Details

analyze364.0ms (3.1%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.2s (10.6%)

Results

945.0ms	7752×	body	256	valid
154.0ms	1340×	body	256	invalid
61.0ms	217×	body	1024	valid
55.0ms	287×	body	512	valid

preprocess64.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify294.0ms (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)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 49 to 31 computations (36.7% saved)

series14.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

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

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 156

Calls

Call 1

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

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

simplify401.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	1556
1	102	1496
2	249	1211
3	845	983
4	2149	965
5	4416	965
6	5504	965
7	6222	965
8	6608	965
9	6724	965
10	6794	965
11	6804	965
12	6804	965
13	6804	965
14	6804	965
15	7356	965
16	7356	965
17	7356	965

Stop Event

1×	node limit

Counts

264 → 186

Calls

Call 1

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

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

localize30.0ms (0.3%)

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)

rewrite73.0ms (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 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (-.f64 y x) (fma.f64 z -6 4) x)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (.f64 z -6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z -6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 z -6 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 z -6) 1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z -6 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z -6 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z -6 4)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z -6 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z -6 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z -6 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 z -6 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 z -6 4)) (pow.f64 (cbrt.f64 (fma.f64 z -6 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z -6 4)) 2) (cbrt.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z -6 4)) (sqrt.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (fma.f64 z -6 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 z -6 4) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 z -6 4) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (fma.f64 z -6 4) (cbrt.f64 (fma.f64 z -6 4))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 z -6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 z -6 4) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 z -6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z -6 4))) 2) 3) (cbrt.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z -6 4))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z -6 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 z 3) -216) 64) (+.f64 (pow.f64 (.f64 z -6) 2) (-.f64 16 (.f64 (.f64 z -6) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 z -6) 2) 16) (fma.f64 z -6 -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z -6 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z -6 4) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z -6 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z -6 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z -6 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z -6 4))) 2)) (cbrt.f64 (log.f64 (fma.f64 z -6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z -6 4)))) (sqrt.f64 (log.f64 (fma.f64 z -6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z -6 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z -6 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z -6 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z -6 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 z -6 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 z -6 4))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z -6 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 z -6 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z -6 4)) 1) 1))))))

Outputs

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

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

simplify262.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

130 → 100

Calls

Call 1

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

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

eval229.0ms (2%)

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

prune129.0ms (1.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

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

Error

Counts

288 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
	41.3b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (neg.f64 z)))
▶	28.5b	(.f64 -1 (.f64 (+.f64 3 (*.f64 -6 z)) x))
	1.4b	(fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (.f64 (cbrt.f64 (-.f64 y x)) (.f64 6 (-.f64 2/3 z))) x)
	39.0b	(+.f64 x (.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 y x) 6) 3)) (-.f64 (/.f64 2 3) z)))
	22.3b	(+.f64 (*.f64 4 (-.f64 y x)) x)
	34.4b	(.f64 (+.f64 4 (.f64 -6 z)) y)
	0.4b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
▶	0.4b	(fma.f64 (*.f64 (-.f64 2/3 z) (-.f64 y x)) 6 x)
	7.7b	(fma.f64 (.f64 (.f64 (-.f64 y x) 6) (cbrt.f64 (pow.f64 (-.f64 2/3 z) 2))) (cbrt.f64 (-.f64 2/3 z)) x)
	28.5b	(.f64 (+.f64 1 (.f64 -6 (-.f64 2/3 z))) x)
▶	40.9b	(.f64 -6 (.f64 z (-.f64 y x)))
▶	0.4b	(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (-.f64 (/.f64 2 3) z)))
	22.2b	(fma.f64 x -3 (*.f64 y 4))

Compiler

Compiled 412 to 302 computations (26.7% saved)

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 20 computations (61.5% saved)

series33.0ms (0.3%)

Counts

4 → 114

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(.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	x	@	inf	(.f64 -6 (.f64 z (-.f64 y x)))
1.0ms	y	@	0	(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))

rewrite157.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 200

Calls

Call 1

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

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

simplify309.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

314 → 238

Calls

Call 1

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

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

localize18.0ms (0.2%)

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)

localize28.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 24 computations (25% saved)

series12.0ms (0.1%)

Counts

2 → 15

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(.f64 (+.f64 3 (.f64 -6 z)) x)
2.0ms	x	@	0	(.f64 (+.f64 3 (.f64 -6 z)) x)
1.0ms	z	@	0	(.f64 (+.f64 3 (.f64 -6 z)) x)
1.0ms	z	@	inf	(.f64 (+.f64 3 (.f64 -6 z)) x)
1.0ms	x	@	-inf	(.f64 (+.f64 3 (.f64 -6 z)) x)

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

68 → 60

Calls

Call 1

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

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

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 59 to 44 computations (25.4% saved)

series20.0ms (0.2%)

Counts

3 → 78

Calls

24 calls:

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

rewrite131.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

Outputs

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

simplify463.0ms (4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 17 (0.0ms)

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

Stop Event

1×	node limit

Counts

234 → 182

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 16 computations (48.4% saved)

series8.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite82.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	223	28
2	2972	28

Stop Event

1×	node limit

Counts

3 → 124

Calls

Call 1

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

Outputs

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

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

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

simplify334.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

5401×	`fma-def_binary64`
590×	`unsub-neg_binary64`
517×	`fma-neg_binary64`
335×	`associate--r+_binary64`
311×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	1152
1	109	909
2	302	852
3	1113	776
4	2761	776
5	5322	776
6	6356	776
7	6856	776
8	6990	776
9	7010	776
10	7010	776
11	7010	776
12	7010	776
13	7013	776
14	7464	776
15	7464	776

Stop Event

1×	node limit

Counts

208 → 155

Calls

Call 1

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

eval301.0ms (2.6%)

Compiler: Compiled 13207 to 7873 computations (40.4% saved)

prune141.0ms (1.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	728	16	744
Fresh	7	2	9
Picked	1	0	1
Done	4	0	4
Total	740	18	758

Error

Counts

758 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	28.5b	(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
	52.2b	(.f64 -6 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) z) (+.f64 y x)))
	22.5b	(+.f64 (.f64 2/3 (+.f64 (.f64 6 y) (*.f64 -6 x))) x)
	41.3b	(.f64 -1 (.f64 3 x))
	50.0b	(.f64 6 (.f64 z x))
▶	0.4b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x))
	50.0b	(.f64 x (.f64 6 z))
	28.6b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
	34.6b	(.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (*.f64 6 z))))
	40.8b	(.f64 z (.f64 -6 (-.f64 y x)))
	28.5b	(.f64 (-.f64 (.f64 6 z) 3) x)
▶	53.3b	(.f64 z (.f64 -6 y))
▶	53.3b	(.f64 -6 (.f64 z y))
▶	22.3b	(+.f64 (*.f64 4 (-.f64 y x)) x)
	34.4b	(.f64 (+.f64 4 (.f64 -6 z)) y)
▶	41.3b	(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (neg.f64 z)))
	22.2b	(fma.f64 x -3 (*.f64 y 4))
	38.4b	(.f64 -1 (/.f64 (.f64 (+.f64 27 (.f64 -216 (pow.f64 z 3))) x) (+.f64 9 (-.f64 (.f64 36 (.f64 z z)) (.f64 -18 z)))))

Compiler

Compiled 456 to 344 computations (24.6% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

series10.0ms (0.1%)

Counts

4 → 48

Calls

24 calls:

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

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

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

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-def_binary64`
230×	`fma-neg_binary64`
134×	`associate-l_binary64`
116×	`associate-r_binary64`
100×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	455
1	53	428
2	113	356
3	166	338
4	212	338
5	301	338
6	469	338
7	640	338
8	1068	338
9	2143	338
10	2390	338
11	2414	338
12	2414	338

Stop Event

1×

saturated

Counts

154 → 129

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

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series8.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(.f64 -6 (.f64 z y))
1.0ms	z	@	0	(.f64 -6 (.f64 z y))
1.0ms	z	@	inf	(.f64 -6 (.f64 z y))
1.0ms	y	@	0	(.f64 -6 (.f64 z y))
0.0ms	y	@	-inf	(.f64 -6 (.f64 z y))

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

35 → 12

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite45.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

35 → 12

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`pow1_binary64`
868×	`add-log-exp_binary64`
868×	`log1p-expm1-u_binary64`
868×	`expm1-log1p-u_binary64`
851×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	162	8
2	2306	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	168
1	24	168
2	38	168
3	46	168

Stop Event

1×

saturated

Counts

59 → 42

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 45 to 28 computations (37.8% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

583×	`log-prod_binary64`
450×	`fma-def_binary64`
408×	`pow-prod-down_binary64`
311×	`pow2_binary64`
249×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	265	23
2	3715	23

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

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

Outputs

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

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

simplify100.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

705×	`fma-def_binary64`
685×	`fma-neg_binary64`
116×	`associate-l_binary64`
115×	`cancel-sign-sub-inv_binary64`
113×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	1001
1	82	941
2	208	882
3	441	732
4	994	705
5	1807	705
6	2590	705
7	2790	705
8	2802	705
9	2802	705

Stop Event

1×

saturated

Counts

205 → 151

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

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

eval269.0ms (2.3%)

Compiler: Compiled 7651 to 5102 computations (33.3% saved)

prune182.0ms (1.6%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	400	5	405
Fresh	2	11	13
Picked	0	1	1
Done	2	2	4
Total	404	19	423

Error

Counts

423 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	62.4b	x
✓	41.3b	(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (neg.f64 z)))
▶	28.5b	(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
	52.2b	(.f64 -6 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) z) (+.f64 y x)))
▶	50.0b	(.f64 x (.f64 6 z))
	22.3b	(+.f64 (.f64 -3 x) (.f64 4 y))
	28.6b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
	34.6b	(.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (*.f64 6 z))))
▶	43.3b	(*.f64 4 y)
	38.4b	(.f64 -1 (/.f64 (.f64 (+.f64 27 (.f64 -216 (pow.f64 z 3))) x) (+.f64 9 (-.f64 (.f64 36 (.f64 z z)) (.f64 -18 z)))))
	40.8b	(.f64 z (.f64 -6 (-.f64 y x)))
▶	28.5b	(.f64 (-.f64 (.f64 6 z) 3) x)
✓	53.3b	(.f64 z (.f64 -6 y))
	41.3b	(*.f64 x -3)
✓	53.3b	(.f64 -6 (.f64 z y))
	34.4b	(.f64 (+.f64 4 (.f64 -6 z)) y)
▶	13.4b	(+.f64 (.f64 x -4) (+.f64 (.f64 6 (*.f64 y (-.f64 2/3 z))) x))
	22.2b	(fma.f64 x -3 (*.f64 y 4))
	50.0b	(.f64 6 (.f64 z x))

Compiler

Compiled 401 to 304 computations (24.2% saved)

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 2/3 z)
✓	0.0b	(+.f64 (.f64 x -4) (+.f64 (.f64 6 (*.f64 y (-.f64 2/3 z))) x))
	0.2b	(.f64 6 (.f64 y (-.f64 2/3 z)))
	0.2b	(*.f64 y (-.f64 2/3 z))

Compiler

Compiled 49 to 33 computations (32.7% saved)

series18.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	(+.f64 (.f64 x -4) (+.f64 (.f64 6 (*.f64 y (-.f64 2/3 z))) x))
1.0ms	x	@	0	(+.f64 (.f64 x -4) (+.f64 (.f64 6 (*.f64 y (-.f64 2/3 z))) x))
1.0ms	y	@	0	(+.f64 (.f64 x -4) (+.f64 (.f64 6 (*.f64 y (-.f64 2/3 z))) x))
1.0ms	x	@	inf	(+.f64 (.f64 x -4) (+.f64 (.f64 6 (*.f64 y (-.f64 2/3 z))) x))
1.0ms	z	@	0	(+.f64 (.f64 x -4) (+.f64 (.f64 6 (*.f64 y (-.f64 2/3 z))) x))

rewrite101.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

696×	`log-prod_binary64`
634×	`fma-def_binary64`
331×	`fma-neg_binary64`
269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	298	15
2	4121	15

Stop Event

1×	node limit

Counts

1 → 91

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x -4 (fma.f64 6 (*.f64 y (-.f64 2/3 z)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x -4) 2) (-.f64 (*.f64 x -4) (fma.f64 6 (*.f64 y (-.f64 2/3 z)) x))) (/.f64 (pow.f64 (fma.f64 6 (*.f64 y (-.f64 2/3 z)) x) 2) (-.f64 (*.f64 x -4) (fma.f64 6 (*.f64 y (-.f64 2/3 z)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -4 (fma.f64 6 (*.f64 y (-.f64 2/3 z)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -4 (fma.f64 6 (*.f64 y (-.f64 2/3 z)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -4 (fma.f64 6 (*.f64 y (-.f64 2/3 z)) x))) (pow.f64 (cbrt.f64 (fma.f64 x -4 (fma.f64 6 (*.f64 y (-.f64 2/3 z)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x -4 (fma.f64 6 (*.f64 y (-.f64 2/3 z)) x))) 2) (cbrt.f64 (fma.f64 x -4 (fma.f64 6 (*.f64 y (-.f64 2/3 z)) x))))))) (#(struct:change #<rule 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simplify201.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1217×	`fma-neg_binary64`
736×	`fma-def_binary64`
270×	`cancel-sign-sub-inv_binary64`
152×	`distribute-rgt-in_binary64`
134×	`associate--r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	442
1	67	442
2	148	442
3	310	442
4	555	382
5	723	382
6	1047	382
7	1517	382
8	2579	382
9	3246	382
10	3600	382
11	3685	382
12	3685	382
13	4240	382
14	4240	382

Stop Event

1×

saturated

Counts

127 → 104

Calls

Call 1

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

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

localize7.0ms (0.1%)

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite125.0ms (1.1%)

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 x (.f64 6 z))

Outputs

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

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series4.0ms (0%)

Counts

2 → 15

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (-.f64 (.f64 6 z) 3) x)
1.0ms	z	@	0	(.f64 (-.f64 (.f64 6 z) 3) x)
1.0ms	x	@	inf	(.f64 (-.f64 (.f64 6 z) 3) x)
1.0ms	x	@	-inf	(.f64 (-.f64 (.f64 6 z) 3) x)
0.0ms	z	@	-inf	(.f64 (-.f64 (.f64 6 z) 3) x)

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

66 → 58

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 19 computations (47.2% saved)

series5.0ms (0%)

Counts

3 → 33

Calls

18 calls:

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

rewrite109.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`fma-def_binary64`
558×	`log-prod_binary64`
394×	`pow-prod-down_binary64`
321×	`fma-neg_binary64`
297×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	227	27
2	3188	26

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-def_binary64`
446×	`fma-neg_binary64`
128×	`associate-l_binary64`
96×	`associate-r_binary64`
91×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	273
1	63	249
2	146	249
3	319	249
4	578	249
5	1074	249
6	1957	249
7	2453	249
8	2477	249
9	2482	249

Stop Event

1×

saturated

Counts

210 → 187

Calls

Call 1

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

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

eval527.0ms (4.6%)

Compiler: Compiled 7790 to 5359 computations (31.2% saved)

prune145.0ms (1.3%)

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	476	4	480
Fresh	2	9	11
Picked	0	1	1
Done	1	6	7
Total	479	20	499

Error

Counts

499 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	62.4b	x
✓	41.3b	(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (neg.f64 z)))
✓	28.5b	(+.f64 (.f64 -4 x) (+.f64 (.f64 6 (*.f64 z x)) x))
	52.2b	(.f64 -6 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) z) (+.f64 y x)))
	22.2b	(fma.f64 x -3 (*.f64 y 4))
	53.3b	(.f64 y (.f64 z -6))
✓	50.0b	(.f64 x (.f64 6 z))
	22.3b	(+.f64 (.f64 -3 x) (.f64 4 y))
	28.6b	(+.f64 (.f64 -6 (.f64 (-.f64 2/3 z) x)) x)
	34.6b	(.f64 -1 (/.f64 (.f64 (-.f64 9 (.f64 36 (.f64 z z))) x) (+.f64 3 (*.f64 6 z))))
	40.8b	(.f64 z (.f64 -6 (-.f64 y x)))
✓	28.5b	(.f64 (-.f64 (.f64 6 z) 3) x)
✓	53.3b	(.f64 z (.f64 -6 y))
	41.3b	(*.f64 x -3)
✓	53.3b	(.f64 -6 (.f64 z y))
	34.4b	(.f64 (+.f64 4 (.f64 -6 z)) y)
	38.4b	(/.f64 (.f64 (+.f64 (.f64 216 (pow.f64 z 3)) -27) x) (+.f64 (.f64 36 (.f64 z z)) (+.f64 9 (*.f64 z 18))))
	50.0b	(.f64 6 (.f64 z x))
✓	43.3b	(*.f64 4 y)
	22.3b	(+.f64 (.f64 x -4) (+.f64 (.f64 y 4) x))

Compiler

Compiled 220 to 166 computations (24.5% saved)

regimes353.0ms (3%)

Counts

41 → 1

Calls

Call 1

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

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

Calls

6 calls:

150.0ms	(-.f64 (/.f64 2 3) z)
77.0ms	z
35.0ms	y
30.0ms	x
26.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))

Results

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

Compiler

Compiled 460 to 300 computations (34.8% saved)

regimes156.0ms (1.4%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

61.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
30.0ms	y
26.0ms	z
16.0ms	x
14.0ms	(-.f64 (/.f64 2 3) z)

Results

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

Compiler

Compiled 244 to 158 computations (35.2% saved)

regimes139.0ms (1.2%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

3 calls:

52.0ms	y
45.0ms	z
36.0ms	x

Results

Error	Segments	Branch
9.4b	3	`x`
7.0b	3	`y`
1.2b	3	`z`

Compiler

Compiled 192 to 123 computations (35.9% saved)

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	10.180784999286313	348659.1818894611
20.0ms	-55867.329838425474	-0.0014415711611066879

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes176.0ms (1.5%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

3 calls:

92.0ms	x
40.0ms	z
37.0ms	y

Results

Error	Segments	Branch
13.1b	5	`x`
13.2b	3	`y`
1.4b	3	`z`

Compiler

Compiled 179 to 114 computations (36.3% saved)

bsearch100.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.0036699405484121803	5.2776108259173
64.0ms	-55867.329838425474	-0.0014415711611066879

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes246.0ms (2.1%)

Counts

23 → 3

Calls

Call 1

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

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

Calls

3 calls:

152.0ms	x
52.0ms	z
35.0ms	y

Results

Error	Segments	Branch
13.1b	5	`x`
13.2b	3	`y`
1.4b	3	`z`

Compiler

Compiled 167 to 107 computations (35.9% saved)

bsearch46.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	0.0036699405484121803	5.2776108259173
21.0ms	-55867.329838425474	-0.0014415711611066879

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes86.0ms (0.7%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

51.0ms	z
21.0ms	y
11.0ms	x

Results

Error	Segments	Branch
22.3b	1	`x`
20.9b	3	`y`
10.4b	3	`z`

Compiler

Compiled 64 to 42 computations (34.4% saved)

bsearch44.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	0.0036699405484121803	5.2776108259173
20.0ms	-55867.329838425474	-0.0014415711611066879

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes139.0ms (1.2%)

Counts

10 → 7

Calls

Call 1

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

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

Calls

3 calls:

70.0ms	z
35.0ms	x
30.0ms	y

Results

Error	Segments	Branch
30.9b	5	`x`
27.9b	5	`y`
23.9b	7	`z`

Compiler

Compiled 57 to 37 computations (35.1% saved)

bsearch268.0ms (2.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
43.0ms	0.0036699405484121803	5.2776108259173
64.0ms	-2.4314014463301733e-297	-2.8241036509631934e-303
57.0ms	-4.267252325917222e-230	-4.457500237162855e-240
42.0ms	-1.4764790011037582e-216	-6.35495857845521e-218
21.0ms	-3.4389908808816314e-66	-3.9671538590052097e-81
41.0ms	-55867.329838425474	-0.0014415711611066879

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes164.0ms (1.4%)

Counts

7 → 7

Calls

Call 1

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

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

Calls

3 calls:

80.0ms	z
53.0ms	y
27.0ms	x

Results

Error	Segments	Branch
30.9b	5	`x`
27.9b	5	`y`
23.9b	7	`z`

Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch170.0ms (1.5%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
25.0ms	0.0036699405484121803	5.2776108259173
28.0ms	-2.4314014463301733e-297	-2.8241036509631934e-303
29.0ms	-4.267252325917222e-230	-4.457500237162855e-240
26.0ms	-1.4764790011037582e-216	-6.35495857845521e-218
22.0ms	-3.4389908808816314e-66	-3.9671538590052097e-81
38.0ms	-55867.329838425474	-0.0014415711611066879

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes65.0ms (0.6%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	z
24.0ms	x
13.0ms	y

Results

Error	Segments	Branch
30.9b	5	`x`
29.5b	3	`y`
27.2b	7	`z`

Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch201.0ms (1.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
22.0ms	0.0036699405484121803	5.2776108259173
27.0ms	-2.4314014463301733e-297	-2.8241036509631934e-303
47.0ms	-4.267252325917222e-230	-4.457500237162855e-240
51.0ms	-1.4764790011037582e-216	-6.35495857845521e-218
22.0ms	-3.4389908808816314e-66	-3.9671538590052097e-81
31.0ms	-2.4774148561027497e+21	-132473824514080160.0

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes74.0ms (0.6%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

39.0ms	z
24.0ms	x
10.0ms	y

Results

Error	Segments	Branch
30.9b	5	`x`
29.5b	3	`y`
35.8b	5	`z`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch113.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	1.0475370519041326e+63	1.3650580230284665e+65
57.0ms	-1.417898523361797e-32	-7.097518332728205e-36

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes13.0ms (0.1%)

Accuracy

Total -19.4b remaining (-44.7%)

Threshold costs -19.4b (-44.7%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(*.f64 4 y)

Outputs
(*.f64 4 y)

Calls

3 calls:

5.0ms	y
3.0ms	z
3.0ms	x

Results

Error	Segments	Branch
43.3b	1	`x`
43.3b	1	`y`
43.3b	1	`z`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify38.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

29×	`*-commutative_binary64`
17×	`+-commutative_binary64`
9×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	90	464
1	128	460
2	141	460
3	153	460
4	174	460
5	181	460
6	185	460
7	186	460

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 z (.f64 -6 (-.f64 y x))) (if (<=.f64 z 2865636220570311/281474976710656) (+.f64 (.f64 x -4) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x)) (+.f64 x (.f64 (+.f64 (.f64 6 y) (.f64 -6 x)) (neg.f64 z)))))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 z (.f64 -6 (-.f64 y x))) (if (<=.f64 z 67698454062288768/18446744073709551616) (+.f64 (.f64 -3 x) (.f64 4 y)) (+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (neg.f64 z)))))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 z (.f64 -6 (-.f64 y x))) (if (<=.f64 z 67698454062288768/18446744073709551616) (+.f64 (.f64 -3 x) (.f64 4 y)) (.f64 z (.f64 -6 (-.f64 y x)))))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 x (.f64 6 z)) (if (<=.f64 z 67698454062288768/18446744073709551616) (+.f64 (.f64 -3 x) (.f64 4 y)) (.f64 6 (.f64 z x))))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 x (.f64 6 z)) (if (<=.f64 z -6524238872008499/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (.f64 x -3) (if (<=.f64 z -2292260362115663/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 4 y) (if (<=.f64 z -2330959880024569/54624374234151766213262145869588543874209860176411919649966143993970993052202041929903572589539772749766081827581405105732721063150545838738336612780694159737611530891378807262929537318189580490579681412185183043434010607923007170897214483464192) (.f64 x -3) (if (<=.f64 z -1790326246671179/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (.f64 4 y) (if (<=.f64 z 67698454062288768/18446744073709551616) (.f64 x -3) (.f64 6 (*.f64 z x))))))))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 6 (.f64 z x)) (if (<=.f64 z -6524238872008499/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (.f64 x -3) (if (<=.f64 z -2292260362115663/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 4 y) (if (<=.f64 z -2330959880024569/54624374234151766213262145869588543874209860176411919649966143993970993052202041929903572589539772749766081827581405105732721063150545838738336612780694159737611530891378807262929537318189580490579681412185183043434010607923007170897214483464192) (.f64 x -3) (if (<=.f64 z -1790326246671179/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (.f64 4 y) (if (<=.f64 z 67698454062288768/18446744073709551616) (.f64 x -3) (.f64 6 (*.f64 z x))))))))
(if (<=.f64 z -2477414856102749667328) (.f64 y (.f64 z -6)) (if (<=.f64 z -6524238872008499/1897137590064188545819787018382342682267975428761855001222473056385648716020711424) (.f64 x -3) (if (<=.f64 z -2292260362115663/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 4 y) (if (<=.f64 z -2330959880024569/54624374234151766213262145869588543874209860176411919649966143993970993052202041929903572589539772749766081827581405105732721063150545838738336612780694159737611530891378807262929537318189580490579681412185183043434010607923007170897214483464192) (.f64 x -3) (if (<=.f64 z -1790326246671179/736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140822066036736) (.f64 4 y) (if (<=.f64 z 67698454062288768/18446744073709551616) (.f64 x -3) (.f64 y (*.f64 z -6))))))))
(if (<=.f64 y -20722610134623360/1461501637330902918203684832716283019655932542976) (.f64 4 y) (if (<=.f64 y 1047537051904132619613305133237932403423245407582871564670992384) (.f64 x -3) (*.f64 4 y)))
(*.f64 4 y)
x

Outputs
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 (.f64 -6 (*.f64 z (-.f64 y x))) x))
(+.f64 (.f64 4 (-.f64 y x)) (+.f64 x (.f64 -6 (*.f64 (-.f64 y x) z))))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 (/.f64 2 3) z)))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 z (.f64 -6 (-.f64 y x))) (if (<=.f64 z 2865636220570311/281474976710656) (+.f64 (.f64 x -4) (+.f64 (.f64 6 (.f64 y (-.f64 2/3 z))) x)) (+.f64 x (.f64 (+.f64 (.f64 6 y) (.f64 -6 x)) (neg.f64 z)))))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 z (.f64 (-.f64 y x) -6)) (if (<=.f64 z 2865636220570311/281474976710656) (+.f64 (.f64 x -4) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))) (+.f64 x (.f64 (+.f64 (.f64 y 6) (.f64 x -6)) (neg.f64 z)))))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 z (.f64 (-.f64 y x) -6)) (if (<=.f64 z 2865636220570311/281474976710656) (+.f64 (.f64 x -4) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))) (-.f64 x (.f64 z (+.f64 (.f64 y 6) (.f64 x -6))))))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 z (.f64 (-.f64 y x) -6)) (if (<=.f64 z 2865636220570311/281474976710656) (+.f64 (.f64 x -4) (+.f64 x (.f64 6 (.f64 y (-.f64 2/3 z))))) (+.f64 x (.f64 z (+.f64 (.f64 y -6) (.f64 x 6))))))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 z (.f64 -6 (-.f64 y x))) (if (<=.f64 z 67698454062288768/18446744073709551616) (+.f64 (.f64 -3 x) (.f64 4 y)) (+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) (neg.f64 z)))))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 z (.f64 (-.f64 y x) -6)) (if (<=.f64 z 528894172361631/144115188075855872) (+.f64 (.f64 4 y) (.f64 x -3)) (+.f64 x (.f64 (+.f64 (.f64 y 6) (*.f64 x -6)) (neg.f64 z)))))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 z (.f64 (-.f64 y x) -6)) (if (<=.f64 z 528894172361631/144115188075855872) (+.f64 (.f64 4 y) (.f64 x -3)) (-.f64 x (.f64 z (+.f64 (.f64 y 6) (*.f64 x -6))))))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 z (.f64 (-.f64 y x) -6)) (if (<=.f64 z 528894172361631/144115188075855872) (+.f64 (.f64 4 y) (.f64 x -3)) (+.f64 x (.f64 z (+.f64 (.f64 y -6) (*.f64 x 6))))))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 z (.f64 -6 (-.f64 y x))) (if (<=.f64 z 67698454062288768/18446744073709551616) (+.f64 (.f64 -3 x) (.f64 4 y)) (.f64 z (.f64 -6 (-.f64 y x)))))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 z (.f64 (-.f64 y x) -6)) (if (<=.f64 z 528894172361631/144115188075855872) (+.f64 (.f64 4 y) (.f64 x -3)) (.f64 z (.f64 (-.f64 y x) -6))))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 x (.f64 6 z)) (if (<=.f64 z 67698454062288768/18446744073709551616) (+.f64 (.f64 -3 x) (.f64 4 y)) (.f64 6 (.f64 z x))))
(if (<=.f64 z -1919586836567059/34359738368) (.f64 x (.f64 z 6)) (if (<=.f64 z 528894172361631/144115188075855872) (+.f64 (.f64 4 y) (.f64 x -3)) (.f64 6 (.f64 x z))))
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(if (<=.f64 y -20722610134623360/1461501637330902918203684832716283019655932542976) (.f64 4 y) (if (<=.f64 y 1047537051904132619613305133237932403423245407582871564670992384) (.f64 x -3) (*.f64 4 y)))
(if (<=.f64 y -161895391676745/11417981541647679048466287755595961091061972992) (.f64 4 y) (if (<=.f64 y 1047537051904132619613305133237932403423245407582871564670992384) (.f64 x -3) (*.f64 4 y)))
(*.f64 4 y)
x

Compiler

Compiled 356 to 249 computations (30.1% saved)

soundness720.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 245 to 185 computations (24.5% saved)

end158.0ms (1.4%)

Compiler: Compiled 323 to 210 computations (35% saved)