Details

analyze205.0ms (2.3%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.5s (17.3%)

Results

1.4s	8256×	body	256	valid
130.0ms	1241×	body	256	invalid

preprocess195.0ms (2.2%)

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

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

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

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)
✓	0.3b	(.f64 (.f64 (-.f64 y x) 6) z)

Compiler

Compiled 31 to 14 computations (54.8% saved)

series13.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite82.0ms (0.9%)

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)))))

simplify105.0ms (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)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 y x) 6)
✓	0.2b	(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	x	@	0	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
1.0ms	y	@	0	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
1.0ms	x	@	-inf	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
0.0ms	z	@	inf	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
0.0ms	z	@	-inf	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

rewrite63.0ms (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)))))))

simplify91.0ms (1%)

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)

eval104.0ms (1.2%)

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

prune85.0ms (1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	208	13	221
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	209	14	223

Error

Counts

223 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.2b	(.f64 6 (.f64 y z))
	29.4b	(+.f64 x (.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 y x) 6)) 2) z))
	30.7b	(+.f64 x (pow.f64 (sqrt.f64 (.f64 (-.f64 y x) (.f64 6 z))) 2))
	21.9b	(.f64 (+.f64 1 (.f64 -6 z)) x)
✓	0.2b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
	21.9b	(*.f64 x (fma.f64 -6 z 1))
	27.1b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 z)) (+.f64 y x)))
▶	0.2b	(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
▶	14.7b	(+.f64 x (.f64 (.f64 6 y) z))
▶	27.0b	(.f64 6 (.f64 z (-.f64 y x)))
	21.9b	(+.f64 x (.f64 (.f64 -6 x) z))
	35.7b	x
▶	14.6b	(+.f64 x (.f64 6 (.f64 y z)))
	41.2b	(.f64 z (.f64 6 y))

Compiler

Compiled 290 to 205 computations (29.3% saved)

localize23.0ms (0.3%)

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)

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite112.0ms (1.3%)

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)))))

simplify136.0ms (1.5%)

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)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

series5.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite48.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 6 (.f64 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))
✓	0.2b	(.f64 6 (.f64 z (-.f64 y x)))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

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

rewrite65.0ms (0.7%)

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))))))))

simplify78.0ms (0.9%)

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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite63.0ms (0.7%)

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)))))

simplify13.0ms (0.1%)

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)

localize9.0ms (0.1%)

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)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite65.0ms (0.7%)

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)))))))

simplify17.0ms (0.2%)

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)

eval102.0ms (1.1%)

Compiler: Compiled 3658 to 1956 computations (46.5% saved)

prune81.0ms (0.9%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	275	5	280
Fresh	3	5	8
Picked	0	1	1
Done	0	5	5
Total	278	16	294

Error

Counts

294 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.2b	(.f64 6 (.f64 y z))
	29.4b	(+.f64 x (.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 y x) 6)) 2) z))
	48.5b	(.f64 z (.f64 -6 x))
	43.2b	(/.f64 (.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
▶	48.5b	(.f64 -6 (.f64 z x))
▶	21.9b	(*.f64 x (fma.f64 -6 z 1))
✓	0.2b	(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
▶	21.9b	(+.f64 (.f64 -6 (.f64 z x)) x)
	21.9b	(.f64 (+.f64 1 (.f64 -6 z)) x)
✓	0.2b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
✓	14.7b	(+.f64 x (.f64 (.f64 6 y) z))
✓	27.0b	(.f64 6 (.f64 z (-.f64 y x)))
	35.7b	x
✓	14.6b	(+.f64 x (.f64 6 (.f64 y z)))
▶	45.3b	(pow.f64 (sqrt.f64 (.f64 6 (.f64 z (-.f64 y x)))) 2)
▶	41.2b	(.f64 z (.f64 6 y))

Compiler

Compiled 264 to 190 computations (28% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`pow1_binary64`
533×	`add-log-exp_binary64`
533×	`log1p-expm1-u_binary64`
533×	`expm1-log1p-u_binary64`
523×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	133	13
2	1432	13

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify18.0ms (0.2%)

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: 1 (0.0ms)

Iter	Nodes	Cost
0	11	297
1	21	237
2	39	237
3	60	237
4	83	237
5	87	237
6	89	237

Stop Event

1×

saturated

Counts

70 → 42

Calls

Call 1

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

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

localize5.0ms (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)

series4.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite48.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 -6 (.f64 z 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	@	0	(.f64 z (.f64 6 y))
0.0ms	y	@	inf	(.f64 z (.f64 6 y))

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 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))

localize7.0ms (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	x	@	inf	(+.f64 (.f64 -6 (.f64 z x)) x)
0.0ms	z	@	0	(+.f64 (.f64 -6 (.f64 z x)) x)
0.0ms	z	@	-inf	(+.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)

rewrite60.0ms (0.7%)

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)))))

simplify32.0ms (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)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 z (-.f64 y x))
	0.2b	(.f64 6 (.f64 z (-.f64 y x)))
✓	0.3b	(pow.f64 (sqrt.f64 (.f64 6 (.f64 z (-.f64 y x)))) 2)
✓	4.3b	(sqrt.f64 (.f64 6 (.f64 z (-.f64 y x))))

Compiler

Compiled 41 to 17 computations (58.5% saved)

series31.0ms (0.4%)

Counts

2 → 16

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(sqrt.f64 (.f64 6 (.f64 z (-.f64 y x))))
3.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (.f64 6 (.f64 z (-.f64 y x)))) 2)
3.0ms	y	@	inf	(sqrt.f64 (.f64 6 (.f64 z (-.f64 y x))))
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (.f64 6 (.f64 z (-.f64 y x)))) 2)
2.0ms	y	@	0	(pow.f64 (sqrt.f64 (.f64 6 (.f64 z (-.f64 y x)))) 2)

rewrite82.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`log-prod_binary64`
369×	`exp-prod_binary64`
359×	`prod-diff_binary64`
334×	`pow-prod-down_binary64`
268×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	238	22
2	2715	22

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs
(sqrt.f64 (.f64 6 (.f64 z (-.f64 y x))))
(pow.f64 (sqrt.f64 (.f64 6 (.f64 z (-.f64 y x)))) 2)

Outputs

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

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

703×	`fma-def_binary64`
593×	`associate-r_binary64`
579×	`associate-l_binary64`
416×	`times-frac_binary64`
328×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	611
1	345	485
2	1339	445
3	7383	445

Stop Event

1×	node limit

Counts

102 → 113

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 6)) (sqrt.f64 (*.f64 z x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 y (sqrt.f64 6)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 z x)))) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 6)) (sqrt.f64 (.f64 z x))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 y (sqrt.f64 6)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 z x)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 y 2) (sqrt.f64 6)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 z (pow.f64 x 3))))) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 6)) (sqrt.f64 (*.f64 z x)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 y (sqrt.f64 6)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 z x)))) (+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (pow.f64 y 3) (sqrt.f64 6)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 z (pow.f64 x 5))))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 y 2) (sqrt.f64 6)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 z (pow.f64 x 3))))) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 6)) (sqrt.f64 (.f64 z x))))))
(.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 6))
(+.f64 (.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 6)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (sqrt.f64 6) x))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (.f64 (sqrt.f64 6) (pow.f64 x 2)))) (+.f64 (.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 6)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 z y)) (.f64 (sqrt.f64 6) x)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (.f64 (sqrt.f64 6) (pow.f64 x 2)))) (+.f64 (.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 6)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 z y)) (.f64 (sqrt.f64 6) x))) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 5))) (*.f64 (sqrt.f64 6) (pow.f64 x 3)))))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x)))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) (.f64 (pow.f64 (sqrt.f64 -1) 2) x))))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z))))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) (.f64 (pow.f64 (sqrt.f64 -1) 2) x))))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))))
(.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) y)) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) y))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) (pow.f64 y 2))) (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) (pow.f64 y 2)))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) y)) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) y))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))))

Outputs
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 6)) (sqrt.f64 (*.f64 z x)))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 (*.f64 z x))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 y (sqrt.f64 6)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 z x)))) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 6)) (sqrt.f64 (.f64 z x))))
(fma.f64 1/2 (.f64 (/.f64 y (/.f64 (sqrt.f64 -1) (sqrt.f64 6))) (sqrt.f64 (/.f64 z x))) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 (.f64 z x)))))
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 (.f64 z x))) (.f64 (sqrt.f64 (/.f64 z x)) (.f64 1/2 (*.f64 (/.f64 y (sqrt.f64 -1)) (sqrt.f64 6)))))
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 (.f64 z x))) (.f64 (.f64 (sqrt.f64 6) (/.f64 y (sqrt.f64 -1))) (*.f64 1/2 (sqrt.f64 (/.f64 z x)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 y (sqrt.f64 6)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 z x)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 y 2) (sqrt.f64 6)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 z (pow.f64 x 3))))) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 6)) (sqrt.f64 (*.f64 z x)))))
(fma.f64 1/2 (.f64 (/.f64 y (/.f64 (sqrt.f64 -1) (sqrt.f64 6))) (sqrt.f64 (/.f64 z x))) (fma.f64 -1/8 (.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 6))) (sqrt.f64 (/.f64 z (pow.f64 x 3)))) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 (.f64 z x))))))
(fma.f64 1/2 (.f64 (.f64 (/.f64 y (sqrt.f64 -1)) (sqrt.f64 6)) (sqrt.f64 (/.f64 z x))) (fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 (.f64 z x))) (.f64 (sqrt.f64 (/.f64 z (pow.f64 x 3))) (.f64 -1/8 (/.f64 (*.f64 y y) (/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 6) -1)))))))
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 (.f64 z x))) (fma.f64 1/2 (.f64 (.f64 (sqrt.f64 6) (/.f64 y (sqrt.f64 -1))) (sqrt.f64 (/.f64 z x))) (.f64 (sqrt.f64 (/.f64 z (pow.f64 x 3))) (.f64 1/8 (/.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 -1) (*.f64 y y)))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 y (sqrt.f64 6)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 z x)))) (+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (pow.f64 y 3) (sqrt.f64 6)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 z (pow.f64 x 5))))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 y 2) (sqrt.f64 6)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 z (pow.f64 x 3))))) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 6)) (sqrt.f64 (.f64 z x))))))
(fma.f64 1/2 (.f64 (/.f64 y (/.f64 (sqrt.f64 -1) (sqrt.f64 6))) (sqrt.f64 (/.f64 z x))) (fma.f64 1/16 (.f64 (/.f64 (.f64 (sqrt.f64 6) (pow.f64 y 3)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 z (pow.f64 x 5)))) (fma.f64 -1/8 (.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 6))) (sqrt.f64 (/.f64 z (pow.f64 x 3)))) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 (.f64 z x)))))))
(fma.f64 1/2 (.f64 (.f64 (/.f64 y (sqrt.f64 -1)) (sqrt.f64 6)) (sqrt.f64 (/.f64 z x))) (fma.f64 1/16 (.f64 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 6)) (sqrt.f64 (/.f64 z (pow.f64 x 5)))) (fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 (.f64 z x))) (.f64 (sqrt.f64 (/.f64 z (pow.f64 x 3))) (.f64 -1/8 (/.f64 (*.f64 y y) (/.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 6) -1))))))))
(fma.f64 1/2 (.f64 (.f64 (sqrt.f64 6) (/.f64 y (sqrt.f64 -1))) (sqrt.f64 (/.f64 z x))) (fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 (.f64 z x))) (fma.f64 (sqrt.f64 (/.f64 z (pow.f64 x 3))) (.f64 1/8 (/.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 -1) (.f64 y y)))) (.f64 (sqrt.f64 (/.f64 z (pow.f64 x 5))) (.f64 1/16 (*.f64 (sqrt.f64 6) (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 5))))))))
(.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 6))
(.f64 (sqrt.f64 6) (sqrt.f64 (.f64 z y)))
(+.f64 (.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 6)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (sqrt.f64 6) x))))
(fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 6) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 z y)) (.f64 (sqrt.f64 6) x))))
(fma.f64 (sqrt.f64 6) (sqrt.f64 (.f64 z y)) (.f64 -1/2 (.f64 x (.f64 (sqrt.f64 6) (sqrt.f64 (/.f64 z y))))))
(.f64 (sqrt.f64 6) (+.f64 (sqrt.f64 (.f64 z y)) (.f64 x (.f64 -1/2 (sqrt.f64 (/.f64 z y))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (.f64 (sqrt.f64 6) (pow.f64 x 2)))) (+.f64 (.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 6)) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 z y)) (.f64 (sqrt.f64 6) x)))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (.f64 (sqrt.f64 6) (.f64 x x))) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 6) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 z y)) (*.f64 (sqrt.f64 6) x)))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (.f64 (sqrt.f64 6) (.f64 x x))) (fma.f64 (sqrt.f64 6) (sqrt.f64 (.f64 z y)) (.f64 -1/2 (.f64 x (*.f64 (sqrt.f64 6) (sqrt.f64 (/.f64 z y)))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 6) (.f64 x (sqrt.f64 (/.f64 z y)))) (.f64 (sqrt.f64 6) (+.f64 (sqrt.f64 (.f64 z y)) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (*.f64 x x))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (.f64 (sqrt.f64 6) (pow.f64 x 2)))) (+.f64 (.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 6)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 z y)) (.f64 (sqrt.f64 6) x))) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 5))) (*.f64 (sqrt.f64 6) (pow.f64 x 3)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (.f64 (sqrt.f64 6) (.f64 x x))) (fma.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 6) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 z y)) (.f64 (sqrt.f64 6) x)) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 5))) (*.f64 (sqrt.f64 6) (pow.f64 x 3)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (.f64 (sqrt.f64 6) (.f64 x x))) (fma.f64 (sqrt.f64 6) (sqrt.f64 (.f64 z y)) (fma.f64 -1/16 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 6) (sqrt.f64 (/.f64 z (pow.f64 y 5))))) (.f64 -1/2 (.f64 x (*.f64 (sqrt.f64 6) (sqrt.f64 (/.f64 z y))))))))
(+.f64 (.f64 (sqrt.f64 6) (+.f64 (sqrt.f64 (.f64 z y)) (.f64 x (.f64 -1/2 (sqrt.f64 (/.f64 z y)))))) (.f64 (sqrt.f64 6) (+.f64 (.f64 (pow.f64 x 3) (.f64 -1/16 (sqrt.f64 (/.f64 z (pow.f64 y 5))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 z (pow.f64 y 3))) (.f64 x x))))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (*.f64 z x) (pow.f64 (sqrt.f64 6) 2)))
(.f64 (.f64 z x) -6)
(.f64 z (.f64 x -6))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 z x) (pow.f64 (sqrt.f64 6) 2)) (.f64 (.f64 y (pow.f64 (sqrt.f64 6) 2)) z))
(fma.f64 y (.f64 z 6) (.f64 (*.f64 z x) -6))
(.f64 (.f64 z 6) (-.f64 y x))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) (.f64 (pow.f64 (sqrt.f64 -1) 2) x))))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z))))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 z x) (pow.f64 (sqrt.f64 6) 2)) (.f64 (.f64 y (pow.f64 (sqrt.f64 6) 2)) z))
(fma.f64 y (.f64 z 6) (.f64 (*.f64 z x) -6))
(.f64 (.f64 z 6) (-.f64 y x))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) (.f64 (pow.f64 (sqrt.f64 -1) 2) x))))) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 z x) (pow.f64 (sqrt.f64 6) 2)) (.f64 (.f64 y (pow.f64 (sqrt.f64 6) 2)) z))
(fma.f64 y (.f64 z 6) (.f64 (*.f64 z x) -6))
(.f64 (.f64 z 6) (-.f64 y x))
(.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z))
(.f64 (.f64 y (pow.f64 (sqrt.f64 6) 2)) z)
(.f64 z (.f64 y 6))
(.f64 (.f64 z y) 6)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 z x) (pow.f64 (sqrt.f64 6) 2)) (.f64 (.f64 y (pow.f64 (sqrt.f64 6) 2)) z))
(fma.f64 y (.f64 z 6) (.f64 (*.f64 z x) -6))
(.f64 (.f64 z 6) (-.f64 y x))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) y)) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) y))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z))))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 z x) (pow.f64 (sqrt.f64 6) 2)) (.f64 (.f64 y (pow.f64 (sqrt.f64 6) 2)) z))
(fma.f64 y (.f64 z 6) (.f64 (*.f64 z x) -6))
(.f64 (.f64 z 6) (-.f64 y x))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) (pow.f64 y 2))) (.f64 1/8 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) (pow.f64 y 2)))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) y)) (.f64 1/4 (/.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) z) y))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 z x) (pow.f64 (sqrt.f64 6) 2)) (.f64 (.f64 y (pow.f64 (sqrt.f64 6) 2)) z))
(fma.f64 y (.f64 z 6) (.f64 (*.f64 z x) -6))
(.f64 (.f64 z 6) (-.f64 y x))

eval134.0ms (1.5%)

Compiler: Compiled 3921 to 2522 computations (35.7% saved)

prune60.0ms (0.7%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	274	7	281
Fresh	3	2	5
Picked	1	0	1
Done	2	8	10
Total	280	17	297

Error

Counts

297 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.2b	(.f64 6 (.f64 y z))
▶	29.4b	(+.f64 x (.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 y x) 6)) 2) z))
✓	48.5b	(.f64 -6 (.f64 z x))
✓	21.9b	(*.f64 x (fma.f64 -6 z 1))
	56.2b	(pow.f64 (sqrt.f64 (.f64 z (.f64 -6 x))) 2)
✓	0.2b	(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
✓	21.9b	(+.f64 (.f64 -6 (.f64 z x)) x)
	27.1b	(.f64 (-.f64 y x) (.f64 6 z))
▶	48.5b	(.f64 x (.f64 -6 z))
✓	41.2b	(.f64 z (.f64 6 y))
▶	21.9b	(.f64 (+.f64 (.f64 -6 z) 1) x)
▶	27.1b	(.f64 (.f64 6 (-.f64 y x)) z)
✓	14.7b	(+.f64 x (.f64 (.f64 6 y) z))
	48.5b	(.f64 z (.f64 x -6))
▶	43.2b	(/.f64 (.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
	35.7b	x
✓	14.6b	(+.f64 x (.f64 6 (.f64 y z)))

Compiler

Compiled 259 to 187 computations (27.8% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(.f64 (+.f64 (.f64 -6 z) 1) x)
0.0ms	z	@	0	(.f64 (+.f64 (.f64 -6 z) 1) x)
0.0ms	x	@	inf	(.f64 (+.f64 (.f64 -6 z) 1) x)
0.0ms	x	@	-inf	(.f64 (+.f64 (.f64 -6 z) 1) x)
0.0ms	x	@	0	(.f64 (+.f64 (.f64 -6 z) 1) x)

rewrite68.0ms (0.8%)

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	13
1	164	13
2	1960	13

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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)))))))

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

simplify16.0ms (0.2%)

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: 1 (0.0ms)

Iter	Nodes	Cost
0	11	255
1	21	237
2	39	237
3	60	237
4	83	237
5	87	237
6	89	237

Stop Event

1×

saturated

Counts

89 → 62

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

35 → 12

Calls

Call 1

Inputs
(.f64 -6 (.f64 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))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
852×	`add-log-exp_binary64`
852×	`log1p-expm1-u_binary64`
852×	`expm1-log1p-u_binary64`
834×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	17
2	2265	17

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-def_binary64`
278×	`fma-neg_binary64`
120×	`distribute-rgt-in_binary64`
94×	`distribute-lft-in_binary64`
78×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	630
1	36	630
2	75	540
3	133	492
4	220	492
5	306	492
6	481	492
7	825	492
8	1459	492
9	1903	492
10	2110	492
11	2198	492
12	2198	492

Stop Event

1×

saturated

Counts

90 → 41

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))

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.6b	(-.f64 (.f64 y y) (.f64 x x))
✓	12.2b	(.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x)))
✓	16.1b	(/.f64 (.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))

Compiler

Compiled 52 to 17 computations (67.3% saved)

series15.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

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

rewrite109.0ms (1.2%)

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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simplify77.0ms (0.9%)

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)
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(pow.f64 y 2)
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(*.f64 -1 (pow.f64 x 2))
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(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 y 2))

Outputs
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(.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 z))
(.f64 6 (.f64 (-.f64 (.f64 y y) (.f64 x x)) z))
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(.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 z))
(.f64 6 (.f64 (-.f64 (.f64 y y) (.f64 x x)) z))
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(.f64 6 (.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z))
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(.f64 6 (.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z))
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(.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x)))
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(.f64 6 (.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z))
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(.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x)))
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(.f64 6 (.f64 (-.f64 (.f64 y y) (.f64 x x)) z))
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(.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 z))
(.f64 6 (.f64 (-.f64 (.f64 y y) (.f64 x x)) z))
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(.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 -6 (.f64 z (pow.f64 x 2)))
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(.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))
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(.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 (.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))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 y x) 6)
✓	0.1b	(sqrt.f64 (*.f64 (-.f64 y x) 6))
✓	0.1b	(.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 y x) 6)) 2) z)
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) 6)) 2)

Compiler

Compiled 52 to 29 computations (44.2% saved)

series25.0ms (0.3%)

Counts

3 → 52

Calls

21 calls:

Time	Variable		Point	Expression
9.0ms	y	@	inf	(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) 6)) 2)
2.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) 6)) 2)
2.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) 6)) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) 6)) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) 6)) 2)

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log-prod_binary64`
359×	`prod-diff_binary64`
355×	`exp-prod_binary64`
317×	`pow-prod-down_binary64`
265×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	237	26
2	2663	26

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (-.f64 y x) 6)) 2)
(.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 y x) 6)) 2) z)
(sqrt.f64 (*.f64 (-.f64 y x) 6))

Outputs

((#(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 y x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 y x) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 y x) 6)) (sqrt.f64 (*.f64 (-.f64 y x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 y x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 y x) 6)) (cbrt.f64 (*.f64 36 (pow.f64 (-.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 36 (pow.f64 (-.f64 y x) 2))) (cbrt.f64 (*.f64 (-.f64 y x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 y x) 6) 1/4) (pow.f64 (*.f64 (-.f64 y x) 6) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (*.f64 6 (*.f64 (-.f64 y x) 6)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 y x) 6) 3/4) (pow.f64 (*.f64 (-.f64 y x) 6) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6 (pow.f64 (cbrt.f64 (-.f64 y x)) 2)) (cbrt.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6 (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 y x) 6) 5/6) (pow.f64 (*.f64 (-.f64 y x) 6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (-.f64 y x) 6) (-.f64 y x)) 1/2) (sqrt.f64 6))))) (#(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 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 (log.f64 (*.f64 36 (pow.f64 (-.f64 y x) 2))) 1/2))))) (#(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 (*.f64 (log.f64 (*.f64 (-.f64 y x) 6)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 y x) 6)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 y x) 6))) 1) 2))))) (#(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 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 6) (*.f64 (-.f64 y x) z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (*.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (*.f64 (-.f64 y x) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (*.f64 (-.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 y x) (*.f64 6 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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 (pow.f64 (*.f64 (-.f64 y x) (*.f64 6 z)) 3) 1/3)))) (#(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 (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 (-.f64 y x) z)))))) (#(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 (*.f64 3 (log.f64 (*.f64 (-.f64 y x) (*.f64 6 z)))) 1/3))))) (#(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 (*.f64 (log.f64 (*.f64 (-.f64 y x) (*.f64 6 z))) 1) 1))))))

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

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-def_binary64`
509×	`associate-r_binary64`
504×	`associate-l_binary64`
266×	`unswap-sqr_binary64`
240×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	1403
1	380	761
2	1383	739
3	5931	716

Stop Event

1×	node limit

Counts

156 → 140

Calls

Call 1

Inputs
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) x))
(+.f64 (.f64 y (pow.f64 (sqrt.f64 6) 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 (sqrt.f64 6) 2) x)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) x)))) (pow.f64 y 2)) (+.f64 (.f64 y (pow.f64 (sqrt.f64 6) 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) x))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) x)))) (pow.f64 y 2)) (+.f64 (.f64 y (pow.f64 (sqrt.f64 6) 2)) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 (sqrt.f64 6) 2) x)))))
(*.f64 y (pow.f64 (sqrt.f64 6) 2))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) x)) (*.f64 y (pow.f64 (sqrt.f64 6) 2)))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 6) 2) y)) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 6) 2) y))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) x)) (.f64 y (pow.f64 (sqrt.f64 6) 2))))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 6) 2) y)) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 6) 2) y))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) x)) (+.f64 (.f64 y (pow.f64 (sqrt.f64 6) 2)) (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 6) 2) (pow.f64 y 2))) (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 6) 2) (pow.f64 y 2)))) (pow.f64 x 3)))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x)))
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -6) 2) (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -6) 2) (.f64 y z))) (.f64 (pow.f64 (sqrt.f64 -6) 2) (*.f64 z x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -6) 2) (.f64 y z))) (.f64 (pow.f64 (sqrt.f64 -6) 2) (*.f64 z x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -6) 2) (.f64 y z))) (.f64 (pow.f64 (sqrt.f64 -6) 2) (*.f64 z x)))
(.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x)))
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x)))
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 6)) (sqrt.f64 x))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 y (sqrt.f64 6)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 x)))) (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 6)) (sqrt.f64 x)))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 y 2) (sqrt.f64 6)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 y (sqrt.f64 6)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 x)))) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 6)) (sqrt.f64 x))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 y 2) (sqrt.f64 6)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 y (sqrt.f64 6)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (pow.f64 y 3) (sqrt.f64 6)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 6)) (sqrt.f64 x)))))
(*.f64 (sqrt.f64 y) (sqrt.f64 6))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (sqrt.f64 6) x))) (.f64 (sqrt.f64 y) (sqrt.f64 6)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 (sqrt.f64 6) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (sqrt.f64 6) x))) (*.f64 (sqrt.f64 y) (sqrt.f64 6))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 (sqrt.f64 6) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (sqrt.f64 6) x))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (.f64 (sqrt.f64 6) (pow.f64 x 3)))) (.f64 (sqrt.f64 y) (sqrt.f64 6)))))

Outputs
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) x))
(*.f64 x -6)
(+.f64 (.f64 y (pow.f64 (sqrt.f64 6) 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 (sqrt.f64 6) 2) x)))
(fma.f64 y (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) x)))
(fma.f64 6 y (*.f64 x -6))
(*.f64 6 (-.f64 y x))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) x)))) (pow.f64 y 2)) (+.f64 (.f64 y (pow.f64 (sqrt.f64 6) 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) x))))
(fma.f64 y (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) x)))
(fma.f64 6 y (*.f64 x -6))
(*.f64 6 (-.f64 y x))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) x)))) (pow.f64 y 2)) (+.f64 (.f64 y (pow.f64 (sqrt.f64 6) 2)) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 (sqrt.f64 6) 2) x)))))
(fma.f64 y (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) x)))
(fma.f64 6 y (*.f64 x -6))
(*.f64 6 (-.f64 y x))
(*.f64 y (pow.f64 (sqrt.f64 6) 2))
(*.f64 (pow.f64 (sqrt.f64 6) 2) y)
(*.f64 6 y)
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) x)) (*.f64 y (pow.f64 (sqrt.f64 6) 2)))
(fma.f64 y (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) x)))
(fma.f64 6 y (*.f64 x -6))
(*.f64 6 (-.f64 y x))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 6) 2) y)) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 6) 2) y))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) x)) (.f64 y (pow.f64 (sqrt.f64 6) 2))))
(fma.f64 y (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) x)))
(fma.f64 6 y (*.f64 x -6))
(*.f64 6 (-.f64 y x))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 6) 2) y)) (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 6) 2) y))) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) x)) (+.f64 (.f64 y (pow.f64 (sqrt.f64 6) 2)) (.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 6) 2) (pow.f64 y 2))) (*.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 6) 2) (pow.f64 y 2)))) (pow.f64 x 3)))))
(fma.f64 y (pow.f64 (sqrt.f64 6) 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 (sqrt.f64 6) 2) x)))
(fma.f64 6 y (*.f64 x -6))
(*.f64 6 (-.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x)))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 x z)))
(.f64 (.f64 x -6) z)
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z))
(.f64 6 (.f64 y z))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -6) 2) (*.f64 y z)))
(.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z))
(.f64 6 (.f64 y z))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -6) 2) (.f64 y z))) (.f64 (pow.f64 (sqrt.f64 -6) 2) (*.f64 z x)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -6) 2) (.f64 y z))) (.f64 (pow.f64 (sqrt.f64 -6) 2) (*.f64 z x)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -6) 2) (.f64 y z))) (.f64 (pow.f64 (sqrt.f64 -6) 2) (*.f64 z x)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z))
(.f64 6 (.f64 y z))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z x))) (.f64 y (*.f64 (pow.f64 (sqrt.f64 6) 2) z)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x)))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 x z)))
(.f64 (.f64 x -6) z)
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x)))
(neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 x z)))
(.f64 (.f64 x -6) z)
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(+.f64 (.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z)) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 z x))))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 (pow.f64 (sqrt.f64 6) 2) (.f64 z (-.f64 y x)))
(fma.f64 y (.f64 (pow.f64 (sqrt.f64 6) 2) z) (neg.f64 (.f64 (pow.f64 (sqrt.f64 6) 2) (*.f64 x z))))
(.f64 (.f64 6 z) (-.f64 y x))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 6)) (sqrt.f64 x))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 x)))
(+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 y (sqrt.f64 6)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 x)))) (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 6)) (sqrt.f64 x)))
(fma.f64 1/2 (.f64 (/.f64 y (/.f64 (sqrt.f64 -1) (sqrt.f64 6))) (sqrt.f64 (/.f64 1 x))) (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 6) (sqrt.f64 x))))
(fma.f64 1/2 (.f64 (.f64 (/.f64 y (sqrt.f64 -1)) (sqrt.f64 6)) (sqrt.f64 (/.f64 1 x))) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 x)) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/2 (/.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 -1) y)))))
(.f64 (sqrt.f64 6) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 x)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (/.f64 y (sqrt.f64 -1)))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 y 2) (sqrt.f64 6)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 y (sqrt.f64 6)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 x)))) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 6)) (sqrt.f64 x))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 6))) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/2 (.f64 (/.f64 y (/.f64 (sqrt.f64 -1) (sqrt.f64 6))) (sqrt.f64 (/.f64 1 x))) (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 6) (sqrt.f64 x)))))
(fma.f64 -1/8 (.f64 (.f64 (/.f64 (sqrt.f64 6) -1) (/.f64 (.f64 y y) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/2 (.f64 (.f64 (/.f64 y (sqrt.f64 -1)) (sqrt.f64 6)) (sqrt.f64 (/.f64 1 x))) (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 6) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 x)) (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 -1) y)) (sqrt.f64 (/.f64 1 x))) (.f64 1/8 (/.f64 (.f64 (sqrt.f64 6) (*.f64 y y)) (/.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 1/8 (/.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 -1) (.f64 y y)))) (.f64 (sqrt.f64 6) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 x)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (/.f64 y (sqrt.f64 -1))))))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 y 2) (sqrt.f64 6)) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 y (sqrt.f64 6)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (pow.f64 y 3) (sqrt.f64 6)) (pow.f64 (sqrt.f64 -1) 5)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 6)) (sqrt.f64 x)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 y y) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 6))) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/2 (.f64 (/.f64 y (/.f64 (sqrt.f64 -1) (sqrt.f64 6))) (sqrt.f64 (/.f64 1 x))) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (sqrt.f64 -1) 5) (sqrt.f64 6))) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 x))))))
(fma.f64 -1/8 (.f64 (.f64 (/.f64 (sqrt.f64 6) -1) (/.f64 (.f64 y y) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/2 (.f64 (.f64 (/.f64 y (sqrt.f64 -1)) (sqrt.f64 6)) (sqrt.f64 (/.f64 1 x))) (fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 x)) (.f64 (/.f64 (.f64 (sqrt.f64 6) (pow.f64 y 3)) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 1/16)))))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 -1) y)) (sqrt.f64 (/.f64 1 x))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 1/8 (/.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 -1) (.f64 y y)))) (fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 6) (sqrt.f64 x)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 1/16 (*.f64 (sqrt.f64 6) (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 5))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 1/8 (/.f64 (sqrt.f64 6) (/.f64 (sqrt.f64 -1) (.f64 y y)))) (fma.f64 (.f64 (sqrt.f64 6) (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (.f64 (sqrt.f64 6) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 x)) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (/.f64 y (sqrt.f64 -1)))))))
(*.f64 (sqrt.f64 y) (sqrt.f64 6))
(*.f64 (sqrt.f64 6) (sqrt.f64 y))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (sqrt.f64 6) x))) (.f64 (sqrt.f64 y) (sqrt.f64 6)))
(fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 6)) x) (*.f64 (sqrt.f64 6) (sqrt.f64 y)))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (sqrt.f64 6) x)) (*.f64 (sqrt.f64 6) (sqrt.f64 y)))
(.f64 (sqrt.f64 6) (+.f64 (sqrt.f64 y) (.f64 x (*.f64 -1/2 (sqrt.f64 (/.f64 1 y))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 (sqrt.f64 6) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (sqrt.f64 6) x))) (*.f64 (sqrt.f64 y) (sqrt.f64 6))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 (sqrt.f64 6) (.f64 x x))) (fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 6)) x) (.f64 (sqrt.f64 6) (sqrt.f64 y))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 (sqrt.f64 6) (.f64 x x))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (sqrt.f64 6) x)) (.f64 (sqrt.f64 6) (sqrt.f64 y))))
(fma.f64 (sqrt.f64 6) (sqrt.f64 y) (.f64 (sqrt.f64 6) (+.f64 (.f64 x (.f64 -1/2 (sqrt.f64 (/.f64 1 y)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 x (.f64 x -1/8))))))
(.f64 (sqrt.f64 6) (+.f64 (sqrt.f64 y) (.f64 x (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 y))) (.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) x)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 (sqrt.f64 6) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (sqrt.f64 6) x))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (.f64 (sqrt.f64 6) (pow.f64 x 3)))) (.f64 (sqrt.f64 y) (sqrt.f64 6)))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 (sqrt.f64 6) (.f64 x x))) (fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 6)) x) (fma.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (.f64 (sqrt.f64 6) (pow.f64 x 3))) (.f64 (sqrt.f64 6) (sqrt.f64 y)))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 (sqrt.f64 6) (.f64 x x))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (sqrt.f64 6) x)) (fma.f64 -1/16 (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 6) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (.f64 (sqrt.f64 6) (sqrt.f64 y)))))
(+.f64 (.f64 (sqrt.f64 6) (+.f64 (sqrt.f64 y) (.f64 -1/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))))) (.f64 (sqrt.f64 6) (+.f64 (.f64 x (.f64 -1/2 (sqrt.f64 (/.f64 1 y)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 x (*.f64 x -1/8))))))
(.f64 (sqrt.f64 6) (+.f64 (+.f64 (sqrt.f64 y) (.f64 -1/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))))) (.f64 x (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 y))) (.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) x)))))

eval274.0ms (3.1%)

Compiler: Compiled 11966 to 5618 computations (53.1% saved)

prune193.0ms (2.2%)

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	596	5	601
Fresh	1	3	4
Picked	1	0	1
Done	1	11	12
Total	599	19	618

Error

Counts

618 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	51.8b	(/.f64 (.f64 (.f64 6 z) (*.f64 y y)) (+.f64 y x))
	41.2b	(.f64 y (.f64 6 z))
✓	41.2b	(.f64 6 (.f64 y z))
✓	48.5b	(.f64 -6 (.f64 z x))
✓	21.9b	(*.f64 x (fma.f64 -6 z 1))
	56.2b	(pow.f64 (sqrt.f64 (.f64 z (.f64 -6 x))) 2)
	53.9b	(/.f64 (.f64 (.f64 6 z) (*.f64 x (neg.f64 x))) (+.f64 y x))
✓	0.2b	(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
✓	21.9b	(+.f64 (.f64 -6 (.f64 z x)) x)
	27.1b	(.f64 (-.f64 y x) (.f64 6 z))
✓	48.5b	(.f64 x (.f64 -6 z))
	38.2b	(.f64 (.f64 -6 (.f64 (.f64 z (+.f64 y x)) (-.f64 y x))) (/.f64 1 (neg.f64 (+.f64 y x))))
✓	41.2b	(.f64 z (.f64 6 y))
✓	21.9b	(.f64 (+.f64 (.f64 -6 z) 1) x)
✓	27.1b	(.f64 (.f64 6 (-.f64 y x)) z)
✓	14.7b	(+.f64 x (.f64 (.f64 6 y) z))
	48.5b	(.f64 (.f64 -6 x) z)
	35.7b	x
✓	14.6b	(+.f64 x (.f64 6 (.f64 y z)))

Compiler

Compiled 194 to 138 computations (28.9% saved)

regimes202.0ms (2.3%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

4 calls:

33.0ms	x
32.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
31.0ms	y
30.0ms	z

Results

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

Compiler

Compiled 293 to 153 computations (47.8% saved)

regimes210.0ms (2.4%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

4 calls:

58.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
56.0ms	z
55.0ms	x
27.0ms	y

Results

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

Compiler

Compiled 243 to 125 computations (48.6% saved)

regimes103.0ms (1.2%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	y
21.0ms	x
21.0ms	z

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`z`

Compiler

Compiled 128 to 74 computations (42.2% saved)

regimes224.0ms (2.5%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

106.0ms	x
56.0ms	z
53.0ms	y

Results

Error	Segments	Branch
8.3b	4	`x`
6.6b	3	`y`
0.8b	3	`z`

Compiler

Compiled 119 to 70 computations (41.2% saved)

bsearch93.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	5.396997530105683e-7	30284.525102377243
59.0ms	-165539980012.59372	-160033704.54018337

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes123.0ms (1.4%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

52.0ms	z
35.0ms	x
28.0ms	y

Results

Error	Segments	Branch
8.3b	4	`x`
6.6b	3	`y`
0.8b	3	`z`

Compiler

Compiled 112 to 67 computations (40.2% saved)

bsearch80.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	5.396997530105683e-7	30284.525102377243
20.0ms	-165539980012.59372	-160033704.54018337

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes184.0ms (2.1%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

104.0ms	z
49.0ms	x
28.0ms	y

Results

Error	Segments	Branch
8.3b	4	`x`
6.6b	3	`y`
0.8b	3	`z`

Compiler

Compiled 98 to 60 computations (38.8% saved)

bsearch41.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	5.396997530105683e-7	30284.525102377243
20.0ms	-165539980012.59372	-160033704.54018337

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes118.0ms (1.3%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

44.0ms	y
43.0ms	x
26.0ms	z

Results

Error	Segments	Branch
11.7b	5	`x`
12.9b	5	`y`
9.2b	3	`z`

Compiler

Compiled 91 to 56 computations (38.5% saved)

bsearch41.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	8.787229659038187e-16	5.6782155552210817e-11
23.0ms	-11746.95108953019	-5.620233357598957e-7

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes94.0ms (1.1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	y
33.0ms	x
23.0ms	z

Results

Error	Segments	Branch
11.7b	5	`x`
12.9b	5	`y`
9.2b	3	`z`

Compiler

Compiled 77 to 48 computations (37.7% saved)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	8.787229659038187e-16	5.6782155552210817e-11
20.0ms	-11746.95108953019	-5.620233357598957e-7

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes91.0ms (1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	x
32.0ms	y
19.0ms	z

Results

Error	Segments	Branch
11.8b	5	`x`
12.9b	5	`y`
9.2b	3	`z`

Compiler

Compiled 70 to 45 computations (35.7% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	8.787229659038187e-16	5.6782155552210817e-11
21.0ms	-11746.95108953019	-5.620233357598957e-7

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes92.0ms (1%)

Counts

10 → 3

Calls

Call 1

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

38.0ms	x
26.0ms	y
21.0ms	z

Results

Error	Segments	Branch
17.4b	5	`x`
23.7b	3	`y`
9.3b	3	`z`

Compiler

Compiled 63 to 40 computations (36.5% saved)

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	8.787229659038187e-16	5.6782155552210817e-11
22.0ms	-2.0837208492410545e-53	-1.4882204485966135e-66

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes98.0ms (1.1%)

Counts

9 → 4

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	x
32.0ms	z
28.0ms	y

Results

Error	Segments	Branch
25.8b	5	`x`
26.9b	5	`y`
20.9b	4	`z`

Compiler

Compiled 56 to 36 computations (35.7% saved)

bsearch91.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
54.0ms	3.1368519751671334e+110	2.540015462611571e+115
18.0ms	5.396997530105683e-7	30284.525102377243
20.0ms	-160033704.54018337	-11746.95108953019

Compiler

Compiled 180 to 139 computations (22.8% saved)

regimes75.0ms (0.8%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	z
24.0ms	x
23.0ms	y

Results

Error	Segments	Branch
25.9b	5	`x`
26.9b	5	`y`
20.9b	4	`z`

Compiler

Compiled 46 to 30 computations (34.8% saved)

bsearch89.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
53.0ms	3.1368519751671334e+110	2.540015462611571e+115
17.0ms	5.396997530105683e-7	30284.525102377243
19.0ms	-160033704.54018337	-11746.95108953019

Compiler

Compiled 180 to 139 computations (22.8% saved)

regimes131.0ms (1.5%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	y
46.0ms	x
36.0ms	z

Results

Error	Segments	Branch
25.9b	5	`x`
26.9b	5	`y`
20.9b	4	`z`

Compiler

Compiled 41 to 27 computations (34.1% saved)

bsearch263.0ms (3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
194.0ms	3.1368519751671334e+110	2.540015462611571e+115
35.0ms	5.396997530105683e-7	30284.525102377243
35.0ms	-160033704.54018337	-11746.95108953019

Compiler

Compiled 180 to 139 computations (22.8% saved)

regimes222.0ms (2.5%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

125.0ms	z
60.0ms	x
34.0ms	y

Results

Error	Segments	Branch
25.9b	5	`x`
26.9b	5	`y`
20.9b	4	`z`

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch161.0ms (1.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
74.0ms	3.1368519751671334e+110	2.540015462611571e+115
32.0ms	5.396997530105683e-7	30284.525102377243
53.0ms	-160033704.54018337	-11746.95108953019

Compiler

Compiled 180 to 139 computations (22.8% saved)

regimes82.0ms (0.9%)

Accuracy

Total -38.6b remaining (-165.1%)

Threshold costs -38.6b (-165.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

45.0ms	z
19.0ms	y
17.0ms	x

Results

Error	Segments	Branch
25.9b	5	`x`
26.9b	5	`y`
23.4b	3	`z`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	8.787229659038187e-16	5.6782155552210817e-11
19.0ms	-2.0837208492410545e-53	-1.4882204485966135e-66

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
8×	`+-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	73	510
1	102	510
2	106	510
3	108	510
4	109	510

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 (-.f64 y x) 6) z x)
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
(if (<=.f64 z -5424414065052671/32768) (.f64 6 (.f64 z (-.f64 y x))) (if (<=.f64 z 5097320048860267/9444732965739290427392) (+.f64 x (.f64 6 (.f64 y z))) (.f64 (.f64 6 (-.f64 y x)) z)))
(if (<=.f64 z -5424414065052671/32768) (.f64 6 (.f64 z (-.f64 y x))) (if (<=.f64 z 5097320048860267/9444732965739290427392) (+.f64 x (.f64 (.f64 6 y) z)) (.f64 (.f64 6 (-.f64 y x)) z)))
(if (<=.f64 z -5424414065052671/32768) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 5097320048860267/9444732965739290427392) (+.f64 x (.f64 (.f64 6 y) z)) (.f64 (.f64 6 (-.f64 y x)) z)))
(if (<=.f64 z -3228977328463599/274877906944) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 4455654780649223/5070602400912917605986812821504) (+.f64 (.f64 -6 (.f64 z x)) x) (.f64 (.f64 6 (-.f64 y x)) z)))
(if (<=.f64 z -3228977328463599/274877906944) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 4455654780649223/5070602400912917605986812821504) (.f64 (+.f64 (.f64 -6 z) 1) x) (.f64 (.f64 6 (-.f64 y x)) z)))
(if (<=.f64 z -3228977328463599/274877906944) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 4455654780649223/5070602400912917605986812821504) (.f64 (+.f64 (.f64 -6 z) 1) x) (.f64 (-.f64 y x) (.f64 6 z))))
(if (<=.f64 z -8988320474362987/431359146674410236714672241392314090778194310760649159697657763987456) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 4455654780649223/5070602400912917605986812821504) x (.f64 (-.f64 y x) (.f64 6 z))))
(if (<=.f64 z -687339527257814272/4294967296) (.f64 -6 (.f64 z x)) (if (<=.f64 z 5097320048860267/9444732965739290427392) x (if (<=.f64 z 319999999999999994192278630028793851670964830858501479934668747836770321740161705542585709580580405640427470848) (.f64 (.f64 -6 x) z) (.f64 6 (.f64 y z)))))
(if (<=.f64 z -687339527257814272/4294967296) (.f64 -6 (.f64 z x)) (if (<=.f64 z 5097320048860267/9444732965739290427392) x (if (<=.f64 z 319999999999999994192278630028793851670964830858501479934668747836770321740161705542585709580580405640427470848) (.f64 (.f64 -6 x) z) (.f64 y (.f64 6 z)))))
(if (<=.f64 z -687339527257814272/4294967296) (.f64 x (.f64 -6 z)) (if (<=.f64 z 5097320048860267/9444732965739290427392) x (if (<=.f64 z 319999999999999994192278630028793851670964830858501479934668747836770321740161705542585709580580405640427470848) (.f64 (.f64 -6 x) z) (.f64 y (.f64 6 z)))))
(if (<=.f64 z -687339527257814272/4294967296) (.f64 (.f64 -6 x) z) (if (<=.f64 z 5097320048860267/9444732965739290427392) x (if (<=.f64 z 319999999999999994192278630028793851670964830858501479934668747836770321740161705542585709580580405640427470848) (.f64 (.f64 -6 x) z) (.f64 y (.f64 6 z)))))
(if (<=.f64 z -8988320474362987/431359146674410236714672241392314090778194310760649159697657763987456) (.f64 y (.f64 6 z)) (if (<=.f64 z 4455654780649223/5070602400912917605986812821504) x (.f64 y (.f64 6 z))))
x

Outputs
(fma.f64 (*.f64 (-.f64 y x) 6) z x)
(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
(if (<=.f64 z -5424414065052671/32768) (.f64 6 (.f64 z (-.f64 y x))) (if (<=.f64 z 5097320048860267/9444732965739290427392) (+.f64 x (.f64 6 (.f64 y z))) (.f64 (.f64 6 (-.f64 y x)) z)))
(if (<=.f64 z -5424414065052671/32768) (.f64 6 (.f64 (-.f64 y x) z)) (if (<=.f64 z 5097320048860267/9444732965739290427392) (+.f64 x (.f64 6 (.f64 y z))) (.f64 (.f64 (-.f64 y x) 6) z)))
(if (<=.f64 z -5424414065052671/32768) (.f64 6 (.f64 z (-.f64 y x))) (if (<=.f64 z 5097320048860267/9444732965739290427392) (+.f64 x (.f64 (.f64 6 y) z)) (.f64 (.f64 6 (-.f64 y x)) z)))
(if (<=.f64 z -5424414065052671/32768) (.f64 6 (.f64 (-.f64 y x) z)) (if (<=.f64 z 5097320048860267/9444732965739290427392) (+.f64 x (.f64 z (.f64 y 6))) (.f64 (.f64 (-.f64 y x) 6) z)))
(if (<=.f64 z -5424414065052671/32768) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 5097320048860267/9444732965739290427392) (+.f64 x (.f64 (.f64 6 y) z)) (.f64 (.f64 6 (-.f64 y x)) z)))
(if (<=.f64 z -5424414065052671/32768) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 5097320048860267/9444732965739290427392) (+.f64 x (.f64 z (.f64 y 6))) (.f64 (.f64 (-.f64 y x) 6) z)))
(if (<=.f64 z -3228977328463599/274877906944) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 4455654780649223/5070602400912917605986812821504) (+.f64 (.f64 -6 (.f64 z x)) x) (.f64 (.f64 6 (-.f64 y x)) z)))
(if (<=.f64 z -3228977328463599/274877906944) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 4455654780649223/5070602400912917605986812821504) (+.f64 x (.f64 -6 (.f64 x z))) (.f64 (.f64 (-.f64 y x) 6) z)))
(if (<=.f64 z -3228977328463599/274877906944) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 4455654780649223/5070602400912917605986812821504) (.f64 (+.f64 (.f64 -6 z) 1) x) (.f64 (.f64 6 (-.f64 y x)) z)))
(if (<=.f64 z -3228977328463599/274877906944) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 4455654780649223/5070602400912917605986812821504) (.f64 x (+.f64 (.f64 z -6) 1)) (.f64 (.f64 (-.f64 y x) 6) z)))
(if (<=.f64 z -3228977328463599/274877906944) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 4455654780649223/5070602400912917605986812821504) (.f64 (+.f64 (.f64 -6 z) 1) x) (.f64 (-.f64 y x) (.f64 6 z))))
(if (<=.f64 z -3228977328463599/274877906944) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 4455654780649223/5070602400912917605986812821504) (.f64 x (+.f64 (.f64 z -6) 1)) (.f64 (-.f64 y x) (.f64 6 z))))
(if (<=.f64 z -8988320474362987/431359146674410236714672241392314090778194310760649159697657763987456) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 4455654780649223/5070602400912917605986812821504) x (.f64 (-.f64 y x) (.f64 6 z))))
(if (<=.f64 z -687339527257814272/4294967296) (.f64 -6 (.f64 z x)) (if (<=.f64 z 5097320048860267/9444732965739290427392) x (if (<=.f64 z 319999999999999994192278630028793851670964830858501479934668747836770321740161705542585709580580405640427470848) (.f64 (.f64 -6 x) z) (.f64 6 (.f64 y z)))))
(if (<=.f64 z -2684920028350837/16777216) (.f64 -6 (.f64 x z)) (if (<=.f64 z 5097320048860267/9444732965739290427392) x (if (<=.f64 z 319999999999999994192278630028793851670964830858501479934668747836770321740161705542585709580580405640427470848) (.f64 z (.f64 x -6)) (.f64 6 (.f64 y z)))))
(if (<=.f64 z -687339527257814272/4294967296) (.f64 -6 (.f64 z x)) (if (<=.f64 z 5097320048860267/9444732965739290427392) x (if (<=.f64 z 319999999999999994192278630028793851670964830858501479934668747836770321740161705542585709580580405640427470848) (.f64 (.f64 -6 x) z) (.f64 y (.f64 6 z)))))
(if (<=.f64 z -2684920028350837/16777216) (.f64 -6 (.f64 x z)) (if (<=.f64 z 5097320048860267/9444732965739290427392) x (if (<=.f64 z 319999999999999994192278630028793851670964830858501479934668747836770321740161705542585709580580405640427470848) (.f64 z (.f64 x -6)) (.f64 y (.f64 6 z)))))
(if (<=.f64 z -687339527257814272/4294967296) (.f64 x (.f64 -6 z)) (if (<=.f64 z 5097320048860267/9444732965739290427392) x (if (<=.f64 z 319999999999999994192278630028793851670964830858501479934668747836770321740161705542585709580580405640427470848) (.f64 (.f64 -6 x) z) (.f64 y (.f64 6 z)))))
(if (<=.f64 z -2684920028350837/16777216) (.f64 x (.f64 z -6)) (if (<=.f64 z 5097320048860267/9444732965739290427392) x (if (<=.f64 z 319999999999999994192278630028793851670964830858501479934668747836770321740161705542585709580580405640427470848) (.f64 z (.f64 x -6)) (.f64 y (.f64 6 z)))))
(if (<=.f64 z -687339527257814272/4294967296) (.f64 (.f64 -6 x) z) (if (<=.f64 z 5097320048860267/9444732965739290427392) x (if (<=.f64 z 319999999999999994192278630028793851670964830858501479934668747836770321740161705542585709580580405640427470848) (.f64 (.f64 -6 x) z) (.f64 y (.f64 6 z)))))
(if (<=.f64 z -2684920028350837/16777216) (.f64 z (.f64 x -6)) (if (<=.f64 z 5097320048860267/9444732965739290427392) x (if (<=.f64 z 319999999999999994192278630028793851670964830858501479934668747836770321740161705542585709580580405640427470848) (.f64 z (.f64 x -6)) (.f64 y (.f64 6 z)))))
(if (<=.f64 z -8988320474362987/431359146674410236714672241392314090778194310760649159697657763987456) (.f64 y (.f64 6 z)) (if (<=.f64 z 4455654780649223/5070602400912917605986812821504) x (.f64 y (.f64 6 z))))
x

Compiler

Compiled 403 to 263 computations (34.7% saved)

soundness156.0ms (1.7%)

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

end283.0ms (3.2%)

Compiler: Compiled 358 to 205 computations (42.7% saved)