Details

analyze258.0ms (2.9%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.8s (20.4%)

Results

1.6s	8256×	body	256	valid
230.0ms	1260×	body	256	infinite

Bogosity

preprocess190.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

1324×	`fma-neg_binary64`
1187×	`fma-def_binary64`
275×	`unsub-neg_binary64`
241×	`distribute-rgt-in_binary64`
150×	`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	665	44
5	1266	44
6	2435	44
7	3880	44
8	4101	44
9	4146	44
10	4146	44
11	5162	44
12	5322	44
13	5322	44
14	5322	44
0	3	3

Stop Event

1×	saturated
1×	saturated

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 (*.f64 (-.f64 y x) 6) 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)
(+.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)
(+.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 15 to 11 computations (26.7% saved)

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

764×	`fma-def_binary64`
522×	`fma-neg_binary64`
141×	`cancel-sign-sub-inv_binary64`
119×	`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	219	11
5	415	11
6	599	11
7	949	11
8	1565	11
9	2143	11
10	2601	11
11	2665	11
12	2667	11
13	2667	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 (*.f64 (-.f64 y x) 6) z x)

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize11.0ms (0.1%)

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)

Compiler

Compiled 31 to 14 computations (54.8% saved)

series17.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

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

rewrite102.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`log-prod_binary64`
404×	`fma-def_binary64`
379×	`exp-prod_binary64`
366×	`pow-prod-down_binary64`
276×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	201	28
2	2862	28

Stop Event

1×	node limit

Counts

3 → 130

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

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

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-def_binary64`
545×	`fma-neg_binary64`
110×	`cancel-sign-sub-inv_binary64`
107×	`distribute-rgt-in_binary64`
82×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	1169
1	76	1109
2	158	873
3	330	855
4	613	855
5	1055	855
6	1659	855
7	2206	855
8	2439	855
9	2529	855
10	2529	855

Stop Event

1×

saturated

Counts

226 → 150

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

localize25.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 10 computations (56.5% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`pow1_binary64`
847×	`add-log-exp_binary64`
847×	`log1p-expm1-u_binary64`
847×	`expm1-log1p-u_binary64`
829×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	171	11
2	2229	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
563×	`fma-neg_binary64`
110×	`cancel-sign-sub-inv_binary64`
107×	`distribute-rgt-in_binary64`
87×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	471
1	68	471
2	152	363
3	340	363
4	630	363
5	1076	363
6	1707	363
7	2254	363
8	2487	363
9	2577	363
10	2577	363

Stop Event

1×

saturated

Counts

57 → 35

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)

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

eval59.0ms (0.7%)

Compiler: Compiled 3070 to 1650 computations (46.3% saved)

prune42.0ms (0.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	208	13	221
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	210	13	223

Error

Counts

223 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.9b	(.f64 6 (.f64 z (-.f64 y x)))
	33.3b	x
	23.7b	(.f64 (+.f64 1 (.f64 -6 z)) x)
	27.7b	(+.f64 x (pow.f64 (sqrt.f64 (.f64 (-.f64 y x) (.f64 6 z))) 2))
	27.0b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 z)) (+.f64 y x)))
▶	10.2b	(+.f64 x (.f64 (.f64 6 y) z))
	22.6b	(+.f64 x (.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) 6) (+.f64 y x)) z))
	23.7b	(+.f64 x (.f64 (.f64 -6 x) z))
	0.1b	(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
▶	10.2b	(+.f64 x (.f64 6 (.f64 y z)))
	39.2b	(.f64 z (.f64 6 y))
▶	39.2b	(.f64 6 (.f64 y z))
▶	0.1b	(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) z))

Compiler

Compiled 298 to 205 computations (31.2% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 41 to 27 computations (34.1% saved)

series12.0ms (0.1%)

Counts

3 → 78

Calls

24 calls:

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

rewrite89.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`log-prod_binary64`
493×	`fma-def_binary64`
412×	`pow-prod-down_binary64`
314×	`pow2_binary64`
239×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	240	31
2	3273	31

Stop Event

1×	node limit

Counts

3 → 147

Calls

Call 1

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

Outputs

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

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-def_binary64`
646×	`fma-neg_binary64`
149×	`cancel-sign-sub-inv_binary64`
98×	`associate-l_binary64`
89×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	1025
1	76	788
2	145	788
3	266	756
4	471	729
5	955	729
6	1623	729
7	2363	729
8	2685	729
9	2794	729
10	2794	729

Stop Event

1×

saturated

Counts

225 → 167

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

Outputs
(.f64 -6 (.f64 z x))
(.f64 z (.f64 -6 x))
(+.f64 (.f64 -6 (.f64 z x)) (.f64 6 (.f64 y z)))
(fma.f64 -6 (.f64 z x) (.f64 6 (*.f64 z y)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y 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)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y 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)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y 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)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y 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)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y 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)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y 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)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y 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)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y 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)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y 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)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y 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)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y 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)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y x))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 z (.f64 -6 (-.f64 x y)))
(.f64 -6 (.f64 z x))
(.f64 z (.f64 -6 x))
(+.f64 (.f64 -6 (.f64 z x)) (.f64 6 (.f64 y z)))
(fma.f64 -6 (.f64 z x) (.f64 6 (*.f64 z y)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y 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)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y 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)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y x))
(.f64 z (.f64 6 (-.f64 y x)))
(.f64 z (.f64 -6 (-.f64 x y)))
(.f64 -6 (.f64 z x))
(.f64 z (.f64 -6 x))
(+.f64 (.f64 -6 (.f64 z x)) (.f64 6 (.f64 y z)))
(fma.f64 -6 (.f64 z x) (.f64 6 (*.f64 z y)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y 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)))
(.f64 z (fma.f64 -6 x (.f64 6 y)))
(.f64 z (fma.f64 6 y (.f64 -6 x)))
(.f64 (.f64 z 6) (-.f64 y x))
(.f64 z (.f64 6 (-.f64 y x)))
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localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 8 computations (63.6% saved)

series11.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

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

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

919×	`pow1_binary64`
854×	`add-log-exp_binary64`
854×	`log1p-expm1-u_binary64`
854×	`expm1-log1p-u_binary64`
837×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	17
2	2266	17

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify151.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×

saturated

Counts

94 → 47

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite117.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`pow1_binary64`
845×	`add-log-exp_binary64`
845×	`log1p-expm1-u_binary64`
845×	`expm1-log1p-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	171	8
2	2277	8

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	255
1	14	255
2	23	255
3	29	255

Stop Event

1×

saturated

Counts

72 → 40

Calls

Call 1

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

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

localize28.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series7.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite104.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`pow1_binary64`
845×	`add-log-exp_binary64`
845×	`log1p-expm1-u_binary64`
845×	`expm1-log1p-u_binary64`
827×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	171	15
2	2277	15

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

6×	`fma-def_binary64`
5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	423
1	14	423
2	23	423
3	29	423

Stop Event

1×

saturated

Counts

107 → 50

Calls

Call 1

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

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

eval162.0ms (1.8%)

Compiler: Compiled 4609 to 2759 computations (40.1% saved)

prune101.0ms (1.1%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	317	9	326
Fresh	7	1	8
Picked	0	1	1
Done	0	4	4
Total	324	15	339

Error

Counts

339 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.4b	(/.f64 (.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
	53.0b	(.f64 z (.f64 -6 x))
✓	10.2b	(+.f64 x (.f64 6 (.f64 y z)))
▶	53.0b	(.f64 -6 (.f64 z x))
	23.7b	(.f64 (+.f64 1 (.f64 -6 z)) x)
	51.3b	(pow.f64 (sqrt.f64 (.f64 6 (.f64 y z))) 2)
▶	0.1b	(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
✓	29.9b	(.f64 6 (.f64 z (-.f64 y x)))
	29.9b	(.f64 6 (+.f64 (.f64 z y) (*.f64 z (neg.f64 x))))
▶	23.7b	(+.f64 (.f64 -6 (.f64 z x)) x)
✓	39.2b	(.f64 6 (.f64 y z))
✓	10.2b	(+.f64 x (.f64 (.f64 6 y) z))
▶	39.2b	(.f64 z (.f64 6 y))
✓	0.1b	(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) z))
	33.3b	x

Compiler

Compiled 252 to 180 computations (28.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 14 computations (51.7% saved)

series5.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`log-prod_binary64`
382×	`exp-prod_binary64`
376×	`pow-prod-down_binary64`
372×	`fma-def_binary64`
276×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	202	21
2	2836	21

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

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

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

simplify103.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
542×	`fma-neg_binary64`
110×	`cancel-sign-sub-inv_binary64`
107×	`distribute-rgt-in_binary64`
90×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	941
1	70	941
2	154	705
3	339	705
4	629	705
5	1077	705
6	1690	705
7	2237	705
8	2470	705
9	2560	705
10	2560	705

Stop Event

1×

saturated

Counts

177 → 121

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 (.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)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

35 → 12

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

series2.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`pow1_binary64`
757×	`add-log-exp_binary64`
757×	`log1p-expm1-u_binary64`
757×	`expm1-log1p-u_binary64`
742×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	153	8
2	2058	8

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify33.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

270×	`fma-def_binary64`
147×	`fma-neg_binary64`
53×	`associate-l_binary64`
48×	`associate-r_binary64`
44×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	135
1	33	111
2	72	111
3	167	111
4	305	111
5	501	111
6	741	111
7	987	111
8	1003	111
9	1008	111

Stop Event

1×

saturated

Counts

54 → 45

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.2b	(-.f64 (.f64 y y) (.f64 x x))
✓	9.1b	(.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x)))
✓	19.8b	(/.f64 (.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))

Compiler

Compiled 52 to 17 computations (67.3% saved)

series18.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(/.f64 (.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
1.0ms	x	@	0	(/.f64 (.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
1.0ms	z	@	inf	(/.f64 (.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
1.0ms	y	@	0	(/.f64 (.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
1.0ms	y	@	inf	(/.f64 (.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))

rewrite171.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`log-prod_binary64`
585×	`fma-def_binary64`
253×	`fma-neg_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	276	39
2	4125	39

Stop Event

1×	node limit

Counts

3 → 291

Calls

Call 1

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

Outputs

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(*.f64 x x)) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) (*.f64 x x))) (cbrt.f64 (fma.f64 x (neg.f64 x) (*.f64 x x)))) (cbrt.f64 (fma.f64 x (neg.f64 x) (*.f64 x x))) (-.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) (cbrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (*.f64 x (neg.f64 x))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) x) (hypot.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) x) (-.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))))

simplify130.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

568×	`associate-/r/_binary64`
558×	`associate-*l/_binary64`
476×	`associate-/l/_binary64`
443×	`associate-/r*_binary64`
348×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	1452
1	71	1452
2	172	1452
3	443	1182
4	1443	1092
5	3714	1092

Stop Event

1×	node limit

Counts

387 → 310

Calls

Call 1

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

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

eval401.0ms (4.5%)

Compiler: Compiled 10262 to 4181 computations (59.3% saved)

prune231.0ms (2.6%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	503	7	510
Fresh	3	2	5
Picked	1	0	1
Done	0	9	9
Total	507	18	525

Error

Counts

525 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
	33.3b	x
▶	52.9b	(.f64 x (.f64 z -6))
▶	29.9b	(pow.f64 (/.f64 (/.f64 1 (-.f64 y x)) (*.f64 6 z)) -1)
▶	53.0b	(.f64 z (.f64 -6 x))
✓	10.2b	(+.f64 x (.f64 6 (.f64 y z)))
✓	53.0b	(.f64 -6 (.f64 z x))
✓	29.9b	(.f64 6 (.f64 z (-.f64 y x)))
	47.1b	(/.f64 (.f64 (.f64 y z) (*.f64 6 y)) (+.f64 y x))
▶	23.7b	(.f64 (+.f64 (.f64 -6 z) 1) x)
✓	0.1b	(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) z))
	39.2b	(.f64 y (.f64 6 z))
	29.9b	(.f64 6 (+.f64 (.f64 z y) (*.f64 z (neg.f64 x))))
✓	23.7b	(+.f64 (.f64 -6 (.f64 z x)) x)
▶	57.1b	(/.f64 (.f64 x (.f64 x (*.f64 z -6))) (+.f64 y x))
✓	39.2b	(.f64 6 (.f64 y z))
✓	10.2b	(+.f64 x (.f64 (.f64 6 y) z))
✓	39.2b	(.f64 z (.f64 6 y))

Compiler

Compiled 272 to 195 computations (28.3% saved)

localize19.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite84.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`pow1_binary64`
710×	`log1p-expm1-u_binary64`
710×	`expm1-log1p-u_binary64`
709×	`add-log-exp_binary64`
696×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	164	8
2	1960	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify29.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

31×	`fma-def_binary64`
10×	`associate-r_binary64`
10×	`associate-l_binary64`
5×	`*-commutative_binary64`
4×	`*-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	183
1	21	183
2	39	183
3	60	183
4	83	183
5	87	183
6	89	183

Stop Event

1×

saturated

Counts

45 → 27

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`pow1_binary64`
515×	`add-log-exp_binary64`
515×	`log1p-expm1-u_binary64`
515×	`expm1-log1p-u_binary64`
504×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1401	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

35 → 12

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

35 → 12

Calls

Call 1

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

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

localize33.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x (*.f64 z -6)))
	0.2b	(.f64 x (.f64 z -6))
✓	12.5b	(/.f64 (.f64 x (.f64 x (*.f64 z -6))) (+.f64 y x))

Compiler

Compiled 36 to 19 computations (47.2% saved)

series16.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`log-prod_binary64`
482×	`prod-diff_binary64`
297×	`pow2_binary64`
246×	`pow-unpow_binary64`
210×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	220	26
2	3183	26

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

714×	`associate-*l/_binary64`
574×	`distribute-rgt-out_binary64`
568×	`associate-/r/_binary64`
485×	`associate-*r/_binary64`
434×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	1149
1	155	1149
2	482	1122
3	2134	1050
4	5836	1023
5	7636	1023

Stop Event

1×	node limit

Counts

136 → 96

Calls

Call 1

Inputs
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y))
(+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y)))
(+.f64 (.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y))))
(+.f64 (.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 5)) (pow.f64 y 4))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y)))))
(.f64 -6 (.f64 z x))
(+.f64 (.f64 -6 (.f64 z x)) (.f64 6 (.f64 y z)))
(+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) (.f64 -6 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(+.f64 (.f64 6 (/.f64 (.f64 (pow.f64 y 3) z) (pow.f64 x 2))) (+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) (.f64 -6 (/.f64 (.f64 (pow.f64 y 2) z) x)))))
(.f64 -6 (.f64 z x))
(+.f64 (.f64 -6 (.f64 z x)) (.f64 6 (.f64 y z)))
(+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) (.f64 -6 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(+.f64 (.f64 6 (/.f64 (.f64 (pow.f64 y 3) z) (pow.f64 x 2))) (+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) (.f64 -6 (/.f64 (.f64 (pow.f64 y 2) z) x)))))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (.f64 z x))
(+.f64 (.f64 -6 (.f64 z x)) (.f64 6 (.f64 y z)))
(+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) (.f64 -6 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(+.f64 (.f64 6 (/.f64 (.f64 (pow.f64 y 3) z) (pow.f64 x 2))) (+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) (.f64 -6 (/.f64 (.f64 (pow.f64 y 2) z) x)))))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y))
(+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y)))
(+.f64 (.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y))))
(+.f64 (.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 5)) (pow.f64 y 4))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y)))))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y))
(+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y)))
(+.f64 (.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y))))
(+.f64 (.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 5)) (pow.f64 y 4))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y)))))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (pow.f64 x 2)))

Outputs
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y))
(.f64 -6 (/.f64 z (/.f64 y (.f64 x x))))
(.f64 -6 (.f64 (/.f64 z y) (*.f64 x x)))
(.f64 (/.f64 z y) (.f64 -6 (*.f64 x x)))
(.f64 -6 (.f64 (/.f64 x (/.f64 y z)) x))
(+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y)))
(fma.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (.f64 y y)) (.f64 -6 (/.f64 z (/.f64 y (.f64 x x)))))
(fma.f64 -6 (.f64 (/.f64 z y) (.f64 x x)) (.f64 6 (.f64 (/.f64 z (*.f64 y y)) (pow.f64 x 3))))
(fma.f64 -6 (.f64 (.f64 x x) (/.f64 z y)) (.f64 (/.f64 (pow.f64 x 3) y) (.f64 (/.f64 z y) 6)))
(.f64 (.f64 (/.f64 x (/.f64 y z)) x) (+.f64 -6 (*.f64 (/.f64 6 y) x)))
(+.f64 (.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y))))
(fma.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3)) (fma.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (.f64 y y)) (.f64 -6 (/.f64 z (/.f64 y (*.f64 x x))))))
(fma.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3)) (fma.f64 -6 (.f64 (/.f64 z y) (.f64 x x)) (.f64 6 (.f64 (/.f64 z (.f64 y y)) (pow.f64 x 3)))))
(fma.f64 6 (.f64 (pow.f64 x 3) (/.f64 z (.f64 y y))) (.f64 -6 (+.f64 (.f64 (.f64 x x) (/.f64 z y)) (.f64 (pow.f64 x 4) (/.f64 z (pow.f64 y 3))))))
(fma.f64 -6 (.f64 z (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 (.f64 (/.f64 x (/.f64 y z)) x) (+.f64 -6 (.f64 (/.f64 6 y) x))))
(.f64 (.f64 (/.f64 x (/.f64 y z)) x) (+.f64 -6 (.f64 x (+.f64 (/.f64 -6 (/.f64 (.f64 y y) x)) (/.f64 6 y)))))
(+.f64 (.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 5)) (pow.f64 y 4))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y)))))
(fma.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3)) (fma.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (.f64 y y)) (fma.f64 6 (/.f64 (.f64 z (pow.f64 x 5)) (pow.f64 y 4)) (.f64 -6 (/.f64 z (/.f64 y (.f64 x x)))))))
(fma.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3)) (fma.f64 6 (.f64 (/.f64 z (.f64 y y)) (pow.f64 x 3)) (fma.f64 -6 (.f64 (/.f64 z y) (.f64 x x)) (/.f64 (.f64 z 6) (/.f64 (pow.f64 y 4) (pow.f64 x 5))))))
(fma.f64 6 (.f64 (/.f64 z (.f64 y y)) (+.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 5) (.f64 y y)))) (.f64 -6 (+.f64 (.f64 (.f64 x x) (/.f64 z y)) (*.f64 (pow.f64 x 4) (/.f64 z (pow.f64 y 3))))))
(fma.f64 6 (.f64 (/.f64 z (.f64 y y)) (+.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 5) (.f64 y y)))) (.f64 (/.f64 (.f64 -6 z) y) (+.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (*.f64 y y)))))
(+.f64 (.f64 (.f64 (/.f64 x (/.f64 y z)) x) (+.f64 -6 (.f64 (/.f64 6 y) x))) (.f64 (/.f64 z (pow.f64 y 3)) (+.f64 (.f64 -6 (pow.f64 x 4)) (/.f64 (.f64 6 (pow.f64 x 5)) y))))
(.f64 -6 (.f64 z x))
(.f64 x (.f64 -6 z))
(+.f64 (.f64 -6 (.f64 z x)) (.f64 6 (.f64 y z)))
(fma.f64 -6 (.f64 z x) (.f64 6 (*.f64 z y)))
(fma.f64 -6 (.f64 z x) (.f64 z (*.f64 y 6)))
(.f64 z (+.f64 (.f64 -6 x) (*.f64 y 6)))
(.f64 z (+.f64 (.f64 y 6) (*.f64 -6 x)))
(+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) (.f64 -6 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(fma.f64 -6 (.f64 z x) (fma.f64 6 (.f64 z y) (.f64 -6 (/.f64 (.f64 z (*.f64 y y)) x))))
(fma.f64 -6 (.f64 z x) (fma.f64 -6 (.f64 (/.f64 (.f64 y y) x) z) (.f64 z (*.f64 y 6))))
(fma.f64 z (.f64 y 6) (.f64 -6 (+.f64 (.f64 z (/.f64 (.f64 y y) x)) (*.f64 z x))))
(fma.f64 z (.f64 y 6) (.f64 -6 (.f64 z (+.f64 x (/.f64 (.f64 y y) x)))))
(.f64 z (+.f64 (.f64 y 6) (.f64 -6 (+.f64 x (/.f64 (.f64 y y) x)))))
(+.f64 (.f64 6 (/.f64 (.f64 (pow.f64 y 3) z) (pow.f64 x 2))) (+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) (.f64 -6 (/.f64 (.f64 (pow.f64 y 2) z) x)))))
(fma.f64 6 (/.f64 (pow.f64 y 3) (/.f64 (.f64 x x) z)) (fma.f64 -6 (.f64 z x) (fma.f64 6 (.f64 z y) (.f64 -6 (/.f64 (.f64 z (.f64 y y)) x)))))
(fma.f64 6 (.f64 (/.f64 z x) (/.f64 (pow.f64 y 3) x)) (fma.f64 -6 (.f64 z x) (fma.f64 -6 (.f64 (/.f64 (.f64 y y) x) z) (.f64 z (.f64 y 6)))))
(fma.f64 6 (.f64 z (/.f64 (pow.f64 y 3) (.f64 x x))) (fma.f64 z (.f64 y 6) (.f64 -6 (+.f64 (.f64 z (/.f64 (.f64 y y) x)) (*.f64 z x)))))
(+.f64 (.f64 -6 (.f64 z (+.f64 x (/.f64 (.f64 y y) x)))) (.f64 (.f64 z 6) (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(.f64 z (+.f64 (.f64 -6 (+.f64 x (/.f64 (.f64 y y) x))) (.f64 6 (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(.f64 -6 (.f64 z x))
(.f64 x (.f64 -6 z))
(+.f64 (.f64 -6 (.f64 z x)) (.f64 6 (.f64 y z)))
(fma.f64 -6 (.f64 z x) (.f64 6 (*.f64 z y)))
(fma.f64 -6 (.f64 z x) (.f64 z (*.f64 y 6)))
(.f64 z (+.f64 (.f64 -6 x) (*.f64 y 6)))
(.f64 z (+.f64 (.f64 y 6) (*.f64 -6 x)))
(+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) (.f64 -6 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(fma.f64 -6 (.f64 z x) (fma.f64 6 (.f64 z y) (.f64 -6 (/.f64 (.f64 z (*.f64 y y)) x))))
(fma.f64 -6 (.f64 z x) (fma.f64 -6 (.f64 (/.f64 (.f64 y y) x) z) (.f64 z (*.f64 y 6))))
(fma.f64 z (.f64 y 6) (.f64 -6 (+.f64 (.f64 z (/.f64 (.f64 y y) x)) (*.f64 z x))))
(fma.f64 z (.f64 y 6) (.f64 -6 (.f64 z (+.f64 x (/.f64 (.f64 y y) x)))))
(.f64 z (+.f64 (.f64 y 6) (.f64 -6 (+.f64 x (/.f64 (.f64 y y) x)))))
(+.f64 (.f64 6 (/.f64 (.f64 (pow.f64 y 3) z) (pow.f64 x 2))) (+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) (.f64 -6 (/.f64 (.f64 (pow.f64 y 2) z) x)))))
(fma.f64 6 (/.f64 (pow.f64 y 3) (/.f64 (.f64 x x) z)) (fma.f64 -6 (.f64 z x) (fma.f64 6 (.f64 z y) (.f64 -6 (/.f64 (.f64 z (.f64 y y)) x)))))
(fma.f64 6 (.f64 (/.f64 z x) (/.f64 (pow.f64 y 3) x)) (fma.f64 -6 (.f64 z x) (fma.f64 -6 (.f64 (/.f64 (.f64 y y) x) z) (.f64 z (.f64 y 6)))))
(fma.f64 6 (.f64 z (/.f64 (pow.f64 y 3) (.f64 x x))) (fma.f64 z (.f64 y 6) (.f64 -6 (+.f64 (.f64 z (/.f64 (.f64 y y) x)) (*.f64 z x)))))
(+.f64 (.f64 -6 (.f64 z (+.f64 x (/.f64 (.f64 y y) x)))) (.f64 (.f64 z 6) (+.f64 y (/.f64 (pow.f64 y 3) (.f64 x x)))))
(.f64 z (+.f64 (.f64 -6 (+.f64 x (/.f64 (.f64 y y) x))) (.f64 6 (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (*.f64 x x)) (+.f64 x y)))
(.f64 -6 (.f64 (/.f64 z (+.f64 x y)) (*.f64 x x)))
(.f64 (/.f64 (.f64 -6 z) (+.f64 x y)) (*.f64 x x))
(.f64 (/.f64 (.f64 x x) (+.f64 x y)) (*.f64 -6 z))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (*.f64 x x)) (+.f64 x y)))
(.f64 -6 (.f64 (/.f64 z (+.f64 x y)) (*.f64 x x)))
(.f64 (/.f64 (.f64 -6 z) (+.f64 x y)) (*.f64 x x))
(.f64 (/.f64 (.f64 x x) (+.f64 x y)) (*.f64 -6 z))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (*.f64 x x)) (+.f64 x y)))
(.f64 -6 (.f64 (/.f64 z (+.f64 x y)) (*.f64 x x)))
(.f64 (/.f64 (.f64 -6 z) (+.f64 x y)) (*.f64 x x))
(.f64 (/.f64 (.f64 x x) (+.f64 x y)) (*.f64 -6 z))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (*.f64 x x)) (+.f64 x y)))
(.f64 -6 (.f64 (/.f64 z (+.f64 x y)) (*.f64 x x)))
(.f64 (/.f64 (.f64 -6 z) (+.f64 x y)) (*.f64 x x))
(.f64 (/.f64 (.f64 x x) (+.f64 x y)) (*.f64 -6 z))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (*.f64 x x)) (+.f64 x y)))
(.f64 -6 (.f64 (/.f64 z (+.f64 x y)) (*.f64 x x)))
(.f64 (/.f64 (.f64 -6 z) (+.f64 x y)) (*.f64 x x))
(.f64 (/.f64 (.f64 x x) (+.f64 x y)) (*.f64 -6 z))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (*.f64 x x)) (+.f64 x y)))
(.f64 -6 (.f64 (/.f64 z (+.f64 x y)) (*.f64 x x)))
(.f64 (/.f64 (.f64 -6 z) (+.f64 x y)) (*.f64 x x))
(.f64 (/.f64 (.f64 x x) (+.f64 x y)) (*.f64 -6 z))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (*.f64 x x)) (+.f64 x y)))
(.f64 -6 (.f64 (/.f64 z (+.f64 x y)) (*.f64 x x)))
(.f64 (/.f64 (.f64 -6 z) (+.f64 x y)) (*.f64 x x))
(.f64 (/.f64 (.f64 x x) (+.f64 x y)) (*.f64 -6 z))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (*.f64 x x)) (+.f64 x y)))
(.f64 -6 (.f64 (/.f64 z (+.f64 x y)) (*.f64 x x)))
(.f64 (/.f64 (.f64 -6 z) (+.f64 x y)) (*.f64 x x))
(.f64 (/.f64 (.f64 x x) (+.f64 x y)) (*.f64 -6 z))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (*.f64 x x)) (+.f64 x y)))
(.f64 -6 (.f64 (/.f64 z (+.f64 x y)) (*.f64 x x)))
(.f64 (/.f64 (.f64 -6 z) (+.f64 x y)) (*.f64 x x))
(.f64 (/.f64 (.f64 x x) (+.f64 x y)) (*.f64 -6 z))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (*.f64 x x)) (+.f64 x y)))
(.f64 -6 (.f64 (/.f64 z (+.f64 x y)) (*.f64 x x)))
(.f64 (/.f64 (.f64 -6 z) (+.f64 x y)) (*.f64 x x))
(.f64 (/.f64 (.f64 x x) (+.f64 x y)) (*.f64 -6 z))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (*.f64 x x)) (+.f64 x y)))
(.f64 -6 (.f64 (/.f64 z (+.f64 x y)) (*.f64 x x)))
(.f64 (/.f64 (.f64 -6 z) (+.f64 x y)) (*.f64 x x))
(.f64 (/.f64 (.f64 x x) (+.f64 x y)) (*.f64 -6 z))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) (+.f64 y x)))
(.f64 -6 (/.f64 (.f64 z (*.f64 x x)) (+.f64 x y)))
(.f64 -6 (.f64 (/.f64 z (+.f64 x y)) (*.f64 x x)))
(.f64 (/.f64 (.f64 -6 z) (+.f64 x y)) (*.f64 x x))
(.f64 (/.f64 (.f64 x x) (+.f64 x y)) (*.f64 -6 z))
(.f64 -6 (.f64 z x))
(.f64 x (.f64 -6 z))
(+.f64 (.f64 -6 (.f64 z x)) (.f64 6 (.f64 y z)))
(fma.f64 -6 (.f64 z x) (.f64 6 (*.f64 z y)))
(fma.f64 -6 (.f64 z x) (.f64 z (*.f64 y 6)))
(.f64 z (+.f64 (.f64 -6 x) (*.f64 y 6)))
(.f64 z (+.f64 (.f64 y 6) (*.f64 -6 x)))
(+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) (.f64 -6 (/.f64 (.f64 (pow.f64 y 2) z) x))))
(fma.f64 -6 (.f64 z x) (fma.f64 6 (.f64 z y) (.f64 -6 (/.f64 (.f64 z (*.f64 y y)) x))))
(fma.f64 -6 (.f64 z x) (fma.f64 -6 (.f64 (/.f64 (.f64 y y) x) z) (.f64 z (*.f64 y 6))))
(fma.f64 z (.f64 y 6) (.f64 -6 (+.f64 (.f64 z (/.f64 (.f64 y y) x)) (*.f64 z x))))
(fma.f64 z (.f64 y 6) (.f64 -6 (.f64 z (+.f64 x (/.f64 (.f64 y y) x)))))
(.f64 z (+.f64 (.f64 y 6) (.f64 -6 (+.f64 x (/.f64 (.f64 y y) x)))))
(+.f64 (.f64 6 (/.f64 (.f64 (pow.f64 y 3) z) (pow.f64 x 2))) (+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) (.f64 -6 (/.f64 (.f64 (pow.f64 y 2) z) x)))))
(fma.f64 6 (/.f64 (pow.f64 y 3) (/.f64 (.f64 x x) z)) (fma.f64 -6 (.f64 z x) (fma.f64 6 (.f64 z y) (.f64 -6 (/.f64 (.f64 z (.f64 y y)) x)))))
(fma.f64 6 (.f64 (/.f64 z x) (/.f64 (pow.f64 y 3) x)) (fma.f64 -6 (.f64 z x) (fma.f64 -6 (.f64 (/.f64 (.f64 y y) x) z) (.f64 z (.f64 y 6)))))
(fma.f64 6 (.f64 z (/.f64 (pow.f64 y 3) (.f64 x x))) (fma.f64 z (.f64 y 6) (.f64 -6 (+.f64 (.f64 z (/.f64 (.f64 y y) x)) (*.f64 z x)))))
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(.f64 z (+.f64 (.f64 -6 (+.f64 x (/.f64 (.f64 y y) x))) (.f64 6 (+.f64 y (/.f64 (pow.f64 y 3) (*.f64 x x))))))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y))
(.f64 -6 (/.f64 z (/.f64 y (.f64 x x))))
(.f64 -6 (.f64 (/.f64 z y) (*.f64 x x)))
(.f64 (/.f64 z y) (.f64 -6 (*.f64 x x)))
(.f64 -6 (.f64 (/.f64 x (/.f64 y z)) x))
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(fma.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (.f64 y y)) (.f64 -6 (/.f64 z (/.f64 y (.f64 x x)))))
(fma.f64 -6 (.f64 (/.f64 z y) (.f64 x x)) (.f64 6 (.f64 (/.f64 z (*.f64 y y)) (pow.f64 x 3))))
(fma.f64 -6 (.f64 (.f64 x x) (/.f64 z y)) (.f64 (/.f64 (pow.f64 x 3) y) (.f64 (/.f64 z y) 6)))
(.f64 (.f64 (/.f64 x (/.f64 y z)) x) (+.f64 -6 (*.f64 (/.f64 6 y) x)))
(+.f64 (.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y))))
(fma.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3)) (fma.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (.f64 y y)) (.f64 -6 (/.f64 z (/.f64 y (*.f64 x x))))))
(fma.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3)) (fma.f64 -6 (.f64 (/.f64 z y) (.f64 x x)) (.f64 6 (.f64 (/.f64 z (.f64 y y)) (pow.f64 x 3)))))
(fma.f64 6 (.f64 (pow.f64 x 3) (/.f64 z (.f64 y y))) (.f64 -6 (+.f64 (.f64 (.f64 x x) (/.f64 z y)) (.f64 (pow.f64 x 4) (/.f64 z (pow.f64 y 3))))))
(fma.f64 -6 (.f64 z (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 (.f64 (/.f64 x (/.f64 y z)) x) (+.f64 -6 (.f64 (/.f64 6 y) x))))
(.f64 (.f64 (/.f64 x (/.f64 y z)) x) (+.f64 -6 (.f64 x (+.f64 (/.f64 -6 (/.f64 (.f64 y y) x)) (/.f64 6 y)))))
(+.f64 (.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 5)) (pow.f64 y 4))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y)))))
(fma.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3)) (fma.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (.f64 y y)) (fma.f64 6 (/.f64 (.f64 z (pow.f64 x 5)) (pow.f64 y 4)) (.f64 -6 (/.f64 z (/.f64 y (.f64 x x)))))))
(fma.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3)) (fma.f64 6 (.f64 (/.f64 z (.f64 y y)) (pow.f64 x 3)) (fma.f64 -6 (.f64 (/.f64 z y) (.f64 x x)) (/.f64 (.f64 z 6) (/.f64 (pow.f64 y 4) (pow.f64 x 5))))))
(fma.f64 6 (.f64 (/.f64 z (.f64 y y)) (+.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 5) (.f64 y y)))) (.f64 -6 (+.f64 (.f64 (.f64 x x) (/.f64 z y)) (*.f64 (pow.f64 x 4) (/.f64 z (pow.f64 y 3))))))
(fma.f64 6 (.f64 (/.f64 z (.f64 y y)) (+.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 5) (.f64 y y)))) (.f64 (/.f64 (.f64 -6 z) y) (+.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (*.f64 y y)))))
(+.f64 (.f64 (.f64 (/.f64 x (/.f64 y z)) x) (+.f64 -6 (.f64 (/.f64 6 y) x))) (.f64 (/.f64 z (pow.f64 y 3)) (+.f64 (.f64 -6 (pow.f64 x 4)) (/.f64 (.f64 6 (pow.f64 x 5)) y))))
(.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y))
(.f64 -6 (/.f64 z (/.f64 y (.f64 x x))))
(.f64 -6 (.f64 (/.f64 z y) (*.f64 x x)))
(.f64 (/.f64 z y) (.f64 -6 (*.f64 x x)))
(.f64 -6 (.f64 (/.f64 x (/.f64 y z)) x))
(+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y)))
(fma.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (.f64 y y)) (.f64 -6 (/.f64 z (/.f64 y (.f64 x x)))))
(fma.f64 -6 (.f64 (/.f64 z y) (.f64 x x)) (.f64 6 (.f64 (/.f64 z (*.f64 y y)) (pow.f64 x 3))))
(fma.f64 -6 (.f64 (.f64 x x) (/.f64 z y)) (.f64 (/.f64 (pow.f64 x 3) y) (.f64 (/.f64 z y) 6)))
(.f64 (.f64 (/.f64 x (/.f64 y z)) x) (+.f64 -6 (*.f64 (/.f64 6 y) x)))
(+.f64 (.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y))))
(fma.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3)) (fma.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (.f64 y y)) (.f64 -6 (/.f64 z (/.f64 y (*.f64 x x))))))
(fma.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3)) (fma.f64 -6 (.f64 (/.f64 z y) (.f64 x x)) (.f64 6 (.f64 (/.f64 z (.f64 y y)) (pow.f64 x 3)))))
(fma.f64 6 (.f64 (pow.f64 x 3) (/.f64 z (.f64 y y))) (.f64 -6 (+.f64 (.f64 (.f64 x x) (/.f64 z y)) (.f64 (pow.f64 x 4) (/.f64 z (pow.f64 y 3))))))
(fma.f64 -6 (.f64 z (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (.f64 (.f64 (/.f64 x (/.f64 y z)) x) (+.f64 -6 (.f64 (/.f64 6 y) x))))
(.f64 (.f64 (/.f64 x (/.f64 y z)) x) (+.f64 -6 (.f64 x (+.f64 (/.f64 -6 (/.f64 (.f64 y y) x)) (/.f64 6 y)))))
(+.f64 (.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (pow.f64 y 2))) (+.f64 (.f64 6 (/.f64 (.f64 z (pow.f64 x 5)) (pow.f64 y 4))) (.f64 -6 (/.f64 (.f64 z (pow.f64 x 2)) y)))))
(fma.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3)) (fma.f64 6 (/.f64 (.f64 z (pow.f64 x 3)) (.f64 y y)) (fma.f64 6 (/.f64 (.f64 z (pow.f64 x 5)) (pow.f64 y 4)) (.f64 -6 (/.f64 z (/.f64 y (.f64 x x)))))))
(fma.f64 -6 (/.f64 (.f64 z (pow.f64 x 4)) (pow.f64 y 3)) (fma.f64 6 (.f64 (/.f64 z (.f64 y y)) (pow.f64 x 3)) (fma.f64 -6 (.f64 (/.f64 z y) (.f64 x x)) (/.f64 (.f64 z 6) (/.f64 (pow.f64 y 4) (pow.f64 x 5))))))
(fma.f64 6 (.f64 (/.f64 z (.f64 y y)) (+.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 5) (.f64 y y)))) (.f64 -6 (+.f64 (.f64 (.f64 x x) (/.f64 z y)) (*.f64 (pow.f64 x 4) (/.f64 z (pow.f64 y 3))))))
(fma.f64 6 (.f64 (/.f64 z (.f64 y y)) (+.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 5) (.f64 y y)))) (.f64 (/.f64 (.f64 -6 z) y) (+.f64 (.f64 x x) (/.f64 (pow.f64 x 4) (*.f64 y y)))))
(+.f64 (.f64 (.f64 (/.f64 x (/.f64 y z)) x) (+.f64 -6 (.f64 (/.f64 6 y) x))) (.f64 (/.f64 z (pow.f64 y 3)) (+.f64 (.f64 -6 (pow.f64 x 4)) (/.f64 (.f64 6 (pow.f64 x 5)) y))))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))
(.f64 -6 (.f64 z (pow.f64 x 2)))
(.f64 -6 (.f64 z (*.f64 x x)))
(.f64 x (.f64 x (*.f64 -6 z)))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 y x))
✓	0.3b	(/.f64 (/.f64 1 (-.f64 y x)) (*.f64 6 z))
✓	0.6b	(pow.f64 (/.f64 (/.f64 1 (-.f64 y x)) (*.f64 6 z)) -1)

Compiler

Compiled 40 to 23 computations (42.5% saved)

series25.0ms (0.3%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(pow.f64 (/.f64 (/.f64 1 (-.f64 y x)) (*.f64 6 z)) -1)
2.0ms	y	@	inf	(pow.f64 (/.f64 (/.f64 1 (-.f64 y x)) (*.f64 6 z)) -1)
1.0ms	y	@	0	(pow.f64 (/.f64 (/.f64 1 (-.f64 y x)) (*.f64 6 z)) -1)
1.0ms	y	@	0	(/.f64 (/.f64 1 (-.f64 y x)) (*.f64 6 z))
1.0ms	z	@	inf	(pow.f64 (/.f64 (/.f64 1 (-.f64 y x)) (*.f64 6 z)) -1)

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`log-prod_binary64`
383×	`prod-diff_binary64`
324×	`pow2_binary64`
223×	`pow1/3_binary64`
219×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	260	27
2	3461	27

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

Outputs

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

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

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

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

914×	`fma-def_binary64`
511×	`times-frac_binary64`
416×	`associate-l_binary64`
400×	`associate-r_binary64`
374×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	1737
1	623	1704
2	2591	1584

Stop Event

1×	node limit

Counts

240 → 193

Calls

Call 1

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

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

eval108.0ms (1.2%)

Compiler: Compiled 5614 to 3440 computations (38.7% saved)

prune58.0ms (0.6%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	349	3	352
Fresh	1	3	4
Picked	1	0	1
Done	4	9	13
Total	355	15	370

Error

Counts

370 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	33.3b	x
	29.8b	(/.f64 (-.f64 y x) (/.f64 1/6 z))
✓	52.9b	(.f64 x (.f64 z -6))
	29.8b	(.f64 (-.f64 y x) (.f64 6 z))
✓	53.0b	(.f64 z (.f64 -6 x))
✓	10.2b	(+.f64 x (.f64 6 (.f64 y z)))
✓	53.0b	(.f64 -6 (.f64 z x))
✓	23.7b	(.f64 (+.f64 (.f64 -6 z) 1) x)
	39.2b	(.f64 y (.f64 6 z))
	29.9b	(.f64 6 (+.f64 (.f64 z y) (*.f64 z (neg.f64 x))))
✓	23.7b	(+.f64 (.f64 -6 (.f64 z x)) x)
✓	39.2b	(.f64 6 (.f64 y z))
✓	10.2b	(+.f64 x (.f64 (.f64 6 y) z))
✓	39.2b	(.f64 z (.f64 6 y))
	29.8b	(/.f64 6 (/.f64 (/.f64 1 (-.f64 y x)) z))

Compiler

Compiled 137 to 100 computations (27% saved)

regimes87.0ms (1%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

4 calls:

22.0ms	z
20.0ms	x
19.0ms	y
18.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))

Results

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

Compiler

Compiled 293 to 155 computations (47.1% saved)

regimes69.0ms (0.8%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	x
15.0ms	z
15.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
14.0ms	y

Results

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

Compiler

Compiled 194 to 109 computations (43.8% saved)

regimes73.0ms (0.8%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	z
23.0ms	y
12.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`

Compiler

Compiled 141 to 81 computations (42.6% saved)

regimes92.0ms (1%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	y
31.0ms	z
21.0ms	x

Results

Error	Segments	Branch
8.0b	2	`x`
4.4b	3	`y`
1.3b	3	`z`

Compiler

Compiled 132 to 77 computations (41.7% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	3.1713488635460527e-16	1.1690437629557916e-11
18.0ms	-34.09398674516787	-0.006713650935853108

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes87.0ms (1%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	z
30.0ms	y
20.0ms	x

Results

Error	Segments	Branch
8.0b	2	`x`
4.4b	3	`y`
1.3b	3	`z`

Compiler

Compiled 123 to 72 computations (41.5% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	3.1713488635460527e-16	1.1690437629557916e-11
19.0ms	-34.09398674516787	-0.006713650935853108

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes80.0ms (0.9%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	z
28.0ms	y
19.0ms	x

Results

Error	Segments	Branch
8.0b	2	`x`
4.4b	3	`y`
1.3b	3	`z`

Compiler

Compiled 116 to 69 computations (40.5% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	3.1713488635460527e-16	1.1690437629557916e-11
19.0ms	-0.006713650935853108	-0.003713858480237905

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes111.0ms (1.2%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	x
34.0ms	y
26.0ms	z

Results

Error	Segments	Branch
13.6b	5	`x`
12.7b	3	`y`
13.4b	3	`z`

Compiler

Compiled 102 to 61 computations (40.2% saved)

bsearch143.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	8.129433021767384e-70	1.008566921859365e-69
124.0ms	-1.9982044482918197e+63	-2.1864095930882552e+50

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes252.0ms (2.8%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

102.0ms	y
39.0ms	x
24.0ms	z

Results

Error	Segments	Branch
13.6b	5	`x`
12.7b	3	`y`
13.4b	3	`z`

Compiler

Compiled 88 to 53 computations (39.8% saved)

bsearch74.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	8.129433021767384e-70	1.008566921859365e-69
19.0ms	-1.9982044482918197e+63	-2.1864095930882552e+50

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes146.0ms (1.6%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

73.0ms	x
48.0ms	y
21.0ms	z

Results

Error	Segments	Branch
19.5b	5	`x`
21.1b	3	`y`
13.8b	3	`z`

Compiler

Compiled 67 to 40 computations (40.3% saved)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	3.1713488635460527e-16	1.1690437629557916e-11
18.0ms	-7.444965926460898e-8	-2.7384355505400685e-11

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes196.0ms (2.2%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

88.0ms	x
55.0ms	y
19.0ms	z

Results

Error	Segments	Branch
19.5b	5	`x`
21.1b	3	`y`
13.8b	3	`z`

Compiler

Compiled 60 to 37 computations (38.3% saved)

bsearch73.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	3.1713488635460527e-16	1.1690437629557916e-11
36.0ms	-7.444965926460898e-8	-2.7384355505400685e-11

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes229.0ms (2.6%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

105.0ms	x
69.0ms	z
51.0ms	y

Results

Error	Segments	Branch
23.3b	5	`x`
22.5b	3	`y`
21.5b	3	`z`

Compiler

Compiled 53 to 33 computations (37.7% saved)

bsearch102.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	2.7413903904586815e-56	3.2814599690970545e-53
67.0ms	-34.09398674516787	-0.006713650935853108

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes125.0ms (1.4%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	x
43.0ms	y
32.0ms	z

Results

Error	Segments	Branch
23.3b	5	`x`
22.5b	3	`y`
21.5b	3	`z`

Compiler

Compiled 38 to 24 computations (36.8% saved)

bsearch69.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	2.7413903904586815e-56	3.2814599690970545e-53
33.0ms	-34.09398674516787	-0.006713650935853108

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes44.0ms (0.5%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

23.0ms	z
9.0ms	x
8.0ms	y

Results

Error	Segments	Branch
33.3b	1	`x`
33.3b	1	`y`
24.8b	3	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch59.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	3.1713488635460527e-16	1.1690437629557916e-11
32.0ms	-34.09398674516787	-0.006713650935853108

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes15.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

3 calls:

6.0ms	x
4.0ms	z
4.0ms	y

Results

Error	Segments	Branch
33.3b	1	`x`
33.3b	1	`y`
33.3b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
9×	`+-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	72	403
1	99	403
2	103	403
3	105	403
4	106	403

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) z))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
(if (<=.f64 z -2399151031267385/70368744177664) (/.f64 6 (/.f64 (/.f64 1 (-.f64 y x)) z)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) (+.f64 x (.f64 6 (.f64 y z))) (.f64 (-.f64 y x) (.f64 6 z))))
(if (<=.f64 z -2399151031267385/70368744177664) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) (+.f64 x (.f64 6 (.f64 y z))) (.f64 (-.f64 y x) (.f64 6 z))))
(if (<=.f64 z -1935078134592233/288230376151711744) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) (+.f64 x (.f64 (.f64 6 y) z)) (.f64 (-.f64 y x) (.f64 6 z))))
(if (<=.f64 y -1998204448291819650491734267547296394368260071029785744105275392) (.f64 6 (.f64 z (-.f64 y x))) (if (<=.f64 y 3158559328564021/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (.f64 (+.f64 (.f64 -6 z) 1) x) (/.f64 (-.f64 y x) (/.f64 1/6 z))))
(if (<=.f64 y -1998204448291819650491734267547296394368260071029785744105275392) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 y 3158559328564021/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (.f64 (+.f64 (.f64 -6 z) 1) x) (/.f64 (-.f64 y x) (/.f64 1/6 z))))
(if (<=.f64 z -351578575572255/4722366482869645213696) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) x (.f64 (-.f64 y x) (.f64 6 z))))
(if (<=.f64 z -351578575572255/4722366482869645213696) (/.f64 (-.f64 y x) (/.f64 1/6 z)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) x (/.f64 (-.f64 y x) (/.f64 1/6 z))))
(if (<=.f64 z -2399151031267385/70368744177664) (.f64 x (.f64 z -6)) (if (<=.f64 z 1513630488997997/55213970774324510299478046898216203619608871777363092441300193790394368) x (.f64 z (.f64 6 y))))
(if (<=.f64 z -2399151031267385/70368744177664) (.f64 x (.f64 z -6)) (if (<=.f64 z 1513630488997997/55213970774324510299478046898216203619608871777363092441300193790394368) x (.f64 y (.f64 6 z))))
(if (<=.f64 z -2399151031267385/70368744177664) (.f64 x (.f64 z -6)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) x (.f64 x (.f64 z -6))))
x

Outputs
(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 -6 x)) z))
(+.f64 x (.f64 (+.f64 (.f64 6 y) (*.f64 x -6)) z))
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
(+.f64 x (.f64 z (.f64 6 (-.f64 y x))))
(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
(if (<=.f64 z -2399151031267385/70368744177664) (/.f64 6 (/.f64 (/.f64 1 (-.f64 y x)) z)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) (+.f64 x (.f64 6 (.f64 y z))) (.f64 (-.f64 y x) (.f64 6 z))))
(if (<=.f64 z -2399151031267385/70368744177664) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) (+.f64 x (.f64 6 (.f64 y z))) (.f64 (-.f64 y x) (.f64 6 z))))
(if (<=.f64 z -1935078134592233/288230376151711744) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) (+.f64 x (.f64 (.f64 6 y) z)) (.f64 (-.f64 y x) (.f64 6 z))))
(if (<=.f64 y -1998204448291819650491734267547296394368260071029785744105275392) (.f64 6 (.f64 z (-.f64 y x))) (if (<=.f64 y 3158559328564021/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (.f64 (+.f64 (.f64 -6 z) 1) x) (/.f64 (-.f64 y x) (/.f64 1/6 z))))
(if (<=.f64 y -1998204448291819650491734267547296394368260071029785744105275392) (.f64 6 (.f64 z (-.f64 y x))) (if (<=.f64 y 3158559328564021/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (.f64 x (+.f64 1 (.f64 -6 z))) (/.f64 (-.f64 y x) (/.f64 1/6 z))))
(if (<=.f64 y -1998204448291819650491734267547296394368260071029785744105275392) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 y 3158559328564021/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (.f64 (+.f64 (.f64 -6 z) 1) x) (/.f64 (-.f64 y x) (/.f64 1/6 z))))
(if (<=.f64 y -1998204448291819650491734267547296394368260071029785744105275392) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 y 3158559328564021/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (.f64 x (+.f64 1 (.f64 -6 z))) (/.f64 (-.f64 y x) (/.f64 1/6 z))))
(if (<=.f64 z -351578575572255/4722366482869645213696) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) x (.f64 (-.f64 y x) (.f64 6 z))))
(if (<=.f64 z -351578575572255/4722366482869645213696) (/.f64 (-.f64 y x) (/.f64 1/6 z)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) x (/.f64 (-.f64 y x) (/.f64 1/6 z))))
(if (<=.f64 z -2399151031267385/70368744177664) (.f64 x (.f64 z -6)) (if (<=.f64 z 1513630488997997/55213970774324510299478046898216203619608871777363092441300193790394368) x (.f64 z (.f64 6 y))))
(if (<=.f64 z -2399151031267385/70368744177664) (.f64 x (.f64 -6 z)) (if (<=.f64 z 1513630488997997/55213970774324510299478046898216203619608871777363092441300193790394368) x (.f64 (.f64 6 y) z)))
(if (<=.f64 z -2399151031267385/70368744177664) (.f64 x (.f64 z -6)) (if (<=.f64 z 1513630488997997/55213970774324510299478046898216203619608871777363092441300193790394368) x (.f64 y (.f64 6 z))))
(if (<=.f64 z -2399151031267385/70368744177664) (.f64 x (.f64 -6 z)) (if (<=.f64 z 1513630488997997/55213970774324510299478046898216203619608871777363092441300193790394368) x (.f64 y (.f64 6 z))))
(if (<=.f64 z -2399151031267385/70368744177664) (.f64 x (.f64 z -6)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) x (.f64 x (.f64 z -6))))
(if (<=.f64 z -2399151031267385/70368744177664) (.f64 x (.f64 -6 z)) (if (<=.f64 z 6432259664651627/20282409603651670423947251286016) x (.f64 x (.f64 -6 z))))
x

Compiler

Compiled 322 to 210 computations (34.8% saved)

soundness0.0ms (0%)

end276.0ms (3.1%)

Compiler: Compiled 283 to 162 computations (42.8% saved)