Details

analyze375.0ms (14.8%)

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
34.3%	65.5%	0.1%	7
39%	60.8%	0.1%	8
46%	53.8%	0.1%	9
50.7%	44.5%	4.8%	10
55.4%	38.4%	6.2%	11
60.9%	32.6%	6.5%	12
64.9%	25.7%	9.4%	13
68%	21.4%	10.6%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample929.0ms (36.6%)

Results

813.0ms	8256×	body	128	valid
102.0ms	1063×	body	128	invalid

Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess60.0ms (2.4%)

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)

simplify49.0ms (1.9%)

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)

prune3.0ms (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

Status	Error	Program
▶	0.1b	(fma.f64 6 (*.f64 (-.f64 y x) z) x)
	0.2b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))

Compiler

Compiled 66 to 41 computations (37.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series9.0ms (0.4%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
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	@	-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)

rewrite65.0ms (2.6%)

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 expm1.f64 (log1p.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 +.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 expm1.f64 (log1p.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))))))

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 expm1.f64 (log1p.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 +.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 expm1.f64 (log1p.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))))))

simplify57.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

572×	`fma-def_binary64`
520×	`fma-neg_binary64`
107×	`cancel-sign-sub-inv_binary64`
101×	`associate-l_binary64`
87×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	861
1	96	663
2	227	657
3	506	603
4	1028	603
5	1781	603
6	2171	603
7	2292	603
8	2296	603
9	2296	603

Stop Event

1×

saturated

Counts

116 → 63

Calls

Call 1

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

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

prune61.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	59	4	63
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	60	5	65

Error

0.0b

Counts

65 → 5

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 6 (*.f64 (-.f64 y x) z) x)
	0.9b	(fma.f64 6 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) 3) x)
	0.2b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
	24.8b	(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
▶	0.2b	(fma.f64 (*.f64 z -6) (-.f64 x y) x)

Compiler

Compiled 851 to 416 computations (51.1% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

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

rewrite40.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`log1p-expm1-u_binary64`
846×	`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	2223	11

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

Outputs

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

simplify48.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

739×	`fma-def_binary64`
517×	`fma-neg_binary64`
106×	`cancel-sign-sub-inv_binary64`
96×	`associate-l_binary64`
95×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	531
1	82	423
2	205	417
3	480	363
4	967	363
5	1690	363
6	2237	363
7	2474	363
8	2478	363
9	2478	363

Stop Event

1×

saturated

Counts

59 → 34

Calls

Call 1

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

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

prune23.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	34	5	39

Error

0.0b

Counts

39 → 5

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 6 (*.f64 (-.f64 y x) z) x)
	0.9b	(fma.f64 6 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) 3) x)
▶	0.2b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
	24.8b	(.f64 (-.f64 (.f64 6 y) (*.f64 6 x)) z)
✓	0.2b	(fma.f64 (*.f64 z -6) (-.f64 x y) x)

Compiler

Compiled 516 to 295 computations (42.8% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 6 (.f64 y z)) x)
✓	0.0b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
✓	0.2b	(.f64 6 (.f64 y z))
✓	0.3b	(.f64 6 (.f64 z x))

series12.0ms (0.5%)

Counts

4 → 18

Calls

30 calls:

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

rewrite75.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`fma-def_binary64`
305×	`fma-neg_binary64`
230×	`expm1-udef_binary64`
230×	`log1p-udef_binary64`
151×	`egg-rr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	251	39
2	3646	37

Stop Event

1×	node limit

Counts

4 → 229

Calls

Call 1

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

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

simplify39.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-def_binary64`
302×	`fma-neg_binary64`
101×	`associate-l_binary64`
81×	`associate-r_binary64`
79×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	111
1	75	111
2	185	105
3	434	105
4	870	105
5	1394	105
6	1829	105
7	2049	105
8	2052	105
9	2052	105

Stop Event

1×

saturated

Counts

247 → 239

Calls

Call 1

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

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

prune217.0ms (8.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	237	2	239
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	238	6	244

Error

Counts

244 → 6

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 6 (*.f64 (-.f64 y x) z) x)
	0.9b	(fma.f64 6 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) 3) x)
✓	0.2b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
	27.4b	(fma.f64 (sqrt.f64 (.f64 z y)) (.f64 (sqrt.f64 (.f64 z y)) 6) (-.f64 x (.f64 z (*.f64 x 6))))
▶	0.2b	(fma.f64 z (.f64 6 y) (-.f64 x (.f64 z (*.f64 x 6))))
✓	0.2b	(fma.f64 (*.f64 z -6) (-.f64 x y) x)

Compiler

Compiled 5225 to 2896 computations (44.6% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 z (.f64 x 6)))
✓	0.1b	(fma.f64 z (.f64 6 y) (-.f64 x (.f64 z (*.f64 x 6))))
✓	0.2b	(.f64 z (.f64 x 6))

series7.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

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

rewrite79.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

871×	`prod-diff_binary64`
199×	`log1p-udef_binary64`
113×	`add-sqr-sqrt_binary64`
111×	`egg-rr`
110×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	216	34
2	2885	34

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

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

Outputs

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simplify64.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary64`
517×	`fma-neg_binary64`
106×	`cancel-sign-sub-inv_binary64`
100×	`associate-l_binary64`
97×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	924
1	84	816
2	207	768
3	493	714
4	981	714
5	1710	714
6	2238	714
7	2475	714
8	2479	714
9	2479	714

Stop Event

1×

saturated

Counts

233 → 164

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

prune132.0ms (5.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	164	6	170

Error

Counts

170 → 6

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 6 (*.f64 (-.f64 y x) z) x)
	0.9b	(fma.f64 6 (pow.f64 (cbrt.f64 (*.f64 (-.f64 y x) z)) 3) x)
✓	0.2b	(-.f64 (+.f64 (.f64 6 (.f64 y z)) x) (.f64 6 (.f64 z x)))
	27.4b	(fma.f64 (sqrt.f64 (.f64 z y)) (.f64 (sqrt.f64 (.f64 z y)) 6) (-.f64 x (.f64 z (*.f64 x 6))))
✓	0.2b	(fma.f64 z (.f64 6 y) (-.f64 x (.f64 z (*.f64 x 6))))
✓	0.2b	(fma.f64 (*.f64 z -6) (-.f64 x y) x)

Compiler

Compiled 4467 to 2662 computations (40.4% saved)

regimes87.0ms (3.4%)

Accuracy

Total 0.2b remaining (95.1%)

Threshold costs 0.2b (95.1%)

Counts

42 → 1

Compiler

Compiled 411 to 205 computations (50.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	12	15

Stop Event

1×

saturated

Calls

Call 1

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

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

end74.0ms (2.9%)

Stop Event

1×

fuel

Compiler

Compiled 116 to 75 computations (35.3% saved)

Details

analyze375.0ms (14.8%)

sample929.0ms (36.6%)

preprocess60.0ms (2.4%)

simplify49.0ms (1.9%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series9.0ms (0.4%)

rewrite65.0ms (2.6%)

simplify57.0ms (2.3%)

prune61.0ms (2.4%)

localize5.0ms (0.2%)

series6.0ms (0.2%)

rewrite40.0ms (1.6%)

simplify48.0ms (1.9%)

prune23.0ms (0.9%)

localize9.0ms (0.4%)

series12.0ms (0.5%)

rewrite75.0ms (3%)

simplify39.0ms (1.5%)

prune217.0ms (8.5%)

localize7.0ms (0.3%)

series7.0ms (0.3%)

rewrite79.0ms (3.1%)

simplify64.0ms (2.5%)

prune132.0ms (5.2%)

regimes87.0ms (3.4%)

simplify2.0ms (0.1%)

end74.0ms (2.9%)

Profiling