Details

analyze232.0ms (6.2%)

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
18.7%	81.1%	0.1%	9
28.1%	71.8%	0.1%	10
32.8%	67.1%	0.1%	11
39.8%	60.1%	0.1%	12

Compiler

Compiled 19 to 10 computations (47.4% saved)

sample2.2s (60.4%)

Results

1.1s	6296×	body	256	valid
362.0ms	1845×	body	256	invalid
232.0ms	571×	body	512	valid
232.0ms	854×	body	1024	valid
167.0ms	535×	body	2048	valid
64.0ms	244×	body	512	invalid
36.0ms	155×	body	1024	invalid

preprocess49.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

650×	`sub-neg_binary64`
521×	`fma-def_binary64`
344×	`unsub-neg_binary64`
310×	`distribute-rgt-neg-in_binary64`
290×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	76
1	96	44
2	331	40
3	1035	28
4	4554	28
5	6943	28
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

Outputs
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(+.f64 (.f64 y (-.f64 x y)) (-.f64 (.f64 y y) (*.f64 y z)))
(-.f64 (fma.f64 x y 0) (*.f64 y z))
(-.f64 (.f64 x y) (.f64 y z))
(*.f64 y (-.f64 x z))
(-.f64 (+.f64 (-.f64 (.f64 y x) (.f64 x x)) (.f64 x x)) (.f64 x z))
(+.f64 (.f64 x (-.f64 y x)) (-.f64 (.f64 x x) (*.f64 x z)))
(-.f64 (fma.f64 x y 0) (*.f64 x z))
(-.f64 (.f64 x y) (.f64 x z))
(*.f64 x (-.f64 y z))
(-.f64 (+.f64 (-.f64 (.f64 z y) (.f64 y y)) (.f64 y y)) (.f64 y x))
(+.f64 (.f64 y (-.f64 z y)) (-.f64 (.f64 y y) (*.f64 x y)))
(-.f64 (fma.f64 y z 0) (*.f64 x y))
(-.f64 (.f64 y z) (.f64 x y))
(*.f64 y (-.f64 z x))
(-.f64 (+.f64 (-.f64 (.f64 x z) (.f64 z z)) (.f64 z z)) (.f64 z y))
(+.f64 (.f64 z (-.f64 x z)) (-.f64 (.f64 z z) (*.f64 y z)))
(-.f64 (fma.f64 x z 0) (*.f64 y z))
(-.f64 (.f64 x z) (.f64 y z))
(*.f64 z (-.f64 x y))

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify109.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1476×	`distribute-rgt-out--_binary64`
579×	`unsub-neg_binary64`
399×	`sub-neg_binary64`
371×	`distribute-rgt-neg-in_binary64`
328×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	29	11
2	97	10
3	278	7
4	905	7
5	2941	7
6	4622	7
7	5573	7
8	6214	7
9	6547	7
10	6722	7
11	6747	7
12	6747	7
13	6747	7

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(+.f64 (.f64 y (-.f64 x y)) (-.f64 (.f64 y y) (*.f64 y z)))
(-.f64 (fma.f64 x y 0) (*.f64 y z))
(*.f64 y (-.f64 (-.f64 x 0) z))
(*.f64 y (-.f64 x z))

eval1.0ms (0%)

Compiler: Compiled 23 to 11 computations (52.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite37.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1780	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify22.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

217×	`fma-def_binary64`
132×	`fma-neg_binary64`
41×	`cancel-sign-sub-inv_binary64`
25×	`distribute-rgt-in_binary64`
25×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	210
1	18	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Stop Event

1×

saturated

Counts

43 → 25

Calls

Call 1

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

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

eval4.0ms (0.1%)

Compiler: Compiled 221 to 88 computations (60.2% saved)

prune5.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Error

0.0b

Counts

26 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.2b	(*.f64 y (neg.f64 z))
✓	0.0b	(*.f64 y (-.f64 x z))
▶	0.0b	(+.f64 (.f64 x y) (.f64 (neg.f64 z) y))
▶	32.3b	(*.f64 y x)

Compiler

Compiled 32 to 21 computations (34.4% saved)

localize3.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite149.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`pow1_binary64`
773×	`add-log-exp_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	176	7
2	2561	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

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

Outputs

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

simplify19.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

142×	`fma-def_binary64`
108×	`fma-neg_binary64`
32×	`unsub-neg_binary64`
30×	`cancel-sign-sub-inv_binary64`
28×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	330
1	48	240
2	100	240
3	175	240
4	311	240
5	493	240
6	608	240
7	649	240

Stop Event

1×

saturated

Counts

80 → 52

Calls

Call 1

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

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

localize4.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

eval99.0ms (2.7%)

Compiler: Compiled 616 to 204 computations (66.9% saved)

prune8.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	52	4	56

Error

0.0b

Counts

56 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.2b	(*.f64 y (neg.f64 z))
✓	0.0b	(*.f64 y (-.f64 x z))
✓	32.3b	(*.f64 y x)
▶	0.0b	(-.f64 (.f64 x y) (.f64 y z))

Compiler

Compiled 31 to 20 computations (35.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`pow1_binary64`
812×	`add-log-exp_binary64`
812×	`log1p-expm1-u_binary64`
812×	`expm1-log1p-u_binary64`
795×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	160	7
2	2221	7

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

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

simplify22.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

118×	`fma-def_binary64`
80×	`fma-neg_binary64`
34×	`unsub-neg_binary64`
28×	`distribute-rgt-in_binary64`
26×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	330
1	44	240
2	97	240
3	241	240
4	400	240
5	519	240
6	588	240
7	593	240

Stop Event

1×

saturated

Counts

85 → 56

Calls

Call 1

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

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

eval9.0ms (0.2%)

Compiler: Compiled 828 to 206 computations (75.1% saved)

prune20.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	55	5	60

Error

Counts

60 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.3b	(*.f64 y x)
▶	26.0b	(/.f64 1 (/.f64 (.f64 y (+.f64 x z)) (.f64 (.f64 y (+.f64 x z)) (.f64 y (-.f64 x z)))))
✓	28.2b	(*.f64 y (neg.f64 z))
✓	0.0b	(*.f64 y (-.f64 x z))
✓	0.0b	(-.f64 (.f64 x y) (.f64 y z))

Compiler

Compiled 53 to 31 computations (41.5% saved)

localize16.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(/.f64 1 (/.f64 (.f64 y (+.f64 x z)) (.f64 (.f64 y (+.f64 x z)) (.f64 y (-.f64 x z)))))
	0.3b	(.f64 (.f64 y (+.f64 x z)) (*.f64 y (-.f64 x z)))
	0.0b	(*.f64 y (-.f64 x z))
	0.0b	(*.f64 y (+.f64 x z))
	0.0b	(*.f64 y (-.f64 x z))
✓	0.3b	(.f64 (.f64 y (+.f64 x z)) (*.f64 y (-.f64 x z)))
✓	0.5b	(/.f64 1 (/.f64 (.f64 y (+.f64 x z)) (.f64 (.f64 y (+.f64 x z)) (.f64 y (-.f64 x z)))))
✓	24.5b	(/.f64 (.f64 y (+.f64 x z)) (.f64 (.f64 y (+.f64 x z)) (.f64 y (-.f64 x z))))

Compiler

Compiled 70 to 12 computations (82.9% saved)

series27.0ms (0.7%)

Counts

3 → 108

Calls

27 calls:

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

rewrite89.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`prod-diff_binary64`
344×	`fma-def_binary64`
232×	`expm1-udef_binary64`
232×	`log1p-udef_binary64`
230×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	277	33
2	4583	33

Stop Event

1×	node limit

Counts

3 → 200

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

762×	`associate-*l/_binary64`
481×	`cancel-sign-sub-inv_binary64`
438×	`associate-/l/_binary64`
370×	`unswap-sqr_binary64`
287×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1557
1	266	1542
2	912	1497
3	3168	1449

Stop Event

1×	node limit

Counts

308 → 237

Calls

Call 1

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

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

eval76.0ms (2.1%)

Compiler: Compiled 5163 to 1535 computations (70.3% saved)

prune49.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	261	1	262
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	262	5	267

Error

Counts

267 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.2b	(*.f64 y (neg.f64 z))
✓	0.0b	(*.f64 y (-.f64 x z))
	0.4b	(/.f64 1 (/.f64 1 (*.f64 y (-.f64 x z))))
✓	0.0b	(-.f64 (.f64 x y) (.f64 y z))
✓	32.3b	(*.f64 y x)

Compiler

Compiled 43 to 29 computations (32.6% saved)

regimes35.0ms (0.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	z
5.0ms	x
4.0ms	y

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`

Compiler

Compiled 43 to 24 computations (44.2% saved)

regimes74.0ms (2%)

Accuracy

Total -47.0b remaining (-365.8%)

Threshold costs -47.0b (-365.8%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y (neg.f64 z))

Outputs
(*.f64 y (neg.f64 z))
(*.f64 y x)
(*.f64 y (neg.f64 z))

Calls

3 calls:

57.0ms	y
9.0ms	x
8.0ms	z

Results

Error	Segments	Branch
15.0b	3	`x`
22.6b	7	`y`
12.9b	3	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch128.0ms (3.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.00020529748928711238	18.320841449973816
100.0ms	-1.4184690589571298e-64	-2.812193979780936e-72

Compiler

Compiled 24 to 14 computations (41.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	26	39
2	35	39
3	41	39
4	44	39
5	45	39

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 z -4204735893891479/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (*.f64 y (neg.f64 z)) (if (<=.f64 z 7574140487708981/36893488147419103232) (*.f64 y x) (*.f64 y (neg.f64 z))))

(*.f64 y x)

Outputs
(*.f64 y (-.f64 x z))
(if (<=.f64 z -4204735893891479/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (.f64 y (neg.f64 z)) (if (<=.f64 z 7574140487708981/36893488147419103232) (.f64 y x) (*.f64 y (neg.f64 z))))
(if (<=.f64 z -4204735893891479/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (.f64 (neg.f64 y) z) (if (<=.f64 z 7574140487708981/36893488147419103232) (.f64 y x) (*.f64 (neg.f64 y) z)))
(if (<=.f64 z -4204735893891479/29642774844752946028434172162224104410437116074403984394101141506025761187823616) (.f64 z (neg.f64 y)) (if (<=.f64 z 7574140487708981/36893488147419103232) (.f64 y x) (*.f64 z (neg.f64 y))))
(*.f64 y x)

end39.0ms (1%)

Stop Event

1×

fuel

Compiler

Compiled 66 to 35 computations (47% saved)

Iter	Nodes	Cost
0	10	210
1	18	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Iter	Nodes	Cost
0	10	210
1	18	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Details

analyze232.0ms (6.2%)

sample2.2s (60.4%)

preprocess49.0ms (1.3%)

simplify109.0ms (2.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite37.0ms (1%)

simplify22.0ms (0.6%)

eval4.0ms (0.1%)

prune5.0ms (0.1%)

localize3.0ms (0.1%)

localize8.0ms (0.2%)

series5.0ms (0.1%)

rewrite149.0ms (4%)

simplify19.0ms (0.5%)

localize4.0ms (0.1%)

eval99.0ms (2.7%)

prune8.0ms (0.2%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite56.0ms (1.5%)

simplify22.0ms (0.6%)

eval9.0ms (0.2%)

prune20.0ms (0.5%)

localize16.0ms (0.4%)

series27.0ms (0.7%)

rewrite89.0ms (2.4%)

simplify56.0ms (1.5%)

eval76.0ms (2.1%)

prune49.0ms (1.3%)

regimes35.0ms (0.9%)

regimes74.0ms (2%)

bsearch128.0ms (3.4%)

simplify3.0ms (0.1%)

end39.0ms (1%)

Profiling

Iter	Nodes	Cost
0	10	210
1	18	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156