Details

analyze113.0ms (6.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
43.7%	43.7%	12.6%	7
46.8%	34.3%	18.8%	8
57.8%	23.4%	18.8%	9
60.1%	18%	22%	10
66%	12.1%	22%	11
67.3%	9.2%	23.5%	12
70.3%	6.1%	23.5%	13
71.1%	4.6%	24.3%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample797.0ms (43.1%)

Results

776.0ms	8256×	body	128	valid
8.0ms	74×	body	128	invalid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess33.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

496×	`fma-def_binary64`
136×	`fma-neg_binary64`
71×	`distribute-rgt-in_binary64`
53×	`unsub-neg_binary64`
46×	`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	253	20
5	367	20
6	499	20
7	685	20
8	1198	20
9	1223	20
10	1273	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)))
(-.f64 x (.f64 y (.f64 x x)))
(.f64 y (-.f64 1 (.f64 y x)))
(.f64 y (-.f64 1 (.f64 x y)))
(-.f64 y (.f64 x (.f64 y y)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify15.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

265×	`fma-def_binary64`
84×	`fma-neg_binary64`
35×	`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	161	10
5	238	10
6	325	10
7	429	10
8	669	10
9	714	10
10	746	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))
(-.f64 x (.f64 y (.f64 x x)))

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	8.4b	(-.f64 x (.f64 y (.f64 x x)))
▶	0.1b	(.f64 x (-.f64 1 (.f64 x y)))

Compiler

Compiled 52 to 31 computations (40.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite40.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`pow1_binary64`
682×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
74×	`add-sqr-sqrt_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 → 20

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

simplify35.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1023×	`fma-neg_binary64`
478×	`cancel-sign-sub-inv_binary64`
266×	`associate-l_binary64`
251×	`unswap-sqr_binary64`
205×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	218
1	23	218
2	50	218
3	124	218
4	349	218
5	1199	218
6	2253	218
7	3990	218

Stop Event

1×	node limit

Counts

44 → 25

Calls

Call 1

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

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

prune17.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	5	27

Error

0.0b

Counts

27 → 5

Alt Table

Status	Error	Program
	9.6b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
	13.1b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (+.f64 (.f64 x y) (pow.f64 (.f64 x y) 2))))
▶	8.4b	(-.f64 x (.f64 y (.f64 x x)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
	34.8b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) 2)

Compiler

Compiled 391 to 228 computations (41.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (.f64 y (.f64 x x)))
✓	10.9b	(.f64 y (.f64 x x))

series5.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

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

rewrite59.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`pow1_binary64`
693×	`log1p-expm1-u_binary64`
693×	`expm1-log1p-u_binary64`
73×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	135	17
2	1960	17

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

Outputs

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

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

simplify40.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1024×	`fma-neg_binary64`
480×	`cancel-sign-sub-inv_binary64`
261×	`associate-l_binary64`
251×	`unswap-sqr_binary64`
205×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	386
1	23	386
2	50	386
3	124	386
4	349	386
5	1191	386
6	2249	386
7	3988	386

Stop Event

1×	node limit

Counts

102 → 61

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

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

prune33.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	61	5	66

Error

0.0b

Counts

66 → 5

Alt Table

Status	Error	Program
▶	9.6b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
	32.8b	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
✓	8.4b	(-.f64 x (.f64 y (.f64 x x)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
	34.8b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) 2)

Compiler

Compiled 934 to 296 computations (68.3% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 x y) 2)
✓	1.0b	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x)
✓	7.9b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))

series12.0ms (0.6%)

Counts

3 → 72

Calls

18 calls:

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

rewrite56.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`prod-diff_binary64`
122×	`add-sqr-sqrt_binary64`
119×	`pow1_binary64`
118×	`*-un-lft-identity_binary64`
114×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	244	30
2	3362	30

Stop Event

1×	node limit

Counts

3 → 91

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

simplify47.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

603×	`associate-l_binary64`
494×	`fma-def_binary64`
467×	`fma-neg_binary64`
411×	`associate-r_binary64`
387×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	742
1	50	742
2	131	742
3	529	742
4	2624	742
5	4806	742

Stop Event

1×	node limit

Counts

163 → 102

Calls

Call 1

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

prune90.0ms (4.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	0	2	2
Picked	1	0	1
Done	1	1	2
Total	100	7	107

Error

0.0b

Counts

107 → 7

Alt Table

Status	Error	Program
	9.6b	(.f64 (.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 2))) (/.f64 1 (fma.f64 x y 1)))
	32.8b	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
	34.8b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) 2)
	16.3b	(.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))))
	6.4b	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) (*.f64 x (/.f64 1 (fma.f64 x y 1))))
✓	8.4b	(-.f64 x (.f64 y (.f64 x x)))
▶	0.2b	(pow.f64 (/.f64 1 (.f64 (-.f64 1 (.f64 x y)) x)) -1)

Compiler

Compiled 1983 to 1178 computations (40.6% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (.f64 (-.f64 1 (.f64 x y)) x))
✓	0.1b	(.f64 (-.f64 1 (.f64 x y)) x)
✓	0.2b	(pow.f64 (/.f64 1 (.f64 (-.f64 1 (.f64 x y)) x)) -1)

series18.0ms (1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite52.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
106×	`add-sqr-sqrt_binary64`
102×	`pow1_binary64`
101×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	214	33
2	2674	33

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs

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

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

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

simplify45.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

809×	`fma-neg_binary64`
764×	`times-frac_binary64`
673×	`fma-def_binary64`
366×	`unswap-sqr_binary64`
179×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	1078
1	132	1054
2	386	1054
3	1493	1044
4	3785	1044

Stop Event

1×	node limit

Counts

177 → 97

Calls

Call 1

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

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

prune90.0ms (4.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	96	8	104

Error

Counts

104 → 8

Alt Table

Status	Error	Program
	9.6b	(.f64 (.f64 x (-.f64 1 (pow.f64 (*.f64 x y) 2))) (/.f64 1 (fma.f64 x y 1)))
	0.1b	(/.f64 x (/.f64 1 (-.f64 1 (*.f64 x y))))
	32.8b	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
	34.8b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) 2)
	16.3b	(.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))))
	6.4b	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) (*.f64 x (/.f64 1 (fma.f64 x y 1))))
✓	8.4b	(-.f64 x (.f64 y (.f64 x x)))
✓	0.2b	(pow.f64 (/.f64 1 (.f64 (-.f64 1 (.f64 x y)) x)) -1)

Compiler

Compiled 1497 to 960 computations (35.9% saved)

regimes116.0ms (6.3%)

Accuracy

Total 0.1b remaining (85.8%)

Threshold costs 0.1b (85.8%)

Counts

52 → 1

Compiler

Compiled 582 to 332 computations (43% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	13	10
2	21	10
3	27	10
4	30	10
5	31	10

Stop Event

1×

saturated

Calls

Call 1

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

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

end103.0ms (5.6%)

Stop Event

1×

fuel

Compiler

Compiled 132 to 91 computations (31.1% saved)

Iter	Nodes	Cost
0	7	10
1	16	10
2	33	10
3	71	10
4	161	10
5	238	10
6	325	10
7	429	10
8	669	10
9	714	10
10	746	10

Iter	Nodes	Cost
0	7	10
1	16	10
2	33	10
3	71	10
4	161	10
5	238	10
6	325	10
7	429	10
8	669	10
9	714	10
10	746	10

Details

analyze113.0ms (6.1%)

sample797.0ms (43.1%)

preprocess33.0ms (1.8%)

simplify15.0ms (0.8%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite40.0ms (2.2%)

simplify35.0ms (1.9%)

prune17.0ms (0.9%)

localize4.0ms (0.2%)

series5.0ms (0.3%)

rewrite59.0ms (3.2%)

simplify40.0ms (2.2%)

prune33.0ms (1.8%)

localize7.0ms (0.4%)

series12.0ms (0.6%)

rewrite56.0ms (3%)

simplify47.0ms (2.6%)

prune90.0ms (4.9%)

localize6.0ms (0.3%)

series18.0ms (1%)

rewrite52.0ms (2.8%)

simplify45.0ms (2.5%)

prune90.0ms (4.9%)

regimes116.0ms (6.3%)

simplify3.0ms (0.2%)

end103.0ms (5.6%)

Profiling

Iter	Nodes	Cost
0	7	10
1	16	10
2	33	10
3	71	10
4	161	10
5	238	10
6	325	10
7	429	10
8	669	10
9	714	10
10	746	10