Details

analyze26.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	6.2%	0%	0%	6
75.9%	68.7%	21.9%	0.1%	9.4%	0%	0%	7
80%	68.7%	17.2%	0.1%	14%	0%	0%	8
86%	71.8%	11.7%	0.1%	16.4%	0%	0%	9
88.9%	71.8%	9%	0.1%	19.1%	0%	0%	10
92.4%	73.4%	6%	0.1%	20.5%	0%	0%	11
94.1%	73.4%	4.6%	0.1%	22%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.8s (22.5%)

Results

658.0ms	1505×	body	2048	valid
565.0ms	1877×	body	1024	valid
320.0ms	3740×	body	256	valid
190.0ms	1134×	body	512	valid
28.0ms	323×	body	256	infinite

Bogosity

preprocess41.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1284×	`associate-+r+`
1284×	`associate-+l+`
1092×	`associate-r`
928×	`distribute-lft-out`
796×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	23	22
2	31	22
3	50	22
4	100	22
5	244	22
6	767	22
7	3335	22
0	2	2
1	2	2

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 x a)) 1)

Outputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 x a)) 1)
(expm1.f64 (*.f64 a x))

Symmetry

(sort a x)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1070×	`+-commutative`
934×	`associate-*l/`
934×	`*-commutative`
652×	`distribute-lft-neg-in`
650×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	18	11
2	25	11
3	38	11
4	73	11
5	171	11
6	514	11
7	2052	11
8	4869	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) 1)

Outputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))

eval0.0ms (0%)

Compiler: Compiled 12 to 7 computations (41.7% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(expm1.f64 (*.f64 a x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 a x))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(expm1.f64 (*.f64 a x))
0.0ms	x	@	0	(expm1.f64 (*.f64 a x))
0.0ms	a	@	-inf	(expm1.f64 (*.f64 a x))
0.0ms	a	@	inf	(expm1.f64 (*.f64 a x))
0.0ms	x	@	-inf	(expm1.f64 (*.f64 a x))

rewrite57.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`add-sqr-sqrt`
1232×	`*-un-lft-identity`
1136×	`add-cube-cbrt`
1118×	`add-cbrt-cube`
1104×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	133	11
2	1549	11

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))

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

Outputs

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

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1246×	`associate-r`
1056×	`associate-/l*`
1024×	`associate-l`
1000×	`distribute-lft-in`
978×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	798
1	184	798
2	758	790
3	3794	790

Stop Event

1×	node limit

Counts

42 → 39

Calls

Call 1

Inputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(-.f64 (pow.f64 (exp.f64 x) a) 1)
(.f64 (expm1.f64 (.f64 a x)) 1)
(.f64 1 (expm1.f64 (.f64 a x)))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) (+.f64 1 (.f64 (pow.f64 (exp.f64 x) a) 1))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))

Outputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(fma.f64 a x (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))))
(.f64 x (+.f64 a (.f64 x (.f64 a (.f64 a 1/2)))))
(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 a x (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 a x (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 1/6 (pow.f64 a 3))) (.f64 a (.f64 a 1/2)))))
(fma.f64 a x (.f64 (.f64 x x) (+.f64 (.f64 a (.f64 a 1/2)) (.f64 x (.f64 1/6 (pow.f64 a 3))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 a x (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 1/2 (.f64 a (.f64 x (.f64 a x))) (fma.f64 a x (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 1/2 (.f64 (.f64 a x) (.f64 a x)) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (fma.f64 (pow.f64 a 4) (.f64 1/24 (pow.f64 x 4)) (.f64 a x))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(fma.f64 a x (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))))
(.f64 x (+.f64 a (.f64 x (.f64 a (.f64 a 1/2)))))
(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 a x (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 a x (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 1/6 (pow.f64 a 3))) (.f64 a (.f64 a 1/2)))))
(fma.f64 a x (.f64 (.f64 x x) (+.f64 (.f64 a (.f64 a 1/2)) (.f64 x (.f64 1/6 (pow.f64 a 3))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 a x (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 1/2 (.f64 a (.f64 x (.f64 a x))) (fma.f64 a x (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 1/2 (.f64 (.f64 a x) (.f64 a x)) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (fma.f64 (pow.f64 a 4) (.f64 1/24 (pow.f64 x 4)) (.f64 a x))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 x) a) 1)
(expm1.f64 (*.f64 a x))
(.f64 (expm1.f64 (.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(.f64 1 (expm1.f64 (.f64 a x)))
(expm1.f64 (*.f64 a x))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))
(expm1.f64 (*.f64 a x))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) (+.f64 1 (.f64 (pow.f64 (exp.f64 x) a) 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 2 a)) 1) (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) (*.f64 a 2)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) x) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 x) (*.f64 a 2)))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(expm1.f64 (*.f64 a x))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(expm1.f64 (*.f64 a x))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(expm1.f64 (*.f64 a x))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))

eval10.0ms (0.1%)

Compiler: Compiled 564 to 280 computations (50.4% saved)

prune6.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Error

0.0b

Counts

40 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	26.4b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
▶	23.4b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize3.0ms (0%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))
✓	1.7b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
✓	6.8b	(.f64 (.f64 a a) (*.f64 1/2 x))

Compiler

Compiled 38 to 18 computations (52.6% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 (.f64 a a) (*.f64 1/2 x))
1.0ms	x	@	0	(.f64 (.f64 a a) (*.f64 1/2 x))
1.0ms	x	@	-inf	(.f64 (.f64 a a) (*.f64 1/2 x))
0.0ms	x	@	inf	(.f64 (.f64 a a) (*.f64 1/2 x))
0.0ms	a	@	inf	(.f64 (.f64 a a) (*.f64 1/2 x))

rewrite110.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`swap-sqr`
684×	`distribute-rgt-in`
666×	`associate-*r/`
644×	`distribute-lft-in`
576×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	75
1	220	67
2	3046	67

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

Inputs
(.f64 (.f64 a a) (*.f64 1/2 x))
(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
(+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))

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

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

simplify178.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1506×	`associate-/r/`
884×	`associate-l`
874×	`associate-r`
776×	`associate-/l*`
598×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	445	14195
1	1252	12753
2	6321	12753

Stop Event

1×	node limit

Counts

247 → 268

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a a) (*.f64 1/2 x)))) 1)
(pow.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) 1)
(pow.f64 (.f64 a (sqrt.f64 (.f64 1/2 x))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 a a) (*.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) 3) 1/3)
(sqrt.f64 (.f64 (.f64 x x) (*.f64 1/4 (pow.f64 a 4))))
(log.f64 (pow.f64 (exp.f64 a) (.f64 a (.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a a) (*.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 a a) (*.f64 1/2 x))))
(exp.f64 (log.f64 (.f64 (.f64 a a) (*.f64 1/2 x))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 a a) (.f64 1/2 x))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 a a) (*.f64 1/2 x))))
(+.f64 (.f64 a x) (.f64 (.f64 a a) (.f64 (*.f64 1/2 x) x)))
(+.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) (*.f64 a x))
(+.f64 (.f64 (.f64 a x) 1) (.f64 (.f64 (.f64 a a) (.f64 (*.f64 1/2 x) x)) 1))
(+.f64 (.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) 1) (.f64 (*.f64 a x) 1))
(+.f64 (.f64 1 (.f64 (.f64 a x) 1)) (.f64 1 (.f64 (.f64 (.f64 a a) (.f64 (*.f64 1/2 x) x)) 1)))
(+.f64 (.f64 (.f64 (.f64 a x) 1) 1) (.f64 (.f64 (.f64 (.f64 a a) (.f64 (*.f64 1/2 x) x)) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 1)
(/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(/.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) (/.f64 (+.f64 a (.f64 a (.f64 a (*.f64 x -1/2)))) x))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) (/.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))) x))
(/.f64 (.f64 x (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))))) (+.f64 a (.f64 a (.f64 a (.f64 x -1/2)))))
(/.f64 (.f64 x (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3))) (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) a))))
(/.f64 (.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) x) (+.f64 a (.f64 a (.f64 a (.f64 x -1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) x) (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) a))))
(/.f64 (-.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 (.f64 1/4 (pow.f64 a 4)) (.f64 (pow.f64 x 3) x))) (.f64 a (-.f64 x (.f64 (.f64 a (.f64 1/2 x)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 a x) 3) (pow.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) 3)) (+.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) (-.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) (.f64 a x)))))
(/.f64 (.f64 x (-.f64 (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))) (.f64 a a))) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))
(/.f64 (.f64 x (neg.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))))) (neg.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))))
(/.f64 (.f64 x (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (neg.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) a)))))
(/.f64 (.f64 1 (.f64 x (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))))) (+.f64 a (.f64 a (.f64 a (*.f64 x -1/2)))))
(/.f64 (.f64 1 (.f64 x (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))))
(/.f64 (.f64 1 (.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) x)) (+.f64 a (.f64 a (.f64 a (*.f64 x -1/2)))))
(/.f64 (.f64 1 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) x)) (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))))
(/.f64 (.f64 1 (-.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 (.f64 1/4 (pow.f64 a 4)) (.f64 (pow.f64 x 3) x)))) (.f64 a (-.f64 x (.f64 (.f64 a (*.f64 1/2 x)) x))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 a x) 3) (pow.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) 3))) (+.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) (-.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) (*.f64 a x)))))
(/.f64 (.f64 (.f64 x (sqrt.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))))) (sqrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))))
(/.f64 (.f64 (.f64 x (sqrt.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) (sqrt.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (sqrt.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) a)))))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) 2)) (cbrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))))) (cbrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (cbrt.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) a)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))) (.f64 a a)) x) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))))) x) (neg.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3))) x) (neg.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) a)))))
(/.f64 (.f64 (.f64 x (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))))) 1) (+.f64 a (.f64 a (.f64 a (*.f64 x -1/2)))))
(/.f64 (.f64 (.f64 x (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3))) 1) (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) x) 1) (+.f64 a (.f64 a (.f64 a (*.f64 x -1/2)))))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) x) 1) (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 a a) (.f64 x x)) (.f64 (.f64 1/4 (pow.f64 a 4)) (.f64 (pow.f64 x 3) x))) 1) (.f64 a (-.f64 x (.f64 (.f64 a (*.f64 1/2 x)) x))))
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(/.f64 (.f64 (-.f64 (pow.f64 a 4) (.f64 (.f64 (.f64 (pow.f64 x 3) x) 1/16) (.f64 (pow.f64 a 4) (pow.f64 a 4)))) (/.f64 1 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2)))))) (+.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a a) 3) (pow.f64 (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))) 3)) (/.f64 1 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2)))))) (+.f64 (pow.f64 a 4) (.f64 (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))) (+.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a a) 3) (.f64 (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3))) (/.f64 1 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))))) (-.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3) 3)) (/.f64 1 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))))) (+.f64 (pow.f64 (.f64 a a) 3) (.f64 (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3) (-.f64 (pow.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) 3) (pow.f64 a 3)))))
(/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) 1) (+.f64 a (.f64 a (.f64 a (*.f64 x -1/2)))))
(/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) (sqrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2)))))) (sqrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))))
(/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) (.f64 (cbrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))) (cbrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))))) (cbrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))))
(/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) (+.f64 (.f64 a (sqrt.f64 (.f64 1/2 x))) (sqrt.f64 a))) (-.f64 (sqrt.f64 a) (.f64 a (sqrt.f64 (.f64 1/2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) 1) (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) (sqrt.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))))) (sqrt.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) a)))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) (.f64 (cbrt.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a)))) (cbrt.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a)))))) (cbrt.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) a)))))
(pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) (neg.f64 (+.f64 a (.f64 a (.f64 a (*.f64 x -1/2)))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) (neg.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))))))
(sqrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) 2))
(log.f64 (exp.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(exp.f64 (log.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(exp.f64 (.f64 (log.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(fma.f64 a (.f64 a (.f64 1/2 x)) a)
(fma.f64 (.f64 a a) (.f64 1/2 x) a)
(fma.f64 (.f64 1/2 x) (.f64 a a) a)
(fma.f64 1 a (.f64 (.f64 a a) (*.f64 1/2 x)))
(fma.f64 1 (.f64 (.f64 a a) (*.f64 1/2 x)) a)
(fma.f64 (.f64 a (sqrt.f64 (.f64 1/2 x))) (.f64 a (sqrt.f64 (.f64 1/2 x))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 (.f64 a a) (*.f64 1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 a a) (.f64 1/2 x))) 2) (cbrt.f64 (.f64 (.f64 a a) (.f64 1/2 x))) a)
(fma.f64 (cbrt.f64 (.f64 a a)) (cbrt.f64 a) (.f64 (.f64 a a) (.f64 1/2 x)))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)

Outputs
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (.f64 a (.f64 (.f64 a x) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (.f64 a (.f64 (.f64 a x) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (.f64 a (.f64 (.f64 a x) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (.f64 a (.f64 (.f64 a x) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 1/2 x) 1)))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a a) (*.f64 1/2 x)))) 1)
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(pow.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) 1)
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(pow.f64 (.f64 a (sqrt.f64 (.f64 1/2 x))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 a a) (*.f64 1/2 x))) 3)
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(pow.f64 (pow.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) 3) 1/3)
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 1/2 (.f64 a (*.f64 a x)))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 1/4 (pow.f64 a 4))))
(sqrt.f64 (.f64 x (.f64 x (*.f64 1/4 (pow.f64 a 4)))))
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(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a (fma.f64 a (.f64 1/2 x) 1))) 2) (cbrt.f64 (fma.f64 (pow.f64 a 6) (.f64 (pow.f64 x 3) 1/8) (pow.f64 a 3)))) (cbrt.f64 (fma.f64 a a (.f64 a (.f64 (.f64 1/2 (.f64 a x)) (fma.f64 a (.f64 1/2 (.f64 a x)) (neg.f64 a)))))))
(/.f64 (.f64 (-.f64 (pow.f64 a 4) (.f64 (.f64 (.f64 (pow.f64 x 3) x) 1/16) (.f64 (pow.f64 a 4) (pow.f64 a 4)))) (/.f64 1 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2)))))) (+.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))))
(/.f64 (-.f64 (pow.f64 a 4) (.f64 (pow.f64 x 4) (.f64 1/16 (pow.f64 a 8)))) (.f64 (+.f64 a (.f64 a (.f64 (.f64 a x) -1/2))) (fma.f64 a a (.f64 x (.f64 x (*.f64 1/4 (pow.f64 a 4)))))))
(/.f64 (+.f64 (pow.f64 a 4) (.f64 (pow.f64 a 8) (.f64 (pow.f64 x 4) -1/16))) (.f64 (fma.f64 a (.f64 x (.f64 -1/2 a)) a) (fma.f64 a a (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a a) 3) (pow.f64 (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))) 3)) (/.f64 1 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2)))))) (+.f64 (pow.f64 a 4) (.f64 (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))) (+.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 a a) 3) (pow.f64 (.f64 x (.f64 x (.f64 1/4 (pow.f64 a 4)))) 3)) (+.f64 a (.f64 a (.f64 (.f64 a x) -1/2)))) (+.f64 (pow.f64 a 4) (.f64 (.f64 x x) (.f64 (.f64 1/4 (pow.f64 a 4)) (fma.f64 a a (.f64 x (.f64 x (.f64 1/4 (pow.f64 a 4)))))))))
(/.f64 (-.f64 (pow.f64 a 6) (pow.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) 3)) (.f64 (fma.f64 a (.f64 x (.f64 -1/2 a)) a) (fma.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (fma.f64 a a (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)))) (pow.f64 a 4))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a a) 3) (.f64 (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3))) (/.f64 1 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))))) (-.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) 3)))
(/.f64 (-.f64 (pow.f64 (.f64 a a) 3) (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 6)) (.f64 (fma.f64 a a (.f64 (.f64 a a) (.f64 (.f64 1/2 x) (fma.f64 (.f64 a a) (.f64 1/2 x) (neg.f64 a))))) (-.f64 (pow.f64 a 3) (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 3))))
(/.f64 (-.f64 (pow.f64 a 6) (pow.f64 (.f64 1/2 (.f64 a (.f64 a x))) 6)) (.f64 (fma.f64 a a (.f64 a (.f64 (.f64 1/2 (.f64 a x)) (fma.f64 a (.f64 1/2 (.f64 a x)) (neg.f64 a))))) (-.f64 (pow.f64 a 3) (.f64 (pow.f64 a 6) (.f64 (pow.f64 x 3) 1/8)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3) 3)) (/.f64 1 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))))) (+.f64 (pow.f64 (.f64 a a) 3) (.f64 (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3) (-.f64 (pow.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) 3) (pow.f64 a 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 3) 3)) (fma.f64 a a (.f64 (.f64 a a) (.f64 (.f64 1/2 x) (fma.f64 (.f64 a a) (.f64 1/2 x) (neg.f64 a)))))) (+.f64 (pow.f64 (.f64 a a) 3) (.f64 (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 3) (-.f64 (pow.f64 (.f64 a (.f64 a (*.f64 1/2 x))) 3) (pow.f64 a 3)))))
(/.f64 (/.f64 (+.f64 (.f64 a (pow.f64 a 8)) (pow.f64 (.f64 (pow.f64 a 6) (.f64 (pow.f64 x 3) 1/8)) 3)) (fma.f64 a a (.f64 a (.f64 (.f64 1/2 (.f64 a x)) (fma.f64 a (.f64 1/2 (.f64 a x)) (neg.f64 a)))))) (fma.f64 (.f64 (pow.f64 a 6) (.f64 (pow.f64 x 3) 1/8)) (-.f64 (.f64 (pow.f64 a 6) (*.f64 (pow.f64 x 3) 1/8)) (pow.f64 a 3)) (pow.f64 a 6)))
(/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) 1) (+.f64 a (.f64 a (.f64 a (*.f64 x -1/2)))))
(-.f64 (.f64 (/.f64 a (+.f64 a (.f64 a (.f64 (.f64 a x) -1/2)))) a) (/.f64 (.f64 x x) (/.f64 (+.f64 a (.f64 a (.f64 (.f64 a x) -1/2))) (*.f64 1/4 (pow.f64 a 4)))))
(/.f64 (fma.f64 a a (.f64 (.f64 x x) (.f64 (pow.f64 a 4) -1/4))) (fma.f64 a (.f64 x (*.f64 -1/2 a)) a))
(/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) (sqrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2)))))) (sqrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))))
(-.f64 (.f64 (/.f64 a (+.f64 a (.f64 a (.f64 (.f64 a x) -1/2)))) a) (/.f64 (.f64 x x) (/.f64 (+.f64 a (.f64 a (.f64 (.f64 a x) -1/2))) (*.f64 1/4 (pow.f64 a 4)))))
(/.f64 (fma.f64 a a (.f64 (.f64 x x) (.f64 (pow.f64 a 4) -1/4))) (fma.f64 a (.f64 x (*.f64 -1/2 a)) a))
(/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) (.f64 (cbrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))) (cbrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))))) (cbrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))))
(-.f64 (.f64 (/.f64 a (+.f64 a (.f64 a (.f64 (.f64 a x) -1/2)))) a) (/.f64 (.f64 x x) (/.f64 (+.f64 a (.f64 a (.f64 (.f64 a x) -1/2))) (*.f64 1/4 (pow.f64 a 4)))))
(/.f64 (fma.f64 a a (.f64 (.f64 x x) (.f64 (pow.f64 a 4) -1/4))) (fma.f64 a (.f64 x (*.f64 -1/2 a)) a))
(/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) (+.f64 (.f64 a (sqrt.f64 (.f64 1/2 x))) (sqrt.f64 a))) (-.f64 (sqrt.f64 a) (.f64 a (sqrt.f64 (.f64 1/2 x)))))
(/.f64 (-.f64 (.f64 a a) (.f64 x (.f64 x (.f64 1/4 (pow.f64 a 4))))) (.f64 (-.f64 (sqrt.f64 a) (.f64 a (sqrt.f64 (.f64 1/2 x)))) (fma.f64 a (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 a))))
(/.f64 (fma.f64 a a (.f64 (.f64 x x) (.f64 (pow.f64 a 4) -1/4))) (.f64 (fma.f64 a (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 a)) (-.f64 (sqrt.f64 a) (.f64 a (sqrt.f64 (*.f64 1/2 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) 1) (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))))
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 3) (pow.f64 a 3)) (fma.f64 a a (.f64 (.f64 a a) (.f64 (.f64 1/2 x) (fma.f64 (.f64 a a) (*.f64 1/2 x) (neg.f64 a))))))
(/.f64 (fma.f64 (pow.f64 a 6) (.f64 (pow.f64 x 3) 1/8) (pow.f64 a 3)) (fma.f64 a a (.f64 a (.f64 (.f64 1/2 (.f64 a x)) (fma.f64 a (.f64 1/2 (*.f64 a x)) (neg.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) (sqrt.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))))) (sqrt.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 3) (pow.f64 a 3)) (fma.f64 a a (.f64 (.f64 a a) (.f64 (.f64 1/2 x) (fma.f64 (.f64 a a) (*.f64 1/2 x) (neg.f64 a))))))
(/.f64 (fma.f64 (pow.f64 a 6) (.f64 (pow.f64 x 3) 1/8) (pow.f64 a 3)) (fma.f64 a a (.f64 a (.f64 (.f64 1/2 (.f64 a x)) (fma.f64 a (.f64 1/2 (*.f64 a x)) (neg.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) (.f64 (cbrt.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a)))) (cbrt.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a)))))) (cbrt.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 3) (pow.f64 a 3)) (fma.f64 a a (.f64 (.f64 a a) (.f64 (.f64 1/2 x) (fma.f64 (.f64 a a) (*.f64 1/2 x) (neg.f64 a))))))
(/.f64 (fma.f64 (pow.f64 a 6) (.f64 (pow.f64 x 3) 1/8) (pow.f64 a 3)) (fma.f64 a a (.f64 a (.f64 (.f64 1/2 (.f64 a x)) (fma.f64 a (.f64 1/2 (*.f64 a x)) (neg.f64 a))))))
(pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) 1)
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(pow.f64 (sqrt.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))) 2)
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(pow.f64 (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))) 3)
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(pow.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) 3) 1/3)
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(neg.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) (neg.f64 (+.f64 a (.f64 a (.f64 a (*.f64 x -1/2)))))))
(-.f64 (.f64 (/.f64 a (+.f64 a (.f64 a (.f64 (.f64 a x) -1/2)))) a) (/.f64 (.f64 x x) (/.f64 (+.f64 a (.f64 a (.f64 (.f64 a x) -1/2))) (*.f64 1/4 (pow.f64 a 4)))))
(/.f64 (fma.f64 a a (.f64 (.f64 x x) (.f64 (pow.f64 a 4) -1/4))) (fma.f64 a (.f64 x (*.f64 -1/2 a)) a))
(neg.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) (neg.f64 (fma.f64 a a (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 3) (pow.f64 a 3)) (fma.f64 a a (.f64 (.f64 a a) (.f64 (.f64 1/2 x) (fma.f64 (.f64 a a) (*.f64 1/2 x) (neg.f64 a))))))
(/.f64 (fma.f64 (pow.f64 a 6) (.f64 (pow.f64 x 3) 1/8) (pow.f64 a 3)) (fma.f64 a a (.f64 a (.f64 (.f64 1/2 (.f64 a x)) (fma.f64 a (.f64 1/2 (*.f64 a x)) (neg.f64 a))))))
(sqrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 a (.f64 a (.f64 1/2 x)) a) 2))
(fabs.f64 (.f64 a (fma.f64 a (.f64 1/2 x) 1)))
(log.f64 (exp.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) 3))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(expm1.f64 (log1p.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(exp.f64 (log.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(exp.f64 (.f64 (log.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) 1))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(log1p.f64 (expm1.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 a (.f64 a (.f64 1/2 x)) a)
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (.f64 a a) (.f64 1/2 x) a)
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (.f64 1/2 x) (.f64 a a) a)
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 1 a (.f64 (.f64 a a) (*.f64 1/2 x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 1 (.f64 (.f64 a a) (*.f64 1/2 x)) a)
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (.f64 a (sqrt.f64 (.f64 1/2 x))) (.f64 a (sqrt.f64 (.f64 1/2 x))) a)
(+.f64 (pow.f64 (.f64 a (sqrt.f64 (.f64 1/2 x))) 2) a)
(+.f64 a (pow.f64 (.f64 a (sqrt.f64 (.f64 1/2 x))) 2))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 (.f64 a a) (*.f64 1/2 x)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 a a) (.f64 1/2 x))) 2) (cbrt.f64 (.f64 (.f64 a a) (.f64 1/2 x))) a)
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))
(fma.f64 (cbrt.f64 (.f64 a a)) (cbrt.f64 a) (.f64 (.f64 a a) (.f64 1/2 x)))
(fma.f64 (cbrt.f64 (.f64 a a)) (cbrt.f64 a) (.f64 a (.f64 a (.f64 1/2 x))))
(fma.f64 (cbrt.f64 (.f64 a a)) (cbrt.f64 a) (.f64 1/2 (.f64 a (.f64 a x))))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 1/2 x) 1))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.3b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	11.5b	(cbrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series16.0ms (0.2%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
2.0ms	x	@	0	(cbrt.f64 (expm1.f64 (*.f64 a x)))
1.0ms	a	@	inf	(cbrt.f64 (expm1.f64 (*.f64 a x)))
1.0ms	a	@	0	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
1.0ms	x	@	inf	(cbrt.f64 (expm1.f64 (*.f64 a x)))

rewrite57.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`add-sqr-sqrt`
1572×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1458×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	200	26
2	2084	26

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)

Outputs

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

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

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1582×	`associate-/r*`
1548×	`associate-/l*`
516×	`sqr-pow`
404×	`associate-/l/`
398×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	1094
1	246	1094
2	931	1094
3	3453	1094

Stop Event

1×	node limit

Counts

78 → 53

Calls

Call 1

Inputs
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 1)
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1)
(.f64 1 (cbrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/3))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 1))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(-.f64 (pow.f64 (exp.f64 x) a) 1)
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3) 1)
(.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3) 1/6) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1) (cbrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3) 1/6)) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3) 1/6) 3) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3) 1/6) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) 3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) (+.f64 1 (.f64 (pow.f64 (exp.f64 x) a) 1))))
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3) 2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3) 3))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)))

Outputs
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 1)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 1 (cbrt.f64 (expm1.f64 (.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (expm1.f64 (.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 1))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 x) a) 1)
(expm1.f64 (*.f64 a x))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3) 1)
(expm1.f64 (*.f64 a x))
(.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3) 1/6) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(expm1.f64 (*.f64 a x))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1) (cbrt.f64 (expm1.f64 (.f64 a x))))
(expm1.f64 (*.f64 a x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3) 1/6)) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3) 1/6))
(expm1.f64 (*.f64 a x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3) 1/6) 3) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3) 1/6) 3))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) 3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))
(expm1.f64 (*.f64 a x))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) (+.f64 1 (.f64 (pow.f64 (exp.f64 x) a) 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1) (+.f64 (pow.f64 (exp.f64 x) (*.f64 2 a)) (+.f64 1 (pow.f64 (exp.f64 x) a))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (+.f64 (pow.f64 (exp.f64 x) a) (+.f64 1 (pow.f64 (exp.f64 x) (*.f64 a 2)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) (*.f64 a 2)))))
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3) 2))
(expm1.f64 (*.f64 a x))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)))
(expm1.f64 (*.f64 a x))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3) 3))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)))
(expm1.f64 (*.f64 a x))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3)) 1))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)))
(expm1.f64 (*.f64 a x))

eval133.0ms (1.7%)

Compiler: Compiled 9710 to 5288 computations (45.5% saved)

prune59.0ms (0.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	354	6	360
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	354	10	364

Error

0.0b

Counts

364 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.1b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)
✓	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	26.5b	(/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
	35.7b	(.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3) 1/6) 3) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3) 1/6) 3))
▶	26.5b	(.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))
✓	26.4b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
▶	24.0b	(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))
✓	23.4b	(*.f64 a x)
▶	50.5b	(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
✓	0.0b	(expm1.f64 (*.f64 a x))

Compiler

Compiled 219 to 154 computations (29.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)
✓	0.4b	(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
✓	0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
	11.5b	(cbrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 41 to 13 computations (68.3% saved)

series125.0ms (1.6%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
34.0ms	a	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
31.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
21.0ms	x	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
12.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
9.0ms	x	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)

rewrite76.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`add-sqr-sqrt`
1726×	`*-un-lft-identity`
1628×	`add-cube-cbrt`
1606×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	244	45
2	2383	45

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)

Outputs

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

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

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

simplify169.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1628×	`associate-r`
1180×	`associate-l`
890×	`fma-def`
846×	`*-commutative`
752×	`distribute-rgt-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	489	17569
1	1771	14895
2	6947	11671

Stop Event

1×	node limit

Counts

147 → 175

Calls

Call 1

Inputs
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))
(+.f64 (.f64 a (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))
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(+.f64 (pow.f64 (exp.f64 x) a) -1)
(-.f64 (pow.f64 (exp.f64 x) a) 1)
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3) 1)
(.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3))
(.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3) 1/6) (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)))
(.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 2) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 2) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3) 1/6)) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3) 1/6))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3) 1/6) 3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3) 1/6) 3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3) 1/6)) 9) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3) 1/6)) 9))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 9))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) (+.f64 1 (.f64 (pow.f64 (exp.f64 x) a) 1))))
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3) 2))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3) 3))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 9))
(exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)))

Outputs
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)
(+.f64 (.f64 a (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))
(fma.f64 a (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) x) 1/6) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))
(fma.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))
(+.f64 (.f64 a (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 1/162 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))) (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))
(fma.f64 a (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) x) 1/6) (fma.f64 (.f64 a a) (fma.f64 (fma.f64 2 (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (.f64 1/324 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 x x))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/162 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x x)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648))))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
(fma.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x 1/6)) (fma.f64 (.f64 a a) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (.f64 x x) 1/324))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (.f64 x x) 1/162)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
(fma.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x 1/6)) (fma.f64 (.f64 a a) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (.f64 2 (.f64 (.f64 x x) 1/162)) (.f64 (.f64 x x) 1/324))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (.f64 (.f64 x x) 1/162) (.f64 (*.f64 x x) 1/162)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
(+.f64 (.f64 a (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 1/162 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))) (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))) (+.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)) (.f64 (pow.f64 a 3) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/324 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/34992 (pow.f64 x 3)) (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))))))) (.f64 1/9 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 1/9 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x)))) (+.f64 (.f64 1/18 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/324 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/34992 (pow.f64 x 3)) (.f64 1/54 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 3)))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))))))
(fma.f64 a (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) x) 1/6) (+.f64 (fma.f64 (.f64 a a) (fma.f64 (fma.f64 2 (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (.f64 1/324 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 x x))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/162 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x x)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648))))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) (.f64 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 (fma.f64 1/324 (.f64 x (.f64 (.f64 x x) 1/12)) (fma.f64 1/34992 (pow.f64 x 3) (.f64 1/54 (.f64 (pow.f64 x 3) 0)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (.f64 1/9 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648))) (.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) x) (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648))) (fma.f64 1/18 (.f64 (fma.f64 2 (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (.f64 1/324 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 x x))) (.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))))) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 (fma.f64 1/324 (.f64 x (.f64 (.f64 x x) 1/12)) (fma.f64 1/34992 (pow.f64 x 3) (.f64 1/54 (*.f64 (pow.f64 x 3) 0)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))))))))
(fma.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x 1/6)) (fma.f64 (.f64 a a) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (.f64 x x) 1/324))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (.f64 x x) 1/162)))) (fma.f64 (pow.f64 a 3) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/9 (.f64 (.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216))) (.f64 2 (.f64 (fma.f64 1/324 (.f64 (pow.f64 x 3) 1/12) (fma.f64 1/34992 (pow.f64 x 3) 0)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))) (fma.f64 1/9 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)))) (fma.f64 1/18 (.f64 x (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (.f64 x x) 1/324))))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 1/324 (.f64 (pow.f64 x 3) 1/12) (fma.f64 1/34992 (pow.f64 x 3) 0)))))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))
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(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)
(+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (+.f64 (.f64 1/18 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) x))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x (.f64 (*.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) 1/6)))
(fma.f64 x (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 a 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))
(+.f64 (.f64 (+.f64 (.f64 1/162 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (+.f64 (.f64 1/18 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) x)))
(fma.f64 (fma.f64 1/162 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 a a)) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (.f64 1/324 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))))))) (.f64 x x) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) 1/6))))
(fma.f64 (.f64 x x) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (.f64 (.f64 a a) 1/324) (.f64 2 (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (.f64 1/162 a) a))) (fma.f64 x (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 a 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
(fma.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (.f64 (.f64 a a) 1/324) (.f64 2 (.f64 (.f64 a a) 1/162)))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (.f64 (.f64 a a) 1/162) (.f64 (.f64 a a) 1/162)))) (fma.f64 x (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 a 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))))))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/34992 (pow.f64 a 3)) (.f64 1/324 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))))))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/34992 (pow.f64 a 3)) (.f64 1/324 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) (.f64 1/18 (.f64 a (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/162 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (+.f64 (.f64 1/18 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) x))))
(fma.f64 (fma.f64 (fma.f64 1/9 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12))))) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/54 (.f64 (pow.f64 a 3) 0) (fma.f64 1/34992 (pow.f64 a 3) (.f64 1/324 (.f64 a (.f64 (.f64 a a) 1/12)))))))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/54 (.f64 (pow.f64 a 3) 0) (fma.f64 1/34992 (pow.f64 a 3) (.f64 1/324 (.f64 a (.f64 (.f64 a a) 1/12)))))) (fma.f64 1/9 (.f64 (.f64 a (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12))))) (.f64 (.f64 1/18 a) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (.f64 1/324 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))))))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/162 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 a a)) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (.f64 1/324 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))))))) (.f64 x x) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x (.f64 (*.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) 1/6)))))
(fma.f64 (pow.f64 x 3) (+.f64 (fma.f64 1/9 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))) (.f64 1/18 (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (.f64 (.f64 a a) 1/324) (.f64 2 (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216))))))))) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/9 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 0 (fma.f64 1/324 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/34992)))))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 0 (fma.f64 1/324 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/34992)))))) (fma.f64 (.f64 x x) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (.f64 (.f64 a a) 1/324) (.f64 2 (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (.f64 1/162 a) a))) (fma.f64 x (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (*.f64 a 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))
(fma.f64 (pow.f64 x 3) (+.f64 (.f64 a (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (.f64 (.f64 a a) 1/324) (.f64 2 (.f64 (.f64 a a) 1/162)))) 1/18) (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (.f64 a a) 1/162)) 1/9))) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 (.f64 1/9 (.f64 a (.f64 (.f64 a a) 1/162))) (+.f64 0 (.f64 2 (fma.f64 1/324 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/34992)))))) (.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (+.f64 0 (fma.f64 1/324 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/34992))))))) (fma.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (.f64 (.f64 a a) 1/324) (.f64 2 (.f64 (.f64 a a) 1/162)))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (.f64 (.f64 a a) 1/162) (.f64 (.f64 a a) 1/162)))) (fma.f64 x (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 a 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a)))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 1/18 (.f64 a (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a)))))))
(fma.f64 1/18 (.f64 x (.f64 a (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))))
(+.f64 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (pow.f64 a 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x)))))
(fma.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 a a)) (+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 1/18 (.f64 a (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))))))))
(+.f64 (.f64 1/18 (.f64 x (.f64 a (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a)))))) (.f64 (+.f64 (.f64 (.f64 a a) (fma.f64 (.f64 x x) 1/648 (.f64 (*.f64 x x) 1/216))) 1) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a)))))
(.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (.f64 (.f64 a 1/18) x) (+.f64 (.f64 (.f64 a a) (.f64 (*.f64 x x) 1/162)) 1)))
(+.f64 (.f64 (pow.f64 a 3) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/324 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/34992 (pow.f64 x 3)) (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))))))) (+.f64 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (pow.f64 a 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x))))))
(fma.f64 (pow.f64 a 3) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/324 (.f64 x (.f64 (.f64 x x) 1/12)) (fma.f64 1/34992 (pow.f64 x 3) (.f64 1/54 (.f64 (pow.f64 x 3) 0))))) (fma.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 a a)) (+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 1/18 (.f64 a (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a)))))))))
(fma.f64 (pow.f64 a 3) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/324 (.f64 (pow.f64 x 3) 1/12) (fma.f64 1/34992 (pow.f64 x 3) 0))) (+.f64 (.f64 1/18 (.f64 x (.f64 a (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a)))))) (.f64 (+.f64 (.f64 (.f64 a a) (fma.f64 (.f64 x x) 1/648 (.f64 (*.f64 x x) 1/216))) 1) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))))))
(fma.f64 (pow.f64 a 3) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/324 (.f64 (pow.f64 x 3) 1/12) (fma.f64 1/34992 (pow.f64 x 3) 0))) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (.f64 (.f64 a 1/18) x) (+.f64 (.f64 (.f64 a a) (.f64 (*.f64 x x) 1/162)) 1))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) (pow.f64 (expm1.f64 (*.f64 x a)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) (pow.f64 (expm1.f64 (*.f64 x a)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) (pow.f64 (expm1.f64 (*.f64 x a)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) (pow.f64 (expm1.f64 (*.f64 x a)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) (pow.f64 (expm1.f64 (*.f64 x a)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) (pow.f64 (expm1.f64 (*.f64 x a)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) (pow.f64 (expm1.f64 (*.f64 x a)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) (pow.f64 (expm1.f64 (*.f64 x a)) 1/18))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a)))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) x))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 1/18 (.f64 a (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a)))))))
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(expm1.f64 (*.f64 x a))
(.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3) 1/6) (.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 2) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 2) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3) 1/6)) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3) 1/6))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3) 1/6) 3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3) 1/6) 3))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3) 1/6)) 9) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3) 1/6)) 9))
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 3) 1/6)) 18)
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/6)) 18)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 9))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a))))) 2) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))))) 9))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 2 a)) -1) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) (*.f64 a 2))) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) (+.f64 1 (.f64 (pow.f64 (exp.f64 x) a) 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 2 a)) 1) (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) (*.f64 a 2)))))
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3) 2))
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 3) 2))
(fabs.f64 (expm1.f64 (*.f64 x a)))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3))))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3) 3))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(expm1.f64 (*.f64 a x))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(exp.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 9))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 3)) 1))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 x a))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
✓	4.2b	(.f64 a (.f64 a (*.f64 x x)))
✓	6.4b	(.f64 a (.f64 x x))

Compiler

Compiled 29 to 8 computations (72.4% saved)

series18.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
15.0ms	a	@	0	(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
1.0ms	a	@	0	(.f64 a (.f64 x x))
0.0ms	x	@	0	(.f64 a (.f64 x x))
0.0ms	x	@	inf	(.f64 a (.f64 x x))
0.0ms	a	@	inf	(.f64 a (.f64 x x))

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1708×	`add-sqr-sqrt`
1690×	`*-un-lft-identity`
1570×	`add-cube-cbrt`
1546×	`add-cbrt-cube`
184×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	184	45
2	2249	45

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

Inputs
(.f64 a (.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))

Outputs

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

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

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

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1190×	`unswap-sqr`
746×	`+-commutative`
614×	`distribute-lft-neg-in`
614×	`distribute-rgt-neg-in`
592×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	2129
1	229	1685
2	1043	1673
3	5036	1673

Stop Event

1×	node limit

Counts

111 → 52

Calls

Call 1

Inputs
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 a (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 x x)))) 1)
(pow.f64 (.f64 a (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 a)) 2)
(pow.f64 (cbrt.f64 (.f64 a (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 a (.f64 x x)) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 x 4) (.f64 a a)))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 x x)))))
(cbrt.f64 (pow.f64 (.f64 a (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 a (.f64 x x))))
(exp.f64 (log.f64 (.f64 a (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 a (.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 a (*.f64 x x))))) 1)
(pow.f64 (.f64 a (.f64 a (*.f64 x x))) 1)
(pow.f64 (*.f64 a x) 2)
(pow.f64 (cbrt.f64 (.f64 a (.f64 a (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (.f64 a (.f64 a (*.f64 x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 a (.f64 a (*.f64 x x))) 2))
(log.f64 (exp.f64 (.f64 a (.f64 a (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 a (*.f64 x x))))))
(cbrt.f64 (pow.f64 (.f64 a (.f64 a (*.f64 x x))) 3))
(expm1.f64 (log1p.f64 (.f64 a (.f64 a (*.f64 x x)))))
(exp.f64 (log.f64 (.f64 a (.f64 a (*.f64 x x)))))
(exp.f64 (.f64 (log.f64 (.f64 a (.f64 a (.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (.f64 a (.f64 a (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))))) 1)
(pow.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))) 1)
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a x)) 2)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x))))) 3)
(pow.f64 (pow.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))) 3) 1/3)
(sqrt.f64 (.f64 1/4 (pow.f64 (.f64 a (.f64 a (.f64 x x))) 2)))
(log.f64 (pow.f64 (exp.f64 1/2) (.f64 a (.f64 a (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))))))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))) 3))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x))))))
(exp.f64 (log.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x))))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (.f64 a (.f64 a (*.f64 x x))))) 1))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x))))))

Outputs
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 a (pow.f64 x 2))
(.f64 a (.f64 x x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 x x)))) 1)
(.f64 a (.f64 x x))
(pow.f64 (.f64 a (.f64 x x)) 1)
(.f64 a (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 a)) 2)
(.f64 a (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 a (.f64 x x))) 3)
(.f64 a (.f64 x x))
(pow.f64 (pow.f64 (.f64 a (.f64 x x)) 3) 1/3)
(.f64 a (.f64 x x))
(sqrt.f64 (.f64 (pow.f64 x 4) (.f64 a a)))
(sqrt.f64 (.f64 (.f64 a a) (pow.f64 x 4)))
(sqrt.f64 (pow.f64 (.f64 a (.f64 x x)) 2))
(fabs.f64 (.f64 a (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 x x)))
(.f64 a (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 x x)))))
(.f64 a (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 a (.f64 x x)) 3))
(.f64 a (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 a (.f64 x x))))
(.f64 a (.f64 x x))
(exp.f64 (log.f64 (.f64 a (.f64 x x))))
(.f64 a (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 x x))) 1))
(.f64 a (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 a (.f64 x x))))
(.f64 a (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 a (*.f64 x x))))) 1)
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(pow.f64 (.f64 a (.f64 a (*.f64 x x))) 1)
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(pow.f64 (*.f64 a x) 2)
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (cbrt.f64 (.f64 a (.f64 a (*.f64 x x)))) 3)
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(pow.f64 (pow.f64 (.f64 a (.f64 a (*.f64 x x))) 3) 1/3)
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(sqrt.f64 (pow.f64 (.f64 a (.f64 a (*.f64 x x))) 2))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(log.f64 (exp.f64 (.f64 a (.f64 a (*.f64 x x)))))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 a (*.f64 x x))))))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(cbrt.f64 (pow.f64 (.f64 a (.f64 a (*.f64 x x))) 3))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(expm1.f64 (log1p.f64 (.f64 a (.f64 a (*.f64 x x)))))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(exp.f64 (log.f64 (.f64 a (.f64 a (*.f64 x x)))))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(exp.f64 (.f64 (log.f64 (.f64 a (.f64 a (.f64 x x)))) 1))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(log1p.f64 (expm1.f64 (.f64 a (.f64 a (*.f64 x x)))))
(.f64 a (.f64 a (*.f64 x x)))
(pow.f64 (*.f64 a x) 2)
(-.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))))) 1)
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(pow.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))) 1)
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a x)) 2)
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x))))) 3)
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(pow.f64 (pow.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))) 3) 1/3)
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(sqrt.f64 (.f64 1/4 (pow.f64 (.f64 a (.f64 a (.f64 x x))) 2)))
(sqrt.f64 (.f64 (pow.f64 (.f64 a (.f64 a (.f64 x x))) 2) 1/4))
(sqrt.f64 (.f64 (pow.f64 (pow.f64 (.f64 a x) 2) 2) 1/4))
(fabs.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(log.f64 (pow.f64 (exp.f64 1/2) (.f64 a (.f64 a (*.f64 x x)))))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))))))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))) 3))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x))))))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(exp.f64 (log.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x))))))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (.f64 a (.f64 a (*.f64 x x))))) 1))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 a (.f64 a (.f64 x x))))))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 1/2 (pow.f64 (.f64 a x) 2))

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a)
✓	1.7b	(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))
0.0ms	x	@	inf	(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))
0.0ms	x	@	0	(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))
0.0ms	a	@	inf	(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))
0.0ms	x	@	-inf	(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))

rewrite84.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`*-commutative`
912×	`unswap-sqr`
712×	`swap-sqr`
612×	`associate-*r/`
458×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	229	48
2	2840	48

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))
(.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a)

Outputs

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

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

simplify87.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1498×	`associate-/l*`
954×	`*-commutative`
952×	`unswap-sqr`
892×	`distribute-lft-in`
892×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	244	5870
1	628	5270
2	2522	5270

Stop Event

1×	node limit

Counts

142 → 154

Calls

Call 1

Inputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 (.f64 x a) (.f64 x (.f64 a (.f64 a (*.f64 1/2 x)))))
(+.f64 (.f64 x a) (.f64 a (.f64 x (.f64 a (*.f64 1/2 x)))))
(+.f64 (.f64 x a) (.f64 (.f64 a (.f64 a (*.f64 1/2 x))) x))
(+.f64 (.f64 x a) (.f64 (.f64 x (.f64 a (*.f64 1/2 x))) a))
(+.f64 (.f64 (.f64 x a) 1) (.f64 (.f64 x a) (.f64 a (.f64 1/2 x))))
(+.f64 (.f64 1 (.f64 x a)) (.f64 (.f64 a (.f64 1/2 x)) (.f64 x a)))
(+.f64 (.f64 x (.f64 a (.f64 a (.f64 1/2 x)))) (*.f64 x a))
(+.f64 (.f64 a (.f64 x (.f64 a (.f64 1/2 x)))) (*.f64 x a))
(+.f64 (.f64 (.f64 x a) (.f64 a (.f64 1/2 x))) (.f64 (.f64 x a) 1))
(+.f64 (.f64 (.f64 a (.f64 a (.f64 1/2 x))) x) (*.f64 x a))
(+.f64 (.f64 (.f64 x (.f64 a (.f64 1/2 x))) a) (*.f64 x a))
(+.f64 (.f64 (.f64 a (.f64 1/2 x)) (.f64 x a)) (.f64 1 (.f64 x a)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a)))) 1)
(/.f64 (.f64 x (.f64 a (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1))) (fma.f64 a (*.f64 1/2 x) -1))
(/.f64 (.f64 x (+.f64 a (.f64 a (pow.f64 (.f64 a (.f64 1/2 x)) 3)))) (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1))))
(/.f64 (.f64 a (.f64 x (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1))) (fma.f64 a (*.f64 1/2 x) -1))
(/.f64 (.f64 a (+.f64 x (.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 3) x))) (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1))))
(/.f64 (.f64 (.f64 x a) 1) (/.f64 1 (+.f64 (.f64 a (.f64 1/2 x)) 1)))
(/.f64 (.f64 (.f64 x a) (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) (fma.f64 a (*.f64 1/2 x) -1))
(/.f64 (.f64 (.f64 x a) (+.f64 1 (pow.f64 (.f64 a (.f64 1/2 x)) 3))) (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1))))
(/.f64 (.f64 (.f64 x a) (-.f64 1 (pow.f64 (.f64 a (.f64 1/2 x)) 2))) (-.f64 1 (.f64 a (.f64 1/2 x))))
(/.f64 (.f64 (.f64 x a) (neg.f64 (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1))) (-.f64 1 (.f64 a (.f64 1/2 x))))
(/.f64 (.f64 (.f64 x a) (neg.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 1/2 x)) 3)))) (neg.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1)))))
(/.f64 (.f64 1 (.f64 x a)) (/.f64 1 (+.f64 (.f64 a (.f64 1/2 x)) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1) (.f64 x a)) (fma.f64 a (*.f64 1/2 x) -1))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 1/2 x)) 3)) (.f64 x a)) (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 a (.f64 1/2 x)) 2)) (.f64 x a)) (-.f64 1 (.f64 a (.f64 1/2 x))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) (.f64 x a)) (-.f64 1 (.f64 a (.f64 1/2 x))))
(/.f64 (.f64 (neg.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 1/2 x)) 3))) (.f64 x a)) (neg.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1)))))
(/.f64 (.f64 (.f64 a (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) x) (fma.f64 a (*.f64 1/2 x) -1))
(/.f64 (.f64 (+.f64 a (.f64 a (pow.f64 (.f64 a (.f64 1/2 x)) 3))) x) (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1))))
(/.f64 (.f64 (.f64 x (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) a) (fma.f64 a (*.f64 1/2 x) -1))
(/.f64 (.f64 (+.f64 x (.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 3) x)) a) (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1))))
(pow.f64 (.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a)) 1)
(pow.f64 (sqrt.f64 (.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a)) 2))
(log.f64 (pow.f64 (exp.f64 x) (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))))
(exp.f64 (log.f64 (.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))))
(+.f64 a (.f64 a (.f64 a (*.f64 1/2 x))))
(+.f64 a (.f64 1 (.f64 a (.f64 a (.f64 1/2 x)))))
(+.f64 a (.f64 (.f64 a (.f64 a (.f64 1/2 x))) 1))
(+.f64 (.f64 a (.f64 a (*.f64 1/2 x))) a)
(+.f64 (.f64 1 (.f64 a (.f64 a (.f64 1/2 x)))) a)
(+.f64 (.f64 (.f64 a (.f64 a (.f64 1/2 x))) 1) a)
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a))) 1)
(-.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (.f64 a (.f64 a (*.f64 1/2 x)))))
(-.f64 (+.f64 (.f64 a (.f64 a (*.f64 1/2 x))) (exp.f64 (log1p.f64 a))) 1)
(/.f64 a (/.f64 1 (+.f64 (.f64 a (.f64 1/2 x)) 1)))
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1) (/.f64 (fma.f64 a (*.f64 1/2 x) -1) a))
(/.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 1/2 x)) 3)) (/.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1))) a))
(/.f64 (+.f64 a (.f64 a (pow.f64 (.f64 a (.f64 1/2 x)) 3))) (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (*.f64 1/2 x) -1))))
(/.f64 (.f64 a (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) (fma.f64 a (.f64 1/2 x) -1))
(/.f64 (.f64 a (-.f64 1 (pow.f64 (.f64 a (.f64 1/2 x)) 2))) (-.f64 1 (.f64 a (*.f64 1/2 x))))
(/.f64 (.f64 a (neg.f64 (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1))) (-.f64 1 (.f64 a (*.f64 1/2 x))))
(/.f64 (.f64 a (neg.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 1/2 x)) 3)))) (neg.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (*.f64 1/2 x) -1)))))
(/.f64 (.f64 1 (.f64 a (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1))) (fma.f64 a (*.f64 1/2 x) -1))
(/.f64 (.f64 1 (+.f64 a (.f64 a (pow.f64 (.f64 a (.f64 1/2 x)) 3)))) (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1))))
(/.f64 (.f64 (.f64 a (sqrt.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1))) (sqrt.f64 (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1))) (sqrt.f64 (fma.f64 a (*.f64 1/2 x) -1)))
(/.f64 (.f64 (.f64 a (sqrt.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1))) (sqrt.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 1/2 x)) 3)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1)))))
(/.f64 (.f64 (.f64 a (pow.f64 (cbrt.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1)) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1))) (cbrt.f64 (fma.f64 a (*.f64 1/2 x) -1)))
(/.f64 (.f64 (.f64 a (pow.f64 (cbrt.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 1/2 x)) 3)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 a (.f64 1/2 x)) 2)) a) (-.f64 1 (.f64 a (*.f64 1/2 x))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) a) (-.f64 1 (.f64 a (*.f64 1/2 x))))
(/.f64 (.f64 (neg.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 1/2 x)) 3))) a) (neg.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (*.f64 1/2 x) -1)))))
(/.f64 (.f64 (.f64 a (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) 1) (fma.f64 a (*.f64 1/2 x) -1))
(/.f64 (.f64 (+.f64 a (.f64 a (pow.f64 (.f64 a (.f64 1/2 x)) 3))) 1) (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) (.f64 a (sqrt.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1)))) (sqrt.f64 (fma.f64 a (*.f64 1/2 x) -1)))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 1/2 x)) 3))) (.f64 a (sqrt.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1)))))
(/.f64 (/.f64 (.f64 a (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) 1) (fma.f64 a (.f64 1/2 x) -1))
(/.f64 (/.f64 (.f64 a (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) (sqrt.f64 (fma.f64 a (.f64 1/2 x) -1))) (sqrt.f64 (fma.f64 a (*.f64 1/2 x) -1)))
(/.f64 (/.f64 (.f64 a (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) (.f64 (cbrt.f64 (fma.f64 a (.f64 1/2 x) -1)) (cbrt.f64 (fma.f64 a (.f64 1/2 x) -1)))) (cbrt.f64 (fma.f64 a (*.f64 1/2 x) -1)))
(/.f64 (/.f64 (.f64 a (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) (+.f64 1 (sqrt.f64 (.f64 a (.f64 1/2 x))))) (-.f64 (sqrt.f64 (.f64 a (*.f64 1/2 x))) 1))
(/.f64 (/.f64 (+.f64 a (.f64 a (pow.f64 (.f64 a (.f64 1/2 x)) 3))) 1) (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (*.f64 1/2 x) -1))))
(/.f64 (/.f64 (+.f64 a (.f64 a (pow.f64 (.f64 a (.f64 1/2 x)) 3))) (sqrt.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (*.f64 1/2 x) -1)))))
(/.f64 (/.f64 (+.f64 a (.f64 a (pow.f64 (.f64 a (.f64 1/2 x)) 3))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1)))))) (cbrt.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1)))))
(pow.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a) 1)
(pow.f64 (sqrt.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a)) 2)
(pow.f64 (cbrt.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a)) 3)
(pow.f64 (pow.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 (.f64 a (.f64 1/2 x)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a) 3))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a)))
(exp.f64 (log.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a)))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a)))

Outputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 a (.f64 x (.f64 a (.f64 x 1/2))))
(.f64 a (.f64 x (.f64 x (.f64 a 1/2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 a (.f64 x (.f64 a (.f64 x 1/2))))
(.f64 a (.f64 x (.f64 x (.f64 a 1/2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 a (.f64 x (.f64 a (.f64 x 1/2))))
(.f64 a (.f64 x (.f64 x (.f64 a 1/2))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (.f64 a (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
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a
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(/.f64 a (/.f64 (-.f64 1 (.f64 a (.f64 x 1/2))) (-.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 2))))
(.f64 (/.f64 a (-.f64 1 (.f64 a (.f64 x 1/2)))) (-.f64 1 (pow.f64 (.f64 a (*.f64 x 1/2)) 2)))
(.f64 a (/.f64 (-.f64 1 (pow.f64 (.f64 x (.f64 a 1/2)) 2)) (+.f64 1 (.f64 x (*.f64 a -1/2)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) a) (-.f64 1 (.f64 a (*.f64 1/2 x))))
(/.f64 a (/.f64 (-.f64 1 (.f64 a (.f64 x 1/2))) (-.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 2))))
(.f64 (/.f64 a (-.f64 1 (.f64 a (.f64 x 1/2)))) (-.f64 1 (pow.f64 (.f64 a (*.f64 x 1/2)) 2)))
(.f64 a (/.f64 (-.f64 1 (pow.f64 (.f64 x (.f64 a 1/2)) 2)) (+.f64 1 (.f64 x (*.f64 a -1/2)))))
(/.f64 (.f64 (neg.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 1/2 x)) 3))) a) (neg.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (*.f64 1/2 x) -1)))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 3)) (+.f64 1 (.f64 a (.f64 (.f64 x 1/2) (fma.f64 a (*.f64 x 1/2) -1))))) a)
(/.f64 (fma.f64 a (pow.f64 (.f64 a (.f64 x 1/2)) 3) a) (fma.f64 (.f64 a (.f64 x 1/2)) (fma.f64 a (*.f64 x 1/2) -1) 1))
(/.f64 (fma.f64 a (pow.f64 (.f64 x (.f64 a 1/2)) 3) a) (fma.f64 (.f64 x (.f64 a 1/2)) (fma.f64 a (*.f64 x 1/2) -1) 1))
(/.f64 (.f64 (.f64 a (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) 1) (fma.f64 a (*.f64 1/2 x) -1))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) -1) (fma.f64 a (.f64 x 1/2) -1)) a)
(.f64 a (/.f64 (+.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) -1) (fma.f64 a (.f64 x 1/2) -1)))
(.f64 a (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 a 1/2)) 2) -1) (fma.f64 a (.f64 x 1/2) -1)))
(/.f64 (.f64 (+.f64 a (.f64 a (pow.f64 (.f64 a (.f64 1/2 x)) 3))) 1) (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 3)) (+.f64 1 (.f64 a (.f64 (.f64 x 1/2) (fma.f64 a (*.f64 x 1/2) -1))))) a)
(/.f64 (fma.f64 a (pow.f64 (.f64 a (.f64 x 1/2)) 3) a) (fma.f64 (.f64 a (.f64 x 1/2)) (fma.f64 a (*.f64 x 1/2) -1) 1))
(/.f64 (fma.f64 a (pow.f64 (.f64 x (.f64 a 1/2)) 3) a) (fma.f64 (.f64 x (.f64 a 1/2)) (fma.f64 a (*.f64 x 1/2) -1) 1))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) (.f64 a (sqrt.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1)))) (sqrt.f64 (fma.f64 a (*.f64 1/2 x) -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) -1)) (/.f64 (sqrt.f64 (fma.f64 a (.f64 x 1/2) -1)) (.f64 a (sqrt.f64 (fma.f64 a (*.f64 x 1/2) 1)))))
(.f64 (/.f64 (.f64 a (sqrt.f64 (fma.f64 a (.f64 x 1/2) 1))) (sqrt.f64 (fma.f64 a (.f64 x 1/2) -1))) (sqrt.f64 (+.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) -1)))
(.f64 (.f64 a (sqrt.f64 (fma.f64 a (.f64 x 1/2) 1))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x (.f64 a 1/2)) 2) -1)) (sqrt.f64 (fma.f64 a (.f64 x 1/2) -1))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 1/2 x)) 3))) (.f64 a (sqrt.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1)))))
(/.f64 (.f64 (.f64 a (sqrt.f64 (fma.f64 a (.f64 x 1/2) 1))) (sqrt.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 3)))) (sqrt.f64 (+.f64 1 (.f64 a (.f64 (.f64 x 1/2) (fma.f64 a (*.f64 x 1/2) -1))))))
(.f64 (/.f64 (.f64 a (sqrt.f64 (fma.f64 a (.f64 x 1/2) 1))) (sqrt.f64 (fma.f64 (.f64 a (.f64 x 1/2)) (fma.f64 a (.f64 x 1/2) -1) 1))) (hypot.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 3/2)))
(.f64 (/.f64 a (/.f64 (sqrt.f64 (fma.f64 (.f64 x (.f64 a 1/2)) (fma.f64 a (.f64 x 1/2) -1) 1)) (hypot.f64 1 (pow.f64 (.f64 x (.f64 a 1/2)) 3/2)))) (sqrt.f64 (fma.f64 a (*.f64 x 1/2) 1)))
(/.f64 (/.f64 (.f64 a (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) 1) (fma.f64 a (.f64 1/2 x) -1))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) -1) (fma.f64 a (.f64 x 1/2) -1)) a)
(.f64 a (/.f64 (+.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) -1) (fma.f64 a (.f64 x 1/2) -1)))
(.f64 a (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 a 1/2)) 2) -1) (fma.f64 a (.f64 x 1/2) -1)))
(/.f64 (/.f64 (.f64 a (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) (sqrt.f64 (fma.f64 a (.f64 1/2 x) -1))) (sqrt.f64 (fma.f64 a (*.f64 1/2 x) -1)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) -1) (fma.f64 a (.f64 x 1/2) -1)) a)
(.f64 a (/.f64 (+.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) -1) (fma.f64 a (.f64 x 1/2) -1)))
(.f64 a (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 a 1/2)) 2) -1) (fma.f64 a (.f64 x 1/2) -1)))
(/.f64 (/.f64 (.f64 a (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) (.f64 (cbrt.f64 (fma.f64 a (.f64 1/2 x) -1)) (cbrt.f64 (fma.f64 a (.f64 1/2 x) -1)))) (cbrt.f64 (fma.f64 a (*.f64 1/2 x) -1)))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) -1) (fma.f64 a (.f64 x 1/2) -1)) a)
(.f64 a (/.f64 (+.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) -1) (fma.f64 a (.f64 x 1/2) -1)))
(.f64 a (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 a 1/2)) 2) -1) (fma.f64 a (.f64 x 1/2) -1)))
(/.f64 (/.f64 (.f64 a (+.f64 (pow.f64 (.f64 a (.f64 1/2 x)) 2) -1)) (+.f64 1 (sqrt.f64 (.f64 a (.f64 1/2 x))))) (-.f64 (sqrt.f64 (.f64 a (*.f64 1/2 x))) 1))
(/.f64 (.f64 a (+.f64 (pow.f64 (.f64 a (.f64 x 1/2)) 2) -1)) (.f64 (+.f64 (sqrt.f64 (.f64 a (.f64 x 1/2))) -1) (+.f64 1 (sqrt.f64 (.f64 a (.f64 x 1/2))))))
(/.f64 a (.f64 (+.f64 -1 (sqrt.f64 (.f64 a (.f64 x 1/2)))) (/.f64 (+.f64 1 (sqrt.f64 (.f64 a (.f64 x 1/2)))) (+.f64 (pow.f64 (.f64 a (*.f64 x 1/2)) 2) -1))))
(.f64 (/.f64 a (+.f64 1 (sqrt.f64 (.f64 x (.f64 a 1/2))))) (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 a 1/2)) 2) -1) (+.f64 -1 (sqrt.f64 (.f64 x (*.f64 a 1/2))))))
(/.f64 (/.f64 (+.f64 a (.f64 a (pow.f64 (.f64 a (.f64 1/2 x)) 3))) 1) (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (*.f64 1/2 x) -1))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 3)) (+.f64 1 (.f64 a (.f64 (.f64 x 1/2) (fma.f64 a (*.f64 x 1/2) -1))))) a)
(/.f64 (fma.f64 a (pow.f64 (.f64 a (.f64 x 1/2)) 3) a) (fma.f64 (.f64 a (.f64 x 1/2)) (fma.f64 a (*.f64 x 1/2) -1) 1))
(/.f64 (fma.f64 a (pow.f64 (.f64 x (.f64 a 1/2)) 3) a) (fma.f64 (.f64 x (.f64 a 1/2)) (fma.f64 a (*.f64 x 1/2) -1) 1))
(/.f64 (/.f64 (+.f64 a (.f64 a (pow.f64 (.f64 a (.f64 1/2 x)) 3))) (sqrt.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (*.f64 1/2 x) -1)))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 3)) (+.f64 1 (.f64 a (.f64 (.f64 x 1/2) (fma.f64 a (*.f64 x 1/2) -1))))) a)
(/.f64 (fma.f64 a (pow.f64 (.f64 a (.f64 x 1/2)) 3) a) (fma.f64 (.f64 a (.f64 x 1/2)) (fma.f64 a (*.f64 x 1/2) -1) 1))
(/.f64 (fma.f64 a (pow.f64 (.f64 x (.f64 a 1/2)) 3) a) (fma.f64 (.f64 x (.f64 a 1/2)) (fma.f64 a (*.f64 x 1/2) -1) 1))
(/.f64 (/.f64 (+.f64 a (.f64 a (pow.f64 (.f64 a (.f64 1/2 x)) 3))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1)))))) (cbrt.f64 (+.f64 1 (.f64 (.f64 a (.f64 1/2 x)) (fma.f64 a (.f64 1/2 x) -1)))))
(.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 a (.f64 x 1/2)) 3)) (+.f64 1 (.f64 a (.f64 (.f64 x 1/2) (fma.f64 a (*.f64 x 1/2) -1))))) a)
(/.f64 (fma.f64 a (pow.f64 (.f64 a (.f64 x 1/2)) 3) a) (fma.f64 (.f64 a (.f64 x 1/2)) (fma.f64 a (*.f64 x 1/2) -1) 1))
(/.f64 (fma.f64 a (pow.f64 (.f64 x (.f64 a 1/2)) 3) a) (fma.f64 (.f64 x (.f64 a 1/2)) (fma.f64 a (*.f64 x 1/2) -1) 1))
(pow.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a) 1)
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(pow.f64 (sqrt.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a)) 2)
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(pow.f64 (cbrt.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a)) 3)
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(pow.f64 (pow.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a) 3) 1/3)
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(sqrt.f64 (pow.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a) 2))
(sqrt.f64 (pow.f64 (.f64 a (fma.f64 a (.f64 x 1/2) 1)) 2))
(fabs.f64 (.f64 a (fma.f64 a (.f64 x 1/2) 1)))
(fabs.f64 (fma.f64 a (.f64 x (.f64 a 1/2)) a))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 (.f64 a (.f64 1/2 x)) 1)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a))))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(cbrt.f64 (pow.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a) 3))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(cbrt.f64 (.f64 (pow.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) 3) (pow.f64 a 3)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(expm1.f64 (log1p.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(exp.f64 (log.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(log1p.f64 (expm1.f64 (.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a)))
(+.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))
(.f64 a (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 a (.f64 x (.f64 a 1/2)) a)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))
✓	0.3b	(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))
✓	1.6b	(/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
	6.8b	(.f64 (.f64 a a) (*.f64 1/2 x))

Compiler

Compiled 52 to 27 computations (48.1% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	inf	(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))
0.0ms	x	@	inf	(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))
0.0ms	a	@	-inf	(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))
0.0ms	a	@	0	(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))

rewrite97.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1502×	`associate-*l/`
1006×	`associate-/r*`
776×	`associate-/l*`
720×	`distribute-lft-in`
492×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	261	54
2	3567	54

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

Inputs
(/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))

Outputs

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

simplify179.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

894×	`associate-r`
822×	`distribute-lft-neg-in`
732×	`distribute-rgt-neg-in`
670×	`associate-l`
616×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	383	9298
1	1251	8098
2	5020	8024

Stop Event

1×	node limit

Counts

164 → 231

Calls

Call 1

Inputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(/.f64 1 a)
(+.f64 (*.f64 -1/2 x) (/.f64 1 a))
(+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 a) (.f64 1/4 (*.f64 a (pow.f64 x 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (pow.f64 x 3))) (+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 a) (.f64 1/4 (*.f64 a (pow.f64 x 2))))))
(/.f64 2 (*.f64 (pow.f64 a 2) x))
(-.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 a 2) x))) (.f64 4 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 4) (pow.f64 x 3)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 a 2) x)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 4) (pow.f64 x 3)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 a 2) x)))) (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 2)))) (.f64 16 (/.f64 1 (.f64 (pow.f64 a 5) (pow.f64 x 4))))))
(/.f64 2 (*.f64 (pow.f64 a 2) x))
(-.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 a 2) x))) (.f64 4 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 4) (pow.f64 x 3)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 a 2) x)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 4) (pow.f64 x 3)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 a 2) x)))) (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 2)))) (.f64 16 (/.f64 1 (.f64 (pow.f64 a 5) (pow.f64 x 4))))))
(/.f64 1 a)
(+.f64 (*.f64 -1/2 x) (/.f64 1 a))
(+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 a) (.f64 1/4 (*.f64 a (pow.f64 x 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 a 2) (pow.f64 x 3))) (+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 a) (.f64 1/4 (*.f64 a (pow.f64 x 2))))))
(/.f64 2 (*.f64 (pow.f64 a 2) x))
(-.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 a 2) x))) (.f64 4 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 4) (pow.f64 x 3)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 a 2) x)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 4) (pow.f64 x 3)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 a 2) x)))) (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 2)))) (.f64 16 (/.f64 1 (.f64 (pow.f64 a 5) (pow.f64 x 4))))))
(/.f64 2 (*.f64 (pow.f64 a 2) x))
(-.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 a 2) x))) (.f64 4 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 4) (pow.f64 x 3)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 a 2) x)))) (.f64 4 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 4) (pow.f64 x 3)))) (.f64 2 (/.f64 1 (.f64 (pow.f64 a 2) x)))) (+.f64 (.f64 4 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 2)))) (.f64 16 (/.f64 1 (.f64 (pow.f64 a 5) (pow.f64 x 4))))))
(+.f64 (.f64 x a) (.f64 x (.f64 (.f64 a a) (*.f64 1/2 x))))
(+.f64 (.f64 x (.f64 (.f64 a a) (.f64 1/2 x))) (*.f64 x a))
(+.f64 (.f64 a x) (.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) x))
(+.f64 (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) x) (*.f64 a x))
(+.f64 (.f64 1 (.f64 x a)) (.f64 1 (.f64 x (.f64 (.f64 a a) (*.f64 1/2 x)))))
(+.f64 (.f64 1 (.f64 x (.f64 (.f64 a a) (.f64 1/2 x)))) (.f64 1 (*.f64 x a)))
(+.f64 (.f64 1 (.f64 a x)) (.f64 1 (.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) x)))
(+.f64 (.f64 1 (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) x)) (.f64 1 (*.f64 a x)))
(+.f64 (.f64 (/.f64 x -1) (neg.f64 a)) (.f64 (/.f64 x -1) (neg.f64 (.f64 (.f64 a a) (*.f64 1/2 x)))))
(+.f64 (.f64 (/.f64 x -1) (neg.f64 (.f64 (.f64 a a) (.f64 1/2 x)))) (*.f64 (/.f64 x -1) (neg.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))) 1)
(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
(.f64 x (neg.f64 (neg.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))
(.f64 1 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))
(.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) x)
(.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) 1)
(.f64 (sqrt.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) (sqrt.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(.f64 (sqrt.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) (.f64 x (sqrt.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))
(.f64 (cbrt.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 2) (cbrt.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(.f64 -1 (.f64 x (neg.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))
(.f64 (neg.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) (neg.f64 x))
(.f64 (neg.f64 x) (neg.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) 2)) (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(.f64 (.f64 x (sqrt.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) (sqrt.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -2))) (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -2))) (.f64 x (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))
(.f64 (/.f64 x -1) (neg.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(.f64 (/.f64 (sqrt.f64 x) 1) (.f64 (/.f64 (sqrt.f64 x) 1) (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(.f64 (.f64 (/.f64 (sqrt.f64 x) 1) (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))) (sqrt.f64 x))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -2))) (.f64 (/.f64 (sqrt.f64 x) 1) (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (.f64 (/.f64 (cbrt.f64 x) 1) (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) -1/2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -2))) (cbrt.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -2))) 1) (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) (cbrt.f64 x))
(.f64 (/.f64 1 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))) (cbrt.f64 x))
(.f64 (/.f64 (.f64 x (sqrt.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))
(.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -2))) -1) (cbrt.f64 (neg.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (-.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3))) (+.f64 (.f64 a a) (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))
(.f64 (/.f64 (.f64 x (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3))) (-.f64 (pow.f64 a 4) (.f64 (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x))) (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x)))))) (+.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))) (.f64 (pow.f64 a 3) (.f64 1/2 x))))
(.f64 (/.f64 (.f64 x (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3))) (+.f64 (pow.f64 (.f64 a a) 3) (pow.f64 (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x))) 3))) (+.f64 (pow.f64 a 4) (-.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x))) (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x)))) (.f64 (.f64 a a) (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (*.f64 1/2 x)))))))
(pow.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))) 3)
(pow.f64 (pow.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) 3) 1/3)
(pow.f64 (/.f64 1 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))) -1)
(neg.f64 (.f64 x (neg.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) 3))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(exp.f64 (log.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(exp.f64 (.f64 (log.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(+.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (fma.f64 (neg.f64 (.f64 (.f64 a a) (.f64 1/2 x))) 1 (.f64 (.f64 a a) (.f64 1/2 x)))))
(+.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (fma.f64 (neg.f64 (.f64 a (.f64 1/2 x))) a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(+.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (fma.f64 (neg.f64 (.f64 1/2 x)) (.f64 a a) (.f64 (.f64 a a) (*.f64 1/2 x)))))
(+.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (fma.f64 (neg.f64 (.f64 a a)) (.f64 1/2 x) (.f64 (.f64 a a) (*.f64 1/2 x)))))
(+.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (fma.f64 (neg.f64 (.f64 a (sqrt.f64 (.f64 1/2 x)))) (.f64 a (sqrt.f64 (.f64 1/2 x))) (.f64 (.f64 a a) (*.f64 1/2 x)))))
(+.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 a a) (.f64 1/2 x)))) (pow.f64 (cbrt.f64 (.f64 (.f64 a a) (.f64 1/2 x))) 2) (.f64 (.f64 a a) (*.f64 1/2 x)))))
(+.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (fma.f64 (neg.f64 x) (.f64 a (.f64 a 1/2)) (.f64 (.f64 a a) (*.f64 1/2 x)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) a) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (neg.f64 (.f64 (.f64 a a) (*.f64 1/2 x)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) a) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (.f64 -1 (.f64 (.f64 a a) (.f64 1/2 x)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) a) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (.f64 (neg.f64 a) (.f64 a (*.f64 1/2 x)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) a) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (.f64 (neg.f64 (.f64 a a)) (*.f64 1/2 x))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) a) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (.f64 (neg.f64 (.f64 1/2 x)) (*.f64 a a))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) a) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (.f64 (neg.f64 (.f64 a (sqrt.f64 (.f64 1/2 x)))) (.f64 a (sqrt.f64 (*.f64 1/2 x))))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) a) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 a a) (.f64 1/2 x))) 2)) (cbrt.f64 (.f64 (.f64 a a) (*.f64 1/2 x))))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) a) (.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (.f64 (neg.f64 (.f64 a (*.f64 a 1/2))) x)))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3))) (.f64 a a)) (.f64 (/.f64 1 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3))) (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3))) (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x)))) (.f64 (/.f64 1 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3))) (.f64 a a)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))) 1)
(.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) 1)
(.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -1/2) (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) -1/2))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) (cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) -2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))
(.f64 -1 (/.f64 -1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(.f64 (/.f64 -1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) -1)
(.f64 (/.f64 1 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
(.f64 (/.f64 1 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3))) (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (*.f64 1/2 x)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -2)) 1) (/.f64 1 (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))
(.f64 (pow.f64 (sqrt.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) -1) (pow.f64 (sqrt.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))) -1))
(.f64 (/.f64 (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) (-.f64 (pow.f64 a 4) (.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))))) (+.f64 (.f64 a a) (.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 a 4))))
(.f64 (/.f64 (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) (-.f64 (pow.f64 (.f64 a a) 3) (pow.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) 3))) (+.f64 (pow.f64 a 4) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))) (.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))))))
(.f64 (/.f64 (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x)))) (-.f64 (pow.f64 (.f64 a a) 3) (.f64 (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (-.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) 3)))
(.f64 (/.f64 (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x)))) (+.f64 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3) 3))) (+.f64 (pow.f64 (.f64 a a) 3) (-.f64 (.f64 (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) (.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) 3)))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))))) (neg.f64 (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (neg.f64 (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (*.f64 1/2 x))))))
(.f64 (/.f64 1 (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 a a))) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))
(.f64 (/.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -1/2) (sqrt.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (sqrt.f64 (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x))))))
(.f64 (/.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -1/2) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))))) (sqrt.f64 (-.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))))) (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (*.f64 1/2 x)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -2)) (cbrt.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (cbrt.f64 (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -2)) (cbrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))))) (cbrt.f64 (-.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) -1)
(pow.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))) 1)
(pow.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) 3)) 1/3)
(sqrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))
(exp.f64 (.f64 (log.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))

Outputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x 1/2) a))
(.f64 x (fma.f64 a (.f64 a (*.f64 x 1/2)) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x 1/2) a))
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(.f64 (/.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -1/2) (sqrt.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (sqrt.f64 (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x))))))
(.f64 (/.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 x 1/2))) -1/2) (sqrt.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 x 1/2)) 3)))) (sqrt.f64 (fma.f64 a a (-.f64 (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))) (.f64 (pow.f64 a 3) (.f64 x 1/2))))))
(.f64 (/.f64 (pow.f64 (fma.f64 (.f64 a a) (.f64 x 1/2) a) -1/2) (sqrt.f64 (fma.f64 (pow.f64 a 6) (pow.f64 (.f64 x 1/2) 3) (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (fma.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 x -1/2))))))
(.f64 (/.f64 (pow.f64 (fma.f64 a (.f64 a (.f64 x 1/2)) a) -1/2) (sqrt.f64 (fma.f64 (pow.f64 a 6) (pow.f64 (.f64 x 1/2) 3) (pow.f64 a 3)))) (sqrt.f64 (fma.f64 a a (.f64 x (-.f64 (.f64 x (.f64 1/4 (pow.f64 a 4))) (.f64 1/2 (pow.f64 a 3)))))))
(.f64 (/.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -1/2) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))))) (sqrt.f64 (-.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(.f64 (/.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 x 1/2))) -1/2) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))))) (sqrt.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 x -1/2)))))
(.f64 (/.f64 (pow.f64 (fma.f64 (.f64 a a) (.f64 x 1/2) a) -1/2) (sqrt.f64 (fma.f64 a a (.f64 (pow.f64 a 4) (.f64 (.f64 x x) -1/4))))) (sqrt.f64 (-.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))))
(.f64 (/.f64 (pow.f64 (fma.f64 a (.f64 a (.f64 x 1/2)) a) -1/2) (sqrt.f64 (fma.f64 a a (.f64 (.f64 x x) (.f64 (pow.f64 a 4) -1/4))))) (sqrt.f64 (-.f64 a (.f64 a (.f64 a (*.f64 x 1/2))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))))) (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
(/.f64 (.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 x -1/2)))) (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))))
(/.f64 (-.f64 a (.f64 1/2 (.f64 x (.f64 a a)))) (fma.f64 a a (.f64 (pow.f64 a 4) (.f64 (.f64 x x) -1/4))))
(/.f64 (-.f64 a (.f64 a (.f64 a (.f64 x 1/2)))) (fma.f64 a a (.f64 (.f64 x x) (.f64 (pow.f64 a 4) -1/4))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (*.f64 1/2 x)))))
(/.f64 (.f64 1 (fma.f64 a a (-.f64 (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))) (.f64 (pow.f64 a 3) (.f64 x 1/2))))) (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (*.f64 x 1/2)) 3)))
(/.f64 (fma.f64 a a (fma.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 x -1/2)))) (fma.f64 (pow.f64 a 6) (pow.f64 (*.f64 x 1/2) 3) (pow.f64 a 3)))
(/.f64 (fma.f64 a a (.f64 x (-.f64 (.f64 x (.f64 1/4 (pow.f64 a 4))) (.f64 1/2 (pow.f64 a 3))))) (fma.f64 (pow.f64 a 6) (pow.f64 (*.f64 x 1/2) 3) (pow.f64 a 3)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -2)) (cbrt.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (cbrt.f64 (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 x 1/2))) -2)) (cbrt.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 x 1/2)) 3)))) (cbrt.f64 (fma.f64 a a (-.f64 (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))) (.f64 (pow.f64 a 3) (.f64 x 1/2))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 a a) (.f64 x 1/2) a) -2)) (cbrt.f64 (fma.f64 (pow.f64 a 6) (pow.f64 (.f64 x 1/2) 3) (pow.f64 a 3)))) (cbrt.f64 (fma.f64 a a (fma.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 x -1/2))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a (.f64 a (.f64 x 1/2)) a) -2)) (cbrt.f64 (fma.f64 (pow.f64 a 6) (pow.f64 (.f64 x 1/2) 3) (pow.f64 a 3)))) (cbrt.f64 (fma.f64 a a (.f64 x (-.f64 (.f64 x (.f64 1/4 (pow.f64 a 4))) (.f64 1/2 (pow.f64 a 3)))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) -2)) (cbrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))))) (cbrt.f64 (-.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (.f64 x 1/2))) -2)) (cbrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))))) (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 x -1/2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 a a) (.f64 x 1/2) a) -2)) (cbrt.f64 (fma.f64 a a (.f64 (pow.f64 a 4) (.f64 (.f64 x x) -1/4))))) (cbrt.f64 (-.f64 a (.f64 1/2 (.f64 x (*.f64 a a))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 a (.f64 a (.f64 x 1/2)) a) -2)) (cbrt.f64 (fma.f64 a a (.f64 (.f64 x x) (.f64 (pow.f64 a 4) -1/4))))) (cbrt.f64 (-.f64 a (.f64 a (.f64 a (*.f64 x 1/2))))))
(pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) -1)
(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 x 1/2))))
(/.f64 1 (fma.f64 (.f64 a a) (.f64 x 1/2) a))
(/.f64 1 (fma.f64 a (.f64 a (.f64 x 1/2)) a))
(pow.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))) 1)
(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 x 1/2))))
(/.f64 1 (fma.f64 (.f64 a a) (.f64 x 1/2) a))
(/.f64 1 (fma.f64 a (.f64 a (.f64 x 1/2)) a))
(pow.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) -1/2) 2)
(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 x 1/2))))
(/.f64 1 (fma.f64 (.f64 a a) (.f64 x 1/2) a))
(/.f64 1 (fma.f64 a (.f64 a (.f64 x 1/2)) a))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) 3)
(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 x 1/2))))
(/.f64 1 (fma.f64 (.f64 a a) (.f64 x 1/2) a))
(/.f64 1 (fma.f64 a (.f64 a (.f64 x 1/2)) a))
(pow.f64 (/.f64 1 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 x 1/2))) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (.f64 a a) (.f64 x 1/2) a) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 a (.f64 a (.f64 x 1/2)) a) 3)))
(sqrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) -2))
(sqrt.f64 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 x 1/2))) -2))
(sqrt.f64 (pow.f64 (fma.f64 (.f64 a a) (.f64 x 1/2) a) -2))
(sqrt.f64 (pow.f64 (fma.f64 a (.f64 a (.f64 x 1/2)) a) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))
(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 x 1/2))))
(/.f64 1 (fma.f64 (.f64 a a) (.f64 x 1/2) a))
(/.f64 1 (fma.f64 a (.f64 a (.f64 x 1/2)) a))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 x 1/2))))
(/.f64 1 (fma.f64 (.f64 a a) (.f64 x 1/2) a))
(/.f64 1 (fma.f64 a (.f64 a (.f64 x 1/2)) a))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 x 1/2))) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (.f64 a a) (.f64 x 1/2) a) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 a (.f64 a (.f64 x 1/2)) a) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))
(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 x 1/2))))
(/.f64 1 (fma.f64 (.f64 a a) (.f64 x 1/2) a))
(/.f64 1 (fma.f64 a (.f64 a (.f64 x 1/2)) a))
(exp.f64 (neg.f64 (log.f64 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))
(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 x 1/2))))
(/.f64 1 (fma.f64 (.f64 a a) (.f64 x 1/2) a))
(/.f64 1 (fma.f64 a (.f64 a (.f64 x 1/2)) a))
(exp.f64 (.f64 (log.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) -1))
(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 x 1/2))))
(/.f64 1 (fma.f64 (.f64 a a) (.f64 x 1/2) a))
(/.f64 1 (fma.f64 a (.f64 a (.f64 x 1/2)) a))
(exp.f64 (.f64 (neg.f64 (log.f64 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) 1))
(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 x 1/2))))
(/.f64 1 (fma.f64 (.f64 a a) (.f64 x 1/2) a))
(/.f64 1 (fma.f64 a (.f64 a (.f64 x 1/2)) a))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))
(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 x 1/2))))
(/.f64 1 (fma.f64 (.f64 a a) (.f64 x 1/2) a))
(/.f64 1 (fma.f64 a (.f64 a (.f64 x 1/2)) a))

localize46.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
	0.3b	(/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))
✓	1.7b	(.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))
	6.8b	(.f64 (.f64 a a) (*.f64 1/2 x))

Compiler

Compiled 67 to 37 computations (44.8% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))
0.0ms	x	@	inf	(.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))
0.0ms	x	@	-inf	(.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))
0.0ms	a	@	inf	(.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))
0.0ms	a	@	-inf	(.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))

rewrite107.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1818×	`associate-*r/`
1484×	`associate-*l/`
786×	`associate-/r*`
546×	`associate-/l*`
346×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	286	48
2	3523	48

Stop Event

1×	node limit

Counts

2 → 222

Calls

Call 1

Inputs
(.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))
(/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 a a) (*.f64 1/2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (*.f64 a a) (*.f64 1/2 x))) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x a) (*.f64 x (*.f64 (*.f64 a a) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 1/2 x)) x) (*.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1 (/.f64 1 (+.f64 a (*.f64 (*.f64 a a) (*.f64 1/2 x)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (+.f64 a (*.f64 (*.f64 a a) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (neg.f64 (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (*.f64 (*.f64 a a) (*.f64 1/2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 (+.f64 a (*.f64 (*.f64 a a) (*.f64 1/2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 1 (/.f64 1 (+.f64 a (*.f64 (*.f64 a a) (*.f64 1/2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 1 (*.f64 (/.f64 1 (/.f64 1 (+.f64 a (*.f64 (*.f64 a a) (*.f64 1/2 x))))) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (/.f64 1 (+.f64 a (*.f64 (*.f64 a a) (*.f64 1/2 x)))) (*.f64 (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (/.f64 1 (+.f64 a (*.f64 (*.f64 a a) (*.f64 1/2 x)))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 1 (+.f64 a (*.f64 (*.f64 a a) (*.f64 1/2 x))))) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (/.f64 (/.f64 1 (+.f64 a (*.f64 (*.f64 a a) (*.f64 1/2 x)))) (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 1 (+.f64 a (*.f64 (*.f64 a a) (*.f64 1/2 x)))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 1 (+.f64 a (*.f64 (*.f64 a a) (*.f64 1/2 x)))) (*.f64 (cbrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 a 4))) (/.f64 (-.f64 a (*.f64 (*.f64 a a) (*.f64 1/2 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (*.f64 (*.f64 a a) (*.f64 1/2 x)) 3)) (/.f64 (fma.f64 a a (-.f64 (*.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 a 4)) (*.f64 (pow.f64 a 3) (*.f64 1/2 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (*.f64 (*.f64 a a) (*.f64 1/2 x)))))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 1 (+.f64 a (*.f64 (*.f64 a a) (*.f64 1/2 x))))) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 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simplify196.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1428×	`associate-/l*`
864×	`associate-/l/`
808×	`associate-r`
682×	`associate-l`
594×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	544	13620
1	1435	12510
2	7222	12510

Stop Event

1×	node limit

Counts

270 → 306

Calls

Call 1

Inputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 (.f64 a x) (.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) x))
(+.f64 (.f64 x (.f64 (.f64 a a) (.f64 1/2 x))) (*.f64 x a))
(+.f64 (.f64 x a) (.f64 x (.f64 (.f64 a a) (*.f64 1/2 x))))
(+.f64 (.f64 (.f64 (.f64 a a) (.f64 1/2 x)) x) (*.f64 a x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))))) 1)
(/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(/.f64 x (neg.f64 (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))))
(/.f64 1 (/.f64 1 (.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))))
(/.f64 (.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 1)
(/.f64 (sqrt.f64 x) (/.f64 1 (.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) (sqrt.f64 x))))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) (.f64 (sqrt.f64 x) 1)))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))) (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) (.f64 (cbrt.f64 x) 1)))
(/.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))) (/.f64 (-.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))) x))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) (/.f64 (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x)))) x))
(/.f64 -1 (/.f64 (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))) x))
(/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) (sqrt.f64 x))) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))) (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 2)) (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))))
(/.f64 (.f64 (sqrt.f64 x) 1) (/.f64 1 (.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) (sqrt.f64 x))))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) x) (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) -2)))
(/.f64 (.f64 x (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
(/.f64 (.f64 x (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3))) (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (*.f64 1/2 x)))))
(/.f64 (.f64 x -1) (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))))
(/.f64 (.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))) x) (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) x) (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (*.f64 1/2 x)))))
(/.f64 (.f64 -1 x) (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))))
(/.f64 (/.f64 x 1) (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(/.f64 (.f64 x (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))) (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) -1/2))
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))))
(/.f64 (/.f64 x -1) (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(/.f64 (neg.f64 x) (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(/.f64 (.f64 x (neg.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))) -1)
(/.f64 (.f64 x (neg.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))))) (neg.f64 (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(/.f64 (.f64 x (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (neg.f64 (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (*.f64 1/2 x))))))
(/.f64 (.f64 x (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 a a))) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))
(/.f64 (.f64 1 (.f64 x (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))))) (-.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))
(/.f64 (.f64 1 (.f64 x (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x)))))
(/.f64 (.f64 1 (.f64 x -1)) (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(/.f64 (.f64 1 (.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))) x)) (-.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))
(/.f64 (.f64 1 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) x)) (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x)))))
(/.f64 (.f64 1 (.f64 -1 x)) (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(/.f64 (.f64 1 (/.f64 x 1)) (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(/.f64 (.f64 1 (.f64 x (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))))) (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -1/2))
(/.f64 (.f64 1 (/.f64 x (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -2)))) (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))))
(/.f64 (.f64 1 (neg.f64 x)) (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))))
(/.f64 (.f64 (sqrt.f64 (.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))) (sqrt.f64 x)) (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -1/2))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 2)) (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))))
(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))) 1) (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -1/2))
(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))))) (sqrt.f64 (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))))
(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))) (sqrt.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (sqrt.f64 (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (*.f64 1/2 x))))))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 2)) 1) (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 2)) -1) (cbrt.f64 (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 2)) (cbrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))))) (cbrt.f64 (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 2)) (cbrt.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (cbrt.f64 (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (*.f64 1/2 x))))))
(/.f64 (.f64 (/.f64 x 1) 1) (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(/.f64 (.f64 (/.f64 x 1) 1) (neg.f64 (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))))
(/.f64 (.f64 (/.f64 x 1) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))) (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) -1/2))
(/.f64 (.f64 (/.f64 x 1) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 2)) (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))))
(/.f64 (.f64 (/.f64 x 1) (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)))) (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
(/.f64 (.f64 (/.f64 x 1) (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3))) (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (*.f64 1/2 x)))))
(/.f64 (.f64 (/.f64 x 1) -1) (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))))
(/.f64 (.f64 (/.f64 x 1) (neg.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))) -1)
(/.f64 (.f64 (/.f64 x 1) (neg.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))))) (neg.f64 (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(/.f64 (.f64 (/.f64 x 1) (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (neg.f64 (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (*.f64 1/2 x))))))
(/.f64 (.f64 (/.f64 x 1) (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 a a))) (-.f64 (.f64 (.f64 a a) (.f64 1/2 x)) a))
(/.f64 (.f64 (/.f64 x (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -2))) 1) (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))))
(/.f64 (.f64 (/.f64 x (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -2))) -1) (cbrt.f64 (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))))
(/.f64 (.f64 (/.f64 x (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -2))) (cbrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))))) (cbrt.f64 (-.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(/.f64 (.f64 (/.f64 x (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -2))) (cbrt.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (cbrt.f64 (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (.f64 1/2 x))))))
(/.f64 (.f64 (/.f64 x -1) 1) (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))))
(/.f64 (.f64 (/.f64 x -1) -1) (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(/.f64 (.f64 (/.f64 x -1) (neg.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))))) (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
(/.f64 (.f64 (/.f64 x -1) (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)))) (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (*.f64 1/2 x)))))
(/.f64 (.f64 (/.f64 (sqrt.f64 x) 1) (sqrt.f64 x)) (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(/.f64 (.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -2))) (sqrt.f64 x)) (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))))
(/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cbrt.f64 x)) (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
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(/.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))))
(/.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -2))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))))
(/.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -2))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))))
(/.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -2))) (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -1/2))) (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) -1/2)))
(/.f64 (/.f64 (neg.f64 x) 1) (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -1/2)) (neg.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -1/2)))
(/.f64 (/.f64 (neg.f64 x) (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -2))) (neg.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))))))
(/.f64 (/.f64 (neg.f64 x) -1) (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))))) (sqrt.f64 (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))))
(/.f64 (/.f64 (neg.f64 x) (.f64 (cbrt.f64 (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))) (cbrt.f64 (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))))) (cbrt.f64 (/.f64 -1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))))
(/.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -1/2))) (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -1/2))
(/.f64 (/.f64 (neg.f64 x) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -2)))) (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))))
(pow.f64 (.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 1)
(pow.f64 (sqrt.f64 (.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))) 2)
(pow.f64 (cbrt.f64 (.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))) 3)
(pow.f64 (pow.f64 (.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))) x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))))))
(cbrt.f64 (pow.f64 (.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))))
(exp.f64 (log.f64 (.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))) 1))
(log1p.f64 (expm1.f64 (.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))))
(+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))
(+.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) a)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a a) (*.f64 1/2 x)))) (-.f64 1 a))
(-.f64 (exp.f64 (log1p.f64 a)) (-.f64 1 (.f64 (.f64 a a) (*.f64 1/2 x))))
(-.f64 (/.f64 a (/.f64 (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) a)) (/.f64 (.f64 (.f64 x x) 1/4) (/.f64 (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x))) (pow.f64 a 4))))
(-.f64 (+.f64 a (exp.f64 (log1p.f64 (.f64 (.f64 a a) (*.f64 1/2 x))))) 1)
(-.f64 (+.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) (exp.f64 (log1p.f64 a))) 1)
(.f64 1 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))
(.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) 1)
(.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 2) (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))) (/.f64 1 (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) (/.f64 1 (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (*.f64 1/2 x))))))
(.f64 -1 (neg.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))))
(.f64 (pow.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -1/2) -1) (pow.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) -1/2) -1))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))) -1))
(pow.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))) -1)
(pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) 1)
(pow.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) 2))
(log.f64 (exp.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))))
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(exp.f64 (log.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))) -1))
(exp.f64 (.f64 (log.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(fma.f64 1 a (.f64 (.f64 a a) (*.f64 1/2 x)))
(fma.f64 1 (.f64 (.f64 a a) (*.f64 1/2 x)) a)
(fma.f64 a (.f64 (.f64 a 1/2) x) a)
(fma.f64 (.f64 a a) (.f64 1/2 x) a)
(fma.f64 (.f64 1/2 x) (.f64 a a) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 (.f64 a a) (*.f64 1/2 x)))
(fma.f64 (.f64 a (sqrt.f64 (.f64 1/2 x))) (.f64 a (sqrt.f64 (.f64 1/2 x))) a)
(fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))) (cbrt.f64 (.f64 (.f64 a a) (.f64 1/2 x))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (.f64 (.f64 a a) (*.f64 1/2 x)))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)

Outputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 a (.f64 (.f64 x (.f64 a 1/2)) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 a (.f64 (.f64 x (.f64 a 1/2)) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 a (.f64 (.f64 x (.f64 a 1/2)) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
(.f64 a (.f64 (.f64 x (.f64 a 1/2)) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a (*.f64 a 1/2)) x a))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 (.f64 1/2 (*.f64 a a)) x)
(.f64 x (.f64 a (*.f64 a 1/2)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 (.f64 1/2 (*.f64 a a)) x)
(.f64 x (.f64 a (*.f64 a 1/2)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 (.f64 1/2 (*.f64 a a)) x)
(.f64 x (.f64 a (*.f64 a 1/2)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 (.f64 1/2 (*.f64 a a)) x)
(.f64 x (.f64 a (*.f64 a 1/2)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(+.f64 (.f64 a x) (.f64 (.f64 (.f64 a a) (*.f64 1/2 x)) x))
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(.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))) (/.f64 1 (-.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))
(-.f64 (.f64 (/.f64 a (-.f64 a (.f64 (.f64 (.f64 a a) 1/2) x))) a) (.f64 (/.f64 (.f64 x (.f64 x 1/4)) (-.f64 a (.f64 (.f64 (.f64 a a) 1/2) x))) (pow.f64 a 4)))
(/.f64 (fma.f64 a a (.f64 (pow.f64 a 4) (.f64 (.f64 x x) -1/4))) (-.f64 a (.f64 x (.f64 a (.f64 a 1/2)))))
(.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 a a) (.f64 1/2 x)) 3)) (/.f64 1 (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4)) (.f64 (pow.f64 a 3) (*.f64 1/2 x))))))
(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 (.f64 (.f64 a a) 1/2) x) 3)) 1) (fma.f64 a a (-.f64 (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))) (.f64 (*.f64 x 1/2) (pow.f64 a 3)))))
(/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 x (.f64 a (.f64 a 1/2))) 3)) (fma.f64 a a (-.f64 (.f64 1/4 (.f64 (.f64 x x) (pow.f64 a 4))) (.f64 x (.f64 1/2 (pow.f64 a 3))))))
(.f64 -1 (neg.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(.f64 (pow.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -1/2) -1) (pow.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) -1/2) -1))
(pow.f64 (pow.f64 (fma.f64 (.f64 a a) (.f64 x 1/2) a) -1/2) -2)
(pow.f64 (pow.f64 (fma.f64 (.f64 a (.f64 a 1/2)) x a) -1/2) -2)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))) -1))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (.f64 a a) (.f64 x 1/2) a) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 (.f64 a a) (*.f64 x 1/2) a)))))
(/.f64 (cbrt.f64 (fma.f64 (.f64 a (.f64 a 1/2)) x a)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 a (.f64 a 1/2)) x a) -2)))
(pow.f64 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))) -1)
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) 1)
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(pow.f64 (sqrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))) 2)
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))) 3)
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(pow.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) 3) 1/3)
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(sqrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (.f64 a a) (.f64 x 1/2) a) 2))
(fabs.f64 (fma.f64 (.f64 a (.f64 a 1/2)) x a))
(log.f64 (exp.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))))))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x))))) 3))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(exp.f64 (log.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))) -1))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(exp.f64 (.f64 (log.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x)))))) 1))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(fma.f64 1 a (.f64 (.f64 a a) (*.f64 1/2 x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(fma.f64 1 (.f64 (.f64 a a) (*.f64 1/2 x)) a)
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(fma.f64 a (.f64 (.f64 a 1/2) x) a)
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(fma.f64 (.f64 a a) (.f64 1/2 x) a)
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(fma.f64 (.f64 1/2 x) (.f64 a a) a)
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 (.f64 a a) (*.f64 1/2 x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(fma.f64 (.f64 a (sqrt.f64 (.f64 1/2 x))) (.f64 a (sqrt.f64 (.f64 1/2 x))) a)
(fma.f64 (.f64 a (sqrt.f64 (.f64 x 1/2))) (.f64 a (sqrt.f64 (.f64 x 1/2))) a)
(fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a 4))) (cbrt.f64 (.f64 (.f64 a a) (.f64 1/2 x))) a)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) (cbrt.f64 (.f64 (.f64 (.f64 a a) 1/2) x)) a)
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 (.f64 x x) (pow.f64 a 4)))) (cbrt.f64 (.f64 x (.f64 a (.f64 a 1/2)))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (.f64 (.f64 a a) (*.f64 1/2 x)))
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(+.f64 a (.f64 (.f64 1/2 (*.f64 a a)) x))

eval998.0ms (12.7%)

Compiler: Compiled 50288 to 29921 computations (40.5% saved)

prune381.0ms (4.8%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1258	7	1265
Fresh	1	0	1
Picked	1	0	1
Done	3	5	8
Total	1263	12	1275

Error

Counts

1275 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	35.7b	(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/9) 3) 3)
	35.7b	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/6)) 18)
✓	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	23.5b	(/.f64 x (/.f64 1 a))
▶	19.9b	(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
▶	1.1b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
▶	23.5b	(*.f64 x (/.f64 1 (/.f64 1 a)))
▶	19.8b	(.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
✓	26.4b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
✓	23.4b	(*.f64 a x)
✓	50.5b	(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
✓	0.0b	(expm1.f64 (*.f64 a x))

Compiler

Compiled 212 to 153 computations (27.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)
	0.4b	(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
	0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
	11.5b	(cbrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 61 to 21 computations (65.6% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)
2.0ms	a	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)
0.0ms	a	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)
0.0ms	x	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)
0.0ms	x	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1972×	`add-sqr-sqrt`
1934×	`*-un-lft-identity`
1818×	`add-cube-cbrt`
1794×	`add-cbrt-cube`
214×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	262	21
2	2696	21

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)

Outputs

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

simplify112.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

942×	`distribute-lft-out`
834×	`associate-r`
722×	`associate-+r+`
674×	`associate-+l+`
628×	`distribute-rgt-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	245	6633
1	820	4849
2	3380	3933
3	6165	3401

Stop Event

1×	node limit

Counts

47 → 61

Calls

Call 1

Inputs
(.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))
(+.f64 (.f64 2 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x))) (.f64 1/18 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x)))))))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))
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(+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 4)) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/9 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x)))) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/162 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (+.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))))))) (pow.f64 (+.f64 (.f64 1/9 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))) 2)) (pow.f64 x 2)) (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/9 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))) (+.f64 (.f64 1/162 (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (+.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))))) (.f64 2 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 a (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (.f64 2 (.f64 (+.f64 (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/34992 (pow.f64 a 3)) (.f64 1/324 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/34992 (pow.f64 a 3)) (.f64 1/324 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (+.f64 (.f64 1/18 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))) (.f64 1/9 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))) (pow.f64 x 3)))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 2) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 2) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 2) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 2) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 2) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 2) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 2) 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 2) 1/3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2))) 1)
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 2) 1)
(.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 2))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 1/6) 6) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 1/6) 6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 6))
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 4))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)))
(exp.f64 (.f64 2 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 6))
(exp.f64 (.f64 (.f64 2 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)))

Outputs
(.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))
(*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 4))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 6)
(+.f64 (.f64 2 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x))) (.f64 1/18 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x)))))))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 4) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))
(fma.f64 2 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))))) 1/6)))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 4)))
(fma.f64 2 (.f64 a (.f64 (.f64 (.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) 1/6) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) 3))
(fma.f64 2 (.f64 a (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 6))
(fma.f64 2 (.f64 a (.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 1/3)) (.f64 x 1/6)) (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 1/3)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 6))
(+.f64 (.f64 (+.f64 (pow.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x))) (.f64 1/18 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x)))) 2) (.f64 2 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 1/162 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 x 2)))) (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2))) (.f64 1/324 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 x 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) (pow.f64 a 2)) (+.f64 (.f64 2 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x))) (.f64 1/18 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x)))))))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 4) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))
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(+.f64 (fma.f64 2 (.f64 a (.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 1/3)) (.f64 x 1/6)) (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 1/3)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 6)) (.f64 (.f64 x x) (+.f64 (fma.f64 2 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 1/3)) (.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 1/3)) (+.f64 (.f64 (.f64 a a) 1/108) (.f64 3 (.f64 (.f64 1/162 a) a))))) (pow.f64 (.f64 a (.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 1/3)) 1/6)) 2)) (.f64 (.f64 2 (fma.f64 (.f64 a (.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 1/3)) 1/6)) (.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 1/3)) (+.f64 (.f64 (.f64 a a) 1/108) (.f64 3 (.f64 (.f64 1/162 a) a)))) (.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 1/3)) (+.f64 (.f64 a (+.f64 (.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 1/3)) (+.f64 (.f64 1/324 (.f64 a a)) (.f64 (.f64 a a) 1/81))) 1/18) (.f64 (.f64 (.f64 a a) (.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 1/3)) 1/162)) 1/9))) (+.f64 (.f64 a (.f64 (.f64 (.f64 a a) (.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 1/3)) 1/162)) 1/9)) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 3 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 x) (log.f64 a)) 2/9)) (fma.f64 1/324 (.f64 (pow.f64 a 3) 1/12) (*.f64 1/34992 (pow.f64 a 3))))))))))) x))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 2)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 2)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 2)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 2)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 2)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 2)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 2)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 2))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 2) 1/3))
(.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 2)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2))) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 2) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 2))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) (sqrt.f64 (expm1.f64 (*.f64 x a))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 4)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 1/6) 6) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 1/6) 6))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 1/6) 12)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 6))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 4))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(log.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2))))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 2)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(exp.f64 (.f64 2 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3))))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 6))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))) 1))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (/.f64 1 a))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1414×	`add-sqr-sqrt`
1398×	`*-un-lft-identity`
1302×	`add-cube-cbrt`
1286×	`add-cbrt-cube`
1272×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	145	7
2	1894	7

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(/.f64 x (/.f64 1 a))

Outputs

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

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1524×	`associate-r`
1374×	`distribute-lft-in`
1232×	`associate-l`
928×	`associate-+r+`
706×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	512
1	238	482
2	904	482
3	5299	482

Stop Event

1×	node limit

Counts

58 → 39

Calls

Call 1

Inputs
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(-.f64 (+.f64 1 (/.f64 x (/.f64 1 a))) 1)
(*.f64 x a)
(*.f64 1 (/.f64 x (/.f64 1 a)))
(*.f64 (/.f64 x (/.f64 1 a)) 1)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) a))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 1 a))) (sqrt.f64 (/.f64 x (/.f64 1 a))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) a))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 1 a))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 1 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 1 a))) 2) (cbrt.f64 (/.f64 x (/.f64 1 a))))
(*.f64 a x)
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 a)))
(.f64 (.f64 x (sqrt.f64 a)) (sqrt.f64 a))
(.f64 (.f64 x (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(*.f64 (/.f64 1 (pow.f64 a -1/2)) (/.f64 x (pow.f64 a -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 a -2))) (/.f64 x (/.f64 1 (cbrt.f64 a))))
(*.f64 (/.f64 x -1) (neg.f64 a))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 a)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 a -2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 a -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 a -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 a -2))) (cbrt.f64 (/.f64 x (/.f64 1 a))))
(pow.f64 (/.f64 x (/.f64 1 a)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 1 a))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 1 a))) 3)
(pow.f64 (pow.f64 (/.f64 x (/.f64 1 a)) 3) 1/3)
(pow.f64 (/.f64 1 (/.f64 x (/.f64 1 a))) -1)
(neg.f64 (/.f64 x (/.f64 -1 a)))
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 1 a)) 2))
(log.f64 (exp.f64 (/.f64 x (/.f64 1 a))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 1 a)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 1 a))))
(exp.f64 (log.f64 (/.f64 x (/.f64 1 a))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 1 a))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 1 a))))

Outputs
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(*.f64 a x)
(-.f64 (+.f64 1 (/.f64 x (/.f64 1 a))) 1)
(*.f64 a x)
(*.f64 x a)
(*.f64 a x)
(*.f64 1 (/.f64 x (/.f64 1 a)))
(*.f64 a x)
(*.f64 (/.f64 x (/.f64 1 a)) 1)
(*.f64 a x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) a))
(*.f64 a x)
(*.f64 (sqrt.f64 (/.f64 x (/.f64 1 a))) (sqrt.f64 (/.f64 x (/.f64 1 a))))
(*.f64 a x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) a))
(*.f64 a x)
(*.f64 (cbrt.f64 (/.f64 x (/.f64 1 a))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 1 a))) 2))
(*.f64 a x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 1 a))) 2) (cbrt.f64 (/.f64 x (/.f64 1 a))))
(*.f64 a x)
(*.f64 a x)
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 a)))
(*.f64 a x)
(.f64 (.f64 x (sqrt.f64 a)) (sqrt.f64 a))
(*.f64 a x)
(.f64 (.f64 x (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(*.f64 a x)
(*.f64 (/.f64 1 (pow.f64 a -1/2)) (/.f64 x (pow.f64 a -1/2)))
(*.f64 a x)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 a -2))) (/.f64 x (/.f64 1 (cbrt.f64 a))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 a -2))) (.f64 (/.f64 x 1) (cbrt.f64 a)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 a -2))) (cbrt.f64 a))
(*.f64 (cbrt.f64 a) (/.f64 x (cbrt.f64 (pow.f64 a -2))))
(*.f64 (/.f64 x -1) (neg.f64 a))
(*.f64 a x)
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 a)))
(*.f64 a x)
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 a -2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 a))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 a -2))) (.f64 (/.f64 x 1) (cbrt.f64 a)))
(*.f64 (/.f64 x (cbrt.f64 (pow.f64 a -2))) (cbrt.f64 a))
(*.f64 (cbrt.f64 a) (/.f64 x (cbrt.f64 (pow.f64 a -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 a)))
(*.f64 a x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 a -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 a -1/2)))
(*.f64 a x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 a -2))) (cbrt.f64 (/.f64 x (/.f64 1 a))))
(.f64 (cbrt.f64 (.f64 (/.f64 x 1) a)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 a -2))))
(.f64 (cbrt.f64 (.f64 a x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 a -2))))
(pow.f64 (/.f64 x (/.f64 1 a)) 1)
(*.f64 a x)
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 1 a))) 2)
(*.f64 a x)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 1 a))) 3)
(*.f64 a x)
(pow.f64 (pow.f64 (/.f64 x (/.f64 1 a)) 3) 1/3)
(*.f64 a x)
(pow.f64 (/.f64 1 (/.f64 x (/.f64 1 a))) -1)
(*.f64 a x)
(neg.f64 (/.f64 x (/.f64 -1 a)))
(*.f64 a x)
(sqrt.f64 (pow.f64 (/.f64 x (/.f64 1 a)) 2))
(*.f64 a x)
(log.f64 (exp.f64 (/.f64 x (/.f64 1 a))))
(*.f64 a x)
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 1 a)) 3))
(*.f64 a x)
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 1 a))))
(*.f64 a x)
(exp.f64 (log.f64 (/.f64 x (/.f64 1 a))))
(*.f64 a x)
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 1 a))) 1))
(*.f64 a x)
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 1 a))))
(*.f64 a x)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 1 a))

Compiler

Compiled 20 to 14 computations (30% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`associate-r`
908×	`add-sqr-sqrt`
892×	`*-un-lft-identity`
842×	`pow1`
832×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	125	1
2	1227	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 a))

Outputs

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

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-*r/`
1178×	`associate-/r*`
952×	`associate-*l/`
916×	`associate-/l*`
850×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	273
1	241	231
2	805	223
3	3088	223

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

Inputs
a
a
a
a
a
a
a
a
a
a
a
a
(-.f64 (+.f64 1 a) 1)
(*.f64 1 a)
(*.f64 a 1)
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
(*.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a))
(*.f64 -1 (neg.f64 a))
(*.f64 (neg.f64 a) -1)
(*.f64 (pow.f64 (pow.f64 a -1/2) -1) (pow.f64 (pow.f64 a -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 a -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 a)) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 a)) -1) (pow.f64 (cbrt.f64 (pow.f64 a -2)) -1))
(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
(.f64 (.f64 -1 (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (cbrt.f64 a)))
(.f64 (.f64 (sqrt.f64 a) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(.f64 (.f64 (cbrt.f64 a) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)))
(.f64 (.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 a)))
(.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a)))) (cbrt.f64 (cbrt.f64 a)))
(.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (cbrt.f64 a)))
(.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(.f64 (.f64 -1 (sqrt.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 a)))
(.f64 (.f64 -1 (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))
(.f64 (.f64 -1 (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
(.f64 (.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
(pow.f64 a 1)
(pow.f64 (/.f64 1 a) -1)
(pow.f64 (sqrt.f64 a) 2)
(pow.f64 (cbrt.f64 a) 3)
(pow.f64 (pow.f64 a 3) 1/3)
(sqrt.f64 (*.f64 a a))
(log.f64 (exp.f64 a))
(cbrt.f64 (pow.f64 a 3))
(expm1.f64 (log1p.f64 a))
(exp.f64 (log.f64 a))
(log1p.f64 (expm1.f64 a))

Outputs
a
a
a
a
a
a
a
a
a
a
a
a
(-.f64 (+.f64 1 a) 1)
a
(*.f64 1 a)
a
(*.f64 a 1)
a
(*.f64 (sqrt.f64 a) (sqrt.f64 a))
a
(*.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2))
a
(*.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a))
a
(*.f64 -1 (neg.f64 a))
a
(*.f64 (neg.f64 a) -1)
a
(*.f64 (pow.f64 (pow.f64 a -1/2) -1) (pow.f64 (pow.f64 a -1/2) -1))
a
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 a -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 a)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 a -2))) (/.f64 1 (/.f64 1 (cbrt.f64 a))))
(/.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a -2)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 a)) -1) (pow.f64 (cbrt.f64 (pow.f64 a -2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 a -2))) (/.f64 1 (/.f64 1 (cbrt.f64 a))))
(/.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a -2)))
(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (sqrt.f64 a))) (sqrt.f64 (sqrt.f64 a)))
a
(.f64 (.f64 -1 (sqrt.f64 a)) (neg.f64 (sqrt.f64 a)))
a
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 a) 2)) (neg.f64 (cbrt.f64 a)))
a
(.f64 (.f64 (sqrt.f64 a) (cbrt.f64 a)) (cbrt.f64 (sqrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 (cbrt.f64 a) (cbrt.f64 (sqrt.f64 a))))
(.f64 (cbrt.f64 a) (.f64 (sqrt.f64 a) (cbrt.f64 (sqrt.f64 a))))
(.f64 (.f64 (sqrt.f64 a) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (cbrt.f64 a)))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)) (sqrt.f64 (cbrt.f64 a))))
(.f64 (sqrt.f64 a) (.f64 (fabs.f64 (cbrt.f64 a)) (sqrt.f64 (cbrt.f64 a))))
(*.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 (cbrt.f64 a)) 3))
(.f64 (.f64 (cbrt.f64 a) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)))
a
(.f64 (.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)))
a
(.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (cbrt.f64 a))) (sqrt.f64 (cbrt.f64 a)))
a
(.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a)))) (cbrt.f64 (cbrt.f64 a)))
a
(.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (cbrt.f64 a)))
(.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (cbrt.f64 a))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 a) 2)) (.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (cbrt.f64 a))))
(.f64 (.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (sqrt.f64 a))) (cbrt.f64 (sqrt.f64 a)))
(.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 (sqrt.f64 a)) (cbrt.f64 (sqrt.f64 a))))
(.f64 (.f64 -1 (sqrt.f64 (neg.f64 a))) (sqrt.f64 (neg.f64 a)))
a
(.f64 (.f64 -1 (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 (neg.f64 a)))) (cbrt.f64 (neg.f64 a)))
a
(.f64 (.f64 -1 (neg.f64 (sqrt.f64 a))) (sqrt.f64 a))
a
(.f64 (.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 a))
a
(pow.f64 a 1)
a
(pow.f64 (/.f64 1 a) -1)
a
(pow.f64 (sqrt.f64 a) 2)
a
(pow.f64 (cbrt.f64 a) 3)
a
(pow.f64 (pow.f64 a 3) 1/3)
a
(sqrt.f64 (*.f64 a a))
a
(log.f64 (exp.f64 a))
a
(cbrt.f64 (pow.f64 a 3))
a
(expm1.f64 (log1p.f64 a))
a
(exp.f64 (log.f64 a))
a
(log1p.f64 (expm1.f64 a))
a

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/2 x) (/.f64 1 a))
✓	0.1b	(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series3.0ms (0%)

Counts

2 → 30

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
0.0ms	x	@	0	(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
0.0ms	x	@	0	(+.f64 (*.f64 -1/2 x) (/.f64 1 a))
0.0ms	x	@	-inf	(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
0.0ms	a	@	inf	(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))

rewrite90.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1282×	`associate-*r/`
986×	`*-commutative`
986×	`associate-/r*`
790×	`associate-*l/`
698×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	217	36
2	2854	36

Stop Event

1×	node limit

Counts

2 → 169

Calls

Call 1

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

Outputs

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

simplify131.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

636×	`+-commutative`
582×	`associate-r`
520×	`associate-/l*`
514×	`*-commutative`
486×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	452	9405
1	1358	8945
2	6105	8901

Stop Event

1×	node limit

Counts

199 → 264

Calls

Call 1

Inputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (*.f64 a x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (.f64 a x) (.f64 1/8 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (*.f64 a x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (.f64 a x) (.f64 1/8 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
(/.f64 1 a)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(/.f64 1 a)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(+.f64 (/.f64 x (+.f64 (.f64 -1/2 x) (/.f64 1 a))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2))) (fma.f64 (neg.f64 (/.f64 1 a)) 1 (/.f64 1 a))))
(+.f64 (/.f64 x (+.f64 (.f64 -1/2 x) (/.f64 1 a))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2))) (fma.f64 (neg.f64 (pow.f64 a -1/2)) (pow.f64 a -1/2) (/.f64 1 a))))
(+.f64 (/.f64 x (+.f64 (.f64 -1/2 x) (/.f64 1 a))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 a))) (cbrt.f64 (pow.f64 a -2)) (/.f64 1 a))))
(+.f64 (/.f64 x (+.f64 (.f64 -1/2 x) (/.f64 1 a))) (.f64 (fma.f64 (neg.f64 (/.f64 1 a)) 1 (/.f64 1 a)) (/.f64 x (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2)))))
(+.f64 (/.f64 x (+.f64 (.f64 -1/2 x) (/.f64 1 a))) (.f64 (fma.f64 (neg.f64 (pow.f64 a -1/2)) (pow.f64 a -1/2) (/.f64 1 a)) (/.f64 x (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2)))))
(+.f64 (/.f64 x (+.f64 (.f64 -1/2 x) (/.f64 1 a))) (.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 a))) (cbrt.f64 (pow.f64 a -2)) (/.f64 1 a)) (/.f64 x (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2)))))
(+.f64 (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2))) (.f64 -1/2 x)) (.f64 (/.f64 x (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 a -2))) (/.f64 -1 a)))
(+.f64 (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2))) (.f64 -1/2 x)) (.f64 (/.f64 x (-.f64 (.f64 (*.f64 x x) 1/4) (pow.f64 a -2))) (neg.f64 (/.f64 1 a))))
(+.f64 (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2))) (.f64 -1/2 x)) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2))) (.f64 (pow.f64 a -1/2) (neg.f64 (pow.f64 a -1/2)))))
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(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) -1/8) (.f64 (pow.f64 x 3) -1/8)) (.f64 (pow.f64 a -3) (pow.f64 a -3))) (.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a)))) (-.f64 (*.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3))))
(/.f64 (-.f64 (pow.f64 a -2) (.f64 (.f64 x x) 1/4)) (-.f64 (/.f64 1 a) (*.f64 -1/2 x)))
(/.f64 (-.f64 (pow.f64 a -2) (.f64 (.f64 x x) 1/4)) (.f64 1 (-.f64 (/.f64 1 a) (.f64 -1/2 x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x x) 1/4)) (/.f64 (pow.f64 a -3) a)) (.f64 (+.f64 (.f64 -1/2 x) (/.f64 -1 a)) (+.f64 (pow.f64 a -2) (.f64 (*.f64 x x) 1/4))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/8) 3) (pow.f64 (pow.f64 a -3) 3)) (.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a)))) (+.f64 (.f64 (.f64 (pow.f64 x 3) -1/8) (.f64 (pow.f64 x 3) -1/8)) (-.f64 (.f64 (pow.f64 a -3) (pow.f64 a -3)) (.f64 (*.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) 1/4) 3) (pow.f64 (pow.f64 a -2) 3)) (.f64 (+.f64 (.f64 -1/2 x) (/.f64 -1 a)) (+.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x x) 1/4)) (+.f64 (/.f64 (pow.f64 a -3) a) (.f64 (pow.f64 a -2) (.f64 (.f64 x x) 1/4))))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2)))) (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 -1 a))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)))) (neg.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 x (/.f64 -1/2 a))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 a -2) (.f64 (.f64 x x) 1/4))) (-.f64 (/.f64 1 a) (.f64 -1/2 x)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)))) (sqrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) (sqrt.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2)))) (sqrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 -1 a))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)))) (cbrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2) (cbrt.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2)))) (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 -1 a))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2))) 1) (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 -1 a))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3))) 1) (neg.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 x (/.f64 -1/2 a))))))
(/.f64 (.f64 (-.f64 (pow.f64 a -2) (.f64 (.f64 x x) 1/4)) 1) (-.f64 (/.f64 1 a) (.f64 -1/2 x)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3))) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (sqrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2))) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (sqrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 -1 a))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3))) (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (cbrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2))) (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 -1 a))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x x) 1/4)) (/.f64 (pow.f64 a -3) a)) (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 -1 a)))) (+.f64 (pow.f64 a -2) (.f64 (*.f64 x x) 1/4)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) 1/4) 3) (pow.f64 (pow.f64 a -2) 3)) (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 -1 a)))) (+.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x x) 1/4)) (+.f64 (/.f64 (pow.f64 a -3) a) (.f64 (pow.f64 a -2) (.f64 (.f64 x x) 1/4)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) -1/8) (.f64 (pow.f64 x 3) -1/8)) (.f64 (pow.f64 a -3) (pow.f64 a -3))) (/.f64 1 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a)))))) (-.f64 (*.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/8) 3) (pow.f64 (pow.f64 a -3) 3)) (/.f64 1 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a)))))) (+.f64 (.f64 (.f64 (pow.f64 x 3) -1/8) (.f64 (pow.f64 x 3) -1/8)) (-.f64 (.f64 (pow.f64 a -3) (pow.f64 a -3)) (.f64 (*.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2)) 1) (+.f64 (*.f64 -1/2 x) (/.f64 -1 a)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2)) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 -1 a)))) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 -1 a))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2)) (.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 -1 a))) (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 -1 a))))) (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 -1 a))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2)) (+.f64 (pow.f64 a -1/2) (sqrt.f64 (.f64 -1/2 x)))) (-.f64 (sqrt.f64 (.f64 -1/2 x)) (pow.f64 a -1/2)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)) 1) (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)) (sqrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a)))))) (sqrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 x (/.f64 -1/2 a))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a))))) (cbrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a))))))) (cbrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 x (/.f64 -1/2 a))))))
(pow.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(exp.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(fma.f64 x -1/2 (/.f64 1 a))
(fma.f64 -1/2 x (/.f64 1 a))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 1 a))
(fma.f64 1 (/.f64 1 a) (*.f64 -1/2 x))
(fma.f64 (pow.f64 a -1/2) (pow.f64 a -1/2) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (.f64 -1/2 x)) (sqrt.f64 (.f64 -1/2 x)) (/.f64 1 a))
(fma.f64 (cbrt.f64 (pow.f64 a -2)) (/.f64 1 (cbrt.f64 a)) (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 x)) 2) (cbrt.f64 (.f64 -1/2 x)) (/.f64 1 a))

Outputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(fma.f64 a x (.f64 (.f64 x x) (.f64 (.f64 1/2 a) a)))
(.f64 x (+.f64 a (.f64 (.f64 (.f64 1/2 a) a) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (*.f64 a x)))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (*.f64 a x)))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 a x (.f64 (pow.f64 x 3) (*.f64 1/4 (pow.f64 a 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (.f64 a x) (.f64 1/8 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (fma.f64 a x (.f64 (.f64 1/8 (pow.f64 a 4)) (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (fma.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 a x))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(+.f64 -2 (neg.f64 (/.f64 4 (*.f64 a x))))
(-.f64 -2 (/.f64 4 (*.f64 a x)))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 4 (.f64 a x))) (/.f64 8 (.f64 (.f64 a a) (.f64 x x)))))
(+.f64 (-.f64 -2 (/.f64 4 (.f64 a x))) (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
(neg.f64 (+.f64 (/.f64 8 (.f64 (.f64 a a) (.f64 x x))) (+.f64 (+.f64 2 (/.f64 16 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (/.f64 4 (*.f64 a x)))))
(-.f64 (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))) (+.f64 (/.f64 4 (.f64 a x)) (+.f64 2 (/.f64 (/.f64 16 (pow.f64 a 3)) (pow.f64 x 3)))))
(+.f64 (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))) (-.f64 (-.f64 -2 (/.f64 4 (.f64 a x))) (/.f64 (/.f64 16 (pow.f64 a 3)) (pow.f64 x 3))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(+.f64 -2 (neg.f64 (/.f64 4 (*.f64 a x))))
(-.f64 -2 (/.f64 4 (*.f64 a x)))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 4 (.f64 a x))) (/.f64 8 (.f64 (.f64 a a) (.f64 x x)))))
(+.f64 (-.f64 -2 (/.f64 4 (.f64 a x))) (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
(neg.f64 (+.f64 (/.f64 8 (.f64 (.f64 a a) (.f64 x x))) (+.f64 (+.f64 2 (/.f64 16 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (/.f64 4 (*.f64 a x)))))
(-.f64 (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))) (+.f64 (/.f64 4 (.f64 a x)) (+.f64 2 (/.f64 (/.f64 16 (pow.f64 a 3)) (pow.f64 x 3)))))
(+.f64 (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))) (-.f64 (-.f64 -2 (/.f64 4 (.f64 a x))) (/.f64 (/.f64 16 (pow.f64 a 3)) (pow.f64 x 3))))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(fma.f64 a x (.f64 (.f64 x x) (.f64 (.f64 1/2 a) a)))
(.f64 x (+.f64 a (.f64 (.f64 (.f64 1/2 a) a) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (*.f64 a x)))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (*.f64 a x)))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 a x (.f64 (pow.f64 x 3) (*.f64 1/4 (pow.f64 a 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (.f64 a x) (.f64 1/8 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (fma.f64 a x (.f64 (.f64 1/8 (pow.f64 a 4)) (pow.f64 x 4)))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (fma.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 a x))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(+.f64 -2 (neg.f64 (/.f64 4 (*.f64 a x))))
(-.f64 -2 (/.f64 4 (*.f64 a x)))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 4 (.f64 a x))) (/.f64 8 (.f64 (.f64 a a) (.f64 x x)))))
(+.f64 (-.f64 -2 (/.f64 4 (.f64 a x))) (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
(neg.f64 (+.f64 (/.f64 8 (.f64 (.f64 a a) (.f64 x x))) (+.f64 (+.f64 2 (/.f64 16 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (/.f64 4 (*.f64 a x)))))
(-.f64 (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))) (+.f64 (/.f64 4 (.f64 a x)) (+.f64 2 (/.f64 (/.f64 16 (pow.f64 a 3)) (pow.f64 x 3)))))
(+.f64 (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))) (-.f64 (-.f64 -2 (/.f64 4 (.f64 a x))) (/.f64 (/.f64 16 (pow.f64 a 3)) (pow.f64 x 3))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(+.f64 -2 (neg.f64 (/.f64 4 (*.f64 a x))))
(-.f64 -2 (/.f64 4 (*.f64 a x)))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 4 (.f64 a x))) (/.f64 8 (.f64 (.f64 a a) (.f64 x x)))))
(+.f64 (-.f64 -2 (/.f64 4 (.f64 a x))) (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
(neg.f64 (+.f64 (/.f64 8 (.f64 (.f64 a a) (.f64 x x))) (+.f64 (+.f64 2 (/.f64 16 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (/.f64 4 (*.f64 a x)))))
(-.f64 (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))) (+.f64 (/.f64 4 (.f64 a x)) (+.f64 2 (/.f64 (/.f64 16 (pow.f64 a 3)) (pow.f64 x 3)))))
(+.f64 (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))) (-.f64 (-.f64 -2 (/.f64 4 (.f64 a x))) (/.f64 (/.f64 16 (pow.f64 a 3)) (pow.f64 x 3))))
(/.f64 1 a)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(/.f64 1 a)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (/.f64 x (+.f64 (.f64 -1/2 x) (/.f64 1 a))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2))) (fma.f64 (neg.f64 (/.f64 1 a)) 1 (/.f64 1 a))))
(+.f64 (/.f64 x (fma.f64 x -1/2 (/.f64 1 a))) (/.f64 (.f64 x (fma.f64 (/.f64 -1 a) 1 (/.f64 1 a))) (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 a -2))))
(fma.f64 (/.f64 x (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 a -2))) (+.f64 (/.f64 1 a) (/.f64 -1 a)) (/.f64 x (fma.f64 x -1/2 (/.f64 1 a))))
(+.f64 (/.f64 x (fma.f64 x -1/2 (/.f64 1 a))) (.f64 0 (/.f64 (/.f64 x (-.f64 (.f64 1/4 (*.f64 x x)) (pow.f64 a -2))) a)))
(+.f64 (/.f64 x (+.f64 (.f64 -1/2 x) (/.f64 1 a))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2))) (fma.f64 (neg.f64 (pow.f64 a -1/2)) (pow.f64 a -1/2) (/.f64 1 a))))
(+.f64 (/.f64 x (fma.f64 x -1/2 (/.f64 1 a))) (/.f64 (.f64 x (fma.f64 (/.f64 -1 a) 1 (/.f64 1 a))) (-.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 a -2))))
(fma.f64 (/.f64 x (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 a -2))) (+.f64 (/.f64 1 a) (/.f64 -1 a)) (/.f64 x (fma.f64 x -1/2 (/.f64 1 a))))
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(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 a))) 2) (/.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -1 a))) (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 a -2)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 1/4 (*.f64 x x)) (pow.f64 a -2))) (cbrt.f64 (fma.f64 x -1/2 (/.f64 -1 a)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 a))) 2))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2))) 1) (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 -1 a))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 a -2)) (fma.f64 -1/2 x (/.f64 -1 a)))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 a -2)) (fma.f64 x -1/2 (/.f64 -1 a)))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3))) 1) (neg.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 x (/.f64 -1/2 a))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (-.f64 (.f64 x (.f64 x 1/4)) (*.f64 x (/.f64 -1/2 a)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (.f64 x (-.f64 (.f64 x 1/4) (/.f64 -1/2 a)))))
(/.f64 (.f64 (-.f64 (pow.f64 a -2) (.f64 (.f64 x x) 1/4)) 1) (-.f64 (/.f64 1 a) (.f64 -1/2 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 a -2)) (fma.f64 -1/2 x (/.f64 -1 a)))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 a -2)) (fma.f64 x -1/2 (/.f64 -1 a)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3))) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (sqrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a))))))
(/.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 1 a))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 x (.f64 x 1/4)) (*.f64 x (/.f64 -1/2 a))))) (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 a -3)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 1 a))) (sqrt.f64 (+.f64 (pow.f64 a -2) (.f64 x (-.f64 (*.f64 x 1/4) (/.f64 -1/2 a)))))) (sqrt.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 a -3))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2))) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (sqrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 -1 a))))
(/.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 1 a))) (/.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 -1 a))) (sqrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 a -2)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 1/4 (*.f64 x x)) (pow.f64 a -2))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 -1 a)))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 1 a))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3))) (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (cbrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 a))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 x (.f64 x 1/4)) (*.f64 x (/.f64 -1/2 a))))) (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 a -3)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 a))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 a -2) (.f64 x (-.f64 (.f64 x 1/4) (/.f64 -1/2 a))))) (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 a -3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2))) (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 -1 a))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 a))) 2) (/.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 -1 a))) (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 a -2)))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (.f64 1/4 (*.f64 x x)) (pow.f64 a -2))) (cbrt.f64 (fma.f64 x -1/2 (/.f64 -1 a)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 a))) 2))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x x) 1/4)) (/.f64 (pow.f64 a -3) a)) (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 -1 a)))) (+.f64 (pow.f64 a -2) (.f64 (*.f64 x x) 1/4)))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/16) (/.f64 (pow.f64 a -3) a)) (.f64 (fma.f64 -1/2 x (/.f64 -1 a)) (+.f64 (.f64 x (.f64 x 1/4)) (pow.f64 a -2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/16) (/.f64 (pow.f64 a -3) a)) (.f64 (fma.f64 x -1/2 (/.f64 -1 a)) (fma.f64 x (*.f64 x 1/4) (pow.f64 a -2))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) 1/4) 3) (pow.f64 (pow.f64 a -2) 3)) (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 -1 a)))) (+.f64 (.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 x x) 1/4)) (+.f64 (/.f64 (pow.f64 a -3) a) (.f64 (pow.f64 a -2) (.f64 (.f64 x x) 1/4)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/64) (pow.f64 (pow.f64 a -2) 3)) (.f64 (fma.f64 -1/2 x (/.f64 -1 a)) (+.f64 (+.f64 (.f64 (pow.f64 x 4) 1/16) (/.f64 (pow.f64 a -3) a)) (.f64 (.f64 x (*.f64 x 1/4)) (pow.f64 a -2)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/64) (pow.f64 (pow.f64 a -2) 3)) (fma.f64 (pow.f64 x 4) 1/16 (fma.f64 (.f64 1/4 (*.f64 x x)) (pow.f64 a -2) (/.f64 (pow.f64 a -3) a)))) (fma.f64 x -1/2 (/.f64 -1 a)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) -1/8) (.f64 (pow.f64 x 3) -1/8)) (.f64 (pow.f64 a -3) (pow.f64 a -3))) (/.f64 1 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a)))))) (-.f64 (*.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/64) (pow.f64 a -6)) (.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 x (.f64 x 1/4)) (.f64 x (/.f64 -1/2 a)))) (fma.f64 (pow.f64 x 3) -1/8 (neg.f64 (pow.f64 a -3)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/64 (neg.f64 (pow.f64 a -6))) (+.f64 (pow.f64 a -2) (.f64 x (-.f64 (.f64 x 1/4) (/.f64 -1/2 a))))) (fma.f64 (pow.f64 x 3) -1/8 (neg.f64 (pow.f64 a -3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/8) 3) (pow.f64 (pow.f64 a -3) 3)) (/.f64 1 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a)))))) (+.f64 (.f64 (.f64 (pow.f64 x 3) -1/8) (.f64 (pow.f64 x 3) -1/8)) (-.f64 (.f64 (pow.f64 a -3) (pow.f64 a -3)) (.f64 (*.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/8) 3) (pow.f64 (pow.f64 a -3) 3)) (.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 x (.f64 x 1/4)) (.f64 x (/.f64 -1/2 a)))) (+.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/64) (-.f64 (pow.f64 a -6) (.f64 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 a -3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/512 (pow.f64 (pow.f64 a -3) 3)) (.f64 (+.f64 (pow.f64 a -2) (.f64 x (-.f64 (.f64 x 1/4) (/.f64 -1/2 a)))) (+.f64 (fma.f64 (pow.f64 x 6) 1/64 (pow.f64 a -6)) (.f64 (pow.f64 a -3) (*.f64 (pow.f64 x 3) 1/8)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/512 (pow.f64 (pow.f64 a -3) 3)) (.f64 (+.f64 (pow.f64 a -2) (.f64 x (-.f64 (.f64 x 1/4) (/.f64 -1/2 a)))) (+.f64 (fma.f64 (pow.f64 x 6) 1/64 (pow.f64 a -6)) (.f64 (pow.f64 x 3) (*.f64 1/8 (pow.f64 a -3))))))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2)) 1) (+.f64 (*.f64 -1/2 x) (/.f64 -1 a)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 a -2)) (fma.f64 -1/2 x (/.f64 -1 a)))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 a -2)) (fma.f64 x -1/2 (/.f64 -1 a)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2)) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 -1 a)))) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 -1 a))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 a -2)) (fma.f64 -1/2 x (/.f64 -1 a)))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 a -2)) (fma.f64 x -1/2 (/.f64 -1 a)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2)) (.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 -1 a))) (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 -1 a))))) (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 -1 a))))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 a -2)) (fma.f64 -1/2 x (/.f64 -1 a)))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 a -2)) (fma.f64 x -1/2 (/.f64 -1 a)))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 a -2)) (+.f64 (pow.f64 a -1/2) (sqrt.f64 (.f64 -1/2 x)))) (-.f64 (sqrt.f64 (.f64 -1/2 x)) (pow.f64 a -1/2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 a -2)) (.f64 (-.f64 (sqrt.f64 (.f64 x -1/2)) (pow.f64 a -1/2)) (+.f64 (pow.f64 a -1/2) (sqrt.f64 (*.f64 x -1/2)))))
(/.f64 (/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 a -2)) (+.f64 (pow.f64 a -1/2) (sqrt.f64 (.f64 x -1/2)))) (-.f64 (sqrt.f64 (.f64 x -1/2)) (pow.f64 a -1/2)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)) 1) (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (-.f64 (.f64 x (.f64 x 1/4)) (*.f64 x (/.f64 -1/2 a)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (.f64 x (-.f64 (.f64 x 1/4) (/.f64 -1/2 a)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)) (sqrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a)))))) (sqrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 x (/.f64 -1/2 a))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (-.f64 (.f64 x (.f64 x 1/4)) (*.f64 x (/.f64 -1/2 a)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (.f64 x (-.f64 (.f64 x 1/4) (/.f64 -1/2 a)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a))))) (cbrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 x (/.f64 -1/2 a))))))) (cbrt.f64 (+.f64 (pow.f64 a -2) (-.f64 (.f64 (.f64 x x) 1/4) (*.f64 x (/.f64 -1/2 a))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (-.f64 (.f64 x (.f64 x 1/4)) (*.f64 x (/.f64 -1/2 a)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/8 (pow.f64 a -3)) (+.f64 (pow.f64 a -2) (.f64 x (-.f64 (.f64 x 1/4) (/.f64 -1/2 a)))))
(pow.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)) 1)
(fma.f64 x -1/2 (/.f64 1 a))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))) 2)
(fma.f64 x -1/2 (/.f64 1 a))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))) 3)
(fma.f64 x -1/2 (/.f64 1 a))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)) 3) 1/3)
(fma.f64 x -1/2 (/.f64 1 a))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 1 a)) 2))
(fabs.f64 (fma.f64 x -1/2 (/.f64 1 a)))
(log.f64 (exp.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(fma.f64 x -1/2 (/.f64 1 a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(fma.f64 x -1/2 (/.f64 1 a))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)) 3))
(fma.f64 x -1/2 (/.f64 1 a))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(fma.f64 x -1/2 (/.f64 1 a))
(exp.f64 (log.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(fma.f64 x -1/2 (/.f64 1 a))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(fma.f64 x -1/2 (/.f64 1 a))
(fma.f64 x -1/2 (/.f64 1 a))
(fma.f64 -1/2 x (/.f64 1 a))
(fma.f64 x -1/2 (/.f64 1 a))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 1 a))
(fma.f64 x -1/2 (/.f64 1 a))
(fma.f64 1 (/.f64 1 a) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 1 a))
(fma.f64 (pow.f64 a -1/2) (pow.f64 a -1/2) (*.f64 -1/2 x))
(fma.f64 x -1/2 (/.f64 1 a))
(fma.f64 (sqrt.f64 (.f64 -1/2 x)) (sqrt.f64 (.f64 -1/2 x)) (/.f64 1 a))
(fma.f64 x -1/2 (/.f64 1 a))
(fma.f64 (cbrt.f64 (pow.f64 a -2)) (/.f64 1 (cbrt.f64 a)) (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (pow.f64 a -2)) (/.f64 1 (cbrt.f64 a)) (*.f64 x -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 x)) 2) (cbrt.f64 (.f64 -1/2 x)) (/.f64 1 a))
(fma.f64 x -1/2 (/.f64 1 a))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 -1/2 x) (/.f64 1 a))
✓	0.1b	(.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
✓	0.1b	(/.f64 1 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))

Compiler

Compiled 39 to 28 computations (28.2% saved)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(/.f64 1 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
0.0ms	x	@	0	(/.f64 1 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
0.0ms	a	@	inf	(/.f64 1 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
0.0ms	a	@	-inf	(/.f64 1 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))

rewrite93.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`associate-*r/`
1042×	`*-commutative`
776×	`associate-*l/`
756×	`associate-/r*`
472×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	238	42
2	3050	42

Stop Event

1×	node limit

Counts

2 → 176

Calls

Call 1

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

Outputs

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

simplify138.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1788×	`distribute-lft-in`
760×	`associate-/l*`
686×	`+-commutative`
584×	`associate-r`
578×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	538	10464
1	1568	10026
2	6401	10014

Stop Event

1×	node limit

Counts

224 → 316

Calls

Call 1

Inputs
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 2))) (+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 3))) (+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (*.f64 a (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 4)))) (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (*.f64 a (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 4)))) (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 2))) (+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 3))) (+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (*.f64 a (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 4)))) (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (*.f64 a (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 4)))) (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (*.f64 a x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (.f64 a x) (.f64 1/8 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (*.f64 a x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (.f64 a x) (.f64 1/8 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
(+.f64 (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) (.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 -1/2 x) 2) (pow.f64 a -2))) (fma.f64 (neg.f64 (/.f64 1 a)) 1 (/.f64 1 a))))
(+.f64 (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) (.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 -1/2 x) 2) (pow.f64 a -2))) (fma.f64 (neg.f64 (pow.f64 a -1/2)) (pow.f64 a -1/2) (/.f64 1 a))))
(+.f64 (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) (.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 -1/2 x) 2) (pow.f64 a -2))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 a))) (cbrt.f64 (pow.f64 a -2)) (/.f64 1 a))))
(+.f64 (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) (.f64 (fma.f64 (neg.f64 (/.f64 1 a)) 1 (/.f64 1 a)) (/.f64 1 (-.f64 (pow.f64 (*.f64 -1/2 x) 2) (pow.f64 a -2)))))
(+.f64 (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) (.f64 (fma.f64 (neg.f64 (pow.f64 a -1/2)) (pow.f64 a -1/2) (/.f64 1 a)) (/.f64 1 (-.f64 (pow.f64 (*.f64 -1/2 x) 2) (pow.f64 a -2)))))
(+.f64 (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) (.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 a))) (cbrt.f64 (pow.f64 a -2)) (/.f64 1 a)) (/.f64 1 (-.f64 (pow.f64 (*.f64 -1/2 x) 2) (pow.f64 a -2)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 -1/2 x) 2) (pow.f64 a -2))) (.f64 -1/2 x)) (.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 -1/2 x) 2) (pow.f64 a -2))) (/.f64 -1 a)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 -1/2 x) 2) (pow.f64 a -2))) (.f64 -1/2 x)) (.f64 (/.f64 1 (-.f64 (pow.f64 (*.f64 -1/2 x) 2) (pow.f64 a -2))) (neg.f64 (/.f64 1 a))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 -1/2 x) 2) (pow.f64 a -2))) (.f64 -1/2 x)) (.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 -1/2 x) 2) (pow.f64 a -2))) (.f64 (pow.f64 a -1/2) (neg.f64 (pow.f64 a -1/2)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 -1/2 x) 2) (pow.f64 a -2))) (.f64 -1/2 x)) (.f64 (/.f64 1 (-.f64 (pow.f64 (.f64 -1/2 x) 2) (pow.f64 a -2))) (.f64 (/.f64 1 (cbrt.f64 a)) (neg.f64 (cbrt.f64 (pow.f64 a -2))))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3))) (pow.f64 (.f64 -1/2 x) 2)) (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3))) (-.f64 (pow.f64 a -2) (.f64 -1/2 (/.f64 x a)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3))) (-.f64 (pow.f64 a -2) (.f64 -1/2 (/.f64 x a)))) (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3))) (pow.f64 (.f64 -1/2 x) 2)))
(+.f64 (.f64 (.f64 -1/2 x) (/.f64 1 (-.f64 (pow.f64 (.f64 -1/2 x) 2) (pow.f64 a -2)))) (.f64 (/.f64 -1 a) (/.f64 1 (-.f64 (pow.f64 (*.f64 -1/2 x) 2) (pow.f64 a -2)))))
(+.f64 (.f64 (.f64 -1/2 x) (/.f64 1 (-.f64 (pow.f64 (.f64 -1/2 x) 2) (pow.f64 a -2)))) (.f64 (neg.f64 (/.f64 1 a)) (/.f64 1 (-.f64 (pow.f64 (*.f64 -1/2 x) 2) (pow.f64 a -2)))))
(+.f64 (.f64 (.f64 -1/2 x) (/.f64 1 (-.f64 (pow.f64 (.f64 -1/2 x) 2) (pow.f64 a -2)))) (.f64 (.f64 (pow.f64 a -1/2) (neg.f64 (pow.f64 a -1/2))) (/.f64 1 (-.f64 (pow.f64 (.f64 -1/2 x) 2) (pow.f64 a -2)))))
(+.f64 (.f64 (.f64 -1/2 x) (/.f64 1 (-.f64 (pow.f64 (.f64 -1/2 x) 2) (pow.f64 a -2)))) (.f64 (.f64 (/.f64 1 (cbrt.f64 a)) (neg.f64 (cbrt.f64 (pow.f64 a -2)))) (/.f64 1 (-.f64 (pow.f64 (.f64 -1/2 x) 2) (pow.f64 a -2)))))
(+.f64 (.f64 (pow.f64 (.f64 -1/2 x) 2) (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)))) (.f64 (-.f64 (pow.f64 a -2) (.f64 -1/2 (/.f64 x a))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)))))
(+.f64 (.f64 (-.f64 (pow.f64 a -2) (.f64 -1/2 (/.f64 x a))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)))) (.f64 (pow.f64 (.f64 -1/2 x) 2) (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))) 1)
(.f64 1 (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(.f64 (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 1)
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(/.f64 (.f64 (/.f64 x (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3))) (+.f64 (pow.f64 (pow.f64 (.f64 -1/2 x) 2) 3) (pow.f64 (-.f64 (pow.f64 a -2) (.f64 -1/2 (/.f64 x a))) 3))) (+.f64 (.f64 (pow.f64 (.f64 -1/2 x) 2) (pow.f64 (.f64 -1/2 x) 2)) (-.f64 (.f64 (-.f64 (pow.f64 a -2) (.f64 -1/2 (/.f64 x a))) (-.f64 (pow.f64 a -2) (.f64 -1/2 (/.f64 x a)))) (.f64 (pow.f64 (.f64 -1/2 x) 2) (-.f64 (pow.f64 a -2) (*.f64 -1/2 (/.f64 x a)))))))
(/.f64 (.f64 (/.f64 (sqrt.f64 x) 1) (sqrt.f64 x)) (+.f64 (.f64 -1/2 x) (/.f64 1 a)))
(/.f64 (.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (sqrt.f64 x)) (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (cbrt.f64 x)) (+.f64 (.f64 -1/2 x) (/.f64 1 a)))
(/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (cbrt.f64 x)) (sqrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(/.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (cbrt.f64 x)) (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(/.f64 (.f64 (.f64 x -1) 1) (neg.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(/.f64 (.f64 (neg.f64 x) 1) (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(/.f64 (.f64 (sqrt.f64 -1) (/.f64 x (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) 2)) (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(/.f64 (.f64 1 (/.f64 x (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))) 2))
(/.f64 (.f64 x (+.f64 (.f64 -1/2 x) (/.f64 -1 a))) (-.f64 (pow.f64 (*.f64 -1/2 x) 2) (pow.f64 a -2)))
(/.f64 (.f64 x (+.f64 (pow.f64 a -2) (-.f64 (pow.f64 (.f64 -1/2 x) 2) (.f64 -1/2 (/.f64 x a))))) (+.f64 (.f64 (pow.f64 x 3) -1/8) (pow.f64 a -3)))
(/.f64 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))) 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (sqrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))) (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2))
(/.f64 (/.f64 (.f64 x -1) 1) (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(/.f64 (/.f64 (.f64 x -1) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 (.f64 x -1) (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (neg.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 (.f64 x -1) -1) (+.f64 (.f64 -1/2 x) (/.f64 1 a)))
(/.f64 (/.f64 (.f64 x -1) (sqrt.f64 (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 (.f64 x -1) (.f64 (cbrt.f64 (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (cbrt.f64 (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))) (cbrt.f64 (neg.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 (.f64 x -1) (neg.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (sqrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(/.f64 (/.f64 (.f64 x -1) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2))) (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(/.f64 (/.f64 (/.f64 x 1) 1) (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) 1) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) 1) (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))) (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 (neg.f64 x) 1) (neg.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (neg.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (neg.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 (neg.f64 x) -1) (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (sqrt.f64 (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 (neg.f64 x) (.f64 (cbrt.f64 (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (cbrt.f64 (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))) (cbrt.f64 (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(/.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2))) (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(pow.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) 1)
(pow.f64 (sqrt.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) 2)
(pow.f64 (cbrt.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) 3)
(pow.f64 (pow.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) 2))
(log.f64 (exp.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))))
(cbrt.f64 (pow.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)) 3))))
(expm1.f64 (log1p.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))))
(exp.f64 (log.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))))
(log1p.f64 (expm1.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))))

Outputs
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (*.f64 a a) x)))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 2))) (+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x))))
(fma.f64 1/4 (.f64 (pow.f64 a 3) (.f64 x x)) (+.f64 a (.f64 1/2 (.f64 (*.f64 a a) x))))
(fma.f64 1/4 (.f64 (pow.f64 a 3) (.f64 x x)) (fma.f64 1/2 (.f64 a (.f64 a x)) a))
(+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 3))) (+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))))
(fma.f64 1/4 (.f64 (pow.f64 a 3) (.f64 x x)) (fma.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 3)) (+.f64 a (.f64 1/2 (.f64 (.f64 a a) x)))))
(fma.f64 1/4 (.f64 (pow.f64 a 3) (.f64 x x)) (fma.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 3)) (fma.f64 1/2 (.f64 a (*.f64 a x)) a)))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (*.f64 a (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (.f64 a (.f64 x x)))))
(-.f64 (/.f64 -2 x) (/.f64 4 (.f64 a (.f64 x x))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (/.f64 8 (.f64 (.f64 a a) (pow.f64 x 3)))) (/.f64 2 x)))
(-.f64 (/.f64 -4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (.f64 a (.f64 a (pow.f64 x 3))))))
(+.f64 (/.f64 -4 (.f64 a (.f64 x x))) (-.f64 (/.f64 -2 x) (/.f64 8 (.f64 a (.f64 a (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 4)))) (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (/.f64 8 (.f64 (.f64 a a) (pow.f64 x 3)))) (/.f64 2 x)) (/.f64 16 (*.f64 (pow.f64 a 3) (pow.f64 x 4)))))
(-.f64 (/.f64 -16 (.f64 (pow.f64 a 3) (pow.f64 x 4))) (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (/.f64 8 (.f64 a (*.f64 a (pow.f64 x 3)))))))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 8 (.f64 a (.f64 a (pow.f64 x 3))))) (-.f64 (/.f64 -16 (.f64 (pow.f64 a 3) (pow.f64 x 4))) (/.f64 4 (.f64 a (*.f64 x x)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (*.f64 a (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (.f64 a (.f64 x x)))))
(-.f64 (/.f64 -2 x) (/.f64 4 (.f64 a (.f64 x x))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (/.f64 8 (.f64 (.f64 a a) (pow.f64 x 3)))) (/.f64 2 x)))
(-.f64 (/.f64 -4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (.f64 a (.f64 a (pow.f64 x 3))))))
(+.f64 (/.f64 -4 (.f64 a (.f64 x x))) (-.f64 (/.f64 -2 x) (/.f64 8 (.f64 a (.f64 a (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 4)))) (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (/.f64 8 (.f64 (.f64 a a) (pow.f64 x 3)))) (/.f64 2 x)) (/.f64 16 (*.f64 (pow.f64 a 3) (pow.f64 x 4)))))
(-.f64 (/.f64 -16 (.f64 (pow.f64 a 3) (pow.f64 x 4))) (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (/.f64 8 (.f64 a (*.f64 a (pow.f64 x 3)))))))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 8 (.f64 a (.f64 a (pow.f64 x 3))))) (-.f64 (/.f64 -16 (.f64 (pow.f64 a 3) (pow.f64 x 4))) (/.f64 4 (.f64 a (*.f64 x x)))))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (*.f64 a a) x)))
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 2))) (+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x))))
(fma.f64 1/4 (.f64 (pow.f64 a 3) (.f64 x x)) (+.f64 a (.f64 1/2 (.f64 (*.f64 a a) x))))
(fma.f64 1/4 (.f64 (pow.f64 a 3) (.f64 x x)) (fma.f64 1/2 (.f64 a (.f64 a x)) a))
(+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 3))) (+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))))
(fma.f64 1/4 (.f64 (pow.f64 a 3) (.f64 x x)) (fma.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 3)) (+.f64 a (.f64 1/2 (.f64 (.f64 a a) x)))))
(fma.f64 1/4 (.f64 (pow.f64 a 3) (.f64 x x)) (fma.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 3)) (fma.f64 1/2 (.f64 a (*.f64 a x)) a)))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (*.f64 a (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (.f64 a (.f64 x x)))))
(-.f64 (/.f64 -2 x) (/.f64 4 (.f64 a (.f64 x x))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (/.f64 8 (.f64 (.f64 a a) (pow.f64 x 3)))) (/.f64 2 x)))
(-.f64 (/.f64 -4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (.f64 a (.f64 a (pow.f64 x 3))))))
(+.f64 (/.f64 -4 (.f64 a (.f64 x x))) (-.f64 (/.f64 -2 x) (/.f64 8 (.f64 a (.f64 a (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 4)))) (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (/.f64 8 (.f64 (.f64 a a) (pow.f64 x 3)))) (/.f64 2 x)) (/.f64 16 (*.f64 (pow.f64 a 3) (pow.f64 x 4)))))
(-.f64 (/.f64 -16 (.f64 (pow.f64 a 3) (pow.f64 x 4))) (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (/.f64 8 (.f64 a (*.f64 a (pow.f64 x 3)))))))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 8 (.f64 a (.f64 a (pow.f64 x 3))))) (-.f64 (/.f64 -16 (.f64 (pow.f64 a 3) (pow.f64 x 4))) (/.f64 4 (.f64 a (*.f64 x x)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (*.f64 a (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (.f64 a (.f64 x x)))))
(-.f64 (/.f64 -2 x) (/.f64 4 (.f64 a (.f64 x x))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (/.f64 8 (.f64 (.f64 a a) (pow.f64 x 3)))) (/.f64 2 x)))
(-.f64 (/.f64 -4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (.f64 a (.f64 a (pow.f64 x 3))))))
(+.f64 (/.f64 -4 (.f64 a (.f64 x x))) (-.f64 (/.f64 -2 x) (/.f64 8 (.f64 a (.f64 a (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 4)))) (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (/.f64 8 (.f64 (.f64 a a) (pow.f64 x 3)))) (/.f64 2 x)) (/.f64 16 (*.f64 (pow.f64 a 3) (pow.f64 x 4)))))
(-.f64 (/.f64 -16 (.f64 (pow.f64 a 3) (pow.f64 x 4))) (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (/.f64 8 (.f64 a (*.f64 a (pow.f64 x 3)))))))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 8 (.f64 a (.f64 a (pow.f64 x 3))))) (-.f64 (/.f64 -16 (.f64 (pow.f64 a 3) (pow.f64 x 4))) (/.f64 4 (.f64 a (*.f64 x x)))))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
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-2
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-2
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(*.f64 a x)
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-2
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-2
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(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (.f64 x -1) -1) (+.f64 (.f64 -1/2 x) (/.f64 1 a)))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (.f64 x -1) (sqrt.f64 (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (sqrt.f64 (neg.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (.f64 x -1) (.f64 (cbrt.f64 (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (cbrt.f64 (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))) (cbrt.f64 (neg.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (.f64 x -1) (neg.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (sqrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (.f64 x -1) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2))) (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (/.f64 x 1) 1) (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) 1) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 -1/2 x (/.f64 1 a)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 1 a)))) (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 a)))))
(/.f64 x (.f64 (.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 a))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 1 a))))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 1 a)))))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 -1/2 x (/.f64 1 a)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 a))) 2))))
(/.f64 (/.f64 (/.f64 x (fabs.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 a))))) (sqrt.f64 (fma.f64 x -1/2 (/.f64 1 a)))) (sqrt.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 a)))))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) 1) (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 a))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 1 a)))) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 1 a))))))
(/.f64 x (.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 1 a)))) (cbrt.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 1 a))))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 a))) 2)))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 a))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 1 a))) 2))))
(/.f64 x (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 a))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 a))))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 1 a))) 2)))
(/.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))) (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (neg.f64 x) 1) (neg.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (neg.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2)) (neg.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (neg.f64 x) -1) (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (sqrt.f64 (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (neg.f64 x) (.f64 (cbrt.f64 (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) (cbrt.f64 (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))) (cbrt.f64 (neg.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) (sqrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(/.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))) 2))) (cbrt.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(pow.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) 1)
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(pow.f64 (sqrt.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) 2)
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(pow.f64 (cbrt.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))) 3)
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(pow.f64 (pow.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) 3) 1/3)
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(sqrt.f64 (pow.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) 2))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 -1/2 x (/.f64 1 a))) 2))
(fabs.f64 (/.f64 x (fma.f64 x -1/2 (/.f64 1 a))))
(log.f64 (exp.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(cbrt.f64 (pow.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a)))) 3))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(cbrt.f64 (.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 (+.f64 (.f64 -1/2 x) (/.f64 1 a)) 3))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(expm1.f64 (log1p.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(exp.f64 (log.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))
(log1p.f64 (expm1.f64 (.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))))
(/.f64 x (fma.f64 -1/2 x (/.f64 1 a)))
(/.f64 x (fma.f64 x -1/2 (/.f64 1 a)))

eval734.0ms (9.3%)

Compiler: Compiled 42408 to 25938 computations (38.8% saved)

prune411.0ms (5.2%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	1125	6	1131
Fresh	0	2	2
Picked	0	1	1
Done	2	7	9
Total	1127	16	1143

Error

Counts

1143 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	35.7b	(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/9) 3) 3)
	35.7b	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/6)) 18)
✓	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	23.5b	(/.f64 x (/.f64 1 a))
✓	19.9b	(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
	20.1b	(/.f64 1 (/.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)) x))
	59.2b	(-.f64 -2 (/.f64 4 (*.f64 a x)))
	35.6b	(.f64 (pow.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/9) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
✓	19.8b	(.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
	58.3b	(*.f64 x (/.f64 -2 x))
	59.6b	(.f64 x (-.f64 (/.f64 -2 x) (/.f64 4 (.f64 a (*.f64 x x)))))
✓	26.4b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
✓	23.4b	(*.f64 a x)
✓	50.5b	(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
✓	0.0b	(expm1.f64 (*.f64 a x))
	58.3b	-2

Compiler

Compiled 166 to 121 computations (27.1% saved)

regimes117.0ms (1.5%)

Counts

24 → 1

Calls

Call 1

Inputs
-2
(*.f64 a x)
(*.f64 x (/.f64 -2 x))
(/.f64 x (/.f64 1 a))
(*.f64 x (/.f64 1 (/.f64 1 a)))
(-.f64 -2 (/.f64 4 (*.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))
(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
(.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)) x))
(.f64 x (-.f64 (/.f64 -2 x) (/.f64 4 (.f64 a (*.f64 x x)))))
(/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/6)) 18)
(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/9) 3) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)
(.f64 (pow.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/9) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
(.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3) 1/6) 3) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3) 1/6) 3))

Outputs
(expm1.f64 (*.f64 a x))

Calls

5 calls:

63.0ms	(*.f64 a x)
31.0ms	x
12.0ms	a
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
3.0ms	(exp.f64 (*.f64 a x))

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`x`
0.0b	1	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
0.0b	1	`(exp.f64 (*.f64 a x))`
0.0b	1	`(*.f64 a x)`

Compiler

Compiled 265 to 152 computations (42.6% saved)

regimes26.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

Inputs
-2
(*.f64 a x)
(*.f64 x (/.f64 -2 x))
(/.f64 x (/.f64 1 a))
(*.f64 x (/.f64 1 (/.f64 1 a)))
(-.f64 -2 (/.f64 4 (*.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))
(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
(.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/2 x) (/.f64 1 a)) x))
(.f64 x (-.f64 (/.f64 -2 x) (/.f64 4 (.f64 a (*.f64 x x)))))
(/.f64 x (/.f64 1 (+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))))
(.f64 x (/.f64 1 (/.f64 1 (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))))

Outputs
(.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))

Calls

3 calls:

8.0ms	a
8.0ms	x
6.0ms	(*.f64 a x)

Results

Error	Segments	Branch
19.8b	1	`a`
19.8b	1	`x`
19.8b	1	`(*.f64 a x)`

Compiler

Compiled 144 to 88 computations (38.9% saved)

regimes19.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
-2
(*.f64 a x)
(*.f64 x (/.f64 -2 x))
(/.f64 x (/.f64 1 a))
(*.f64 x (/.f64 1 (/.f64 1 a)))
(-.f64 -2 (/.f64 4 (*.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))
(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))

Outputs
(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))

Calls

3 calls:

7.0ms	a
6.0ms	x
5.0ms	(*.f64 a x)

Results

Error	Segments	Branch
19.9b	1	`a`
19.9b	1	`x`
19.9b	1	`(*.f64 a x)`

Compiler

Compiled 81 to 50 computations (38.3% saved)

regimes74.0ms (0.9%)

Counts

7 → 2

Calls

Call 1

Inputs
-2
(*.f64 a x)
(*.f64 x (/.f64 -2 x))
(/.f64 x (/.f64 1 a))
(*.f64 x (/.f64 1 (/.f64 1 a)))
(-.f64 -2 (/.f64 4 (*.f64 a x)))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))

Outputs
(-.f64 -2 (/.f64 4 (*.f64 a x)))
(*.f64 a x)

Calls

3 calls:

63.0ms	(*.f64 a x)
5.0ms	a
5.0ms	x

Results

Error	Segments	Branch
23.4b	1	`a`
23.4b	1	`x`
20.2b	2	`(*.f64 a x)`

Compiler

Compiled 50 to 31 computations (38% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-250.3203678252227	-0.3153472311545851

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes17.0ms (0.2%)

Accuracy

Total -41.4b remaining (-205.4%)

Threshold costs -41.4b (-205.4%)

Counts

5 → 2

Calls

Call 1

Inputs
-2
(*.f64 a x)
(*.f64 x (/.f64 -2 x))
(/.f64 x (/.f64 1 a))
(*.f64 x (/.f64 1 (/.f64 1 a)))

Outputs
-2
(*.f64 a x)

Calls

3 calls:

7.0ms	(*.f64 a x)
5.0ms	a
4.0ms	x

Results

Error	Segments	Branch
23.4b	1	`a`
23.4b	1	`x`
20.2b	2	`(*.f64 a x)`

Compiler

Compiled 34 to 22 computations (35.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-250.3203678252227	-0.3153472311545851

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
6×	`+-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	132
1	34	132
2	41	132
3	43	132
4	44	132

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
(if (<=.f64 (.f64 a x) -200) (-.f64 -2 (/.f64 4 (.f64 a x))) (*.f64 a x))
(if (<=.f64 (.f64 a x) -200) -2 (.f64 a x))
-2

Outputs
(expm1.f64 (*.f64 a x))
(.f64 x (/.f64 1 (+.f64 (.f64 -1/2 x) (/.f64 1 a))))
(.f64 x (/.f64 1 (+.f64 (.f64 x -1/2) (/.f64 1 a))))
(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
(/.f64 x (+.f64 (*.f64 x -1/2) (/.f64 1 a)))
(if (<=.f64 (.f64 a x) -200) (-.f64 -2 (/.f64 4 (.f64 a x))) (*.f64 a x))
(if (<=.f64 (.f64 a x) -200) (+.f64 -2 (/.f64 -4 (.f64 a x))) (*.f64 a x))
(if (<=.f64 (.f64 a x) -200) -2 (.f64 a x))
-2

Compiler

Compiled 63 to 42 computations (33.3% saved)

soundness95.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1070×	`+-commutative`
934×	`associate-*l/`
934×	`*-commutative`
652×	`distribute-lft-neg-in`
650×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	18	11
2	25	11
3	38	11
4	73	11
5	171	11
6	514	11
7	2052	11
8	4869	11

Stop Event

1×	node limit

Compiler

Compiled 12 to 7 computations (41.7% saved)

end36.0ms (0.5%)

Remove: (sort a x)
Compiler: Compiled 65 to 38 computations (41.5% saved)

Details

analyze26.0ms (0.3%)

sample1.8s (22.5%)

preprocess41.0ms (0.5%)

simplify60.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite57.0ms (0.7%)

simplify52.0ms (0.7%)

eval10.0ms (0.1%)

prune6.0ms (0.1%)

localize3.0ms (0%)

localize13.0ms (0.2%)

series5.0ms (0.1%)

rewrite110.0ms (1.4%)

simplify178.0ms (2.3%)

localize8.0ms (0.1%)

series16.0ms (0.2%)

rewrite57.0ms (0.7%)

simplify58.0ms (0.7%)

eval133.0ms (1.7%)

prune59.0ms (0.8%)

localize12.0ms (0.2%)

series125.0ms (1.6%)

rewrite76.0ms (1%)

simplify169.0ms (2.1%)

localize8.0ms (0.1%)

series18.0ms (0.2%)

rewrite61.0ms (0.8%)

simplify70.0ms (0.9%)

localize14.0ms (0.2%)

series4.0ms (0%)

rewrite84.0ms (1.1%)

simplify87.0ms (1.1%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite97.0ms (1.2%)

simplify179.0ms (2.3%)

localize46.0ms (0.6%)

series1.0ms (0%)

rewrite107.0ms (1.4%)

simplify196.0ms (2.5%)

eval998.0ms (12.7%)

prune381.0ms (4.8%)

localize17.0ms (0.2%)

series6.0ms (0.1%)

rewrite66.0ms (0.8%)

simplify112.0ms (1.4%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite58.0ms (0.7%)

simplify61.0ms (0.8%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite51.0ms (0.6%)

simplify46.0ms (0.6%)

localize11.0ms (0.1%)

series3.0ms (0%)

rewrite90.0ms (1.1%)

simplify131.0ms (1.7%)

localize15.0ms (0.2%)

series10.0ms (0.1%)

rewrite93.0ms (1.2%)

simplify138.0ms (1.7%)

eval734.0ms (9.3%)

prune411.0ms (5.2%)

regimes117.0ms (1.5%)

regimes26.0ms (0.3%)

regimes19.0ms (0.2%)

regimes74.0ms (0.9%)

bsearch0.0ms (0%)

regimes17.0ms (0.2%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness95.0ms (1.2%)

end36.0ms (0.5%)

Profiling