Details

analyze56.0ms (0.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
43.7%	43.7%	12.6%	7
46.8%	34.3%	18.8%	8
57.8%	23.4%	18.8%	9
60.1%	18%	22%	10
66%	12.1%	22%	11
67.3%	9.2%	23.5%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.3s (18.7%)

Results

1.3s	8256×	body	256	valid
21.0ms	179×	body	256	invalid

preprocess39.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

496×	`fma-def_binary64`
136×	`fma-neg_binary64`
67×	`distribute-rgt-in_binary64`
53×	`unsub-neg_binary64`
44×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	26	20
2	48	20
3	108	20
4	248	20
5	362	20
6	496	20
7	682	20
8	1195	20
9	1220	20
10	1270	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f64 x (-.f64 1 (.f64 x y)))
(.f64 y (-.f64 1 (.f64 y x)))

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify21.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

265×	`fma-def_binary64`
84×	`fma-neg_binary64`
33×	`distribute-rgt-in_binary64`
25×	`unsub-neg_binary64`
24×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	33	10
3	71	10
4	162	10
5	239	10
6	327	10
7	431	10
8	672	10
9	717	10
10	749	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 x y)))

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

eval1.0ms (0%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f64 x (-.f64 1 (.f64 x y)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))

Compiler

Compiled 20 to 9 computations (55% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (-.f64 1 (.f64 x y)))
1.0ms	y	@	0	(.f64 x (-.f64 1 (.f64 x y)))
1.0ms	x	@	-inf	(.f64 x (-.f64 1 (.f64 x y)))
1.0ms	x	@	inf	(.f64 x (-.f64 1 (.f64 x y)))
1.0ms	y	@	inf	(.f64 x (-.f64 1 (.f64 x y)))

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`pow1_binary64`
682×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
669×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	145	10
2	1841	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 x y)))

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

Outputs

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

simplify88.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-neg_binary64`
838×	`fma-def_binary64`
539×	`distribute-rgt-neg-in_binary64`
484×	`cancel-sign-sub-inv_binary64`
420×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	236
1	21	218
2	49	218
3	120	218
4	338	218
5	1197	218
6	3297	218
7	4899	218
8	7100	218
9	7915	218

Stop Event

1×	node limit

Counts

43 → 24

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)

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

eval5.0ms (0.1%)

Compiler: Compiled 251 to 140 computations (44.2% saved)

prune10.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	17	7	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	8	25

Error

0.0b

Counts

25 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	22.6b	x
	31.8b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) 2)
▶	8.6b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
▶	12.1b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
▶	0.1b	(+.f64 x (.f64 (.f64 x (neg.f64 y)) x))
▶	40.0b	(.f64 x (.f64 x (neg.f64 y)))
▶	45.7b	(.f64 -1 (.f64 y (pow.f64 x 2)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))

Compiler

Compiled 170 to 112 computations (34.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (.f64 x (neg.f64 y)) x))
✓	0.2b	(.f64 (.f64 x (neg.f64 y)) x)

Compiler

Compiled 24 to 6 computations (75% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`pow1_binary64`
691×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
676×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	157	15
2	2317	15

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

Outputs

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

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

simplify116.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

881×	`fma-neg_binary64`
838×	`fma-def_binary64`
540×	`distribute-rgt-neg-in_binary64`
485×	`cancel-sign-sub-inv_binary64`
420×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	452
1	21	434
2	49	434
3	120	434
4	338	434
5	1199	434
6	3301	434
7	4901	434
8	7102	434
9	7898	434

Stop Event

1×	node limit

Counts

104 → 61

Calls

Call 1

Inputs
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x (neg.f64 y)))

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`pow1_binary64`
482×	`add-sqr-sqrt_binary64`
464×	`add-log-exp_binary64`
463×	`log1p-expm1-u_binary64`
463×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	124	7
2	1607	7

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify109.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-def_binary64`
569×	`distribute-rgt-neg-in_binary64`
567×	`distribute-lft-neg-in_binary64`
539×	`fma-neg_binary64`
367×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	216
1	18	216
2	43	216
3	99	216
4	268	216
5	900	216
6	1504	216
7	2688	216
8	3904	216
9	4771	216
10	5361	216
11	6105	216
12	7253	216

Stop Event

1×	node limit

Counts

36 → 14

Calls

Call 1

Inputs
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))

Outputs
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	11.0b	(*.f64 y (pow.f64 x 2))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 y (pow.f64 x 2))
0.0ms	x	@	inf	(*.f64 y (pow.f64 x 2))
0.0ms	x	@	-inf	(*.f64 y (pow.f64 x 2))
0.0ms	y	@	-inf	(*.f64 y (pow.f64 x 2))
0.0ms	x	@	0	(*.f64 y (pow.f64 x 2))

rewrite41.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`pow1_binary64`
481×	`add-sqr-sqrt_binary64`
461×	`add-log-exp_binary64`
461×	`log1p-expm1-u_binary64`
461×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1318	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 y (pow.f64 x 2))

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize32.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 x y) 2)
✓	1.2b	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x)
✓	6.9b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 50 to 26 computations (48% saved)

series22.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
3.0ms	y	@	-inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
2.0ms	x	@	0	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
2.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))

rewrite107.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`prod-diff_binary64`
597×	`log-prod_binary64`
372×	`fma-def_binary64`
208×	`pow1/3_binary64`
203×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	244	30
2	3379	30

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

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

Outputs

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

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

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

simplify84.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

651×	`distribute-rgt-neg-in_binary64`
625×	`distribute-lft-neg-in_binary64`
584×	`associate-l_binary64`
459×	`fma-neg_binary64`
446×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	778
1	46	742
2	128	742
3	512	742
4	2595	742
5	4713	742
6	6783	742

Stop Event

1×	node limit

Counts

189 → 127

Calls

Call 1

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

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

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))
✓	0.3b	(pow.f64 (*.f64 x y) 3)
✓	1.2b	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x)
✓	10.2b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))

Compiler

Compiled 76 to 37 computations (51.3% saved)

series17.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x)
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
1.0ms	y	@	inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
1.0ms	y	@	-inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))

rewrite96.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`log-prod_binary64`
740×	`fma-def_binary64`
295×	`fma-neg_binary64`
252×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	300	41
2	4269	41

Stop Event

1×	node limit

Counts

4 → 199

Calls

Call 1

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

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

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-def_binary64`
447×	`distribute-rgt-neg-in_binary64`
409×	`distribute-lft-neg-in_binary64`
370×	`unswap-sqr_binary64`
334×	`difference-of-squares_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	1078
1	142	1042
2	583	1024
3	1800	916
4	4826	916

Stop Event

1×	node limit

Counts

295 → 219

Calls

Call 1

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

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

eval151.0ms (2.2%)

Compiler: Compiled 8721 to 4813 computations (44.8% saved)

prune69.0ms (1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	425	7	432
Fresh	1	1	2
Picked	1	0	1
Done	3	2	5
Total	430	10	440

Error

0.0b

Counts

440 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.6b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 x y) (.f64 x y))) x) (+.f64 1 (*.f64 x y)))
▶	0.1b	(-.f64 x (.f64 x (.f64 x y)))
✓	40.0b	(.f64 x (.f64 x (neg.f64 y)))
▶	45.7b	(.f64 (.f64 x x) (neg.f64 y))
▶	11.1b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) y) x)) x) (+.f64 1 (*.f64 x y)))
	22.6b	x
	31.8b	(pow.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 x y)) x)) 2)
▶	8.6b	(/.f64 (+.f64 x (.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) x)) (+.f64 1 (*.f64 x y)))
	53.8b	(.f64 -1 (pow.f64 (.f64 x (sqrt.f64 y)) 2))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))

Compiler

Compiled 210 to 131 computations (37.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 x (.f64 x y)))
✓	0.2b	(.f64 x (.f64 x y))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`pow1_binary64`
704×	`add-log-exp_binary64`
704×	`log1p-expm1-u_binary64`
704×	`expm1-log1p-u_binary64`
689×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	134	17
2	1944	17

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify95.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

881×	`fma-neg_binary64`
838×	`fma-def_binary64`
540×	`distribute-rgt-neg-in_binary64`
484×	`cancel-sign-sub-inv_binary64`
420×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	404
1	21	386
2	49	386
3	120	386
4	337	386
5	1198	386
6	3299	386
7	4898	386
8	7093	386
9	7894	386

Stop Event

1×	node limit

Counts

98 → 57

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	11.0b	(.f64 (.f64 x x) (neg.f64 y))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`pow1_binary64`
469×	`add-sqr-sqrt_binary64`
453×	`add-log-exp_binary64`
452×	`log1p-expm1-u_binary64`
452×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	125	7
2	1613	7

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify129.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

574×	`fma-def_binary64`
569×	`distribute-rgt-neg-in_binary64`
567×	`distribute-lft-neg-in_binary64`
539×	`fma-neg_binary64`
367×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	216
1	18	216
2	43	216
3	99	216
4	268	216
5	900	216
6	1504	216
7	2688	216
8	3904	216
9	4771	216
10	5361	216
11	6105	216
12	7253	216

Stop Event

1×	node limit

Counts

37 → 15

Calls

Call 1

Inputs
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(.f64 -1 (.f64 y (pow.f64 x 2)))

Outputs
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 y (.f64 x (neg.f64 x)))
(.f64 (.f64 x x) (neg.f64 y))

localize30.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x y) (*.f64 x y))
✓	1.2b	(.f64 (-.f64 1 (.f64 (.f64 x y) (.f64 x y))) x)
✓	6.9b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 x y) (.f64 x y))) x) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 57 to 18 computations (68.4% saved)

series15.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 (-.f64 1 (.f64 (.f64 x y) (.f64 x y))) x)
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 x y) (.f64 x y))) x) (+.f64 1 (*.f64 x y)))
1.0ms	y	@	inf	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 x y) (.f64 x y))) x) (+.f64 1 (*.f64 x y)))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 x y) (.f64 x y))) x) (+.f64 1 (*.f64 x y)))
1.0ms	y	@	0	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 x y) (.f64 x y))) x) (+.f64 1 (*.f64 x y)))

rewrite143.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`log-prod_binary64`
442×	`pow-prod-down_binary64`
376×	`fma-def_binary64`
295×	`pow2_binary64`
232×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	225	30
2	3362	30

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

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

Outputs

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

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

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

simplify110.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

651×	`distribute-rgt-neg-in_binary64`
625×	`distribute-lft-neg-in_binary64`
584×	`associate-l_binary64`
459×	`fma-neg_binary64`
446×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	778
1	46	742
2	128	742
3	512	742
4	2595	742
5	4713	742
6	6783	742

Stop Event

1×	node limit

Counts

181 → 120

Calls

Call 1

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

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

localize48.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x y) y)
✓	1.2b	(.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) y) x)) x)
✓	3.8b	(.f64 (.f64 (*.f64 x y) y) x)
✓	6.9b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) y) x)) x) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 62 to 19 computations (69.4% saved)

series14.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite109.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`log-prod_binary64`
506×	`fma-def_binary64`
312×	`pow2_binary64`
279×	`pow-unpow_binary64`
218×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	246	37
2	3515	37

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

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

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

simplify126.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

668×	`distribute-rgt-neg-in_binary64`
643×	`distribute-lft-neg-in_binary64`
601×	`associate-l_binary64`
457×	`fma-neg_binary64`
454×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	946
1	48	910
2	130	910
3	508	910
4	2672	910
5	4821	910
6	6889	910

Stop Event

1×	node limit

Counts

226 → 143

Calls

Call 1

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

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

localize63.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) x))
	0.2b	(pow.f64 (*.f64 x y) 2)
✓	1.5b	(.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) x)
✓	6.9b	(/.f64 (+.f64 x (.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) x)) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 59 to 29 computations (50.8% saved)

series14.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(/.f64 (+.f64 x (.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) x)) (+.f64 1 (*.f64 x y)))
1.0ms	x	@	0	(/.f64 (+.f64 x (.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) x)) (+.f64 1 (*.f64 x y)))
1.0ms	y	@	0	(/.f64 (+.f64 x (.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) x)) (+.f64 1 (*.f64 x y)))
1.0ms	x	@	inf	(/.f64 (+.f64 x (.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) x)) (+.f64 1 (*.f64 x y)))
1.0ms	y	@	0	(.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) x)

rewrite181.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`fma-def_binary64`
611×	`log-prod_binary64`
297×	`pow2_binary64`
284×	`fma-neg_binary64`
272×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	270	39
2	3957	39

Stop Event

1×	node limit

Counts

3 → 206

Calls

Call 1

Inputs
(/.f64 (+.f64 x (.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) x)) (+.f64 1 (*.f64 x y)))
(.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) x)
(+.f64 x (.f64 (neg.f64 (pow.f64 (.f64 x y) 2)) x))

Outputs

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

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

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

simplify153.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

622×	`distribute-rgt-neg-in_binary64`
598×	`distribute-lft-neg-in_binary64`
529×	`associate-l_binary64`
441×	`fma-neg_binary64`
421×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	826
1	44	790
2	122	790
3	486	790
4	2394	790
5	4416	790
6	6501	790
7	7873	790

Stop Event

1×	node limit

Counts

278 → 215

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
x
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
x
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3))) x)

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

eval342.0ms (4.9%)

Compiler: Compiled 11857 to 5985 computations (49.5% saved)

prune87.0ms (1.3%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	576	5	581
Fresh	3	0	3
Picked	1	0	1
Done	0	6	6
Total	580	11	591

Error

Counts

591 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.5b	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x y)) 2)) (/.f64 1 (+.f64 x (.f64 x (.f64 x y)))))
	22.6b	x
▶	11.1b	(/.f64 (+.f64 x (.f64 (neg.f64 (.f64 (.f64 (.f64 x y) y) x)) x)) (+.f64 1 (*.f64 x y)))
✓	8.6b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 x y) (.f64 x y))) x) (+.f64 1 (*.f64 x y)))
✓	0.1b	(-.f64 x (.f64 x (.f64 x y)))
▶	31.8b	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
✓	40.0b	(.f64 x (.f64 x (neg.f64 y)))
✓	45.7b	(.f64 (.f64 x x) (neg.f64 y))
✓	11.1b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) y) x)) x) (+.f64 1 (*.f64 x y)))
▶	31.8b	(pow.f64 (sqrt.f64 (-.f64 x (.f64 x (.f64 x y)))) 2)
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))

Compiler

Compiled 140 to 82 computations (41.4% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (.f64 x (.f64 x y)) 2)
	0.2b	(.f64 x (.f64 x y))
✓	4.5b	(-.f64 (.f64 x x) (pow.f64 (.f64 x (*.f64 x y)) 2))
✓	27.7b	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x y)) 2)) (/.f64 1 (+.f64 x (.f64 x (.f64 x y)))))

Compiler

Compiled 72 to 21 computations (70.8% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x y)) 2)) (/.f64 1 (+.f64 x (.f64 x (.f64 x y)))))
1.0ms	y	@	inf	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x y)) 2)) (/.f64 1 (+.f64 x (.f64 x (.f64 x y)))))
1.0ms	x	@	0	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x y)) 2)) (/.f64 1 (+.f64 x (.f64 x (.f64 x y)))))
1.0ms	x	@	inf	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x y)) 2)) (/.f64 1 (+.f64 x (.f64 x (.f64 x y)))))
1.0ms	y	@	0	(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x y)) 2)) (/.f64 1 (+.f64 x (.f64 x (.f64 x y)))))

rewrite289.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`log-prod_binary64`
684×	`fma-def_binary64`
338×	`pow2_binary64`
285×	`egg-rr`
248×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	288	36
2	3985	36

Stop Event

1×	node limit

Counts

3 → 438

Calls

Call 1

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

Outputs

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

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

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

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

887×	`fma-neg_binary64`
607×	`unswap-sqr_binary64`
480×	`difference-of-squares_binary64`
463×	`associate-l_binary64`
438×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	838
1	39	802
2	103	802
3	380	802
4	2125	802
5	5516	802

Stop Event

1×	node limit

Counts

510 → 451

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
✓	0.1b	(*.f64 x (sqrt.f64 y))
✓	0.2b	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)

Compiler

Compiled 25 to 10 computations (60% saved)

series12.0ms (0.2%)

Counts

3 → 37

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
1.0ms	y	@	-inf	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
1.0ms	x	@	0	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
1.0ms	y	@	inf	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
1.0ms	y	@	-inf	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))

rewrite65.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`pow1_binary64`
788×	`add-log-exp_binary64`
787×	`log1p-expm1-u_binary64`
787×	`expm1-log1p-u_binary64`
767×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	177	23
2	2267	23

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs
(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
(*.f64 x (sqrt.f64 y))
(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))

Outputs

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

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

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

simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-neg_binary64`
860×	`fma-def_binary64`
542×	`distribute-rgt-neg-in_binary64`
484×	`cancel-sign-sub-inv_binary64`
421×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	275
1	24	266
2	52	266
3	127	266
4	360	266
5	1258	266
6	3404	266
7	5008	266
8	7253	266

Stop Event

1×	node limit

Counts

110 → 81

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 x y) y)
✓	1.5b	(.f64 (neg.f64 (.f64 (.f64 (.f64 x y) y) x)) x)
	3.8b	(.f64 (.f64 (*.f64 x y) y) x)
✓	6.9b	(/.f64 (+.f64 x (.f64 (neg.f64 (.f64 (.f64 (.f64 x y) y) x)) x)) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 73 to 14 computations (80.8% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (+.f64 x (.f64 (neg.f64 (.f64 (.f64 (.f64 x y) y) x)) x)) (+.f64 1 (*.f64 x y)))
0.0ms	x	@	-inf	(/.f64 (+.f64 x (.f64 (neg.f64 (.f64 (.f64 (.f64 x y) y) x)) x)) (+.f64 1 (*.f64 x y)))
0.0ms	x	@	inf	(/.f64 (+.f64 x (.f64 (neg.f64 (.f64 (.f64 (.f64 x y) y) x)) x)) (+.f64 1 (*.f64 x y)))
0.0ms	y	@	inf	(/.f64 (+.f64 x (.f64 (neg.f64 (.f64 (.f64 (.f64 x y) y) x)) x)) (+.f64 1 (*.f64 x y)))
0.0ms	y	@	-inf	(/.f64 (+.f64 x (.f64 (neg.f64 (.f64 (.f64 (.f64 x y) y) x)) x)) (+.f64 1 (*.f64 x y)))

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`fma-def_binary64`
729×	`log-prod_binary64`
367×	`fma-neg_binary64`
212×	`expm1-udef_binary64`
212×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	272	28
2	4139	28

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

601×	`distribute-rgt-neg-in_binary64`
575×	`distribute-lft-neg-in_binary64`
527×	`associate-l_binary64`
393×	`cancel-sign-sub-inv_binary64`
372×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	524
1	41	506
2	116	506
3	449	506
4	2252	506
5	3937	506
6	5600	506
7	6820	506

Stop Event

1×	node limit

Counts

110 → 69

Calls

Call 1

Inputs
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))
(.f64 -1 (.f64 (pow.f64 y 2) (pow.f64 x 3)))

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

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 x (.f64 x (.f64 x y)))
✓	0.0b	(sqrt.f64 (-.f64 x (.f64 x (.f64 x y))))
	0.2b	(.f64 x (.f64 x y))
✓	0.2b	(pow.f64 (sqrt.f64 (-.f64 x (.f64 x (.f64 x y)))) 2)

Compiler

Compiled 38 to 9 computations (76.3% saved)

series18.0ms (0.3%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(pow.f64 (sqrt.f64 (-.f64 x (.f64 x (.f64 x y)))) 2)
2.0ms	y	@	inf	(pow.f64 (sqrt.f64 (-.f64 x (.f64 x (.f64 x y)))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (-.f64 x (.f64 x (.f64 x y)))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (-.f64 x (.f64 x (.f64 x y)))) 2)
1.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (-.f64 x (.f64 x (.f64 x y)))) 2)

rewrite64.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`pow1_binary64`
842×	`add-log-exp_binary64`
841×	`log1p-expm1-u_binary64`
841×	`expm1-log1p-u_binary64`
823×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	199	22
2	2377	22

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (-.f64 x (.f64 x (.f64 x y)))) 2)
(sqrt.f64 (-.f64 x (.f64 x (.f64 x y))))

Outputs

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

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

938×	`fma-def_binary64`
642×	`fma-neg_binary64`
561×	`associate-l_binary64`
543×	`associate-r_binary64`
306×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	837
1	436	651
2	1591	614
3	6845	610

Stop Event

1×	node limit

Counts

89 → 103

Calls

Call 1

Inputs
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (pow.f64 x 2)))
(+.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (pow.f64 x 2))))
(+.f64 (.f64 5/64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 6) (.f64 (pow.f64 y 3) (pow.f64 x 2))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 y 3)))) (pow.f64 (.f64 -1/8 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) 2)) (pow.f64 x 2))) (+.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (pow.f64 x 2))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 y 3)))) (pow.f64 (.f64 -1/8 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) 2)) (pow.f64 x 2))) (+.f64 (.f64 5/64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 6) (.f64 (pow.f64 y 3) (pow.f64 x 2))))) (+.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (pow.f64 x 2))))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (pow.f64 x 2))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (pow.f64 x 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 y 2))) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 y 2)))) x)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 x 2)))))))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (pow.f64 x 3)) (*.f64 1/4 (pow.f64 x 3)))) x))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/8 (pow.f64 x 4)) (.f64 -1/8 (pow.f64 x 4)))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (pow.f64 x 3)) (.f64 1/4 (pow.f64 x 3)))) x)))
(.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 y))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y)))) (.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 y)))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) x)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 y))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) x)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (+.f64 (.f64 1/16 (.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 y)))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 y)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 y))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))) (+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 y))) (.f64 1/8 (*.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))) (+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 y))) (+.f64 (.f64 1/16 (.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (.f64 1/8 (*.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))))))
(sqrt.f64 x)
(+.f64 (.f64 -1/2 (.f64 y (sqrt.f64 (pow.f64 x 3)))) (sqrt.f64 x))
(+.f64 (.f64 -1/2 (.f64 y (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (pow.f64 x 5)))) (sqrt.f64 x)))
(+.f64 (.f64 -1/2 (.f64 y (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 x 7)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (pow.f64 x 5)))) (sqrt.f64 x))))

Outputs
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (pow.f64 x 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 y (.f64 x (neg.f64 x)))
(+.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (pow.f64 x 2))))
(+.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (*.f64 x x))))
(-.f64 x (.f64 x (.f64 x y)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(+.f64 (.f64 5/64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 6) (.f64 (pow.f64 y 3) (pow.f64 x 2))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 y 3)))) (pow.f64 (.f64 -1/8 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) 2)) (pow.f64 x 2))) (+.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (pow.f64 x 2))))))
(+.f64 (/.f64 5/64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (.f64 (.f64 x x) (pow.f64 y 3)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 y 3))) (pow.f64 (.f64 -1/8 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) 2)) (.f64 x x)) (+.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 x x))))))
(+.f64 (-.f64 x (.f64 x (.f64 x y))) (-.f64 (/.f64 -5/64 (.f64 x (.f64 x (pow.f64 y 3)))) (/.f64 (+.f64 (/.f64 -1/16 (pow.f64 y 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 -1/8 (/.f64 -1 (sqrt.f64 -1)))) 2)) (*.f64 x x))))
(+.f64 x (-.f64 (-.f64 (/.f64 (/.f64 -5/64 (pow.f64 y 3)) (.f64 x x)) (.f64 y (.f64 x x))) (/.f64 (+.f64 (/.f64 -1/16 (pow.f64 y 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 1/8 (sqrt.f64 -1))) 2)) (*.f64 x x))))
(+.f64 (/.f64 (/.f64 -5/64 (pow.f64 y 3)) (.f64 x x)) (fma.f64 x (fma.f64 x (neg.f64 y) 1) (/.f64 (-.f64 (/.f64 1/16 (pow.f64 y 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 1/8 (sqrt.f64 -1))) 2)) (*.f64 x x))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 y 3)))) (pow.f64 (.f64 -1/8 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) 2)) (pow.f64 x 2))) (+.f64 (.f64 5/64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 6) (.f64 (pow.f64 y 3) (pow.f64 x 2))))) (+.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (pow.f64 x 2))))))
(+.f64 (/.f64 5/64 (.f64 (pow.f64 (sqrt.f64 -1) 6) (.f64 (.f64 x x) (pow.f64 y 3)))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 y 3))) (pow.f64 (.f64 -1/8 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) 2)) (.f64 x x)) (+.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 x x))))))
(+.f64 (-.f64 x (.f64 x (.f64 x y))) (-.f64 (/.f64 -5/64 (.f64 x (.f64 x (pow.f64 y 3)))) (/.f64 (+.f64 (/.f64 -1/16 (pow.f64 y 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 -1/8 (/.f64 -1 (sqrt.f64 -1)))) 2)) (*.f64 x x))))
(+.f64 x (-.f64 (-.f64 (/.f64 (/.f64 -5/64 (pow.f64 y 3)) (.f64 x x)) (.f64 y (.f64 x x))) (/.f64 (+.f64 (/.f64 -1/16 (pow.f64 y 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 1/8 (sqrt.f64 -1))) 2)) (*.f64 x x))))
(+.f64 (/.f64 (/.f64 -5/64 (pow.f64 y 3)) (.f64 x x)) (fma.f64 x (fma.f64 x (neg.f64 y) 1) (/.f64 (-.f64 (/.f64 1/16 (pow.f64 y 3)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 1/8 (sqrt.f64 -1))) 2)) (*.f64 x x))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (pow.f64 x 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (*.f64 x x)))
(.f64 (.f64 x x) (neg.f64 y))
(.f64 y (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (pow.f64 x 2))))
(+.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (*.f64 x x))))
(-.f64 x (.f64 x (.f64 x y)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (pow.f64 x 2))))))
(fma.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) y) (fma.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) (fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) y) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 x x))))))
(+.f64 (/.f64 1/4 y) (fma.f64 1 x (fma.f64 (neg.f64 y) (*.f64 x x) (/.f64 -1/4 y))))
(+.f64 x (+.f64 (/.f64 1/4 y) (fma.f64 y (*.f64 x (neg.f64 x)) (/.f64 -1/4 y))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (+.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 y 2))) (.f64 -1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 y 2)))) x)) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) y)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (pow.f64 x 2)))))))
(fma.f64 -1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) y) (fma.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x) (fma.f64 1/4 (/.f64 (pow.f64 (sqrt.f64 -1) 2) y) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (.f64 x x))))))
(+.f64 (/.f64 1/4 y) (fma.f64 1 x (fma.f64 (neg.f64 y) (*.f64 x x) (/.f64 -1/4 y))))
(+.f64 x (+.f64 (/.f64 1/4 y) (fma.f64 y (*.f64 x (neg.f64 x)) (/.f64 -1/4 y))))
x
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(+.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (*.f64 x x))))
(-.f64 x (.f64 x (.f64 x y)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (pow.f64 x 3)) (*.f64 1/4 (pow.f64 x 3)))) x))
(+.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (*.f64 x x))))
(-.f64 x (.f64 x (.f64 x y)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/8 (pow.f64 x 4)) (.f64 -1/8 (pow.f64 x 4)))) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4 (pow.f64 x 3)) (.f64 1/4 (pow.f64 x 3)))) x)))
(+.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 y (*.f64 x x))))
(-.f64 x (.f64 x (.f64 x y)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(*.f64 x (fma.f64 x (neg.f64 y) 1))
(.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 y))
(.f64 (sqrt.f64 -1) (.f64 x (sqrt.f64 y)))
(.f64 x (.f64 (sqrt.f64 -1) (sqrt.f64 y)))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y)))) (.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 y)))
(fma.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y))) (.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 y)))
(fma.f64 (sqrt.f64 -1) (.f64 x (sqrt.f64 y)) (.f64 (sqrt.f64 (/.f64 1 y)) (/.f64 1/2 (sqrt.f64 -1))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) x)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 y))))
(fma.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 1 (.f64 x (pow.f64 (sqrt.f64 -1) 3)))) (.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 y))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (neg.f64 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) (*.f64 x (sqrt.f64 y)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 -1)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) x) (.f64 x (.f64 (sqrt.f64 -1) (sqrt.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) x)) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (+.f64 (.f64 1/16 (.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 y)))))
(fma.f64 1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 y))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 1 (.f64 x (pow.f64 (sqrt.f64 -1) 3)))) (fma.f64 1/16 (.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -1) 5))) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 y)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (neg.f64 (.f64 (sqrt.f64 -1) x))) (fma.f64 1/16 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (.f64 x (.f64 x (pow.f64 (sqrt.f64 -1) 5)))) (.f64 (sqrt.f64 -1) (*.f64 x (sqrt.f64 y))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 -1)) (fma.f64 (sqrt.f64 -1) (.f64 x (sqrt.f64 y)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 (/.f64 1/8 (sqrt.f64 -1)) x) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (/.f64 1/16 (.f64 x (.f64 x (pow.f64 (sqrt.f64 -1) 5))))))))
(.f64 -1 (.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 y)))
(neg.f64 (.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 y)))
(.f64 (sqrt.f64 -1) (neg.f64 (.f64 x (sqrt.f64 y))))
(.f64 (sqrt.f64 -1) (.f64 x (neg.f64 (sqrt.f64 y))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))) (.f64 -1 (.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 y))))
(fma.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y))) (neg.f64 (.f64 (*.f64 (sqrt.f64 -1) x) (sqrt.f64 y))))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 y)) (.f64 (sqrt.f64 -1) 1/2)) (.f64 (sqrt.f64 -1) (.f64 x (sqrt.f64 y))))
(.f64 (sqrt.f64 -1) (-.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 y))) (*.f64 x (sqrt.f64 y))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))) (+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 y))) (.f64 1/8 (*.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))))
(fma.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y))) (fma.f64 -1 (.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 y)) (.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 (sqrt.f64 -1) x)))))
(fma.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y))) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 1/8 (/.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) (*.f64 x (sqrt.f64 y)))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 1/8 (/.f64 (sqrt.f64 -1) x)) (.f64 (sqrt.f64 -1) (-.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 y))) (.f64 x (sqrt.f64 y)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y)))) (+.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 y))) (+.f64 (.f64 1/16 (.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (.f64 1/8 (*.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y))) (fma.f64 -1 (.f64 (.f64 (sqrt.f64 -1) x) (sqrt.f64 y)) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (/.f64 (sqrt.f64 -1) (.f64 x x))) (.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (/.f64 (sqrt.f64 -1) x))))))
(fma.f64 1/2 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 y))) (-.f64 (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (/.f64 (sqrt.f64 -1) (.f64 x x))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 1/8 (/.f64 (sqrt.f64 -1) x)))) (.f64 (sqrt.f64 -1) (*.f64 x (sqrt.f64 y)))))
(+.f64 (.f64 (sqrt.f64 -1) (-.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 y))) (.f64 x (sqrt.f64 y)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (/.f64 (sqrt.f64 -1) (.f64 x x))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 1/8 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (.f64 1/8 (/.f64 (sqrt.f64 -1) x)) (.f64 (sqrt.f64 -1) (-.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 y))) (.f64 x (sqrt.f64 y))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (.f64 1/16 (/.f64 (sqrt.f64 -1) (*.f64 x x)))))
(sqrt.f64 x)
(+.f64 (.f64 -1/2 (.f64 y (sqrt.f64 (pow.f64 x 3)))) (sqrt.f64 x))
(fma.f64 -1/2 (*.f64 y (sqrt.f64 (pow.f64 x 3))) (sqrt.f64 x))
(fma.f64 y (*.f64 -1/2 (pow.f64 x 3/2)) (sqrt.f64 x))
(+.f64 (.f64 -1/2 (.f64 y (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (pow.f64 x 5)))) (sqrt.f64 x)))
(fma.f64 -1/2 (.f64 y (sqrt.f64 (pow.f64 x 3))) (fma.f64 -1/8 (.f64 (*.f64 y y) (sqrt.f64 (pow.f64 x 5))) (sqrt.f64 x)))
(fma.f64 y (.f64 -1/2 (pow.f64 x 3/2)) (fma.f64 -1/8 (.f64 y (*.f64 y (pow.f64 x 5/2))) (sqrt.f64 x)))
(+.f64 (.f64 -1/2 (.f64 y (sqrt.f64 (pow.f64 x 3)))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 x 7)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 y 2) (sqrt.f64 (pow.f64 x 5)))) (sqrt.f64 x))))
(fma.f64 -1/2 (.f64 y (sqrt.f64 (pow.f64 x 3))) (fma.f64 -1/16 (.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 x 7))) (fma.f64 -1/8 (.f64 (.f64 y y) (sqrt.f64 (pow.f64 x 5))) (sqrt.f64 x))))
(fma.f64 -1/2 (.f64 y (sqrt.f64 (pow.f64 x 3))) (fma.f64 -1/16 (.f64 (pow.f64 y 3) (fabs.f64 (pow.f64 x 7/2))) (fma.f64 -1/8 (.f64 (.f64 y y) (sqrt.f64 (pow.f64 x 5))) (sqrt.f64 x))))
(fma.f64 y (.f64 -1/2 (pow.f64 x 3/2)) (fma.f64 (pow.f64 y 3) (.f64 -1/16 (pow.f64 x 7/2)) (fma.f64 -1/8 (.f64 y (.f64 y (pow.f64 x 5/2))) (sqrt.f64 x))))

eval372.0ms (5.4%)

Compiler: Compiled 21657 to 8881 computations (59% saved)

prune149.0ms (2.1%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	830	2	832
Fresh	1	0	1
Picked	1	0	1
Done	1	8	9
Total	833	10	843

Error

Counts

843 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	8.6b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 x y) (.f64 x y))) x) (+.f64 1 (*.f64 x y)))
	22.6b	x
✓	0.1b	(-.f64 x (.f64 x (.f64 x y)))
✓	31.8b	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
✓	40.0b	(.f64 x (.f64 x (neg.f64 y)))
✓	45.7b	(.f64 (.f64 x x) (neg.f64 y))
✓	11.1b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) y) x)) x) (+.f64 1 (*.f64 x y)))
	33.3b	(.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x y)) (.f64 x x)) y)) (/.f64 1 (+.f64 x (.f64 x (*.f64 x y)))))
✓	11.1b	(/.f64 (+.f64 x (.f64 (neg.f64 (.f64 (.f64 (.f64 x y) y) x)) x)) (+.f64 1 (*.f64 x y)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))

Compiler

Compiled 132 to 74 computations (43.9% saved)

regimes102.0ms (1.5%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	(.f64 x (-.f64 1 (.f64 x y)))
22.0ms	(.f64 x (-.f64 1 (.f64 x y)))
22.0ms	x
22.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(.f64 x (-.f64 1 (.f64 x y)))`
0.1b	1	`(.f64 x (-.f64 1 (.f64 x y)))`

Compiler

Compiled 266 to 121 computations (54.5% saved)

regimes103.0ms (1.5%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

73.0ms	x
27.0ms	y

Results

Error	Segments	Branch
15.8b	7	`x`
14.1b	3	`y`

Compiler

Compiled 23 to 11 computations (52.2% saved)

bsearch128.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	1.4424187877997584e+213	5.745001487480594e+224
60.0ms	-3.9446446729665544e+96	-1.7136912199392666e+96

Compiler

Compiled 209 to 145 computations (30.6% saved)

regimes79.0ms (1.1%)

Counts

4 → 9

Calls

Call 1

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

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

Calls

2 calls:

66.0ms	x
11.0ms	y

Results

Error	Segments	Branch
15.6b	9	`x`
16.8b	2	`y`

Compiler

Compiled 17 to 9 computations (47.1% saved)

bsearch387.0ms (5.6%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
51.0ms	9.575654985852814e+98	2.421167591286515e+103
147.0ms	1.4144227245285003e+35	1.5132868717082304e+38
29.0ms	1.6683690921749855e-31	6.473714356114695e-19
30.0ms	4.728283334289534e-61	1.5591293434273352e-53
31.0ms	5.179525606883129e-113	2.6174416262400996e-109
30.0ms	2.2812137826926764e-133	1.058390122956985e-131
29.0ms	-1.7831124329807828e-31	-6.392290796626479e-32
39.0ms	-8.586764433490817e+113	-4.3242452389450266e+109

Compiler

Compiled 326 to 226 computations (30.7% saved)

regimes23.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

2 calls:

13.0ms	x
8.0ms	y

Results

Error	Segments	Branch
22.6b	1	`x`
22.6b	1	`y`

Compiler

Compiled 11 to 6 computations (45.5% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	131
1	59	131
2	78	131
3	92	131
4	98	131
5	99	131

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 x (.f64 x y)))
(if (<=.f64 y -3899999999999999945461141794519936127493000930527525343470307404393285846037704029382996182171648) (.f64 x (.f64 x (neg.f64 y))) (if (<=.f64 y 569999999999999997026134158101754970791981112295422323788812507327241282897992010438889815485319361537068874866612515790465144888857572683694953581355111240641734653802187739409918538426044337797188877676063142771910258982912) x (.f64 x (.f64 x (neg.f64 y)))))
(if (<=.f64 x -44999999999999996054401922698028506882896851942671915240757339993667745517598509633596438973283938845486743552) x (if (<=.f64 x -8143817938582825/45671926166590716193865151022383844364247891968) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 x 1458457767747937/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) x (if (<=.f64 x 8975696050079733/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 x 6843722572292109/14474011154664524427946373126085988481658748083205070504932198000989141204992) x (if (<=.f64 x 476235187477737/2854495385411919762116571938898990272765493248) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 x 150000000000000006067947700923341471744) x (if (<=.f64 x 959999999999999949216033129694732913700932790139104187577174917771048799566734650715347421665165312) (.f64 (.f64 x x) (neg.f64 y)) x))))))))
x

Outputs
(-.f64 x (.f64 x (.f64 x y)))
(if (<=.f64 y -3899999999999999945461141794519936127493000930527525343470307404393285846037704029382996182171648) (.f64 x (.f64 x (neg.f64 y))) (if (<=.f64 y 569999999999999997026134158101754970791981112295422323788812507327241282897992010438889815485319361537068874866612515790465144888857572683694953581355111240641734653802187739409918538426044337797188877676063142771910258982912) x (.f64 x (.f64 x (neg.f64 y)))))
(if (<=.f64 x -44999999999999996054401922698028506882896851942671915240757339993667745517598509633596438973283938845486743552) x (if (<=.f64 x -8143817938582825/45671926166590716193865151022383844364247891968) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 x 1458457767747937/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) x (if (<=.f64 x 8975696050079733/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 x 6843722572292109/14474011154664524427946373126085988481658748083205070504932198000989141204992) x (if (<=.f64 x 476235187477737/2854495385411919762116571938898990272765493248) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 x 150000000000000006067947700923341471744) x (if (<=.f64 x 959999999999999949216033129694732913700932790139104187577174917771048799566734650715347421665165312) (.f64 (.f64 x x) (neg.f64 y)) x))))))))
(if (<=.f64 x -44999999999999996054401922698028506882896851942671915240757339993667745517598509633596438973283938845486743552) x (if (<=.f64 x -8143817938582825/45671926166590716193865151022383844364247891968) (neg.f64 (.f64 (.f64 x x) y)) (if (<=.f64 x 1458457767747937/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) x (if (<=.f64 x 8975696050079733/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864) (neg.f64 (.f64 (.f64 x x) y)) (if (<=.f64 x 6843722572292109/14474011154664524427946373126085988481658748083205070504932198000989141204992) x (if (<=.f64 x 476235187477737/2854495385411919762116571938898990272765493248) (neg.f64 (.f64 (.f64 x x) y)) (if (<=.f64 x 150000000000000006067947700923341471744) x (if (<=.f64 x 959999999999999949216033129694732913700932790139104187577174917771048799566734650715347421665165312) (neg.f64 (.f64 (.f64 x x) y)) x))))))))
(if (<=.f64 x -44999999999999996054401922698028506882896851942671915240757339993667745517598509633596438973283938845486743552) x (if (<=.f64 x -8143817938582825/45671926166590716193865151022383844364247891968) (neg.f64 (.f64 y (.f64 x x))) (if (<=.f64 x 1458457767747937/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) x (if (<=.f64 x 8975696050079733/173291855882550928723650886508942731464777317210988535948154973788413831737851601439998400381508723631086950685087723239310884864) (neg.f64 (.f64 y (.f64 x x))) (if (<=.f64 x 6843722572292109/14474011154664524427946373126085988481658748083205070504932198000989141204992) x (if (<=.f64 x 476235187477737/2854495385411919762116571938898990272765493248) (neg.f64 (.f64 y (.f64 x x))) (if (<=.f64 x 150000000000000006067947700923341471744) x (if (<=.f64 x 959999999999999949216033129694732913700932790139104187577174917771048799566734650715347421665165312) (neg.f64 (.f64 y (.f64 x x))) x))))))))
x

Compiler

Compiled 98 to 47 computations (52% saved)

soundness0.0ms (0%)

end231.0ms (3.3%)

Compiler: Compiled 92 to 41 computations (55.4% saved)

Iter	Nodes	Cost
0	7	10
1	16	10
2	33	10
3	71	10
4	162	10
5	239	10
6	327	10
7	431	10
8	672	10
9	717	10
10	749	10

Iter	Nodes	Cost
0	7	10
1	16	10
2	33	10
3	71	10
4	162	10
5	239	10
6	327	10
7	431	10
8	672	10
9	717	10
10	749	10

Iter	Nodes	Cost
0	7	10
1	16	10
2	33	10
3	71	10
4	162	10
5	239	10
6	327	10
7	431	10
8	672	10
9	717	10
10	749	10