Details

analyze146.0ms (7.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	81.2%	0.1%	6
46.8%	53.1%	0.1%	7
54.6%	45.3%	0.1%	8
71%	28.9%	0.1%	9
76.1%	23.8%	0.1%	10
84.9%	15%	0.1%	11
87.7%	12.2%	0.1%	12
92.2%	7.7%	0.1%	13
93.7%	6.2%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample754.0ms (39.7%)

Results

738.0ms	8255×	body	128	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess39.0ms (2%)

Algorithm

2×	egg-herbie

Rules

868×	`fma-neg_binary64`
664×	`div-sub_binary64`
422×	`times-frac_binary64`
246×	`distribute-rgt-in_binary64`
196×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	24	20
2	37	20
3	64	20
4	131	20
5	264	20
6	537	20
7	1557	20
8	3448	20
9	4724	20
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

Outputs
(/.f64 (-.f64 x y) (-.f64 1 y))
(/.f64 (-.f64 y x) (-.f64 1 x))
(/.f64 (-.f64 x y) (+.f64 x -1))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify37.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

538×	`fma-neg_binary64`
369×	`fma-def_binary64`
316×	`div-sub_binary64`
272×	`times-frac_binary64`
116×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	22	10
3	37	10
4	70	10
5	120	10
6	227	10
7	446	10
8	1068	10
9	2198	10
10	2833	10
11	3116	10
12	3126	10
13	3126	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(/.f64 (-.f64 x y) (-.f64 1 y))
(/.f64 (-.f64 y x) (+.f64 y -1))
(/.f64 (-.f64 y x) (-.f64 y 1))

prune2.0ms (0.1%)

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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 34 to 22 computations (35.3% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

series5.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite99.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`prod-diff_binary64`
238×	`fma-def_binary64`
221×	`egg-rr`
150×	`expm1-udef_binary64`
149×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	160	10
2	2419	10

Stop Event

1×	node limit

Counts

1 → 221

Calls

Call 1

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

Outputs
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Outputs

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

simplify37.0ms (2%)

Algorithm

1×	egg-herbie

Rules

593×	`times-frac_binary64`
360×	`fma-def_binary64`
318×	`sub-neg_binary64`
291×	`unsub-neg_binary64`
285×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	472
1	197	418
2	718	352
3	3262	348

Stop Event

1×	node limit

Counts

245 → 242

Calls

Call 1

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

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

prune241.0ms (12.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	240	2	242
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	241	2	243

Error

Counts

243 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
	14.4b	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 y 1))

Compiler

Compiled 10874 to 7363 computations (32.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (-.f64 1 y))
✓	0.0b	(/.f64 x (-.f64 1 y))

series5.0ms (0.3%)

Counts

2 → 24

Calls

9 calls:

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

rewrite43.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`log1p-expm1-u_binary64`
802×	`expm1-log1p-u_binary64`
77×	`add-sqr-sqrt_binary64`
75×	`*-un-lft-identity_binary64`
75×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	151	14
2	2090	14

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

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

Outputs

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

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

simplify35.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

276×	`fma-neg_binary64`
219×	`fma-def_binary64`
212×	`associate-+l-_binary64`
163×	`associate-+l+_binary64`
161×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	355
1	142	323
2	439	302
3	1415	286
4	4639	286

Stop Event

1×	node limit

Counts

94 → 99

Calls

Call 1

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

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

prune56.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	99	2	101

Error

Counts

101 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
▶	14.4b	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 y 1))

Compiler

Compiled 1645 to 1102 computations (33% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 y 1))
✓	13.8b	(/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y)))

series10.0ms (0.5%)

Counts

2 → 48

Calls

12 calls:

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

rewrite65.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`fma-def_binary64`
264×	`fma-neg_binary64`
210×	`log1p-udef_binary64`
209×	`expm1-udef_binary64`
128×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	239	23
2	3808	23

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs

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

simplify43.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

418×	`fma-def_binary64`
391×	`associate-+l+_binary64`
388×	`sub-neg_binary64`
301×	`associate-+r+_binary64`
252×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1072
1	263	1013
2	806	953
3	3567	922

Stop Event

1×	node limit

Counts

189 → 185

Calls

Call 1

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

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

prune107.0ms (5.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	185	2	187

Error

Counts

187 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
✓	14.4b	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 y 1))

Compiler

Compiled 3986 to 2057 computations (48.4% saved)

regimes113.0ms (5.9%)

Accuracy

Total 0.0b remaining (52.7%)

Threshold costs 0.0b (52.7%)

Counts

56 → 1

Compiler

Compiled 647 to 386 computations (40.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	14	16
2	22	16
3	26	16
4	28	16

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))

end42.0ms (2.2%)

Stop Event

1×

done

Compiler

Compiled 54 to 37 computations (31.5% saved)

Details

analyze146.0ms (7.7%)

sample754.0ms (39.7%)

preprocess39.0ms (2%)

simplify37.0ms (1.9%)

prune2.0ms (0.1%)

localize8.0ms (0.4%)

series5.0ms (0.2%)

rewrite99.0ms (5.2%)

simplify37.0ms (2%)

prune241.0ms (12.7%)

localize5.0ms (0.3%)

series5.0ms (0.3%)

rewrite43.0ms (2.3%)

simplify35.0ms (1.8%)

prune56.0ms (3%)

localize7.0ms (0.4%)

series10.0ms (0.5%)

rewrite65.0ms (3.4%)

simplify43.0ms (2.2%)

prune107.0ms (5.6%)

regimes113.0ms (5.9%)

simplify2.0ms (0.1%)

end42.0ms (2.2%)

Profiling