Details

analyze288.0ms (4.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	9
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	10
32.8%	32.8%	67.1%	0.1%	0%	0%	0%	11
39.8%	39.8%	60.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 19 to 10 computations (47.4% saved)

sample2.1s (34.1%)

Results

916.0ms	6298×	body	256	valid
388.0ms	871×	body	1024	valid
240.0ms	1678×	body	256	infinite
230.0ms	508×	body	2048	valid
139.0ms	579×	body	512	valid
92.0ms	290×	body	512	infinite
72.0ms	203×	body	1024	infinite

Bogosity

preprocess142.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

930×	`fma-neg_binary64`
628×	`unsub-neg_binary64`
492×	`sub-neg_binary64`
463×	`fma-def_binary64`
337×	`distribute-rgt-out--_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	70
1	96	58
2	319	52
3	945	28
4	2469	28
5	6580	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 z)) (.f64 y y))
(-.f64 (-.f64 (+.f64 (.f64 y x) (.f64 x x)) (.f64 x z)) (.f64 x x))
(-.f64 (-.f64 (+.f64 (.f64 z y) (.f64 y y)) (.f64 y x)) (.f64 y y))
(-.f64 (-.f64 (+.f64 (.f64 x z) (.f64 z z)) (.f64 z y)) (.f64 z z))

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

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify175.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

860×	`unsub-neg_binary64`
542×	`*-commutative_binary64`
462×	`associate--l-_binary64`
461×	`distribute-lft-out_binary64`
408×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	29	16
2	89	13
3	259	7
4	688	7
5	2343	7
6	4176	7
7	4614	7
8	5098	7
9	5363	7
10	5453	7
11	6050	7
12	7240	7
13	7862	7

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

Outputs
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(-.f64 (.f64 y (+.f64 x y)) (+.f64 (.f64 y z) (*.f64 y y)))
(-.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (+.f64 x y) (+.f64 y 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 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series232.0ms (3.7%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
228.0ms	x	@	-inf	(*.f64 y (-.f64 x z))
1.0ms	y	@	0	(*.f64 y (-.f64 x z))
1.0ms	y	@	-inf	(*.f64 y (-.f64 x z))
1.0ms	z	@	0	(*.f64 y (-.f64 x z))
1.0ms	y	@	inf	(*.f64 y (-.f64 x z))

rewrite68.0ms (1.1%)

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	1784	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 expm1.f64 (log1p.f64 (.f64 y (-.f64 x z))))))) (#(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))))))))

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 expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))))) (#(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))))))))

simplify32.0ms (0.5%)

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 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 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 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)

prune6.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	5	26

Error

Counts

26 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.8b	(*.f64 y x)
▶	27.7b	(*.f64 y (neg.f64 z))
✓	0.0b	(*.f64 y (-.f64 x z))
▶	31.2b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 z z)) y) (+.f64 x z))
▶	0.0b	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))

Compiler

Compiled 48 to 30 computations (37.5% saved)

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series8.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
2.0ms	y	@	0	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
1.0ms	y	@	inf	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
1.0ms	x	@	0	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
0.0ms	z	@	0	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))

rewrite68.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
772×	`add-log-exp_binary64`
771×	`log1p-expm1-u_binary64`
771×	`expm1-log1p-u_binary64`
755×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	176	7
2	2564	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

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

Outputs

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

simplify28.0ms (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	270
1	48	240
2	100	240
3	174	240
4	310	240
5	487	240
6	601	240
7	642	240

Stop Event

1×

saturated

Counts

80 → 52

Calls

Call 1

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

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	3.7b	(-.f64 (.f64 x x) (.f64 z z))
✓	9.0b	(.f64 (-.f64 (.f64 x x) (*.f64 z z)) y)
✓	20.5b	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 z z)) y) (+.f64 x z))

Compiler

Compiled 44 to 9 computations (79.5% saved)

series47.0ms (0.8%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
33.0ms	z	@	inf	(-.f64 (.f64 x x) (.f64 z z))
2.0ms	x	@	inf	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 z z)) y) (+.f64 x z))
1.0ms	y	@	0	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 z z)) y) (+.f64 x z))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 z z)) y) (+.f64 x z))
1.0ms	y	@	inf	(/.f64 (.f64 (-.f64 (.f64 x x) (*.f64 z z)) y) (+.f64 x z))

rewrite369.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log-prod_binary64`
538×	`fma-def_binary64`
311×	`pow2_binary64`
247×	`fma-neg_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	233	30
2	3593	30

Stop Event

1×	node limit

Counts

3 → 286

Calls

Call 1

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

Outputs

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

simplify119.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

592×	`associate-/r*_binary64`
563×	`associate-l_binary64`
381×	`associate-r_binary64`
330×	`associate-*l/_binary64`
295×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	1068
1	56	978
2	110	888
3	248	888
4	829	888
5	3523	888

Stop Event

1×	node limit

Counts

382 → 306

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

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

eval145.0ms (2.3%)

Compiler: Compiled 7204 to 1904 computations (73.6% saved)

prune276.0ms (4.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	356	2	358
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	358	5	363

Error

Counts

363 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.7b	(*.f64 y (neg.f64 z))
▶	0.0b	(-.f64 (.f64 y x) (.f64 y z))
▶	45.0b	(/.f64 (.f64 (.f64 x x) y) (+.f64 x z))
✓	30.8b	(*.f64 y x)
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 43 to 27 computations (37.2% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite194.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`pow1_binary64`
836×	`add-log-exp_binary64`
836×	`log1p-expm1-u_binary64`
836×	`expm1-log1p-u_binary64`
819×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	162	7
2	2300	7

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify173.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	240
1	44	240
2	97	240
3	243	240
4	411	240
5	531	240
6	600	240
7	605	240

Stop Event

1×

saturated

Counts

89 → 59

Calls

Call 1

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

localize21.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	8.7b	(.f64 (.f64 x x) y)
✓	10.7b	(/.f64 (.f64 (.f64 x x) y) (+.f64 x z))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series30.0ms (0.5%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
15.0ms	x	@	0	(.f64 (.f64 x x) y)
2.0ms	y	@	0	(/.f64 (.f64 (.f64 x x) y) (+.f64 x z))
2.0ms	x	@	0	(/.f64 (.f64 (.f64 x x) y) (+.f64 x z))
1.0ms	z	@	inf	(/.f64 (.f64 (.f64 x x) y) (+.f64 x z))
1.0ms	y	@	-inf	(/.f64 (.f64 (.f64 x x) y) (+.f64 x z))

rewrite204.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`prod-diff_binary64`
512×	`log-prod_binary64`
348×	`pow-prod-down_binary64`
245×	`pow2_binary64`
225×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	178	20
2	2694	20

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

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

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

703×	`associate-l_binary64`
692×	`fma-neg_binary64`
579×	`associate-*l/_binary64`
552×	`cancel-sign-sub-inv_binary64`
485×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	960
1	136	933
2	419	828
3	2052	801

Stop Event

1×	node limit

Counts

139 → 98

Calls

Call 1

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

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

eval79.0ms (1.3%)

Compiler: Compiled 2263 to 710 computations (68.6% saved)

prune54.0ms (0.9%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	157	5	162

Error

Counts

162 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.7b	(*.f64 y (neg.f64 z))
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	45.0b	(/.f64 (.f64 (.f64 x x) y) (+.f64 x z))
✓	30.8b	(*.f64 y x)
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 43 to 27 computations (37.2% saved)

regimes66.0ms (1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	z
12.0ms	y
12.0ms	x
10.0ms	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))`

Compiler

Compiled 97 to 42 computations (56.7% saved)

regimes26.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	z
8.0ms	x
8.0ms	y

Results

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

Compiler

Compiled 27 to 17 computations (37% saved)

regimes208.0ms (3.3%)

Accuracy

Total -45.5b remaining (-376%)

Threshold costs -45.5b (-376%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

100.0ms	y
58.0ms	z
48.0ms	x

Results

Error	Segments	Branch
12.1b	5	`x`
20.7b	9	`y`
12.9b	3	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch455.0ms (7.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
28.0ms	4.1190197606476113e-29	1.4974632158723581e-25
37.0ms	-1.8484348030003095e-157	-1.9797356307769575e-169
180.0ms	-9.518943222976536e-76	-6.919422647435563e-76
210.0ms	-1.0955426568082109e-17	-7.538331857177924e-20

Compiler

Compiled 24 to 14 computations (41.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	69
1	39	69
2	48	69
3	53	69
4	55	69

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(if (<=.f64 x -7110478369170215/649037107316853453566312041152512) (.f64 y x) (if (<=.f64 x -7756171920755419/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (.f64 y (neg.f64 z)) (if (<=.f64 x -714334565504571/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) (.f64 y x) (if (<=.f64 x 3674288405996599/89202980794122492566142873090593446023921664) (.f64 y (neg.f64 z)) (*.f64 y x)))))
(*.f64 y x)

Outputs
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(if (<=.f64 x -7110478369170215/649037107316853453566312041152512) (.f64 y x) (if (<=.f64 x -7756171920755419/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (.f64 y (neg.f64 z)) (if (<=.f64 x -714334565504571/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424) (.f64 y x) (if (<=.f64 x 3674288405996599/89202980794122492566142873090593446023921664) (.f64 y (neg.f64 z)) (*.f64 y x)))))
(*.f64 y x)

Compiler

Compiled 60 to 33 computations (45% saved)

soundness282.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

860×	`unsub-neg_binary64`
542×	`*-commutative_binary64`
462×	`associate--l-_binary64`
461×	`distribute-lft-out_binary64`
408×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	29	16
2	89	13
3	259	7
4	688	7
5	2343	7
6	4176	7
7	4614	7
8	5098	7
9	5363	7
10	5453	7
11	6050	7
12	7240	7
13	7862	7

Stop Event

1×	node limit

Compiler

Compiled 130 to 70 computations (46.2% saved)

end197.0ms (3.2%)

Compiler: Compiled 51 to 22 computations (56.9% 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

analyze288.0ms (4.6%)

sample2.1s (34.1%)

preprocess142.0ms (2.3%)

simplify175.0ms (2.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series232.0ms (3.7%)

rewrite68.0ms (1.1%)

simplify32.0ms (0.5%)

eval4.0ms (0.1%)

prune6.0ms (0.1%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

series8.0ms (0.1%)

rewrite68.0ms (1.1%)

simplify28.0ms (0.5%)

localize12.0ms (0.2%)

series47.0ms (0.8%)

rewrite369.0ms (5.9%)

simplify119.0ms (1.9%)

eval145.0ms (2.3%)

prune276.0ms (4.4%)

localize13.0ms (0.2%)

series5.0ms (0.1%)

rewrite194.0ms (3.1%)

simplify173.0ms (2.8%)

localize21.0ms (0.3%)

series30.0ms (0.5%)

rewrite204.0ms (3.3%)

simplify57.0ms (0.9%)

eval79.0ms (1.3%)

prune54.0ms (0.9%)

regimes66.0ms (1%)

regimes26.0ms (0.4%)

regimes208.0ms (3.3%)

bsearch455.0ms (7.3%)

simplify9.0ms (0.1%)

soundness282.0ms (4.5%)

end197.0ms (3.2%)

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