Details

analyze111.0ms (3.9%)

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)

sample737.0ms (26%)

Results

720.0ms	8256×	body	128	valid
6.0ms	77×	body	128	invalid

preprocess28.0ms (1%)

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)

simplify14.0ms (0.5%)

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)))

eval1.0ms (0%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

prune4.0ms (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

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
	8.0b	(-.f64 x (.f64 y (.f64 x x)))
▶	0.1b	(.f64 x (-.f64 1 (.f64 x y)))

Compiler

Compiled 36 to 22 computations (38.9% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 x y))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))

series5.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite41.0ms (1.4%)

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	17
1	145	17
2	1841	17

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

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

simplify43.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

550×	`fma-neg_binary64`
460×	`cancel-sign-sub-inv_binary64`
291×	`associate-l_binary64`
250×	`unswap-sqr_binary64`
205×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	424
1	31	370
2	68	370
3	138	370
4	370	370
5	1286	370
6	2394	370
7	4123	370

Stop Event

1×	node limit

Counts

97 → 59

Calls

Call 1

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

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

eval13.0ms (0.5%)

Compiler: Compiled 696 to 376 computations (46% saved)

prune66.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	54	5	59
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	55	6	61

Error

0.0b

Counts

61 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	10.4b	(.f64 x (pow.f64 (sqrt.f64 (-.f64 1 (.f64 x y))) 2))
	8.0b	(fma.f64 (*.f64 x x) (neg.f64 y) x)
	7.1b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
	10.3b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (+.f64 (.f64 x y) (pow.f64 (.f64 x y) 2))))
▶	5.2b	(.f64 x (/.f64 1 (/.f64 (+.f64 1 (.f64 x y)) (-.f64 1 (pow.f64 (*.f64 x y) 2)))))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))

Compiler

Compiled 169 to 110 computations (34.9% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (/.f64 1 (/.f64 (+.f64 1 (.f64 x y)) (-.f64 1 (pow.f64 (*.f64 x y) 2)))))
✓	0.1b	(/.f64 1 (/.f64 (+.f64 1 (.f64 x y)) (-.f64 1 (pow.f64 (.f64 x y) 2))))
✓	0.3b	(pow.f64 (*.f64 x y) 2)
✓	4.8b	(/.f64 (+.f64 1 (.f64 x y)) (-.f64 1 (pow.f64 (.f64 x y) 2)))

series16.0ms (0.6%)

Counts

4 → 96

Calls

24 calls:

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

rewrite630.0ms (22.2%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`prod-diff_binary64`
136×	`add-sqr-sqrt_binary64`
132×	`pow1_binary64`
131×	`*-un-lft-identity_binary64`
127×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	70
1	273	34
2	3775	34

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

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

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

simplify51.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

590×	`fma-def_binary64`
347×	`distribute-neg-frac_binary64`
304×	`unswap-sqr_binary64`
260×	`sub-neg_binary64`
185×	`associate-/l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	1264
1	126	1182
2	373	1170
3	1480	1162
4	4158	1124

Stop Event

1×	node limit

Counts

234 → 164

Calls

Call 1

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

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

eval49.0ms (1.7%)

Compiler: Compiled 2770 to 1728 computations (37.6% saved)

prune453.0ms (15.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	161	3	164
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	165	5	170

Error

0.0b

Counts

170 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(/.f64 1 (/.f64 (/.f64 1 (-.f64 1 (*.f64 x y))) x))
	8.0b	(fma.f64 (*.f64 x x) (neg.f64 y) x)
▶	0.1b	(/.f64 x (/.f64 1 (-.f64 1 (*.f64 x y))))
	5.2b	(.f64 x (.f64 (/.f64 1 (fma.f64 x y 1)) (pow.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 x y) 2))) -1)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))

Compiler

Compiled 119 to 86 computations (27.7% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (*.f64 x y))
✓	0.1b	(/.f64 1 (-.f64 1 (*.f64 x y)))
✓	0.1b	(/.f64 x (/.f64 1 (-.f64 1 (*.f64 x y))))

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite47.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`log1p-expm1-u_binary64`
864×	`expm1-log1p-u_binary64`
91×	`add-sqr-sqrt_binary64`
88×	`*-un-lft-identity_binary64`
88×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	178	20
2	2408	20

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

simplify41.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

586×	`fma-def_binary64`
354×	`distribute-neg-frac_binary64`
304×	`unswap-sqr_binary64`
256×	`sub-neg_binary64`
182×	`associate-/l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	836
1	120	790
2	354	778
3	1447	770
4	4076	732

Stop Event

1×	node limit

Counts

111 → 83

Calls

Call 1

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

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

eval32.0ms (1.1%)

Compiler: Compiled 1609 to 950 computations (41% saved)

prune212.0ms (7.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	1	2	3
Picked	0	1	1
Done	1	0	1
Total	116	6	122

Error

Counts

122 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(/.f64 1 (/.f64 (/.f64 1 (-.f64 1 (*.f64 x y))) x))
	8.0b	(fma.f64 (*.f64 x x) (neg.f64 y) x)
✓	0.1b	(/.f64 x (/.f64 1 (-.f64 1 (*.f64 x y))))
▶	0.1b	(+.f64 x (.f64 x (.f64 x (neg.f64 y))))
	5.1b	(/.f64 x (.f64 (/.f64 1 (-.f64 1 (pow.f64 (.f64 x y) 2))) (+.f64 1 (*.f64 x y))))
	0.5b	(/.f64 x (.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))) -1)))

Compiler

Compiled 159 to 110 computations (30.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 x (.f64 x (neg.f64 y))))
✓	0.2b	(.f64 x (.f64 x (neg.f64 y)))

series6.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite47.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`pow1_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
83×	`associate-r_binary64`
82×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	155	15
2	2308	15

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

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

simplify46.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-neg_binary64`
838×	`fma-def_binary64`
251×	`unswap-sqr_binary64`
248×	`associate-l_binary64`
240×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	452
1	21	434
2	49	434
3	120	434
4	331	434
5	1136	434
6	3084	434
7	4627	434

Stop Event

1×	node limit

Counts

108 → 65

Calls

Call 1

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

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

eval13.0ms (0.5%)

Compiler: Compiled 772 to 266 computations (65.5% saved)

prune63.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	65	6	71

Error

Counts

71 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(/.f64 1 (/.f64 (/.f64 1 (-.f64 1 (*.f64 x y))) x))
	8.0b	(fma.f64 (*.f64 x x) (neg.f64 y) x)
✓	0.1b	(/.f64 x (/.f64 1 (-.f64 1 (*.f64 x y))))
✓	0.1b	(+.f64 x (.f64 x (.f64 x (neg.f64 y))))
	5.1b	(/.f64 x (.f64 (/.f64 1 (-.f64 1 (pow.f64 (.f64 x y) 2))) (+.f64 1 (*.f64 x y))))
	0.5b	(/.f64 x (.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x y))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x y))) -1)))

Compiler

Compiled 85 to 59 computations (30.6% saved)

regimes28.0ms (1%)

Accuracy

Total -19.9b remaining (-23161.9%)

Threshold costs -19.9b (-23161.9%)

Counts

13 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
7.0ms	0.1b	1	`x`
9.0ms	0.1b	1	`y`
8.0ms	0.1b	1	`(.f64 x (-.f64 1 (.f64 x y)))`

Compiler

Compiled 187 to 109 computations (41.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	16	12
2	28	10
3	42	10
4	47	10
5	49	10

Stop Event

1×

saturated

Calls

Call 1

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

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

end15.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 18 to 10 computations (44.4% 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

analyze111.0ms (3.9%)

sample737.0ms (26%)

preprocess28.0ms (1%)

simplify14.0ms (0.5%)

eval1.0ms (0%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

series5.0ms (0.2%)

rewrite41.0ms (1.4%)

simplify43.0ms (1.5%)

eval13.0ms (0.5%)

prune66.0ms (2.3%)

localize8.0ms (0.3%)

series16.0ms (0.6%)

rewrite630.0ms (22.2%)

simplify51.0ms (1.8%)

eval49.0ms (1.7%)

prune453.0ms (15.9%)

localize5.0ms (0.2%)

series4.0ms (0.1%)

rewrite47.0ms (1.6%)

simplify41.0ms (1.5%)

eval32.0ms (1.1%)

prune212.0ms (7.5%)

localize5.0ms (0.2%)

series6.0ms (0.2%)

rewrite47.0ms (1.6%)

simplify46.0ms (1.6%)

eval13.0ms (0.5%)

prune63.0ms (2.2%)

regimes28.0ms (1%)

simplify2.0ms (0.1%)

end15.0ms (0.5%)

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