Details

analyze224.0ms (2.4%)

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)

sample1.0s (11.2%)

Results

887.0ms	8256×	body	256	valid
127.0ms	1240×	body	256	invalid

preprocess188.0ms (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)

simplify68.0ms (0.7%)

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

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

0.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)
▶	0.4b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize12.0ms (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)
✓	0.5b	(.f64 (.f64 (-.f64 y x) 6) z)

Compiler

Compiled 31 to 14 computations (54.8% saved)

series12.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite80.0ms (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)))))

simplify121.0ms (1.3%)

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)

localize29.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 y x) 6)
✓	0.4b	(fma.f64 (*.f64 (-.f64 y x) 6) z x)

Compiler

Compiled 23 to 10 computations (56.5% saved)

series8.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite151.0ms (1.6%)

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)))))))

simplify94.0ms (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)

eval97.0ms (1.1%)

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

prune46.0ms (0.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	209	12	221
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	211	12	223

Error

0.0b

Counts

223 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
	0.8b	(+.f64 x (pow.f64 (cbrt.f64 (.f64 (-.f64 y x) (.f64 6 z))) 3))
	22.2b	(.f64 (+.f64 1 (.f64 -6 z)) x)
▶	29.8b	(.f64 6 (.f64 z (-.f64 y x)))
	28.6b	(+.f64 x (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) (.f64 6 z)) (+.f64 y x)))
	25.1b	(+.f64 x (.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) 6) (+.f64 y x)) z))
	22.2b	(+.f64 x (.f64 (.f64 -6 x) z))
▶	41.5b	(.f64 6 (.f64 y z))
▶	0.2b	(+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) x))
	34.0b	x
▶	12.7b	(+.f64 x (.f64 6 (.f64 y z)))
	41.8b	(.f64 z (.f64 6 y))

Compiler

Compiled 282 to 193 computations (31.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 14 computations (51.7% saved)

series5.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

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

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

simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

177 → 121

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

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	z	@	0	(.f64 6 (.f64 y z))
1.0ms	y	@	inf	(.f64 6 (.f64 y z))
0.0ms	z	@	-inf	(.f64 6 (.f64 y z))

rewrite50.0ms (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))
✓	0.3b	(.f64 6 (.f64 z (-.f64 y x)))

Compiler

Compiled 22 to 8 computations (63.6% saved)

series10.0ms (0.1%)

Counts

2 → 60

Calls

18 calls:

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

rewrite67.0ms (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))))))))

simplify79.0ms (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)))
	0.3b	(.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	z	@	-inf	(+.f64 x (.f64 6 (.f64 y z)))
0.0ms	x	@	-inf	(+.f64 x (.f64 6 (.f64 y z)))
0.0ms	z	@	0	(+.f64 x (.f64 6 (.f64 y z)))

rewrite62.0ms (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)))))

simplify12.0ms (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)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 20 computations (54.5% saved)

series8.0ms (0.1%)

Counts

3 → 36

Calls

24 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	y	@	0	(+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) x))

rewrite91.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`log-prod_binary64`
660×	`fma-def_binary64`
352×	`fma-neg_binary64`
349×	`pow2_binary64`
243×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	267	30
2	3695	30

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

Inputs
(.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))

Outputs

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

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

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

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

700×	`fma-def_binary64`
687×	`fma-neg_binary64`
115×	`distribute-rgt-in_binary64`
115×	`cancel-sign-sub-inv_binary64`
114×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	329
1	89	323
2	217	323
3	438	321
4	995	303
5	1804	303
6	2592	303
7	2793	303
8	2805	303
9	2805	303

Stop Event

1×

saturated

Counts

213 → 192

Calls

Call 1

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

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

eval129.0ms (1.4%)

Compiler: Compiled 6754 to 3762 computations (44.3% saved)

prune72.0ms (0.8%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	423	10	433
Fresh	5	2	7
Picked	0	1	1
Done	1	3	4
Total	429	16	445

Error

Counts

445 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.5b	(.f64 6 (.f64 y z))
	33.8b	(fma.f64 (.f64 (.f64 -6 z) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z (*.f64 6 y) x))
✓	0.2b	(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
	34.0b	x
	25.1b	(+.f64 x (.f64 (/.f64 (.f64 (-.f64 (.f64 y y) (.f64 x x)) 6) (+.f64 y x)) z))
▶	22.2b	(+.f64 (.f64 -6 (.f64 z x)) x)
	50.8b	(.f64 z (.f64 -6 x))
✓	12.7b	(+.f64 x (.f64 6 (.f64 y z)))
▶	46.4b	(/.f64 (.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))
▶	50.8b	(.f64 -6 (.f64 z x))
▶	41.8b	(.f64 z (.f64 6 y))
▶	22.2b	(.f64 (+.f64 1 (.f64 -6 z)) x)
✓	0.2b	(+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) x))
	29.8b	(.f64 (.f64 z -6) (-.f64 x y))
	41.9b	(pow.f64 (cbrt.f64 (.f64 6 (.f64 y z))) 3)
	29.8b	(+.f64 (.f64 -6 (.f64 z x)) (.f64 6 (.f64 y z)))

Compiler

Compiled 320 to 221 computations (30.9% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (+.f64 1 (.f64 -6 z)) x)
1.0ms	z	@	0	(.f64 (+.f64 1 (.f64 -6 z)) x)
0.0ms	x	@	-inf	(.f64 (+.f64 1 (.f64 -6 z)) x)
0.0ms	z	@	inf	(.f64 (+.f64 1 (.f64 -6 z)) x)
0.0ms	x	@	inf	(.f64 (+.f64 1 (.f64 -6 z)) x)

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

777×	`pow1_binary64`
723×	`add-log-exp_binary64`
723×	`log1p-expm1-u_binary64`
723×	`expm1-log1p-u_binary64`
710×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	162	8
2	1965	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 -6 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 -6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -6 z) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -6 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 -6 z 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 -216 (pow.f64 z 3))) x) (+.f64 1 (+.f64 (*.f64 36 (*.f64 z z)) (*.f64 6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 36 (*.f64 z z))) x) (+.f64 1 (*.f64 6 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (*.f64 -216 (pow.f64 z 3)))) (+.f64 1 (+.f64 (*.f64 36 (*.f64 z z)) (*.f64 6 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 36 (*.f64 z z)))) (+.f64 1 (*.f64 6 z)))))) (#(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)))))))

simplify26.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

28×	`fma-def_binary64`
10×	`associate-r_binary64`
10×	`associate-l_binary64`
6×	`*-commutative_binary64`
4×	`*-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	87
1	13	87
2	25	87
3	37	87
4	43	87
5	57	87
6	80	87
7	84	87
8	86	87

Stop Event

1×

saturated

Counts

33 → 26

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)

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))

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 7 computations (50% saved)

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 z (.f64 6 y))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (0.7%)

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))))))))

simplify22.0ms (0.2%)

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))

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

localize31.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.6b	(-.f64 (.f64 y y) (.f64 x x))
✓	7.9b	(.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x)))
✓	21.2b	(/.f64 (.f64 (.f64 6 z) (-.f64 (.f64 y y) (.f64 x x))) (+.f64 y x))

Compiler

Compiled 52 to 17 computations (67.3% saved)

series20.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

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

rewrite106.0ms (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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (*.f64 6 z) 1) (-.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 6 z) 1) (-.f64 y x)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 6 z) 1) (-.f64 y x)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 6 z) 1) (-.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 6 z) 1) (-.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 6 z) 1) (-.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 6 z) 1) (-.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 (*.f64 (*.f64 z (+.f64 y x)) (-.f64 y x)) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 (*.f64 (*.f64 z (+.f64 y x)) (-.f64 y x)) (/.f64 1 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6 z) (/.f64 1 (/.f64 1 (-.f64 y 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simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

387 → 310

Calls

Call 1

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

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

eval105.0ms (1.1%)

Compiler: Compiled 8273 to 3165 computations (61.7% saved)

prune103.0ms (1.1%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	375	7	382
Fresh	5	2	7
Picked	1	0	1
Done	0	8	8
Total	381	17	398

Error

Counts

398 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	46.3b	(/.f64 (.f64 6 (.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z)) (+.f64 y x))
	34.0b	x
✓	0.2b	(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
	41.5b	(.f64 y (.f64 6 z))
▶	50.8b	(.f64 x (.f64 z -6))
▶	28.2b	(/.f64 (.f64 (-.f64 1 (.f64 36 (.f64 z z))) x) (+.f64 1 (.f64 6 z)))
▶	50.8b	(.f64 z (.f64 -6 x))
✓	12.7b	(+.f64 x (.f64 6 (.f64 y z)))
✓	50.8b	(.f64 -6 (.f64 z x))
✓	41.8b	(.f64 z (.f64 6 y))
✓	22.2b	(.f64 (+.f64 1 (.f64 -6 z)) x)
✓	41.5b	(.f64 6 (.f64 y z))
▶	55.4b	(/.f64 (.f64 x (.f64 x (*.f64 z -6))) (+.f64 y x))
✓	0.2b	(+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) x))
	29.8b	(.f64 (.f64 z -6) (-.f64 x y))
▶	42.6b	(.f64 (.f64 -6 (.f64 (.f64 z (+.f64 y x)) (-.f64 y x))) (/.f64 1 (neg.f64 (+.f64 y x))))
✓	22.2b	(+.f64 (.f64 -6 (.f64 z x)) x)

Compiler

Compiled 296 to 204 computations (31.1% saved)

localize37.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 36 (.f64 z z))
✓	3.6b	(.f64 (-.f64 1 (.f64 36 (*.f64 z z))) x)
✓	5.7b	(/.f64 (.f64 (-.f64 1 (.f64 36 (.f64 z z))) x) (+.f64 1 (.f64 6 z)))

Compiler

Compiled 55 to 34 computations (38.2% saved)

series9.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (.f64 (-.f64 1 (.f64 36 (.f64 z z))) x) (+.f64 1 (.f64 6 z)))
1.0ms	z	@	0	(/.f64 (.f64 (-.f64 1 (.f64 36 (.f64 z z))) x) (+.f64 1 (.f64 6 z)))
1.0ms	z	@	inf	(/.f64 (.f64 (-.f64 1 (.f64 36 (.f64 z z))) x) (+.f64 1 (.f64 6 z)))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1 (.f64 36 (.f64 z z))) x) (+.f64 1 (.f64 6 z)))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 1 (.f64 36 (.f64 z z))) x) (+.f64 1 (.f64 6 z)))

rewrite107.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`log-prod_binary64`
460×	`fma-def_binary64`
342×	`pow2_binary64`
236×	`pow1/3_binary64`
231×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	284	30
2	3854	28

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 1 (.f64 36 (.f64 z z))) x) (+.f64 1 (.f64 6 z)))
(.f64 (-.f64 1 (.f64 36 (*.f64 z z))) x)
(.f64 36 (.f64 z z))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (*.f64 z z) -36) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 (*.f64 z z) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 (*.f64 z z) -36 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 z z) -36 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 z z) -36 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 z z) -36 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 z z) -36 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (*.f64 z z) -36 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (*.f64 z z) 3) 46656)) x) (+.f64 1 (fma.f64 36 (*.f64 z z) (*.f64 (pow.f64 z 4) 1296))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 z 4) 1296)) x) (fma.f64 36 (*.f64 z z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 (pow.f64 (*.f64 z z) 3) 46656))) (+.f64 1 (fma.f64 36 (*.f64 z z) (*.f64 (pow.f64 z 4) 1296))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 (pow.f64 z 4) 1296))) (fma.f64 36 (*.f64 z z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (*.f64 z z) -36 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z z) -36 1) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z z) -36 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 z z) -36 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 z z) -36 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 z z) -36 1) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 z z) -36 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z z) -36 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 z z) -36 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (*.f64 z z) -36 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z z) -36 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 z z) -36 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 z z) -36 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 (*.f64 z z) -36 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 (*.f64 z z) -36 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 (*.f64 z z) -36 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (*.f64 z z) -36 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (*.f64 (*.f64 z z) -36) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (*.f64 (*.f64 z z) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (*.f64 (*.f64 z z) -36) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x (*.f64 (*.f64 z z) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (*.f64 z z) -36) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 (*.f64 z z) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 (*.f64 z z) -36) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (*.f64 (*.f64 z z) -36)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (*.f64 z z) -36) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 (*.f64 z z) -36)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 36 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) z) 36)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) z) 36))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) z) 36))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) z) 36))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 36 (*.f64 z z) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 36 (*.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z 4) 1296) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 z 6)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 z z) 3) 46656) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 z 4) 1296))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 z) z) 36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 36 (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 z z) 3) 46656))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 36 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 36 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 z) (log.f64 36)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 z) (log.f64 36)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 36 (*.f64 z z) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 36 (*.f64 z z) 1)) 2) (cbrt.f64 (fma.f64 36 (*.f64 z z) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 z 6)) (hypot.f64 1 (*.f64 z 6)) -1)))))

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

532×	`associate-/l*_binary64`
520×	`fma-neg_binary64`
482×	`associate-/r/_binary64`
437×	`associate-/l/_binary64`
417×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	687
1	50	639
2	105	639
3	254	639
4	863	639
5	1868	639
6	5159	639
7	7498	639

Stop Event

1×	node limit

Counts

169 → 123

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 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
x
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(.f64 -36 (.f64 (pow.f64 z 2) x))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(.f64 -36 (.f64 (pow.f64 z 2) x))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))
(*.f64 36 (pow.f64 z 2))

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 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (+.f64 1 (.f64 -36 (.f64 z z))) (/.f64 (+.f64 1 (*.f64 z 6)) x))
(/.f64 (fma.f64 -36 (.f64 x (.f64 z z)) x) (fma.f64 z 6 1))
(.f64 x (/.f64 (fma.f64 (.f64 z z) -36 1) (fma.f64 z 6 1)))
(.f64 x (/.f64 (fma.f64 z (.f64 z -36) 1) (fma.f64 z 6 1)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (+.f64 1 (.f64 -36 (.f64 z z))) (/.f64 (+.f64 1 (*.f64 z 6)) x))
(/.f64 (fma.f64 -36 (.f64 x (.f64 z z)) x) (fma.f64 z 6 1))
(.f64 x (/.f64 (fma.f64 (.f64 z z) -36 1) (fma.f64 z 6 1)))
(.f64 x (/.f64 (fma.f64 z (.f64 z -36) 1) (fma.f64 z 6 1)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (+.f64 1 (.f64 -36 (.f64 z z))) (/.f64 (+.f64 1 (*.f64 z 6)) x))
(/.f64 (fma.f64 -36 (.f64 x (.f64 z z)) x) (fma.f64 z 6 1))
(.f64 x (/.f64 (fma.f64 (.f64 z z) -36 1) (fma.f64 z 6 1)))
(.f64 x (/.f64 (fma.f64 z (.f64 z -36) 1) (fma.f64 z 6 1)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (+.f64 1 (.f64 -36 (.f64 z z))) (/.f64 (+.f64 1 (*.f64 z 6)) x))
(/.f64 (fma.f64 -36 (.f64 x (.f64 z z)) x) (fma.f64 z 6 1))
(.f64 x (/.f64 (fma.f64 (.f64 z z) -36 1) (fma.f64 z 6 1)))
(.f64 x (/.f64 (fma.f64 z (.f64 z -36) 1) (fma.f64 z 6 1)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (+.f64 1 (.f64 -36 (.f64 z z))) (/.f64 (+.f64 1 (*.f64 z 6)) x))
(/.f64 (fma.f64 -36 (.f64 x (.f64 z z)) x) (fma.f64 z 6 1))
(.f64 x (/.f64 (fma.f64 (.f64 z z) -36 1) (fma.f64 z 6 1)))
(.f64 x (/.f64 (fma.f64 z (.f64 z -36) 1) (fma.f64 z 6 1)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (+.f64 1 (.f64 -36 (.f64 z z))) (/.f64 (+.f64 1 (*.f64 z 6)) x))
(/.f64 (fma.f64 -36 (.f64 x (.f64 z z)) x) (fma.f64 z 6 1))
(.f64 x (/.f64 (fma.f64 (.f64 z z) -36 1) (fma.f64 z 6 1)))
(.f64 x (/.f64 (fma.f64 z (.f64 z -36) 1) (fma.f64 z 6 1)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (+.f64 1 (.f64 -36 (.f64 z z))) (/.f64 (+.f64 1 (*.f64 z 6)) x))
(/.f64 (fma.f64 -36 (.f64 x (.f64 z z)) x) (fma.f64 z 6 1))
(.f64 x (/.f64 (fma.f64 (.f64 z z) -36 1) (fma.f64 z 6 1)))
(.f64 x (/.f64 (fma.f64 z (.f64 z -36) 1) (fma.f64 z 6 1)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (+.f64 1 (.f64 -36 (.f64 z z))) (/.f64 (+.f64 1 (*.f64 z 6)) x))
(/.f64 (fma.f64 -36 (.f64 x (.f64 z z)) x) (fma.f64 z 6 1))
(.f64 x (/.f64 (fma.f64 (.f64 z z) -36 1) (fma.f64 z 6 1)))
(.f64 x (/.f64 (fma.f64 z (.f64 z -36) 1) (fma.f64 z 6 1)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (+.f64 1 (.f64 -36 (.f64 z z))) (/.f64 (+.f64 1 (*.f64 z 6)) x))
(/.f64 (fma.f64 -36 (.f64 x (.f64 z z)) x) (fma.f64 z 6 1))
(.f64 x (/.f64 (fma.f64 (.f64 z z) -36 1) (fma.f64 z 6 1)))
(.f64 x (/.f64 (fma.f64 z (.f64 z -36) 1) (fma.f64 z 6 1)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (+.f64 1 (.f64 -36 (.f64 z z))) (/.f64 (+.f64 1 (*.f64 z 6)) x))
(/.f64 (fma.f64 -36 (.f64 x (.f64 z z)) x) (fma.f64 z 6 1))
(.f64 x (/.f64 (fma.f64 (.f64 z z) -36 1) (fma.f64 z 6 1)))
(.f64 x (/.f64 (fma.f64 z (.f64 z -36) 1) (fma.f64 z 6 1)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (+.f64 1 (.f64 -36 (.f64 z z))) (/.f64 (+.f64 1 (*.f64 z 6)) x))
(/.f64 (fma.f64 -36 (.f64 x (.f64 z z)) x) (fma.f64 z 6 1))
(.f64 x (/.f64 (fma.f64 (.f64 z z) -36 1) (fma.f64 z 6 1)))
(.f64 x (/.f64 (fma.f64 z (.f64 z -36) 1) (fma.f64 z 6 1)))
(/.f64 (.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x) (+.f64 1 (*.f64 6 z)))
(/.f64 (+.f64 1 (.f64 -36 (.f64 z z))) (/.f64 (+.f64 1 (*.f64 z 6)) x))
(/.f64 (fma.f64 -36 (.f64 x (.f64 z z)) x) (fma.f64 z 6 1))
(.f64 x (/.f64 (fma.f64 (.f64 z z) -36 1) (fma.f64 z 6 1)))
(.f64 x (/.f64 (fma.f64 z (.f64 z -36) 1) (fma.f64 z 6 1)))
x
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(.f64 -36 (.f64 (pow.f64 z 2) x))
(.f64 -36 (.f64 x (*.f64 z z)))
(.f64 (.f64 z z) (*.f64 x -36))
(.f64 z (.f64 z (*.f64 x -36)))
(.f64 x (.f64 z (*.f64 z -36)))
(.f64 x (.f64 (*.f64 z z) -36))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(.f64 -36 (.f64 (pow.f64 z 2) x))
(.f64 -36 (.f64 x (*.f64 z z)))
(.f64 (.f64 z z) (*.f64 x -36))
(.f64 z (.f64 z (*.f64 x -36)))
(.f64 x (.f64 z (*.f64 z -36)))
(.f64 x (.f64 (*.f64 z z) -36))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(+.f64 (.f64 -36 (.f64 (pow.f64 z 2) x)) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(.f64 (-.f64 1 (.f64 36 (pow.f64 z 2))) x)
(fma.f64 -36 (.f64 x (.f64 z z)) x)
(.f64 x (fma.f64 (.f64 z z) -36 1))
(.f64 x (fma.f64 z (.f64 z -36) 1))
(*.f64 36 (pow.f64 z 2))
(.f64 36 (.f64 z z))
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 36 (.f64 z z))
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 36 (.f64 z z))
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 36 (.f64 z z))
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 36 (.f64 z z))
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 36 (.f64 z z))
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 36 (.f64 z z))
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 36 (.f64 z z))
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 36 (.f64 z z))
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 36 (.f64 z z))
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 36 (.f64 z z))
(.f64 z (.f64 z 36))
(*.f64 36 (pow.f64 z 2))
(.f64 36 (.f64 z z))
(.f64 z (.f64 z 36))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify12.0ms (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))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

Outputs

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

simplify15.0ms (0.2%)

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))

localize120.0ms (1.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x (*.f64 z -6)))
	0.2b	(.f64 x (.f64 z -6))
✓	13.8b	(/.f64 (.f64 x (.f64 x (*.f64 z -6))) (+.f64 y x))

Compiler

Compiled 36 to 19 computations (47.2% saved)

series16.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

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

rewrite120.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

136 → 96

Calls

Call 1

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

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

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (neg.f64 (+.f64 y x)))
✓	0.2b	(.f64 (.f64 z (+.f64 y x)) (-.f64 y x))
✓	0.2b	(.f64 -6 (.f64 (*.f64 z (+.f64 y x)) (-.f64 y x)))
✓	21.3b	(.f64 (.f64 -6 (.f64 (.f64 z (+.f64 y x)) (-.f64 y x))) (/.f64 1 (neg.f64 (+.f64 y x))))

Compiler

Compiled 67 to 19 computations (71.6% saved)

series18.0ms (0.2%)

Counts

4 → 132

Calls

33 calls:

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

rewrite86.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`prod-diff_binary64`
348×	`fma-def_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`
205×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	311	46
2	4576	46

Stop Event

1×	node limit

Counts

4 → 99

Calls

Call 1

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

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

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Rules

648×	`associate-/l*_binary64`
534×	`fma-neg_binary64`
522×	`cancel-sign-sub-inv_binary64`
441×	`fma-def_binary64`
268×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1938
1	259	1824
2	844	1788
3	3402	1704

Stop Event

1×	node limit

Counts

231 → 149

Calls

Call 1

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

eval175.0ms (1.9%)

Compiler: Compiled 7173 to 3939 computations (45.1% saved)

prune67.0ms (0.7%)

Pruning

17 alts after pruning (6 fresh and 11 done)

	Pruned	Kept	Total
New	400	4	404
Fresh	2	2	4
Picked	1	0	1
Done	1	11	12
Total	404	17	421

Error

Counts

421 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(+.f64 (.f64 -6 (.f64 z x)) (+.f64 (.f64 6 (.f64 y z)) x))
	29.8b	(.f64 (-.f64 y x) (.f64 6 z))
✓	0.2b	(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
	41.5b	(.f64 y (.f64 6 z))
	57.0b	(/.f64 (.f64 x (.f64 (.f64 z z) -36)) (+.f64 1 (.f64 6 z)))
✓	22.2b	(+.f64 (.f64 -6 (.f64 z x)) x)
✓	50.8b	(.f64 z (.f64 -6 x))
✓	12.7b	(+.f64 x (.f64 6 (.f64 y z)))
✓	50.8b	(.f64 -6 (.f64 z x))
✓	41.8b	(.f64 z (.f64 6 y))
✓	22.2b	(.f64 (+.f64 1 (.f64 -6 z)) x)
✓	41.5b	(.f64 6 (.f64 y z))
✓	55.4b	(/.f64 (.f64 x (.f64 x (*.f64 z -6))) (+.f64 y x))
	34.0b	x
	50.2b	(.f64 (.f64 -6 (.f64 (.f64 z (+.f64 y x)) (-.f64 y x))) (/.f64 -1 y))
✓	50.8b	(.f64 x (.f64 z -6))
	55.4b	(.f64 (.f64 6 (.f64 x (.f64 z x))) (/.f64 1 (neg.f64 (+.f64 y x))))

Compiler

Compiled 185 to 132 computations (28.6% saved)

regimes116.0ms (1.3%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	z
20.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) z))
20.0ms	y
18.0ms	x

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 351 to 177 computations (49.6% saved)

regimes147.0ms (1.6%)

Counts

17 → 3

Calls

Call 1

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

Calls

3 calls:

83.0ms	y
34.0ms	x
26.0ms	z

Results

Error	Segments	Branch
7.6b	3	`x`
6.2b	6	`y`
1.2b	3	`z`

Compiler

Compiled 104 to 61 computations (41.3% saved)

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	3.4403033977396004e-8	39.74042350152246
20.0ms	-14518.540134787778	-1.9783655224905137e-7

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes204.0ms (2.2%)

Counts

16 → 5

Calls

Call 1

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

Calls

3 calls:

96.0ms	y
79.0ms	z
26.0ms	x

Results

Error	Segments	Branch
11.4b	3	`x`
12.8b	9	`y`
10.2b	5	`z`

Compiler

Compiled 97 to 58 computations (40.2% saved)

bsearch77.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	1.263832731022775e-26	2.0694753977958858e-20
18.0ms	2.715662097921712e-157	3.210208656391129e-153
20.0ms	3.8222155989673045e-176	4.96718999444742e-170
19.0ms	-7155596025991.485	-1595283800.7036858

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes200.0ms (2.2%)

Counts

15 → 5

Calls

Call 1

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

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

Calls

3 calls:

133.0ms	y
38.0ms	z
25.0ms	x

Results

Error	Segments	Branch
11.4b	3	`x`
12.8b	9	`y`
10.2b	5	`z`

Compiler

Compiled 90 to 54 computations (40% saved)

bsearch145.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
87.0ms	1.263832731022775e-26	2.0694753977958858e-20
18.0ms	2.715662097921712e-157	3.210208656391129e-153
20.0ms	3.8222155989673045e-176	4.96718999444742e-170
19.0ms	-7155596025991.485	-1595283800.7036858

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes338.0ms (3.7%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

3 calls:

144.0ms	z
134.0ms	y
57.0ms	x

Results

Error	Segments	Branch
11.4b	3	`x`
12.8b	9	`y`
10.2b	5	`z`

Compiler

Compiled 83 to 51 computations (38.6% saved)

bsearch106.0ms (1.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	1.263832731022775e-26	2.0694753977958858e-20
19.0ms	2.715662097921712e-157	3.210208656391129e-153
48.0ms	3.8222155989673045e-176	4.96718999444742e-170
20.0ms	-7155596025991.485	-1595283800.7036858

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes227.0ms (2.5%)

Counts

10 → 5

Calls

Call 1

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

Calls

3 calls:

116.0ms	y
77.0ms	x
31.0ms	z

Results

Error	Segments	Branch
15.5b	9	`x`
19.1b	13	`y`
10.8b	5	`z`

Compiler

Compiled 55 to 34 computations (38.2% saved)

bsearch86.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	1.263832731022775e-26	2.0694753977958858e-20
29.0ms	2.715662097921712e-157	3.210208656391129e-153
19.0ms	3.8222155989673045e-176	4.96718999444742e-170
18.0ms	-2.0902412021159908e-15	-3.461440296079871e-20

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes162.0ms (1.8%)

Counts

9 → 8

Calls

Call 1

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

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

Calls

3 calls:

75.0ms	y
68.0ms	z
17.0ms	x

Results

Error	Segments	Branch
23.6b	3	`x`
26.0b	7	`y`
19.2b	8	`z`

Compiler

Compiled 48 to 30 computations (37.5% saved)

bsearch250.0ms (2.7%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
28.0ms	8.041236063251869e+154	1.152671998164954e+157
42.0ms	9.990315517203596e+104	5.539488708408122e+105
70.0ms	249170112585.27737	3.9290823307077834e+34
25.0ms	1.263832731022775e-26	2.0694753977958858e-20
19.0ms	2.715662097921712e-157	3.210208656391129e-153
46.0ms	3.8222155989673045e-176	4.96718999444742e-170
20.0ms	-14518.540134787778	-1.9783655224905137e-7

Compiler

Compiled 270 to 209 computations (22.6% saved)

regimes209.0ms (2.3%)

Counts

8 → 8

Calls

Call 1

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

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

Calls

3 calls:

105.0ms	y
66.0ms	z
34.0ms	x

Results

Error	Segments	Branch
23.6b	3	`x`
26.1b	7	`y`
19.2b	8	`z`

Compiler

Compiled 43 to 27 computations (37.2% saved)

bsearch384.0ms (4.2%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
31.0ms	8.041236063251869e+154	1.152671998164954e+157
48.0ms	9.990315517203596e+104	5.539488708408122e+105
121.0ms	249170112585.27737	3.9290823307077834e+34
71.0ms	1.263832731022775e-26	2.0694753977958858e-20
40.0ms	2.715662097921712e-157	3.210208656391129e-153
35.0ms	3.8222155989673045e-176	4.96718999444742e-170
38.0ms	-14518.540134787778	-1.9783655224905137e-7

Compiler

Compiled 270 to 209 computations (22.6% saved)

regimes99.0ms (1.1%)

Counts

7 → 8

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	z
36.0ms	y
22.0ms	x

Results

Error	Segments	Branch
23.6b	3	`x`
26.1b	7	`y`
19.2b	8	`z`

Compiler

Compiled 38 to 24 computations (36.8% saved)

bsearch194.0ms (2.1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
30.0ms	8.041236063251869e+154	1.152671998164954e+157
43.0ms	9.990315517203596e+104	5.539488708408122e+105
36.0ms	249170112585.27737	3.9290823307077834e+34
20.0ms	1.263832731022775e-26	2.0694753977958858e-20
23.0ms	2.715662097921712e-157	3.210208656391129e-153
20.0ms	3.8222155989673045e-176	4.96718999444742e-170
22.0ms	-14518.540134787778	-1.9783655224905137e-7

Compiler

Compiled 270 to 209 computations (22.6% saved)

regimes123.0ms (1.3%)

Counts

5 → 8

Calls

Call 1

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

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

Calls

3 calls:

57.0ms	y
34.0ms	z
31.0ms	x

Results

Error	Segments	Branch
23.6b	3	`x`
26.1b	7	`y`
19.2b	8	`z`

Compiler

Compiled 28 to 18 computations (35.7% saved)

bsearch246.0ms (2.7%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
37.0ms	8.041236063251869e+154	1.152671998164954e+157
44.0ms	9.990315517203596e+104	5.539488708408122e+105
40.0ms	249170112585.27737	3.9290823307077834e+34
24.0ms	1.263832731022775e-26	2.0694753977958858e-20
34.0ms	2.715662097921712e-157	3.210208656391129e-153
34.0ms	3.8222155989673045e-176	4.96718999444742e-170
33.0ms	-14518.540134787778	-1.9783655224905137e-7

Compiler

Compiled 270 to 209 computations (22.6% saved)

regimes66.0ms (0.7%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	y
20.0ms	z
13.0ms	x

Results

Error	Segments	Branch
23.6b	3	`x`
26.1b	7	`y`
22.4b	5	`z`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch126.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
51.0ms	1.263832731022775e-26	2.0694753977958858e-20
36.0ms	2.715662097921712e-157	3.210208656391129e-153
18.0ms	3.8222155989673045e-176	4.96718999444742e-170
21.0ms	-7155596025991.485	-1595283800.7036858

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes61.0ms (0.7%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

3 calls:

44.0ms	y
8.0ms	x
7.0ms	z

Results

Error	Segments	Branch
34.0b	1	`x`
34.0b	1	`y`
34.0b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
6×	`+-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	83	713
1	104	713
2	109	713
3	111	713
4	112	713

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
(if (<=.f64 z -997706481033231/68719476736) (.f64 6 (.f64 z (-.f64 y x))) (if (<=.f64 z 5198839506044175/151115727451828646838272) (+.f64 x (.f64 6 (.f64 y z))) (.f64 (-.f64 y x) (.f64 6 z))))
(if (<=.f64 z -7327330330615281/1024) (.f64 6 (.f64 z (-.f64 y x))) (if (<=.f64 z 174386316980375776/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (+.f64 x (.f64 (.f64 -6 x) z)) (if (<=.f64 z 67166579694427032/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) (+.f64 (.f64 -6 (.f64 z x)) x) (.f64 (-.f64 y x) (.f64 6 z))))))
(if (<=.f64 z -7327330330615281/1024) (.f64 6 (.f64 z (-.f64 y x))) (if (<=.f64 z 174386316980375776/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (+.f64 (.f64 -6 (.f64 z x)) x) (if (<=.f64 z 67166579694427032/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) (+.f64 (.f64 -6 (.f64 z x)) x) (.f64 (-.f64 y x) (.f64 6 z))))))
(if (<=.f64 z -7327330330615281/1024) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 174386316980375776/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (+.f64 (.f64 -6 (.f64 z x)) x) (if (<=.f64 z 67166579694427032/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) (+.f64 (.f64 -6 (.f64 z x)) x) (.f64 (-.f64 y x) (.f64 6 z))))))
(if (<=.f64 z -5299391028968223/2535301200456458802993406410752) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 174386316980375776/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) x (if (<=.f64 z 67166579694427032/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) x (.f64 (-.f64 y x) (.f64 6 z))))))
(if (<=.f64 z -997706481033231/68719476736) (.f64 z (.f64 -6 x)) (if (<=.f64 z 174386316980375776/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) x (if (<=.f64 z 67166579694427032/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) x (if (<=.f64 z 102182018409651853328384) (.f64 z (.f64 6 y)) (if (<=.f64 z 5499999999999999787735403059956262363576506030182819696336063773084808869794076509651344136480039540621312) (.f64 x (.f64 z -6)) (if (<=.f64 z 82000000000000000350280473177449335039407989206370129864503272089905160584961730437666735798354243735390707029017299788782603778126863580020623334350782464) (.f64 y (.f64 6 z)) (.f64 x (.f64 z -6)))))))))
(if (<=.f64 z -997706481033231/68719476736) (.f64 z (.f64 -6 x)) (if (<=.f64 z 174386316980375776/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) x (if (<=.f64 z 67166579694427032/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) x (if (<=.f64 z 102182018409651853328384) (.f64 6 (.f64 y z)) (if (<=.f64 z 5499999999999999787735403059956262363576506030182819696336063773084808869794076509651344136480039540621312) (.f64 x (.f64 z -6)) (if (<=.f64 z 82000000000000000350280473177449335039407989206370129864503272089905160584961730437666735798354243735390707029017299788782603778126863580020623334350782464) (.f64 y (.f64 6 z)) (.f64 x (.f64 z -6)))))))))
(if (<=.f64 z -997706481033231/68719476736) (.f64 z (.f64 -6 x)) (if (<=.f64 z 174386316980375776/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) x (if (<=.f64 z 67166579694427032/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) x (if (<=.f64 z 102182018409651853328384) (.f64 y (.f64 6 z)) (if (<=.f64 z 5499999999999999787735403059956262363576506030182819696336063773084808869794076509651344136480039540621312) (.f64 x (.f64 z -6)) (if (<=.f64 z 82000000000000000350280473177449335039407989206370129864503272089905160584961730437666735798354243735390707029017299788782603778126863580020623334350782464) (.f64 y (.f64 6 z)) (.f64 x (.f64 z -6)))))))))
(if (<=.f64 z -997706481033231/68719476736) (.f64 x (.f64 z -6)) (if (<=.f64 z 174386316980375776/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) x (if (<=.f64 z 67166579694427032/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) x (if (<=.f64 z 102182018409651853328384) (.f64 y (.f64 6 z)) (if (<=.f64 z 5499999999999999787735403059956262363576506030182819696336063773084808869794076509651344136480039540621312) (.f64 x (.f64 z -6)) (if (<=.f64 z 82000000000000000350280473177449335039407989206370129864503272089905160584961730437666735798354243735390707029017299788782603778126863580020623334350782464) (.f64 y (.f64 6 z)) (.f64 x (.f64 z -6)))))))))
(if (<=.f64 z -7327330330615281/1024) (.f64 y (.f64 6 z)) (if (<=.f64 z 174386316980375776/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) x (if (<=.f64 z 67166579694427032/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) x (.f64 y (.f64 6 z))))))
x

Outputs
(+.f64 (.f64 (-.f64 y x) (.f64 6 z)) x)
(+.f64 x (.f64 (-.f64 y x) (.f64 6 z)))
(if (<=.f64 z -997706481033231/68719476736) (.f64 6 (.f64 z (-.f64 y x))) (if (<=.f64 z 5198839506044175/151115727451828646838272) (+.f64 x (.f64 6 (.f64 y z))) (.f64 (-.f64 y x) (.f64 6 z))))
(if (<=.f64 z -997706481033231/68719476736) (.f64 6 (.f64 (-.f64 y x) z)) (if (<=.f64 z 5198839506044175/151115727451828646838272) (+.f64 x (.f64 6 (.f64 y z))) (.f64 (-.f64 y x) (.f64 6 z))))
(if (<=.f64 z -7327330330615281/1024) (.f64 6 (.f64 z (-.f64 y x))) (if (<=.f64 z 174386316980375776/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (+.f64 x (.f64 (.f64 -6 x) z)) (if (<=.f64 z 67166579694427032/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) (+.f64 (.f64 -6 (.f64 z x)) x) (.f64 (-.f64 y x) (.f64 6 z))))))
(if (<=.f64 z -7327330330615281/1024) (.f64 6 (.f64 (-.f64 y x) z)) (if (<=.f64 z 5449572405636743/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) (+.f64 x (.f64 z (.f64 x -6))) (if (<=.f64 z 8395822461803379/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) (+.f64 x (.f64 -6 (.f64 x z))) (.f64 (-.f64 y x) (.f64 6 z))))))
(if (<=.f64 z -7327330330615281/1024) (.f64 6 (.f64 z (-.f64 y x))) (if (<=.f64 z 174386316980375776/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (+.f64 (.f64 -6 (.f64 z x)) x) (if (<=.f64 z 67166579694427032/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) (+.f64 (.f64 -6 (.f64 z x)) x) (.f64 (-.f64 y x) (.f64 6 z))))))
(if (<=.f64 z -7327330330615281/1024) (.f64 6 (.f64 (-.f64 y x) z)) (if (<=.f64 z 5449572405636743/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) (+.f64 x (.f64 -6 (.f64 x z))) (if (<=.f64 z 8395822461803379/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) (+.f64 x (.f64 -6 (.f64 x z))) (.f64 (-.f64 y x) (.f64 6 z))))))
(if (<=.f64 z -7327330330615281/1024) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 174386316980375776/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (+.f64 (.f64 -6 (.f64 z x)) x) (if (<=.f64 z 67166579694427032/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) (+.f64 (.f64 -6 (.f64 z x)) x) (.f64 (-.f64 y x) (.f64 6 z))))))
(if (<=.f64 z -7327330330615281/1024) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 5449572405636743/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) (+.f64 x (.f64 -6 (.f64 x z))) (if (<=.f64 z 8395822461803379/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) (+.f64 x (.f64 -6 (.f64 x z))) (.f64 (-.f64 y x) (.f64 6 z))))))
(if (<=.f64 z -5299391028968223/2535301200456458802993406410752) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 174386316980375776/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) x (if (<=.f64 z 67166579694427032/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) x (.f64 (-.f64 y x) (.f64 6 z))))))
(if (<=.f64 z -5299391028968223/2535301200456458802993406410752) (.f64 (-.f64 y x) (.f64 6 z)) (if (<=.f64 z 5449572405636743/142576269300693600582536612678134103902913390851517497830599766184352348975271168328309775353667856243082572174174825228459022022542982437445395666241319193382874833573758279690089818507706368) x (if (<=.f64 z 8395822461803379/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (.f64 y (.f64 6 z)) (if (<=.f64 z 8807628658781873/696898287454081973172991196020261297061888) x (.f64 (-.f64 y x) (.f64 6 z))))))
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x

Compiler

Compiled 532 to 345 computations (35.2% saved)

soundness149.0ms (1.6%)

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)

end417.0ms (4.5%)

Compiler: Compiled 499 to 302 computations (39.5% saved)