Details

analyze78.0ms (1.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample850.0ms (12%)

Results

707.0ms	7718×	body	256	valid
66.0ms	235×	body	1024	valid
41.0ms	149×	body	2048	valid
23.0ms	154×	body	512	valid

preprocess31.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

98×	`fma-neg_binary64`
42×	`fma-def_binary64`
32×	`cancel-sign-sub-inv_binary64`
18×	`associate--r+_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	23	14
2	41	10
3	68	10
4	94	10
5	142	10
6	208	10
7	317	10
8	375	10
9	389	10
10	391	10
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 x (*.f64 (/.f64 3 8) y))
(-.f64 y (*.f64 (/.f64 3 8) x))

Outputs
(-.f64 x (*.f64 (/.f64 3 8) y))
(+.f64 x (*.f64 -3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)
(-.f64 y (*.f64 (/.f64 3 8) x))
(+.f64 y (*.f64 -3/8 x))
(+.f64 y (*.f64 x -3/8))
(fma.f64 x -3/8 y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

65×	`fma-def_binary64`
50×	`fma-neg_binary64`
24×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	16	7
2	26	5
3	40	5
4	55	5
5	79	5
6	127	5
7	172	5
8	216	5
9	273	5
10	315	5
11	319	5

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 x (*.f64 (/.f64 3 8) y))

Outputs
(-.f64 x (*.f64 (/.f64 3 8) y))
(+.f64 x (*.f64 -3/8 y))
(+.f64 x (*.f64 y -3/8))
(fma.f64 y -3/8 x)

eval1.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% 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

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 y -3/8 x)
▶	0.1b	(-.f64 x (*.f64 (/.f64 3 8) y))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 (/.f64 3 8) y))

Compiler

Compiled 21 to 16 computations (23.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(-.f64 x (*.f64 (/.f64 3 8) y))
1.0ms	x	@	0	(-.f64 x (*.f64 (/.f64 3 8) y))
0.0ms	x	@	inf	(-.f64 x (*.f64 (/.f64 3 8) y))
0.0ms	y	@	0	(-.f64 x (*.f64 (/.f64 3 8) y))
0.0ms	y	@	-inf	(-.f64 x (*.f64 (/.f64 3 8) y))

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`pow1_binary64`
792×	`add-log-exp_binary64`
791×	`log1p-expm1-u_binary64`
791×	`expm1-log1p-u_binary64`
779×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	177	7
2	2141	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(-.f64 x (*.f64 (/.f64 3 8) y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (.f64 y -3/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -3/8)) (fma.f64 (neg.f64 y) 3/8 (.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -3/8)) (fma.f64 -3/8 y (.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -3/8)) (fma.f64 (.f64 y -3/8) 1 (.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -3/8)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 3/8 y))) (pow.f64 (cbrt.f64 (.f64 3/8 y)) 2) (.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 y -3/8)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 3/8 y))) (sqrt.f64 (.f64 3/8 y)) (.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 y -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x (.f64 y -3/8))) (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -3/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x (.f64 y -3/8))) 2) (cbrt.f64 (+.f64 x (.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x (.f64 y -3/8))) (sqrt.f64 (+.f64 x (.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 3) (.f64 27/512 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (.f64 (.f64 3/8 y) (+.f64 x (.f64 3/8 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (pow.f64 (.f64 3/8 y) 2)) (/.f64 1 (+.f64 x (.f64 3/8 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 3/8 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (.f64 3/8 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 3/8 y) (+.f64 x (.f64 3/8 y)))) (-.f64 (pow.f64 x 3) (.f64 27/512 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (.f64 3/8 y)) (-.f64 (.f64 x x) (pow.f64 (.f64 3/8 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (.f64 27/512 (pow.f64 y 3))) (fma.f64 x x (.f64 (.f64 3/8 y) (+.f64 x (.f64 3/8 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 3/8 y) 2)) (+.f64 x (.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (.f64 27/512 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (.f64 (.f64 3/8 y) (+.f64 x (.f64 3/8 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 3/8 y) 2))) (neg.f64 (+.f64 x (.f64 3/8 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y -3/8) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (.f64 x (.f64 y -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (.f64 y -3/8) (.f64 y -3/8))) (-.f64 x (.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 y -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (.f64 y -3/8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (.f64 y -3/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (.f64 y -3/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (.f64 y -3/8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (.f64 y -3/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 y -3/8))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y -3/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -3/8)) (fma.f64 (neg.f64 y) 3/8 (*.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -3/8)) (fma.f64 -3/8 y (*.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -3/8)) (fma.f64 (*.f64 y -3/8) 1 (*.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -3/8)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 3/8 y))) (pow.f64 (cbrt.f64 (*.f64 3/8 y)) 2) (*.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 y -3/8)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 3/8 y))) (sqrt.f64 (*.f64 3/8 y)) (*.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))) 2) (cbrt.f64 (+.f64 x (*.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (*.f64 y -3/8))) (sqrt.f64 (+.f64 x (*.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (*.f64 27/512 (pow.f64 y 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 3/8 y) (+.f64 x (*.f64 3/8 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 3/8 y) 2)) (/.f64 1 (+.f64 x (*.f64 3/8 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 3/8 y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 3/8 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 3/8 y) (+.f64 x (*.f64 3/8 y)))) (-.f64 (pow.f64 x 3) (*.f64 27/512 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 3/8 y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 3/8 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (*.f64 27/512 (pow.f64 y 3))) (fma.f64 x x (*.f64 (*.f64 3/8 y) (+.f64 x (*.f64 3/8 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 3/8 y) 2)) (+.f64 x (*.f64 3/8 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (*.f64 27/512 (pow.f64 y 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 3/8 y) (+.f64 x (*.f64 3/8 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 3/8 y) 2))) (neg.f64 (+.f64 x (*.f64 3/8 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y -3/8) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y -3/8) (*.f64 y -3/8)) (*.f64 x (*.f64 y -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y -3/8) (*.f64 y -3/8))) (-.f64 x (*.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y -3/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 y -3/8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 y -3/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 y -3/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 y -3/8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 y -3/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (*.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -3/8))))))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	105
1	9	105
2	10	105

Stop Event

1×

saturated

Counts

61 → 41

Calls

Call 1

Inputs
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)

Outputs
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 y -3/8 x)

Compiler

Compiled 9 to 5 computations (44.4% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 y -3/8 x)
0.0ms	y	@	0	(fma.f64 y -3/8 x)
0.0ms	y	@	-inf	(fma.f64 y -3/8 x)
0.0ms	y	@	inf	(fma.f64 y -3/8 x)
0.0ms	x	@	-inf	(fma.f64 y -3/8 x)

rewrite46.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`pow1_binary64`
439×	`add-sqr-sqrt_binary64`
429×	`*-un-lft-identity_binary64`
417×	`add-log-exp_binary64`
417×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	100	5
2	1108	5

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 y -3/8 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y -3/8) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -3/8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 y -3/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 y -3/8 x)) (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2) (cbrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y -3/8 x)) (sqrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y -3/8) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (-.f64 (.f64 x x) (.f64 (.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (.f64 x x)) (-.f64 (*.f64 y -3/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -3/8 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -3/8 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -3/8 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -3/8 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -3/8 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y -3/8) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -3/8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -3/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -3/8 x)) (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2) (cbrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y -3/8 x)) (sqrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y -3/8) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y -3/8) (*.f64 y -3/8)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y -3/8) (*.f64 y -3/8)) (*.f64 x x)) (-.f64 (*.f64 y -3/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -3/8 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -3/8 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -3/8 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -3/8 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -3/8 x)))))))

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	105
1	9	105
2	10	105

Stop Event

1×

saturated

Counts

45 → 25

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)

Outputs
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)

eval23.0ms (0.3%)

Compiler: Compiled 684 to 465 computations (32% saved)

prune10.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	63	5	68

Error

Counts

68 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.8b	(*.f64 -3/8 y)
▶	0.1b	(+.f64 (*.f64 y -3/8) x)
	33.8b	x
▶	31.3b	(/.f64 (-.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (.f64 x x)) (-.f64 (*.f64 y -3/8) x))
✓	0b	(fma.f64 y -3/8 x)

Compiler

Compiled 40 to 28 computations (30% saved)

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 y -3/8) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+.f64 (*.f64 y -3/8) x)
0.0ms	x	@	0	(+.f64 (*.f64 y -3/8) x)
0.0ms	y	@	inf	(+.f64 (*.f64 y -3/8) x)
0.0ms	x	@	-inf	(+.f64 (*.f64 y -3/8) x)
0.0ms	y	@	-inf	(+.f64 (*.f64 y -3/8) x)

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`pow1_binary64`
643×	`add-log-exp_binary64`
643×	`log1p-expm1-u_binary64`
643×	`expm1-log1p-u_binary64`
630×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	131	5
2	1734	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (*.f64 y -3/8) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y -3/8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y -3/8) 2) (-.f64 (*.f64 y -3/8) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -3/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -3/8 x)) (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2) (cbrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y -3/8 x)) (sqrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -27/512 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 x (-.f64 x (*.f64 y -3/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 x (-.f64 x (*.f64 y -3/8)))) (+.f64 (*.f64 -27/512 (pow.f64 y 3)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y -3/8) x) (-.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -27/512 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 x (-.f64 x (*.f64 y -3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -27/512 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 y (*.f64 -3/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 x x)) (-.f64 (*.f64 y -3/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 -27/512 (pow.f64 y 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 x (-.f64 x (*.f64 y -3/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y -3/8) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y -3/8) 2)) (-.f64 x (*.f64 y -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -3/8 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -3/8 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -3/8 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -3/8 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -3/8 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3/8 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -3/8)) 2) (cbrt.f64 (*.f64 y -3/8)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y -3/8)) (sqrt.f64 (*.f64 y -3/8)) x)))))

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	105
1	9	105
2	10	105

Stop Event

1×

saturated

Counts

59 → 38

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)

Outputs
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 y -3/8) x)
✓	0.3b	(.f64 (.f64 y -3/8) (*.f64 y -3/8))
✓	3.4b	(-.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (.f64 x x))
✓	29.5b	(/.f64 (-.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (.f64 x x)) (-.f64 (*.f64 y -3/8) x))

Compiler

Compiled 51 to 30 computations (41.2% saved)

series18.0ms (0.3%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/.f64 (-.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (.f64 x x)) (-.f64 (*.f64 y -3/8) x))
2.0ms	y	@	0	(/.f64 (-.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (.f64 x x)) (-.f64 (*.f64 y -3/8) x))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (.f64 x x)) (-.f64 (*.f64 y -3/8) x))
1.0ms	y	@	inf	(/.f64 (-.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (.f64 x x)) (-.f64 (*.f64 y -3/8) x))
1.0ms	x	@	0	(-.f64 (*.f64 y -3/8) x)

rewrite175.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

741×	`fma-def_binary64`
662×	`log-prod_binary64`
368×	`fma-neg_binary64`
313×	`pow2_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	49
1	242	32
2	3788	32

Stop Event

1×	node limit

Counts

4 → 441

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (.f64 x x)) (-.f64 (*.f64 y -3/8) x))
(-.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (.f64 x x))
(.f64 (.f64 y -3/8) (*.f64 y -3/8))
(-.f64 (*.f64 y -3/8) x)

Outputs
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#<rule egg-rr> (2) ((x fma.f64 (.f64 y -3/8) 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y -3/8) 1 (.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y (.f64 9/64 y) (.f64 x (neg.f64 x))) (/.f64 1 (fma.f64 y -3/8 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y (.f64 9/64 y) (.f64 x (neg.f64 x))) (/.f64 1 (fma.f64 y -3/8 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y (.f64 9/64 y) (.f64 x (neg.f64 x))) (/.f64 1 (fma.f64 y -3/8 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 y -3/8) x) 1 (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 y -3/8) x) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 y -3/8) x) 1 (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y -3/8) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y -3/8) (.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (.f64 y -3/8) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (.f64 y -3/8) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (.f64 y -3/8) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 x) (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 y -3/8)) 2) (cbrt.f64 (.f64 y -3/8)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 y -3/8)) 2) (cbrt.f64 (.f64 y -3/8)) (.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) -3/8) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) -3/8) (.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (.f64 y -3/8) x)) (cbrt.f64 (pow.f64 (-.f64 (.f64 y -3/8) x) 2)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (.f64 y -3/8) x)) (cbrt.f64 (pow.f64 (-.f64 (.f64 y -3/8) x) 2)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (.f64 y -3/8) x)) (cbrt.f64 (pow.f64 (-.f64 (.f64 y -3/8) x) 2)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 y -3/8) x) 2)) (cbrt.f64 (-.f64 (.f64 y -3/8) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 y -3/8) x) 2)) (cbrt.f64 (-.f64 (.f64 y -3/8) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 y -3/8) x) 2)) (cbrt.f64 (-.f64 (.f64 y -3/8) x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 y -3/8)) (pow.f64 (cbrt.f64 (.f64 y -3/8)) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 y -3/8)) (pow.f64 (cbrt.f64 (.f64 y -3/8)) 2) (.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 (.f64 9/64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 (.f64 9/64 y)) (.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) -3/8) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) -3/8) (.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (.f64 y -3/8) x)) (sqrt.f64 (-.f64 (.f64 y -3/8) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (.f64 y -3/8) x)) (sqrt.f64 (-.f64 (.f64 y -3/8) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (.f64 y -3/8) x)) (sqrt.f64 (-.f64 (.f64 y -3/8) x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 y -3/8)) (sqrt.f64 (.f64 y -3/8)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 y -3/8)) (sqrt.f64 (.f64 y -3/8)) (.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 (pow.f64 y 3) -27/512) (pow.f64 x 3)) (/.f64 1 (fma.f64 y (.f64 9/64 y) (.f64 x (fma.f64 y -3/8 x)))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 (pow.f64 y 3) -27/512) (pow.f64 x 3)) (/.f64 1 (fma.f64 y (.f64 9/64 y) (.f64 x (fma.f64 y -3/8 x)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (.f64 (pow.f64 y 3) -27/512) (pow.f64 x 3)) (/.f64 1 (fma.f64 y (.f64 9/64 y) (.f64 x (fma.f64 y -3/8 x)))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 y (.f64 y -3/8))) (sqrt.f64 -3/8) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 y (.f64 y -3/8))) (sqrt.f64 -3/8) (.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 y -3/8) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y -3/8)) 2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 y -3/8) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 y -3/8)) 2)) (.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (.f64 y -3/8)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (.f64 y -3/8)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (.f64 y -3/8)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (.f64 y -3/8)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (.f64 y -3/8)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (.f64 y -3/8)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -3/8 (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -3/8 (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -3/8 (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -3/8 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (neg.f64 x) 1))))))

simplify197.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

762×	`fma-neg_binary64`
529×	`distribute-rgt-neg-in_binary64`
492×	`fma-def_binary64`
484×	`unswap-sqr_binary64`
392×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	627
1	36	609
2	62	609
3	123	609
4	356	609
5	1210	609
6	2567	609
7	4851	609
8	5937	609
9	6994	609
10	7686	609

Stop Event

1×	node limit

Counts

525 → 453

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 9/64 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 9/64 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 9/64 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 -1 x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(*.f64 -3/8 y)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(*.f64 -3/8 y)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(*.f64 -3/8 y)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(*.f64 -1 x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(*.f64 -1 x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(+.f64 (.f64 -3/8 y) (.f64 -1 x))

Outputs
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(-.f64 (.f64 9/64 (.f64 y y)) (*.f64 x x))
(fma.f64 y (.f64 y 9/64) (.f64 x (neg.f64 x)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (.f64 -1 x))
(fma.f64 -3/8 y (neg.f64 x))
(-.f64 (*.f64 -3/8 y) x)

eval623.0ms (8.8%)

Compiler: Compiled 11045 to 6128 computations (44.5% saved)

prune109.0ms (1.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	487	4	491
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	489	7	496

Error

Counts

496 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.4b	(-.f64 (/.f64 y (/.f64 (-.f64 (.f64 y -3/8) x) (.f64 9/64 y))) (/.f64 (.f64 x x) (-.f64 (.f64 y -3/8) x)))
✓	0.1b	(+.f64 (*.f64 y -3/8) x)
▶	31.3b	(/.f64 (+.f64 (.f64 y (.f64 9/64 y)) (.f64 x (neg.f64 x))) (-.f64 (.f64 y -3/8) x))
✓	29.8b	(*.f64 -3/8 y)
	33.8b	x
✓	0b	(fma.f64 y -3/8 x)
▶	45.5b	(/.f64 (.f64 y (.f64 y 9/64)) (-.f64 (*.f64 y -3/8) x))

Compiler

Compiled 75 to 51 computations (32% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 y -3/8) x)
✓	0.2b	(/.f64 y (/.f64 (-.f64 (.f64 y -3/8) x) (.f64 9/64 y)))
✓	0.3b	(/.f64 (-.f64 (.f64 y -3/8) x) (.f64 9/64 y))
✓	17.1b	(/.f64 (.f64 x x) (-.f64 (.f64 y -3/8) x))

Compiler

Compiled 70 to 41 computations (41.4% saved)

series18.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 y -3/8) x) (.f64 9/64 y))
2.0ms	y	@	inf	(/.f64 (-.f64 (.f64 y -3/8) x) (.f64 9/64 y))
1.0ms	x	@	0	(/.f64 (.f64 x x) (-.f64 (.f64 y -3/8) x))
1.0ms	y	@	0	(/.f64 y (/.f64 (-.f64 (.f64 y -3/8) x) (.f64 9/64 y)))
1.0ms	y	@	inf	(/.f64 (.f64 x x) (-.f64 (.f64 y -3/8) x))

rewrite94.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`log-prod_binary64`
313×	`fma-def_binary64`
276×	`log-div_binary64`
247×	`expm1-udef_binary64`
247×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	279	42
2	4302	42

Stop Event

1×	node limit

Counts

3 → 164

Calls

Call 1

Inputs
(/.f64 (.f64 x x) (-.f64 (.f64 y -3/8) x))
(/.f64 (-.f64 (.f64 y -3/8) x) (.f64 9/64 y))
(/.f64 y (/.f64 (-.f64 (.f64 y -3/8) x) (.f64 9/64 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (-.f64 (*.f64 y -3/8) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y -3/8) x)) x))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y -3/8) x)) x))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y -3/8) x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y -3/8) x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y -3/8) x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y -3/8) x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (-.f64 (*.f64 y -3/8) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y -3/8) x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (-.f64 (*.f64 y -3/8) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y -3/8) x)) x)) (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 (*.f64 y -3/8) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 (*.f64 y -3/8) x) 2))) (cbrt.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y -3/8) x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) (/.f64 x (sqrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 y -3/8) x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 (*.f64 y -3/8) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -3/8) x)) 2)) (/.f64 x (cbrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -3/8) x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -3/8) x)) 2)) (cbrt.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y -3/8) x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) (/.f64 (*.f64 x x) (sqrt.f64 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(sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 9/64 (/.f64 y (-.f64 (*.f64 y -3/8) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 (-.f64 (*.f64 y -3/8) x) (neg.f64 (/.f64 64/9 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9/64 (/.f64 y (-.f64 (*.f64 y -3/8) x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 y -3/8) x)) (/.f64 y (/.f64 64/9 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (*.f64 9/64 (/.f64 y (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (-.f64 (*.f64 y -3/8) x)) (/.f64 (cbrt.f64 y) (/.f64 64/9 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (-.f64 (*.f64 y -3/8) x)) (/.f64 (sqrt.f64 y) (/.f64 64/9 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 (-.f64 (*.f64 y -3/8) x) (/.f64 64/9 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 (-.f64 (*.f64 y -3/8) x) (/.f64 64/9 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) (/.f64 64/9 y)) 2))) (/.f64 y (cbrt.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) (/.f64 64/9 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) (/.f64 64/9 y)) 2))) (cbrt.f64 (*.f64 (*.f64 y 9/64) (/.f64 y (-.f64 (*.f64 y -3/8) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) (/.f64 64/9 y)) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) (/.f64 64/9 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) (/.f64 64/9 y)))) (/.f64 y (sqrt.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) (/.f64 64/9 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) (/.f64 64/9 y)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) (/.f64 64/9 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 (-.f64 (*.f64 y -3/8) x))) (*.f64 y -9/64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) y) 9/64)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) 9/64) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) 1) (*.f64 y 9/64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (cbrt.f64 (*.f64 81/4096 (*.f64 y y)))) (cbrt.f64 (*.f64 y 9/64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 3/8 (sqrt.f64 y))) (*.f64 3/8 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y 9/64) (/.f64 y (-.f64 (*.f64 y -3/8) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 y 9/64) (/.f64 y (-.f64 (*.f64 y -3/8) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 y 9/64) (/.f64 y (-.f64 (*.f64 y -3/8) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 y 9/64) (/.f64 y (-.f64 (*.f64 y -3/8) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 y -3/8) x) (*.f64 y (*.f64 y 9/64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 y -3/8) x) (*.f64 y (*.f64 y 9/64))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 (-.f64 (*.f64 y -3/8) x) (neg.f64 (/.f64 64/9 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 y 9/64) (/.f64 y (-.f64 (*.f64 y -3/8) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 y 9/64) (/.f64 y (-.f64 (*.f64 y -3/8) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 y 9/64) (/.f64 y (-.f64 (*.f64 y -3/8) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 y 9/64) (/.f64 y (-.f64 (*.f64 y -3/8) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) (/.f64 64/9 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 y 9/64) (/.f64 y (-.f64 (*.f64 y -3/8) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 y 9/64) (/.f64 y (-.f64 (*.f64 y -3/8) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 y 9/64) (/.f64 y (-.f64 (*.f64 y -3/8) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 y 9/64) (/.f64 y (-.f64 (*.f64 y -3/8) x)))) 1))))))

simplify109.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

610×	`associate-r_binary64`
583×	`associate-*l/_binary64`
510×	`associate-l_binary64`
400×	`associate-*r/_binary64`
336×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1224
1	179	1203
2	499	1203
3	1805	1119
4	6598	1119

Stop Event

1×	node limit

Counts

236 → 201

Calls

Call 1

Inputs
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -8/3 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 -512/27 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 4096/81 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 -512/27 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 3/8 y))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1 x) (*.f64 3/8 y)))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1 x) (.f64 3/8 y))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 3/8 y))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1 x) (*.f64 3/8 y)))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1 x) (.f64 3/8 y))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 3/8 y))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1 x) (*.f64 3/8 y)))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1 x) (.f64 3/8 y))))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -8/3 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 -512/27 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 4096/81 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 -512/27 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -8/3 (/.f64 (pow.f64 x 2) y)))
(+.f64 (.f64 -512/27 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 4096/81 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 -512/27 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -64/9 (/.f64 x y))
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
-8/3
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
-8/3
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
-8/3
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
(*.f64 -64/9 (/.f64 x y))
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
(*.f64 -64/9 (/.f64 x y))
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
(-.f64 (*.f64 -64/9 (/.f64 x y)) 8/3)
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))

Outputs
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(/.f64 (.f64 -8/3 (.f64 x x)) y)
(.f64 -8/3 (.f64 (/.f64 x y) x))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -8/3 (/.f64 (pow.f64 x 2) y)))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -8/3 (/.f64 (*.f64 x x) y)))
(fma.f64 -8/3 (/.f64 (.f64 x x) y) (.f64 (/.f64 64/9 y) (/.f64 (pow.f64 x 3) y)))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -8/3 (*.f64 (/.f64 x y) x)))
(.f64 (/.f64 x (/.f64 y x)) (+.f64 -8/3 (/.f64 (.f64 x 64/9) y)))
(+.f64 (.f64 -512/27 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (*.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(fma.f64 -512/27 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -8/3 (/.f64 (*.f64 x x) y))))
(fma.f64 -512/27 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -8/3 (/.f64 (.f64 x x) y) (.f64 (/.f64 64/9 y) (/.f64 (pow.f64 x 3) y))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -8/3 (.f64 (/.f64 x y) x) (/.f64 (*.f64 -512/27 (pow.f64 x 4)) (pow.f64 y 3))))
(fma.f64 -512/27 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (.f64 (/.f64 x (/.f64 y x)) (+.f64 -8/3 (/.f64 (.f64 x 64/9) y))))
(fma.f64 -512/27 (.f64 (pow.f64 (/.f64 x y) 3) x) (.f64 (/.f64 x (/.f64 y x)) (+.f64 -8/3 (/.f64 (*.f64 x 64/9) y))))
(+.f64 (.f64 4096/81 (/.f64 (pow.f64 x 5) (pow.f64 y 4))) (+.f64 (.f64 -512/27 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 4096/81 (/.f64 (pow.f64 x 5) (pow.f64 y 4)) (fma.f64 -512/27 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (.f64 -8/3 (/.f64 (*.f64 x x) y)))))
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(+.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (*.f64 27/512 (/.f64 y x)))) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 243/32768 (/.f64 (pow.f64 x 4) (pow.f64 y 5)))))
(+.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (.f64 27/512 (/.f64 y x)))) (fma.f64 -81/4096 (.f64 (pow.f64 (/.f64 y x) 3) y) (/.f64 243/32768 (/.f64 (pow.f64 x 4) (pow.f64 y 5)))))
(*.f64 -3/8 y)
(*.f64 y -3/8)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(fma.f64 y -3/8 x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (.f64 x x) y)))
(fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 (*.f64 x x) y) x))
(fma.f64 -8/3 (*.f64 (/.f64 x y) x) (fma.f64 y -3/8 x))
(fma.f64 -8/3 (/.f64 x (/.f64 y x)) (fma.f64 y -3/8 x))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (*.f64 x x) y))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 (.f64 x x) y) x)))
(fma.f64 y -3/8 (fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -8/3 (.f64 (/.f64 x y) x) x)))
(+.f64 (.f64 (/.f64 x (/.f64 y x)) (+.f64 -8/3 (/.f64 (.f64 x 64/9) y))) (fma.f64 y -3/8 x))
(*.f64 -3/8 y)
(*.f64 y -3/8)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(fma.f64 y -3/8 x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (.f64 x x) y)))
(fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 (*.f64 x x) y) x))
(fma.f64 -8/3 (*.f64 (/.f64 x y) x) (fma.f64 y -3/8 x))
(fma.f64 -8/3 (/.f64 x (/.f64 y x)) (fma.f64 y -3/8 x))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (*.f64 x x) y))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 (.f64 x x) y) x)))
(fma.f64 y -3/8 (fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -8/3 (.f64 (/.f64 x y) x) x)))
(+.f64 (.f64 (/.f64 x (/.f64 y x)) (+.f64 -8/3 (/.f64 (.f64 x 64/9) y))) (fma.f64 y -3/8 x))
(*.f64 -3/8 y)
(*.f64 y -3/8)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(fma.f64 y -3/8 x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (.f64 x x) y)))
(fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 (*.f64 x x) y) x))
(fma.f64 -8/3 (*.f64 (/.f64 x y) x) (fma.f64 y -3/8 x))
(fma.f64 -8/3 (/.f64 x (/.f64 y x)) (fma.f64 y -3/8 x))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (*.f64 x x) y))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 (.f64 x x) y) x)))
(fma.f64 y -3/8 (fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -8/3 (.f64 (/.f64 x y) x) x)))
(+.f64 (.f64 (/.f64 x (/.f64 y x)) (+.f64 -8/3 (/.f64 (.f64 x 64/9) y))) (fma.f64 y -3/8 x))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(.f64 -9/64 (/.f64 (.f64 y y) x))
(/.f64 -9/64 (/.f64 x (*.f64 y y)))
(*.f64 -9/64 (/.f64 y (/.f64 x y)))
(.f64 (.f64 y y) (/.f64 -9/64 x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (.f64 (/.f64 27/512 (.f64 x x)) (pow.f64 y 3)))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (*.f64 27/512 (/.f64 y x))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -9/64 (/.f64 y (/.f64 x y)) (/.f64 (.f64 (pow.f64 y 4) -81/4096) (pow.f64 x 3))))
(fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (*.f64 27/512 (/.f64 y x)))))
(fma.f64 -81/4096 (.f64 (pow.f64 (/.f64 y x) 3) y) (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (.f64 27/512 (/.f64 y x)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (/.f64 (.f64 (pow.f64 y 4) -81/4096) (pow.f64 x 3)))))
(+.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (*.f64 27/512 (/.f64 y x)))) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 243/32768 (/.f64 (pow.f64 x 4) (pow.f64 y 5)))))
(+.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (.f64 27/512 (/.f64 y x)))) (fma.f64 -81/4096 (.f64 (pow.f64 (/.f64 y x) 3) y) (/.f64 243/32768 (/.f64 (pow.f64 x 4) (pow.f64 y 5)))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(.f64 -9/64 (/.f64 (.f64 y y) x))
(/.f64 -9/64 (/.f64 x (*.f64 y y)))
(*.f64 -9/64 (/.f64 y (/.f64 x y)))
(.f64 (.f64 y y) (/.f64 -9/64 x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (.f64 (/.f64 27/512 (.f64 x x)) (pow.f64 y 3)))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (*.f64 27/512 (/.f64 y x))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -9/64 (/.f64 y (/.f64 x y)) (/.f64 (.f64 (pow.f64 y 4) -81/4096) (pow.f64 x 3))))
(fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (*.f64 27/512 (/.f64 y x)))))
(fma.f64 -81/4096 (.f64 (pow.f64 (/.f64 y x) 3) y) (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (.f64 27/512 (/.f64 y x)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (/.f64 (.f64 (pow.f64 y 4) -81/4096) (pow.f64 x 3)))))
(+.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (*.f64 27/512 (/.f64 y x)))) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 243/32768 (/.f64 (pow.f64 x 4) (pow.f64 y 5)))))
(+.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (.f64 27/512 (/.f64 y x)))) (fma.f64 -81/4096 (.f64 (pow.f64 (/.f64 y x) 3) y) (/.f64 243/32768 (/.f64 (pow.f64 x 4) (pow.f64 y 5)))))

localize46.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 y -3/8) x)
✓	0.1b	(.f64 y (.f64 y 9/64))
✓	19.4b	(/.f64 (.f64 y (.f64 y 9/64)) (-.f64 (*.f64 y -3/8) x))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/.f64 (.f64 y (.f64 y 9/64)) (-.f64 (*.f64 y -3/8) x))
1.0ms	y	@	0	(/.f64 (.f64 y (.f64 y 9/64)) (-.f64 (*.f64 y -3/8) x))
1.0ms	x	@	inf	(/.f64 (.f64 y (.f64 y 9/64)) (-.f64 (*.f64 y -3/8) x))
1.0ms	y	@	inf	(/.f64 (.f64 y (.f64 y 9/64)) (-.f64 (*.f64 y -3/8) x))
1.0ms	x	@	-inf	(/.f64 (.f64 y (.f64 y 9/64)) (-.f64 (*.f64 y -3/8) x))

rewrite107.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`prod-diff_binary64`
584×	`log-prod_binary64`
358×	`fma-def_binary64`
279×	`pow2_binary64`
230×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	222	23
2	3135	23

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

Inputs
(/.f64 (.f64 y (.f64 y 9/64)) (-.f64 (*.f64 y -3/8) x))
(.f64 y (.f64 y 9/64))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 (-.f64 (*.f64 y -3/8) x) (*.f64 y 9/64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (*.f64 y 9/64) (/.f64 1 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 9/64) (*.f64 y (/.f64 1 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 y 9/64)) (/.f64 1 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -3/8) (*.f64 (*.f64 y -3/8) (/.f64 1 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (*.f64 9/64 (/.f64 1 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y -3/8)) 2) 2) (*.f64 (pow.f64 (cbrt.f64 (*.f64 y -3/8)) 2) (/.f64 1 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64)) 2)) (cbrt.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y -3/8) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) (/.f64 (*.f64 y -3/8) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y y) -9/64) (/.f64 1 (neg.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 y -3/8) x)) (*.f64 y (*.f64 y 9/64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (*.f64 y 9/64) (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y 9/64) 1) (/.f64 y (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) 1) (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y -3/8)) 2) 2) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -3/8)) 2) (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y -3/8) 1) (/.f64 (*.f64 y -3/8) (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -3/8) x)) 2)) (/.f64 (*.f64 y 9/64) (cbrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y 9/64) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -3/8) x)) 2)) (/.f64 y (cbrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -3/8) x)) 2)) (/.f64 (*.f64 y (*.f64 y 9/64)) (cbrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -3/8) x)) 2)) (/.f64 9/64 (cbrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y -3/8)) 2) 2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -3/8) x)) 2)) (cbrt.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y -3/8) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -3/8) x)) 2)) (/.f64 (*.f64 y -3/8) (cbrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) (/.f64 (*.f64 y 9/64) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y 9/64) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) (/.f64 y (sqrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) (/.f64 (*.f64 y (*.f64 y 9/64)) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y y) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) (/.f64 9/64 (sqrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y -3/8)) 2) 2) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 y -3/8)) 2) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (*.f64 y 9/64)) (-.f64 (*.f64 (pow.f64 y 3) -27/512) (pow.f64 x 3))) (fma.f64 y (*.f64 y 9/64) (*.f64 x (fma.f64 y -3/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (*.f64 y 9/64)) (-.f64 (*.f64 y (*.f64 y 9/64)) (*.f64 x x))) (fma.f64 y -3/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y -3/8) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 y -3/8) x) (*.f64 y (*.f64 y 9/64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 y 9/64)) 3) (pow.f64 (-.f64 (*.f64 y -3/8) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 y -3/8) x) (*.f64 y (*.f64 y 9/64))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y (*.f64 y 9/64)) (neg.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 y 9/64)) 3) (pow.f64 (-.f64 (*.f64 y -3/8) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) (*.f64 y 9/64))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 y 9/64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 9/64))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 9/64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 9/64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 9/64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y 9/64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y 9/64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -3/8) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y y) 2) 81/4096) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 y 9/64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 y -3/8)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 y 9/64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y 9/64) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y y) 2) 81/4096))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y 9/64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y 9/64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 y 9/64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 y 9/64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y 9/64) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y 9/64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y 9/64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 y -3/8))) 1))))))

simplify128.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

557×	`associate-/r*_binary64`
547×	`fma-def_binary64`
540×	`distribute-rgt-out_binary64`
530×	`distribute-lft-out_binary64`
441×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	606
1	119	594
2	325	594
3	1163	552
4	5704	528
5	6846	528

Stop Event

1×	node limit

Counts

112 → 94

Calls

Call 1

Inputs
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))

Outputs
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(.f64 -9/64 (/.f64 (.f64 y y) x))
(/.f64 (.f64 -9/64 (.f64 y y)) x)
(.f64 -9/64 (.f64 (/.f64 y x) y))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (.f64 -9/64 (*.f64 y y)) x))
(fma.f64 -9/64 (.f64 (/.f64 y x) y) (.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(.f64 (/.f64 (.f64 y y) x) (+.f64 (*.f64 27/512 (/.f64 y x)) -9/64))
(.f64 (/.f64 (.f64 y y) x) (+.f64 -9/64 (*.f64 27/512 (/.f64 y x))))
(.f64 y (.f64 (/.f64 y x) (+.f64 -9/64 (*.f64 27/512 (/.f64 y x)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 -81/4096 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))
(fma.f64 -9/64 (.f64 (/.f64 y x) y) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 (/.f64 -81/4096 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (/.f64 (.f64 y y) x) (+.f64 (*.f64 27/512 (/.f64 y x)) -9/64)))
(.f64 (/.f64 (.f64 y y) x) (+.f64 -9/64 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) -81/4096) 27/512))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (/.f64 -81/4096 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(fma.f64 -9/64 (.f64 (/.f64 y x) y) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 (.f64 y y) x) (+.f64 (*.f64 27/512 (/.f64 y x)) -9/64))))
(fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 (.f64 y y) x) (+.f64 -9/64 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) -81/4096) 27/512)))))
(*.f64 -3/8 y)
(*.f64 y -3/8)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(fma.f64 y -3/8 x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (.f64 x x) y)))
(fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x))
(fma.f64 y -3/8 (fma.f64 -8/3 (*.f64 (/.f64 x y) x) x))
(fma.f64 (/.f64 -8/3 y) (*.f64 x x) (fma.f64 y -3/8 x))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (*.f64 x x) y))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x)))
(fma.f64 y -3/8 (fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -8/3 (.f64 (/.f64 x y) x) x)))
(+.f64 (fma.f64 y -3/8 x) (.f64 (.f64 x (/.f64 x y)) (+.f64 -8/3 (*.f64 64/9 (/.f64 x y)))))
(+.f64 (fma.f64 y -3/8 x) (.f64 x (.f64 (/.f64 x y) (+.f64 -8/3 (*.f64 64/9 (/.f64 x y))))))
(*.f64 -3/8 y)
(*.f64 y -3/8)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(fma.f64 y -3/8 x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (.f64 x x) y)))
(fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x))
(fma.f64 y -3/8 (fma.f64 -8/3 (*.f64 (/.f64 x y) x) x))
(fma.f64 (/.f64 -8/3 y) (*.f64 x x) (fma.f64 y -3/8 x))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (*.f64 x x) y))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x)))
(fma.f64 y -3/8 (fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -8/3 (.f64 (/.f64 x y) x) x)))
(+.f64 (fma.f64 y -3/8 x) (.f64 (.f64 x (/.f64 x y)) (+.f64 -8/3 (*.f64 64/9 (/.f64 x y)))))
(+.f64 (fma.f64 y -3/8 x) (.f64 x (.f64 (/.f64 x y) (+.f64 -8/3 (*.f64 64/9 (/.f64 x y))))))
(*.f64 -3/8 y)
(*.f64 y -3/8)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(fma.f64 y -3/8 x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (.f64 x x) y)))
(fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x))
(fma.f64 y -3/8 (fma.f64 -8/3 (*.f64 (/.f64 x y) x) x))
(fma.f64 (/.f64 -8/3 y) (*.f64 x x) (fma.f64 y -3/8 x))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (*.f64 x x) y))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x)))
(fma.f64 y -3/8 (fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -8/3 (.f64 (/.f64 x y) x) x)))
(+.f64 (fma.f64 y -3/8 x) (.f64 (.f64 x (/.f64 x y)) (+.f64 -8/3 (*.f64 64/9 (/.f64 x y)))))
(+.f64 (fma.f64 y -3/8 x) (.f64 x (.f64 (/.f64 x y) (+.f64 -8/3 (*.f64 64/9 (/.f64 x y))))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(.f64 -9/64 (/.f64 (.f64 y y) x))
(/.f64 (.f64 -9/64 (.f64 y y)) x)
(.f64 -9/64 (.f64 (/.f64 y x) y))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (.f64 -9/64 (*.f64 y y)) x))
(fma.f64 -9/64 (.f64 (/.f64 y x) y) (.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(.f64 (/.f64 (.f64 y y) x) (+.f64 (*.f64 27/512 (/.f64 y x)) -9/64))
(.f64 (/.f64 (.f64 y y) x) (+.f64 -9/64 (*.f64 27/512 (/.f64 y x))))
(.f64 y (.f64 (/.f64 y x) (+.f64 -9/64 (*.f64 27/512 (/.f64 y x)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 -81/4096 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))
(fma.f64 -9/64 (.f64 (/.f64 y x) y) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 (/.f64 -81/4096 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (/.f64 (.f64 y y) x) (+.f64 (*.f64 27/512 (/.f64 y x)) -9/64)))
(.f64 (/.f64 (.f64 y y) x) (+.f64 -9/64 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) -81/4096) 27/512))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (/.f64 -81/4096 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(fma.f64 -9/64 (.f64 (/.f64 y x) y) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 (.f64 y y) x) (+.f64 (*.f64 27/512 (/.f64 y x)) -9/64))))
(fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 (.f64 y y) x) (+.f64 -9/64 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) -81/4096) 27/512)))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(.f64 -9/64 (/.f64 (.f64 y y) x))
(/.f64 (.f64 -9/64 (.f64 y y)) x)
(.f64 -9/64 (.f64 (/.f64 y x) y))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (.f64 -9/64 (*.f64 y y)) x))
(fma.f64 -9/64 (.f64 (/.f64 y x) y) (.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(.f64 (/.f64 (.f64 y y) x) (+.f64 (*.f64 27/512 (/.f64 y x)) -9/64))
(.f64 (/.f64 (.f64 y y) x) (+.f64 -9/64 (*.f64 27/512 (/.f64 y x))))
(.f64 y (.f64 (/.f64 y x) (+.f64 -9/64 (*.f64 27/512 (/.f64 y x)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 -81/4096 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))
(fma.f64 -9/64 (.f64 (/.f64 y x) y) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 (/.f64 -81/4096 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (/.f64 (.f64 y y) x) (+.f64 (*.f64 27/512 (/.f64 y x)) -9/64)))
(.f64 (/.f64 (.f64 y y) x) (+.f64 -9/64 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) -81/4096) 27/512))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (/.f64 -81/4096 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(fma.f64 -9/64 (.f64 (/.f64 y x) y) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 (.f64 y y) x) (+.f64 (*.f64 27/512 (/.f64 y x)) -9/64))))
(fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 (.f64 y y) x) (+.f64 -9/64 (.f64 (/.f64 y x) (+.f64 (.f64 (/.f64 y x) -81/4096) 27/512)))))
(*.f64 9/64 (pow.f64 y 2))
(.f64 (.f64 y y) 9/64)
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 (.f64 y y) 9/64)
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 (.f64 y y) 9/64)
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 (.f64 y y) 9/64)
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 (.f64 y y) 9/64)
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 (.f64 y y) 9/64)
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 (.f64 y y) 9/64)
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 (.f64 y y) 9/64)
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 (.f64 y y) 9/64)
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 (.f64 y y) 9/64)
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 (.f64 y y) 9/64)
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 (.f64 y y) 9/64)
(.f64 y (.f64 y 9/64))

localize83.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 y -3/8) x)
✓	0.1b	(.f64 y (.f64 9/64 y))
✓	3.4b	(+.f64 (.f64 y (.f64 9/64 y)) (*.f64 x (neg.f64 x)))
✓	29.5b	(/.f64 (+.f64 (.f64 y (.f64 9/64 y)) (.f64 x (neg.f64 x))) (-.f64 (.f64 y -3/8) x))

Compiler

Compiled 54 to 28 computations (48.1% saved)

series10.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 (+.f64 (.f64 y (.f64 9/64 y)) (.f64 x (neg.f64 x))) (-.f64 (.f64 y -3/8) x))
1.0ms	y	@	inf	(/.f64 (+.f64 (.f64 y (.f64 9/64 y)) (.f64 x (neg.f64 x))) (-.f64 (.f64 y -3/8) x))
1.0ms	x	@	0	(/.f64 (+.f64 (.f64 y (.f64 9/64 y)) (.f64 x (neg.f64 x))) (-.f64 (.f64 y -3/8) x))
1.0ms	y	@	-inf	(/.f64 (+.f64 (.f64 y (.f64 9/64 y)) (.f64 x (neg.f64 x))) (-.f64 (.f64 y -3/8) x))
1.0ms	y	@	0	(+.f64 (.f64 y (.f64 9/64 y)) (*.f64 x (neg.f64 x)))

rewrite145.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`log-prod_binary64`
445×	`fma-def_binary64`
295×	`pow2_binary64`
252×	`fma-neg_binary64`
200×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	294	20
2	4454	20

Stop Event

1×	node limit

Counts

3 → 310

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 y (.f64 9/64 y)) (.f64 x (neg.f64 x))) (-.f64 (.f64 y -3/8) x))
(+.f64 (.f64 y (.f64 9/64 y)) (*.f64 x (neg.f64 x)))
(.f64 y (.f64 9/64 y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y -3/8 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y -3/8 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y -3/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y -3/8 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y -3/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y -3/8 x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y -3/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y -3/8 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 y 3) -27/512) (fma.f64 x (fma.f64 y -3/8 x) (*.f64 y (*.f64 y 9/64)))) (/.f64 (pow.f64 x 3) (fma.f64 x (fma.f64 y -3/8 x) (*.f64 y (*.f64 y 9/64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y (*.f64 y 9/64)) (fma.f64 y -3/8 x)) (/.f64 (*.f64 x x) (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 y -3/8 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y -3/8 x) 2) (/.f64 1 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -3/8 x) (*.f64 (fma.f64 y -3/8 x) (/.f64 1 (fma.f64 y -3/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -3/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -3/8 x)) (cbrt.f64 (pow.f64 (fma.f64 y -3/8 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 y -3/8 x) 2)) (cbrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 y 9/64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 9/64) y) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 9/64) y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 9/64) y) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 9/64) y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y 9/64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y 9/64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -3/8) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 y 9/64)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 y -3/8)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 y 9/64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 y 9/64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 9/64) y) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y 9/64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 y 9/64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y 9/64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y 9/64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 y -3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 y -3/8))) 1))))))

simplify120.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

612×	`fma-def_binary64`
565×	`fma-neg_binary64`
556×	`unsub-neg_binary64`
484×	`unswap-sqr_binary64`
449×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	480
1	30	462
2	56	462
3	115	462
4	301	462
5	1027	462
6	2122	462
7	4216	462
8	5736	462
9	7262	462
10	7972	462

Stop Event

1×	node limit

Counts

370 → 319

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 9/64 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 9/64 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 9/64 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))
(*.f64 9/64 (pow.f64 y 2))

Outputs
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))

eval597.0ms (8.4%)

Compiler: Compiled 25608 to 15542 computations (39.3% saved)

prune183.0ms (2.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1088	6	1094
Fresh	1	0	1
Picked	1	0	1
Done	1	4	5
Total	1091	10	1101

Error

Counts

1101 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.8b	(*.f64 -3/8 y)
▶	45.7b	(.f64 (/.f64 (.f64 y y) 1) (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)))
▶	29.9b	(.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) (*.f64 y 9/64))
	33.8b	x
▶	31.3b	(/.f64 (-.f64 (.f64 y (.f64 y 9/64)) (.f64 x x)) (-.f64 (.f64 y -3/8) x))
✓	0.1b	(+.f64 (*.f64 y -3/8) x)
▶	17.4b	(-.f64 (.f64 (.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) y) 9/64) (/.f64 (.f64 x x) (-.f64 (*.f64 y -3/8) x)))
▶	29.9b	(-.f64 (/.f64 y (/.f64 (-.f64 (.f64 y -3/8) x) (.f64 9/64 y))) (*.f64 -8/3 (/.f64 x (/.f64 y x))))
✓	0b	(fma.f64 y -3/8 x)
✓	45.5b	(/.f64 (.f64 y (.f64 y 9/64)) (-.f64 (*.f64 y -3/8) x))

Compiler

Compiled 212 to 144 computations (32.1% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) y) 9/64)
✓	0.2b	(/.f64 y (-.f64 (*.f64 y -3/8) x))
✓	0.2b	(.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) y)
	17.1b	(/.f64 (.f64 x x) (-.f64 (.f64 y -3/8) x))

Compiler

Compiled 74 to 42 computations (43.2% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 y (-.f64 (*.f64 y -3/8) x))
1.0ms	y	@	0	(.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) y)
1.0ms	y	@	inf	(.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) y)
0.0ms	x	@	-inf	(/.f64 y (-.f64 (*.f64 y -3/8) x))
0.0ms	y	@	0	(/.f64 y (-.f64 (*.f64 y -3/8) x))

rewrite81.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`prod-diff_binary64`
568×	`log-prod_binary64`
341×	`pow-prod-down_binary64`
285×	`pow2_binary64`
248×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	222	39
2	2971	39

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs
(.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) y)
(/.f64 y (-.f64 (*.f64 y -3/8) x))
(.f64 (.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) y) 9/64)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y -3/8) x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y y) (-.f64 (*.f64 y -3/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y y)) (neg.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) y) (neg.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 y)) (neg.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) 1) (-.f64 (*.f64 y -3/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -3/8) x)) 2)) (cbrt.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) (sqrt.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 y -3/8) x) (*.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x))) (cbrt.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) 2)) (cbrt.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x))) (sqrt.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 y -3/8) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -3/8) x)) -2) (/.f64 y (cbrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -3/8) x)) 2)) (cbrt.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -3/8) x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 y -3/8) x) -1/2) (/.f64 y (sqrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 (*.f64 (pow.f64 y 3) -27/512) (pow.f64 x 3))) (fma.f64 x (fma.f64 y -3/8 x) (*.f64 9/64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 (*.f64 9/64 (*.f64 y y)) (*.f64 x x))) (fma.f64 y -3/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y -3/8) x) y) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 y -3/8) x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 (*.f64 y -3/8) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 y -3/8) x) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y -3/8) x) y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 (*.f64 y -3/8) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y)) 9/64))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y))) 9/64)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y))) 9/64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y))) 9/64))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y))) 9/64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y)) 9/64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 9/64 (*.f64 y y)) (-.f64 (*.f64 y -3/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 9/64) (/.f64 (-.f64 (*.f64 y -3/8) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 y 9/64)) (-.f64 (*.f64 y -3/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (*.f64 y 9/64)) (neg.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y)) 9/64) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 y (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 4) 81/4096) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 3/8) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y)) 9/64)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 3/8) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 y (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 4) 81/4096))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y))) 9/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y)) 9/64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 3/8) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y)) 9/64)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y)) 9/64)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y)) 9/64)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) y)) 9/64)) 1))))))

simplify90.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

832×	`cancel-sign-sub-inv_binary64`
593×	`associate-/l/_binary64`
454×	`*-commutative_binary64`
412×	`fma-neg_binary64`
391×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	1563
1	269	1539
2	786	1506
3	2876	1377
4	5735	1377

Stop Event

1×	node limit

Counts

161 → 136

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) x)) (*.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) x)) (.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -8/3 y)
(+.f64 (.f64 -8/3 y) (.f64 64/9 x))
(+.f64 (.f64 -8/3 y) (+.f64 (.f64 64/9 x) (*.f64 -512/27 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 -8/3 y) (+.f64 (.f64 4096/81 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 64/9 x) (.f64 -512/27 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -8/3 y)
(+.f64 (.f64 -8/3 y) (.f64 64/9 x))
(+.f64 (.f64 -8/3 y) (+.f64 (.f64 64/9 x) (*.f64 -512/27 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 -8/3 y) (+.f64 (.f64 4096/81 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 64/9 x) (.f64 -512/27 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -8/3 y)
(+.f64 (.f64 -8/3 y) (.f64 64/9 x))
(+.f64 (.f64 -8/3 y) (+.f64 (.f64 64/9 x) (*.f64 -512/27 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 -8/3 y) (+.f64 (.f64 4096/81 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 64/9 x) (.f64 -512/27 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -1 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) x)) (*.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) x)) (.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -1 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) x)) (*.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) x)) (.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -1 (/.f64 y x))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (.f64 -1 (/.f64 y x)))))
-8/3
(-.f64 (*.f64 64/9 (/.f64 x y)) 8/3)
(-.f64 (+.f64 (.f64 64/9 (/.f64 x y)) (.f64 -512/27 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 8/3)
(-.f64 (+.f64 (.f64 64/9 (/.f64 x y)) (+.f64 (.f64 4096/81 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -512/27 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) 8/3)
-8/3
(-.f64 (*.f64 64/9 (/.f64 x y)) 8/3)
(-.f64 (+.f64 (.f64 64/9 (/.f64 x y)) (.f64 -512/27 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 8/3)
(-.f64 (+.f64 (.f64 64/9 (/.f64 x y)) (+.f64 (.f64 4096/81 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -512/27 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) 8/3)
-8/3
(-.f64 (*.f64 64/9 (/.f64 x y)) 8/3)
(-.f64 (+.f64 (.f64 64/9 (/.f64 x y)) (.f64 -512/27 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 8/3)
(-.f64 (+.f64 (.f64 64/9 (/.f64 x y)) (+.f64 (.f64 4096/81 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -512/27 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) 8/3)
(*.f64 -1 (/.f64 y x))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (.f64 -1 (/.f64 y x)))))
(*.f64 -1 (/.f64 y x))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -1 (/.f64 y x)))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (.f64 -1 (/.f64 y x)))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))

Outputs
(*.f64 -1 (/.f64 (pow.f64 y 2) x))
(neg.f64 (/.f64 (*.f64 y y) x))
(/.f64 (*.f64 (neg.f64 y) y) x)
(/.f64 (*.f64 y (neg.f64 y)) x)
(*.f64 (/.f64 y x) (neg.f64 y))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 y 2) x)))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (neg.f64 (/.f64 (.f64 y y) x)))
(-.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x))) (/.f64 y (/.f64 x y)))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (.f64 y (neg.f64 y)) x))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -1 (/.f64 (*.f64 y 3/8) x)))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) x)) (*.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1 (/.f64 (.f64 y y) x) (*.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (-.f64 (.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 y (/.f64 x y))))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -9/64 (.f64 (pow.f64 (/.f64 y x) 3) y) (/.f64 (*.f64 y (neg.f64 y)) x)))
(fma.f64 -9/64 (.f64 y (pow.f64 (/.f64 y x) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1 (/.f64 (.f64 y 3/8) x))))
(fma.f64 -9/64 (/.f64 y (pow.f64 (/.f64 x y) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1 (/.f64 (*.f64 y 3/8) x))))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) x)) (.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 27/512 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (.f64 y y) x) (*.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 27/512 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (-.f64 (.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 y (/.f64 x y)))))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 27/512 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -9/64 (.f64 (pow.f64 (/.f64 y x) 3) y) (/.f64 (*.f64 y (neg.f64 y)) x))))
(fma.f64 27/512 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -9/64 (.f64 y (pow.f64 (/.f64 y x) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1 (/.f64 (.f64 y 3/8) x)))))
(fma.f64 27/512 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -9/64 (/.f64 y (pow.f64 (/.f64 x y) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1 (/.f64 (*.f64 y 3/8) x)))))
(*.f64 -8/3 y)
(*.f64 y -8/3)
(+.f64 (.f64 -8/3 y) (.f64 64/9 x))
(fma.f64 -8/3 y (*.f64 x 64/9))
(fma.f64 y -8/3 (*.f64 x 64/9))
(+.f64 (.f64 -8/3 y) (+.f64 (.f64 64/9 x) (*.f64 -512/27 (/.f64 (pow.f64 x 2) y))))
(fma.f64 -8/3 y (fma.f64 64/9 x (.f64 -512/27 (/.f64 (.f64 x x) y))))
(fma.f64 y -8/3 (fma.f64 x 64/9 (*.f64 -512/27 (/.f64 x (/.f64 y x)))))
(fma.f64 y -8/3 (fma.f64 -512/27 (.f64 (/.f64 x y) x) (.f64 x 64/9)))
(+.f64 (.f64 -8/3 y) (+.f64 (.f64 4096/81 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 64/9 x) (.f64 -512/27 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 -8/3 y (fma.f64 4096/81 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 64/9 x (.f64 -512/27 (/.f64 (*.f64 x x) y)))))
(fma.f64 y -8/3 (fma.f64 4096/81 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 x 64/9 (.f64 -512/27 (/.f64 x (/.f64 y x))))))
(fma.f64 (/.f64 4096/81 y) (/.f64 (pow.f64 x 3) y) (fma.f64 y -8/3 (fma.f64 -512/27 (.f64 (/.f64 x y) x) (.f64 x 64/9))))
(fma.f64 y -8/3 (fma.f64 x 64/9 (.f64 (/.f64 x (/.f64 y x)) (+.f64 -512/27 (/.f64 (.f64 x 4096/81) y)))))
(*.f64 -8/3 y)
(*.f64 y -8/3)
(+.f64 (.f64 -8/3 y) (.f64 64/9 x))
(fma.f64 -8/3 y (*.f64 x 64/9))
(fma.f64 y -8/3 (*.f64 x 64/9))
(+.f64 (.f64 -8/3 y) (+.f64 (.f64 64/9 x) (*.f64 -512/27 (/.f64 (pow.f64 x 2) y))))
(fma.f64 -8/3 y (fma.f64 64/9 x (.f64 -512/27 (/.f64 (.f64 x x) y))))
(fma.f64 y -8/3 (fma.f64 x 64/9 (*.f64 -512/27 (/.f64 x (/.f64 y x)))))
(fma.f64 y -8/3 (fma.f64 -512/27 (.f64 (/.f64 x y) x) (.f64 x 64/9)))
(+.f64 (.f64 -8/3 y) (+.f64 (.f64 4096/81 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 64/9 x) (.f64 -512/27 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 -8/3 y (fma.f64 4096/81 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 64/9 x (.f64 -512/27 (/.f64 (*.f64 x x) y)))))
(fma.f64 y -8/3 (fma.f64 4096/81 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 x 64/9 (.f64 -512/27 (/.f64 x (/.f64 y x))))))
(fma.f64 (/.f64 4096/81 y) (/.f64 (pow.f64 x 3) y) (fma.f64 y -8/3 (fma.f64 -512/27 (.f64 (/.f64 x y) x) (.f64 x 64/9))))
(fma.f64 y -8/3 (fma.f64 x 64/9 (.f64 (/.f64 x (/.f64 y x)) (+.f64 -512/27 (/.f64 (.f64 x 4096/81) y)))))
(*.f64 -8/3 y)
(*.f64 y -8/3)
(+.f64 (.f64 -8/3 y) (.f64 64/9 x))
(fma.f64 -8/3 y (*.f64 x 64/9))
(fma.f64 y -8/3 (*.f64 x 64/9))
(+.f64 (.f64 -8/3 y) (+.f64 (.f64 64/9 x) (*.f64 -512/27 (/.f64 (pow.f64 x 2) y))))
(fma.f64 -8/3 y (fma.f64 64/9 x (.f64 -512/27 (/.f64 (.f64 x x) y))))
(fma.f64 y -8/3 (fma.f64 x 64/9 (*.f64 -512/27 (/.f64 x (/.f64 y x)))))
(fma.f64 y -8/3 (fma.f64 -512/27 (.f64 (/.f64 x y) x) (.f64 x 64/9)))
(+.f64 (.f64 -8/3 y) (+.f64 (.f64 4096/81 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 64/9 x) (.f64 -512/27 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 -8/3 y (fma.f64 4096/81 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 64/9 x (.f64 -512/27 (/.f64 (*.f64 x x) y)))))
(fma.f64 y -8/3 (fma.f64 4096/81 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 x 64/9 (.f64 -512/27 (/.f64 x (/.f64 y x))))))
(fma.f64 (/.f64 4096/81 y) (/.f64 (pow.f64 x 3) y) (fma.f64 y -8/3 (fma.f64 -512/27 (.f64 (/.f64 x y) x) (.f64 x 64/9))))
(fma.f64 y -8/3 (fma.f64 x 64/9 (.f64 (/.f64 x (/.f64 y x)) (+.f64 -512/27 (/.f64 (.f64 x 4096/81) y)))))
(*.f64 -1 (/.f64 (pow.f64 y 2) x))
(neg.f64 (/.f64 (*.f64 y y) x))
(/.f64 (*.f64 (neg.f64 y) y) x)
(/.f64 (*.f64 y (neg.f64 y)) x)
(*.f64 (/.f64 y x) (neg.f64 y))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 y 2) x)))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (neg.f64 (/.f64 (.f64 y y) x)))
(-.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x))) (/.f64 y (/.f64 x y)))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (.f64 y (neg.f64 y)) x))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -1 (/.f64 (*.f64 y 3/8) x)))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) x)) (*.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1 (/.f64 (.f64 y y) x) (*.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (-.f64 (.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 y (/.f64 x y))))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -9/64 (.f64 (pow.f64 (/.f64 y x) 3) y) (/.f64 (*.f64 y (neg.f64 y)) x)))
(fma.f64 -9/64 (.f64 y (pow.f64 (/.f64 y x) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1 (/.f64 (.f64 y 3/8) x))))
(fma.f64 -9/64 (/.f64 y (pow.f64 (/.f64 x y) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1 (/.f64 (*.f64 y 3/8) x))))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) x)) (.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 27/512 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (.f64 y y) x) (*.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 27/512 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (-.f64 (.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 y (/.f64 x y)))))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 27/512 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -9/64 (.f64 (pow.f64 (/.f64 y x) 3) y) (/.f64 (*.f64 y (neg.f64 y)) x))))
(fma.f64 27/512 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -9/64 (.f64 y (pow.f64 (/.f64 y x) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1 (/.f64 (.f64 y 3/8) x)))))
(fma.f64 27/512 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (fma.f64 -9/64 (/.f64 y (pow.f64 (/.f64 x y) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1 (/.f64 (*.f64 y 3/8) x)))))
(*.f64 -1 (/.f64 (pow.f64 y 2) x))
(neg.f64 (/.f64 (*.f64 y y) x))
(/.f64 (*.f64 (neg.f64 y) y) x)
(/.f64 (*.f64 y (neg.f64 y)) x)
(*.f64 (/.f64 y x) (neg.f64 y))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -1 (/.f64 (pow.f64 y 2) x)))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (neg.f64 (/.f64 (.f64 y y) x)))
(-.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x))) (/.f64 y (/.f64 x y)))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (.f64 y (neg.f64 y)) x))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -1 (/.f64 (*.f64 y 3/8) x)))
(+.f64 (.f64 3/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 y 2) x)) (*.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -1 (/.f64 (.f64 y y) x) (*.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (-.f64 (.f64 -9/64 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (/.f64 y (/.f64 x y))))
(fma.f64 3/8 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -9/64 (.f64 (pow.f64 (/.f64 y x) 3) y) (/.f64 (*.f64 y (neg.f64 y)) x)))
(fma.f64 -9/64 (.f64 y (pow.f64 (/.f64 y x) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1 (/.f64 (.f64 y 3/8) x))))
(fma.f64 -9/64 (/.f64 y (pow.f64 (/.f64 x y) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -1 (/.f64 (*.f64 y 3/8) x))))
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(*.f64 -3/8 y)
(*.f64 y -3/8)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(fma.f64 y -3/8 x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (.f64 x x) y)))
(fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x))
(fma.f64 y -3/8 (fma.f64 -8/3 (*.f64 (/.f64 x y) x) x))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (*.f64 x x) y))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x)))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (.f64 (/.f64 x y) x) x)))
(+.f64 (fma.f64 y -3/8 x) (*.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 64/9 y) x -8/3)))
(+.f64 (fma.f64 y -3/8 x) (*.f64 (/.f64 x (/.f64 y x)) (fma.f64 64/9 (/.f64 x y) -8/3)))
(*.f64 -3/8 y)
(*.f64 y -3/8)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(fma.f64 y -3/8 x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (.f64 x x) y)))
(fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x))
(fma.f64 y -3/8 (fma.f64 -8/3 (*.f64 (/.f64 x y) x) x))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (*.f64 x x) y))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x)))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (.f64 (/.f64 x y) x) x)))
(+.f64 (fma.f64 y -3/8 x) (*.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 64/9 y) x -8/3)))
(+.f64 (fma.f64 y -3/8 x) (*.f64 (/.f64 x (/.f64 y x)) (fma.f64 64/9 (/.f64 x y) -8/3)))
(*.f64 -3/8 y)
(*.f64 y -3/8)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(fma.f64 y -3/8 x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (.f64 x x) y)))
(fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x))
(fma.f64 y -3/8 (fma.f64 -8/3 (*.f64 (/.f64 x y) x) x))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (*.f64 x x) y))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x)))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (.f64 (/.f64 x y) x) x)))
(+.f64 (fma.f64 y -3/8 x) (*.f64 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 64/9 y) x -8/3)))
(+.f64 (fma.f64 y -3/8 x) (*.f64 (/.f64 x (/.f64 y x)) (fma.f64 64/9 (/.f64 x y) -8/3)))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(/.f64 (.f64 -9/64 (.f64 y y)) x)
(*.f64 (/.f64 y (/.f64 x y)) -9/64)
(.f64 (.f64 (/.f64 y x) y) -9/64)
(.f64 (.f64 y y) (/.f64 -9/64 x))
(.f64 (.f64 y (/.f64 y x)) -9/64)
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) 27/512))
(fma.f64 (/.f64 y (/.f64 x y)) -9/64 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) 27/512))
(fma.f64 (.f64 (/.f64 y x) y) -9/64 (.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) 27/512))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (/.f64 (*.f64 y 27/512) x)))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) -81/4096)))
(fma.f64 (/.f64 y (/.f64 x y)) -9/64 (fma.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) 27/512 (/.f64 -81/4096 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))
(fma.f64 (.f64 (/.f64 y x) y) -9/64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) 27/512 (.f64 (.f64 (pow.f64 (/.f64 y x) 3) y) -81/4096)))
(fma.f64 (.f64 y (pow.f64 (/.f64 y x) 3)) -81/4096 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (/.f64 (.f64 y 27/512) x))))
(fma.f64 (/.f64 y (pow.f64 (/.f64 x y) 3)) -81/4096 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (/.f64 (*.f64 y 27/512) x))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) -81/4096))))
(fma.f64 (/.f64 y (/.f64 x y)) -9/64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) 27/512 (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) -81/4096 (/.f64 (.f64 (pow.f64 y 5) 243/32768) (pow.f64 x 4)))))
(fma.f64 (.f64 (/.f64 y x) y) -9/64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) 27/512 (fma.f64 (.f64 (pow.f64 (/.f64 y x) 3) y) -81/4096 (/.f64 (.f64 (pow.f64 y 5) 243/32768) (pow.f64 x 4)))))
(+.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (/.f64 (.f64 y 27/512) x))) (fma.f64 (.f64 y (pow.f64 (/.f64 y x) 3)) -81/4096 (*.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) 243/32768)))
(+.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (/.f64 (.f64 y 27/512) x))) (fma.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) 243/32768 (.f64 (/.f64 y (pow.f64 (/.f64 x y) 3)) -81/4096)))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(/.f64 (.f64 -9/64 (.f64 y y)) x)
(*.f64 (/.f64 y (/.f64 x y)) -9/64)
(.f64 (.f64 (/.f64 y x) y) -9/64)
(.f64 (.f64 y y) (/.f64 -9/64 x))
(.f64 (.f64 y (/.f64 y x)) -9/64)
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) 27/512))
(fma.f64 (/.f64 y (/.f64 x y)) -9/64 (.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) 27/512))
(fma.f64 (.f64 (/.f64 y x) y) -9/64 (.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) 27/512))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (/.f64 (*.f64 y 27/512) x)))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) -81/4096)))
(fma.f64 (/.f64 y (/.f64 x y)) -9/64 (fma.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) 27/512 (/.f64 -81/4096 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))
(fma.f64 (.f64 (/.f64 y x) y) -9/64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) 27/512 (.f64 (.f64 (pow.f64 (/.f64 y x) 3) y) -81/4096)))
(fma.f64 (.f64 y (pow.f64 (/.f64 y x) 3)) -81/4096 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (/.f64 (.f64 y 27/512) x))))
(fma.f64 (/.f64 y (pow.f64 (/.f64 x y) 3)) -81/4096 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (/.f64 (*.f64 y 27/512) x))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) -81/4096))))
(fma.f64 (/.f64 y (/.f64 x y)) -9/64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) 27/512 (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) -81/4096 (/.f64 (.f64 (pow.f64 y 5) 243/32768) (pow.f64 x 4)))))
(fma.f64 (.f64 (/.f64 y x) y) -9/64 (fma.f64 (/.f64 (pow.f64 y 3) (.f64 x x)) 27/512 (fma.f64 (.f64 (pow.f64 (/.f64 y x) 3) y) -81/4096 (/.f64 (.f64 (pow.f64 y 5) 243/32768) (pow.f64 x 4)))))
(+.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (/.f64 (.f64 y 27/512) x))) (fma.f64 (.f64 y (pow.f64 (/.f64 y x) 3)) -81/4096 (*.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) 243/32768)))
(+.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (/.f64 (.f64 y 27/512) x))) (fma.f64 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) 243/32768 (.f64 (/.f64 y (pow.f64 (/.f64 x y) 3)) -81/4096)))

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 y -3/8) x)
	0.2b	(/.f64 y (-.f64 (*.f64 y -3/8) x))
✓	0.3b	(.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) (*.f64 y 9/64))

Compiler

Compiled 35 to 22 computations (37.1% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) (*.f64 y 9/64))
0.0ms	x	@	-inf	(.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) (*.f64 y 9/64))
0.0ms	y	@	inf	(.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) (*.f64 y 9/64))
0.0ms	x	@	inf	(.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) (*.f64 y 9/64))
0.0ms	y	@	-inf	(.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) (*.f64 y 9/64))

rewrite96.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`prod-diff_binary64`
575×	`log-prod_binary64`
287×	`pow2_binary64`
286×	`fma-def_binary64`
201×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	223	16
2	3039	16

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) (*.f64 y 9/64))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 y 9/64) (/.f64 (-.f64 (*.f64 y -3/8) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/64) (*.f64 y (/.f64 y (-.f64 (*.f64 y -3/8) x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/64) (*.f64 y (/.f64 y (-.f64 (*.f64 y -3/8) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/64) (*.f64 y (/.f64 y (-.f64 (*.f64 y -3/8) x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/64) (*.f64 y (/.f64 y (-.f64 (*.f64 y -3/8) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y 9/64) (/.f64 (-.f64 (*.f64 y -3/8) x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (-.f64 (*.f64 y -3/8) x) (*.f64 y 9/64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 9/64) (/.f64 (-.f64 (*.f64 y -3/8) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y -3/8) x) (*.f64 9/64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 9/64 (*.f64 y y)) (-.f64 (*.f64 y -3/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 9/64 (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 9/64 (*.f64 y y)) 1) (-.f64 (*.f64 y -3/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 9/64 (*.f64 y y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -3/8) x)) 2)) (cbrt.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 9/64 (*.f64 y y)) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) (sqrt.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (*.f64 y 9/64)) (neg.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y 9/64) (neg.f64 y)) (neg.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y 9/64) (/.f64 (-.f64 (*.f64 y -3/8) x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y -3/8) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y -3/8) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 y 9/64) (/.f64 (-.f64 (*.f64 y -3/8) x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y -3/8) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y -3/8) x) y) -3) (pow.f64 (*.f64 y 9/64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y 9/64) 3) (pow.f64 (/.f64 (-.f64 (*.f64 y -3/8) x) y) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 y -3/8) x) (*.f64 9/64 (*.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 y -3/8) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/64) (*.f64 y (/.f64 y (-.f64 (*.f64 y -3/8) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y 9/64) (/.f64 (-.f64 (*.f64 y -3/8) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 y -3/8) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y -3/8) x) y) -3) (pow.f64 (*.f64 y 9/64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y 9/64) 3) (pow.f64 (/.f64 (-.f64 (*.f64 y -3/8) x) y) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 y 9/64) (/.f64 (-.f64 (*.f64 y -3/8) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 y 9/64) (/.f64 (-.f64 (*.f64 y -3/8) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 y 9/64) (/.f64 (-.f64 (*.f64 y -3/8) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y 9/64) (/.f64 (-.f64 (*.f64 y -3/8) x) y))) 1))))))

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Rules

557×	`associate-/r*_binary64`
547×	`fma-def_binary64`
540×	`distribute-rgt-out_binary64`
534×	`distribute-lft-out_binary64`
425×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	522
1	116	510
2	318	510
3	1147	468
4	5632	444
5	6774	444

Stop Event

1×	node limit

Counts

56 → 48

Calls

Call 1

Inputs
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))

Outputs
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(.f64 -9/64 (/.f64 (.f64 y y) x))
(/.f64 (.f64 -9/64 (.f64 y y)) x)
(*.f64 -9/64 (/.f64 y (/.f64 x y)))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (.f64 -9/64 (*.f64 y y)) x))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x))))
(.f64 (/.f64 y (/.f64 x y)) (+.f64 (.f64 27/512 (/.f64 y x)) -9/64))
(.f64 (/.f64 y (/.f64 x y)) (+.f64 -9/64 (.f64 27/512 (/.f64 y x))))
(.f64 y (.f64 (/.f64 y x) (+.f64 -9/64 (*.f64 27/512 (/.f64 y x)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (.f64 -81/4096 (pow.f64 y 4)) (pow.f64 x 3))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 (/.f64 -81/4096 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (/.f64 y (/.f64 x y)) (+.f64 (.f64 27/512 (/.f64 y x)) -9/64)))
(.f64 (/.f64 y (/.f64 x y)) (+.f64 -9/64 (.f64 (/.f64 y x) (+.f64 27/512 (*.f64 -81/4096 (/.f64 y x))))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (/.f64 (.f64 -81/4096 (pow.f64 y 4)) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 y (/.f64 x y)) (+.f64 (.f64 27/512 (/.f64 y x)) -9/64))))
(fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 y (/.f64 x y)) (+.f64 -9/64 (.f64 (/.f64 y x) (+.f64 27/512 (*.f64 -81/4096 (/.f64 y x)))))))
(*.f64 -3/8 y)
(*.f64 y -3/8)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(fma.f64 y -3/8 x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (.f64 x x) y)))
(fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x))
(fma.f64 y -3/8 (fma.f64 -8/3 (*.f64 (/.f64 x y) x) x))
(fma.f64 y -3/8 (fma.f64 -8/3 (*.f64 x (/.f64 x y)) x))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (*.f64 x x) y))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x)))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (.f64 (/.f64 x y) x) x)))
(+.f64 (fma.f64 y -3/8 x) (.f64 (.f64 x (/.f64 x y)) (+.f64 -8/3 (*.f64 64/9 (/.f64 x y)))))
(+.f64 (fma.f64 y -3/8 x) (.f64 x (.f64 (/.f64 x y) (+.f64 -8/3 (*.f64 64/9 (/.f64 x y))))))
(*.f64 -3/8 y)
(*.f64 y -3/8)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(fma.f64 y -3/8 x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (.f64 x x) y)))
(fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x))
(fma.f64 y -3/8 (fma.f64 -8/3 (*.f64 (/.f64 x y) x) x))
(fma.f64 y -3/8 (fma.f64 -8/3 (*.f64 x (/.f64 x y)) x))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (*.f64 x x) y))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x)))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (.f64 (/.f64 x y) x) x)))
(+.f64 (fma.f64 y -3/8 x) (.f64 (.f64 x (/.f64 x y)) (+.f64 -8/3 (*.f64 64/9 (/.f64 x y)))))
(+.f64 (fma.f64 y -3/8 x) (.f64 x (.f64 (/.f64 x y) (+.f64 -8/3 (*.f64 64/9 (/.f64 x y))))))
(*.f64 -3/8 y)
(*.f64 y -3/8)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(fma.f64 y -3/8 x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (.f64 x x) y)))
(fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x))
(fma.f64 y -3/8 (fma.f64 -8/3 (*.f64 (/.f64 x y) x) x))
(fma.f64 y -3/8 (fma.f64 -8/3 (*.f64 x (/.f64 x y)) x))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (*.f64 x x) y))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x)))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (.f64 (/.f64 x y) x) x)))
(+.f64 (fma.f64 y -3/8 x) (.f64 (.f64 x (/.f64 x y)) (+.f64 -8/3 (*.f64 64/9 (/.f64 x y)))))
(+.f64 (fma.f64 y -3/8 x) (.f64 x (.f64 (/.f64 x y) (+.f64 -8/3 (*.f64 64/9 (/.f64 x y))))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(.f64 -9/64 (/.f64 (.f64 y y) x))
(/.f64 (.f64 -9/64 (.f64 y y)) x)
(*.f64 -9/64 (/.f64 y (/.f64 x y)))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (.f64 -9/64 (*.f64 y y)) x))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x))))
(.f64 (/.f64 y (/.f64 x y)) (+.f64 (.f64 27/512 (/.f64 y x)) -9/64))
(.f64 (/.f64 y (/.f64 x y)) (+.f64 -9/64 (.f64 27/512 (/.f64 y x))))
(.f64 y (.f64 (/.f64 y x) (+.f64 -9/64 (*.f64 27/512 (/.f64 y x)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (.f64 -81/4096 (pow.f64 y 4)) (pow.f64 x 3))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 (/.f64 -81/4096 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (/.f64 y (/.f64 x y)) (+.f64 (.f64 27/512 (/.f64 y x)) -9/64)))
(.f64 (/.f64 y (/.f64 x y)) (+.f64 -9/64 (.f64 (/.f64 y x) (+.f64 27/512 (*.f64 -81/4096 (/.f64 y x))))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (/.f64 (.f64 -81/4096 (pow.f64 y 4)) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 y (/.f64 x y)) (+.f64 (.f64 27/512 (/.f64 y x)) -9/64))))
(fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 y (/.f64 x y)) (+.f64 -9/64 (.f64 (/.f64 y x) (+.f64 27/512 (*.f64 -81/4096 (/.f64 y x)))))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(.f64 -9/64 (/.f64 (.f64 y y) x))
(/.f64 (.f64 -9/64 (.f64 y y)) x)
(*.f64 -9/64 (/.f64 y (/.f64 x y)))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (.f64 27/512 (/.f64 (pow.f64 y 3) (*.f64 x x))))
(fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (.f64 -9/64 (*.f64 y y)) x))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x))))
(.f64 (/.f64 y (/.f64 x y)) (+.f64 (.f64 27/512 (/.f64 y x)) -9/64))
(.f64 (/.f64 y (/.f64 x y)) (+.f64 -9/64 (.f64 27/512 (/.f64 y x))))
(.f64 y (.f64 (/.f64 y x) (+.f64 -9/64 (*.f64 27/512 (/.f64 y x)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (/.f64 (.f64 -81/4096 (pow.f64 y 4)) (pow.f64 x 3))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 (/.f64 -81/4096 (pow.f64 x 3)) (pow.f64 y 4) (.f64 (/.f64 y (/.f64 x y)) (+.f64 (.f64 27/512 (/.f64 y x)) -9/64)))
(.f64 (/.f64 y (/.f64 x y)) (+.f64 -9/64 (.f64 (/.f64 y x) (+.f64 27/512 (*.f64 -81/4096 (/.f64 y x))))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (/.f64 (.f64 -81/4096 (pow.f64 y 4)) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 y (/.f64 x y)) (+.f64 (.f64 27/512 (/.f64 y x)) -9/64))))
(fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (.f64 (/.f64 y (/.f64 x y)) (+.f64 -9/64 (.f64 (/.f64 y x) (+.f64 27/512 (*.f64 -81/4096 (/.f64 y x)))))))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 y -3/8) x)
✓	0.2b	(/.f64 9/64 (-.f64 (*.f64 y -3/8) x))
✓	19.6b	(.f64 (/.f64 (.f64 y y) 1) (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)))

Compiler

Compiled 43 to 26 computations (39.5% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 9/64 (-.f64 (*.f64 y -3/8) x))
0.0ms	y	@	0	(.f64 (/.f64 (.f64 y y) 1) (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)))
0.0ms	y	@	inf	(/.f64 9/64 (-.f64 (*.f64 y -3/8) x))
0.0ms	x	@	0	(/.f64 9/64 (-.f64 (*.f64 y -3/8) x))
0.0ms	x	@	inf	(/.f64 9/64 (-.f64 (*.f64 y -3/8) x))

rewrite75.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`prod-diff_binary64`
529×	`log-prod_binary64`
291×	`pow2_binary64`
255×	`fma-def_binary64`
201×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	269	26
2	3230	26

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 y y) 1) (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)))
(/.f64 9/64 (-.f64 (*.f64 y -3/8) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))) (*.f64 y y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))) (*.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (pow.f64 y -1) (*.f64 (-.f64 (*.f64 y -3/8) x) 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) 64/9) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 y -3/8) x) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y y) (*.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) 64/9) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (pow.f64 y -2) (*.f64 (-.f64 (*.f64 y -3/8) x) 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) 64/9) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (*.f64 y (/.f64 3/8 (sqrt.f64 (-.f64 (*.f64 y -3/8) x)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y -3/8) x) (/.f64 9/64 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 9/64 (*.f64 (-.f64 (*.f64 y -3/8) x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 9/64 (pow.f64 y -2)) (-.f64 (*.f64 y -3/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x))) 2)) (/.f64 1 (cbrt.f64 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 3/8 (sqrt.f64 (-.f64 (*.f64 y -3/8) x)))) (/.f64 1 (*.f64 y (/.f64 3/8 (sqrt.f64 (-.f64 (*.f64 y -3/8) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 y)) (*.f64 -1 (*.f64 (-.f64 (*.f64 y -3/8) x) 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 y)) (*.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) 64/9) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -9/64 (*.f64 (pow.f64 y -2) (neg.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -9/64 (*.f64 (neg.f64 (-.f64 (*.f64 y -3/8) x)) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 9/64 (pow.f64 y -2))) (neg.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 9/64) (*.f64 (pow.f64 y -1) (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (neg.f64 y)) 9/64) (neg.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -9/64) (*.f64 (pow.f64 y -1) (neg.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y y) -9/64) (neg.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (neg.f64 y)) -9/64) (*.f64 -1 (neg.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 9/64 y) (*.f64 (-.f64 (*.f64 y -3/8) x) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -9/64 y) (*.f64 (neg.f64 (-.f64 (*.f64 y -3/8) x)) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -9/64 (*.f64 y y)) (neg.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -9/64 (*.f64 y y)) (*.f64 (neg.f64 (-.f64 (*.f64 y -3/8) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 9/64 (*.f64 y (neg.f64 y))) (*.f64 (-.f64 (*.f64 y -3/8) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -9/64 (*.f64 y (neg.f64 y))) (*.f64 (neg.f64 (-.f64 (*.f64 y -3/8) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 9/64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -3/8) x)) 2)) (cbrt.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 9/64 (pow.f64 y -2)) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) (sqrt.f64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (neg.f64 y)) (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)) y) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)) (*.f64 y (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 3/8 (sqrt.f64 (-.f64 (*.f64 y -3/8) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 6) (pow.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)) 3) (pow.f64 y 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y -2) (*.f64 (-.f64 (*.f64 y -3/8) x) 64/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) 64/9) (pow.f64 y -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 3/8 (sqrt.f64 (-.f64 (*.f64 y -3/8) x)))) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 y -3/8) x) (/.f64 9/64 (pow.f64 y -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 6) (pow.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)) 3) (pow.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 9/64 (*.f64 (pow.f64 y -2) (-.f64 (*.f64 y -3/8) x)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9/64 (/.f64 1 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))) (pow.f64 (cbrt.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))) 2) (cbrt.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/8 (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) (/.f64 3/8 (sqrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/64 (/.f64 1 (neg.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 y -3/8) x)) 9/64)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 9/64 (-.f64 (*.f64 (pow.f64 y 3) -27/512) (pow.f64 x 3))) (fma.f64 x (fma.f64 y -3/8 x) (/.f64 9/64 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 9/64 (-.f64 (/.f64 9/64 (pow.f64 y -2)) (*.f64 x x))) (fma.f64 y -3/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 81/4096 (pow.f64 (-.f64 (*.f64 y -3/8) x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/8 (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) 64/9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (-.f64 (*.f64 y -3/8) x) 64/9) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 81/4096 (pow.f64 (-.f64 (*.f64 y -3/8) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 9/64 (-.f64 (*.f64 y -3/8) x))) 1))))))

simplify81.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

721×	`associate-r_binary64`
610×	`associate-l_binary64`
603×	`associate-/r/_binary64`
442×	`distribute-rgt-neg-in_binary64`
433×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	1053
1	203	1017
2	573	1011
3	2157	954
4	6947	954

Stop Event

1×	node limit

Counts

140 → 122

Calls

Call 1

Inputs
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(/.f64 -9/64 x)
(-.f64 (.f64 27/512 (/.f64 y (pow.f64 x 2))) (.f64 9/64 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -81/4096 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 27/512 (/.f64 y (pow.f64 x 2)))) (*.f64 9/64 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 -81/4096 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 27/512 (/.f64 y (pow.f64 x 2))))) (.f64 9/64 (/.f64 1 x)))
(/.f64 -3/8 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (*.f64 3/8 (/.f64 1 y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (.f64 -8/3 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (.f64 3/8 (/.f64 1 y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (.f64 -8/3 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (*.f64 3/8 (/.f64 1 y)))
(/.f64 -3/8 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (*.f64 3/8 (/.f64 1 y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (.f64 -8/3 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (.f64 3/8 (/.f64 1 y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (.f64 -8/3 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (*.f64 3/8 (/.f64 1 y)))
(/.f64 -3/8 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (*.f64 3/8 (/.f64 1 y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (.f64 -8/3 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (.f64 3/8 (/.f64 1 y)))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (.f64 -8/3 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (*.f64 3/8 (/.f64 1 y)))
(/.f64 -9/64 x)
(-.f64 (.f64 27/512 (/.f64 y (pow.f64 x 2))) (.f64 9/64 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -81/4096 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 27/512 (/.f64 y (pow.f64 x 2)))) (*.f64 9/64 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 -81/4096 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 27/512 (/.f64 y (pow.f64 x 2))))) (.f64 9/64 (/.f64 1 x)))
(/.f64 -9/64 x)
(-.f64 (.f64 27/512 (/.f64 y (pow.f64 x 2))) (.f64 9/64 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -81/4096 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 27/512 (/.f64 y (pow.f64 x 2)))) (*.f64 9/64 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 -81/4096 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 27/512 (/.f64 y (pow.f64 x 2))))) (.f64 9/64 (/.f64 1 x)))

Outputs
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(.f64 -9/64 (/.f64 (.f64 y y) x))
(*.f64 -9/64 (/.f64 y (/.f64 x y)))
(.f64 -9/64 (.f64 y (/.f64 y x)))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (/.f64 (.f64 27/512 (pow.f64 y 3)) (*.f64 x x)))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (.f64 (/.f64 27/512 x) (/.f64 (pow.f64 y 3) x)))
(fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -9/64 (/.f64 y (/.f64 x y))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (*.f64 y (/.f64 27/512 x))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 (/.f64 27/512 x) (/.f64 (pow.f64 y 3) x))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 (/.f64 -81/4096 (pow.f64 x 3)) (pow.f64 y 4))))
(fma.f64 -81/4096 (.f64 y (pow.f64 (/.f64 y x) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (.f64 y (/.f64 27/512 x)))))
(fma.f64 -81/4096 (/.f64 y (pow.f64 (/.f64 x y) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (*.f64 y (/.f64 27/512 x)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(+.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (.f64 y (/.f64 27/512 x)))) (fma.f64 -81/4096 (.f64 y (pow.f64 (/.f64 y x) 3)) (*.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)))))
(+.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (.f64 y (/.f64 27/512 x)))) (fma.f64 -81/4096 (/.f64 y (pow.f64 (/.f64 x y) 3)) (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)))))
(*.f64 -3/8 y)
(*.f64 y -3/8)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(fma.f64 y -3/8 x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (.f64 x x) y)))
(fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x))
(fma.f64 y -3/8 (fma.f64 -8/3 (*.f64 (/.f64 x y) x) x))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (*.f64 x x) y))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x)))
(fma.f64 y -3/8 (fma.f64 (/.f64 64/9 y) (/.f64 (pow.f64 x 3) y) (fma.f64 -8/3 (*.f64 (/.f64 x y) x) x)))
(+.f64 (fma.f64 y -3/8 x) (.f64 (/.f64 x (/.f64 y x)) (+.f64 -8/3 (/.f64 (.f64 x 64/9) y))))
(*.f64 -3/8 y)
(*.f64 y -3/8)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(fma.f64 y -3/8 x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (.f64 x x) y)))
(fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x))
(fma.f64 y -3/8 (fma.f64 -8/3 (*.f64 (/.f64 x y) x) x))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (*.f64 x x) y))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x)))
(fma.f64 y -3/8 (fma.f64 (/.f64 64/9 y) (/.f64 (pow.f64 x 3) y) (fma.f64 -8/3 (*.f64 (/.f64 x y) x) x)))
(+.f64 (fma.f64 y -3/8 x) (.f64 (/.f64 x (/.f64 y x)) (+.f64 -8/3 (/.f64 (.f64 x 64/9) y))))
(*.f64 -3/8 y)
(*.f64 y -3/8)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(fma.f64 y -3/8 x)
(+.f64 (.f64 -3/8 y) (+.f64 x (.f64 -8/3 (/.f64 (pow.f64 x 2) y))))
(+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (.f64 x x) y)))
(fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x))
(fma.f64 y -3/8 (fma.f64 -8/3 (*.f64 (/.f64 x y) x) x))
(+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 -3/8 y) (+.f64 x (*.f64 -8/3 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (.f64 y y)) (+.f64 (fma.f64 -3/8 y x) (.f64 -8/3 (/.f64 (*.f64 x x) y))))
(fma.f64 64/9 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 y -3/8 (fma.f64 -8/3 (/.f64 x (/.f64 y x)) x)))
(fma.f64 y -3/8 (fma.f64 (/.f64 64/9 y) (/.f64 (pow.f64 x 3) y) (fma.f64 -8/3 (*.f64 (/.f64 x y) x) x)))
(+.f64 (fma.f64 y -3/8 x) (.f64 (/.f64 x (/.f64 y x)) (+.f64 -8/3 (/.f64 (.f64 x 64/9) y))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(.f64 -9/64 (/.f64 (.f64 y y) x))
(*.f64 -9/64 (/.f64 y (/.f64 x y)))
(.f64 -9/64 (.f64 y (/.f64 y x)))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (/.f64 (.f64 27/512 (pow.f64 y 3)) (*.f64 x x)))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (.f64 (/.f64 27/512 x) (/.f64 (pow.f64 y 3) x)))
(fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -9/64 (/.f64 y (/.f64 x y))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (*.f64 y (/.f64 27/512 x))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 (/.f64 27/512 x) (/.f64 (pow.f64 y 3) x))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 (/.f64 -81/4096 (pow.f64 x 3)) (pow.f64 y 4))))
(fma.f64 -81/4096 (.f64 y (pow.f64 (/.f64 y x) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (.f64 y (/.f64 27/512 x)))))
(fma.f64 -81/4096 (/.f64 y (pow.f64 (/.f64 x y) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (*.f64 y (/.f64 27/512 x)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(+.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (.f64 y (/.f64 27/512 x)))) (fma.f64 -81/4096 (.f64 y (pow.f64 (/.f64 y x) 3)) (*.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)))))
(+.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (.f64 y (/.f64 27/512 x)))) (fma.f64 -81/4096 (/.f64 y (pow.f64 (/.f64 x y) 3)) (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)))))
(*.f64 -9/64 (/.f64 (pow.f64 y 2) x))
(.f64 -9/64 (/.f64 (.f64 y y) x))
(*.f64 -9/64 (/.f64 y (/.f64 x y)))
(.f64 -9/64 (.f64 y (/.f64 y x)))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (/.f64 (.f64 27/512 (pow.f64 y 3)) (*.f64 x x)))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (.f64 (/.f64 27/512 x) (/.f64 (pow.f64 y 3) x)))
(fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 -9/64 (/.f64 y (/.f64 x y))))
(.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (*.f64 y (/.f64 27/512 x))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 (/.f64 27/512 x) (/.f64 (pow.f64 y 3) x))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (.f64 (/.f64 -81/4096 (pow.f64 x 3)) (pow.f64 y 4))))
(fma.f64 -81/4096 (.f64 y (pow.f64 (/.f64 y x) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (.f64 y (/.f64 27/512 x)))))
(fma.f64 -81/4096 (/.f64 y (pow.f64 (/.f64 x y) 3)) (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (*.f64 y (/.f64 27/512 x)))))
(+.f64 (.f64 -9/64 (/.f64 (pow.f64 y 2) x)) (+.f64 (.f64 27/512 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))) (.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)) (*.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3))))))
(fma.f64 -9/64 (/.f64 (.f64 y y) x) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (*.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(fma.f64 -9/64 (/.f64 y (/.f64 x y)) (fma.f64 27/512 (/.f64 (pow.f64 y 3) (.f64 x x)) (fma.f64 -81/4096 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(+.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (.f64 y (/.f64 27/512 x)))) (fma.f64 -81/4096 (.f64 y (pow.f64 (/.f64 y x) 3)) (*.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)))))
(+.f64 (.f64 (.f64 y (/.f64 y x)) (+.f64 -9/64 (.f64 y (/.f64 27/512 x)))) (fma.f64 -81/4096 (/.f64 y (pow.f64 (/.f64 x y) 3)) (.f64 243/32768 (/.f64 (pow.f64 y 5) (pow.f64 x 4)))))
(/.f64 -9/64 x)
(-.f64 (.f64 27/512 (/.f64 y (pow.f64 x 2))) (.f64 9/64 (/.f64 1 x)))
(-.f64 (/.f64 (.f64 27/512 y) (.f64 x x)) (/.f64 9/64 x))
(fma.f64 27/512 (/.f64 y (*.f64 x x)) (/.f64 -9/64 x))
(fma.f64 (/.f64 27/512 x) (/.f64 y x) (/.f64 -9/64 x))
(fma.f64 (/.f64 y x) (/.f64 27/512 x) (/.f64 -9/64 x))
(-.f64 (+.f64 (.f64 -81/4096 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 27/512 (/.f64 y (pow.f64 x 2)))) (*.f64 9/64 (/.f64 1 x)))
(-.f64 (fma.f64 -81/4096 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 (.f64 27/512 y) (*.f64 x x))) (/.f64 9/64 x))
(fma.f64 -81/4096 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 27/512 (/.f64 y (*.f64 x x)) (/.f64 -9/64 x)))
(fma.f64 27/512 (/.f64 y (.f64 x x)) (fma.f64 -81/4096 (.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 -9/64 x)))
(+.f64 (.f64 (/.f64 y (.f64 x x)) (+.f64 27/512 (/.f64 (*.f64 y -81/4096) x))) (/.f64 -9/64 x))
(-.f64 (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 -81/4096 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 27/512 (/.f64 y (pow.f64 x 2))))) (.f64 9/64 (/.f64 1 x)))
(-.f64 (fma.f64 243/32768 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 -81/4096 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 (.f64 27/512 y) (*.f64 x x)))) (/.f64 9/64 x))
(fma.f64 243/32768 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 -81/4096 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 27/512 (/.f64 y (*.f64 x x)) (/.f64 -9/64 x))))
(fma.f64 243/32768 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 27/512 (/.f64 y (.f64 x x)) (fma.f64 -81/4096 (.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 -9/64 x))))
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(/.f64 -3/8 y)
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(+.f64 (/.f64 x (.f64 y y)) (fma.f64 -8/3 (/.f64 (.f64 x x) (pow.f64 y 3)) (/.f64 -3/8 y)))
(+.f64 (.f64 (+.f64 (/.f64 (.f64 x -8/3) y) 1) (/.f64 x (*.f64 y y))) (/.f64 -3/8 y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (.f64 -8/3 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (*.f64 3/8 (/.f64 1 y)))
(+.f64 (/.f64 x (.f64 y y)) (-.f64 (fma.f64 -8/3 (/.f64 (.f64 x x) (pow.f64 y 3)) (*.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) (/.f64 3/8 y)))
(+.f64 (/.f64 x (.f64 y y)) (+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (fma.f64 -8/3 (/.f64 x (/.f64 (pow.f64 y 3) x)) (/.f64 -3/8 y))))
(+.f64 (/.f64 x (.f64 y y)) (fma.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (fma.f64 -8/3 (/.f64 (.f64 x x) (pow.f64 y 3)) (/.f64 -3/8 y))))
(+.f64 (.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 -8/3 (/.f64 (.f64 x 64/9) y))) (+.f64 (/.f64 x (.f64 y y)) (/.f64 -3/8 y)))
(/.f64 -3/8 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (*.f64 3/8 (/.f64 1 y)))
(-.f64 (/.f64 x (*.f64 y y)) (/.f64 3/8 y))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 -3/8 y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (.f64 -8/3 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (.f64 3/8 (/.f64 1 y)))
(+.f64 (/.f64 x (.f64 y y)) (-.f64 (.f64 -8/3 (/.f64 (*.f64 x x) (pow.f64 y 3))) (/.f64 3/8 y)))
(+.f64 (/.f64 x (*.f64 y y)) (fma.f64 -8/3 (/.f64 x (/.f64 (pow.f64 y 3) x)) (/.f64 -3/8 y)))
(+.f64 (/.f64 x (.f64 y y)) (fma.f64 -8/3 (/.f64 (.f64 x x) (pow.f64 y 3)) (/.f64 -3/8 y)))
(+.f64 (.f64 (+.f64 (/.f64 (.f64 x -8/3) y) 1) (/.f64 x (*.f64 y y))) (/.f64 -3/8 y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (.f64 -8/3 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (*.f64 3/8 (/.f64 1 y)))
(+.f64 (/.f64 x (.f64 y y)) (-.f64 (fma.f64 -8/3 (/.f64 (.f64 x x) (pow.f64 y 3)) (*.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) (/.f64 3/8 y)))
(+.f64 (/.f64 x (.f64 y y)) (+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (fma.f64 -8/3 (/.f64 x (/.f64 (pow.f64 y 3) x)) (/.f64 -3/8 y))))
(+.f64 (/.f64 x (.f64 y y)) (fma.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (fma.f64 -8/3 (/.f64 (.f64 x x) (pow.f64 y 3)) (/.f64 -3/8 y))))
(+.f64 (.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 -8/3 (/.f64 (.f64 x 64/9) y))) (+.f64 (/.f64 x (.f64 y y)) (/.f64 -3/8 y)))
(/.f64 -3/8 y)
(-.f64 (/.f64 x (pow.f64 y 2)) (*.f64 3/8 (/.f64 1 y)))
(-.f64 (/.f64 x (*.f64 y y)) (/.f64 3/8 y))
(+.f64 (/.f64 x (*.f64 y y)) (/.f64 -3/8 y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (.f64 -8/3 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))) (.f64 3/8 (/.f64 1 y)))
(+.f64 (/.f64 x (.f64 y y)) (-.f64 (.f64 -8/3 (/.f64 (*.f64 x x) (pow.f64 y 3))) (/.f64 3/8 y)))
(+.f64 (/.f64 x (*.f64 y y)) (fma.f64 -8/3 (/.f64 x (/.f64 (pow.f64 y 3) x)) (/.f64 -3/8 y)))
(+.f64 (/.f64 x (.f64 y y)) (fma.f64 -8/3 (/.f64 (.f64 x x) (pow.f64 y 3)) (/.f64 -3/8 y)))
(+.f64 (.f64 (+.f64 (/.f64 (.f64 x -8/3) y) 1) (/.f64 x (*.f64 y y))) (/.f64 -3/8 y))
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (.f64 -8/3 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (*.f64 3/8 (/.f64 1 y)))
(+.f64 (/.f64 x (.f64 y y)) (-.f64 (fma.f64 -8/3 (/.f64 (.f64 x x) (pow.f64 y 3)) (*.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) (/.f64 3/8 y)))
(+.f64 (/.f64 x (.f64 y y)) (+.f64 (.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (fma.f64 -8/3 (/.f64 x (/.f64 (pow.f64 y 3) x)) (/.f64 -3/8 y))))
(+.f64 (/.f64 x (.f64 y y)) (fma.f64 64/9 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (fma.f64 -8/3 (/.f64 (.f64 x x) (pow.f64 y 3)) (/.f64 -3/8 y))))
(+.f64 (.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (+.f64 -8/3 (/.f64 (.f64 x 64/9) y))) (+.f64 (/.f64 x (.f64 y y)) (/.f64 -3/8 y)))
(/.f64 -9/64 x)
(-.f64 (.f64 27/512 (/.f64 y (pow.f64 x 2))) (.f64 9/64 (/.f64 1 x)))
(-.f64 (/.f64 (.f64 27/512 y) (.f64 x x)) (/.f64 9/64 x))
(fma.f64 27/512 (/.f64 y (*.f64 x x)) (/.f64 -9/64 x))
(fma.f64 (/.f64 27/512 x) (/.f64 y x) (/.f64 -9/64 x))
(fma.f64 (/.f64 y x) (/.f64 27/512 x) (/.f64 -9/64 x))
(-.f64 (+.f64 (.f64 -81/4096 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 27/512 (/.f64 y (pow.f64 x 2)))) (*.f64 9/64 (/.f64 1 x)))
(-.f64 (fma.f64 -81/4096 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 (.f64 27/512 y) (*.f64 x x))) (/.f64 9/64 x))
(fma.f64 -81/4096 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 27/512 (/.f64 y (*.f64 x x)) (/.f64 -9/64 x)))
(fma.f64 27/512 (/.f64 y (.f64 x x)) (fma.f64 -81/4096 (.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 -9/64 x)))
(+.f64 (.f64 (/.f64 y (.f64 x x)) (+.f64 27/512 (/.f64 (*.f64 y -81/4096) x))) (/.f64 -9/64 x))
(-.f64 (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 -81/4096 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 27/512 (/.f64 y (pow.f64 x 2))))) (.f64 9/64 (/.f64 1 x)))
(-.f64 (fma.f64 243/32768 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 -81/4096 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 (.f64 27/512 y) (*.f64 x x)))) (/.f64 9/64 x))
(fma.f64 243/32768 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 -81/4096 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 27/512 (/.f64 y (*.f64 x x)) (/.f64 -9/64 x))))
(fma.f64 243/32768 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 27/512 (/.f64 y (.f64 x x)) (fma.f64 -81/4096 (.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 -9/64 x))))
(+.f64 (fma.f64 (/.f64 y x) (/.f64 27/512 x) (/.f64 -9/64 x)) (.f64 (.f64 y (/.f64 y (pow.f64 x 3))) (+.f64 -81/4096 (/.f64 (*.f64 y 243/32768) x))))
(/.f64 -9/64 x)
(-.f64 (.f64 27/512 (/.f64 y (pow.f64 x 2))) (.f64 9/64 (/.f64 1 x)))
(-.f64 (/.f64 (.f64 27/512 y) (.f64 x x)) (/.f64 9/64 x))
(fma.f64 27/512 (/.f64 y (*.f64 x x)) (/.f64 -9/64 x))
(fma.f64 (/.f64 27/512 x) (/.f64 y x) (/.f64 -9/64 x))
(fma.f64 (/.f64 y x) (/.f64 27/512 x) (/.f64 -9/64 x))
(-.f64 (+.f64 (.f64 -81/4096 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 27/512 (/.f64 y (pow.f64 x 2)))) (*.f64 9/64 (/.f64 1 x)))
(-.f64 (fma.f64 -81/4096 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 (.f64 27/512 y) (*.f64 x x))) (/.f64 9/64 x))
(fma.f64 -81/4096 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 27/512 (/.f64 y (*.f64 x x)) (/.f64 -9/64 x)))
(fma.f64 27/512 (/.f64 y (.f64 x x)) (fma.f64 -81/4096 (.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 -9/64 x)))
(+.f64 (.f64 (/.f64 y (.f64 x x)) (+.f64 27/512 (/.f64 (*.f64 y -81/4096) x))) (/.f64 -9/64 x))
(-.f64 (+.f64 (.f64 243/32768 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 -81/4096 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 27/512 (/.f64 y (pow.f64 x 2))))) (.f64 9/64 (/.f64 1 x)))
(-.f64 (fma.f64 243/32768 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 -81/4096 (/.f64 (.f64 y y) (pow.f64 x 3)) (/.f64 (.f64 27/512 y) (*.f64 x x)))) (/.f64 9/64 x))
(fma.f64 243/32768 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 -81/4096 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 27/512 (/.f64 y (*.f64 x x)) (/.f64 -9/64 x))))
(fma.f64 243/32768 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 27/512 (/.f64 y (.f64 x x)) (fma.f64 -81/4096 (.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 -9/64 x))))
(+.f64 (fma.f64 (/.f64 y x) (/.f64 27/512 x) (/.f64 -9/64 x)) (.f64 (.f64 y (/.f64 y (pow.f64 x 3))) (+.f64 -81/4096 (/.f64 (*.f64 y 243/32768) x))))

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 y -3/8) x)
	0.1b	(.f64 y (.f64 y 9/64))
✓	3.4b	(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
✓	29.5b	(/.f64 (-.f64 (.f64 y (.f64 y 9/64)) (.f64 x x)) (-.f64 (.f64 y -3/8) x))

Compiler

Compiled 49 to 27 computations (44.9% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 (-.f64 (.f64 y (.f64 y 9/64)) (.f64 x x)) (-.f64 (.f64 y -3/8) x))
0.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 y (.f64 y 9/64)) (.f64 x x)) (-.f64 (.f64 y -3/8) x))
0.0ms	y	@	inf	(/.f64 (-.f64 (.f64 y (.f64 y 9/64)) (.f64 x x)) (-.f64 (.f64 y -3/8) x))
0.0ms	y	@	-inf	(/.f64 (-.f64 (.f64 y (.f64 y 9/64)) (.f64 x x)) (-.f64 (.f64 y -3/8) x))
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 y (.f64 y 9/64)) (.f64 x x)) (-.f64 (.f64 y -3/8) x))

rewrite153.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`fma-def_binary64`
702×	`log-prod_binary64`
394×	`fma-neg_binary64`
235×	`expm1-udef_binary64`
235×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	280	18
2	4172	18

Stop Event

1×	node limit

Counts

2 → 307

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 y (.f64 y 9/64)) (.f64 x x)) (-.f64 (.f64 y -3/8) x))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -3/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y (*.f64 y 9/64)) (-.f64 (*.f64 y -3/8) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y -3/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y -3/8 x))) (cbrt.f64 (exp.f64 (fma.f64 y -3/8 x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y -3/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y -3/8 x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y -3/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 y (*.f64 y 9/64)) (-.f64 (*.f64 y -3/8) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y -3/8 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (*.f64 y 9/64) (*.f64 x (neg.f64 x))) (/.f64 1 (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -3/8 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -3/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 y (*.f64 y 9/64) (*.f64 x (neg.f64 x))) 2)) (*.f64 (cbrt.f64 (fma.f64 y (*.f64 y 9/64) (*.f64 x (neg.f64 x)))) (/.f64 1 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -3/8 x)) (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -3/8 x)) 2) (cbrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 y -3/8) (sqrt.f64 (*.f64 x (neg.f64 x)))) (*.f64 (hypot.f64 (*.f64 y -3/8) (sqrt.f64 (*.f64 x (neg.f64 x)))) (/.f64 1 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y -3/8 x)) (sqrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 y (*.f64 y 9/64) (*.f64 x (neg.f64 x)))) (/.f64 1 (neg.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 y -3/8) x)) (fma.f64 y (*.f64 y 9/64) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (*.f64 y -3/8) x) 2))) (/.f64 (fma.f64 y (*.f64 y 9/64) (*.f64 x (neg.f64 x))) (cbrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) (/.f64 (fma.f64 y (*.f64 y 9/64) (*.f64 x (neg.f64 x))) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y (*.f64 y 9/64) (*.f64 x (neg.f64 x))) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 y 9/64) (*.f64 x (neg.f64 x)))) (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (*.f64 y -3/8) (sqrt.f64 (*.f64 x (neg.f64 x)))) 1) (/.f64 (hypot.f64 (*.f64 y -3/8) (sqrt.f64 (*.f64 x (neg.f64 x)))) (-.f64 (*.f64 y -3/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y (*.f64 y 9/64) (*.f64 x (neg.f64 x))) 2)) (cbrt.f64 (pow.f64 (-.f64 (*.f64 y -3/8) x) 2))) (cbrt.f64 (fma.f64 y -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (*.f64 y -3/8) (sqrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 y -3/8) x) 2))) (/.f64 (hypot.f64 (*.f64 y -3/8) (sqrt.f64 (*.f64 x (neg.f64 x)))) (cbrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y (*.f64 y 9/64) (*.f64 x (neg.f64 x))) 2)) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))) (/.f64 (cbrt.f64 (fma.f64 y (*.f64 y 9/64) (*.f64 x (neg.f64 x)))) (sqrt.f64 (-.f64 (*.f64 y -3/8) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y (*.f64 y 9/64) (*.f64 x (neg.f64 x))) 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y 9/64))) (sqrt.f64 (*.f64 y 9/64)) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 9/64) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 9/64) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 9/64) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 9/64) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 9/64) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 9/64) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 9/64) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 9/64) (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y (*.f64 y 9/64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (*.f64 y 9/64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -3/8) y) -3/8 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -3/8) y) -3/8 (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -3/8) y) -3/8 (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -3/8) y) -3/8 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -3/8) -3/8) y (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -3/8) -3/8) y (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -3/8) -3/8) y (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -3/8) -3/8) y (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -3/8) (pow.f64 (cbrt.f64 (*.f64 y -3/8)) 2)) (cbrt.f64 (*.f64 y -3/8)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -3/8) (pow.f64 (cbrt.f64 (*.f64 y -3/8)) 2)) (cbrt.f64 (*.f64 y -3/8)) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -3/8) (pow.f64 (cbrt.f64 (*.f64 y -3/8)) 2)) (cbrt.f64 (*.f64 y -3/8)) (fma.f64 x (neg.f64 x) (fma.f64 x (neg.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -3/8) (pow.f64 (cbrt.f64 (*.f64 y -3/8)) 2)) (cbrt.f64 (*.f64 y -3/8)) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x (neg.f64 x) (*.f64 x x)))))))))

simplify124.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

612×	`fma-def_binary64`
565×	`fma-neg_binary64`
556×	`unsub-neg_binary64`
484×	`unswap-sqr_binary64`
449×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	396
1	30	378
2	56	378
3	115	378
4	301	378
5	1027	378
6	2122	378
7	4216	378
8	5736	378
9	7262	378
10	7972	378

Stop Event

1×	node limit

Counts

355 → 316

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
x
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(+.f64 (*.f64 -3/8 y) x)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 9/64 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 9/64 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 9/64 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))

Outputs
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -3/8 y)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
x
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(+.f64 (*.f64 -3/8 y) x)
(fma.f64 -3/8 y x)
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(*.f64 9/64 (pow.f64 y 2))
(.f64 9/64 (.f64 y y))
(.f64 y (.f64 y 9/64))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 9/64 (pow.f64 y 2)))
(fma.f64 -1 (.f64 x x) (.f64 9/64 (*.f64 y y)))
(fma.f64 9/64 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 9/64)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -9/64) (.f64 x x)))
(neg.f64 (fma.f64 9/64 (.f64 y y) (.f64 x x)))

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 y x))
✓	0.2b	(*.f64 -8/3 (/.f64 x (/.f64 y x)))
	0.2b	(/.f64 y (/.f64 (-.f64 (.f64 y -3/8) x) (.f64 9/64 y)))
	0.3b	(/.f64 (-.f64 (.f64 y -3/8) x) (.f64 9/64 y))

Compiler

Compiled 72 to 39 computations (45.8% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(*.f64 -8/3 (/.f64 x (/.f64 y x)))
1.0ms	x	@	0	(*.f64 -8/3 (/.f64 x (/.f64 y x)))
1.0ms	y	@	inf	(*.f64 -8/3 (/.f64 x (/.f64 y x)))
1.0ms	y	@	0	(*.f64 -8/3 (/.f64 x (/.f64 y x)))
0.0ms	x	@	inf	(/.f64 x (/.f64 y x))

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
778×	`add-log-exp_binary64`
778×	`log1p-expm1-u_binary64`
778×	`expm1-log1p-u_binary64`
762×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	153	17
2	2104	17

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(/.f64 x (/.f64 y x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -8/3 (/.f64 x (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8/3 (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y x) (*.f64 -8/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8/3 x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -8/3 x)) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -8/3 x) y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -8/3 x) 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -8/3 x) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -8/3 x) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) -8/3) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8/3 (neg.f64 x)) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8/3 (/.f64 x (/.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -8/3 (/.f64 x (/.f64 y x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -8/3 (/.f64 x (/.f64 y x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -8/3 (/.f64 x (/.f64 y x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -8/3 (/.f64 x (/.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -8/3) (/.f64 x (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -8/3 (/.f64 x (/.f64 y x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -8/3 (/.f64 x (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -8/3 (/.f64 x (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -8/3 (/.f64 x (/.f64 y x)))))))))

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

simplify145.0ms (2%)

Algorithm

1×	egg-herbie

Rules

682×	`associate-/l/_binary64`
528×	`associate-l_binary64`
493×	`*-commutative_binary64`
470×	`sqr-pow_binary64`
437×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	408
1	16	408
2	31	408
3	62	408
4	169	408
5	615	408
6	2654	408
7	3723	408
8	3933	408
9	4152	408
10	4380	408
11	4718	408
12	6225	408
13	6892	408
14	7688	408

Stop Event

1×	node limit

Counts

108 → 63

Calls

Call 1

Inputs
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)
(/.f64 (pow.f64 x 2) y)

Outputs
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(*.f64 -8/3 (/.f64 (pow.f64 x 2) y))
(.f64 -8/3 (/.f64 (.f64 x x) y))
(*.f64 -8/3 (/.f64 x (/.f64 y x)))
(.f64 -8/3 (.f64 (/.f64 x y) x))
(.f64 -8/3 (.f64 x (/.f64 x y)))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (pow.f64 x 2) y)
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))

eval738.0ms (10.4%)

Compiler: Compiled 29438 to 17240 computations (41.4% saved)

prune553.0ms (7.8%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1318	7	1325
Fresh	1	0	1
Picked	1	0	1
Done	3	5	8
Total	1323	12	1335

Error

Counts

1335 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.3b	(/.f64 (-.f64 (.f64 y (.f64 y 9/64)) (.f64 x x)) (-.f64 (.f64 y -3/8) x))
✓	0.1b	(+.f64 (*.f64 y -3/8) x)
	45.7b	(/.f64 (.f64 y y) (.f64 (-.f64 (*.f64 y -3/8) x) 64/9))
	45.8b	(.f64 (/.f64 (.f64 y y) 1) (/.f64 -3/8 y))
	29.9b	(-.f64 (/.f64 y (.f64 (/.f64 64/9 y) (-.f64 (.f64 y -3/8) x))) (*.f64 -8/3 (/.f64 x (/.f64 y x))))
	2.0b	(-.f64 (.f64 (.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) y) 9/64) (neg.f64 x))
✓	29.8b	(*.f64 -3/8 y)
✓	29.9b	(.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) (*.f64 y 9/64))
	29.9b	(.f64 -8/3 (.f64 y 9/64))
	9.1b	(.f64 (-.f64 (.f64 64/9 (/.f64 x y)) 8/3) (*.f64 y 9/64))
✓	45.5b	(/.f64 (.f64 y (.f64 y 9/64)) (-.f64 (*.f64 y -3/8) x))
	33.8b	x

Compiler

Compiled 139 to 98 computations (29.5% saved)

regimes83.0ms (1.2%)

Counts

23 → 1

Calls

Call 1

Inputs
x
x
x
x
(*.f64 -3/8 y)
(.f64 -8/3 (.f64 y 9/64))
(+.f64 (*.f64 y -3/8) x)
(-.f64 x (*.f64 (/.f64 3 8) y))
(.f64 (/.f64 (.f64 y y) 1) (/.f64 -3/8 y))
(/.f64 (.f64 y y) (.f64 (-.f64 (*.f64 y -3/8) x) 64/9))
(.f64 (-.f64 (.f64 64/9 (/.f64 x y)) 8/3) (*.f64 y 9/64))
(.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) (*.f64 y 9/64))
(/.f64 (.f64 y (.f64 y 9/64)) (-.f64 (*.f64 y -3/8) x))
(.f64 (/.f64 (.f64 y y) 1) (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)))
(-.f64 (.f64 (.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) y) 9/64) (neg.f64 x))
(/.f64 (-.f64 (.f64 y (.f64 y 9/64)) (.f64 x x)) (-.f64 (.f64 y -3/8) x))
(/.f64 (+.f64 (.f64 y (.f64 9/64 y)) (.f64 x (neg.f64 x))) (-.f64 (.f64 y -3/8) x))
(/.f64 (-.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (.f64 x x)) (-.f64 (*.f64 y -3/8) x))
(-.f64 (/.f64 y (.f64 (/.f64 64/9 y) (-.f64 (.f64 y -3/8) x))) (*.f64 -8/3 (/.f64 x (/.f64 y x))))
(-.f64 (/.f64 y (/.f64 (-.f64 (.f64 y -3/8) x) (.f64 9/64 y))) (*.f64 -8/3 (/.f64 x (/.f64 y x))))
(-.f64 (.f64 (.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) y) 9/64) (/.f64 (.f64 x x) (-.f64 (*.f64 y -3/8) x)))
(-.f64 (/.f64 y (/.f64 (-.f64 (.f64 y -3/8) x) (.f64 9/64 y))) (/.f64 (.f64 x x) (-.f64 (.f64 y -3/8) x)))
(fma.f64 y -3/8 x)

Outputs
(fma.f64 y -3/8 x)

Calls

5 calls:

15.0ms	(*.f64 (/.f64 3 8) y)
14.0ms	x
14.0ms	(-.f64 x (*.f64 (/.f64 3 8) y))
14.0ms	(*.f64 (/.f64 3 8) y)
13.0ms	y

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(-.f64 x (*.f64 (/.f64 3 8) y))`
0b	1	`(*.f64 (/.f64 3 8) y)`
0b	1	`(*.f64 (/.f64 3 8) y)`

Compiler

Compiled 267 to 166 computations (37.8% saved)

regimes233.0ms (3.3%)

Counts

22 → 1

Calls

Call 1

Inputs
x
x
x
x
(*.f64 -3/8 y)
(.f64 -8/3 (.f64 y 9/64))
(+.f64 (*.f64 y -3/8) x)
(-.f64 x (*.f64 (/.f64 3 8) y))
(.f64 (/.f64 (.f64 y y) 1) (/.f64 -3/8 y))
(/.f64 (.f64 y y) (.f64 (-.f64 (*.f64 y -3/8) x) 64/9))
(.f64 (-.f64 (.f64 64/9 (/.f64 x y)) 8/3) (*.f64 y 9/64))
(.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) (*.f64 y 9/64))
(/.f64 (.f64 y (.f64 y 9/64)) (-.f64 (*.f64 y -3/8) x))
(.f64 (/.f64 (.f64 y y) 1) (/.f64 9/64 (-.f64 (*.f64 y -3/8) x)))
(-.f64 (.f64 (.f64 (/.f64 y (-.f64 (*.f64 y -3/8) x)) y) 9/64) (neg.f64 x))
(/.f64 (-.f64 (.f64 y (.f64 y 9/64)) (.f64 x x)) (-.f64 (.f64 y -3/8) x))
(/.f64 (+.f64 (.f64 y (.f64 9/64 y)) (.f64 x (neg.f64 x))) (-.f64 (.f64 y -3/8) x))
(/.f64 (-.f64 (.f64 (.f64 y -3/8) (.f64 y -3/8)) (.f64 x x)) (-.f64 (*.f64 y -3/8) x))
(-.f64 (/.f64 y (.f64 (/.f64 64/9 y) (-.f64 (.f64 y -3/8) x))) (*.f64 -8/3 (/.f64 x (/.f64 y x))))
(-.f64 (/.f64 y (/.f64 (-.f64 (.f64 y -3/8) x) (.f64 9/64 y))) (*.f64 -8/3 (/.f64 x (/.f64 y x))))
(-.f64 (.f64 (.f64 (/.f64 y (-.f64 (.f64 y -3/8) x)) y) 9/64) (/.f64 (.f64 x x) (-.f64 (*.f64 y -3/8) x)))
(-.f64 (/.f64 y (/.f64 (-.f64 (.f64 y -3/8) x) (.f64 9/64 y))) (/.f64 (.f64 x x) (-.f64 (.f64 y -3/8) x)))

Outputs
(+.f64 (*.f64 y -3/8) x)

Calls

5 calls:

141.0ms	y
41.0ms	(*.f64 (/.f64 3 8) y)
15.0ms	(-.f64 x (*.f64 (/.f64 3 8) y))
15.0ms	(*.f64 (/.f64 3 8) y)
15.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(-.f64 x (*.f64 (/.f64 3 8) y))`
0.1b	1	`(*.f64 (/.f64 3 8) y)`
0.1b	1	`(*.f64 (/.f64 3 8) y)`

Compiler

Compiled 263 to 164 computations (37.6% saved)

regimes78.0ms (1.1%)

Counts

6 → 5

Calls

Call 1

Inputs
x
x
x
x
(*.f64 -3/8 y)
(.f64 -8/3 (.f64 y 9/64))

Outputs
(*.f64 -3/8 y)
x
(*.f64 -3/8 y)
x
(*.f64 -3/8 y)

Calls

2 calls:

41.0ms	y
33.0ms	x

Results

Error	Segments	Branch
14.1b	3	`x`
12.7b	5	`y`

Compiler

Compiled 20 to 12 computations (40% saved)

bsearch97.0ms (1.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
17.0ms	2.865447946667378e+83	4.2300991469034604e+101
23.0ms	14421863947182.963	232629729520948350.0
28.0ms	1.7210588908825013e-19	1.310103937282823e-14
28.0ms	-4.554913430096951e-13	-3.70897855649031e-15

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes10.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

4 → 1

Calls

Call 1

Inputs
x
x
x
x

Outputs
x

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Error	Segments	Branch
33.8b	1	`x`
33.8b	1	`y`

Compiler

Compiled 12 to 6 computations (50% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	51
1	23	51

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y -3/8 x)
(+.f64 (*.f64 y -3/8) x)
(if (<=.f64 y -36087742147812648/79228162514264337593543950336) (.f64 -3/8 y) (if (<=.f64 y 7148998937986117/41538374868278621028243970633760768) x (if (<=.f64 y 7383994340957677/512) (.f64 -3/8 y) (if (<=.f64 y 286544794666737781661441376189857858801232985824632299091937325768719716279889428480) x (*.f64 -3/8 y)))))
x

Outputs
(fma.f64 y -3/8 x)
(+.f64 (*.f64 y -3/8) x)
(+.f64 x (*.f64 y -3/8))
(if (<=.f64 y -36087742147812648/79228162514264337593543950336) (.f64 -3/8 y) (if (<=.f64 y 7148998937986117/41538374868278621028243970633760768) x (if (<=.f64 y 7383994340957677/512) (.f64 -3/8 y) (if (<=.f64 y 286544794666737781661441376189857858801232985824632299091937325768719716279889428480) x (*.f64 -3/8 y)))))
(if (<=.f64 y -4510967768476581/9903520314283042199192993792) (.f64 y -3/8) (if (<=.f64 y 7148998937986117/41538374868278621028243970633760768) x (if (<=.f64 y 7383994340957677/512) (.f64 y -3/8) (if (<=.f64 y 286544794666737781661441376189857858801232985824632299091937325768719716279889428480) x (*.f64 y -3/8)))))
x

Compiler

Compiled 45 to 31 computations (31.1% saved)

soundness28.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

65×	`fma-def_binary64`
50×	`fma-neg_binary64`
24×	`cancel-sign-sub-inv_binary64`
15×	`sub-neg_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	16	7
2	26	5
3	40	5
4	55	5
5	79	5
6	127	5
7	172	5
8	216	5
9	273	5
10	315	5
11	319	5

Stop Event

1×

saturated

Compiler

Compiled 71 to 55 computations (22.5% saved)

end35.0ms (0.5%)

Compiler: Compiled 39 to 25 computations (35.9% saved)

Iter	Nodes	Cost
0	11	14
1	23	14
2	41	10
3	68	10
4	94	10
5	142	10
6	208	10
7	317	10
8	375	10
9	389	10
10	391	10
0	2	2

Iter	Nodes	Cost
0	11	14
1	23	14
2	41	10
3	68	10
4	94	10
5	142	10
6	208	10
7	317	10
8	375	10
9	389	10
10	391	10
0	2	2

Details

analyze78.0ms (1.1%)

sample850.0ms (12%)

preprocess31.0ms (0.4%)

simplify14.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.2%)

series3.0ms (0%)

rewrite67.0ms (0.9%)

simplify9.0ms (0.1%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite46.0ms (0.7%)

simplify12.0ms (0.2%)

eval23.0ms (0.3%)

prune10.0ms (0.1%)

localize3.0ms (0%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite53.0ms (0.8%)

simplify14.0ms (0.2%)

localize38.0ms (0.5%)

series18.0ms (0.3%)

rewrite175.0ms (2.5%)

simplify197.0ms (2.8%)

eval623.0ms (8.8%)

prune109.0ms (1.5%)

localize28.0ms (0.4%)

series18.0ms (0.3%)

rewrite94.0ms (1.3%)

simplify109.0ms (1.5%)

localize46.0ms (0.7%)

series6.0ms (0.1%)

rewrite107.0ms (1.5%)

simplify128.0ms (1.8%)

localize83.0ms (1.2%)

series10.0ms (0.1%)

rewrite145.0ms (2%)

simplify120.0ms (1.7%)

eval597.0ms (8.4%)

prune183.0ms (2.6%)

localize28.0ms (0.4%)

series8.0ms (0.1%)

rewrite81.0ms (1.1%)

simplify90.0ms (1.3%)

localize14.0ms (0.2%)

series2.0ms (0%)

rewrite96.0ms (1.4%)

simplify71.0ms (1%)

localize17.0ms (0.2%)

series5.0ms (0.1%)

rewrite75.0ms (1.1%)

simplify81.0ms (1.1%)

localize19.0ms (0.3%)

series3.0ms (0%)

rewrite153.0ms (2.2%)

simplify124.0ms (1.8%)

localize30.0ms (0.4%)

series10.0ms (0.1%)

rewrite70.0ms (1%)

simplify145.0ms (2%)

eval738.0ms (10.4%)

prune553.0ms (7.8%)

regimes83.0ms (1.2%)

regimes233.0ms (3.3%)

regimes78.0ms (1.1%)

bsearch97.0ms (1.4%)

regimes10.0ms (0.1%)

simplify5.0ms (0.1%)

soundness28.0ms (0.4%)

end35.0ms (0.5%)

Profiling

Iter	Nodes	Cost
0	11	14
1	23	14
2	41	10
3	68	10
4	94	10
5	142	10
6	208	10
7	317	10
8	375	10
9	389	10
10	391	10
0	2	2