Details

analyze57.0ms (1%)

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)

sample1.1s (19%)

Results

1.1s	8256×	body	256	valid
18.0ms	178×	body	256	invalid

preprocess42.0ms (0.7%)

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)

simplify22.0ms (0.4%)

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)

localize7.0ms (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	x	@	inf	(.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	y	@	inf	(.f64 x (-.f64 1 (.f64 x y)))

rewrite55.0ms (0.9%)

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)))))))))

simplify85.0ms (1.4%)

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)

prune11.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	16	8	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	9	25

Error

0.0b

Counts

25 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.9b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
▶	11.3b	(/.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))
▶	39.7b	(.f64 x (.f64 x (neg.f64 y)))
▶	43.7b	(.f64 -1 (.f64 y (pow.f64 x 2)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
	23.0b	x
	31.1b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) 2)
	1.5b	(pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) 3)

Compiler

Compiled 194 to 130 computations (33% 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))

rewrite61.0ms (1%)

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)))))))

simplify97.0ms (1.6%)

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)

localize7.0ms (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)))

rewrite60.0ms (1%)

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))))))))

simplify104.0ms (1.8%)

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))

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.3b	(*.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	y	@	-inf	(*.f64 y (pow.f64 x 2))

rewrite45.0ms (0.8%)

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))))))))

simplify6.0ms (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

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (pow.f64 (*.f64 x y) 2))
✓	0.2b	(pow.f64 (*.f64 x y) 2)
✓	0.5b	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x)
✓	5.8b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 50 to 26 computations (48% saved)

series15.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

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

rewrite91.0ms (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	52
1	244	40
2	3379	40

Stop Event

1×	node limit

Counts

4 → 162

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

simplify101.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

643×	`associate-l_binary64`
635×	`distribute-rgt-neg-in_binary64`
565×	`fma-def_binary64`
543×	`distribute-lft-neg-in_binary64`
507×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	1098
1	54	1026
2	145	1026
3	572	1026
4	2822	1026
5	5065	1026
6	7131	1026

Stop Event

1×	node limit

Counts

258 → 178

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

localize26.0ms (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)
✓	1.7b	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x)
✓	9.1b	(/.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)

series18.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x)
2.0ms	y	@	-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	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 (1.6%)

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))))))) 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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 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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 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(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))))))

simplify72.0ms (1.2%)

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))

eval206.0ms (3.5%)

Compiler: Compiled 9828 to 5448 computations (44.6% saved)

prune85.0ms (1.4%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	470	13	483
Fresh	3	0	3
Picked	1	0	1
Done	3	2	5
Total	477	15	492

Error

Counts

492 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	23.0b	x
	44.7b	(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (.f64 x y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (*.f64 x y)))))
	4.9b	(.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) 1) (/.f64 x (fma.f64 x y 1)))
	9.9b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) y) x)) x) (+.f64 1 (*.f64 x y)))
	31.1b	(pow.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 x y)) x)) 2)
✓	39.7b	(.f64 x (.f64 x (neg.f64 y)))
▶	43.7b	(.f64 (.f64 x x) (neg.f64 y))
	13.4b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 y (.f64 x (*.f64 x y)))))
▶	0.5b	(pow.f64 (/.f64 1 (.f64 (-.f64 1 (.f64 x y)) x)) -1)
▶	16.2b	(/.f64 (.f64 (-.f64 1 (.f64 x (.f64 x (.f64 y y)))) x) (+.f64 1 (*.f64 x y)))
▶	0.1b	(-.f64 x (.f64 x (.f64 x y)))
▶	52.2b	(.f64 -1 (pow.f64 (.f64 x (sqrt.f64 y)) 2))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
	49.6b	(/.f64 (.f64 (.f64 y (.f64 (.f64 x x) (neg.f64 y))) x) (+.f64 1 (*.f64 x y)))
	1.5b	(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 (.f64 x y)) x)) 2) (cbrt.f64 (.f64 (-.f64 1 (*.f64 x y)) x)))

Compiler

Compiled 398 to 253 computations (36.4% saved)

localize6.0ms (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)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite82.0ms (1.4%)

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))))))))

simplify93.0ms (1.6%)

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
✓	8.3b	(.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))

rewrite73.0ms (1.2%)

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))))))))

simplify108.0ms (1.8%)

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))

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (-.f64 1 (.f64 x (.f64 x (.f64 y y)))) x)
✓	4.2b	(.f64 x (.f64 x (*.f64 y y)))
✓	5.8b	(/.f64 (.f64 (-.f64 1 (.f64 x (.f64 x (.f64 y y)))) x) (+.f64 1 (*.f64 x y)))
✓	8.4b	(.f64 x (.f64 y y))

Compiler

Compiled 65 to 20 computations (69.2% saved)

series19.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

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

rewrite118.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

727×	`log-prod_binary64`
530×	`fma-def_binary64`
332×	`pow2_binary64`
296×	`pow-unpow_binary64`
232×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	263	37
2	3811	37

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

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

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

simplify113.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

668×	`distribute-rgt-neg-in_binary64`
643×	`distribute-lft-neg-in_binary64`
602×	`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	507	910
4	2654	910
5	4803	910
6	6870	910

Stop Event

1×	node limit

Counts

228 → 145

Calls

Call 1

Inputs
(*.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)
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)

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

localize30.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 1 (.f64 x y)) x)
✓	0.1b	(/.f64 1 (.f64 (-.f64 1 (.f64 x y)) x))
✓	0.4b	(pow.f64 (/.f64 1 (.f64 (-.f64 1 (.f64 x y)) x)) -1)

Compiler

Compiled 41 to 22 computations (46.3% saved)

series24.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(pow.f64 (/.f64 1 (.f64 (-.f64 1 (.f64 x y)) x)) -1)
3.0ms	y	@	inf	(pow.f64 (/.f64 1 (.f64 (-.f64 1 (.f64 x y)) x)) -1)
3.0ms	x	@	-inf	(pow.f64 (/.f64 1 (.f64 (-.f64 1 (.f64 x y)) x)) -1)
2.0ms	y	@	-inf	(pow.f64 (/.f64 1 (.f64 (-.f64 1 (.f64 x y)) x)) -1)
2.0ms	y	@	0	(/.f64 1 (.f64 (-.f64 1 (.f64 x y)) x))

rewrite84.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`pow1_binary64`
897×	`add-log-exp_binary64`
895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
106×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	214	33
2	2700	33

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

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

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

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

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

simplify93.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

536×	`fma-def_binary64`
428×	`distribute-rgt-out_binary64`
415×	`unswap-sqr_binary64`
388×	`associate-l_binary64`
347×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	1114
1	253	1054
2	1158	1054
3	5018	1052

Stop Event

1×	node limit

Counts

173 → 98

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

localize18.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 12 computations (53.8% saved)

series9.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

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

rewrite53.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`pow1_binary64`
539×	`add-log-exp_binary64`
539×	`log1p-expm1-u_binary64`
539×	`expm1-log1p-u_binary64`
523×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	145	13
2	1601	13

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

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 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))))))))

((#(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 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))))))))

simplify169.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1101×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
560×	`fabs-mul_binary64`
528×	`pow-sqr_binary64`
517×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	156
1	15	156
2	26	156
3	52	156
4	123	156
5	377	156
6	1466	156
7	2355	156
8	2519	156
9	2732	156
10	2952	156
11	3258	156
12	3660	156
13	4153	156
14	4721	156
15	5407	156
16	6238	156
17	6632	156
18	6922	156
19	7198	156
20	7272	156
21	7308	156

Stop Event

1×	node limit

Counts

59 → 38

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)

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))

eval160.0ms (2.7%)

Compiler: Compiled 5522 to 2990 computations (45.9% saved)

prune57.0ms (1%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	349	4	353
Fresh	5	3	8
Picked	1	0	1
Done	1	5	6
Total	356	12	368

Error

Counts

368 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	23.0b	x
▶	0.5b	(/.f64 (-.f64 1 (*.f64 x y)) (/.f64 1 x))
▶	9.9b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) y) x)) x) (+.f64 1 (*.f64 x y)))
▶	0.2b	(/.f64 x (/.f64 1 (-.f64 1 (*.f64 x y))))
✓	39.7b	(.f64 x (.f64 x (neg.f64 y)))
▶	0.5b	(/.f64 1 (/.f64 (/.f64 1 (-.f64 1 (*.f64 x y))) x))
✓	43.7b	(.f64 (.f64 x x) (neg.f64 y))
✓	16.2b	(/.f64 (.f64 (-.f64 1 (.f64 x (.f64 x (.f64 y y)))) x) (+.f64 1 (*.f64 x y)))
✓	0.1b	(-.f64 x (.f64 x (.f64 x y)))
	53.1b	(.f64 -1 (.f64 (.f64 (.f64 x (sqrt.f64 y)) x) (sqrt.f64 y)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
▶	49.6b	(/.f64 (.f64 (.f64 y (.f64 (.f64 x x) (neg.f64 y))) x) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 226 to 147 computations (35% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 15 computations (48.3% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 1 (-.f64 1 (*.f64 x y)))
0.0ms	y	@	inf	(/.f64 1 (-.f64 1 (*.f64 x y)))
0.0ms	x	@	0	(/.f64 1 (-.f64 1 (*.f64 x y)))
0.0ms	y	@	-inf	(/.f64 1 (-.f64 1 (*.f64 x y)))
0.0ms	x	@	-inf	(/.f64 1 (-.f64 1 (*.f64 x y)))

rewrite92.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`pow1_binary64`
864×	`add-log-exp_binary64`
864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
846×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	178	20
2	2414	20

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Rules

584×	`fma-def_binary64`
402×	`associate-*l/_binary64`
357×	`associate-*r/_binary64`
353×	`associate-/l*_binary64`
349×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	836
1	120	790
2	354	778
3	1443	770
4	4113	696

Stop Event

1×	node limit

Counts

106 → 78

Calls

Call 1

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

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (-.f64 1 (*.f64 x y)) (/.f64 1 x))

Compiler

Compiled 25 to 13 computations (48% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`pow1_binary64`
917×	`add-log-exp_binary64`
917×	`log1p-expm1-u_binary64`
917×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	180	10
2	2521	10

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify86.0ms (1.5%)

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

61 → 42

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)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 1 (-.f64 1 (*.f64 x y))) x)
	0.1b	(/.f64 1 (-.f64 1 (*.f64 x y)))
✓	0.4b	(/.f64 1 (/.f64 (/.f64 1 (-.f64 1 (*.f64 x y))) x))

Compiler

Compiled 40 to 22 computations (45% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite72.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`log-prod_binary64`
447×	`prod-diff_binary64`
312×	`pow-prod-down_binary64`
254×	`pow2_binary64`
176×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	204	23
2	2857	23

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

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

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Rules

467×	`associate-*l/_binary64`
412×	`fma-def_binary64`
387×	`associate-*r/_binary64`
366×	`unswap-sqr_binary64`
346×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	878
1	125	836
2	380	836
3	1556	826
4	4161	790

Stop Event

1×	node limit

Counts

170 → 141

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

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(.f64 (.f64 y (.f64 (.f64 x x) (neg.f64 y))) x)
✓	1.9b	(.f64 y (.f64 (*.f64 x x) (neg.f64 y)))
✓	5.8b	(/.f64 (.f64 (.f64 y (.f64 (.f64 x x) (neg.f64 y))) x) (+.f64 1 (*.f64 x y)))
	8.3b	(.f64 (.f64 x x) (neg.f64 y))

Compiler

Compiled 58 to 14 computations (75.9% saved)

series13.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(.f64 (.f64 y (.f64 (.f64 x x) (neg.f64 y))) x)
1.0ms	y	@	0	(.f64 (.f64 y (.f64 (.f64 x x) (neg.f64 y))) x)
1.0ms	y	@	0	(/.f64 (.f64 (.f64 y (.f64 (.f64 x x) (neg.f64 y))) x) (+.f64 1 (*.f64 x y)))
1.0ms	x	@	0	(.f64 (.f64 y (.f64 (.f64 x x) (neg.f64 y))) x)
1.0ms	y	@	inf	(/.f64 (.f64 (.f64 y (.f64 (.f64 x x) (neg.f64 y))) x) (+.f64 1 (*.f64 x y)))

rewrite67.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

665×	`log-prod_binary64`
366×	`pow-unpow_binary64`
343×	`fma-def_binary64`
288×	`pow2_binary64`
204×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	259	34
2	3875	34

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

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

Outputs

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

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

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

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-neg_binary64`
506×	`cancel-sign-sub-inv_binary64`
495×	`difference-of-squares_binary64`
434×	`unswap-sqr_binary64`
282×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	1074
1	125	1052
2	386	1034
3	1801	1034
4	5704	1018

Stop Event

1×	node limit

Counts

179 → 125

Calls

Call 1

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

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x y) y)
✓	0.5b	(.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) y) x)) x)
✓	4.2b	(.f64 (.f64 (*.f64 x y) y) x)
✓	5.8b	(/.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)

series6.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite91.0ms (1.5%)

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 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(#(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 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#<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))))))

simplify108.0ms (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))

eval391.0ms (6.6%)

Compiler: Compiled 9309 to 5566 computations (40.2% saved)

prune137.0ms (2.3%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	576	5	581
Fresh	2	0	2
Picked	1	0	1
Done	4	5	9
Total	583	10	593

Error

Counts

593 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	39.7b	(/.f64 x (/.f64 (/.f64 -1 y) x))
✓	0.5b	(/.f64 (-.f64 1 (*.f64 x y)) (/.f64 1 x))
✓	39.7b	(.f64 x (.f64 x (neg.f64 y)))
✓	43.7b	(.f64 (.f64 x x) (neg.f64 y))
	45.9b	(/.f64 (.f64 (.f64 y (neg.f64 (.f64 x (.f64 x y)))) x) (+.f64 1 (*.f64 x y)))
✓	0.1b	(-.f64 x (.f64 x (.f64 x y)))
	23.3b	(/.f64 1 (/.f64 1 x))
	23.0b	x
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
	39.7b	(/.f64 1 (/.f64 (/.f64 (/.f64 -1 y) x) x))

Compiler

Compiled 93 to 61 computations (34.4% saved)

regimes74.0ms (1.3%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	(.f64 x (-.f64 1 (.f64 x y)))
17.0ms	y
16.0ms	(.f64 x (-.f64 1 (.f64 x y)))
15.0ms	x

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 355 to 184 computations (48.2% saved)

regimes53.0ms (0.9%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	x
16.0ms	y

Results

Error	Segments	Branch
15.1b	7	`x`
13.2b	3	`y`

Compiler

Compiled 35 to 19 computations (45.7% saved)

bsearch184.0ms (3.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
79.0ms	2.506880980461914e+102	1.2069125662166277e+110
105.0ms	-1.558690621550841e+30	-1.590274066471307e+26

Compiler

Compiled 235 to 163 computations (30.6% saved)

regimes54.0ms (0.9%)

Counts

5 → 9

Calls

Call 1

Inputs
x
x
x
(/.f64 1 (/.f64 1 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:

39.0ms	x
13.0ms	y

Results

Error	Segments	Branch
14.2b	9	`x`
15.7b	3	`y`

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch203.0ms (3.4%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
36.0ms	2.056887780943114e+148	1.3375384237099873e+212
19.0ms	1.66288070032773e+130	1.0676998775795015e+135
60.0ms	2.0094149008967273e+46	1.4841942444950264e+47
18.0ms	4.950654806286926e-9	2.7422118786456783e-6
16.0ms	4.404437060300773e-56	9.85975286018156e-54
17.0ms	3.6381334095465803e-88	1.937595103963867e-86
16.0ms	-2.1257524256728794e-20	-7.984016805917036e-24
20.0ms	-7.729116427669819e+145	-1.2590578174226495e+141

Compiler

Compiled 456 to 316 computations (30.7% saved)

regimes9.0ms (0.2%)

Accuracy

Total -0.3b remaining (-1.4%)

Threshold costs -0.3b (-1.4%)

Counts

4 → 1

Calls

Call 1

Inputs
x
x
x
(/.f64 1 (/.f64 1 x))

Outputs
x

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
23.0b	1	`x`
23.0b	1	`y`

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify10.0ms (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 -1499999999999999889089448902656) (.f64 x (.f64 x (neg.f64 y))) (if (<=.f64 y 120000000000000006165803845326852703732165351296751002642315320894463753258191920134015444923344800642355953664) x (.f64 x (.f64 x (neg.f64 y)))))
(if (<=.f64 x -1299999999999999971299986606619555215876263068728222902698301693993999426226354504571376256794420287368699628730368402712392139121952242532352) x (if (<=.f64 x -7233560668958937088/340282366920938463463374607431768211456) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 x 3337621575832928768/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) x (if (<=.f64 x 4863729182495973/110427941548649020598956093796432407239217743554726184882600387580788736) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 x 5984974419319525/1208925819614629174706176) x (if (<=.f64 x 20499999999999999986131350259736876692371668992) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 x 1050000000000000048686014943143169626043918640694157589101310958132413677812353856294763302501740353781196423064296630255048361016033280) x (if (<=.f64 x 20999999999999999892825751366275165687698317249138536736081263792459064345632643659636974437008550542481857618056144623311682081501011268411332755456) (.f64 (.f64 x x) (neg.f64 y)) x))))))))
x

Outputs
(-.f64 x (.f64 x (.f64 x y)))
(if (<=.f64 y -1499999999999999889089448902656) (.f64 x (.f64 x (neg.f64 y))) (if (<=.f64 y 120000000000000006165803845326852703732165351296751002642315320894463753258191920134015444923344800642355953664) x (.f64 x (.f64 x (neg.f64 y)))))
(if (<=.f64 x -1299999999999999971299986606619555215876263068728222902698301693993999426226354504571376256794420287368699628730368402712392139121952242532352) x (if (<=.f64 x -7233560668958937088/340282366920938463463374607431768211456) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 x 3337621575832928768/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) x (if (<=.f64 x 4863729182495973/110427941548649020598956093796432407239217743554726184882600387580788736) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 x 5984974419319525/1208925819614629174706176) x (if (<=.f64 x 20499999999999999986131350259736876692371668992) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 x 1050000000000000048686014943143169626043918640694157589101310958132413677812353856294763302501740353781196423064296630255048361016033280) x (if (<=.f64 x 20999999999999999892825751366275165687698317249138536736081263792459064345632643659636974437008550542481857618056144623311682081501011268411332755456) (.f64 (.f64 x x) (neg.f64 y)) x))))))))
(if (<=.f64 x -1299999999999999971299986606619555215876263068728222902698301693993999426226354504571376256794420287368699628730368402712392139121952242532352) x (if (<=.f64 x -1766006022695053/83076749736557242056487941267521536) (neg.f64 (.f64 (.f64 x x) y)) (if (<=.f64 x 6518792140298689/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) x (if (<=.f64 x 4863729182495973/110427941548649020598956093796432407239217743554726184882600387580788736) (neg.f64 (.f64 (.f64 x x) y)) (if (<=.f64 x 5984974419319525/1208925819614629174706176) x (if (<=.f64 x 20499999999999999986131350259736876692371668992) (neg.f64 (.f64 (.f64 x x) y)) (if (<=.f64 x 1050000000000000048686014943143169626043918640694157589101310958132413677812353856294763302501740353781196423064296630255048361016033280) x (if (<=.f64 x 20999999999999999892825751366275165687698317249138536736081263792459064345632643659636974437008550542481857618056144623311682081501011268411332755456) (neg.f64 (.f64 (.f64 x x) y)) x))))))))
(if (<=.f64 x -1299999999999999971299986606619555215876263068728222902698301693993999426226354504571376256794420287368699628730368402712392139121952242532352) x (if (<=.f64 x -1766006022695053/83076749736557242056487941267521536) (neg.f64 (.f64 y (.f64 x x))) (if (<=.f64 x 6518792140298689/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) x (if (<=.f64 x 4863729182495973/110427941548649020598956093796432407239217743554726184882600387580788736) (neg.f64 (.f64 y (.f64 x x))) (if (<=.f64 x 5984974419319525/1208925819614629174706176) x (if (<=.f64 x 20499999999999999986131350259736876692371668992) (neg.f64 (.f64 y (.f64 x x))) (if (<=.f64 x 1050000000000000048686014943143169626043918640694157589101310958132413677812353856294763302501740353781196423064296630255048361016033280) x (if (<=.f64 x 20999999999999999892825751366275165687698317249138536736081263792459064345632643659636974437008550542481857618056144623311682081501011268411332755456) (neg.f64 (.f64 y (.f64 x x))) x))))))))
x

Compiler

Compiled 98 to 47 computations (52% saved)

soundness0.0ms (0%)

end47.0ms (0.8%)

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