Details

analyze361.0ms (5%)

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)

sample1.6s (21.4%)

Results

723.0ms	6397×	body	256	valid
225.0ms	836×	body	1024	valid
193.0ms	1725×	body	256	invalid
167.0ms	478×	body	2048	valid
103.0ms	545×	body	512	valid
67.0ms	315×	body	512	invalid
54.0ms	209×	body	1024	invalid

preprocess98.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

489×	`sub-neg_binary64`
460×	`distribute-lft-out--_binary64`
382×	`*-commutative_binary64`
377×	`fma-def_binary64`
358×	`distribute-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	88
1	88	40
2	303	28
3	869	28
4	3232	28
5	6592	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 z)) (.f64 y y)) (.f64 y y))
(+.f64 (-.f64 (-.f64 (.f64 y x) (.f64 x z)) (.f64 x x)) (.f64 x x))
(+.f64 (-.f64 (-.f64 (.f64 z y) (.f64 y x)) (.f64 y y)) (.f64 y y))
(+.f64 (-.f64 (-.f64 (.f64 x z) (.f64 z y)) (.f64 z z)) (.f64 z z))

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

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify189.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

754×	`unsub-neg_binary64`
533×	`distribute-lft-out_binary64`
520×	`distribute-lft-out--_binary64`
478×	`*-commutative_binary64`
399×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	27	10
2	89	7
3	252	7
4	792	7
5	3536	7
6	5040	7
7	5689	7
8	5977	7
9	6100	7
10	6150	7
11	7405	7
12	7615	7
13	7819	7
14	7819	7

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (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
▶	15.1b	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
▶	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize12.0ms (0.2%)

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)

series11.0ms (0.2%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	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	y	@	inf	(*.f64 y (-.f64 x z))
1.0ms	x	@	inf	(*.f64 y (-.f64 x z))

rewrite81.0ms (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))))))))

simplify54.0ms (0.7%)

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))

localize27.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))
✓	0.0b	(-.f64 (.f64 x y) (.f64 y z))
✓	7.3b	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 48 to 9 computations (81.3% saved)

series22.0ms (0.3%)

Counts

3 → 108

Calls

27 calls:

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

rewrite188.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`log-prod_binary64`
632×	`fma-neg_binary64`
335×	`pow2_binary64`
227×	`pow1/3_binary64`
226×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	246	30
2	3888	28

Stop Event

1×	node limit

Counts

3 → 290

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x y) (+.f64 (.f64 y z) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x y) (-.f64 (.f64 y (+.f64 z y)) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 y (-.f64 x z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 y (-.f64 x z)) (.f64 y y)) (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 x z) 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 y (-.f64 x z) (.f64 y (neg.f64 y))) 2) (-.f64 (fma.f64 y (-.f64 x z) (.f64 y (neg.f64 y))) (.f64 y y))) (/.f64 (pow.f64 y 4) (-.f64 (fma.f64 y (-.f64 x z) (.f64 y (neg.f64 y))) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 y y) (.f64 x y)) (.f64 y (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y (-.f64 x z) 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 y (-.f64 x z) 0))))) (#(struct:change 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Outputs

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simplify397.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1520×	`fma-neg_binary64`
392×	`distribute-rgt-neg-in_binary64`
281×	`cancel-sign-sub-inv_binary64`
280×	`distribute-lft-neg-in_binary64`
268×	`unswap-sqr_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	28	1100
1	84	886
2	193	805
3	533	805
4	1659	805
5	3625	805
6	4457	805
7	5269	805
8	5843	805
9	6391	783
10	7348	783

Stop Event

1×	node limit

Counts

398 → 309

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

eval402.0ms (5.5%)

Compiler: Compiled 6458 to 1684 computations (73.9% saved)

prune254.0ms (3.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	329	5	334
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	330	6	336

Error

Counts

336 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
▶	33.0b	(*.f64 y x)
▶	0.0b	(fma.f64 y x (neg.f64 (+.f64 (*.f64 y z) 0)))
▶	26.9b	(*.f64 y (neg.f64 z))
✓	0.0b	(*.f64 y (-.f64 x z))
▶	37.8b	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))

Compiler

Compiled 122 to 79 computations (35.2% saved)

localize24.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y x (neg.f64 (+.f64 (*.f64 y z) 0)))

Compiler

Compiled 30 to 14 computations (53.3% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite73.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`pow1_binary64`
612×	`add-log-exp_binary64`
611×	`log1p-expm1-u_binary64`
611×	`expm1-log1p-u_binary64`
598×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	196	8
2	2254	8

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(fma.f64 y x (neg.f64 (+.f64 (*.f64 y z) 0)))

Outputs

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

simplify385.0ms (5.3%)

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

60 → 31

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))

localize3.0ms (0%)

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

localize5.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 7 computations (69.6% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite207.0ms (2.8%)

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))))))

simplify29.0ms (0.4%)

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))

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.3b	(-.f64 (pow.f64 x 3) (pow.f64 z 3))
✓	1.5b	(fma.f64 x x (*.f64 z (+.f64 x z)))
✓	5.4b	(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)
✓	32.5b	(/.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)

series169.0ms (2.3%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
148.0ms	z	@	-inf	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))
3.0ms	z	@	-inf	(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))))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 x x (.f64 z (+.f64 x z))))
1.0ms	z	@	-inf	(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)

rewrite97.0ms (1.3%)

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

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

simplify102.0ms (1.4%)

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	4622	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)))
(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)))
(*.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))

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

eval175.0ms (2.4%)

Compiler: Compiled 6672 to 2969 computations (55.5% saved)

prune48.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	327	2	329
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	329	6	335

Error

Counts

335 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.8b	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (+.f64 (.f64 z (+.f64 x z)) (*.f64 x x)))
✓	33.0b	(*.f64 y x)
✓	0.0b	(fma.f64 y x (neg.f64 (+.f64 (*.f64 y z) 0)))
✓	26.9b	(*.f64 y (neg.f64 z))
✓	0.0b	(*.f64 y (-.f64 x z))
▶	0.0b	(-.f64 (.f64 y x) (.f64 y z))

Compiler

Compiled 65 to 42 computations (35.4% saved)

localize136.0ms (1.9%)

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)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite67.0ms (0.9%)

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)))))))

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

89 → 59

Calls

Call 1

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

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

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(+.f64 (.f64 z (+.f64 x z)) (.f64 x x))
	1.3b	(-.f64 (pow.f64 x 3) (pow.f64 z 3))
	5.4b	(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y)
✓	32.5b	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (+.f64 (.f64 z (+.f64 x z)) (*.f64 x x)))

Compiler

Compiled 68 to 30 computations (55.9% saved)

series6.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (+.f64 (.f64 z (+.f64 x z)) (*.f64 x x)))
1.0ms	y	@	0	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (+.f64 (.f64 z (+.f64 x z)) (*.f64 x x)))
1.0ms	z	@	0	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (+.f64 (.f64 z (+.f64 x z)) (*.f64 x x)))
0.0ms	x	@	0	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (+.f64 (.f64 z (+.f64 x z)) (*.f64 x x)))
0.0ms	y	@	-inf	(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (+.f64 (.f64 z (+.f64 x z)) (*.f64 x x)))

rewrite88.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`log-prod_binary64`
742×	`fma-def_binary64`
352×	`fma-neg_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	333	18
2	4891	18

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

854×	`fma-neg_binary64`
784×	`associate-/l*_binary64`
728×	`fma-def_binary64`
365×	`associate-/l/_binary64`
224×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	723
1	298	720
2	1207	666
3	4571	666

Stop Event

1×	node limit

Counts

183 → 153

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)))
(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)))
(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)))

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

eval256.0ms (3.5%)

Compiler: Compiled 7932 to 3434 computations (56.7% saved)

prune207.0ms (2.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	347	2	349
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	349	6	355

Error

Counts

355 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 y x (*.f64 z (neg.f64 y)))
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
▶	37.8b	(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) y) (+.f64 (.f64 z (+.f64 x z)) (*.f64 x x)))
✓	33.0b	(*.f64 y x)
✓	26.9b	(*.f64 y (neg.f64 z))
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 68 to 38 computations (44.1% saved)

localize47.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.2b	(+.f64 (.f64 z (+.f64 x z)) (.f64 x x))
	1.5b	(fma.f64 x x (*.f64 z (+.f64 x z)))
✓	5.4b	(.f64 (.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) y)
✓	32.5b	(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) y) (+.f64 (.f64 z (+.f64 x z)) (*.f64 x x)))

Compiler

Compiled 87 to 12 computations (86.2% saved)

series163.0ms (2.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
151.0ms	y	@	-inf	(.f64 (.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) (-.f64 x z)) y)
1.0ms	x	@	-inf	(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) y) (+.f64 (.f64 z (+.f64 x z)) (*.f64 x x)))
1.0ms	z	@	0	(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) y) (+.f64 (.f64 z (+.f64 x z)) (*.f64 x x)))
1.0ms	z	@	inf	(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) y) (+.f64 (.f64 z (+.f64 x z)) (*.f64 x x)))
1.0ms	x	@	0	(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) y) (+.f64 (.f64 z (+.f64 x z)) (*.f64 x x)))

rewrite82.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`log-prod_binary64`
614×	`fma-def_binary64`
299×	`fma-neg_binary64`
247×	`expm1-udef_binary64`
247×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	301	20
2	4502	20

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

970×	`fma-def_binary64`
377×	`associate-+l+_binary64`
331×	`associate--r+_binary64`
272×	`associate--l+_binary64`
249×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	1158
1	601	825
2	2753	778

Stop Event

1×	node limit

Counts

150 → 117

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series169.0ms (2.3%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
166.0ms	x	@	inf	(fma.f64 y x (*.f64 z (neg.f64 y)))
0.0ms	y	@	0	(fma.f64 y x (*.f64 z (neg.f64 y)))
0.0ms	z	@	0	(fma.f64 y x (*.f64 z (neg.f64 y)))
0.0ms	y	@	inf	(fma.f64 y x (*.f64 z (neg.f64 y)))
0.0ms	z	@	inf	(fma.f64 y x (*.f64 z (neg.f64 y)))

rewrite53.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`pow1_binary64`
555×	`add-log-exp_binary64`
554×	`log1p-expm1-u_binary64`
554×	`expm1-log1p-u_binary64`
542×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	143	8
2	1813	8

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.7%)

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

58 → 30

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))

eval74.0ms (1%)

Compiler: Compiled 7043 to 2157 computations (69.4% saved)

prune60.0ms (0.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	271	1	272
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	272	6	278

Error

Counts

278 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(fma.f64 y x (*.f64 z (neg.f64 y)))
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
	37.8b	(/.f64 (.f64 (.f64 (+.f64 (.f64 z (+.f64 x z)) (.f64 x x)) (-.f64 x z)) y) (+.f64 (.f64 z (+.f64 x z)) (.f64 x x)))
✓	33.0b	(*.f64 y x)
✓	26.9b	(*.f64 y (neg.f64 z))
✓	0.0b	(*.f64 y (-.f64 x z))

Compiler

Compiled 69 to 37 computations (46.4% saved)

regimes32.0ms (0.4%)

Counts

12 → 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 z)) (.f64 y y)) (.f64 y y))
(/.f64 (.f64 (.f64 (+.f64 (.f64 z (+.f64 x z)) (.f64 x x)) (-.f64 x z)) y) (+.f64 (.f64 z (+.f64 x z)) (.f64 x x)))
(fma.f64 y x (*.f64 z (neg.f64 y)))
(fma.f64 y x (neg.f64 (+.f64 (*.f64 y z) 0)))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 z (+.f64 x z))) (-.f64 x z)) y) (+.f64 (.f64 z (+.f64 x z)) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (+.f64 (.f64 z (+.f64 x z)) (*.f64 x x)))
(/.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:

8.0ms	y
7.0ms	z
7.0ms	x
6.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Results

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

Compiler

Compiled 177 to 66 computations (62.7% saved)

regimes22.0ms (0.3%)

Counts

7 → 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 z)) (.f64 y y)) (.f64 y y))
(/.f64 (.f64 (.f64 (+.f64 (.f64 z (+.f64 x z)) (.f64 x x)) (-.f64 x z)) y) (+.f64 (.f64 z (+.f64 x z)) (.f64 x x)))

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

Calls

4 calls:

5.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
5.0ms	x
5.0ms	y
5.0ms	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 z)) (.f64 y y)) (.f64 y y))`

Compiler

Compiled 100 to 41 computations (59% saved)

regimes35.0ms (0.5%)

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:

27.0ms	y
4.0ms	x
3.0ms	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)

regimes235.0ms (3.2%)

Accuracy

Total -47.3b remaining (-429.7%)

Threshold costs -47.3b (-429.7%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

211.0ms	y
14.0ms	x
9.0ms	z

Results

Error	Segments	Branch
11.0b	5	`x`
18.8b	8	`y`
14.0b	3	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch122.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
24.0ms	1.8643384585354e+47	3.748755581867902e+54
26.0ms	6.0543716209710736e-27	5.0896647771893556e-26
48.0ms	9.830640204245755e-80	7.237131224868478e-64
24.0ms	-6.13383680137698e+74	-6.002508037781598e+66

Compiler

Compiled 24 to 14 computations (41.7% saved)

simplify95.0ms (1.3%)

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	27	79
1	46	79
2	54	79
3	58	79
4	59	79

Stop Event

1×	fuel
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 -613383680137697977975237779367699194624605590353124142408493898786425274368) (.f64 y x) (if (<=.f64 x 820239063713743/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (.f64 y (neg.f64 z)) (if (<=.f64 x 8438562428530671/1393796574908163946345982392040522594123776) (.f64 y x) (if (<=.f64 x 186433845853540001628116199682930098514002182144) (.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 -613383680137697977975237779367699194624605590353124142408493898786425274368) (.f64 y x) (if (<=.f64 x 820239063713743/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096) (.f64 y (neg.f64 z)) (if (<=.f64 x 8438562428530671/1393796574908163946345982392040522594123776) (.f64 y x) (if (<=.f64 x 186433845853540001628116199682930098514002182144) (.f64 y (neg.f64 z)) (*.f64 y x)))))
(*.f64 y x)

Compiler

Compiled 70 to 39 computations (44.3% saved)

soundness0.0ms (0%)

end34.0ms (0.5%)

Compiler: Compiled 58 to 23 computations (60.3% 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

analyze361.0ms (5%)

sample1.6s (21.4%)

preprocess98.0ms (1.3%)

simplify189.0ms (2.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize12.0ms (0.2%)

series11.0ms (0.2%)

rewrite81.0ms (1.1%)

simplify54.0ms (0.7%)

localize27.0ms (0.4%)

series22.0ms (0.3%)

rewrite188.0ms (2.6%)

simplify397.0ms (5.5%)

eval402.0ms (5.5%)

prune254.0ms (3.5%)

localize24.0ms (0.3%)

series6.0ms (0.1%)

rewrite73.0ms (1%)

simplify385.0ms (5.3%)

localize3.0ms (0%)

localize5.0ms (0.1%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite207.0ms (2.8%)

simplify29.0ms (0.4%)

localize23.0ms (0.3%)

series169.0ms (2.3%)

rewrite97.0ms (1.3%)

simplify102.0ms (1.4%)

eval175.0ms (2.4%)

prune48.0ms (0.7%)

localize136.0ms (1.9%)

series3.0ms (0%)

rewrite67.0ms (0.9%)

simplify61.0ms (0.8%)

localize28.0ms (0.4%)

series6.0ms (0.1%)

rewrite88.0ms (1.2%)

simplify64.0ms (0.9%)

eval256.0ms (3.5%)

prune207.0ms (2.8%)

localize47.0ms (0.6%)

series163.0ms (2.2%)

rewrite82.0ms (1.1%)

simplify62.0ms (0.9%)

localize7.0ms (0.1%)

series169.0ms (2.3%)

rewrite53.0ms (0.7%)

simplify54.0ms (0.7%)

eval74.0ms (1%)

prune60.0ms (0.8%)

regimes32.0ms (0.4%)

regimes22.0ms (0.3%)

regimes35.0ms (0.5%)

regimes235.0ms (3.2%)

bsearch122.0ms (1.7%)

simplify95.0ms (1.3%)

soundness0.0ms (0%)

end34.0ms (0.5%)

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