Details

analyze56.0ms (1.3%)

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

Compiler

Compiled 10 to 7 computations (30% saved)

sample973.0ms (22%)

Results

925.0ms	8256×	body	256	valid
18.0ms	181×	body	256	invalid

preprocess107.0ms (2.4%)

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 11 to 8 computations (27.3% saved)

simplify15.0ms (0.3%)

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)

prune1.0ms (0%)

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
▶	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
▶	8.9b	(-.f64 x (.f64 y (.f64 x x)))

Compiler

Compiled 18 to 11 computations (38.9% saved)

localize59.0ms (1.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 19 to 5 computations (73.7% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite52.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`pow1_binary64`
693×	`add-log-exp_binary64`
693×	`log1p-expm1-u_binary64`
693×	`expm1-log1p-u_binary64`
676×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

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

Outputs

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

simplify68.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

881×	`fma-neg_binary64`
835×	`fma-def_binary64`
539×	`distribute-rgt-neg-in_binary64`
480×	`cancel-sign-sub-inv_binary64`
394×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	9	396
1	21	378
2	49	378
3	120	378
4	337	378
5	1142	378
6	3093	378
7	4635	378
8	6835	378
9	7626	342

Stop Event

1×	node limit

Counts

98 → 56

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 9 computations (55% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`pow1_binary64`
682×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
669×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	145	10
2	1841	10

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

881×	`fma-neg_binary64`
838×	`fma-def_binary64`
541×	`distribute-rgt-neg-in_binary64`
478×	`cancel-sign-sub-inv_binary64`
396×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	9	236
1	21	218
2	49	218
3	120	218
4	331	218
5	1146	218
6	3094	218
7	4635	218
8	6829	218
9	7631	174

Stop Event

1×	node limit

Counts

43 → 24

Calls

Call 1

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

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

eval19.0ms (0.4%)

Compiler: Compiled 1036 to 388 computations (62.5% saved)

prune18.0ms (0.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	74	8	82

Error

0.0b

Counts

82 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 x (.f64 (.f64 x (neg.f64 y)) x))
	21.6b	x
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
▶	32.6b	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
▶	9.2b	(-.f64 x (pow.f64 (cbrt.f64 (.f64 y (.f64 x x))) 3))
▶	8.1b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
▶	14.6b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
✓	8.9b	(-.f64 x (.f64 y (.f64 x x)))

Compiler

Compiled 165 to 105 computations (36.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 x (neg.f64 y)) x)
	0.0b	(+.f64 x (.f64 (.f64 x (neg.f64 y)) x))
✓	0.0b	(+.f64 x (.f64 (.f64 x (neg.f64 y)) x))
✓	0.1b	(.f64 (.f64 x (neg.f64 y)) x)

Compiler

Compiled 24 to 6 computations (75% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite56.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	157	15
2	2307	15

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-neg_binary64`
838×	`fma-def_binary64`
539×	`distribute-rgt-neg-in_binary64`
478×	`cancel-sign-sub-inv_binary64`
394×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 9 (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
8	6815	434
9	7613	342

Stop Event

1×	node limit

Counts

104 → 61

Calls

Call 1

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

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

localize35.0ms (0.8%)

Local error

Found 6 expressions with local error:

New	Error	Program
	6.8b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))
	0.7b	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x)
	0.2b	(pow.f64 (*.f64 x y) 2)
✓	0.2b	(pow.f64 (*.f64 x y) 2)
✓	0.7b	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x)
✓	6.8b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) x) (+.f64 1 (*.f64 x y)))

Compiler

Compiled 50 to 26 computations (48% saved)

series12.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite87.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

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

Outputs

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

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

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

simplify86.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	778
1	46	742
2	128	742
3	512	742
4	2511	742
5	4621	742
6	6433	742
7	7780	742

Stop Event

1×	node limit

Counts

189 → 127

Calls

Call 1

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

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

localize31.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	10.8b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
	3.1b	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x)
	0.3b	(pow.f64 (*.f64 x y) 3)
	0.1b	(.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))
✓	0.1b	(.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))
✓	0.3b	(pow.f64 (*.f64 x y) 3)
✓	3.1b	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x)
✓	10.8b	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))

Compiler

Compiled 76 to 37 computations (51.3% saved)

series22.0ms (0.5%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x)
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
1.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
1.0ms	y	@	-inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
1.0ms	y	@	inf	(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) x) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))

rewrite94.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	300	41
2	4247	41

Stop Event

1×	node limit

Counts

4 → 199

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 1 (.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (-.f64 1 (.f64 x y)) x))) (cbrt.f64 (exp.f64 (.f64 (-.f64 1 (.f64 x y)) x))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (-.f64 1 (.f64 x y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (-.f64 1 (.f64 x y)) x)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (-.f64 1 (.f64 x y)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 1 (.f64 x y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1) x)) (/.f64 (pow.f64 (.f64 x y) 3) (/.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (-.f64 1 (.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) (/.f64 1 (/.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) (.f64 x (/.f64 1 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (/.f64 1 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (.f64 x y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))) 2) (.f64 (cbrt.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))) (/.f64 1 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (-.f64 1 (.f64 x y)) x)) (pow.f64 (cbrt.f64 (.f64 (-.f64 1 (.f64 x y)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 1 (.f64 x y)) x)) 2) (cbrt.f64 (.f64 (-.f64 1 (.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))) (.f64 (sqrt.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))) (/.f64 1 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 x y)) x)) (sqrt.f64 (.f64 (-.f64 1 (.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) (neg.f64 x)) (/.f64 1 (neg.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1)) (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (-.f64 1 (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) 1) (/.f64 x (fma.f64 x (.f64 y (fma.f64 x y 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))) 2) 1) (/.f64 (cbrt.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))) (fma.f64 x (.f64 y (fma.f64 x y 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))) 1) (/.f64 (sqrt.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))) (fma.f64 x (.f64 y (fma.f64 x y 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1)) 2)) (/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1)) 2)) (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1)) 2)) (cbrt.f64 (.f64 (-.f64 1 (.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1)) 2)) (/.f64 (sqrt.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))) (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 (sqrt.f64 (fma.f64 x y 1)) (.f64 x y))) (/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (hypot.f64 (sqrt.f64 (fma.f64 x y 1)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (hypot.f64 (sqrt.f64 (fma.f64 x y 1)) (.f64 x y))) (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) (hypot.f64 (sqrt.f64 (fma.f64 x y 1)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) (hypot.f64 (sqrt.f64 (fma.f64 x y 1)) (.f64 x y))) (/.f64 x (hypot.f64 (sqrt.f64 (fma.f64 x y 1)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))) 2) (hypot.f64 (sqrt.f64 (fma.f64 x y 1)) (.f64 x y))) (/.f64 (cbrt.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))) (hypot.f64 (sqrt.f64 (fma.f64 x y 1)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (+.f64 1 (pow.f64 (.f64 x (.f64 y (fma.f64 x y 1))) 3))) (fma.f64 (.f64 x (.f64 y (fma.f64 x y 1))) (fma.f64 x (.f64 y (fma.f64 x y 1)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (-.f64 1 (pow.f64 (.f64 x (.f64 y (fma.f64 x y 1))) 2))) (-.f64 1 (.f64 x (.f64 y (fma.f64 x y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (-.f64 1 (.f64 x y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (-.f64 1 (.f64 x y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (-.f64 1 (.f64 x y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (-.f64 1 (.f64 x y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 (-.f64 1 (.f64 x y)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) (neg.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (-.f64 1 (.f64 x y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (-.f64 1 (.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 1 (.f64 x y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (-.f64 1 (.f64 x y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) 3) (pow.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (-.f64 1 (.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (-.f64 1 (.f64 x y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (-.f64 1 (.f64 x y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (-.f64 1 (*.f64 x y)) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (neg.f64 (pow.f64 (.f64 x y) 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 x (neg.f64 (pow.f64 (.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (.f64 x y) 3))) x)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (.f64 x y) 3))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (.f64 x y) 3))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (.f64 x y) 3))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (.f64 x y) 3))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 9)) x) (+.f64 1 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x y) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 6)) x) (+.f64 1 (pow.f64 (.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 9))) (+.f64 1 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x y) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 6))) (+.f64 1 (pow.f64 (.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (pow.f64 (.f64 x y) 3))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 (.f64 x y) 3)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 (neg.f64 (pow.f64 (.f64 x y) 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 x (neg.f64 (pow.f64 (.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (.f64 (neg.f64 (pow.f64 (.f64 x y) 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (.f64 x (neg.f64 (pow.f64 (.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 (neg.f64 (pow.f64 (.f64 x y) 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 x (neg.f64 (pow.f64 (.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 (neg.f64 (pow.f64 (.f64 x y) 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 x (neg.f64 (pow.f64 (.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (neg.f64 (pow.f64 (.f64 x y) 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 x (neg.f64 (pow.f64 (.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (-.f64 1 (pow.f64 (.f64 x y) 3)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x y) 3))) (cbrt.f64 (exp.f64 (pow.f64 (.f64 x y) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x y) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (.f64 x y) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 y (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 x (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x y) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x y) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x y) 2) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) (pow.f64 (.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 3) (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x y) 3/2) (pow.f64 (.f64 x y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) 3) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 x y)) 3) (pow.f64 (sqrt.f64 (.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x y) 2) 1) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x y) 2) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x y) 2) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 x y) 2) (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x y) 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 (.f64 x y) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (.f64 x y) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 x y) 3)))) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 x y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (.f64 x y) 3/2)) (hypot.f64 1 (pow.f64 (.f64 x y) 3/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x y) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 y (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 x y) 2) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (fma.f64 x y 1))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (fma.f64 x y 1))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (fma.f64 x y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (fma.f64 x y 1)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (fma.f64 x y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x y) 6)) (+.f64 (pow.f64 (.f64 x y) 2) (fma.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2) (neg.f64 (pow.f64 (.f64 x y) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2))) (-.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) 3)) (.f64 x y)) (fma.f64 (.f64 x y) (fma.f64 x y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (.f64 x y) 2)) (.f64 x y)) (-.f64 1 (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x y) (+.f64 1 (pow.f64 (.f64 x y) 3))) (fma.f64 (.f64 x y) (fma.f64 x y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x y) (-.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 y (fma.f64 x y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 y (fma.f64 x y 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (.f64 x y) (sqrt.f64 (.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 y (fma.f64 x y 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 y (fma.f64 x y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 y (fma.f64 x y 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (exp.f64 (pow.f64 (.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (pow.f64 (.f64 x y) 2)) (pow.f64 (exp.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (pow.f64 (.f64 x y) 2)) (+.f64 1 (expm1.f64 (.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 y (fma.f64 x y 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x y) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x y) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (.f64 x y) 2) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 y (.f64 x y)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 x (.f64 x y)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x y) 1 (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x y) 1 (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x y) (.f64 x y) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) (.f64 y y) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y y) (.f64 x x) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) 1) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) 1) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 (cbrt.f64 (.f64 x y)) (.f64 x y)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1)) 2) (cbrt.f64 (fma.f64 x (.f64 y (fma.f64 x y 1)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) x) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) x) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x y)) (pow.f64 (.f64 x y) 3/2) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) 1) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) 1) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (fma.f64 x y 1)) (.f64 x y)) (hypot.f64 (sqrt.f64 (fma.f64 x y 1)) (.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (.f64 x (.f64 y (fma.f64 x y 1))) 3)) (/.f64 1 (fma.f64 (.f64 x (.f64 y (fma.f64 x y 1))) (fma.f64 x (.f64 y (fma.f64 x y 1)) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (.f64 x (.f64 y (fma.f64 x y 1))) 2)) (/.f64 1 (-.f64 1 (.f64 x (.f64 y (fma.f64 x y 1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 x y) 3/2) (sqrt.f64 (.f64 x y)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x y) y) x (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 (.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 (.f64 x y) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x y) x) y (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x y) (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 y (fma.f64 x y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 y (fma.f64 x y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 y (fma.f64 x y 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 y (fma.f64 x y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (log1p.f64 (.f64 x (*.f64 y (fma.f64 x y 1)))) 1))))))

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-def_binary64`
452×	`distribute-rgt-neg-in_binary64`
405×	`distribute-lft-neg-in_binary64`
370×	`unswap-sqr_binary64`
334×	`difference-of-squares_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	1078
1	142	1042
2	554	1024
3	1755	916
4	4722	916

Stop Event

1×	node limit

Counts

295 → 219

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
	0.1b	(*.f64 x (sqrt.f64 y))
	0.0b	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
✓	0.0b	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
✓	0.1b	(*.f64 x (sqrt.f64 y))
✓	0.2b	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)

Compiler

Compiled 25 to 10 computations (60% saved)

series12.0ms (0.3%)

Counts

3 → 37

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
1.0ms	y	@	0	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
1.0ms	x	@	0	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
1.0ms	y	@	inf	(pow.f64 (*.f64 x (sqrt.f64 y)) 2)
1.0ms	y	@	-inf	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))

rewrite58.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`pow1_binary64`
788×	`add-log-exp_binary64`
787×	`log1p-expm1-u_binary64`
787×	`expm1-log1p-u_binary64`
767×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	177	23
2	2261	23

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

Outputs

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

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

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

simplify65.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

882×	`fma-neg_binary64`
857×	`fma-def_binary64`
540×	`distribute-rgt-neg-in_binary64`
479×	`cancel-sign-sub-inv_binary64`
395×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	11	271
1	24	262
2	52	262
3	127	262
4	350	262
5	1206	262
6	3188	262
7	4736	262
8	6979	262
9	7803	244

Stop Event

1×	node limit

Counts

110 → 81

Calls

Call 1

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

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

localize14.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	20.8b	(cbrt.f64 (.f64 y (.f64 x x)))
	10.9b	(.f64 y (.f64 x x))
	0.5b	(pow.f64 (cbrt.f64 (.f64 y (.f64 x x))) 3)
	0.0b	(-.f64 x (pow.f64 (cbrt.f64 (.f64 y (.f64 x x))) 3))
✓	0.0b	(-.f64 x (pow.f64 (cbrt.f64 (.f64 y (.f64 x x))) 3))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 y (.f64 x x))) 3)
	10.9b	(.f64 y (.f64 x x))
✓	20.8b	(cbrt.f64 (.f64 y (.f64 x x)))

Compiler

Compiled 37 to 11 computations (70.3% saved)

series13.0ms (0.3%)

Counts

3 → 6

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (.f64 y (.f64 x x))) 3)
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (.f64 y (.f64 x x))) 3)
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (.f64 y (.f64 x x))) 3)
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (.f64 y (.f64 x x))) 3)
1.0ms	y	@	-inf	(cbrt.f64 (.f64 y (.f64 x x)))

rewrite71.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

891×	`pow1_binary64`
836×	`add-log-exp_binary64`
836×	`log1p-expm1-u_binary64`
836×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	200	26
2	2386	26

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

Inputs
(cbrt.f64 (.f64 y (.f64 x x)))
(pow.f64 (cbrt.f64 (.f64 y (.f64 x x))) 3)
(-.f64 x (pow.f64 (cbrt.f64 (.f64 y (.f64 x x))) 3))

Outputs

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

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

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	6

Stop Event

1×

saturated

Counts

103 → 98

Calls

Call 1

Inputs
x
x
x
x
x
x

Outputs
x
x
x
x
x
x

eval212.0ms (4.8%)

Compiler: Compiled 11184 to 5546 computations (50.4% saved)

prune91.0ms (2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	592	7	599
Fresh	1	0	1
Picked	0	1	1
Done	4	2	6
Total	597	10	607

Error

Counts

607 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.6b	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
	30.4b	(-.f64 x (.f64 (.f64 (*.f64 y x) (sqrt.f64 x)) (sqrt.f64 x)))
✓	9.2b	(-.f64 x (pow.f64 (cbrt.f64 (.f64 y (.f64 x x))) 3))
▶	12.1b	(/.f64 (.f64 (-.f64 1 (.f64 x (.f64 y (.f64 x y)))) x) (+.f64 1 (*.f64 x y)))
▶	54.6b	(/.f64 (.f64 x (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
▶	40.6b	(.f64 x (.f64 y (neg.f64 x)))
▶	45.7b	(.f64 y (.f64 x (neg.f64 x)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
	21.6b	x
▶	0.1b	(-.f64 x (.f64 (.f64 y x) x))

Compiler

Compiled 192 to 115 computations (40.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 19 to 5 computations (73.7% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite55.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`pow1_binary64`
704×	`add-log-exp_binary64`
704×	`log1p-expm1-u_binary64`
704×	`expm1-log1p-u_binary64`
689×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	134	17
2	1939	17

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify68.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

881×	`fma-neg_binary64`
835×	`fma-def_binary64`
539×	`distribute-rgt-neg-in_binary64`
480×	`cancel-sign-sub-inv_binary64`
394×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	9	396
1	21	378
2	49	378
3	120	378
4	337	378
5	1142	378
6	3093	378
7	4635	378
8	6835	378
9	7626	342

Stop Event

1×	node limit

Counts

100 → 58

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite37.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`pow1_binary64`
458×	`add-sqr-sqrt_binary64`
452×	`*-un-lft-identity_binary64`
440×	`add-log-exp_binary64`
439×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	124	7
2	1623	7

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify77.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

575×	`distribute-rgt-neg-in_binary64`
574×	`fma-def_binary64`
568×	`distribute-lft-neg-in_binary64`
539×	`fma-neg_binary64`
370×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	216
1	18	216
2	43	216
3	99	216
4	266	216
5	876	216
6	1482	216
7	2666	216
8	3882	216
9	4751	216
10	5334	216
11	6046	216
12	7112	216

Stop Event

1×	node limit

Counts

36 → 14

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite35.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`pow1_binary64`
480×	`add-sqr-sqrt_binary64`
462×	`add-log-exp_binary64`
461×	`log1p-expm1-u_binary64`
461×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	125	7
2	1653	7

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify77.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

575×	`distribute-rgt-neg-in_binary64`
574×	`fma-def_binary64`
568×	`distribute-lft-neg-in_binary64`
539×	`fma-neg_binary64`
370×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	216
1	18	216
2	43	216
3	99	216
4	266	216
5	876	216
6	1482	216
7	2666	216
8	3882	216
9	4751	216
10	5334	216
11	6046	216
12	7112	216

Stop Event

1×	node limit

Counts

36 → 14

Calls

Call 1

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

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

localize18.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	7.4b	(.f64 x (.f64 y (*.f64 x y)))
	6.8b	(/.f64 (.f64 (-.f64 1 (.f64 x (.f64 y (.f64 x y)))) x) (+.f64 1 (*.f64 x y)))
	0.7b	(.f64 (-.f64 1 (.f64 x (.f64 y (.f64 x y)))) x)
	0.1b	(.f64 y (.f64 x y))
✓	0.1b	(.f64 y (.f64 x y))
✓	0.7b	(.f64 (-.f64 1 (.f64 x (.f64 y (.f64 x y)))) x)
✓	6.8b	(/.f64 (.f64 (-.f64 1 (.f64 x (.f64 y (.f64 x y)))) x) (+.f64 1 (*.f64 x y)))
✓	7.4b	(.f64 x (.f64 y (*.f64 x y)))

Compiler

Compiled 62 to 19 computations (69.4% saved)

series11.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

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

rewrite70.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`log-prod_binary64`
507×	`fma-def_binary64`
312×	`pow2_binary64`
273×	`pow-unpow_binary64`
218×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	245	37
2	3491	37

Stop Event

1×	node limit

Counts

4 → 130

Calls

Call 1

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

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

simplify125.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

676×	`distribute-rgt-neg-in_binary64`
638×	`distribute-lft-neg-in_binary64`
597×	`associate-l_binary64`
457×	`fma-neg_binary64`
454×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	946
1	48	910
2	130	910
3	507	910
4	2568	910
5	4709	910
6	6539	910
7	7889	910

Stop Event

1×	node limit

Counts

226 → 143

Calls

Call 1

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

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

localize25.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	10.8b	(/.f64 (.f64 x (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
	4.4b	(.f64 x (neg.f64 (pow.f64 (.f64 x y) 3)))
	0.3b	(pow.f64 (*.f64 x y) 3)
	0.1b	(.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))
	0.1b	(.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))
	0.3b	(pow.f64 (*.f64 x y) 3)
✓	4.4b	(.f64 x (neg.f64 (pow.f64 (.f64 x y) 3)))
✓	10.8b	(/.f64 (.f64 x (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))

Compiler

Compiled 73 to 34 computations (53.4% saved)

series30.0ms (0.7%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	(/.f64 (.f64 x (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
1.0ms	x	@	0	(.f64 x (neg.f64 (pow.f64 (.f64 x y) 3)))
1.0ms	y	@	0	(.f64 x (neg.f64 (pow.f64 (.f64 x y) 3)))
1.0ms	y	@	0	(/.f64 (.f64 x (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
1.0ms	x	@	inf	(/.f64 (.f64 x (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))

rewrite65.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`fma-def_binary64`
707×	`log-prod_binary64`
289×	`fma-neg_binary64`
220×	`expm1-udef_binary64`
220×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	296	34
2	4252	34

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify44.0ms (1%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-neg_binary64`
595×	`unswap-sqr_binary64`
544×	`fma-def_binary64`
402×	`associate-l_binary64`
368×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	850
1	209	790
2	845	780
3	3825	762

Stop Event

1×	node limit

Counts

120 → 89

Calls

Call 1

Inputs
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 (pow.f64 y 4) (pow.f64 x 5)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 (pow.f64 y 4) (pow.f64 x 5)) (.f64 (pow.f64 x 6) (+.f64 (pow.f64 y 5) (*.f64 -1 (pow.f64 y 5))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 (pow.f64 y 4) (pow.f64 x 5)) (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 y 6)) (.f64 -1 (.f64 y (+.f64 (pow.f64 y 5) (.f64 -1 (pow.f64 y 5)))))) (pow.f64 x 7)) (.f64 (pow.f64 x 6) (+.f64 (pow.f64 y 5) (.f64 -1 (pow.f64 y 5)))))))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x) (/.f64 1 (*.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 x (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2))))) (/.f64 1 (.f64 (pow.f64 y 2) x)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x) (/.f64 1 (*.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 x (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2))))) (/.f64 1 (.f64 (pow.f64 y 2) x)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 (pow.f64 y 4) (pow.f64 x 5)))
(+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1 (pow.f64 x 6)) (pow.f64 x 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 (pow.f64 y 4) (pow.f64 x 5))))
(+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1 (pow.f64 x 6)) (pow.f64 x 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 (pow.f64 y 4) (pow.f64 x 5)) (.f64 (pow.f64 y 6) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 x 6)) (pow.f64 x 6)) x)) (.f64 -1 (pow.f64 x 7)))))))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x) (/.f64 1 (*.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 x (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2))))) (/.f64 1 (.f64 (pow.f64 y 2) x)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x) (/.f64 1 (*.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 x (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2))))) (/.f64 1 (.f64 (pow.f64 y 2) x)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))

Outputs
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 (pow.f64 y 4) (pow.f64 x 5)))
(fma.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 (pow.f64 y 4) (pow.f64 x 5)))
(-.f64 (.f64 (pow.f64 y 4) (pow.f64 x 5)) (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 (pow.f64 y 3) (-.f64 (.f64 (pow.f64 x 5) y) (pow.f64 x 4)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 (pow.f64 y 4) (pow.f64 x 5)) (.f64 (pow.f64 x 6) (+.f64 (pow.f64 y 5) (*.f64 -1 (pow.f64 y 5))))))
(fma.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 (pow.f64 y 4) (pow.f64 x 5)))
(-.f64 (.f64 (pow.f64 y 4) (pow.f64 x 5)) (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 (pow.f64 y 3) (-.f64 (.f64 (pow.f64 x 5) y) (pow.f64 x 4)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 (pow.f64 y 4) (pow.f64 x 5)) (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 y 6)) (.f64 -1 (.f64 y (+.f64 (pow.f64 y 5) (.f64 -1 (pow.f64 y 5)))))) (pow.f64 x 7)) (.f64 (pow.f64 x 6) (+.f64 (pow.f64 y 5) (.f64 -1 (pow.f64 y 5)))))))
(fma.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 (pow.f64 y 4) (pow.f64 x 5) (fma.f64 (fma.f64 -1 (pow.f64 y 6) (neg.f64 (.f64 y (.f64 0 (pow.f64 y 5))))) (pow.f64 x 7) (.f64 (pow.f64 x 6) (*.f64 0 (pow.f64 y 5))))))
(-.f64 (fma.f64 (pow.f64 y 4) (pow.f64 x 5) (fma.f64 (-.f64 (.f64 y 0) (pow.f64 y 6)) (pow.f64 x 7) 0)) (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(-.f64 (fma.f64 (pow.f64 y 4) (pow.f64 x 5) (neg.f64 (.f64 (pow.f64 y 6) (pow.f64 x 7)))) (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(-.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 (pow.f64 x 5) y) (pow.f64 x 4))) (*.f64 (pow.f64 y 6) (pow.f64 x 7)))
(.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)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x) (/.f64 1 (*.f64 (pow.f64 y 2) x)))
(-.f64 (fma.f64 -1 (.f64 y (.f64 x x)) x) (/.f64 (/.f64 1 (*.f64 y y)) x))
(-.f64 (-.f64 x (.f64 y (.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 y y)))
(+.f64 x (fma.f64 y (.f64 x (neg.f64 x)) (/.f64 (/.f64 -1 y) (.f64 y x))))
(+.f64 (fma.f64 y (.f64 x (neg.f64 x)) x) (/.f64 (/.f64 -1 (.f64 y x)) y))
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 x (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2))))) (/.f64 1 (.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (fma.f64 -1 (.f64 y (.f64 x x)) x) (/.f64 1 (.f64 (pow.f64 y 3) (.f64 x x)))) (/.f64 (/.f64 1 (*.f64 y y)) x))
(+.f64 (-.f64 x (.f64 y (.f64 x x))) (-.f64 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 y y))))
(+.f64 x (+.f64 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 x x))) (fma.f64 y (.f64 x (neg.f64 x)) (/.f64 (/.f64 -1 y) (.f64 y x)))))
(+.f64 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 x x))) (+.f64 (fma.f64 y (.f64 x (neg.f64 x)) x) (/.f64 (/.f64 -1 (.f64 y x)) y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 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)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x) (/.f64 1 (*.f64 (pow.f64 y 2) x)))
(-.f64 (fma.f64 -1 (.f64 y (.f64 x x)) x) (/.f64 (/.f64 1 (*.f64 y y)) x))
(-.f64 (-.f64 x (.f64 y (.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 y y)))
(+.f64 x (fma.f64 y (.f64 x (neg.f64 x)) (/.f64 (/.f64 -1 y) (.f64 y x))))
(+.f64 (fma.f64 y (.f64 x (neg.f64 x)) x) (/.f64 (/.f64 -1 (.f64 y x)) y))
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 x (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2))))) (/.f64 1 (.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (fma.f64 -1 (.f64 y (.f64 x x)) x) (/.f64 1 (.f64 (pow.f64 y 3) (.f64 x x)))) (/.f64 (/.f64 1 (*.f64 y y)) x))
(+.f64 (-.f64 x (.f64 y (.f64 x x))) (-.f64 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 y y))))
(+.f64 x (+.f64 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 x x))) (fma.f64 y (.f64 x (neg.f64 x)) (/.f64 (/.f64 -1 y) (.f64 y x)))))
(+.f64 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 x x))) (+.f64 (fma.f64 y (.f64 x (neg.f64 x)) x) (/.f64 (/.f64 -1 (.f64 y x)) y)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 (pow.f64 y 4) (pow.f64 x 5)))
(fma.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 (pow.f64 y 4) (pow.f64 x 5)))
(-.f64 (.f64 (pow.f64 y 4) (pow.f64 x 5)) (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 (pow.f64 y 3) (-.f64 (.f64 (pow.f64 x 5) y) (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1 (pow.f64 x 6)) (pow.f64 x 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 (pow.f64 y 4) (pow.f64 x 5))))
(fma.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 (pow.f64 y 4) (pow.f64 x 5)))
(-.f64 (.f64 (pow.f64 y 4) (pow.f64 x 5)) (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(.f64 (pow.f64 y 3) (-.f64 (.f64 (pow.f64 x 5) y) (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1 (pow.f64 x 6)) (pow.f64 x 6))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 (pow.f64 y 4) (pow.f64 x 5)) (.f64 (pow.f64 y 6) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (pow.f64 x 6)) (pow.f64 x 6)) x)) (.f64 -1 (pow.f64 x 7)))))))
(fma.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 (pow.f64 y 4) (pow.f64 x 5) (fma.f64 (fma.f64 -1 (pow.f64 y 6) (neg.f64 (.f64 y (.f64 0 (pow.f64 y 5))))) (pow.f64 x 7) (.f64 (pow.f64 x 6) (*.f64 0 (pow.f64 y 5))))))
(-.f64 (fma.f64 (pow.f64 y 4) (pow.f64 x 5) (fma.f64 (-.f64 (.f64 y 0) (pow.f64 y 6)) (pow.f64 x 7) 0)) (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(-.f64 (fma.f64 (pow.f64 y 4) (pow.f64 x 5) (neg.f64 (.f64 (pow.f64 y 6) (pow.f64 x 7)))) (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(-.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 (pow.f64 x 5) y) (pow.f64 x 4))) (*.f64 (pow.f64 y 6) (pow.f64 x 7)))
(.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)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x) (/.f64 1 (*.f64 (pow.f64 y 2) x)))
(-.f64 (fma.f64 -1 (.f64 y (.f64 x x)) x) (/.f64 (/.f64 1 (*.f64 y y)) x))
(-.f64 (-.f64 x (.f64 y (.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 y y)))
(+.f64 x (fma.f64 y (.f64 x (neg.f64 x)) (/.f64 (/.f64 -1 y) (.f64 y x))))
(+.f64 (fma.f64 y (.f64 x (neg.f64 x)) x) (/.f64 (/.f64 -1 (.f64 y x)) y))
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 x (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2))))) (/.f64 1 (.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (fma.f64 -1 (.f64 y (.f64 x x)) x) (/.f64 1 (.f64 (pow.f64 y 3) (.f64 x x)))) (/.f64 (/.f64 1 (*.f64 y y)) x))
(+.f64 (-.f64 x (.f64 y (.f64 x x))) (-.f64 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 y y))))
(+.f64 x (+.f64 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 x x))) (fma.f64 y (.f64 x (neg.f64 x)) (/.f64 (/.f64 -1 y) (.f64 y x)))))
(+.f64 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 x x))) (+.f64 (fma.f64 y (.f64 x (neg.f64 x)) x) (/.f64 (/.f64 -1 (.f64 y x)) y)))
(.f64 -1 (.f64 y (pow.f64 x 2)))
(neg.f64 (.f64 y (.f64 x x)))
(.f64 y (neg.f64 (.f64 x x)))
(.f64 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)))
(fma.f64 y (*.f64 x (neg.f64 x)) x)
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) x) (/.f64 1 (*.f64 (pow.f64 y 2) x)))
(-.f64 (fma.f64 -1 (.f64 y (.f64 x x)) x) (/.f64 (/.f64 1 (*.f64 y y)) x))
(-.f64 (-.f64 x (.f64 y (.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 y y)))
(+.f64 x (fma.f64 y (.f64 x (neg.f64 x)) (/.f64 (/.f64 -1 y) (.f64 y x))))
(+.f64 (fma.f64 y (.f64 x (neg.f64 x)) x) (/.f64 (/.f64 -1 (.f64 y x)) y))
(-.f64 (+.f64 (.f64 -1 (.f64 y (pow.f64 x 2))) (+.f64 x (/.f64 1 (.f64 (pow.f64 y 3) (pow.f64 x 2))))) (/.f64 1 (.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (fma.f64 -1 (.f64 y (.f64 x x)) x) (/.f64 1 (.f64 (pow.f64 y 3) (.f64 x x)))) (/.f64 (/.f64 1 (*.f64 y y)) x))
(+.f64 (-.f64 x (.f64 y (.f64 x x))) (-.f64 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 x x))) (/.f64 (/.f64 1 x) (*.f64 y y))))
(+.f64 x (+.f64 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 x x))) (fma.f64 y (.f64 x (neg.f64 x)) (/.f64 (/.f64 -1 y) (.f64 y x)))))
(+.f64 (/.f64 1 (.f64 (pow.f64 y 3) (.f64 x x))) (+.f64 (fma.f64 y (.f64 x (neg.f64 x)) x) (/.f64 (/.f64 -1 (.f64 y x)) y)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))
(.f64 -1 (.f64 (pow.f64 y 3) (pow.f64 x 4)))
(neg.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (neg.f64 (pow.f64 y 3)))

eval228.0ms (5.2%)

Compiler: Compiled 8914 to 4627 computations (48.1% saved)

prune70.0ms (1.6%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	441	0	441
Fresh	0	2	2
Picked	0	1	1
Done	0	7	7
Total	441	10	451

Error

Counts

451 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.6b	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
▶	30.4b	(-.f64 x (.f64 (.f64 (*.f64 y x) (sqrt.f64 x)) (sqrt.f64 x)))
✓	9.2b	(-.f64 x (pow.f64 (cbrt.f64 (.f64 y (.f64 x x))) 3))
✓	12.1b	(/.f64 (.f64 (-.f64 1 (.f64 x (.f64 y (.f64 x y)))) x) (+.f64 1 (*.f64 x y)))
✓	54.6b	(/.f64 (.f64 x (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
✓	40.6b	(.f64 x (.f64 y (neg.f64 x)))
✓	45.7b	(.f64 y (.f64 x (neg.f64 x)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
	21.6b	x
✓	0.1b	(-.f64 x (.f64 (.f64 y x) x))

Compiler

Compiled 113 to 69 computations (38.9% saved)

localize10.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 35 to 7 computations (80% saved)

series15.0ms (0.3%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(.f64 (.f64 (*.f64 y x) (sqrt.f64 x)) (sqrt.f64 x))
2.0ms	x	@	-inf	(.f64 (.f64 y x) (sqrt.f64 x))
1.0ms	y	@	0	(.f64 (.f64 y x) (sqrt.f64 x))
1.0ms	x	@	0	(.f64 (.f64 y x) (sqrt.f64 x))
1.0ms	y	@	inf	(.f64 (.f64 y x) (sqrt.f64 x))

rewrite58.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`pow1_binary64`
868×	`add-log-exp_binary64`
868×	`log1p-expm1-u_binary64`
868×	`expm1-log1p-u_binary64`
848×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	176	24
2	2439	24

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Outputs

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

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

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

simplify83.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

525×	`unswap-sqr_binary64`
442×	`fabs-mul_binary64`
332×	`fma-neg_binary64`
329×	`distribute-rgt-neg-in_binary64`
310×	`neg-sub0_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	18	504
1	49	486
2	117	462
3	322	462
4	1368	462
5	3717	462
6	5946	462
7	6919	426
8	7716	426

Stop Event

1×	node limit

Counts

124 → 75

Calls

Call 1

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

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

eval36.0ms (0.8%)

Compiler: Compiled 1039 to 356 computations (65.7% saved)

prune13.0ms (0.3%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	1	0	1
Picked	1	0	1
Done	0	8	8
Total	75	10	85

Error

Counts

85 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	9.2b	(-.f64 x (pow.f64 (cbrt.f64 (.f64 y (.f64 x x))) 3))
✓	12.1b	(/.f64 (.f64 (-.f64 1 (.f64 x (.f64 y (.f64 x y)))) x) (+.f64 1 (*.f64 x y)))
✓	54.6b	(/.f64 (.f64 x (neg.f64 (pow.f64 (.f64 x y) 3))) (+.f64 1 (.f64 (.f64 x y) (+.f64 1 (*.f64 x y)))))
	21.6b	x
✓	40.6b	(.f64 x (.f64 y (neg.f64 x)))
✓	45.7b	(.f64 y (.f64 x (neg.f64 x)))
	32.8b	(-.f64 x (.f64 (.f64 y (pow.f64 x 3/2)) (sqrt.f64 x)))
✓	0.1b	(.f64 x (-.f64 1 (.f64 x y)))
✓	32.6b	(-.f64 x (pow.f64 (*.f64 x (sqrt.f64 y)) 2))
✓	0.1b	(-.f64 x (.f64 (.f64 y x) x))

Compiler

Compiled 112 to 70 computations (37.5% saved)

regimes34.0ms (0.8%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
6.0ms	y
6.0ms	(.f64 x (-.f64 1 (.f64 x y)))

Results

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

Compiler

Compiled 109 to 59 computations (45.9% saved)

regimes73.0ms (1.6%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

48.0ms	y
23.0ms	x

Results

Error	Segments	Branch
15.8b	6	`x`
11.0b	3	`y`

Compiler

Compiled 21 to 11 computations (47.6% saved)

bsearch191.0ms (4.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
108.0ms	1.4296278382842286e+29	2.3769073069680426e+30
83.0ms	-7.015434992048774e+81	-1.6625112969175462e+79

Compiler

Compiled 209 to 145 computations (30.6% saved)

regimes34.0ms (0.8%)

Accuracy

Total -48.0b remaining (-364.4%)

Threshold costs -48.0b (-364.4%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	x
11.0ms	y

Results

Error	Segments	Branch
15.1b	7	`x`
13.2b	3	`y`

Compiler

Compiled 15 to 9 computations (40% saved)

bsearch155.0ms (3.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
80.0ms	1.4296278382842286e+29	2.3769073069680426e+30
74.0ms	-7.015434992048774e+81	-1.6625112969175462e+79

Compiler

Compiled 209 to 145 computations (30.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	73
1	38	73
2	57	73
3	72	73
4	79	73
5	81	73

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (.f64 (.f64 y x) x))
(if (<=.f64 y -7000000000000000080846909281003599381056688845436880876040559972156116564875149312) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 y 2349999999999999948212626522112) x (.f64 x (.f64 y (neg.f64 x)))))
(if (<=.f64 y -7000000000000000080846909281003599381056688845436880876040559972156116564875149312) (.f64 y (.f64 x (neg.f64 x))) (if (<=.f64 y 2349999999999999948212626522112) x (.f64 y (.f64 x (neg.f64 x)))))
x

Outputs
(-.f64 x (.f64 (.f64 y x) x))
(-.f64 x (.f64 x (.f64 x y)))
(if (<=.f64 y -7000000000000000080846909281003599381056688845436880876040559972156116564875149312) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 y 2349999999999999948212626522112) x (.f64 x (.f64 y (neg.f64 x)))))
(if (<=.f64 y -7000000000000000080846909281003599381056688845436880876040559972156116564875149312) (.f64 x (.f64 x (neg.f64 y))) (if (<=.f64 y 2349999999999999948212626522112) x (.f64 x (.f64 x (neg.f64 y)))))
(if (<=.f64 y -7000000000000000080846909281003599381056688845436880876040559972156116564875149312) (.f64 y (.f64 x (neg.f64 x))) (if (<=.f64 y 2349999999999999948212626522112) x (.f64 y (.f64 x (neg.f64 x)))))
x

end33.0ms (0.7%)

Stop Event

1×

fuel

Compiler

Compiled 110 to 52 computations (52.7% saved)

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

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

Details

analyze56.0ms (1.3%)

sample973.0ms (22%)

preprocess107.0ms (2.4%)

simplify15.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize59.0ms (1.3%)

series6.0ms (0.1%)

rewrite52.0ms (1.2%)

simplify68.0ms (1.5%)

localize10.0ms (0.2%)

series4.0ms (0.1%)

rewrite41.0ms (0.9%)

simplify62.0ms (1.4%)

eval19.0ms (0.4%)

prune18.0ms (0.4%)

localize10.0ms (0.2%)

series4.0ms (0.1%)

rewrite56.0ms (1.3%)

simplify75.0ms (1.7%)

localize35.0ms (0.8%)

series12.0ms (0.3%)

rewrite87.0ms (2%)

simplify86.0ms (1.9%)

localize31.0ms (0.7%)

series22.0ms (0.5%)

rewrite94.0ms (2.1%)

simplify62.0ms (1.4%)

localize10.0ms (0.2%)

series12.0ms (0.3%)

rewrite58.0ms (1.3%)

simplify65.0ms (1.5%)

localize14.0ms (0.3%)

series13.0ms (0.3%)

rewrite71.0ms (1.6%)

simplify9.0ms (0.2%)

eval212.0ms (4.8%)

prune91.0ms (2%)

localize7.0ms (0.1%)

series3.0ms (0.1%)

rewrite55.0ms (1.2%)

simplify68.0ms (1.5%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite37.0ms (0.8%)

simplify77.0ms (1.7%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite35.0ms (0.8%)

simplify77.0ms (1.7%)

localize18.0ms (0.4%)

series11.0ms (0.3%)

rewrite70.0ms (1.6%)

simplify125.0ms (2.8%)

localize25.0ms (0.6%)

series30.0ms (0.7%)

rewrite65.0ms (1.5%)

simplify44.0ms (1%)

eval228.0ms (5.2%)

prune70.0ms (1.6%)

localize10.0ms (0.2%)

series15.0ms (0.3%)

rewrite58.0ms (1.3%)

simplify83.0ms (1.9%)

eval36.0ms (0.8%)

prune13.0ms (0.3%)

regimes34.0ms (0.8%)

regimes73.0ms (1.6%)

bsearch191.0ms (4.3%)

regimes34.0ms (0.8%)

bsearch155.0ms (3.5%)

simplify4.0ms (0.1%)

end33.0ms (0.7%)

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