Details

analyze562.0ms (21.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
28.1%	71.8%	0.1%	9
34.3%	59.3%	6.4%	10
40.6%	51.3%	8.1%	11
48%	43.2%	8.8%	12
53.2%	33.9%	12.8%	13
57.4%	28.4%	14.2%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample999.0ms (37.9%)

Results

893.0ms	8256×	body	128	valid
76.0ms	725×	body	128	invalid

preprocess60.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

1322×	`fma-neg_binary64`
1043×	`fma-def_binary64`
254×	`unsub-neg_binary64`
236×	`distribute-rgt-in_binary64`
145×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	47	44
2	116	44
3	276	44
4	666	44
5	1268	44
6	2428	44
7	3868	44
8	4074	44
9	4119	44
10	4119	44
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) z))
(+.f64 y (.f64 (.f64 (-.f64 x y) 6) z))
(+.f64 z (.f64 (.f64 (-.f64 y z) 6) x))
(+.f64 x (.f64 (.f64 (-.f64 z x) 6) y))

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify38.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-def_binary64`
515×	`fma-neg_binary64`
141×	`cancel-sign-sub-inv_binary64`
122×	`distribute-rgt-in_binary64`
106×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	16	11
2	37	11
3	93	11
4	218	11
5	415	11
6	601	11
7	952	11
8	1570	11
9	2157	11
10	2614	11
11	2678	11
12	2680	11
13	2680	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 20 to 11 computations (45% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
▶	0.2b	(fma.f64 6 (*.f64 (-.f64 y x) z) x)

Compiler

Compiled 46 to 30 computations (34.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series9.0ms (0.4%)

Counts

2 → 60

Calls

18 calls:

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

rewrite44.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`log1p-expm1-u_binary64`
848×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
87×	`*-un-lft-identity_binary64`
87×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	171	18
2	2228	18

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

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

Outputs

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

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

simplify58.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

951×	`fma-def_binary64`
569×	`fma-neg_binary64`
124×	`distribute-rgt-in_binary64`
119×	`cancel-sign-sub-inv_binary64`
84×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	681
1	76	627
2	169	519
3	359	519
4	653	519
5	1141	519
6	1836	519
7	2459	519
8	2882	519
9	2887	519
10	2887	519

Stop Event

1×

saturated

Counts

104 → 64

Calls

Call 1

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

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

eval14.0ms (0.5%)

Compiler: Compiled 750 to 342 computations (54.4% saved)

prune70.0ms (2.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	59	5	64
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	60	6	66

Error

0.0b

Counts

66 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 (*.f64 z 6) (-.f64 y x) x)
	1.4b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (.f64 (-.f64 y x) z) x)) 2) (cbrt.f64 (fma.f64 6 (*.f64 (-.f64 y x) z) x)))
	27.4b	(fma.f64 6 (/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 x x)) z) (+.f64 y x)) x)
	0.2b	(+.f64 (.f64 6 (.f64 y z)) (.f64 (+.f64 1 (.f64 -6 z)) x))
	0.2b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
	33.5b	(pow.f64 (sqrt.f64 (fma.f64 6 (*.f64 (-.f64 y x) z) x)) 2)

Compiler

Compiled 192 to 124 computations (35.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite42.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`log1p-expm1-u_binary64`
845×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
87×	`*-un-lft-identity_binary64`
87×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	171	11
2	2221	11

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

Outputs

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

simplify47.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
542×	`fma-neg_binary64`
109×	`cancel-sign-sub-inv_binary64`
108×	`distribute-rgt-in_binary64`
87×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	363
1	68	363
2	152	363
3	335	363
4	625	363
5	1068	363
6	1677	363
7	2224	363
8	2457	363
9	2547	363
10	2547	363

Stop Event

1×

saturated

Counts

59 → 35

Calls

Call 1

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

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

eval8.0ms (0.3%)

Compiler: Compiled 423 to 217 computations (48.7% saved)

prune29.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	35	6	41

Error

0.0b

Counts

41 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 (*.f64 z 6) (-.f64 y x) x)
	1.4b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 z 6) (-.f64 y x) x)) 2) (cbrt.f64 (fma.f64 (*.f64 z 6) (-.f64 y x) x)))
	27.4b	(fma.f64 6 (/.f64 (.f64 (-.f64 (.f64 y y) (*.f64 x x)) z) (+.f64 y x)) x)
▶	0.2b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
	33.5b	(pow.f64 (sqrt.f64 (fma.f64 (*.f64 z 6) (-.f64 y x) x)) 2)
	0.2b	(+.f64 (.f64 6 (.f64 y z)) (.f64 (+.f64 1 (.f64 -6 z)) x))

Compiler

Compiled 181 to 119 computations (34.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series9.0ms (0.3%)

Counts

3 → 96

Calls

24 calls:

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

rewrite56.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`log-prod_binary64`
404×	`fma-def_binary64`
190×	`fma-neg_binary64`
189×	`expm1-udef_binary64`
189×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	201	28
2	2857	28

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

Outputs

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

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

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

simplify72.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-def_binary64`
560×	`fma-neg_binary64`
109×	`cancel-sign-sub-inv_binary64`
108×	`distribute-rgt-in_binary64`
79×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	1169
1	76	1109
2	158	873
3	325	855
4	608	855
5	1051	855
6	1666	855
7	2213	855
8	2446	855
9	2536	855
10	2536	855

Stop Event

1×

saturated

Counts

199 → 123

Calls

Call 1

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

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

eval31.0ms (1.2%)

Compiler: Compiled 1758 to 918 computations (47.8% saved)

prune191.0ms (7.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	118	5	123
Fresh	4	0	4
Picked	1	0	1
Done	0	1	1
Total	123	6	129

Error

0.0b

Counts

129 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(fma.f64 (*.f64 z (-.f64 y x)) 6 x)
	0.7b	(+.f64 x (pow.f64 (cbrt.f64 (.f64 (.f64 (-.f64 y x) 6) z)) 3))
✓	0.1b	(fma.f64 (*.f64 z 6) (-.f64 y x) x)
▶	0.1b	(fma.f64 z (*.f64 (-.f64 y x) 6) x)
	23.7b	(fma.f64 (.f64 z (cbrt.f64 (.f64 36 (pow.f64 (-.f64 y x) 2)))) (cbrt.f64 (*.f64 (-.f64 y x) 6)) x)
	30.2b	(fma.f64 (.f64 z (sqrt.f64 (.f64 (-.f64 y x) 6))) (sqrt.f64 (*.f64 (-.f64 y x) 6)) x)

Compiler

Compiled 165 to 109 computations (33.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite38.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

847×	`log1p-expm1-u_binary64`
847×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
87×	`*-un-lft-identity_binary64`
87×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	171	11
2	2225	11

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify48.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
542×	`fma-neg_binary64`
109×	`cancel-sign-sub-inv_binary64`
108×	`distribute-rgt-in_binary64`
87×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	363
1	68	363
2	152	363
3	335	363
4	625	363
5	1068	363
6	1677	363
7	2224	363
8	2457	363
9	2547	363
10	2547	363

Stop Event

1×

saturated

Counts

59 → 36

Calls

Call 1

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

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

eval17.0ms (0.6%)

Compiler: Compiled 778 to 411 computations (47.2% saved)

prune60.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	64	6	70

Error

0.0b

Counts

70 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 (*.f64 z 6) (-.f64 y x) x)
✓	0.1b	(fma.f64 z (*.f64 (-.f64 y x) 6) x)
	0.2b	(fma.f64 6 (*.f64 z (-.f64 y x)) x)
	23.7b	(fma.f64 (.f64 z (cbrt.f64 (.f64 36 (pow.f64 (-.f64 y x) 2)))) (cbrt.f64 (*.f64 (-.f64 y x) 6)) x)
	0.7b	(+.f64 x (pow.f64 (cbrt.f64 (.f64 (.f64 (-.f64 y x) 6) z)) 3))
	30.2b	(fma.f64 (.f64 z (sqrt.f64 (.f64 (-.f64 y x) 6))) (sqrt.f64 (*.f64 (-.f64 y x) 6)) x)

Compiler

Compiled 88 to 58 computations (34.1% saved)

regimes62.0ms (2.3%)

Accuracy

Total -56.5b remaining (-40199.4%)

Threshold costs -56.5b (-40199.4%)

Counts

16 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
9.0ms	0.1b	1	`x`
29.0ms	0.1b	1	`y`
9.0ms	0.1b	1	`z`
10.0ms	0.1b	1	`(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))`

Compiler

Compiled 228 to 120 computations (47.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	11	11
2	16	11
3	18	11
4	19	11

Stop Event

1×

saturated

Calls

Call 1

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

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

end35.0ms (1.3%)

Stop Event

1×

fuel

Compiler

Compiled 22 to 14 computations (36.4% saved)

Details

analyze562.0ms (21.3%)

sample999.0ms (37.9%)

preprocess60.0ms (2.3%)

simplify38.0ms (1.4%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series9.0ms (0.4%)

rewrite44.0ms (1.7%)

simplify58.0ms (2.2%)

eval14.0ms (0.5%)

prune70.0ms (2.7%)

localize5.0ms (0.2%)

series4.0ms (0.2%)

rewrite42.0ms (1.6%)

simplify47.0ms (1.8%)

eval8.0ms (0.3%)

prune29.0ms (1.1%)

localize6.0ms (0.2%)

series9.0ms (0.3%)

rewrite56.0ms (2.1%)

simplify72.0ms (2.7%)

eval31.0ms (1.2%)

prune191.0ms (7.3%)

localize5.0ms (0.2%)

series4.0ms (0.2%)

rewrite38.0ms (1.5%)

simplify48.0ms (1.8%)

eval17.0ms (0.6%)

prune60.0ms (2.3%)

regimes62.0ms (2.3%)

simplify2.0ms (0.1%)

end35.0ms (1.3%)

Profiling