Details

analyze339.0ms (2.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
36.7%	34.3%	59.3%	0.1%	6.2%	0%	0%	10
44.2%	40.6%	51.3%	0.1%	8%	0%	0%	11
52.6%	48%	43.2%	0.1%	8.7%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample2.1s (15.7%)

Results

1.6s	7753×	body	256	valid
274.0ms	1388×	body	256	infinite
86.0ms	239×	body	1024	valid
63.0ms	264×	body	512	valid

Bogosity

preprocess95.0ms (0.7%)

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)

simplify325.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
▶	0.1b	(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 31 computations (36.7% saved)

series12.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

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

rewrite88.0ms (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 (-.f64 y x) 6)
(-.f64 (/.f64 2 3) z)
(+.f64 x (.f64 (.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)))))))
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (-.f64 2/3 z) (sqrt.f64 (.f64 (-.f64 y x) 6))) (sqrt.f64 (*.f64 (-.f64 y x) 6)) x)))))

simplify410.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

5346×	`fma-neg_binary64`
602×	`unsub-neg_binary64`
524×	`fma-def_binary64`
305×	`associate--r+_binary64`
276×	`associate--r-_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	1556
1	103	1496
2	250	1211
3	853	983
4	2165	965
5	4429	965
6	5491	965
7	6212	965
8	6597	965
9	6715	965
10	6785	965
11	6801	965
12	6801	965
13	6801	965
14	6801	965
15	7348	965
16	7348	965
17	7348	965

Stop Event

1×	node limit

Counts

264 → 186

Calls

Call 1

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

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

Outputs

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

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

simplify208.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

130 → 100

Calls

Call 1

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

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

eval104.0ms (0.8%)

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

prune96.0ms (0.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

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

Error

Counts

288 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	30.0b	(*.f64 (fma.f64 -6 z 4) y)
	33.2b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
	30.0b	(.f64 (+.f64 4 (.f64 -6 z)) y)
▶	29.3b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 (-.f64 2/3 z))) (+.f64 y x)))
▶	38.5b	(.f64 -6 (.f64 z (-.f64 y x)))
	0.4b	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
	0.2b	(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
▶	0.4b	(+.f64 x (+.f64 0 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))
	0.3b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
	34.2b	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))))
	0.3b	(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (-.f64 (/.f64 2 3) z)))
	12.1b	(+.f64 x (/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z)))
▶	30.5b	(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
	38.8b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
	25.6b	(+.f64 (*.f64 4 (-.f64 y x)) x)
▶	0.1b	(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (+.f64 4 (*.f64 -6 z)) y))
	33.1b	(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))

Compiler

Compiled 492 to 354 computations (28% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 4 (*.f64 -6 z))
✓	0.0b	(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (+.f64 4 (*.f64 -6 z)) y))
✓	0.1b	(.f64 (+.f64 4 (.f64 -6 z)) y)
✓	0.1b	(.f64 (+.f64 3 (.f64 -6 z)) x)

Compiler

Compiled 63 to 47 computations (25.4% saved)

series16.0ms (0.1%)

Counts

4 → 45

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (+.f64 4 (*.f64 -6 z)) y))
1.0ms	z	@	0	(.f64 (+.f64 3 (.f64 -6 z)) x)
1.0ms	x	@	0	(.f64 (+.f64 3 (.f64 -6 z)) x)
1.0ms	y	@	0	(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (+.f64 4 (*.f64 -6 z)) y))
1.0ms	z	@	0	(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (+.f64 4 (*.f64 -6 z)) y))

rewrite105.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`log-prod_binary64`
597×	`fma-def_binary64`
285×	`fma-neg_binary64`
272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	329	37
2	4375	37

Stop Event

1×	node limit

Counts

4 → 193

Calls

Call 1

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

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

simplify177.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1273×	`fma-neg_binary64`
853×	`fma-def_binary64`
174×	`distribute-rgt-in_binary64`
170×	`sub-neg_binary64`
169×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	513
1	91	444
2	232	444
3	504	427
4	1423	409
5	2755	409
6	3656	409
7	3952	409
8	4001	409
9	4006	409
10	4006	409
11	4899	409
12	4899	409

Stop Event

1×

saturated

Counts

238 → 216

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 8 computations (63.6% saved)

series12.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(.f64 -6 (.f64 z (-.f64 y 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 -6 (.f64 z (-.f64 y x)))
1.0ms	y	@	-inf	(.f64 -6 (.f64 z (-.f64 y x)))

rewrite112.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×

saturated

Counts

94 → 47

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 21 computations (34.4% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

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

rewrite94.0ms (0.7%)

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)))))))

simplify75.0ms (0.6%)

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)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 2/3 z)
✓	0.0b	(+.f64 x (+.f64 0 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))
✓	0.2b	(.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))
✓	0.2b	(*.f64 (-.f64 y x) (-.f64 2/3 z))

Compiler

Compiled 55 to 32 computations (41.8% saved)

series10.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`log-prod_binary64`
580×	`fma-def_binary64`
259×	`fma-neg_binary64`
243×	`pow1/3_binary64`
243×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	307	37
2	4146	37

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

Outputs

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

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

simplify527.0ms (4%)

Algorithm

1×	egg-herbie

Rules

5382×	`fma-def_binary64`
636×	`unsub-neg_binary64`
405×	`fma-neg_binary64`
358×	`associate--r+_binary64`
284×	`sub-neg_binary64`

Iterations

Useful iterations: 16 (0.0ms)

Iter	Nodes	Cost
0	43	1850
1	110	1790
2	296	1424
3	937	1108
4	2327	1108
5	4610	1108
6	5673	1108
7	6256	1108
8	6402	1108
9	6424	1108
10	6424	1108
11	6424	1108
12	6424	1108
13	6427	1108
14	6964	1108
15	6964	1108
16	6964	1105

Stop Event

1×	node limit

Counts

275 → 200

Calls

Call 1

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

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 6 (-.f64 2/3 z))
✓	1.4b	(.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 (-.f64 2/3 z)))
✓	2.9b	(-.f64 (.f64 y y) (.f64 x x))
✓	25.9b	(/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 (-.f64 2/3 z))) (+.f64 y x))

Compiler

Compiled 81 to 33 computations (59.3% saved)

series43.0ms (0.3%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
11.0ms	y	@	-inf	(-.f64 (.f64 y y) (.f64 x x))
2.0ms	y	@	0	(/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 (-.f64 2/3 z))) (+.f64 y x))
2.0ms	z	@	0	(/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 (-.f64 2/3 z))) (+.f64 y x))
2.0ms	x	@	0	(/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 (-.f64 2/3 z))) (+.f64 y x))
2.0ms	x	@	inf	(/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 (-.f64 2/3 z))) (+.f64 y x))

rewrite216.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`log-prod_binary64`
604×	`fma-def_binary64`
291×	`expm1-udef_binary64`
291×	`log1p-udef_binary64`
271×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	328	49
2	4840	49

Stop Event

1×	node limit

Counts

4 → 323

Calls

Call 1

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

simplify161.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

575×	`fma-neg_binary64`
560×	`distribute-rgt-in_binary64`
534×	`distribute-lft-in_binary64`
363×	`*-commutative_binary64`
295×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	2050
1	200	1912
2	620	1742
3	2608	1446
4	7260	1446

Stop Event

1×	node limit

Counts

431 → 362

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

eval477.0ms (3.6%)

Compiler: Compiled 20547 to 11255 computations (45.2% saved)

prune237.0ms (1.8%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	921	15	936
Fresh	8	4	12
Picked	1	0	1
Done	1	3	4
Total	931	22	953

Error

Counts

953 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	8.2b	(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (-.f64 (/.f64 16 (+.f64 4 (.f64 6 z))) (/.f64 (.f64 36 (.f64 z z)) (+.f64 4 (.f64 6 z)))) y))
	33.2b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
▶	30.4b	(+.f64 x (+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z))))
▶	38.5b	(.f64 (+.f64 (.f64 6 x) (*.f64 -6 y)) z)
	30.0b	(.f64 (+.f64 4 (.f64 -6 z)) y)
▶	43.9b	(+.f64 x (*.f64 y 4))
	49.8b	(.f64 z (.f64 -6 y))
	25.6b	(+.f64 (.f64 -3 x) (.f64 4 y))
▶	0.1b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
	49.1b	(/.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
	51.4b	(.f64 z (.f64 6 x))
	30.5b	(+.f64 x (.f64 6 (+.f64 (.f64 y 2/3) (*.f64 y (neg.f64 z)))))
	51.4b	(.f64 6 (.f64 z x))
	38.8b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
✓	38.5b	(.f64 -6 (.f64 z (-.f64 y x)))
	25.6b	(fma.f64 x -3 (*.f64 y 4))
✓	30.5b	(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
✓	0.4b	(+.f64 x (+.f64 0 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))
	38.5b	(.f64 -6 (+.f64 (.f64 z y) (*.f64 z (neg.f64 x))))
▶	49.8b	(.f64 -6 (.f64 z y))
	33.1b	(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
	10.9b	(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (.f64 6 z)))) (.f64 (+.f64 4 (*.f64 -6 z)) y))

Compiler

Compiled 546 to 408 computations (25.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 23 computations (41% saved)

series6.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`log-prod_binary64`
445×	`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	3593	27

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

Outputs

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

simplify443.0ms (3.3%)

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

168 → 117

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)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series9.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (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))))))))

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

35 → 12

Calls

Call 1

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

localize52.0ms (0.4%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 20 computations (33.3% saved)

series27.0ms (0.2%)

Counts

2 → 30

Calls

15 calls:

Time	Variable		Point	Expression
15.0ms	y	@	0	(+.f64 (.f64 6 x) (.f64 -6 y))
2.0ms	z	@	0	(.f64 (+.f64 (.f64 6 x) (*.f64 -6 y)) z)
1.0ms	x	@	0	(.f64 (+.f64 (.f64 6 x) (*.f64 -6 y)) z)
1.0ms	z	@	inf	(.f64 (+.f64 (.f64 6 x) (*.f64 -6 y)) z)
1.0ms	y	@	0	(.f64 (+.f64 (.f64 6 x) (*.f64 -6 y)) z)

rewrite121.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`log-prod_binary64`
371×	`exp-prod_binary64`
364×	`prod-exp_binary64`
326×	`pow-prod-down_binary64`
299×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	210	19
2	2656	19

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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

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

simplify33.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

17×	`fma-def_binary64`
11×	`*-commutative_binary64`
5×	`associate-r_binary64`
5×	`associate-l_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	318
1	24	318
2	40	300
3	52	264
4	58	264

Stop Event

1×

saturated

Counts

139 → 117

Calls

Call 1

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

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

localize65.0ms (0.5%)

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 39 to 21 computations (46.2% saved)

series7.0ms (0.1%)

Counts

2 → 15

Calls

12 calls:

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

rewrite102.0ms (0.8%)

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

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(#(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))))))

simplify39.0ms (0.3%)

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))

eval175.0ms (1.3%)

Compiler: Compiled 6474 to 4142 computations (36% saved)

prune150.0ms (1.1%)

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	405	7	412
Fresh	6	8	14
Picked	0	1	1
Done	0	7	7
Total	411	23	434

Error

Counts

434 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.4b	(+.f64 x (+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z))))
✓	38.5b	(.f64 (+.f64 (.f64 6 x) (*.f64 -6 y)) z)
	33.2b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
	30.0b	(.f64 (+.f64 4 (.f64 -6 z)) y)
	49.8b	(.f64 y (.f64 -6 z))
	25.6b	(+.f64 (.f64 -3 x) (.f64 4 y))
✓	0.1b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
	30.5b	(+.f64 x (.f64 6 (+.f64 (.f64 y 2/3) (*.f64 y (neg.f64 z)))))
▶	38.8b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
✓	49.8b	(.f64 -6 (.f64 z y))
▶	51.4b	(.f64 (.f64 6 x) z)
	25.6b	(fma.f64 x -3 (*.f64 y 4))
▶	33.1b	(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
	10.9b	(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (.f64 6 z)))) (.f64 (+.f64 4 (*.f64 -6 z)) y))
▶	51.4b	(.f64 6 (.f64 z x))
▶	8.2b	(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (-.f64 (/.f64 16 (+.f64 4 (.f64 6 z))) (/.f64 (.f64 36 (.f64 z z)) (+.f64 4 (.f64 6 z)))) y))
✓	43.9b	(+.f64 x (*.f64 y 4))
	38.8b	(+.f64 x (.f64 (-.f64 y x) (.f64 -6 z)))
✓	30.5b	(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
	49.1b	(/.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
✓	38.5b	(.f64 -6 (.f64 z (-.f64 y x)))
✓	0.4b	(+.f64 x (+.f64 0 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))
	49.8b	(.f64 (.f64 -6 y) z)

Compiler

Compiled 504 to 377 computations (25.2% saved)

localize60.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 16 (+.f64 4 (*.f64 6 z)))
	0.1b	(.f64 (+.f64 3 (.f64 -6 z)) x)
✓	0.2b	(.f64 36 (.f64 z z))
✓	7.6b	(/.f64 (.f64 36 (.f64 z z)) (+.f64 4 (*.f64 6 z)))

Compiler

Compiled 142 to 102 computations (28.2% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 (.f64 36 (.f64 z z)) (+.f64 4 (*.f64 6 z)))
1.0ms	z	@	0	(.f64 36 (.f64 z z))
1.0ms	z	@	inf	(.f64 36 (.f64 z z))
1.0ms	z	@	inf	(/.f64 (.f64 36 (.f64 z z)) (+.f64 4 (*.f64 6 z)))
0.0ms	z	@	inf	(/.f64 16 (+.f64 4 (*.f64 6 z)))

rewrite104.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log-prod_binary64`
310×	`pow-prod-down_binary64`
307×	`pow2_binary64`
265×	`prod-diff_binary64`
210×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	265	29
2	3397	29

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs
(/.f64 (.f64 36 (.f64 z z)) (+.f64 4 (*.f64 6 z)))
(.f64 36 (.f64 z z))
(/.f64 16 (+.f64 4 (*.f64 6 z)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 36 (/.f64 1 (*.f64 (fma.f64 z 6 4) (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 36 (*.f64 (*.f64 z z) (/.f64 1 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z z) (*.f64 36 (/.f64 1 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 36 (*.f64 z z)) (/.f64 1 (fma.f64 z 6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 6) (*.f64 (*.f64 z 6) (/.f64 1 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1296 (pow.f64 z 4))) (*.f64 (cbrt.f64 (*.f64 36 (*.f64 z z))) (/.f64 1 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4)))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 z 6) (sqrt.f64 (fma.f64 z 6 4))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 z 6) (sqrt.f64 (fma.f64 z 6 4))) 4)) (cbrt.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z 6) (sqrt.f64 (fma.f64 z 6 4))) (/.f64 (*.f64 z 6) (sqrt.f64 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z z) -36) (/.f64 1 (neg.f64 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 z 6 4)) (*.f64 36 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 36 z) (*.f64 z (/.f64 1 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z z) 1) (/.f64 36 (fma.f64 z 6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 36 (fma.f64 z 6 4)) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1296 (pow.f64 z 4))) 1) (/.f64 (cbrt.f64 (*.f64 36 (*.f64 z z))) (fma.f64 z 6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z 6) 1) (/.f64 (*.f64 z 6) (fma.f64 z 6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 36 z) 1) (/.f64 z (fma.f64 z 6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 36 (pow.f64 (cbrt.f64 (fma.f64 z 6 4)) 2)) (/.f64 (*.f64 z z) (cbrt.f64 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z z) (pow.f64 (cbrt.f64 (fma.f64 z 6 4)) 2)) (/.f64 36 (cbrt.f64 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z 6 4)) -2) (/.f64 (*.f64 36 (*.f64 z z)) (cbrt.f64 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1296 (pow.f64 z 4))) (pow.f64 (cbrt.f64 (fma.f64 z 6 4)) 2)) (cbrt.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z 6) (pow.f64 (cbrt.f64 (fma.f64 z 6 4)) 2)) (/.f64 (*.f64 z 6) (cbrt.f64 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 36 z) (pow.f64 (cbrt.f64 (fma.f64 z 6 4)) 2)) (/.f64 z (cbrt.f64 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 36 (sqrt.f64 (fma.f64 z 6 4))) (/.f64 (*.f64 z z) (sqrt.f64 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z z) (sqrt.f64 (fma.f64 z 6 4))) (/.f64 36 (sqrt.f64 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 z 6 4) -1/2) (/.f64 (*.f64 36 (*.f64 z z)) (sqrt.f64 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1296 (pow.f64 z 4))) (sqrt.f64 (fma.f64 z 6 4))) (/.f64 (cbrt.f64 (*.f64 36 (*.f64 z z))) (sqrt.f64 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 36 z) (sqrt.f64 (fma.f64 z 6 4))) (/.f64 z (sqrt.f64 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 36 (*.f64 z z)) (fma.f64 (pow.f64 z 3) 216 64)) (fma.f64 (*.f64 z 6) (fma.f64 z 6 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 36 (*.f64 z z)) (+.f64 16 (*.f64 (*.f64 z z) -36))) (+.f64 4 (*.f64 -6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 z 6) (sqrt.f64 (fma.f64 z 6 4))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 z 6) (sqrt.f64 (fma.f64 z 6 4))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z 6) (sqrt.f64 (fma.f64 z 6 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z -2) (/.f64 (fma.f64 z 6 4) 36)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 z 6) 6) (pow.f64 (fma.f64 z 6 4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 z -2) (/.f64 (fma.f64 z 6 4) 36)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 36 (*.f64 z z)) (neg.f64 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 z 6) (sqrt.f64 (fma.f64 z 6 4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 z 6) (sqrt.f64 (fma.f64 z 6 4))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 z 6) 6) (pow.f64 (fma.f64 z 6 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 36 (/.f64 (*.f64 z z) (fma.f64 z 6 4)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 36 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 36) (*.f64 z z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 36) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 36) (*.f64 z z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 36) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 36 (*.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 36 (*.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1296 (pow.f64 z 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z 6) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z 6)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 36 (*.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z 6)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z 3) 216) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1296 (pow.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 36) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 36 (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z 6) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 36 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 36 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 z 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 z 6))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 16 (fma.f64 z 6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 16 (fma.f64 z 6 4)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 16 (fma.f64 z 6 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 16 (fma.f64 z 6 4))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 16 (fma.f64 z 6 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 16 (fma.f64 z 6 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 1 (fma.f64 z 6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 16 (fma.f64 z 6 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 16 (fma.f64 z 6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 16 (fma.f64 z 6 4))) (cbrt.f64 (/.f64 256 (pow.f64 (fma.f64 z 6 4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 256 (pow.f64 (fma.f64 z 6 4) 2))) (cbrt.f64 (/.f64 16 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (sqrt.f64 (fma.f64 z 6 4))) (/.f64 4 (sqrt.f64 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -16 (/.f64 1 (neg.f64 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 z 6 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 16 (fma.f64 (pow.f64 z 3) 216 64)) (fma.f64 (*.f64 z 6) (fma.f64 z 6 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 16 (+.f64 16 (*.f64 (*.f64 z z) -36))) (+.f64 4 (*.f64 -6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 16 (fma.f64 z 6 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 256 (pow.f64 (fma.f64 z 6 4) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 16 (fma.f64 z 6 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 16 (fma.f64 z 6 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (sqrt.f64 (fma.f64 z 6 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 z 6 4) 1/16) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 z 6 4) 1/16) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 256 (pow.f64 (fma.f64 z 6 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 16 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 16 (fma.f64 z 6 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 16 (fma.f64 z 6 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 16 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 16 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 16 (fma.f64 z 6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 16 (fma.f64 z 6 4))) 1))))))

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-def_binary64`
417×	`times-frac_binary64`
327×	`fma-neg_binary64`
288×	`associate-*r/_binary64`
286×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	417
1	151	411
2	384	409
3	1075	396
4	3142	396
5	7426	396

Stop Event

1×	node limit

Counts

140 → 136

Calls

Call 1

Inputs
(*.f64 9 (pow.f64 z 2))
(+.f64 (.f64 -27/2 (pow.f64 z 3)) (.f64 9 (pow.f64 z 2)))
(+.f64 (.f64 -27/2 (pow.f64 z 3)) (+.f64 (.f64 9 (pow.f64 z 2)) (*.f64 81/4 (pow.f64 z 4))))
(+.f64 (.f64 -27/2 (pow.f64 z 3)) (+.f64 (.f64 9 (pow.f64 z 2)) (+.f64 (.f64 81/4 (pow.f64 z 4)) (.f64 -243/8 (pow.f64 z 5)))))
(*.f64 6 z)
(-.f64 (*.f64 6 z) 4)
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 z)) (.f64 6 z)) 4)
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 z)) (.f64 6 z)) (+.f64 4 (*.f64 16/9 (/.f64 1 (pow.f64 z 2)))))
(*.f64 6 z)
(-.f64 (*.f64 6 z) 4)
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 z)) (.f64 6 z)) 4)
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 z)) (.f64 6 z)) (+.f64 4 (*.f64 16/9 (/.f64 1 (pow.f64 z 2)))))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
4
(+.f64 4 (*.f64 -6 z))
(+.f64 (.f64 9 (pow.f64 z 2)) (+.f64 4 (.f64 -6 z)))
(+.f64 (.f64 -27/2 (pow.f64 z 3)) (+.f64 (.f64 9 (pow.f64 z 2)) (+.f64 4 (*.f64 -6 z))))
(/.f64 8/3 z)
(-.f64 (.f64 8/3 (/.f64 1 z)) (.f64 16/9 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 32/27 (/.f64 1 (pow.f64 z 3))) (.f64 8/3 (/.f64 1 z))) (*.f64 16/9 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 32/27 (/.f64 1 (pow.f64 z 3))) (.f64 8/3 (/.f64 1 z))) (+.f64 (.f64 64/81 (/.f64 1 (pow.f64 z 4))) (.f64 16/9 (/.f64 1 (pow.f64 z 2)))))
(/.f64 8/3 z)
(-.f64 (.f64 8/3 (/.f64 1 z)) (.f64 16/9 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 32/27 (/.f64 1 (pow.f64 z 3))) (.f64 8/3 (/.f64 1 z))) (*.f64 16/9 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 (.f64 32/27 (/.f64 1 (pow.f64 z 3))) (.f64 8/3 (/.f64 1 z))) (+.f64 (.f64 64/81 (/.f64 1 (pow.f64 z 4))) (.f64 16/9 (/.f64 1 (pow.f64 z 2)))))

Outputs
(*.f64 9 (pow.f64 z 2))
(.f64 9 (.f64 z z))
(+.f64 (.f64 -27/2 (pow.f64 z 3)) (.f64 9 (pow.f64 z 2)))
(fma.f64 -27/2 (pow.f64 z 3) (.f64 9 (.f64 z z)))
(fma.f64 9 (.f64 z z) (.f64 -27/2 (pow.f64 z 3)))
(.f64 (.f64 z z) (+.f64 (*.f64 z -27/2) 9))
(.f64 (.f64 z z) (fma.f64 z -27/2 9))
(.f64 z (.f64 z (fma.f64 z -27/2 9)))
(+.f64 (.f64 -27/2 (pow.f64 z 3)) (+.f64 (.f64 9 (pow.f64 z 2)) (*.f64 81/4 (pow.f64 z 4))))
(fma.f64 -27/2 (pow.f64 z 3) (fma.f64 9 (.f64 z z) (.f64 81/4 (pow.f64 z 4))))
(fma.f64 -27/2 (pow.f64 z 3) (fma.f64 81/4 (pow.f64 z 4) (.f64 9 (.f64 z z))))
(fma.f64 81/4 (pow.f64 z 4) (.f64 (.f64 z z) (+.f64 (*.f64 z -27/2) 9)))
(fma.f64 z (.f64 z (fma.f64 z -27/2 9)) (.f64 81/4 (pow.f64 z 4)))
(+.f64 (.f64 -27/2 (pow.f64 z 3)) (+.f64 (.f64 9 (pow.f64 z 2)) (+.f64 (.f64 81/4 (pow.f64 z 4)) (.f64 -243/8 (pow.f64 z 5)))))
(fma.f64 -27/2 (pow.f64 z 3) (fma.f64 9 (.f64 z z) (fma.f64 81/4 (pow.f64 z 4) (.f64 -243/8 (pow.f64 z 5)))))
(fma.f64 9 (.f64 z z) (fma.f64 -27/2 (pow.f64 z 3) (fma.f64 81/4 (pow.f64 z 4) (.f64 -243/8 (pow.f64 z 5)))))
(fma.f64 81/4 (pow.f64 z 4) (fma.f64 -243/8 (pow.f64 z 5) (.f64 (.f64 z z) (fma.f64 z -27/2 9))))
(fma.f64 z (.f64 z (fma.f64 z -27/2 9)) (fma.f64 81/4 (pow.f64 z 4) (.f64 -243/8 (pow.f64 z 5))))
(*.f64 6 z)
(*.f64 z 6)
(-.f64 (*.f64 6 z) 4)
(fma.f64 6 z -4)
(fma.f64 z 6 -4)
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 z)) (.f64 6 z)) 4)
(+.f64 (/.f64 8/3 z) (fma.f64 6 z -4))
(+.f64 (fma.f64 z 6 -4) (/.f64 8/3 z))
(fma.f64 z 6 (-.f64 -4 (/.f64 -8/3 z)))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 z)) (.f64 6 z)) (+.f64 4 (*.f64 16/9 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (+.f64 (/.f64 8/3 z) (fma.f64 6 z -4)) (/.f64 16/9 (*.f64 z z)))
(+.f64 (/.f64 8/3 z) (-.f64 (fma.f64 z 6 -4) (/.f64 16/9 (*.f64 z z))))
(+.f64 (/.f64 8/3 z) (fma.f64 z 6 (-.f64 -4 (/.f64 16/9 (*.f64 z z)))))
(+.f64 (fma.f64 z 6 -4) (+.f64 (/.f64 8/3 z) (/.f64 -16/9 (*.f64 z z))))
(-.f64 (fma.f64 z 6 -4) (+.f64 (/.f64 16/9 (*.f64 z z)) (/.f64 -8/3 z)))
(+.f64 (fma.f64 z 6 (-.f64 -4 (/.f64 -8/3 z))) (/.f64 -16/9 (*.f64 z z)))
(*.f64 6 z)
(*.f64 z 6)
(-.f64 (*.f64 6 z) 4)
(fma.f64 6 z -4)
(fma.f64 z 6 -4)
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 z)) (.f64 6 z)) 4)
(+.f64 (/.f64 8/3 z) (fma.f64 6 z -4))
(+.f64 (fma.f64 z 6 -4) (/.f64 8/3 z))
(fma.f64 z 6 (-.f64 -4 (/.f64 -8/3 z)))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 z)) (.f64 6 z)) (+.f64 4 (*.f64 16/9 (/.f64 1 (pow.f64 z 2)))))
(-.f64 (+.f64 (/.f64 8/3 z) (fma.f64 6 z -4)) (/.f64 16/9 (*.f64 z z)))
(+.f64 (/.f64 8/3 z) (-.f64 (fma.f64 z 6 -4) (/.f64 16/9 (*.f64 z z))))
(+.f64 (/.f64 8/3 z) (fma.f64 z 6 (-.f64 -4 (/.f64 16/9 (*.f64 z z)))))
(+.f64 (fma.f64 z 6 -4) (+.f64 (/.f64 8/3 z) (/.f64 -16/9 (*.f64 z z))))
(-.f64 (fma.f64 z 6 -4) (+.f64 (/.f64 16/9 (*.f64 z z)) (/.f64 -8/3 z)))
(+.f64 (fma.f64 z 6 (-.f64 -4 (/.f64 -8/3 z))) (/.f64 -16/9 (*.f64 z z)))
(*.f64 36 (pow.f64 z 2))
(.f64 (.f64 z z) 36)
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 (.f64 z z) 36)
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 (.f64 z z) 36)
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 (.f64 z z) 36)
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 (.f64 z z) 36)
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 (.f64 z z) 36)
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 (.f64 z z) 36)
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 (.f64 z z) 36)
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 (.f64 z z) 36)
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 (.f64 z z) 36)
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 (.f64 z z) 36)
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 (.f64 z z) 36)
(.f64 z (.f64 z 36))
4
(+.f64 4 (*.f64 -6 z))
(+.f64 4 (*.f64 z -6))
(fma.f64 z -6 4)
(+.f64 (.f64 9 (pow.f64 z 2)) (+.f64 4 (.f64 -6 z)))
(fma.f64 9 (.f64 z z) (+.f64 4 (.f64 z -6)))
(fma.f64 9 (*.f64 z z) (fma.f64 z -6 4))
(fma.f64 z (fma.f64 9 z -6) 4)
(+.f64 (.f64 -27/2 (pow.f64 z 3)) (+.f64 (.f64 9 (pow.f64 z 2)) (+.f64 4 (*.f64 -6 z))))
(fma.f64 -27/2 (pow.f64 z 3) (fma.f64 9 (.f64 z z) (+.f64 4 (.f64 z -6))))
(fma.f64 -27/2 (pow.f64 z 3) (fma.f64 9 (*.f64 z z) (fma.f64 z -6 4)))
(fma.f64 9 (*.f64 z z) (fma.f64 -27/2 (pow.f64 z 3) (fma.f64 z -6 4)))
(fma.f64 (*.f64 z z) (fma.f64 z -27/2 9) (fma.f64 z -6 4))
(fma.f64 z (*.f64 z (fma.f64 z -27/2 9)) (fma.f64 z -6 4))
(/.f64 8/3 z)
(-.f64 (.f64 8/3 (/.f64 1 z)) (.f64 16/9 (/.f64 1 (pow.f64 z 2))))
(-.f64 (/.f64 8/3 z) (/.f64 16/9 (*.f64 z z)))
(+.f64 (/.f64 8/3 z) (/.f64 -16/9 (*.f64 z z)))
(-.f64 (+.f64 (.f64 32/27 (/.f64 1 (pow.f64 z 3))) (.f64 8/3 (/.f64 1 z))) (*.f64 16/9 (/.f64 1 (pow.f64 z 2))))
(+.f64 (/.f64 32/27 (pow.f64 z 3)) (-.f64 (/.f64 8/3 z) (/.f64 16/9 (*.f64 z z))))
(+.f64 (/.f64 8/3 z) (+.f64 (/.f64 32/27 (pow.f64 z 3)) (/.f64 -16/9 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 8/3 z) (/.f64 -16/9 (*.f64 z z))) (/.f64 32/27 (pow.f64 z 3)))
(-.f64 (+.f64 (.f64 32/27 (/.f64 1 (pow.f64 z 3))) (.f64 8/3 (/.f64 1 z))) (+.f64 (.f64 64/81 (/.f64 1 (pow.f64 z 4))) (.f64 16/9 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (/.f64 32/27 (pow.f64 z 3)) (-.f64 (/.f64 8/3 z) (+.f64 (/.f64 16/9 (*.f64 z z)) (/.f64 64/81 (pow.f64 z 4)))))
(-.f64 (+.f64 (/.f64 8/3 z) (+.f64 (/.f64 32/27 (pow.f64 z 3)) (/.f64 -16/9 (*.f64 z z)))) (/.f64 64/81 (pow.f64 z 4)))
(+.f64 (/.f64 32/27 (pow.f64 z 3)) (+.f64 (/.f64 8/3 z) (+.f64 (/.f64 -16/9 (*.f64 z z)) (/.f64 -64/81 (pow.f64 z 4)))))
(+.f64 (/.f64 8/3 z) (+.f64 (/.f64 32/27 (pow.f64 z 3)) (+.f64 (/.f64 -16/9 (*.f64 z z)) (/.f64 -64/81 (pow.f64 z 4)))))
(/.f64 8/3 z)
(-.f64 (.f64 8/3 (/.f64 1 z)) (.f64 16/9 (/.f64 1 (pow.f64 z 2))))
(-.f64 (/.f64 8/3 z) (/.f64 16/9 (*.f64 z z)))
(+.f64 (/.f64 8/3 z) (/.f64 -16/9 (*.f64 z z)))
(-.f64 (+.f64 (.f64 32/27 (/.f64 1 (pow.f64 z 3))) (.f64 8/3 (/.f64 1 z))) (*.f64 16/9 (/.f64 1 (pow.f64 z 2))))
(+.f64 (/.f64 32/27 (pow.f64 z 3)) (-.f64 (/.f64 8/3 z) (/.f64 16/9 (*.f64 z z))))
(+.f64 (/.f64 8/3 z) (+.f64 (/.f64 32/27 (pow.f64 z 3)) (/.f64 -16/9 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 8/3 z) (/.f64 -16/9 (*.f64 z z))) (/.f64 32/27 (pow.f64 z 3)))
(-.f64 (+.f64 (.f64 32/27 (/.f64 1 (pow.f64 z 3))) (.f64 8/3 (/.f64 1 z))) (+.f64 (.f64 64/81 (/.f64 1 (pow.f64 z 4))) (.f64 16/9 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (/.f64 32/27 (pow.f64 z 3)) (-.f64 (/.f64 8/3 z) (+.f64 (/.f64 16/9 (*.f64 z z)) (/.f64 64/81 (pow.f64 z 4)))))
(-.f64 (+.f64 (/.f64 8/3 z) (+.f64 (/.f64 32/27 (pow.f64 z 3)) (/.f64 -16/9 (*.f64 z z)))) (/.f64 64/81 (pow.f64 z 4)))
(+.f64 (/.f64 32/27 (pow.f64 z 3)) (+.f64 (/.f64 8/3 z) (+.f64 (/.f64 -16/9 (*.f64 z z)) (/.f64 -64/81 (pow.f64 z 4)))))
(+.f64 (/.f64 8/3 z) (+.f64 (/.f64 32/27 (pow.f64 z 3)) (+.f64 (/.f64 -16/9 (*.f64 z z)) (/.f64 -64/81 (pow.f64 z 4)))))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite74.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`pow1_binary64`
514×	`add-log-exp_binary64`
514×	`log1p-expm1-u_binary64`
514×	`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	1399	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

35 → 12

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 24 computations (25% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite49.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`pow1_binary64`
609×	`add-log-exp_binary64`
609×	`log1p-expm1-u_binary64`
609×	`expm1-log1p-u_binary64`
600×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	5
2	1586	5

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	6	9

Stop Event

1×

saturated

Counts

35 → 34

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 15 computations (57.1% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))
0.0ms	y	@	0	(.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))
0.0ms	x	@	-inf	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
0.0ms	y	@	-inf	(.f64 (.f64 (-.f64 y x) 6) (neg.f64 z))
0.0ms	x	@	0	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))

rewrite192.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

Outputs

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

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

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

212 → 156

Calls

Call 1

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

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

eval498.0ms (3.8%)

Compiler: Compiled 10485 to 7186 computations (31.5% saved)

prune81.0ms (0.6%)

Pruning

25 alts after pruning (14 fresh and 11 done)

	Pruned	Kept	Total
New	447	6	453
Fresh	2	8	10
Picked	0	1	1
Done	2	10	12
Total	451	25	476

Error

Counts

476 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.4b	(+.f64 x (+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z))))
✓	38.5b	(.f64 (+.f64 (.f64 6 x) (*.f64 -6 y)) z)
	33.2b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
	30.0b	(.f64 (+.f64 4 (.f64 -6 z)) y)
	49.8b	(.f64 y (.f64 -6 z))
	62.5b	x
	38.8b	(-.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
	25.6b	(+.f64 (.f64 -3 x) (.f64 4 y))
✓	0.1b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
	49.1b	(/.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
	44.2b	(.f64 -1 (.f64 3 x))
	30.5b	(+.f64 x (.f64 6 (+.f64 (.f64 y 2/3) (*.f64 y (neg.f64 z)))))
	40.2b	(.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (*.f64 6 z))))
✓	38.8b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
	25.6b	(fma.f64 x -3 (*.f64 y 4))
✓	33.1b	(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
	51.4b	(.f64 -1 (.f64 (*.f64 -6 z) x))
✓	51.4b	(.f64 6 (.f64 z x))
	15.7b	(+.f64 (.f64 -1 (.f64 3 x)) (.f64 (-.f64 (/.f64 16 (+.f64 4 (.f64 6 z))) (/.f64 (.f64 36 (.f64 z z)) (+.f64 4 (*.f64 6 z)))) y))
✓	43.9b	(+.f64 x (*.f64 y 4))
✓	30.5b	(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
✓	38.5b	(.f64 -6 (.f64 z (-.f64 y x)))
✓	0.4b	(+.f64 x (+.f64 0 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))
✓	51.4b	(.f64 (.f64 6 x) z)
	49.8b	(.f64 (.f64 -6 y) z)

Compiler

Compiled 301 to 226 computations (24.9% saved)

regimes215.0ms (1.6%)

Counts

47 → 1

Calls

Call 1

Inputs
x
(.f64 -1 (.f64 3 x))
(.f64 y (.f64 -6 z))
(.f64 (.f64 6 x) z)
(.f64 6 (.f64 z x))
(.f64 (.f64 -6 y) z)
(+.f64 x (*.f64 y 4))
(.f64 z (.f64 -6 y))
(.f64 z (.f64 6 x))
(.f64 6 (.f64 z x))
(.f64 -6 (.f64 z y))
(.f64 -1 (.f64 (*.f64 -6 z) x))
(+.f64 (.f64 -3 x) (.f64 4 y))
(.f64 (+.f64 4 (.f64 -6 z)) y)
(.f64 -6 (.f64 z (-.f64 y x)))
(+.f64 (*.f64 4 (-.f64 y x)) x)
(-.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(+.f64 x (.f64 (-.f64 y x) (.f64 -6 z)))
(.f64 (+.f64 (.f64 6 x) (*.f64 -6 y)) z)
(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
(+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))
(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
(.f64 -6 (+.f64 (.f64 z y) (*.f64 z (neg.f64 x))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
(+.f64 x (+.f64 (.f64 4 y) (.f64 -6 (*.f64 y z))))
(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(+.f64 x (.f64 6 (+.f64 (.f64 y 2/3) (*.f64 y (neg.f64 z)))))
(+.f64 x (+.f64 0 (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z)))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(/.f64 (.f64 (.f64 -6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (-.f64 (/.f64 2 3) z)))
(.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (*.f64 6 z))))
(+.f64 x (/.f64 (.f64 (-.f64 4/9 (.f64 z z)) (*.f64 (-.f64 y x) 6)) (+.f64 2/3 z)))
(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 (-.f64 2/3 z))) (+.f64 y x)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (.f64 6 z)))) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(+.f64 (.f64 -1 (.f64 3 x)) (.f64 (-.f64 (/.f64 16 (+.f64 4 (.f64 6 z))) (/.f64 (.f64 36 (.f64 z z)) (+.f64 4 (*.f64 6 z)))) y))
(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (-.f64 (/.f64 16 (+.f64 4 (.f64 6 z))) (/.f64 (.f64 36 (.f64 z z)) (+.f64 4 (.f64 6 z)))) y))
(fma.f64 x -3 (*.f64 y 4))
(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)
(fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 6 (.f64 (-.f64 y x) (-.f64 2/3 z))))

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

Calls

6 calls:

44.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
33.0ms	z
30.0ms	y
29.0ms	(-.f64 (/.f64 2 3) z)
27.0ms	x

Results

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

Compiler

Compiled 536 to 337 computations (37.1% saved)

regimes131.0ms (1%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

6 calls:

38.0ms	x
20.0ms	y
20.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
19.0ms	z
11.0ms	(-.f64 (/.f64 2 3) z)

Results

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

Compiler

Compiled 366 to 228 computations (37.7% saved)

regimes128.0ms (1%)

Counts

26 → 3

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	z
39.0ms	y
35.0ms	x

Results

Error	Segments	Branch
14.2b	3	`x`
15.8b	3	`y`
2.4b	3	`z`

Compiler

Compiled 195 to 120 computations (38.5% saved)

bsearch43.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.05710417915525057	0.7022477292150812
22.0ms	-2.953699789376325	-9.059193111906612e-7

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes232.0ms (1.8%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

122.0ms	x
75.0ms	y
30.0ms	z

Results

Error	Segments	Branch
15.2b	5	`x`
18.3b	5	`y`
2.4b	3	`z`

Compiler

Compiled 101 to 64 computations (36.6% saved)

bsearch97.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	0.05710417915525057	0.7022477292150812
40.0ms	-2.953699789376325	-9.059193111906612e-7

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes154.0ms (1.2%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

3 calls:

72.0ms	z
54.0ms	y
24.0ms	x

Results

Error	Segments	Branch
16.6b	3	`x`
19.5b	5	`y`
8.6b	5	`z`

Compiler

Compiled 87 to 57 computations (34.5% saved)

bsearch130.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
41.0ms	1.2849503622441117e+95	9.104366166996361e+95
24.0ms	3.0481372367119667e-19	2.7785713279018303e-12
24.0ms	-1.0485666352098684e-14	-2.273670104669541e-22
41.0ms	-6.011341448841079e+231	-3.1609840894643744e+212

Compiler

Compiled 384 to 311 computations (19% saved)

regimes102.0ms (0.8%)

Counts

13 → 5

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	z
33.0ms	x
29.0ms	y

Results

Error	Segments	Branch
25.6b	1	`x`
23.9b	3	`y`
10.0b	5	`z`

Compiler

Compiled 80 to 52 computations (35% saved)

bsearch125.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
34.0ms	1.2849503622441117e+95	9.104366166996361e+95
21.0ms	0.05710417915525057	0.7022477292150812
35.0ms	-2.953699789376325	-9.059193111906612e-7
34.0ms	-6.011341448841079e+231	-3.1609840894643744e+212

Compiler

Compiled 350 to 277 computations (20.9% saved)

regimes353.0ms (2.7%)

Counts

12 → 10

Calls

Call 1

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

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

Calls

3 calls:

235.0ms	z
94.0ms	y
21.0ms	x

Results

Error	Segments	Branch
31.7b	3	`x`
30.4b	8	`y`
22.1b	10	`z`

Compiler

Compiled 73 to 47 computations (35.6% saved)

bsearch263.0ms (2%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
38.0ms	1.2849503622441117e+95	9.104366166996361e+95
22.0ms	0.05710417915525057	0.7022477292150812
26.0ms	5.032686791275574e-178	6.81208571178007e-172
25.0ms	9.726196262510038e-217	3.9437894591054126e-216
25.0ms	1.9987772706692167e-286	3.225708068879776e-286
37.0ms	-1.069627291311846e-300	-1.6276395050926769e-304
24.0ms	-2.551349439988947e-86	-2.44795345245871e-86
29.0ms	-2.953699789376325	-9.059193111906612e-7
36.0ms	-6.011341448841079e+231	-3.1609840894643744e+212

Compiler

Compiled 350 to 277 computations (20.9% saved)

regimes141.0ms (1.1%)

Counts

11 → 10

Calls

Call 1

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

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

Calls

3 calls:

60.0ms	y
59.0ms	z
19.0ms	x

Results

Error	Segments	Branch
31.7b	3	`x`
30.4b	8	`y`
22.1b	10	`z`

Compiler

Compiled 66 to 42 computations (36.4% saved)

bsearch289.0ms (2.2%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
32.0ms	1.2849503622441117e+95	9.104366166996361e+95
44.0ms	0.05710417915525057	0.7022477292150812
24.0ms	5.032686791275574e-178	6.81208571178007e-172
25.0ms	9.726196262510038e-217	3.9437894591054126e-216
24.0ms	1.9987772706692167e-286	3.225708068879776e-286
52.0ms	-1.069627291311846e-300	-1.6276395050926769e-304
26.0ms	-2.551349439988947e-86	-2.44795345245871e-86
21.0ms	-2.953699789376325	-9.059193111906612e-7
40.0ms	-6.011341448841079e+231	-3.1609840894643744e+212

Compiler

Compiled 328 to 255 computations (22.3% saved)

regimes94.0ms (0.7%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

3 calls:

52.0ms	z
26.0ms	y
14.0ms	x

Results

Error	Segments	Branch
36.2b	3	`x`
38.3b	5	`y`
28.4b	5	`z`

Compiler

Compiled 41 to 28 computations (31.7% saved)

bsearch113.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
34.0ms	1.2849503622441117e+95	9.104366166996361e+95
23.0ms	0.05710417915525057	0.7022477292150812
21.0ms	-2.273670104669541e-22	-1.9433999361754197e-26
35.0ms	-6.011341448841079e+231	-3.1609840894643744e+212

Compiler

Compiled 328 to 255 computations (22.3% saved)

regimes53.0ms (0.4%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	y
19.0ms	z
12.0ms	x

Results

Error	Segments	Branch
36.2b	3	`x`
38.3b	5	`y`
28.4b	5	`z`

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch115.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
35.0ms	1.2849503622441117e+95	9.104366166996361e+95
24.0ms	0.05710417915525057	0.7022477292150812
21.0ms	-2.273670104669541e-22	-1.9433999361754197e-26
35.0ms	-6.011341448841079e+231	-3.1609840894643744e+212

Compiler

Compiled 328 to 255 computations (22.3% saved)

regimes35.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	y
11.0ms	z
10.0ms	x

Results

Error	Segments	Branch
36.2b	3	`x`
40.6b	3	`y`
32.0b	3	`z`

Compiler

Compiled 26 to 19 computations (26.9% saved)

bsearch46.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	0.05710417915525057	0.7022477292150812
24.0ms	-2.273670104669541e-22	-1.9433999361754197e-26

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes12.0ms (0.1%)

Accuracy

Total -18.9b remaining (-42.8%)

Threshold costs -18.9b (-42.8%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(.f64 -1 (.f64 3 x))

Outputs
(.f64 -1 (.f64 3 x))

Calls

3 calls:

4.0ms	y
3.0ms	x
3.0ms	z

Results

Error	Segments	Branch
44.2b	1	`x`
44.2b	1	`y`
44.2b	1	`z`

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

136×	`distribute-rgt-neg-in_binary64`
104×	`cancel-sign-sub-inv_binary64`
88×	`distribute-lft-neg-in_binary64`
87×	`distribute-lft-neg-out_binary64`
83×	`neg-sub0_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	663
1	132	641
2	171	635
3	213	635
4	295	635
5	420	635
6	533	635
7	633	635
8	717	635
9	816	635
10	908	635
11	987	635
12	1051	635
13	1071	635

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
(if (<=.f64 z -6651140635399765/2251799813685248) (-.f64 x (.f64 (-.f64 y x) (.f64 6 z))) (if (<=.f64 z 514348719929769/9007199254740992) (+.f64 (.f64 -3 x) (.f64 4 y)) (-.f64 x (.f64 (-.f64 y x) (.f64 6 z)))))
(if (<=.f64 z -6651140635399765/2251799813685248) (.f64 -6 (.f64 z (-.f64 y x))) (if (<=.f64 z 514348719929769/9007199254740992) (+.f64 (.f64 -3 x) (.f64 4 y)) (.f64 -6 (.f64 z (-.f64 y x)))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 -1 (.f64 (.f64 -6 z) x)) (if (<=.f64 z -6646080622515423/633825300114114700748351602688) (.f64 (+.f64 4 (.f64 -6 z)) y) (if (<=.f64 z 3165366679712515/10384593717069655257060992658440192) (+.f64 (.f64 -3 x) (.f64 4 y)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 (+.f64 4 (.f64 -6 z)) y) (.f64 (*.f64 6 x) z)))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 -1 (.f64 (.f64 -6 z) x)) (if (<=.f64 z -6651140635399765/2251799813685248) (.f64 y (.f64 -6 z)) (if (<=.f64 z 514348719929769/9007199254740992) (+.f64 (.f64 -3 x) (.f64 4 y)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 y (.f64 -6 z)) (.f64 (*.f64 6 x) z)))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 -1 (.f64 (.f64 -6 z) x)) (if (<=.f64 z -6651140635399765/2251799813685248) (.f64 y (.f64 -6 z)) (if (<=.f64 z -892870545886489/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (+.f64 x (.f64 y 4)) (if (<=.f64 z -806506626160863/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 8566828197481365/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504) (+.f64 x (.f64 y 4)) (if (<=.f64 z 1510009566681437/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 4592266926457279/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552) (+.f64 x (.f64 y 4)) (if (<=.f64 z 514348719929769/9007199254740992) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 y (.f64 -6 z)) (.f64 (.f64 6 x) z))))))))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 6 (.f64 z x)) (if (<=.f64 z -6651140635399765/2251799813685248) (.f64 y (.f64 -6 z)) (if (<=.f64 z -892870545886489/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (+.f64 x (.f64 y 4)) (if (<=.f64 z -806506626160863/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 8566828197481365/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504) (+.f64 x (.f64 y 4)) (if (<=.f64 z 1510009566681437/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 4592266926457279/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552) (+.f64 x (.f64 y 4)) (if (<=.f64 z 514348719929769/9007199254740992) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 y (.f64 -6 z)) (.f64 (*.f64 6 x) z))))))))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 6 (.f64 z x)) (if (<=.f64 z -2417780765044779/10633823966279326983230456482242756608) (.f64 y (.f64 -6 z)) (if (<=.f64 z 514348719929769/9007199254740992) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 y (.f64 -6 z)) (.f64 (.f64 6 x) z)))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 (.f64 6 x) z) (if (<=.f64 z -2417780765044779/10633823966279326983230456482242756608) (.f64 y (.f64 -6 z)) (if (<=.f64 z 514348719929769/9007199254740992) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 y (.f64 -6 z)) (.f64 (.f64 6 x) z)))))
(if (<=.f64 z -2417780765044779/10633823966279326983230456482242756608) (.f64 y (.f64 -6 z)) (if (<=.f64 z 514348719929769/9007199254740992) (.f64 -1 (.f64 3 x)) (.f64 y (.f64 -6 z))))
(.f64 -1 (.f64 3 x))
x

Outputs
(+.f64 (.f64 -1 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (+.f64 4 (*.f64 -6 z)) y))
(+.f64 (neg.f64 (.f64 (+.f64 3 (.f64 -6 z)) x)) (.f64 (+.f64 (.f64 -6 z) 4) y))
(-.f64 (.f64 (+.f64 (.f64 -6 z) 4) y) (.f64 (+.f64 3 (.f64 -6 z)) x))
(+.f64 (.f64 x (+.f64 (.f64 z 6) -3)) (.f64 (+.f64 (.f64 -6 z) 4) y))
(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 2/3 z))))
(-.f64 x (.f64 (-.f64 y x) (.f64 -6 (-.f64 2/3 z))))
(if (<=.f64 z -6651140635399765/2251799813685248) (-.f64 x (.f64 (-.f64 y x) (.f64 6 z))) (if (<=.f64 z 514348719929769/9007199254740992) (+.f64 (.f64 -3 x) (.f64 4 y)) (-.f64 x (.f64 (-.f64 y x) (.f64 6 z)))))
(if (<=.f64 z -6651140635399765/2251799813685248) (-.f64 x (.f64 (-.f64 y x) (.f64 z 6))) (if (<=.f64 z 514348719929769/9007199254740992) (+.f64 (.f64 x -3) (.f64 4 y)) (-.f64 x (.f64 (-.f64 y x) (.f64 z 6)))))
(if (<=.f64 z -6651140635399765/2251799813685248) (-.f64 x (.f64 (-.f64 y x) (.f64 z 6))) (if (<=.f64 z 514348719929769/9007199254740992) (+.f64 (.f64 4 y) (.f64 x -3)) (-.f64 x (.f64 (-.f64 y x) (.f64 z 6)))))
(if (<=.f64 z -6651140635399765/2251799813685248) (+.f64 x (.f64 (.f64 -6 z) (-.f64 y x))) (if (<=.f64 z 514348719929769/9007199254740992) (+.f64 (.f64 4 y) (.f64 x -3)) (+.f64 x (.f64 (.f64 -6 z) (-.f64 y x)))))
(if (<=.f64 z -6651140635399765/2251799813685248) (.f64 -6 (.f64 z (-.f64 y x))) (if (<=.f64 z 514348719929769/9007199254740992) (+.f64 (.f64 -3 x) (.f64 4 y)) (.f64 -6 (.f64 z (-.f64 y x)))))
(if (<=.f64 z -6651140635399765/2251799813685248) (.f64 -6 (.f64 z (-.f64 y x))) (if (<=.f64 z 514348719929769/9007199254740992) (+.f64 (.f64 x -3) (.f64 4 y)) (.f64 -6 (.f64 z (-.f64 y x)))))
(if (<=.f64 z -6651140635399765/2251799813685248) (.f64 -6 (.f64 z (-.f64 y x))) (if (<=.f64 z 514348719929769/9007199254740992) (+.f64 (.f64 4 y) (.f64 x -3)) (.f64 -6 (.f64 z (-.f64 y x)))))
(if (<=.f64 z -6651140635399765/2251799813685248) (.f64 6 (.f64 z (-.f64 x y))) (if (<=.f64 z 514348719929769/9007199254740992) (+.f64 (.f64 4 y) (.f64 x -3)) (.f64 6 (.f64 z (-.f64 x y)))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 -1 (.f64 (.f64 -6 z) x)) (if (<=.f64 z -6646080622515423/633825300114114700748351602688) (.f64 (+.f64 4 (.f64 -6 z)) y) (if (<=.f64 z 3165366679712515/10384593717069655257060992658440192) (+.f64 (.f64 -3 x) (.f64 4 y)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 (+.f64 4 (.f64 -6 z)) y) (.f64 (*.f64 6 x) z)))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (neg.f64 (.f64 (.f64 -6 z) x)) (if (<=.f64 z -6646080622515423/633825300114114700748351602688) (.f64 (+.f64 (.f64 -6 z) 4) y) (if (<=.f64 z 3165366679712515/10384593717069655257060992658440192) (+.f64 (.f64 x -3) (.f64 4 y)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 (+.f64 (.f64 -6 z) 4) y) (.f64 z (.f64 x 6))))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 (.f64 -6 z) (neg.f64 x)) (if (<=.f64 z -6646080622515423/633825300114114700748351602688) (.f64 (+.f64 (.f64 -6 z) 4) y) (if (<=.f64 z 3165366679712515/10384593717069655257060992658440192) (+.f64 (.f64 4 y) (.f64 x -3)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 (+.f64 (.f64 -6 z) 4) y) (.f64 z (.f64 x 6))))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 x (.f64 z 6)) (if (<=.f64 z -6646080622515423/633825300114114700748351602688) (.f64 (+.f64 (.f64 -6 z) 4) y) (if (<=.f64 z 3165366679712515/10384593717069655257060992658440192) (+.f64 (.f64 4 y) (.f64 x -3)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 (+.f64 (.f64 -6 z) 4) y) (.f64 z (.f64 x 6))))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 -1 (.f64 (.f64 -6 z) x)) (if (<=.f64 z -6651140635399765/2251799813685248) (.f64 y (.f64 -6 z)) (if (<=.f64 z 514348719929769/9007199254740992) (+.f64 (.f64 -3 x) (.f64 4 y)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 y (.f64 -6 z)) (.f64 (*.f64 6 x) z)))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (neg.f64 (.f64 (.f64 -6 z) x)) (if (<=.f64 z -6651140635399765/2251799813685248) (.f64 (.f64 -6 z) y) (if (<=.f64 z 514348719929769/9007199254740992) (+.f64 (.f64 x -3) (.f64 4 y)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 (.f64 -6 z) y) (.f64 z (.f64 x 6))))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 (.f64 -6 z) (neg.f64 x)) (if (<=.f64 z -6651140635399765/2251799813685248) (.f64 (.f64 -6 z) y) (if (<=.f64 z 514348719929769/9007199254740992) (+.f64 (.f64 4 y) (.f64 x -3)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 (.f64 -6 z) y) (.f64 z (.f64 x 6))))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 x (.f64 z 6)) (if (<=.f64 z -6651140635399765/2251799813685248) (.f64 (.f64 -6 z) y) (if (<=.f64 z 514348719929769/9007199254740992) (+.f64 (.f64 4 y) (.f64 x -3)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 (.f64 -6 z) y) (.f64 z (.f64 x 6))))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 -1 (.f64 (.f64 -6 z) x)) (if (<=.f64 z -6651140635399765/2251799813685248) (.f64 y (.f64 -6 z)) (if (<=.f64 z -892870545886489/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (+.f64 x (.f64 y 4)) (if (<=.f64 z -806506626160863/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 8566828197481365/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504) (+.f64 x (.f64 y 4)) (if (<=.f64 z 1510009566681437/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 4592266926457279/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552) (+.f64 x (.f64 y 4)) (if (<=.f64 z 514348719929769/9007199254740992) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 y (.f64 -6 z)) (.f64 (.f64 6 x) z))))))))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (neg.f64 (.f64 (.f64 -6 z) x)) (if (<=.f64 z -6651140635399765/2251799813685248) (.f64 (.f64 -6 z) y) (if (<=.f64 z -892870545886489/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184) (+.f64 x (.f64 4 y)) (if (<=.f64 z -806506626160863/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664) (neg.f64 (.f64 3 x)) (if (<=.f64 z 8566828197481365/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504) (+.f64 x (.f64 4 y)) (if (<=.f64 z 1510009566681437/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (neg.f64 (.f64 3 x)) (if (<=.f64 z 4592266926457279/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552) (+.f64 x (.f64 4 y)) (if (<=.f64 z 514348719929769/9007199254740992) (neg.f64 (.f64 3 x)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 (.f64 -6 z) y) (.f64 z (.f64 x 6)))))))))))
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(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 6 (.f64 z x)) (if (<=.f64 z -2417780765044779/10633823966279326983230456482242756608) (.f64 y (.f64 -6 z)) (if (<=.f64 z 514348719929769/9007199254740992) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 y (.f64 -6 z)) (.f64 (.f64 6 x) z)))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 6 (.f64 z x)) (if (<=.f64 z -2417780765044779/10633823966279326983230456482242756608) (.f64 (.f64 -6 z) y) (if (<=.f64 z 514348719929769/9007199254740992) (neg.f64 (.f64 3 x)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 (.f64 -6 z) y) (.f64 z (*.f64 x 6))))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 6 (.f64 z x)) (if (<=.f64 z -2417780765044779/10633823966279326983230456482242756608) (.f64 (.f64 -6 z) y) (if (<=.f64 z 514348719929769/9007199254740992) (.f64 x -3) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 (.f64 -6 z) y) (.f64 z (*.f64 x 6))))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 (.f64 6 x) z) (if (<=.f64 z -2417780765044779/10633823966279326983230456482242756608) (.f64 y (.f64 -6 z)) (if (<=.f64 z 514348719929769/9007199254740992) (.f64 -1 (.f64 3 x)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 y (.f64 -6 z)) (.f64 (.f64 6 x) z)))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 z (.f64 x 6)) (if (<=.f64 z -2417780765044779/10633823966279326983230456482242756608) (.f64 (.f64 -6 z) y) (if (<=.f64 z 514348719929769/9007199254740992) (neg.f64 (.f64 3 x)) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 (.f64 -6 z) y) (.f64 z (*.f64 x 6))))))
(if (<=.f64 z -319999999999999986020288759080529591648693257528559088888188108440953023811348605969254121472549221797197669847996735014433888906251393053783881028901523723254776312209309640987059504689844437021823848631037329408) (.f64 z (.f64 x 6)) (if (<=.f64 z -2417780765044779/10633823966279326983230456482242756608) (.f64 (.f64 -6 z) y) (if (<=.f64 z 514348719929769/9007199254740992) (.f64 x -3) (if (<=.f64 z 900000000000000033018378636816825303935572772004974172242557207789195801548918631435708638691328) (.f64 (.f64 -6 z) y) (.f64 z (*.f64 x 6))))))
(if (<=.f64 z -2417780765044779/10633823966279326983230456482242756608) (.f64 y (.f64 -6 z)) (if (<=.f64 z 514348719929769/9007199254740992) (.f64 -1 (.f64 3 x)) (.f64 y (.f64 -6 z))))
(if (<=.f64 z -2417780765044779/10633823966279326983230456482242756608) (.f64 (.f64 -6 z) y) (if (<=.f64 z 514348719929769/9007199254740992) (neg.f64 (.f64 3 x)) (.f64 (*.f64 -6 z) y)))
(if (<=.f64 z -2417780765044779/10633823966279326983230456482242756608) (.f64 (.f64 -6 z) y) (if (<=.f64 z 514348719929769/9007199254740992) (.f64 x -3) (.f64 (*.f64 -6 z) y)))
(.f64 -1 (.f64 3 x))
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
x

Compiler

Compiled 480 to 332 computations (30.8% saved)

soundness765.0ms (5.8%)

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)

end215.0ms (1.6%)

Compiler: Compiled 444 to 294 computations (33.8% saved)