Details

analyze79.0ms (1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	6
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	7
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	8
71.2%	57.8%	23.4%	0.1%	18.7%	0%	0%	9
77%	60.1%	18%	0.1%	21.9%	0%	0%	10
84.5%	66%	12.1%	0.1%	21.9%	0%	0%	11
88%	67.3%	9.2%	0.1%	23.4%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.1s (13.3%)

Results

1.0s	8256×	body	256	valid
25.0ms	171×	body	256	infinite

Bogosity

preprocess87.0ms (1.1%)

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 (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (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	x	@	inf	(.f64 x (-.f64 1 (.f64 x y)))
1.0ms	y	@	0	(.f64 x (-.f64 1 (.f64 x y)))
1.0ms	y	@	inf	(.f64 x (-.f64 1 (.f64 x y)))

rewrite48.0ms (0.6%)

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 (1.1%)

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)

eval6.0ms (0.1%)

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

prune11.0ms (0.1%)

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
	44.6b	(cbrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 x y)) 3) (pow.f64 x 3)))
▶	40.5b	(.f64 x (.f64 x (neg.f64 y)))
▶	9.1b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
▶	13.6b	(/.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))
▶	44.8b	(.f64 -1 (.f64 y (pow.f64 x 2)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
	21.6b	x
	33.7b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) 2)

Compiler

Compiled 198 to 134 computations (32.3% 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))

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

Outputs

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

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

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

104 → 61

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite80.0ms (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))))))))

simplify102.0ms (1.3%)

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))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.6b	(*.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))

rewrite72.0ms (0.9%)

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))))))))

simplify13.0ms (0.2%)

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

localize35.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 x y) 2)
✓	0.8b	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x)
✓	7.7b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 50 to 26 computations (48% saved)

series20.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite116.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

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

Outputs

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

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

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

simplify144.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

189 → 127

Calls

Call 1

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

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

localize75.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))
✓	0.2b	(pow.f64 (*.f64 x y) 3)
✓	1.7b	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x)
✓	11.2b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))

Compiler

Compiled 76 to 37 computations (51.3% saved)

series20.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	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	y	@	-inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))

rewrite95.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 199

Calls

Call 1

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

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

simplify121.0ms (1.5%)

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)
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(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))

eval200.0ms (2.5%)

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

prune150.0ms (1.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	422	10	432
Fresh	3	0	3
Picked	1	0	1
Done	3	2	5
Total	429	12	441

Error

Counts

441 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	51.9b	(.f64 -1 (pow.f64 (.f64 x (sqrt.f64 y)) 2))
▶	55.2b	(/.f64 (.f64 y (.f64 y (neg.f64 (pow.f64 x 3)))) (+.f64 1 (*.f64 x y)))
✓	40.5b	(.f64 x (.f64 x (neg.f64 y)))
▶	44.8b	(.f64 (.f64 x x) (neg.f64 y))
▶	5.4b	(.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) 1) (/.f64 x (fma.f64 x y 1)))
	14.7b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 y (.f64 x (*.f64 x y)))))
▶	0.1b	(-.f64 x (.f64 x (.f64 x y)))
	9.1b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) x) (+.f64 1 (*.f64 x y)))
	13.1b	(.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))))
	21.6b	x
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
	33.7b	(pow.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 x y)) x)) 2)

Compiler

Compiled 292 to 195 computations (33.2% saved)

localize18.0ms (0.2%)

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)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite78.0ms (1%)

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))))))))

simplify102.0ms (1.3%)

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
✓	9.6b	(.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	y	@	inf	(.f64 (.f64 x x) (neg.f64 y))
0.0ms	y	@	-inf	(.f64 (.f64 x x) (neg.f64 y))
0.0ms	y	@	0	(.f64 (.f64 x x) (neg.f64 y))

rewrite42.0ms (0.5%)

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))))))))

simplify110.0ms (1.4%)

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))

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	6.0b	(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
✓	6.4b	(*.f64 y (neg.f64 (pow.f64 x 3)))
✓	7.7b	(/.f64 (.f64 y (.f64 y (neg.f64 (pow.f64 x 3)))) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 49 to 29 computations (40.8% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Expression
1.0ms	y	@	(*.f64 y (neg.f64 (pow.f64 x 3)))
1.0ms	y	@	(/.f64 (.f64 y (.f64 y (neg.f64 (pow.f64 x 3)))) (+.f64 1 (*.f64 x y)))
1.0ms	x	@	(.f64 y (.f64 y (neg.f64 (pow.f64 x 3))))
1.0ms	x	@	(*.f64 y (neg.f64 (pow.f64 x 3)))
1.0ms	x	@	(/.f64 (.f64 y (.f64 y (neg.f64 (pow.f64 x 3)))) (+.f64 1 (*.f64 x y)))

rewrite136.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`log-prod_binary64`
345×	`prod-diff_binary64`
306×	`pow-unpow_binary64`
288×	`pow2_binary64`
273×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	262	34
2	3547	34

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs

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

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

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

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-neg_binary64`
497×	`difference-of-squares_binary64`
488×	`cancel-sign-sub-inv_binary64`
430×	`unswap-sqr_binary64`
301×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	1002
1	125	980
2	390	962
3	1808	962
4	5644	946

Stop Event

1×	node limit

Counts

177 → 123

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.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 (0.1%)

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	y	@	inf	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
1.0ms	x	@	inf	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)

rewrite68.0ms (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 (2.1%)

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))

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (fma.f64 x y 1))
	0.3b	(pow.f64 (*.f64 x y) 2)
✓	5.0b	(.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) 1) (/.f64 x (fma.f64 x y 1)))

Compiler

Compiled 56 to 32 computations (42.9% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite180.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`log-prod_binary64`
424×	`pow-prod-down_binary64`
313×	`prod-diff_binary64`
292×	`pow2_binary64`
221×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	271	28
2	3332	28

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

690×	`fma-def_binary64`
483×	`difference-of-squares_binary64`
460×	`associate-/r*_binary64`
414×	`unswap-sqr_binary64`
410×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	758
1	110	732
2	329	730
3	1493	718
4	6077	718

Stop Event

1×	node limit

Counts

190 → 158

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

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

eval359.0ms (4.5%)

Compiler: Compiled 7593 to 4297 computations (43.4% saved)

prune183.0ms (2.3%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	418	4	422
Fresh	3	2	5
Picked	1	0	1
Done	0	6	6
Total	422	12	434

Error

Counts

434 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.1b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) x) (+.f64 1 (*.f64 x y)))
	21.6b	x
✓	51.9b	(.f64 -1 (pow.f64 (.f64 x (sqrt.f64 y)) 2))
✓	55.2b	(/.f64 (.f64 y (.f64 y (neg.f64 (pow.f64 x 3)))) (+.f64 1 (*.f64 x y)))
▶	5.4b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) 1) (/.f64 x (fma.f64 x y 1)))
✓	40.5b	(.f64 x (.f64 x (neg.f64 y)))
▶	30.6b	(/.f64 1 (/.f64 (+.f64 x (.f64 x (.f64 x y))) (-.f64 (.f64 x x) (pow.f64 (.f64 x (*.f64 x y)) 2))))
▶	14.7b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 y (.f64 x (*.f64 x y)))))
✓	0.1b	(-.f64 x (.f64 x (.f64 x y)))
▶	17.6b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 y y) (.f64 x x))) 1) (/.f64 x (fma.f64 x y 1)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
✓	44.8b	(.f64 (.f64 x x) (neg.f64 y))

Compiler

Compiled 269 to 166 computations (38.3% saved)

localize65.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 x (fma.f64 x y 1))
✓	0.2b	(.f64 (.f64 x y) x)
✓	1.8b	(.f64 (.f64 (*.f64 x y) x) y)
✓	5.0b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) 1) (/.f64 x (fma.f64 x y 1)))

Compiler

Compiled 68 to 25 computations (63.2% saved)

series14.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) 1) (/.f64 x (fma.f64 x y 1)))
1.0ms	x	@	0	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) 1) (/.f64 x (fma.f64 x y 1)))
1.0ms	y	@	inf	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) 1) (/.f64 x (fma.f64 x y 1)))
1.0ms	y	@	0	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) 1) (/.f64 x (fma.f64 x y 1)))
1.0ms	x	@	-inf	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) 1) (/.f64 x (fma.f64 x y 1)))

rewrite116.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`log-prod_binary64`
558×	`prod-diff_binary64`
305×	`pow2_binary64`
273×	`fma-def_binary64`
216×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	269	34
2	3448	34

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

Outputs

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

simplify162.0ms (2%)

Algorithm

1×	egg-herbie

Rules

969×	`fma-neg_binary64`
495×	`distribute-rgt-neg-in_binary64`
450×	`cancel-sign-sub-inv_binary64`
409×	`distribute-lft-neg-in_binary64`
405×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	644
1	27	626
2	65	626
3	197	626
4	888	626
5	2179	626
6	3633	626
7	5546	626

Stop Event

1×	node limit

Counts

228 → 165

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

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

localize50.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 x y) x)
✓	0.8b	(.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) x)
	1.8b	(.f64 (.f64 (*.f64 x y) x) y)
✓	7.7b	(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) x) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 62 to 19 computations (69.4% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite90.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`log-prod_binary64`
505×	`fma-def_binary64`
312×	`pow2_binary64`
272×	`pow-unpow_binary64`
218×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	245	23
2	3500	23

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 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))))))))

simplify232.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	538
1	44	502
2	122	502
3	486	502
4	2394	502
5	4416	502
6	6501	502
7	7873	502

Stop Event

1×	node limit

Counts

137 → 98

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)

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

localize80.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 x (fma.f64 x y 1))
✓	5.0b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 y y) (.f64 x x))) 1) (/.f64 x (fma.f64 x y 1)))
✓	17.7b	(.f64 (.f64 y y) (*.f64 x x))

Compiler

Compiled 66 to 25 computations (62.1% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite163.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`prod-diff_binary64`
656×	`log-prod_binary64`
276×	`fma-def_binary64`
207×	`expm1-udef_binary64`
207×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	273	27
2	3569	27

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

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

Outputs

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

simplify91.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

970×	`fma-neg_binary64`
495×	`distribute-rgt-neg-in_binary64`
450×	`cancel-sign-sub-inv_binary64`
409×	`distribute-lft-neg-in_binary64`
401×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	476
1	27	458
2	65	458
3	197	458
4	888	458
5	2170	458
6	3623	458
7	5532	458

Stop Event

1×	node limit

Counts

181 → 140

Calls

Call 1

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

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (*.f64 x y) 3)
	1.7b	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x)
✓	1.8b	(.f64 y (.f64 x (*.f64 x y)))
✓	11.2b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 y (.f64 x (*.f64 x y)))))

Compiler

Compiled 70 to 28 computations (60% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 y (.f64 x (*.f64 x y)))))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 y (.f64 x (*.f64 x y)))))
0.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 y (.f64 x (*.f64 x y)))))
0.0ms	y	@	inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 y (.f64 x (*.f64 x y)))))
0.0ms	y	@	0	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 y (.f64 x (*.f64 x y)))))

rewrite87.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`log-prod_binary64`
418×	`fma-def_binary64`
351×	`pow2_binary64`
244×	`pow1/3_binary64`
236×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	293	32
2	3942	32

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

579×	`fma-neg_binary64`
495×	`cancel-sign-sub-inv_binary64`
388×	`unswap-sqr_binary64`
323×	`associate-/r*_binary64`
276×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	762
1	111	736
2	352	724
3	1712	708
4	5804	708

Stop Event

1×	node limit

Counts

125 → 94

Calls

Call 1

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

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

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (.f64 x (.f64 x y)) 2)
✓	0.3b	(/.f64 1 (/.f64 (+.f64 x (.f64 x (.f64 x y))) (-.f64 (.f64 x x) (pow.f64 (.f64 x (*.f64 x y)) 2))))
✓	2.4b	(-.f64 (.f64 x x) (pow.f64 (.f64 x (*.f64 x y)) 2))
✓	29.7b	(/.f64 (+.f64 x (.f64 x (.f64 x y))) (-.f64 (.f64 x x) (pow.f64 (.f64 x (*.f64 x y)) 2)))

Compiler

Compiled 82 to 23 computations (72% saved)

series13.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite161.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

719×	`log-prod_binary64`
663×	`fma-def_binary64`
268×	`egg-rr`
251×	`fma-neg_binary64`
243×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	85
1	293	49
2	4155	49

Stop Event

1×	node limit

Counts

4 → 449

Calls

Call 1

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

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

simplify187.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

452×	`fma-def_binary64`
436×	`associate-*l/_binary64`
381×	`unswap-sqr_binary64`
347×	`distribute-neg-frac_binary64`
342×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	1480
1	135	1420
2	413	1420
3	1700	1410
4	4571	1374

Stop Event

1×	node limit

Counts

545 → 477

Calls

Call 1

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

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

eval591.0ms (7.4%)

Compiler: Compiled 30031 to 13944 computations (53.6% saved)

prune409.0ms (5.2%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	1193	6	1199
Fresh	0	1	1
Picked	1	0	1
Done	4	6	10
Total	1198	13	1211

Error

Counts

1211 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	9.1b	(/.f64 (.f64 (-.f64 1 (/.f64 1 (/.f64 1 (pow.f64 (.f64 x y) 2)))) x) (+.f64 1 (*.f64 x y)))
	44.9b	(/.f64 1 (/.f64 (/.f64 -1 y) (*.f64 x x)))
✓	55.2b	(/.f64 (.f64 y (.f64 y (neg.f64 (pow.f64 x 3)))) (+.f64 1 (*.f64 x y)))
✓	5.4b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) 1) (/.f64 x (fma.f64 x y 1)))
✓	40.5b	(.f64 x (.f64 x (neg.f64 y)))
✓	44.8b	(.f64 (.f64 x x) (neg.f64 y))
	0.2b	(/.f64 1 (+.f64 0 (/.f64 1 (-.f64 x (.f64 x (.f64 x y))))))
✓	0.1b	(-.f64 x (.f64 x (.f64 x y)))
	21.6b	x
	30.8b	(/.f64 1 (/.f64 (+.f64 x (.f64 x (.f64 x y))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x y)) (.f64 x y)) x))))
	54.8b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 y y) (.f64 x x))) 1) (/.f64 1 y))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
	21.8b	(/.f64 1 (/.f64 1 x))

Compiler

Compiled 171 to 111 computations (35.1% saved)

regimes240.0ms (3%)

Counts

29 → 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 x (.f64 x y)))
(.f64 x (-.f64 1 (.f64 x y)))
(+.f64 x (.f64 (.f64 x (neg.f64 y)) x))
(/.f64 1 (/.f64 (/.f64 -1 y) (*.f64 x x)))
(/.f64 1 (+.f64 0 (/.f64 1 (-.f64 x (.f64 x (.f64 x y))))))
(.f64 (/.f64 (-.f64 1 (.f64 (.f64 y y) (.f64 x x))) 1) (/.f64 1 y))
(/.f64 (.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) x) (+.f64 1 (*.f64 x y)))
(/.f64 1 (/.f64 (+.f64 x (.f64 x (.f64 x y))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x (.f64 x y)) (.f64 x y)) x))))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(/.f64 (.f64 y (.f64 y (neg.f64 (pow.f64 x 3)))) (+.f64 1 (*.f64 x y)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
(.f64 (/.f64 (-.f64 1 (.f64 (.f64 (.f64 x y) x) y)) 1) (/.f64 x (fma.f64 x y 1)))
(.f64 (/.f64 (-.f64 1 (.f64 (.f64 y y) (.f64 x x))) 1) (/.f64 x (fma.f64 x y 1)))
(/.f64 (.f64 (-.f64 1 (/.f64 1 (/.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 1 (/.f64 (+.f64 x (.f64 x (.f64 x y))) (-.f64 (.f64 x x) (pow.f64 (.f64 x (*.f64 x y)) 2))))
(/.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)
(.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) 1) (/.f64 x (fma.f64 x y 1)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 x y)) 3) (pow.f64 x 3)))
(.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))))

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

Calls

4 calls:

124.0ms	y
38.0ms	x
31.0ms	(.f64 x (-.f64 1 (.f64 x y)))
28.0ms	(.f64 x (-.f64 1 (.f64 x y)))

Results

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

Compiler

Compiled 376 to 194 computations (48.4% saved)

regimes88.0ms (1.1%)

Counts

6 → 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)))

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

Calls

2 calls:

47.0ms	x
38.0ms	y

Results

Error	Segments	Branch
17.6b	4	`x`
13.4b	3	`y`

Compiler

Compiled 28 to 15 computations (46.4% saved)

bsearch204.0ms (2.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
118.0ms	3.005747883089404e+96	8.014004283463936e+98
86.0ms	-5.1511975417316397e+92	-9.397539588875628e+91

Compiler

Compiled 196 to 136 computations (30.6% saved)

regimes37.0ms (0.5%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	x
15.0ms	y

Results

Error	Segments	Branch
18.4b	4	`x`
15.8b	3	`y`

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch162.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
63.0ms	3.005747883089404e+96	8.014004283463936e+98
99.0ms	-5.1511975417316397e+92	-9.397539588875628e+91

Compiler

Compiled 196 to 136 computations (30.6% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.6%)

Threshold costs -0.1b (-0.6%)

Counts

4 → 1

Calls

Call 1

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

Outputs
x

Calls

2 calls:

5.0ms	x
4.0ms	y

Results

Error	Segments	Branch
21.6b	1	`x`
21.6b	1	`y`

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify6.0ms (0.1%)

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	20	73
1	37	73
2	56	73
3	70	73
4	76	73
5	77	73

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 x (.f64 x y)))
(if (<=.f64 y -510000000000000027912025918921594668556598846159884441677303865843447776546616566975731597312) (.f64 x (.f64 x (neg.f64 y))) (if (<=.f64 y 799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472) x (.f64 x (.f64 x (neg.f64 y)))))
(if (<=.f64 y -510000000000000027912025918921594668556598846159884441677303865843447776546616566975731597312) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 y 799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472) x (.f64 (.f64 x x) (neg.f64 y))))
x

Outputs
(-.f64 x (.f64 x (.f64 x y)))
(if (<=.f64 y -510000000000000027912025918921594668556598846159884441677303865843447776546616566975731597312) (.f64 x (.f64 x (neg.f64 y))) (if (<=.f64 y 799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472) x (.f64 x (.f64 x (neg.f64 y)))))
(if (<=.f64 y -510000000000000027912025918921594668556598846159884441677303865843447776546616566975731597312) (.f64 (.f64 x x) (neg.f64 y)) (if (<=.f64 y 799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472) x (.f64 (.f64 x x) (neg.f64 y))))
(if (<=.f64 y -510000000000000027912025918921594668556598846159884441677303865843447776546616566975731597312) (.f64 (neg.f64 y) (.f64 x x)) (if (<=.f64 y 799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472) x (.f64 (neg.f64 y) (.f64 x x))))
(if (<=.f64 y -510000000000000027912025918921594668556598846159884441677303865843447776546616566975731597312) (.f64 y (.f64 x (neg.f64 x))) (if (<=.f64 y 799999999999999998152296196114966405572900383939230711364454911728780692385037411823295459829481472) x (.f64 y (.f64 x (neg.f64 x)))))
x

Compiler

Compiled 58 to 29 computations (50% saved)

soundness0.0ms (0%)

end36.0ms (0.5%)

Compiler: Compiled 52 to 23 computations (55.8% 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