 to 114 computations (40.3% saved)

regimes202.0ms (1.9%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

3 calls:

66.0ms	z
63.0ms	y
62.0ms	x

Results

Error	Segments	Branch
13.2b	5	`x`
13.3b	5	`y`
2.2b	3	`z`

Compiler

Compiled 146 to 88 computations (39.7% saved)

bsearch46.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	3.4403033977396004e-8	39.74042350152246
23.0ms	-14518.540134787778	-1.4663669284326303e-6

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes102.0ms (0.9%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	x
30.0ms	z
24.0ms	y

Results

Error	Segments	Branch
35.3b	7	`x`
34.2b	4	`y`
30.0b	5	`z`

Compiler

Compiled 51 to 31 computations (39.2% saved)

bsearch354.0ms (3.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
39.0ms	3.4403033977396004e-8	39.74042350152246
24.0ms	-14518.540134787778	-1.4663669284326303e-6
104.0ms	-2.3436668012161735e+30	-1.1092561323101602e+30
187.0ms	-3.9434013911964307e+46	-8.841082003915263e+36

Compiler

Compiled 292 to 227 computations (22.3% saved)

regimes33.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

3 calls:

24.0ms	x
4.0ms	z
4.0ms	y

Results

Error	Segments	Branch
62.4b	1	`x`
62.4b	1	`y`
62.4b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
10×	`+-commutative_binary64`
6×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	154
1	72	154
2	83	154
3	89	154
4	92	154

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(+.f64 x (.f64 (-.f64 2/3 z) (.f64 (-.f64 y x) 6)))
(if (<=.f64 z -997706481033231/68719476736) (.f64 (.f64 z 6) (-.f64 x y)) (if (<=.f64 z 5198839506044175/151115727451828646838272) (+.f64 (.f64 4 (-.f64 y x)) x) (.f64 (*.f64 z 6) (-.f64 x y))))
(if (<=.f64 z -8999999999999999939063878597132419072) (.f64 z (.f64 6 x)) (if (<=.f64 z -2319999999999999956060337078272) (.f64 z (.f64 -6 y)) (if (<=.f64 z -997706481033231/68719476736) (.f64 z (.f64 6 x)) (if (<=.f64 z 5198839506044175/151115727451828646838272) (.f64 4 y) (.f64 -6 (*.f64 z y))))))
x
x

Outputs
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 x (.f64 -6 (*.f64 (-.f64 y x) z))))
(+.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)))
(+.f64 x (.f64 (-.f64 2/3 z) (.f64 (-.f64 y x) 6)))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(if (<=.f64 z -997706481033231/68719476736) (.f64 (.f64 z 6) (-.f64 x y)) (if (<=.f64 z 5198839506044175/151115727451828646838272) (+.f64 (.f64 4 (-.f64 y x)) x) (.f64 (*.f64 z 6) (-.f64 x y))))
(if (<=.f64 z -997706481033231/68719476736) (.f64 (.f64 z 6) (-.f64 x y)) (if (<=.f64 z 5198839506044175/151115727451828646838272) (+.f64 x (.f64 4 (-.f64 y x))) (.f64 (*.f64 z 6) (-.f64 x y))))
(if (<=.f64 z -8999999999999999939063878597132419072) (.f64 z (.f64 6 x)) (if (<=.f64 z -2319999999999999956060337078272) (.f64 z (.f64 -6 y)) (if (<=.f64 z -997706481033231/68719476736) (.f64 z (.f64 6 x)) (if (<=.f64 z 5198839506044175/151115727451828646838272) (.f64 4 y) (.f64 -6 (*.f64 z y))))))
(if (<=.f64 z -8999999999999999939063878597132419072) (.f64 z (.f64 x 6)) (if (<=.f64 z -2319999999999999956060337078272) (.f64 z (.f64 y -6)) (if (<=.f64 z -997706481033231/68719476736) (.f64 z (.f64 x 6)) (if (<=.f64 z 5198839506044175/151115727451828646838272) (.f64 4 y) (.f64 -6 (*.f64 y z))))))
x
x

Compiler

Compiled 110 to 73 computations (33.6% saved)

soundness0.0ms (0%)

end121.0ms (1.1%)

Compiler: Compiled 98 to 59 computations (39.8% saved)