Details

analyze355.0ms (2.4%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample2.2s (15.3%)

Results

1.5s	7727×	body	256	valid
518.0ms	1288×	body	256	invalid
126.0ms	262×	body	1024	valid
69.0ms	267×	body	512	valid

preprocess80.0ms (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)

simplify302.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 31 computations (36.7% saved)

series18.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(-.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	x	@	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))

rewrite97.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 156

Calls

Call 1

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

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

simplify399.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

264 → 186

Calls

Call 1

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

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

localize11.0ms (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)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

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

Outputs

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(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))))))

simplify209.0ms (1.4%)

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)

eval185.0ms (1.3%)

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

prune68.0ms (0.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	266	20	286
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	268	20	288

Error

0.0b

Counts

288 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	12.5b	(fma.f64 (-.f64 y x) (expm1.f64 (log1p.f64 (fma.f64 z -6 4))) x)
	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
▶	0.2b	(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
▶	0.4b	(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (-.f64 (/.f64 2 3) z)))
	1.4b	(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)) 3)
	21.6b	(+.f64 (*.f64 4 (-.f64 y x)) x)
	0.4b	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
	32.0b	(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
	31.8b	(fma.f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (.f64 6 (-.f64 2/3 z))) x)
	31.8b	(*.f64 (fma.f64 -6 z 4) y)
	7.3b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (/.f64 (-.f64 4/9 (*.f64 z z)) (+.f64 2/3 z))))
	31.8b	(.f64 (+.f64 4 (.f64 -6 z)) y)
▶	28.9b	(+.f64 x (.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) 6) (+.f64 y x)) (-.f64 (/.f64 2 3) z)))
▶	41.6b	(.f64 -6 (.f64 z (-.f64 y x)))
	0.3b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
▶	32.3b	(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
	0.2b	(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
	42.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
	32.0b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
	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)

Compiler

Compiled 622 to 446 computations (28.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 20 computations (61.5% saved)

series17.0ms (0.1%)

Counts

4 → 114

Calls

36 calls:

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

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 200

Calls

Call 1

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

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

simplify221.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

314 → 238

Calls

Call 1

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

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

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)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(*.f64 y (-.f64 2/3 z))
1.0ms	y	@	0	(*.f64 y (-.f64 2/3 z))
0.0ms	y	@	inf	(*.f64 y (-.f64 2/3 z))
0.0ms	y	@	inf	(.f64 6 (.f64 y (-.f64 2/3 z)))
0.0ms	y	@	0	(.f64 6 (.f64 y (-.f64 2/3 z)))

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	174	21
2	2146	21

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

Outputs

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

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

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

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

539×	`fma-def_binary64`
140×	`fma-neg_binary64`
69×	`associate-l_binary64`
60×	`associate-r_binary64`
58×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	284
1	34	266
2	61	230
3	89	212
4	123	212
5	178	212
6	266	212
7	369	212
8	610	212
9	1088	212
10	1366	212
11	1476	212
12	1476	212

Stop Event

1×

saturated

Counts

98 → 78

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite92.0ms (0.6%)

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

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

simplify418.0ms (2.9%)

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

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)))
(*.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)))
(*.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)))))
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(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)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 (.f64 y y) (*.f64 x x)) 6)
✓	0.3b	(.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) 6) (+.f64 y x)) (-.f64 (/.f64 2 3) z))
✓	2.7b	(-.f64 (.f64 y y) (.f64 x x))
✓	27.1b	(/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 x x)) 6) (+.f64 y x))

Compiler

Compiled 95 to 39 computations (58.9% saved)

series22.0ms (0.2%)

Counts

4 → 108

Calls

27 calls:

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

rewrite115.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`fma-def_binary64`
317×	`expm1-udef_binary64`
317×	`log1p-udef_binary64`
274×	`fma-neg_binary64`
253×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	67
1	369	43
2	5161	43

Stop Event

1×	node limit

Counts

4 → 309

Calls

Call 1

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

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

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

920×	`associate-+l+_binary64`
513×	`distribute-rgt-in_binary64`
489×	`distribute-lft-in_binary64`
330×	`*-commutative_binary64`
277×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	1588
1	186	1576
2	556	1449
3	2318	1171

Stop Event

1×	node limit

Counts

417 → 342

Calls

Call 1

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

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

eval331.0ms (2.3%)

Compiler: Compiled 20547 to 10887 computations (47% saved)

prune295.0ms (2%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	927	22	949
Fresh	9	6	15
Picked	1	0	1
Done	2	2	4
Total	939	30	969

Error

Counts

969 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	12.5b	(fma.f64 (-.f64 y x) (expm1.f64 (log1p.f64 (fma.f64 z -6 4))) x)
	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
▶	31.8b	(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
	0.4b	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
	32.0b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
	31.8b	(fma.f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (.f64 6 (-.f64 2/3 z))) x)
	32.0b	(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
	51.7b	(.f64 x (.f64 6 z))
	31.9b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 2/3 z)) (.f64 (+.f64 y x) 1/6)))
▶	0.2b	(+.f64 x (.f64 (.f64 1 (-.f64 y x)) (+.f64 4 (*.f64 -6 z))))
	41.6b	(.f64 z (.f64 -6 (-.f64 y x)))
	0.2b	(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
▶	52.6b	(.f64 -6 (.f64 z y))
	21.6b	(fma.f64 x -3 (*.f64 y 4))
	52.6b	(.f64 z (.f64 -6 y))
	21.6b	(+.f64 (*.f64 4 (-.f64 y x)) x)
	41.6b	(+.f64 0 (.f64 (-.f64 y x) (.f64 -6 z)))
	42.1b	(+.f64 x (*.f64 y 4))
	41.6b	(.f64 -6 (+.f64 (.f64 z y) (*.f64 z (neg.f64 x))))
	32.0b	(.f64 (-.f64 (.f64 6 z) 3) x)
	0.5b	(+.f64 x (/.f64 (-.f64 2/3 z) (/.f64 1 (*.f64 6 (-.f64 y x)))))
	36.4b	(+.f64 x (.f64 6 (/.f64 (.f64 (-.f64 4/9 (*.f64 z z)) y) (+.f64 2/3 z))))
✓	41.6b	(.f64 -6 (.f64 z (-.f64 y x)))
	21.8b	(+.f64 (.f64 2/3 (+.f64 (.f64 6 y) (*.f64 -6 x))) x)
▶	0.3b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
✓	32.3b	(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
	25.5b	(fma.f64 (-.f64 (pow.f64 (.f64 (-.f64 y x) (.f64 -6 z)) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 (-.f64 y x) (.f64 -6 z)) x)) (.f64 (-.f64 y x) 4))
▶	31.8b	(.f64 (+.f64 4 (.f64 -6 z)) y)
	51.7b	(.f64 6 (.f64 z x))
	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)

Compiler

Compiled 814 to 586 computations (28% saved)

localize39.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 4 (*.f64 -6 z))
✓	0.0b	(+.f64 x (.f64 (.f64 1 (-.f64 y x)) (+.f64 4 (*.f64 -6 z))))
✓	0.1b	(.f64 (.f64 1 (-.f64 y x)) (+.f64 4 (*.f64 -6 z)))

Compiler

Compiled 49 to 30 computations (38.8% saved)

series15.0ms (0.1%)

Counts

3 → 75

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 (.f64 1 (-.f64 y x)) (+.f64 4 (*.f64 -6 z)))
1.0ms	y	@	-inf	(.f64 (.f64 1 (-.f64 y x)) (+.f64 4 (*.f64 -6 z)))
1.0ms	x	@	0	(.f64 (.f64 1 (-.f64 y x)) (+.f64 4 (*.f64 -6 z)))
1.0ms	z	@	inf	(.f64 (.f64 1 (-.f64 y x)) (+.f64 4 (*.f64 -6 z)))
1.0ms	y	@	inf	(.f64 (.f64 1 (-.f64 y x)) (+.f64 4 (*.f64 -6 z)))

rewrite137.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`log-prod_binary64`
547×	`fma-def_binary64`
354×	`pow2_binary64`
247×	`fma-neg_binary64`
242×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	292	28
2	3876	28

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 y x) (fma.f64 -6 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y x) 4) (*.f64 (-.f64 y x) (*.f64 -6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y x) (*.f64 -6 z)) (*.f64 (-.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (fma.f64 -6 z 4)) (*.f64 (neg.f64 x) (fma.f64 -6 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -6 z 4) y) (*.f64 (fma.f64 -6 z 4) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -6 z 4)) (-.f64 y x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -6 z 4)) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -6 z 4)) (-.f64 y x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -6 z 4)) (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 y x) (fma.f64 -6 z 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -216 (pow.f64 z 3) 64)) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (fma.f64 (*.f64 -6 z) (fma.f64 -6 z -4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 -216 (pow.f64 z 3) 64)) (*.f64 (+.f64 y x) (fma.f64 (*.f64 -6 z) (fma.f64 -6 z -4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (-.f64 16 (pow.f64 (*.f64 -6 z) 2))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (+.f64 4 (*.f64 6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 16 (pow.f64 (*.f64 -6 z) 2))) (*.f64 (+.f64 y x) (+.f64 4 (*.f64 6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -216 (pow.f64 z 3) 64) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 (fma.f64 (*.f64 -6 z) (fma.f64 -6 z -4) 16) (fma.f64 x (+.f64 y x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (pow.f64 (*.f64 -6 z) 2)) (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 (+.f64 4 (*.f64 6 z)) (fma.f64 x (+.f64 y x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -216 (pow.f64 z 3) 64) (-.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 -6 z) (fma.f64 -6 z -4) 16) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (pow.f64 (*.f64 -6 z) 2)) (-.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (+.f64 4 (*.f64 6 z)) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) 4) 3) (pow.f64 (*.f64 (-.f64 y x) (*.f64 -6 z)) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) 4) 2) (-.f64 (pow.f64 (*.f64 (-.f64 y x) (*.f64 -6 z)) 2) (*.f64 (*.f64 (-.f64 y x) 4) (*.f64 (-.f64 y x) (*.f64 -6 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y x) 4) 2) (pow.f64 (*.f64 (-.f64 y x) (*.f64 -6 z)) 2)) (-.f64 (*.f64 (-.f64 y x) 4) (*.f64 (-.f64 y x) (*.f64 -6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 -6 z 4)) (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)) (fma.f64 -6 z 4)) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -216 (pow.f64 z 3) 64) (-.f64 y x)) (fma.f64 (*.f64 -6 z) (fma.f64 -6 z -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (pow.f64 (*.f64 -6 z) 2)) (-.f64 y x)) (+.f64 4 (*.f64 6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 y x) (fma.f64 -216 (pow.f64 z 3) 64)) (fma.f64 (*.f64 -6 z) (fma.f64 -6 z -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 y x) (-.f64 16 (pow.f64 (*.f64 -6 z) 2))) (+.f64 4 (*.f64 6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -6 z 4) (-.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 (fma.f64 -6 z 4) (-.f64 (*.f64 y y) (*.f64 x x))) (+.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 y x) (fma.f64 -6 z 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 y x) (fma.f64 -6 z 4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) (fma.f64 -6 z 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) (fma.f64 -6 z 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 y x) (fma.f64 -6 z 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 y x) (fma.f64 -6 z 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 -6 z 4)) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) (fma.f64 -6 z 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (-.f64 y x) (*.f64 -6 z))) (exp.f64 (*.f64 (-.f64 y x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) (fma.f64 -6 z 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 y x) (fma.f64 -6 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 y x) (fma.f64 -6 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 y x) (fma.f64 -6 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 y x) (fma.f64 -6 z 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 y x) 4) (*.f64 (-.f64 y x) (*.f64 -6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 y x) (*.f64 -6 z)) (*.f64 (-.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (fma.f64 -6 z 4) (*.f64 (neg.f64 x) (fma.f64 -6 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y x) 4 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -6 z 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16 (+.f64 4 (*.f64 6 z))) (/.f64 (pow.f64 (*.f64 -6 z) 2) (+.f64 4 (*.f64 6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -6 z 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -6 z 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -6 z 4)) (cbrt.f64 (pow.f64 (fma.f64 -6 z 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -6 z 4) 2)) (cbrt.f64 (fma.f64 -6 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -6 z 4)) (sqrt.f64 (fma.f64 -6 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -216 (pow.f64 z 3) 64) (/.f64 1 (fma.f64 (*.f64 -6 z) (fma.f64 -6 z -4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16 (pow.f64 (*.f64 -6 z) 2)) (/.f64 1 (+.f64 4 (*.f64 6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 -6 z) (fma.f64 -6 z -4) 16) (fma.f64 -216 (pow.f64 z 3) 64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (*.f64 6 z)) (-.f64 16 (pow.f64 (*.f64 -6 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -216 (pow.f64 z 3) 64) (fma.f64 (*.f64 -6 z) (fma.f64 -6 z -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -216 (pow.f64 z 3) 64) (fma.f64 36 (*.f64 z z) (-.f64 16 (*.f64 -24 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (pow.f64 (*.f64 -6 z) 2)) (+.f64 4 (*.f64 6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -216 (pow.f64 z 3) 64)) (neg.f64 (fma.f64 (*.f64 -6 z) (fma.f64 -6 z -4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16 (pow.f64 (*.f64 -6 z) 2))) (neg.f64 (+.f64 4 (*.f64 6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 36 (*.f64 z z) -16) (fma.f64 -6 z -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -6 z 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -6 z 4) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -6 z 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -6 z 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -6 z 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 -6 z) (fma.f64 -6 z -4) 16) (fma.f64 -216 (pow.f64 z 3) 64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 4 (*.f64 6 z)) (-.f64 16 (pow.f64 (*.f64 -6 z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -6 z 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -6 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -6 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -6 z 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -6 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -6 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -6 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -6 z 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -6 z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -6 z 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z -6 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -6 z) 1 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) -6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -6 z)) (pow.f64 (cbrt.f64 (*.f64 -6 z)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -6 z)) 2) (cbrt.f64 (*.f64 -6 z)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) -6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -6 z)) (sqrt.f64 (*.f64 -6 z)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -6 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -6 (sqrt.f64 z)) (sqrt.f64 z) 4)))))

simplify305.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

3318×	`fma-def_binary64`
464×	`fma-neg_binary64`
352×	`sub-neg_binary64`
350×	`distribute-rgt-in_binary64`
281×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	1501
1	88	1144
2	219	781
3	687	781
4	1594	781
5	2928	781
6	4210	781
7	5056	781
8	5263	781
9	5299	781
10	5299	781
11	5299	781
12	5319	781
13	5327	781
14	5327	781

Stop Event

1×	node limit

Counts

258 → 205

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series19.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	z	@	inf	(.f64 -6 (.f64 z y))
1.0ms	z	@	0	(.f64 -6 (.f64 z y))
1.0ms	y	@	0	(.f64 -6 (.f64 z y))
1.0ms	y	@	inf	(.f64 -6 (.f64 z y))
1.0ms	z	@	-inf	(.f64 -6 (.f64 z y))

rewrite79.0ms (0.5%)

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))))))))

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

35 → 12

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite79.0ms (0.5%)

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)))))))

simplify24.0ms (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))

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 15 computations (44.4% saved)

series7.0ms (0.1%)

Counts

2 → 15

Calls

12 calls:

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

rewrite107.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

467×	`log-prod_binary64`
354×	`exp-prod_binary64`
332×	`prod-exp_binary64`
325×	`fma-def_binary64`
295×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	195	18
2	2517	18

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

Outputs

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

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

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

290×	`fma-def_binary64`
157×	`fma-neg_binary64`
52×	`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	17	138
1	35	114
2	73	114
3	153	114
4	239	114
5	306	114
6	461	114
7	682	114
8	967	114
9	1042	114
10	1048	114

Stop Event

1×

saturated

Counts

116 → 107

Calls

Call 1

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

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

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

series9.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite101.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	174	17
2	2149	17

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

521×	`fma-def_binary64`
140×	`fma-neg_binary64`
74×	`associate-l_binary64`
63×	`associate-r_binary64`
53×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	223
1	29	205
2	65	169
3	93	169
4	117	169
5	166	169
6	259	169
7	358	169
8	591	169
9	1157	169
10	1425	169
11	1467	169
12	1467	169

Stop Event

1×

saturated

Counts

54 → 42

Calls

Call 1

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

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

eval318.0ms (2.2%)

Compiler: Compiled 7891 to 5048 computations (36% saved)

prune112.0ms (0.8%)

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	477	5	482
Fresh	3	20	23
Picked	1	0	1
Done	0	6	6
Total	481	31	512

Error

Counts

512 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	12.5b	(fma.f64 (-.f64 y x) (expm1.f64 (log1p.f64 (fma.f64 z -6 4))) x)
▶	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
✓	31.8b	(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
	0.4b	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
	32.0b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
	52.6b	(.f64 (.f64 -6 z) y)
	25.5b	(fma.f64 (-.f64 (pow.f64 (.f64 (-.f64 y x) (.f64 -6 z)) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 (-.f64 y x) (.f64 -6 z)) x)) (.f64 (-.f64 y x) 4))
	31.8b	(fma.f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (.f64 6 (-.f64 2/3 z))) x)
	32.0b	(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
	51.7b	(.f64 x (.f64 6 z))
	11.8b	(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 y (-.f64 2/3 z))) x))
	31.9b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 2/3 z)) (.f64 (+.f64 y x) 1/6)))
✓	0.2b	(+.f64 x (.f64 (.f64 1 (-.f64 y x)) (+.f64 4 (*.f64 -6 z))))
	41.6b	(.f64 z (.f64 -6 (-.f64 y x)))
	42.0b	(+.f64 x (.f64 (.f64 z 6) (-.f64 x y)))
▶	41.8b	(*.f64 4 y)
▶	0.2b	(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
✓	52.6b	(.f64 -6 (.f64 z y))
▶	21.6b	(fma.f64 x -3 (*.f64 y 4))
	52.6b	(.f64 z (.f64 -6 y))
▶	32.0b	(.f64 (-.f64 (.f64 6 z) 3) x)
	0.5b	(+.f64 x (/.f64 (-.f64 2/3 z) (/.f64 1 (*.f64 6 (-.f64 y x)))))
	36.4b	(+.f64 x (.f64 6 (/.f64 (.f64 (-.f64 4/9 (*.f64 z z)) y) (+.f64 2/3 z))))
	21.6b	(+.f64 (*.f64 4 (-.f64 y x)) x)
✓	41.6b	(.f64 -6 (.f64 z (-.f64 y x)))
	21.8b	(+.f64 (.f64 2/3 (+.f64 (.f64 6 y) (*.f64 -6 x))) x)
✓	32.3b	(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
✓	31.8b	(.f64 (+.f64 4 (.f64 -6 z)) y)
	51.7b	(.f64 6 (.f64 z x))
	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)
	41.6b	(.f64 -6 (+.f64 (.f64 z y) (*.f64 z (neg.f64 x))))

Compiler

Compiled 772 to 553 computations (28.4% saved)

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 63 to 47 computations (25.4% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

9 calls:

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

rewrite108.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

449×	`log-prod_binary64`
352×	`exp-prod_binary64`
295×	`prod-diff_binary64`
282×	`fma-def_binary64`
271×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	214	18
2	2683	18

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify34.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	171
1	23	162
2	39	144
3	48	144

Stop Event

1×

saturated

Counts

107 → 92

Calls

Call 1

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

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

localize8.0ms (0.1%)

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

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series7.0ms (0.1%)

Counts

2 → 15

Calls

9 calls:

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

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

66 → 58

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 21 computations (46.2% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	253	27
2	3591	27

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Outputs

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

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

simplify414.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

5387×	`fma-neg_binary64`
685×	`unsub-neg_binary64`
407×	`fma-def_binary64`
284×	`sub-neg_binary64`
249×	`associate--r+_binary64`

Iterations

Useful iterations: 20 (0.0ms)

Iter	Nodes	Cost
0	38	1345
1	91	1285
2	231	1081
3	733	775
4	1845	775
5	3922	775
6	5411	775
7	6089	775
8	6416	775
9	6500	775
10	6545	775
11	6561	775
12	6561	775
13	6585	775
14	6605	775
15	6611	775
16	6613	775
17	6615	775
18	6615	775
19	6851	775
20	6851	772

Stop Event

1×	node limit

Counts

163 → 112

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))

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

45 → 25

Calls

Call 1

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

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

eval166.0ms (1.1%)

Compiler: Compiled 6622 to 4581 computations (30.8% saved)

prune71.0ms (0.5%)

Pruning

29 alts after pruning (19 fresh and 10 done)

	Pruned	Kept	Total
New	385	8	393
Fresh	9	11	20
Picked	0	1	1
Done	1	9	10
Total	395	29	424

Error

Counts

424 → 29

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
✓	31.8b	(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
	0.4b	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
	32.0b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
	21.6b	(+.f64 (.f64 y 4) (.f64 x -3))
	39.0b	(/.f64 (.f64 (+.f64 (.f64 36 (*.f64 z z)) -9) x) (fma.f64 6 z 3))
	11.8b	(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 y (-.f64 2/3 z))) x))
	31.9b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 2/3 z)) (.f64 (+.f64 y x) 1/6)))
✓	0.2b	(+.f64 x (.f64 (.f64 1 (-.f64 y x)) (+.f64 4 (*.f64 -6 z))))
	40.1b	(/.f64 (.f64 (+.f64 (.f64 216 (pow.f64 z 3)) -27) x) (+.f64 (.f64 36 (.f64 z z)) (+.f64 9 (*.f64 z 18))))
	41.6b	(.f64 z (.f64 -6 (-.f64 y x)))
	42.0b	(+.f64 x (.f64 (.f64 z 6) (-.f64 x y)))
✓	41.8b	(*.f64 4 y)
	43.3b	(/.f64 (-.f64 (.f64 (.f64 x -3) (.f64 x -3)) (.f64 16 (.f64 y y))) (-.f64 (.f64 x -3) (*.f64 y 4)))
✓	52.6b	(.f64 -6 (.f64 z y))
✓	21.6b	(fma.f64 x -3 (*.f64 y 4))
	52.6b	(.f64 z (.f64 -6 y))
	32.0b	(+.f64 (.f64 (.f64 6 z) x) (*.f64 -3 x))
✓	32.0b	(.f64 (-.f64 (.f64 6 z) 3) x)
	51.7b	(.f64 6 (.f64 z x))
	0.5b	(+.f64 x (/.f64 (-.f64 2/3 z) (/.f64 1 (*.f64 6 (-.f64 y x)))))
	36.4b	(+.f64 x (.f64 6 (/.f64 (.f64 (-.f64 4/9 (*.f64 z z)) y) (+.f64 2/3 z))))
✓	41.6b	(.f64 -6 (.f64 z (-.f64 y x)))
✓	32.3b	(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
	52.6b	(.f64 (.f64 -6 z) y)
✓	31.8b	(.f64 (+.f64 4 (.f64 -6 z)) y)
	51.7b	(.f64 (.f64 6 z) x)
	42.8b	(*.f64 -3 x)
	41.6b	(.f64 -6 (+.f64 (.f64 z y) (*.f64 z (neg.f64 x))))

Compiler

Compiled 364 to 270 computations (25.8% saved)

regimes185.0ms (1.3%)

Counts

57 → 1

Calls

Call 1

Inputs
(*.f64 -3 x)
(*.f64 4 y)
(.f64 6 (.f64 z x))
(.f64 (.f64 6 z) x)
(.f64 (.f64 -6 z) y)
(.f64 x (.f64 6 z))
(.f64 -6 (.f64 z y))
(.f64 z (.f64 -6 y))
(+.f64 x (*.f64 y 4))
(.f64 6 (.f64 z x))
(+.f64 (.f64 y 4) (.f64 x -3))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(.f64 z (.f64 -6 (-.f64 y x)))
(+.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 (+.f64 4 (.f64 -6 z)) y)
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (.f64 (.f64 6 z) x) (*.f64 -3 x))
(+.f64 x (.f64 (.f64 z 6) (-.f64 x y)))
(+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(+.f64 0 (.f64 (-.f64 y x) (.f64 -6 z)))
(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(.f64 -6 (+.f64 (.f64 z y) (*.f64 z (neg.f64 x))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
(+.f64 (.f64 2/3 (+.f64 (.f64 6 y) (*.f64 -6 x))) x)
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 y (-.f64 2/3 z))) x))
(+.f64 x (.f64 (.f64 1 (-.f64 y x)) (+.f64 4 (*.f64 -6 z))))
(+.f64 x (/.f64 (-.f64 2/3 z) (/.f64 1 (*.f64 6 (-.f64 y x)))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(+.f64 x (.f64 6 (/.f64 (.f64 (-.f64 4/9 (*.f64 z z)) y) (+.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 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (/.f64 (-.f64 4/9 (*.f64 z z)) (+.f64 2/3 z))))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
(+.f64 (.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x) (.f64 6 (.f64 y (-.f64 2/3 z))))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 2/3 z)) (.f64 (+.f64 y x) 1/6)))
(/.f64 (-.f64 (.f64 (.f64 x -3) (.f64 x -3)) (.f64 16 (.f64 y y))) (-.f64 (.f64 x -3) (*.f64 y 4)))
(+.f64 x (.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) 6) (+.f64 y x)) (-.f64 (/.f64 2 3) z)))
(fma.f64 x -3 (*.f64 y 4))
(*.f64 (fma.f64 -6 z 4) y)
(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
(/.f64 (.f64 (+.f64 (.f64 36 (*.f64 z z)) -9) x) (fma.f64 6 z 3))
(/.f64 (.f64 (+.f64 (.f64 216 (pow.f64 z 3)) -27) x) (+.f64 (.f64 36 (.f64 z z)) (+.f64 9 (*.f64 z 18))))
(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
(fma.f64 (-.f64 (pow.f64 (.f64 (-.f64 y x) (.f64 -6 z)) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 (-.f64 y x) (.f64 -6 z)) x)) (.f64 (-.f64 y x) 4))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z) x)) 3)
(fma.f64 (sqrt.f64 (-.f64 y x)) (.f64 (sqrt.f64 (-.f64 y x)) (.f64 6 (-.f64 2/3 z))) x)
(fma.f64 (-.f64 y x) (expm1.f64 (log1p.f64 (fma.f64 z -6 4))) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))) 2) (cbrt.f64 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))) x)

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

Calls

6 calls:

42.0ms	x
34.0ms	y
32.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
28.0ms	z
15.0ms	(-.f64 (/.f64 2 3) z)

Results

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

Compiler

Compiled 665 to 412 computations (38% saved)

regimes286.0ms (2%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

6 calls:

69.0ms	x
52.0ms	y
49.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
49.0ms	z
29.0ms	(-.f64 (/.f64 2 3) z)

Results

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

Compiler

Compiled 346 to 222 computations (35.8% saved)

regimes150.0ms (1%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

3 calls:

60.0ms	x
40.0ms	y
35.0ms	z

Results

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

Compiler

Compiled 260 to 162 computations (37.7% saved)

regimes513.0ms (3.5%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

3 calls:

232.0ms	y
126.0ms	x
117.0ms	z

Results

Error	Segments	Branch
13.1b	5	`x`
15.3b	3	`y`
1.5b	3	`z`

Compiler

Compiled 236 to 147 computations (37.7% saved)

bsearch50.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	7.620482737871498e-9	918889.5598676383
25.0ms	-1.5035160011976247	-7.559811477330059e-7

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes348.0ms (2.4%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

3 calls:

147.0ms	y
97.0ms	z
89.0ms	x

Results

Error	Segments	Branch
13.1b	5	`x`
15.3b	3	`y`
1.5b	3	`z`

Compiler

Compiled 205 to 129 computations (37.1% saved)

bsearch49.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	7.620482737871498e-9	918889.5598676383
23.0ms	-1.5035160011976247	-7.559811477330059e-7

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes357.0ms (2.5%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

197.0ms	y
95.0ms	x
59.0ms	z

Results

Error	Segments	Branch
13.1b	5	`x`
15.3b	3	`y`
1.6b	3	`z`

Compiler

Compiled 117 to 72 computations (38.5% saved)

bsearch125.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
98.0ms	7.620482737871498e-9	918889.5598676383
26.0ms	-1.5035160011976247	-7.559811477330059e-7

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes84.0ms (0.6%)

Counts

12 → 5

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	z
36.0ms	x
8.0ms	y

Results

Error	Segments	Branch
21.6b	1	`x`
21.6b	1	`y`
9.6b	5	`z`

Compiler

Compiled 75 to 48 computations (36% saved)

bsearch252.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
86.0ms	1.094499240691888e+157	5.737947204727577e+161
78.0ms	1.412203146757213e+86	7.75256659378357e+87
63.0ms	7.620482737871498e-9	918889.5598676383
24.0ms	-74365371.24979533	-30373254.694336094

Compiler

Compiled 292 to 227 computations (22.3% saved)

regimes274.0ms (1.9%)

Counts

10 → 14

Calls

Call 1

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

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

Calls

3 calls:

179.0ms	z
66.0ms	x
24.0ms	y

Results

Error	Segments	Branch
29.3b	5	`x`
29.3b	3	`y`
22.3b	14	`z`

Compiler

Compiled 61 to 39 computations (36.1% saved)

bsearch576.0ms (4%)

Algorithm

13×	binary-search

Steps

Time	Left	Right
34.0ms	1.094499240691888e+157	5.737947204727577e+161
49.0ms	1.412203146757213e+86	7.75256659378357e+87
25.0ms	7.620482737871498e-9	918889.5598676383
28.0ms	7.266665387251684e-17	1.4412483272433775e-16
46.0ms	3.590934287959582e-149	1.288683010916668e-146
59.0ms	3.6078130878189284e-205	1.6203249048353603e-194
54.0ms	2.1772795084345767e-274	8.524967447905068e-269
47.0ms	3.495254158807163e-299	7.698901369619268e-296
41.0ms	-1.6399313263099076e-268	-1.3112553477514675e-268
47.0ms	-2.834875409293513e-220	-3.49798656231062e-221
32.0ms	-2.3053645700531945e-179	-1.1855876981379229e-179
87.0ms	-4.7769109537890575e-151	-3.518630219012741e-151
26.0ms	-74365371.24979533	-30373254.694336094

Compiler

Compiled 292 to 227 computations (22.3% saved)

regimes76.0ms (0.5%)

Counts

4 → 12

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	z
16.0ms	y
11.0ms	x

Results

Error	Segments	Branch
30.8b	3	`x`
29.3b	3	`y`
24.1b	12	`z`

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch477.0ms (3.3%)

Algorithm

11×	binary-search

Steps

Time	Left	Right
43.0ms	7.620482737871498e-9	918889.5598676383
43.0ms	7.266665387251684e-17	1.4412483272433775e-16
49.0ms	3.590934287959582e-149	1.288683010916668e-146
54.0ms	3.6078130878189284e-205	1.6203249048353603e-194
58.0ms	2.1772795084345767e-274	8.524967447905068e-269
58.0ms	3.495254158807163e-299	7.698901369619268e-296
56.0ms	-1.6399313263099076e-268	-1.3112553477514675e-268
36.0ms	-2.834875409293513e-220	-3.49798656231062e-221
29.0ms	-2.3053645700531945e-179	-1.1855876981379229e-179
28.0ms	-4.7769109537890575e-151	-3.518630219012741e-151
23.0ms	-74365371.24979533	-30373254.694336094

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes172.0ms (1.2%)

Counts

3 → 12

Calls

Call 1

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

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

Calls

3 calls:

88.0ms	z
56.0ms	y
23.0ms	x

Results

Error	Segments	Branch
30.8b	3	`x`
29.3b	3	`y`
24.1b	12	`z`

Compiler

Compiled 26 to 19 computations (26.9% saved)

bsearch674.0ms (4.6%)

Algorithm

11×	binary-search

Steps

Time	Left	Right
80.0ms	7.620482737871498e-9	918889.5598676383
57.0ms	7.266665387251684e-17	1.4412483272433775e-16
53.0ms	3.590934287959582e-149	1.288683010916668e-146
67.0ms	3.6078130878189284e-205	1.6203249048353603e-194
66.0ms	2.1772795084345767e-274	8.524967447905068e-269
53.0ms	3.495254158807163e-299	7.698901369619268e-296
53.0ms	-1.6399313263099076e-268	-1.3112553477514675e-268
54.0ms	-2.834875409293513e-220	-3.49798656231062e-221
54.0ms	-2.3053645700531945e-179	-1.1855876981379229e-179
71.0ms	-4.7769109537890575e-151	-3.518630219012741e-151
64.0ms	-74365371.24979533	-30373254.694336094

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes131.0ms (0.9%)

Accuracy

Total -33.0b remaining (-112.5%)

Threshold costs -33.0b (-112.5%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

78.0ms	z
29.0ms	y
23.0ms	x

Results

Error	Segments	Branch
30.8b	3	`x`
29.3b	3	`y`
34.5b	10	`z`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch91.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	1.0112159903330097e-97	1.2152340165322825e-77
42.0ms	-1.388374644839717e+79	-7.656176289067658e+73

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

23×	`*-commutative_binary64`
12×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	661
1	145	659
2	156	659
3	161	659
4	163	659

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 1 (-.f64 y x)) (+.f64 4 (*.f64 -6 z))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(if (<=.f64 z -6771234102739201/4503599627370496) (.f64 -6 (+.f64 (.f64 z y) (.f64 z (neg.f64 x)))) (if (<=.f64 z 4606299169870217/604462909807314587353088) (+.f64 (.f64 y 4) (.f64 x -3)) (.f64 -6 (*.f64 z (-.f64 y x)))))
(if (<=.f64 z -6771234102739201/4503599627370496) (.f64 -6 (.f64 z (-.f64 y x))) (if (<=.f64 z 4606299169870217/604462909807314587353088) (+.f64 (.f64 y 4) (.f64 x -3)) (.f64 -6 (.f64 z (-.f64 y x)))))
(if (<=.f64 z -6771234102739201/4503599627370496) (.f64 z (.f64 -6 (-.f64 y x))) (if (<=.f64 z 4606299169870217/604462909807314587353088) (+.f64 (.f64 y 4) (.f64 x -3)) (.f64 z (.f64 -6 (-.f64 y x)))))
(if (<=.f64 z -319396837472769600/4294967296) (.f64 (.f64 6 z) x) (if (<=.f64 z 4606299169870217/604462909807314587353088) (+.f64 (.f64 y 4) (.f64 x -3)) (if (<=.f64 z 144999999999999995219704461657292802055900370963349531144289591969233917653892267507712) (.f64 (.f64 6 z) x) (if (<=.f64 z 550000000000000045734229689053419729916677920396489819120761375980738684379718917780587037116223558594031227217436278843319826609659303258137821846165957111709696) (.f64 (.f64 -6 z) y) (.f64 6 (.f64 z x))))))
(if (<=.f64 z -319396837472769600/4294967296) (.f64 (.f64 6 z) x) (if (<=.f64 z -7042141580593099/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (.f64 4 y) (if (<=.f64 z -6731576929816207/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (.f64 -3 x) (if (<=.f64 z -3605459240834299/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (.f64 4 y) (if (<=.f64 z -6096514027413073/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (.f64 -3 x) (if (<=.f64 z 6588616572546943/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (.f64 4 y) (if (<=.f64 z 8487309000112633/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904) (.f64 -3 x) (if (<=.f64 z 130412985861258880/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 4 y) (if (<=.f64 z 8271515547340551/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (.f64 -3 x) (if (<=.f64 z 2947709676738335/40564819207303340847894502572032) (.f64 4 y) (if (<=.f64 z 4606299169870217/604462909807314587353088) (.f64 -3 x) (if (<=.f64 z 144999999999999995219704461657292802055900370963349531144289591969233917653892267507712) (.f64 (.f64 6 z) x) (if (<=.f64 z 550000000000000045734229689053419729916677920396489819120761375980738684379718917780587037116223558594031227217436278843319826609659303258137821846165957111709696) (.f64 (.f64 -6 z) y) (.f64 6 (.f64 z x)))))))))))))))
(if (<=.f64 z -319396837472769600/4294967296) (.f64 (.f64 6 z) x) (if (<=.f64 z -7042141580593099/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (.f64 4 y) (if (<=.f64 z -6731576929816207/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (.f64 -3 x) (if (<=.f64 z -3605459240834299/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (.f64 4 y) (if (<=.f64 z -6096514027413073/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (.f64 -3 x) (if (<=.f64 z 6588616572546943/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (.f64 4 y) (if (<=.f64 z 8487309000112633/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904) (.f64 -3 x) (if (<=.f64 z 130412985861258880/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 4 y) (if (<=.f64 z 8271515547340551/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (.f64 -3 x) (if (<=.f64 z 2947709676738335/40564819207303340847894502572032) (.f64 4 y) (if (<=.f64 z 4606299169870217/604462909807314587353088) (.f64 -3 x) (.f64 6 (.f64 z x)))))))))))))
(if (<=.f64 z -319396837472769600/4294967296) (.f64 6 (.f64 z x)) (if (<=.f64 z -7042141580593099/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (.f64 4 y) (if (<=.f64 z -6731576929816207/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (.f64 -3 x) (if (<=.f64 z -3605459240834299/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (.f64 4 y) (if (<=.f64 z -6096514027413073/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (.f64 -3 x) (if (<=.f64 z 6588616572546943/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (.f64 4 y) (if (<=.f64 z 8487309000112633/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904) (.f64 -3 x) (if (<=.f64 z 130412985861258880/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 4 y) (if (<=.f64 z 8271515547340551/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (.f64 -3 x) (if (<=.f64 z 2947709676738335/40564819207303340847894502572032) (.f64 4 y) (if (<=.f64 z 4606299169870217/604462909807314587353088) (.f64 -3 x) (.f64 6 (.f64 z x)))))))))))))
(if (<=.f64 y -13883746448397170059184465789035712707199717115114973694184100032517832448147456) (.f64 4 y) (if (<=.f64 y 3984393871699442688/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (.f64 -3 x) (*.f64 4 y)))
(*.f64 -3 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 1 (-.f64 y x)) (+.f64 4 (*.f64 -6 z))))
(+.f64 x (.f64 (-.f64 y x) (+.f64 4 (.f64 -6 z))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(if (<=.f64 z -6771234102739201/4503599627370496) (.f64 -6 (+.f64 (.f64 z y) (.f64 z (neg.f64 x)))) (if (<=.f64 z 4606299169870217/604462909807314587353088) (+.f64 (.f64 y 4) (.f64 x -3)) (.f64 -6 (*.f64 z (-.f64 y x)))))
(if (<=.f64 z -6771234102739201/4503599627370496) (.f64 -6 (+.f64 (.f64 y z) (.f64 z (neg.f64 x)))) (if (<=.f64 z 4606299169870217/604462909807314587353088) (+.f64 (.f64 4 y) (.f64 x -3)) (.f64 -6 (*.f64 (-.f64 y x) z))))
(if (<=.f64 z -6771234102739201/4503599627370496) (.f64 -6 (-.f64 (.f64 y z) (.f64 x z))) (if (<=.f64 z 4606299169870217/604462909807314587353088) (+.f64 (.f64 4 y) (.f64 x -3)) (.f64 -6 (*.f64 (-.f64 y x) z))))
(if (<=.f64 z -6771234102739201/4503599627370496) (.f64 -6 (.f64 z (-.f64 y x))) (if (<=.f64 z 4606299169870217/604462909807314587353088) (+.f64 (.f64 y 4) (.f64 x -3)) (.f64 -6 (.f64 z (-.f64 y x)))))
(if (<=.f64 z -6771234102739201/4503599627370496) (.f64 -6 (.f64 (-.f64 y x) z)) (if (<=.f64 z 4606299169870217/604462909807314587353088) (+.f64 (.f64 4 y) (.f64 x -3)) (.f64 -6 (.f64 (-.f64 y x) z))))
(if (<=.f64 z -6771234102739201/4503599627370496) (.f64 z (.f64 -6 (-.f64 y x))) (if (<=.f64 z 4606299169870217/604462909807314587353088) (+.f64 (.f64 y 4) (.f64 x -3)) (.f64 z (.f64 -6 (-.f64 y x)))))
(if (<=.f64 z -6771234102739201/4503599627370496) (.f64 z (.f64 (-.f64 y x) -6)) (if (<=.f64 z 4606299169870217/604462909807314587353088) (+.f64 (.f64 4 y) (.f64 x -3)) (.f64 z (.f64 (-.f64 y x) -6))))
(if (<=.f64 z -319396837472769600/4294967296) (.f64 (.f64 6 z) x) (if (<=.f64 z 4606299169870217/604462909807314587353088) (+.f64 (.f64 y 4) (.f64 x -3)) (if (<=.f64 z 144999999999999995219704461657292802055900370963349531144289591969233917653892267507712) (.f64 (.f64 6 z) x) (if (<=.f64 z 550000000000000045734229689053419729916677920396489819120761375980738684379718917780587037116223558594031227217436278843319826609659303258137821846165957111709696) (.f64 (.f64 -6 z) y) (.f64 6 (.f64 z x))))))
(if (<=.f64 z -4990575585512025/67108864) (.f64 x (.f64 z 6)) (if (<=.f64 z 4606299169870217/604462909807314587353088) (+.f64 (.f64 4 y) (.f64 x -3)) (if (<=.f64 z 144999999999999995219704461657292802055900370963349531144289591969233917653892267507712) (.f64 x (.f64 z 6)) (if (<=.f64 z 550000000000000045734229689053419729916677920396489819120761375980738684379718917780587037116223558594031227217436278843319826609659303258137821846165957111709696) (.f64 y (.f64 -6 z)) (.f64 6 (.f64 x z))))))
(if (<=.f64 z -319396837472769600/4294967296) (.f64 (.f64 6 z) x) (if (<=.f64 z -7042141580593099/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (.f64 4 y) (if (<=.f64 z -6731576929816207/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (.f64 -3 x) (if (<=.f64 z -3605459240834299/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (.f64 4 y) (if (<=.f64 z -6096514027413073/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (.f64 -3 x) (if (<=.f64 z 6588616572546943/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (.f64 4 y) (if (<=.f64 z 8487309000112633/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904) (.f64 -3 x) (if (<=.f64 z 130412985861258880/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 4 y) (if (<=.f64 z 8271515547340551/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (.f64 -3 x) (if (<=.f64 z 2947709676738335/40564819207303340847894502572032) (.f64 4 y) (if (<=.f64 z 4606299169870217/604462909807314587353088) (.f64 -3 x) (if (<=.f64 z 144999999999999995219704461657292802055900370963349531144289591969233917653892267507712) (.f64 (.f64 6 z) x) (if (<=.f64 z 550000000000000045734229689053419729916677920396489819120761375980738684379718917780587037116223558594031227217436278843319826609659303258137821846165957111709696) (.f64 (.f64 -6 z) y) (.f64 6 (.f64 z x)))))))))))))))
(if (<=.f64 z -4990575585512025/67108864) (.f64 x (.f64 z 6)) (if (<=.f64 z -7042141580593099/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (.f64 4 y) (if (<=.f64 z -6731576929816207/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (.f64 x -3) (if (<=.f64 z -3605459240834299/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (.f64 4 y) (if (<=.f64 z -6096514027413073/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (.f64 x -3) (if (<=.f64 z 6588616572546943/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (.f64 4 y) (if (<=.f64 z 8487309000112633/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904) (.f64 x -3) (if (<=.f64 z 1018851452041085/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 4 y) (if (<=.f64 z 8271515547340551/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (.f64 x -3) (if (<=.f64 z 2947709676738335/40564819207303340847894502572032) (.f64 4 y) (if (<=.f64 z 4606299169870217/604462909807314587353088) (.f64 x -3) (if (<=.f64 z 144999999999999995219704461657292802055900370963349531144289591969233917653892267507712) (.f64 x (.f64 z 6)) (if (<=.f64 z 550000000000000045734229689053419729916677920396489819120761375980738684379718917780587037116223558594031227217436278843319826609659303258137821846165957111709696) (.f64 y (.f64 -6 z)) (.f64 6 (.f64 x z)))))))))))))))
(if (<=.f64 z -319396837472769600/4294967296) (.f64 (.f64 6 z) x) (if (<=.f64 z -7042141580593099/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (.f64 4 y) (if (<=.f64 z -6731576929816207/291996199527820493993034982764818644793166624463907835557068321145553610701355352736378419924311769585833107812710042067884077102168028031888170324462221708048127659159056956805303948303782641664) (.f64 -3 x) (if (<=.f64 z -3605459240834299/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (.f64 4 y) (if (<=.f64 z -6096514027413073/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104) (.f64 -3 x) (if (<=.f64 z 6588616572546943/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416) (.f64 4 y) (if (<=.f64 z 8487309000112633/38981256045599996321413529551500753243504907430380030107471625828851794763065704409862460263528041036901219664925634672733836679460812376186311949185250613678125110799825892119483158621960214593411198373916873515494742391701579499782985454461875862451310955212417110188327314359967656443904) (.f64 -3 x) (if (<=.f64 z 130412985861258880/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (.f64 4 y) (if (<=.f64 z 8271515547340551/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664) (.f64 -3 x) (if (<=.f64 z 2947709676738335/40564819207303340847894502572032) (.f64 4 y) (if (<=.f64 z 4606299169870217/604462909807314587353088) (.f64 -3 x) (.f64 6 (.f64 z x)))))))))))))
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(if (<=.f64 y -13883746448397170059184465789035712707199717115114973694184100032517832448147456) (.f64 4 y) (if (<=.f64 y 3984393871699442688/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (.f64 -3 x) (*.f64 4 y)))
(if (<=.f64 y -13883746448397170059184465789035712707199717115114973694184100032517832448147456) (.f64 4 y) (if (<=.f64 y 3891009640331487/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (.f64 x -3) (*.f64 4 y)))
(*.f64 -3 x)
(*.f64 x -3)

Compiler

Compiled 495 to 344 computations (30.5% saved)

soundness704.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 245 to 185 computations (24.5% saved)

end192.0ms (1.3%)

Compiler: Compiled 462 to 300 computations (35.1% saved)