Details

analyze106.0ms (6.8%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample690.0ms (44.4%)

Results

671.0ms	8256×	body	128	valid
7.0ms	97×	body	128	invalid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess29.0ms (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)

simplify13.0ms (0.9%)

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)))

prune5.0ms (0.3%)

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	8.1b	(-.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 (0.3%)

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)))

rewrite37.0ms (2.3%)

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 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 exp.f64 (log.f64 (.f64 x (-.f64 1 (*.f64 x y)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (neg.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 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 exp.f64 (log.f64 (*.f64 x (-.f64 1 (*.f64 x y)))))))))

simplify35.0ms (2.2%)

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 (1.1%)

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

Counts

27 → 5

Alt Table

Status	Error	Program
	8.1b	(-.f64 x (.f64 y (.f64 x x)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
	32.0b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) 2)
▶	7.6b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
	12.6b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (+.f64 (.f64 x y) (pow.f64 (.f64 x y) 2))))

Compiler

Compiled 391 to 228 computations (41.7% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 x y) 2)
✓	0.3b	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x)
✓	6.8b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))

series12.0ms (0.8%)

Counts

3 → 72

Calls

18 calls:

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

rewrite56.0ms (3.6%)

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

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

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

simplify48.0ms (3.1%)

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)))

prune79.0ms (5.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	102	5	107

Error

Counts

107 → 5

Alt Table

Status	Error	Program
	8.1b	(-.f64 x (.f64 y (.f64 x x)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
▶	7.6b	(/.f64 (.f64 (-.f64 1 (.f64 y (.f64 x (.f64 x y)))) x) (+.f64 1 (*.f64 x y)))
	32.0b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) 2)
✓	7.6b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 1892 to 1104 computations (41.6% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x y))
✓	0.3b	(.f64 (-.f64 1 (.f64 y (.f64 x (.f64 x y)))) x)
✓	1.9b	(.f64 y (.f64 x (*.f64 x y)))
✓	6.8b	(/.f64 (.f64 (-.f64 1 (.f64 y (.f64 x (.f64 x y)))) x) (+.f64 1 (*.f64 x y)))

series8.0ms (0.5%)

Counts

4 → 96

Calls

24 calls:

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

rewrite57.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

506×	`fma-def_binary64`
213×	`fma-neg_binary64`
210×	`expm1-udef_binary64`
209×	`log1p-udef_binary64`
123×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	246	37
2	3505	37

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

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

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

simplify53.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	910
1	50	910
2	131	910
3	530	910
4	2592	910
5	4774	910

Stop Event

1×	node limit

Counts

204 → 121

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

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

prune79.0ms (5.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	121	5	126

Error

Counts

126 → 5

Alt Table

Status	Error	Program
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
▶	8.1b	(fma.f64 (*.f64 x x) (neg.f64 y) x)
✓	7.6b	(/.f64 (.f64 (-.f64 1 (.f64 y (.f64 x (.f64 x y)))) x) (+.f64 1 (*.f64 x y)))
	32.0b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) 2)
✓	7.6b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 2263 to 1329 computations (41.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.8b	(fma.f64 (*.f64 x x) (neg.f64 y) x)

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite31.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

486×	`pow1_binary64`
448×	`add-log-exp_binary64`
447×	`log1p-expm1-u_binary64`
447×	`expm1-log1p-u_binary64`
436×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	122	8
2	1504	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify36.0ms (2.3%)

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

45 → 26

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)))

prune12.0ms (0.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	26	5	31

Error

Counts

31 → 5

Alt Table

Status	Error	Program
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
✓	8.1b	(fma.f64 (*.f64 x x) (neg.f64 y) x)
✓	7.6b	(/.f64 (.f64 (-.f64 1 (.f64 y (.f64 x (.f64 x y)))) x) (+.f64 1 (*.f64 x y)))
	32.0b	(pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (.f64 x y)))) 2)
✓	7.6b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 338 to 120 computations (64.5% saved)

regimes57.0ms (3.7%)

Accuracy

Total 0.1b remaining (71.9%)

Threshold costs 0.1b (71.9%)

Counts

29 → 1

Compiler

Compiled 391 to 220 computations (43.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	27	10
3	33	10
4	37	10
5	38	10

Stop Event

1×

saturated

Calls

Call 1

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

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

end61.0ms (3.9%)

Stop Event

1×

fuel

Compiler

Compiled 84 to 54 computations (35.7% 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

analyze106.0ms (6.8%)

sample690.0ms (44.4%)

preprocess29.0ms (1.8%)

simplify13.0ms (0.9%)

prune5.0ms (0.3%)

localize4.0ms (0.3%)

series4.0ms (0.2%)

rewrite37.0ms (2.3%)

simplify35.0ms (2.2%)

prune17.0ms (1.1%)

localize7.0ms (0.4%)

series12.0ms (0.8%)

rewrite56.0ms (3.6%)

simplify48.0ms (3.1%)

prune79.0ms (5.1%)

localize9.0ms (0.6%)

series8.0ms (0.5%)

rewrite57.0ms (3.7%)

simplify53.0ms (3.4%)

prune79.0ms (5.1%)

localize4.0ms (0.3%)

series3.0ms (0.2%)

rewrite31.0ms (2%)

simplify36.0ms (2.3%)

prune12.0ms (0.8%)

regimes57.0ms (3.7%)

simplify2.0ms (0.1%)

end61.0ms (3.9%)

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