Details

analyze418.0ms (6.8%)

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)

sample3.1s (50.2%)

Results

1.6s	6319×	body	256	valid
339.0ms	842×	body	1024	valid
315.0ms	1745×	body	256	invalid
280.0ms	594×	body	512	valid
263.0ms	500×	body	2048	valid
133.0ms	298×	body	512	invalid
76.0ms	225×	body	1024	invalid
0.0ms	1×	body	4096	valid

preprocess65.0ms (1.1%)

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)

simplify120.0ms (1.9%)

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

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.9b	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
▶	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 26 to 14 computations (46.2% 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)

series5.0ms (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))
1.0ms	x	@	inf	(*.f64 y (-.f64 x z))
1.0ms	y	@	-inf	(*.f64 y (-.f64 x z))
1.0ms	z	@	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))))))))

simplify28.0ms (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))

localize63.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 y y)) (*.f64 y z))
✓	0.0b	(+.f64 (.f64 x y) (.f64 y y))
✓	13.0b	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Compiler

Compiled 48 to 9 computations (81.3% saved)

series10.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

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

rewrite102.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`log-prod_binary64`
545×	`fma-neg_binary64`
335×	`pow2_binary64`
227×	`pow1/3_binary64`
225×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	241	33
2	3852	33

Stop Event

1×	node limit

Counts

3 → 224

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (-.f64 (.f64 y y) (.f64 y (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (-.f64 (.f64 y (-.f64 y z)) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (+.f64 (.f64 y (-.f64 y z)) (neg.f64 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y y) (-.f64 (.f64 x y) (.f64 y (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (+.f64 x y)) (neg.f64 (.f64 y (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (+.f64 x y)) (fma.f64 z (neg.f64 y) (neg.f64 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (+.f64 x y)) (+.f64 (.f64 z (neg.f64 y)) (neg.f64 (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (-.f64 (+.f64 x y) z)) (neg.f64 (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (-.f64 (+.f64 x y) z)) (.f64 (neg.f64 (.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> 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Outputs

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

simplify157.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1362×	`fma-def_binary64`
758×	`fma-neg_binary64`
361×	`distribute-rgt-neg-in_binary64`
260×	`unswap-sqr_binary64`
256×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	27	932
1	79	709
2	171	709
3	445	709
4	1229	709
5	2884	709
6	4449	709
7	5439	709
8	5989	709
9	6514	699
10	7555	699

Stop Event

1×	node limit

Counts

320 → 244

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

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

eval62.0ms (1%)

Compiler: Compiled 4996 to 1363 computations (72.7% saved)

prune42.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	265	4	269
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	266	5	271

Error

Counts

271 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.1b	(*.f64 y (neg.f64 z))
✓	0.0b	(*.f64 y (-.f64 x z))
▶	43.1b	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))
▶	0.0b	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
▶	27.6b	(*.f64 y x)

Compiler

Compiled 53 to 34 computations (35.8% saved)

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize9.0ms (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)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (0.9%)

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))))))

simplify30.0ms (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))

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(fma.f64 x x (*.f64 z (+.f64 x z)))
✓	3.1b	(-.f64 (pow.f64 x 3) (pow.f64 z 3))
✓	6.4b	(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)
✓	37.0b	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))

Compiler

Compiled 63 to 29 computations (54% saved)

series21.0ms (0.3%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))
2.0ms	y	@	0	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))
2.0ms	x	@	0	(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)
1.0ms	x	@	-inf	(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)
1.0ms	z	@	-inf	(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)

rewrite96.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`log-prod_binary64`
477×	`fma-def_binary64`
256×	`expm1-udef_binary64`
256×	`log1p-udef_binary64`
239×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	303	41
2	4253	41

Stop Event

1×	node limit

Counts

4 → 205

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)
(-.f64 (pow.f64 x 3) (pow.f64 z 3))
(fma.f64 x x (*.f64 z (+.f64 x z)))

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)) 2) (hypot.f64 x (hypot.f64 z (sqrt.f64 (.f64 x z))))) (/.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)) (hypot.f64 x (hypot.f64 z (sqrt.f64 (.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 x z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 x z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 x z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (-.f64 x z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 (-.f64 x z) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (.f64 (-.f64 x z) y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (neg.f64 (fma.f64 x x (.f64 z (+.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (-.f64 x z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 x z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (-.f64 x z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) 3) (pow.f64 (fma.f64 x x (.f64 z (+.f64 x z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (-.f64 x z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (-.f64 x z) y)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) y) (.f64 (neg.f64 (pow.f64 z 3)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (pow.f64 x 3)) (.f64 y (neg.f64 (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))) (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 (pow.f64 x 3) (pow.f64 z 3)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 (pow.f64 x 3) (pow.f64 z 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 (pow.f64 x 3) (pow.f64 z 3))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 (pow.f64 x 3) (pow.f64 z 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 9) (pow.f64 z 9)) y) (+.f64 (+.f64 (pow.f64 x 6) (pow.f64 z 6)) (pow.f64 (.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 z 6)) y) (+.f64 (pow.f64 x 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (-.f64 (pow.f64 x 9) (pow.f64 z 9))) (+.f64 (+.f64 (pow.f64 x 6) (pow.f64 z 6)) (pow.f64 (.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (-.f64 (pow.f64 x 6) (pow.f64 z 6))) (+.f64 (pow.f64 x 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 (pow.f64 x 3) (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) y (.f64 (neg.f64 (pow.f64 z 3)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (pow.f64 x 3) (*.f64 y (neg.f64 (pow.f64 z 3))))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (+.f64 x z)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 z (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x x (.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (.f64 z z)) (.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 1) (.f64 z (+.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (.f64 x z)) (.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x x (.f64 z (+.f64 x z))))) (cbrt.f64 (exp.f64 (fma.f64 x x (.f64 z (+.f64 x z))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x (.f64 z (+.f64 x z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x (.f64 z (+.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x x (.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x x (.f64 z (+.f64 x z)))) (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 z (+.f64 x z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 z (+.f64 x z)))) 2) (cbrt.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 x (hypot.f64 z (sqrt.f64 (.f64 x z)))) (hypot.f64 x (hypot.f64 z (sqrt.f64 (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 z (+.f64 x z)) 3)) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 (pow.f64 (.f64 z (+.f64 x z)) 2) (.f64 (.f64 x x) (.f64 z (+.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (pow.f64 (.f64 z (+.f64 x z)) 2)) (-.f64 (.f64 x x) (.f64 z (+.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x (.f64 z (+.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x (.f64 z (+.f64 x z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x (.f64 z (+.f64 x z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (hypot.f64 z (sqrt.f64 (.f64 x z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x (.f64 z (+.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x (.f64 z (+.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 z) (+.f64 x z)) (exp.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (+.f64 x z)))) (exp.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 x x)) (+.f64 1 (expm1.f64 (.f64 z (+.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x (.f64 z (+.f64 x z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x (.f64 z (+.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x x (.f64 z (+.f64 x z)))) 1))))))

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

877×	`associate-/l*_binary64`
862×	`fma-neg_binary64`
778×	`fma-def_binary64`
370×	`associate-/l/_binary64`
224×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	1461
1	314	1368
2	1250	1314
3	4626	1314

Stop Event

1×	node limit

Counts

325 → 246

Calls

Call 1

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

eval95.0ms (1.5%)

Compiler: Compiled 6365 to 2889 computations (54.6% saved)

prune49.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	296	2	298
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	298	5	303

Error

Counts

303 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))
▶	50.0b	(/.f64 (.f64 (pow.f64 x 3) y) (fma.f64 x x (.f64 z (+.f64 x z))))
✓	32.1b	(*.f64 y (neg.f64 z))
▶	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	27.6b	(*.f64 y x)

Compiler

Compiled 48 to 30 computations (37.5% saved)

localize7.0ms (0.1%)

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)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

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

simplify30.0ms (0.5%)

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))

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (+.f64 x z))
	1.5b	(fma.f64 x x (*.f64 z (+.f64 x z)))
✓	5.1b	(*.f64 (pow.f64 x 3) y)
✓	27.6b	(/.f64 (.f64 (pow.f64 x 3) y) (fma.f64 x x (.f64 z (+.f64 x z))))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series14.0ms (0.2%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/.f64 (.f64 (pow.f64 x 3) y) (fma.f64 x x (.f64 z (+.f64 x z))))
1.0ms	y	@	0	(/.f64 (.f64 (pow.f64 x 3) y) (fma.f64 x x (.f64 z (+.f64 x z))))
1.0ms	z	@	inf	(/.f64 (.f64 (pow.f64 x 3) y) (fma.f64 x x (.f64 z (+.f64 x z))))
1.0ms	z	@	-inf	(/.f64 (.f64 (pow.f64 x 3) y) (fma.f64 x x (.f64 z (+.f64 x z))))
1.0ms	x	@	-inf	(/.f64 (.f64 (pow.f64 x 3) y) (fma.f64 x x (.f64 z (+.f64 x z))))

rewrite82.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`prod-diff_binary64`
624×	`log-prod_binary64`
312×	`fma-def_binary64`
220×	`pow1/3_binary64`
214×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	246	34
2	3358	34

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

Inputs
(/.f64 (.f64 (pow.f64 x 3) y) (fma.f64 x x (.f64 z (+.f64 x z))))
(*.f64 (pow.f64 x 3) y)
(*.f64 z (+.f64 x z))

Outputs

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

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

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

835×	`fma-def_binary64`
370×	`associate-l_binary64`
350×	`associate-r_binary64`
300×	`associate-+l+_binary64`
289×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1275
1	359	1110
2	1515	948
3	7860	948

Stop Event

1×	node limit

Counts

205 → 149

Calls

Call 1

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

Outputs
(/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 2))
(/.f64 y (/.f64 (*.f64 z z) (pow.f64 x 3)))
(.f64 (/.f64 y (.f64 z z)) (pow.f64 x 3))
(/.f64 (pow.f64 x 3) (/.f64 z (/.f64 y z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 x 4)) (pow.f64 z 3))) (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 2)))
(fma.f64 -1 (/.f64 y (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (/.f64 y (/.f64 (*.f64 z z) (pow.f64 x 3))))
(-.f64 (.f64 (/.f64 y (.f64 z z)) (pow.f64 x 3)) (*.f64 (/.f64 y (pow.f64 z 3)) (pow.f64 x 4)))
(.f64 (/.f64 y (.f64 z z)) (-.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 4) z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 x 4)) (pow.f64 z 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 y (pow.f64 z 4)) (.f64 -1 (/.f64 y (pow.f64 z 4)))) (pow.f64 x 5))) (/.f64 (.f64 y (pow.f64 x 3)) (pow.f64 z 2))))
(fma.f64 -1 (/.f64 y (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (/.f64 y (/.f64 (*.f64 z z) (pow.f64 x 3))))
(-.f64 (.f64 (/.f64 y (.f64 z z)) (pow.f64 x 3)) (*.f64 (/.f64 y (pow.f64 z 3)) (pow.f64 x 4)))
(.f64 (/.f64 y (.f64 z z)) (-.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 4) z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 x 4)) (pow.f64 z 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 y (pow.f64 z 4)) (.f64 -1 (/.f64 y (pow.f64 z 4)))) z)) (.f64 -1 (/.f64 y (pow.f64 z 5)))) (pow.f64 x 6))) (+.f64 (.f64 -1 (.f64 (+.f64 (/.f64 y (pow.f64 z 4)) (.f64 -1 (/.f64 y (pow.f64 z 4)))) (pow.f64 x 5))) (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 2)))))
(fma.f64 -1 (/.f64 y (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (fma.f64 -1 (.f64 (.f64 -1 (+.f64 (/.f64 (.f64 0 (/.f64 y (pow.f64 z 4))) z) (/.f64 y (pow.f64 z 5)))) (pow.f64 x 6)) (fma.f64 -1 (.f64 (.f64 0 (/.f64 y (pow.f64 z 4))) (pow.f64 x 5)) (/.f64 y (/.f64 (.f64 z z) (pow.f64 x 3))))))
(-.f64 (-.f64 (fma.f64 0 (pow.f64 x 5) (.f64 (/.f64 y (.f64 z z)) (pow.f64 x 3))) (.f64 (-.f64 (/.f64 0 z) (/.f64 y (pow.f64 z 5))) (pow.f64 x 6))) (.f64 (/.f64 y (pow.f64 z 3)) (pow.f64 x 4)))
(fma.f64 (/.f64 y (pow.f64 z 5)) (pow.f64 x 6) (.f64 (/.f64 y (.f64 z z)) (-.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 4) 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 -1 (.f64 y z)) (+.f64 (.f64 y x) (.f64 -1 (/.f64 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 -1 (*.f64 y (pow.f64 z 2)))) x))))
(fma.f64 -1 (.f64 y z) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 -1 (.f64 y (pow.f64 z 2)))) z)) (.f64 -1 (.f64 y (pow.f64 z 3)))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 y x) (.f64 -1 (/.f64 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 -1 (*.f64 y (pow.f64 z 2)))) x)))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 z (.f64 0 (.f64 y (.f64 z z)))) (neg.f64 (.f64 y (pow.f64 z 3)))) (.f64 x x)) (fma.f64 -1 (.f64 y z) (fma.f64 y x (neg.f64 (/.f64 (.f64 0 (.f64 y (.f64 z z))) x)))))
(-.f64 (-.f64 (fma.f64 y x (/.f64 0 x)) (.f64 y z)) (/.f64 (-.f64 (.f64 z 0) (.f64 y (pow.f64 z 3))) (.f64 x x)))
(fma.f64 (/.f64 y x) (/.f64 (pow.f64 z 3) 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 -1 (.f64 y z)) (+.f64 (.f64 y x) (.f64 -1 (/.f64 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 -1 (*.f64 y (pow.f64 z 2)))) 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 3)) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 -1 (.f64 y (pow.f64 z 2)))) z) (pow.f64 x 2)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 y x) (.f64 -1 (/.f64 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 -1 (.f64 y (pow.f64 z 2)))) x))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 z (.f64 0 (.f64 y (.f64 z z)))) (neg.f64 (.f64 y (pow.f64 z 3)))) (.f64 x x)) (fma.f64 -1 (.f64 y z) (fma.f64 y x (neg.f64 (/.f64 (.f64 0 (.f64 y (.f64 z z))) x)))))
(-.f64 (-.f64 (fma.f64 y x (/.f64 0 x)) (.f64 y z)) (/.f64 (-.f64 (.f64 z 0) (.f64 y (pow.f64 z 3))) (.f64 x x)))
(fma.f64 (/.f64 y x) (/.f64 (pow.f64 z 3) x) (*.f64 y (-.f64 x z)))
(/.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 z (+.f64 z x)) (pow.f64 x 2)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (pow.f64 x 3)))
(.f64 (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))))
(/.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 z (+.f64 z x)) (pow.f64 x 2)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (pow.f64 x 3)))
(.f64 (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))))
(/.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 z (+.f64 z x)) (pow.f64 x 2)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (pow.f64 x 3)))
(.f64 (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))))
(/.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 z (+.f64 z x)) (pow.f64 x 2)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (pow.f64 x 3)))
(.f64 (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))))
(/.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 z (+.f64 z x)) (pow.f64 x 2)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (pow.f64 x 3)))
(.f64 (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))))
(/.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 z (+.f64 z x)) (pow.f64 x 2)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (pow.f64 x 3)))
(.f64 (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))))
(/.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 z (+.f64 z x)) (pow.f64 x 2)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (pow.f64 x 3)))
(.f64 (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))))
(/.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 z (+.f64 z x)) (pow.f64 x 2)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (pow.f64 x 3)))
(.f64 (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))))
(/.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 z (+.f64 z x)) (pow.f64 x 2)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (pow.f64 x 3)))
(.f64 (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))))
(/.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 z (+.f64 z x)) (pow.f64 x 2)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (pow.f64 x 3)))
(.f64 (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))))
(/.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 z (+.f64 z x)) (pow.f64 x 2)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (pow.f64 x 3)))
(.f64 (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))))
(/.f64 (.f64 y (pow.f64 x 3)) (+.f64 (.f64 z (+.f64 z x)) (pow.f64 x 2)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (pow.f64 x 3)))
(.f64 (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x x))) (pow.f64 x 3))
(.f64 (pow.f64 x 3) (/.f64 y (fma.f64 z (+.f64 x z) (.f64 x 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 -1 (.f64 y z)) (+.f64 (.f64 y x) (.f64 -1 (.f64 (pow.f64 z 2) (+.f64 (/.f64 y x) (.f64 -1 (/.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 -1 (.f64 y z)) (+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 z 2) (+.f64 (/.f64 y x) (.f64 -1 (/.f64 y x))))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 y x) (.f64 -1 (/.f64 y x))) x)) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) (pow.f64 z 3))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 z (.f64 0 (.f64 y (.f64 z z)))) (neg.f64 (.f64 y (pow.f64 z 3)))) (.f64 x x)) (fma.f64 -1 (.f64 y z) (fma.f64 y x (neg.f64 (/.f64 (.f64 0 (.f64 y (.f64 z z))) x)))))
(-.f64 (-.f64 (fma.f64 y x (/.f64 0 x)) (.f64 y z)) (/.f64 (-.f64 (.f64 z 0) (.f64 y (pow.f64 z 3))) (.f64 x x)))
(fma.f64 (/.f64 y x) (/.f64 (pow.f64 z 3) x) (*.f64 y (-.f64 x z)))
(/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 2))
(/.f64 y (/.f64 (*.f64 z z) (pow.f64 x 3)))
(.f64 (/.f64 y (.f64 z z)) (pow.f64 x 3))
(/.f64 (pow.f64 x 3) (/.f64 z (/.f64 y z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 x 4)) (pow.f64 z 3))) (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 2)))
(fma.f64 -1 (/.f64 y (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (/.f64 y (/.f64 (*.f64 z z) (pow.f64 x 3))))
(-.f64 (.f64 (/.f64 y (.f64 z z)) (pow.f64 x 3)) (*.f64 (/.f64 y (pow.f64 z 3)) (pow.f64 x 4)))
(.f64 (/.f64 y (.f64 z z)) (-.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 4) z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 x 4)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 y (pow.f64 x 5)) (.f64 -1 (.f64 y (pow.f64 x 5)))) (pow.f64 z 4))) (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 2))))
(fma.f64 -1 (/.f64 y (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (/.f64 y (/.f64 (*.f64 z z) (pow.f64 x 3))))
(-.f64 (.f64 (/.f64 y (.f64 z z)) (pow.f64 x 3)) (*.f64 (/.f64 y (pow.f64 z 3)) (pow.f64 x 4)))
(.f64 (/.f64 y (.f64 z z)) (-.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 4) z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 x 4)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 y (pow.f64 x 5)) (.f64 -1 (.f64 y (pow.f64 x 5)))) (pow.f64 z 4))) (+.f64 (/.f64 (.f64 y (pow.f64 x 3)) (pow.f64 z 2)) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 y (pow.f64 x 5)) (.f64 -1 (.f64 y (pow.f64 x 5)))) x)) (.f64 -1 (*.f64 y (pow.f64 x 6)))) (pow.f64 z 5))))))
(fma.f64 -1 (/.f64 y (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (fma.f64 -1 (.f64 (.f64 -1 (+.f64 (/.f64 (.f64 0 (/.f64 y (pow.f64 z 4))) z) (/.f64 y (pow.f64 z 5)))) (pow.f64 x 6)) (fma.f64 -1 (.f64 (.f64 0 (/.f64 y (pow.f64 z 4))) (pow.f64 x 5)) (/.f64 y (/.f64 (.f64 z z) (pow.f64 x 3))))))
(-.f64 (-.f64 (fma.f64 0 (pow.f64 x 5) (.f64 (/.f64 y (.f64 z z)) (pow.f64 x 3))) (.f64 (-.f64 (/.f64 0 z) (/.f64 y (pow.f64 z 5))) (pow.f64 x 6))) (.f64 (/.f64 y (pow.f64 z 3)) (pow.f64 x 4)))
(fma.f64 (/.f64 y (pow.f64 z 5)) (pow.f64 x 6) (.f64 (/.f64 y (.f64 z z)) (-.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 4) z))))
(/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 2))
(/.f64 y (/.f64 (*.f64 z z) (pow.f64 x 3)))
(.f64 (/.f64 y (.f64 z z)) (pow.f64 x 3))
(/.f64 (pow.f64 x 3) (/.f64 z (/.f64 y z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 x 4)) (pow.f64 z 3))) (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 2)))
(fma.f64 -1 (/.f64 y (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (/.f64 y (/.f64 (*.f64 z z) (pow.f64 x 3))))
(-.f64 (.f64 (/.f64 y (.f64 z z)) (pow.f64 x 3)) (*.f64 (/.f64 y (pow.f64 z 3)) (pow.f64 x 4)))
(.f64 (/.f64 y (.f64 z z)) (-.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 4) z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 x 4)) (pow.f64 z 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 y (pow.f64 x 5)) (.f64 -1 (.f64 y (pow.f64 x 5)))) (pow.f64 z 4))) (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 z 2))))
(fma.f64 -1 (/.f64 y (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (/.f64 y (/.f64 (*.f64 z z) (pow.f64 x 3))))
(-.f64 (.f64 (/.f64 y (.f64 z z)) (pow.f64 x 3)) (*.f64 (/.f64 y (pow.f64 z 3)) (pow.f64 x 4)))
(.f64 (/.f64 y (.f64 z z)) (-.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 4) z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (pow.f64 x 4)) (pow.f64 z 3))) (+.f64 (/.f64 (.f64 y (pow.f64 x 6)) (pow.f64 z 5)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 y (pow.f64 x 5)) (.f64 -1 (.f64 y (pow.f64 x 5)))) (pow.f64 z 4))) (+.f64 (/.f64 (.f64 y (pow.f64 x 3)) (pow.f64 z 2)) (/.f64 (.f64 (+.f64 (.f64 y (pow.f64 x 5)) (.f64 -1 (.f64 y (pow.f64 x 5)))) x) (pow.f64 z 5))))))
(fma.f64 -1 (/.f64 y (/.f64 (pow.f64 z 3) (pow.f64 x 4))) (fma.f64 -1 (.f64 (.f64 -1 (+.f64 (/.f64 (.f64 0 (/.f64 y (pow.f64 z 4))) z) (/.f64 y (pow.f64 z 5)))) (pow.f64 x 6)) (fma.f64 -1 (.f64 (.f64 0 (/.f64 y (pow.f64 z 4))) (pow.f64 x 5)) (/.f64 y (/.f64 (.f64 z z) (pow.f64 x 3))))))
(-.f64 (-.f64 (fma.f64 0 (pow.f64 x 5) (.f64 (/.f64 y (.f64 z z)) (pow.f64 x 3))) (.f64 (-.f64 (/.f64 0 z) (/.f64 y (pow.f64 z 5))) (pow.f64 x 6))) (.f64 (/.f64 y (pow.f64 z 3)) (pow.f64 x 4)))
(fma.f64 (/.f64 y (pow.f64 z 5)) (pow.f64 x 6) (.f64 (/.f64 y (.f64 z z)) (-.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 4) z))))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 y (pow.f64 x 3))
(*.f64 z x)
(*.f64 x z)
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(pow.f64 z 2)
(*.f64 z z)
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(pow.f64 z 2)
(*.f64 z z)
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(pow.f64 z 2)
(*.f64 z z)
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(*.f64 z x)
(*.f64 x z)
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(*.f64 z x)
(*.f64 x z)
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))
(+.f64 (pow.f64 z 2) (*.f64 z x))
(*.f64 z (+.f64 x z))

eval259.0ms (4.2%)

Compiler: Compiled 4810 to 1903 computations (60.4% saved)

prune70.0ms (1.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	248	1	249
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	249	5	254

Error

Counts

254 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 y x (*.f64 z (neg.f64 y)))
✓	0.0b	(*.f64 y (-.f64 x z))
✓	32.1b	(*.f64 y (neg.f64 z))
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	27.6b	(*.f64 y x)

Compiler

Compiled 41 to 26 computations (36.6% saved)

localize12.0ms (0.2%)

Compiler: Compiled 19 to 6 computations (68.4% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 y x (*.f64 z (neg.f64 y)))
✓	0.0b	(*.f64 y (-.f64 x z))
✓	32.1b	(*.f64 y (neg.f64 z))
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	27.6b	(*.f64 y x)

Compiler

Compiled 41 to 26 computations (36.6% saved)

regimes31.0ms (0.5%)

Counts

9 → 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 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(fma.f64 y x (*.f64 z (neg.f64 y)))
(/.f64 (.f64 (pow.f64 x 3) y) (fma.f64 x x (.f64 z (+.f64 x z))))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))

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

Calls

4 calls:

9.0ms	x
8.0ms	y
6.0ms	z
5.0ms	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))`

Compiler

Compiled 114 to 51 computations (55.3% saved)

regimes90.0ms (1.5%)

Counts

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

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

Calls

4 calls:

49.0ms	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
17.0ms	x
10.0ms	y
10.0ms	z

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 75 to 34 computations (54.7% saved)

regimes27.0ms (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:

9.0ms	y
8.0ms	x
8.0ms	z

Results

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

Compiler

Compiled 27 to 17 computations (37% saved)

regimes167.0ms (2.7%)

Accuracy

Total -44.7b remaining (-315.4%)

Threshold costs -44.7b (-315.4%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

107.0ms	z
37.0ms	y
20.0ms	x

Results

Error	Segments	Branch
14.2b	3	`x`
23.1b	6	`y`
15.5b	3	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch122.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	2.920582863260117e-13	1.2019624315236963e-8
65.0ms	-1.254364691339144e-32	-7.154027785619621e-33

Compiler

Compiled 24 to 14 computations (41.7% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-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	21	57
1	40	57
2	48	57
3	52	57
4	53	57

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y x (*.f64 z (neg.f64 y)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(if (<=.f64 x -4583140125505579/365375409332725729550921208179070754913983135744) (.f64 y x) (if (<=.f64 x 1446202585792175/4951760157141521099596496896) (.f64 y (neg.f64 z)) (*.f64 y x)))
(*.f64 y x)

Outputs
(fma.f64 y x (*.f64 z (neg.f64 y)))
(fma.f64 y x (*.f64 y (neg.f64 z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(if (<=.f64 x -4583140125505579/365375409332725729550921208179070754913983135744) (.f64 y x) (if (<=.f64 x 1446202585792175/4951760157141521099596496896) (.f64 y (neg.f64 z)) (*.f64 y x)))
(*.f64 y x)

Compiler

Compiled 55 to 33 computations (40% saved)

soundness301.0ms (4.9%)

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)

end73.0ms (1.2%)

Compiler: Compiled 43 to 17 computations (60.5% 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

analyze418.0ms (6.8%)

sample3.1s (50.2%)

preprocess65.0ms (1.1%)

simplify120.0ms (1.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series5.0ms (0.1%)

rewrite68.0ms (1.1%)

simplify28.0ms (0.5%)

localize63.0ms (1%)

series10.0ms (0.2%)

rewrite102.0ms (1.7%)

simplify157.0ms (2.5%)

eval62.0ms (1%)

prune42.0ms (0.7%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize9.0ms (0.1%)

series3.0ms (0.1%)

rewrite57.0ms (0.9%)

simplify30.0ms (0.5%)

localize24.0ms (0.4%)

series21.0ms (0.3%)

rewrite96.0ms (1.6%)

simplify73.0ms (1.2%)

eval95.0ms (1.5%)

prune49.0ms (0.8%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite63.0ms (1%)

simplify30.0ms (0.5%)

localize16.0ms (0.3%)

series14.0ms (0.2%)

rewrite82.0ms (1.3%)

simplify72.0ms (1.2%)

eval259.0ms (4.2%)

prune70.0ms (1.1%)

localize12.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes31.0ms (0.5%)

regimes90.0ms (1.5%)

regimes27.0ms (0.4%)

regimes167.0ms (2.7%)

bsearch122.0ms (2%)

simplify11.0ms (0.2%)

soundness301.0ms (4.9%)

end73.0ms (1.2%)

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