Details

analyze29.0ms (0.5%)

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)

sample1.9s (32.6%)

Results

799.0ms	1503×	body	2048	valid
548.0ms	1777×	body	1024	valid
346.0ms	3839×	body	256	valid
170.0ms	1137×	body	512	valid
27.0ms	321×	body	256	infinite

Bogosity

preprocess39.0ms (0.7%)

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)

simplify67.0ms (1.1%)

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))

eval1.0ms (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

0.07%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.07%	(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
✓	0.07%	(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))

rewrite51.0ms (0.9%)

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 (0.9%)

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))

eval9.0ms (0.1%)

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

prune10.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Error

0.03%

Counts

40 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	71.64%	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
▶	54.95%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
▶	36.89%	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
▶	32.9%	(*.f64 a x)
✓	0.07%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 43 to 30 computations (30.2% saved)

localize3.0ms (0%)

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

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))
✓	2.25%	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
✓	11.34%	(.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))

rewrite88.0ms (1.5%)

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

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

simplify169.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1514×	`associate-/r/`
834×	`associate-l`
826×	`associate-r`
776×	`associate-/l*`
564×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	444	14195
1	1232	12801
2	6018	12801

Stop Event

1×	node limit

Counts

247 → 266

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.07%	(expm1.f64 (*.f64 a x))
✓	0.22%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	15.37%	(sqrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series7.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
1.0ms	x	@	0	(sqrt.f64 (expm1.f64 (*.f64 a x)))
1.0ms	a	@	0	(sqrt.f64 (expm1.f64 (*.f64 a x)))
0.0ms	x	@	inf	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)

rewrite65.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`add-sqr-sqrt`
1524×	`*-un-lft-identity`
1414×	`add-cube-cbrt`
1396×	`add-cbrt-cube`
1380×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	197	26
2	1989	26

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)

Outputs

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

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1050×	`associate-/l*`
1030×	`associate-*r/`
1018×	`associate-/r*`
986×	`distribute-lft-in`
810×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	1246
1	201	1206
2	742	1198
3	2957	1198

Stop Event

1×	node limit

Counts

74 → 53

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.07%	(expm1.f64 (*.f64 a x))
✓	0.22%	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
✓	37.96%	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)

Compiler

Compiled 27 to 12 computations (55.6% saved)

series15.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
3.0ms	a	@	inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
2.0ms	a	@	0	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
2.0ms	x	@	0	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
2.0ms	x	@	inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)

rewrite60.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1768×	`add-sqr-sqrt`
1728×	`*-un-lft-identity`
1632×	`add-cube-cbrt`
1614×	`add-cbrt-cube`
188×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	234	28
2	2335	28

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)

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

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

simplify67.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1434×	`associate-+l+`
1034×	`associate-+r+`
732×	`unswap-sqr`
666×	`+-commutative`
602×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	245	3296
1	723	3222
2	2988	3166

Stop Event

1×	node limit

Counts

90 → 98

Calls

Call 1

Inputs
(*.f64 a x)
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (*.f64 a x))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 a x) (.f64 1/3 (/.f64 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/2 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5)))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 4))) 2) (pow.f64 (/.f64 1 x) 1/3))))) (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 a x) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 a 4) (-.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5))) x) (+.f64 (.f64 1/6 (pow.f64 x 6)) (.f64 1/24 (pow.f64 x 6))))) (+.f64 (.f64 2/3 (.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/6 (pow.f64 x 5)) (.f64 1/2 (pow.f64 x 5)))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) 2) (pow.f64 (/.f64 1 x) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) 3) (pow.f64 x 2)))))) (pow.f64 x 2))) (.f64 1/3 (/.f64 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/2 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5)))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) 2) (pow.f64 (/.f64 1 x) 1/3))))) (pow.f64 x 2))))))
(-.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 a x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (.f64 (+.f64 (*.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 2)))))
(+.f64 (.f64 a x) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 2)))) (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (.f64 1/6 (pow.f64 a 5)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 a) 1/3) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 2)))) (pow.f64 x 3)) (pow.f64 a 2)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))))) (+.f64 (.f64 a (+.f64 (.f64 1/12 (pow.f64 a 5)) (.f64 1/6 (pow.f64 a 5)))) (+.f64 (.f64 1/6 (pow.f64 a 6)) (.f64 1/24 (pow.f64 a 6))))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 3) (pow.f64 a 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 5)) 1/3) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (-.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (.f64 1/6 (pow.f64 a 5)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 a) 1/3) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 2))))))))) (pow.f64 x 4)) (pow.f64 a 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 2)))) (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (.f64 1/6 (pow.f64 a 5)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 a) 1/3) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 2)))) (pow.f64 x 3)) (pow.f64 a 2))))))
(-.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 a 3) (pow.f64 x 3))
(+.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 4)) (*.f64 (pow.f64 a 3) (pow.f64 x 3)))
(+.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/2 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5)))) (pow.f64 a 5)) (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 4)) (+.f64 (.f64 (pow.f64 a 6) (+.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5))) x) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 1/6 (pow.f64 x 6)) (.f64 1/24 (pow.f64 x 6)))))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/2 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5)))) (pow.f64 a 5)) (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 (+.f64 (*.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (*.f64 1/6 (pow.f64 a 5)))) (pow.f64 x 5))))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 a (+.f64 (.f64 1/12 (pow.f64 a 5)) (.f64 1/6 (pow.f64 a 5)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))))) (+.f64 (.f64 1/6 (pow.f64 a 6)) (.f64 1/24 (pow.f64 a 6))))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (*.f64 1/6 (pow.f64 a 5)))) (pow.f64 x 5)))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(+.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 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 1 1/3) (expm1.f64 (.f64 a x)))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2) 1/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/3))
(/.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 (expm1.f64 (*.f64 a x)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (+.f64 1 (expm1.f64 (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))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))) 1)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3) 1)
(.f64 (expm1.f64 (.f64 a x)) (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 3))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2) (pow.f64 (expm1.f64 (*.f64 a x)) 3/2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (expm1.f64 (*.f64 a x)))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1) (expm1.f64 (.f64 a x)))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (sqrt.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 3) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 3) (expm1.f64 (*.f64 a x)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 6))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(exp.f64 (.f64 3 (log.f64 (expm1.f64 (.f64 a x)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))

Outputs
(*.f64 a x)
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (*.f64 a x))
(fma.f64 1/3 (.f64 (.f64 3/2 (pow.f64 x 4)) (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 a x))
(fma.f64 a x (.f64 1/3 (.f64 (.f64 (pow.f64 x 4) 3/2) (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 x x)))))))
(fma.f64 a x (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 1/3 (.f64 3/2 (.f64 (pow.f64 x 4) (.f64 a a))))))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 a x) (.f64 1/3 (/.f64 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/2 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5)))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 4))) 2) (pow.f64 (/.f64 1 x) 1/3))))) (pow.f64 x 2)))))
(fma.f64 1/3 (.f64 (.f64 3/2 (pow.f64 x 4)) (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 a x (.f64 1/3 (/.f64 (pow.f64 a 3) (/.f64 (.f64 x x) (+.f64 (fma.f64 (.f64 (pow.f64 x 4) 7/12) x (.f64 (pow.f64 x 5) 2/3)) (.f64 -1/3 (.f64 (pow.f64 (.f64 3/2 (pow.f64 x 4)) 2) (cbrt.f64 (/.f64 1 x))))))))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 x 4) 3/2) (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 a x (.f64 1/3 (.f64 (/.f64 (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (fma.f64 (pow.f64 x 5) 2/3 (.f64 (.f64 (pow.f64 (*.f64 (pow.f64 x 4) 3/2) 2) (cbrt.f64 (/.f64 1 x))) -1/3))) x) (/.f64 (pow.f64 a 3) x)))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 x 4) 3/2) (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 a 3) (.f64 x x)) (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (fma.f64 (pow.f64 x 5) 2/3 (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 x))) (pow.f64 (.f64 (pow.f64 x 4) 3/2) 2))))) (.f64 a x)))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 a x) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 a 4) (-.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5))) x) (+.f64 (.f64 1/6 (pow.f64 x 6)) (.f64 1/24 (pow.f64 x 6))))) (+.f64 (.f64 2/3 (.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/6 (pow.f64 x 5)) (.f64 1/2 (pow.f64 x 5)))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) 2) (pow.f64 (/.f64 1 x) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) 3) (pow.f64 x 2)))))) (pow.f64 x 2))) (.f64 1/3 (/.f64 (.f64 (pow.f64 a 3) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/2 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5)))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) 2) (pow.f64 (/.f64 1 x) 1/3))))) (pow.f64 x 2))))))
(fma.f64 1/3 (.f64 (.f64 3/2 (pow.f64 x 4)) (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 a x (.f64 1/3 (+.f64 (/.f64 (.f64 (pow.f64 a 4) (-.f64 (fma.f64 1/2 (.f64 (.f64 x x) (.f64 (pow.f64 x 4) 7/12)) (fma.f64 (.f64 (pow.f64 x 5) 1/4) x (.f64 (pow.f64 x 6) 5/24))) (fma.f64 2/3 (.f64 (.f64 3/2 (pow.f64 x 4)) (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 x 4) 7/12) x (.f64 (pow.f64 x 5) 2/3)) (.f64 -1/3 (.f64 (pow.f64 (.f64 3/2 (pow.f64 x 4)) 2) (cbrt.f64 (/.f64 1 x))))) (cbrt.f64 (/.f64 1 (pow.f64 x 5))))) (.f64 1/27 (/.f64 (pow.f64 (.f64 3/2 (pow.f64 x 4)) 3) (.f64 x x)))))) (.f64 x x)) (/.f64 (pow.f64 a 3) (/.f64 (.f64 x x) (+.f64 (fma.f64 (.f64 (pow.f64 x 4) 7/12) x (.f64 (pow.f64 x 5) 2/3)) (.f64 -1/3 (.f64 (pow.f64 (.f64 3/2 (pow.f64 x 4)) 2) (cbrt.f64 (/.f64 1 x)))))))))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 x 4) 3/2) (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 a x (.f64 1/3 (+.f64 (.f64 (/.f64 (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (fma.f64 (pow.f64 x 5) 2/3 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 x 4) 3/2) 2) (cbrt.f64 (/.f64 1 x))) -1/3))) x) (/.f64 (pow.f64 a 3) x)) (.f64 (/.f64 (pow.f64 a 4) (.f64 x x)) (-.f64 (fma.f64 1/2 (.f64 (pow.f64 x 6) 7/12) (fma.f64 x (.f64 1/4 (pow.f64 x 5)) (.f64 (pow.f64 x 6) 5/24))) (fma.f64 2/3 (.f64 (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (fma.f64 (pow.f64 x 5) 2/3 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 x 4) 3/2) 2) (cbrt.f64 (/.f64 1 x))) -1/3))) (.f64 (.f64 (pow.f64 x 4) 3/2) (cbrt.f64 (/.f64 1 (pow.f64 x 5))))) (.f64 1/27 (/.f64 (.f64 27/8 (pow.f64 (pow.f64 x 4) 3)) (.f64 x x))))))))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 x 4) 3/2) (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 a x (.f64 (/.f64 1/3 x) (+.f64 (/.f64 (pow.f64 a 3) (/.f64 x (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (fma.f64 (pow.f64 x 5) 2/3 (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 x))) (pow.f64 (.f64 (pow.f64 x 4) 3/2) 2)))))) (/.f64 (-.f64 (fma.f64 1/2 (.f64 (pow.f64 x 6) 7/12) (fma.f64 (pow.f64 x 6) 5/24 (.f64 (pow.f64 x 5) (.f64 1/4 x)))) (fma.f64 (.f64 (.f64 2/3 (.f64 (pow.f64 x 4) 3/2)) (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (fma.f64 (pow.f64 x 5) 2/3 (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 x))) (pow.f64 (.f64 (pow.f64 x 4) 3/2) 2))))) (cbrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 (/.f64 1/27 (.f64 x x)) (*.f64 27/8 (pow.f64 (pow.f64 x 4) 3))))) (/.f64 x (pow.f64 a 4)))))))
(-.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 a x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (.f64 (+.f64 (*.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 2)))))
(fma.f64 a x (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 (.f64 x x) (.f64 3/2 (pow.f64 a 4))))))
(fma.f64 a x (.f64 1/3 (.f64 (.f64 x x) (.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 (pow.f64 a 4) 3/2)))))
(fma.f64 1/3 (.f64 (.f64 x x) (.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 (pow.f64 a 4) 3/2))) (.f64 a x))
(+.f64 (.f64 a x) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 2)))) (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (.f64 1/6 (pow.f64 a 5)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 a) 1/3) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 2)))) (pow.f64 x 3)) (pow.f64 a 2)))))
(fma.f64 a x (.f64 1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 (.f64 x x) (.f64 3/2 (pow.f64 a 4)))) (/.f64 (+.f64 (fma.f64 1/2 (pow.f64 a 5) (fma.f64 a (.f64 (pow.f64 a 4) 7/12) (.f64 1/6 (pow.f64 a 5)))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 a)) (pow.f64 (.f64 3/2 (pow.f64 a 4)) 2)))) (/.f64 (.f64 a a) (pow.f64 x 3))))))
(fma.f64 a x (.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 (.f64 x x) (.f64 (pow.f64 a 4) 3/2)) (.f64 (/.f64 (pow.f64 x 3) a) (/.f64 (+.f64 (fma.f64 1/2 (pow.f64 a 5) (fma.f64 a (.f64 (pow.f64 a 4) 7/12) (.f64 1/6 (pow.f64 a 5)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 a)) (pow.f64 (*.f64 (pow.f64 a 4) 3/2) 2)) -1/3)) a)))))
(fma.f64 a x (.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 (.f64 x x) (.f64 (pow.f64 a 4) 3/2)) (.f64 (/.f64 (pow.f64 x 3) a) (/.f64 (+.f64 (.f64 (pow.f64 a 4) (.f64 7/12 a)) (-.f64 (.f64 (pow.f64 a 5) 2/3) (.f64 (pow.f64 (.f64 (pow.f64 a 4) 3/2) 2) (.f64 1/3 (cbrt.f64 (/.f64 1 a)))))) a)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))))) (+.f64 (.f64 a (+.f64 (.f64 1/12 (pow.f64 a 5)) (.f64 1/6 (pow.f64 a 5)))) (+.f64 (.f64 1/6 (pow.f64 a 6)) (.f64 1/24 (pow.f64 a 6))))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 3) (pow.f64 a 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 5)) 1/3) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (-.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (.f64 1/6 (pow.f64 a 5)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 a) 1/3) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 2))))))))) (pow.f64 x 4)) (pow.f64 a 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 2)))) (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (.f64 1/6 (pow.f64 a 5)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 a) 1/3) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 2)))) (pow.f64 x 3)) (pow.f64 a 2))))))
(fma.f64 1/3 (/.f64 (-.f64 (fma.f64 1/2 (.f64 (.f64 a a) (.f64 (pow.f64 a 4) 7/12)) (fma.f64 a (.f64 (pow.f64 a 5) 1/4) (.f64 (pow.f64 a 6) 5/24))) (fma.f64 1/27 (/.f64 (pow.f64 (.f64 3/2 (pow.f64 a 4)) 3) (.f64 a a)) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 5))) (.f64 (.f64 3/2 (pow.f64 a 4)) (+.f64 (fma.f64 1/2 (pow.f64 a 5) (fma.f64 a (.f64 (pow.f64 a 4) 7/12) (.f64 1/6 (pow.f64 a 5)))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 a)) (pow.f64 (.f64 3/2 (pow.f64 a 4)) 2))))))))) (/.f64 (.f64 a a) (pow.f64 x 4))) (fma.f64 a x (.f64 1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 (.f64 x x) (.f64 3/2 (pow.f64 a 4)))) (/.f64 (+.f64 (fma.f64 1/2 (pow.f64 a 5) (fma.f64 a (.f64 (pow.f64 a 4) 7/12) (.f64 1/6 (pow.f64 a 5)))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 a)) (pow.f64 (.f64 3/2 (pow.f64 a 4)) 2)))) (/.f64 (*.f64 a a) (pow.f64 x 3)))))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 x 4) a) (/.f64 (-.f64 (fma.f64 a (.f64 1/4 (pow.f64 a 5)) (fma.f64 (pow.f64 a 6) 5/24 (.f64 1/2 (.f64 (pow.f64 a 6) 7/12)))) (fma.f64 1/27 (/.f64 (.f64 27/8 (pow.f64 (pow.f64 a 4) 3)) (.f64 a a)) (.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 a 4) 3/2) (cbrt.f64 (/.f64 1 (pow.f64 a 5))))) (+.f64 (fma.f64 1/2 (pow.f64 a 5) (fma.f64 a (.f64 (pow.f64 a 4) 7/12) (.f64 1/6 (pow.f64 a 5)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 a)) (pow.f64 (.f64 (pow.f64 a 4) 3/2) 2)) -1/3))))) a)) (fma.f64 a x (.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 (.f64 x x) (.f64 (pow.f64 a 4) 3/2)) (.f64 (/.f64 (pow.f64 x 3) a) (/.f64 (+.f64 (fma.f64 1/2 (pow.f64 a 5) (fma.f64 a (.f64 (pow.f64 a 4) 7/12) (.f64 1/6 (pow.f64 a 5)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 a)) (pow.f64 (.f64 (pow.f64 a 4) 3/2) 2)) -1/3)) a))))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 x 4) a) (/.f64 (-.f64 (fma.f64 a (.f64 1/4 (pow.f64 a 5)) (fma.f64 1/2 (.f64 (pow.f64 a 6) 7/12) (.f64 (pow.f64 a 6) 5/24))) (fma.f64 2/3 (.f64 (.f64 (pow.f64 a 4) 3/2) (.f64 (+.f64 (.f64 (pow.f64 a 4) (.f64 7/12 a)) (-.f64 (.f64 (pow.f64 a 5) 2/3) (.f64 (pow.f64 (.f64 (pow.f64 a 4) 3/2) 2) (.f64 1/3 (cbrt.f64 (/.f64 1 a)))))) (cbrt.f64 (/.f64 1 (pow.f64 a 5))))) (.f64 (/.f64 1/27 a) (/.f64 (.f64 27/8 (pow.f64 (pow.f64 a 4) 3)) a)))) a)) (fma.f64 a x (.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 (.f64 x x) (.f64 (pow.f64 a 4) 3/2)) (.f64 (/.f64 (pow.f64 x 3) a) (/.f64 (+.f64 (.f64 (pow.f64 a 4) (.f64 7/12 a)) (-.f64 (.f64 (pow.f64 a 5) 2/3) (.f64 (pow.f64 (.f64 (pow.f64 a 4) 3/2) 2) (*.f64 1/3 (cbrt.f64 (/.f64 1 a)))))) a))))))
(-.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 a 3) (pow.f64 x 3))
(+.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 4)) (*.f64 (pow.f64 a 3) (pow.f64 x 3)))
(fma.f64 (.f64 3/2 (pow.f64 x 4)) (pow.f64 a 4) (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(fma.f64 (pow.f64 x 4) (.f64 (pow.f64 a 4) 3/2) (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(+.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/2 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5)))) (pow.f64 a 5)) (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 (.f64 3/2 (pow.f64 x 4)) (pow.f64 a 4) (fma.f64 (fma.f64 (.f64 (pow.f64 x 4) 7/12) x (.f64 (pow.f64 x 5) 2/3)) (pow.f64 a 5) (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 (.f64 (pow.f64 x 4) 3/2) (pow.f64 a 4) (fma.f64 (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (.f64 (pow.f64 x 5) 2/3)) (pow.f64 a 5) (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 4)) (+.f64 (.f64 (pow.f64 a 6) (+.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5))) x) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 1/6 (pow.f64 x 6)) (.f64 1/24 (pow.f64 x 6)))))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/2 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5)))) (pow.f64 a 5)) (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 (.f64 3/2 (pow.f64 x 4)) (pow.f64 a 4) (fma.f64 (pow.f64 a 6) (fma.f64 (.f64 (pow.f64 x 5) 1/4) x (fma.f64 1/2 (.f64 (.f64 x x) (.f64 (pow.f64 x 4) 7/12)) (.f64 (pow.f64 x 6) 5/24))) (fma.f64 (fma.f64 (.f64 (pow.f64 x 4) 7/12) x (.f64 (pow.f64 x 5) 2/3)) (pow.f64 a 5) (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 (.f64 (pow.f64 x 4) 3/2) (pow.f64 a 4) (fma.f64 (fma.f64 1/2 (.f64 (pow.f64 x 6) 7/12) (fma.f64 x (.f64 1/4 (pow.f64 x 5)) (.f64 (pow.f64 x 6) 5/24))) (pow.f64 a 6) (fma.f64 (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (.f64 (pow.f64 x 5) 2/3)) (pow.f64 a 5) (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 (.f64 (pow.f64 x 4) 3/2) (pow.f64 a 4) (fma.f64 (fma.f64 1/2 (.f64 (pow.f64 x 6) 7/12) (fma.f64 (pow.f64 x 6) 5/24 (.f64 (pow.f64 x 5) (.f64 1/4 x)))) (pow.f64 a 6) (fma.f64 (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (.f64 (pow.f64 x 5) 2/3)) (pow.f64 a 5) (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 (+.f64 (*.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 4)))
(fma.f64 (.f64 3/2 (pow.f64 x 4)) (pow.f64 a 4) (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(fma.f64 (pow.f64 x 4) (.f64 (pow.f64 a 4) 3/2) (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (*.f64 1/6 (pow.f64 a 5)))) (pow.f64 x 5))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (.f64 3/2 (pow.f64 a 4)) (pow.f64 x 4) (.f64 (pow.f64 x 5) (fma.f64 1/2 (pow.f64 a 5) (fma.f64 a (.f64 (pow.f64 a 4) 7/12) (.f64 1/6 (pow.f64 a 5)))))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 x 5) (fma.f64 1/2 (pow.f64 a 5) (fma.f64 a (.f64 (pow.f64 a 4) 7/12) (.f64 1/6 (pow.f64 a 5)))) (.f64 (pow.f64 x 4) (.f64 (pow.f64 a 4) 3/2))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 x 5) (+.f64 (.f64 (pow.f64 a 4) (.f64 7/12 a)) (.f64 (pow.f64 a 5) 2/3)) (.f64 3/2 (*.f64 (pow.f64 x 4) (pow.f64 a 4)))))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 a (+.f64 (.f64 1/12 (pow.f64 a 5)) (.f64 1/6 (pow.f64 a 5)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))))) (+.f64 (.f64 1/6 (pow.f64 a 6)) (.f64 1/24 (pow.f64 a 6))))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (*.f64 1/6 (pow.f64 a 5)))) (pow.f64 x 5)))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (fma.f64 a (.f64 (pow.f64 a 5) 1/4) (fma.f64 1/2 (.f64 (.f64 a a) (.f64 (pow.f64 a 4) 7/12)) (.f64 (pow.f64 a 6) 5/24))) (pow.f64 x 6) (fma.f64 (.f64 3/2 (pow.f64 a 4)) (pow.f64 x 4) (.f64 (pow.f64 x 5) (fma.f64 1/2 (pow.f64 a 5) (fma.f64 a (.f64 (pow.f64 a 4) 7/12) (*.f64 1/6 (pow.f64 a 5))))))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 x 6) (fma.f64 a (.f64 1/4 (pow.f64 a 5)) (fma.f64 (pow.f64 a 6) 5/24 (.f64 1/2 (.f64 (pow.f64 a 6) 7/12)))) (fma.f64 (pow.f64 x 5) (fma.f64 1/2 (pow.f64 a 5) (fma.f64 a (.f64 (pow.f64 a 4) 7/12) (.f64 1/6 (pow.f64 a 5)))) (.f64 (pow.f64 x 4) (*.f64 (pow.f64 a 4) 3/2)))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 x 6) (fma.f64 a (.f64 1/4 (pow.f64 a 5)) (fma.f64 1/2 (.f64 (pow.f64 a 6) 7/12) (.f64 (pow.f64 a 6) 5/24))) (fma.f64 (pow.f64 x 5) (+.f64 (.f64 (pow.f64 a 4) (.f64 7/12 a)) (.f64 (pow.f64 a 5) 2/3)) (.f64 3/2 (.f64 (pow.f64 x 4) (pow.f64 a 4))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(+.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 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/3))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (pow.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))))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2)))
(.f64 (pow.f64 1 1/3) (expm1.f64 (.f64 a x)))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2) 1/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(/.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 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 a) x) 3)) (+.f64 (pow.f64 (exp.f64 a) x) (+.f64 1 (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)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(log.f64 (+.f64 1 (expm1.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))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 1))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (expm1.f64 (.f64 a x)) (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2)))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2) (pow.f64 (expm1.f64 (*.f64 a x)) 3/2))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2)))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (expm1.f64 (*.f64 a x)))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1) (expm1.f64 (.f64 a x)))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (sqrt.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 3) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 3) (expm1.f64 (*.f64 a x)))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 6))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(exp.f64 (.f64 3 (log.f64 (expm1.f64 (.f64 a x)))))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)

eval223.0ms (3.8%)

Compiler: Compiled 13807 to 8207 computations (40.6% saved)

prune75.0ms (1.3%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	491	4	495
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	491	9	500

Error

0.03%

Counts

500 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	71.64%	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
✓	54.95%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
▶	39.76%	(+.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) (*.f64 a x))
▶	54.99%	(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
✓	36.89%	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
▶	33.79%	(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))
✓	32.9%	(*.f64 a x)
▶	80.64%	(.f64 1/2 (.f64 a (.f64 (.f64 a x) x)))
✓	0.07%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 103 to 66 computations (35.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2%	(.f64 (.f64 a x) x)
✓	6.68%	(.f64 a (.f64 (*.f64 a x) x))

Compiler

Compiled 29 to 8 computations (72.4% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1342×	`add-sqr-sqrt`
1332×	`*-un-lft-identity`
1230×	`add-cube-cbrt`
1204×	`add-cbrt-cube`
1192×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	141	26
2	1781	26

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1676×	`log-prod`
1034×	`fma-def`
1010×	`associate-+r+`
972×	`associate-+l+`
954×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	1120
1	143	910
2	572	910
3	2843	910

Stop Event

1×	node limit

Counts

70 → 26

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (.f64 a (.f64 1/2 x)) 1)
✓	0.08%	(.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a)
✓	2.25%	(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series4.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite86.0ms (1.5%)

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	63
1	229	63
2	2840	63

Stop Event

1×	node limit

Counts

3 → 179

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

Outputs

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

simplify119.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1360×	`associate-/r/`
756×	`associate-r`
674×	`associate-l`
616×	`associate-/l*`
516×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	427	10081
1	1129	9029
2	5033	9025

Stop Event

1×	node limit

Counts

251 → 275

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

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

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.19%	(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
✓	0.2%	(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 a x))))
	15.37%	(sqrt.f64 (expm1.f64 (*.f64 a x)))
✓	15.47%	(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)

Compiler

Compiled 54 to 17 computations (68.5% saved)

series190.0ms (3.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
40.0ms	x	@	0	(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
30.0ms	x	@	-inf	(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
29.0ms	a	@	inf	(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
23.0ms	x	@	inf	(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 a x))))
14.0ms	a	@	-inf	(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)

rewrite67.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`add-sqr-sqrt`
1832×	`*-un-lft-identity`
1710×	`add-cube-cbrt`
1686×	`add-cbrt-cube`
226×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	113
1	240	45
2	2890	45

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

Inputs

(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)

(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 a x))))

(*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (*.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 a x)))))

Outputs

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

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

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

simplify92.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1062×	`associate-+r+`
960×	`associate-+l+`
800×	`+-commutative`
788×	`associate-/r*`
734×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	5258
1	1107	4934
2	4252	4924

Stop Event

1×	node limit

Counts

122 → 123

Calls

Call 1

Inputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2)))))))
(+.f64 (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (.f64 (+.f64 (.f64 1/64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (.f64 1/3072 (pow.f64 x 3)))) (.f64 (pow.f64 a 3) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (*.f64 1/128 (pow.f64 x 2))))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 a x))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 a x))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/64 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 1/3072 (pow.f64 a 3)))) (pow.f64 x 3))) (+.f64 (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 a x))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (*.f64 1/128 (pow.f64 a 2))) (pow.f64 x 2))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 a)) (log.f64 (pow.f64 x 3)))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 a)) (log.f64 (pow.f64 x 3))))) (.f64 1/4 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 a)) (log.f64 (pow.f64 x 3))))) (+.f64 (.f64 1/2 x) x)))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/6 (pow.f64 x 5)) (.f64 1/2 (pow.f64 x 5)))) (pow.f64 x 3))) (.f64 -1 (/.f64 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) 2) (pow.f64 x 6))))) (.f64 1/32 (pow.f64 (+.f64 (.f64 1/2 x) x) 2))) (.f64 (pow.f64 a 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 a)) (log.f64 (pow.f64 x 3))))))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 a)) (log.f64 (pow.f64 x 3))))) (.f64 1/4 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 a)) (log.f64 (pow.f64 x 3))))) (+.f64 (*.f64 1/2 x) x))))))
(+.f64 (.f64 (pow.f64 a 3) (.f64 (+.f64 (.f64 1/32 (.f64 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/6 (pow.f64 x 5)) (.f64 1/2 (pow.f64 x 5)))) (pow.f64 x 3))) (.f64 -1 (/.f64 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) 2) (pow.f64 x 6)))) (+.f64 (.f64 1/2 x) x))) (+.f64 (.f64 1/384 (pow.f64 (+.f64 (.f64 1/2 x) x) 3)) (.f64 1/24 (+.f64 (.f64 -6 (/.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/6 (pow.f64 x 5)) (.f64 1/2 (pow.f64 x 5))))) (pow.f64 x 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) 3) (pow.f64 x 9))) (.f64 6 (/.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5))) x) (+.f64 (.f64 1/6 (pow.f64 x 6)) (.f64 1/24 (pow.f64 x 6))))) (pow.f64 x 3)))))))) (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 a)) (log.f64 (pow.f64 x 3))))))) (+.f64 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/6 (pow.f64 x 5)) (.f64 1/2 (pow.f64 x 5)))) (pow.f64 x 3))) (.f64 -1 (/.f64 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) 2) (pow.f64 x 6))))) (.f64 1/32 (pow.f64 (+.f64 (.f64 1/2 x) x) 2))) (.f64 (pow.f64 a 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 a)) (log.f64 (pow.f64 x 3))))))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 a)) (log.f64 (pow.f64 x 3))))) (.f64 1/4 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 a)) (log.f64 (pow.f64 x 3))))) (+.f64 (*.f64 1/2 x) x)))))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 x)) (log.f64 (pow.f64 a 3)))))
(+.f64 (.f64 1/4 (.f64 (+.f64 (.f64 1/2 a) a) (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 x)) (log.f64 (pow.f64 a 3))))) x))) (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 x)) (log.f64 (pow.f64 a 3))))))
(+.f64 (.f64 1/4 (.f64 (+.f64 (.f64 1/2 a) a) (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 x)) (log.f64 (pow.f64 a 3))))) x))) (+.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 x)) (log.f64 (pow.f64 a 3))))) (.f64 (+.f64 (.f64 1/32 (pow.f64 (+.f64 (.f64 1/2 a) a) 2)) (.f64 1/8 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (.f64 1/6 (pow.f64 a 5)))) (pow.f64 a 3))) (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 2) (pow.f64 a 6)))))) (pow.f64 x 2))) (exp.f64 (.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 a 3)))))))
(+.f64 (.f64 1/4 (.f64 (+.f64 (.f64 1/2 a) a) (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 x)) (log.f64 (pow.f64 a 3))))) x))) (+.f64 (.f64 (pow.f64 x 3) (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 x)) (log.f64 (pow.f64 a 3))))) (+.f64 (.f64 1/384 (pow.f64 (+.f64 (.f64 1/2 a) a) 3)) (+.f64 (.f64 1/24 (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 3) (pow.f64 a 9))) (+.f64 (.f64 -6 (/.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (.f64 1/6 (pow.f64 a 5)))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4))) (pow.f64 a 6))) (.f64 6 (/.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))))) (+.f64 (.f64 a (+.f64 (.f64 1/12 (pow.f64 a 5)) (.f64 1/6 (pow.f64 a 5)))) (+.f64 (.f64 1/6 (pow.f64 a 6)) (.f64 1/24 (pow.f64 a 6))))) (pow.f64 a 3)))))) (.f64 1/32 (.f64 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (.f64 1/6 (pow.f64 a 5)))) (pow.f64 a 3))) (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 2) (pow.f64 a 6)))) (+.f64 (.f64 1/2 a) a))))))) (+.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 x)) (log.f64 (pow.f64 a 3))))) (.f64 (+.f64 (.f64 1/32 (pow.f64 (+.f64 (.f64 1/2 a) a) 2)) (.f64 1/8 (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (.f64 1/6 (pow.f64 a 5)))) (pow.f64 a 3))) (.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 2) (pow.f64 a 6)))))) (pow.f64 x 2))) (exp.f64 (.f64 1/4 (+.f64 (*.f64 3 (log.f64 x)) (log.f64 (pow.f64 a 3))))))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(*.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 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))) 1)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) (pow.f64 (expm1.f64 (*.f64 a x)) 1/8))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/4) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/4))
(.f64 (pow.f64 1 1/4) (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) 1/4) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/4))
(sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(fabs.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(exp.f64 (.f64 1/4 (log.f64 (expm1.f64 (.f64 a x)))))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (expm1.f64 (*.f64 a x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 3/4)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4) 1)
(pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4)) 2)
(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))))
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4)))
(exp.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4)))
(exp.f64 (.f64 (log.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4)))
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(-.f64 (pow.f64 (exp.f64 x) a) 1)
(/.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)) 2) 1/2)
(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))))
(log.f64 (+.f64 1 (expm1.f64 (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))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))

Outputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 1/8 (.f64 a (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2)))))))
(+.f64 (fma.f64 1/8 (.f64 a (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/8 (.f64 (.f64 x x) 1/12) (.f64 (*.f64 x x) 1/128)))))
(fma.f64 1/8 (.f64 a (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (.f64 x x) 1/128 (.f64 (*.f64 x x) 1/96))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (.f64 (+.f64 (.f64 1/64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (.f64 1/3072 (pow.f64 x 3)))) (.f64 (pow.f64 a 3) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (*.f64 1/128 (pow.f64 x 2))))))))
(fma.f64 1/8 (.f64 a (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (fma.f64 1/64 (.f64 x (.f64 (.f64 x x) 1/12)) (fma.f64 1/24 (.f64 (pow.f64 x 3) 0) (.f64 (pow.f64 x 3) 1/3072))) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (pow.f64 a 3)) (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/8 (.f64 (.f64 x x) 1/12) (.f64 (*.f64 x x) 1/128)))))))
(fma.f64 1/8 (.f64 a (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))) (+.f64 (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (fma.f64 (.f64 x x) 1/128 (.f64 (.f64 x x) 1/96)) (.f64 a a))) (.f64 (+.f64 (.f64 (fma.f64 1/64 (*.f64 (pow.f64 x 3) 1/12) (fma.f64 (pow.f64 x 3) 1/3072 0)) (pow.f64 a 3)) 1) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 1/8 (.f64 a (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))) (+.f64 (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (fma.f64 (.f64 x x) 1/128 (.f64 (.f64 x x) 1/96)) (.f64 a a))) (.f64 (+.f64 1 (.f64 (fma.f64 1/64 (*.f64 (pow.f64 x 3) 1/12) (fma.f64 (pow.f64 x 3) 1/3072 0)) (pow.f64 a 3))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 a x))))
(fma.f64 1/8 (.f64 a (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 a x))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 x 2)))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/8 (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 a x)) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 1/8 (.f64 (.f64 a a) 1/12) (.f64 (*.f64 a a) 1/128))))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 x (.f64 x (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96)))) (.f64 a (.f64 (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x)))) 1/8))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 x (.f64 x (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96)))) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 a x) 1/8))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/64 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 1/3072 (pow.f64 a 3)))) (pow.f64 x 3))) (+.f64 (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 a x))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (*.f64 1/128 (pow.f64 a 2))) (pow.f64 x 2))))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (pow.f64 x 3) (fma.f64 1/24 (.f64 (pow.f64 a 3) 0) (fma.f64 1/64 (.f64 a (.f64 (.f64 a a) 1/12)) (.f64 1/3072 (pow.f64 a 3))))) (fma.f64 1/8 (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 a x)) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 1/8 (.f64 (.f64 a a) 1/12) (.f64 (*.f64 a a) 1/128)))))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 x (.f64 x (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96)))) (.f64 a (.f64 (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x)))) 1/8))) (.f64 (+.f64 (+.f64 0 (.f64 (pow.f64 x 3) (fma.f64 1/64 (.f64 (pow.f64 a 3) 1/12) (.f64 1/3072 (pow.f64 a 3))))) 1) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 x (.f64 x (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96)))) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 a x) 1/8))) (.f64 (+.f64 (.f64 (pow.f64 x 3) (fma.f64 1/64 (.f64 (pow.f64 a 3) 1/12) (.f64 1/3072 (pow.f64 a 3)))) 1) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x)))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 a)) (log.f64 (pow.f64 x 3)))))
(pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 a) (*.f64 (log.f64 x) 3)))
(pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 a)) (log.f64 (pow.f64 x 3))))) (.f64 1/4 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 3 (log.f64 a)) (log.f64 (pow.f64 x 3))))) (+.f64 (.f64 1/2 x) x)))))
(+.f64 (.f64 (.f64 1/4 a) (.f64 (.f64 3/2 x) (pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 a) (.f64 (log.f64 x) 3))))) (pow.f64 (exp.f64 1/4) (fma.f64 3 (log.f64 a) (.f64 (log.f64 x) 3))))
(fma.f64 1/4 (.f64 a (.f64 (.f64 x 3/2) (pow.f64 (exp.f64 1/4) (.f64 3 (+.f64 (log.f64 a) (log.f64 x)))))) (pow.f64 (exp.f64 1/4) (*.f64 3 (+.f64 (log.f64 a) (log.f64 x)))))
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(/.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 (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 a) x) 3)) (+.f64 (pow.f64 (exp.f64 a) x) (+.f64 1 (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)) 2) 1/2)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(fabs.f64 (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))
(fabs.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(log.f64 (+.f64 1 (expm1.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))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 1))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.72%	(+.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) (*.f64 a x))
✓	20.75%	(.f64 (.f64 a a) (.f64 (.f64 1/2 x) x))

Compiler

Compiled 41 to 19 computations (53.7% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite99.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`unswap-sqr`
886×	`swap-sqr`
542×	`distribute-rgt-in`
498×	`distribute-lft-in`
400×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	237	46
2	3170	46

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs

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

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

simplify115.0ms (2%)

Algorithm

1×	egg-herbie

Rules

954×	`associate-/l/`
926×	`associate-/r/`
694×	`associate-r`
640×	`distribute-lft-neg-in`
618×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	10114
1	978	8602
2	4530	8594

Stop Event

1×	node limit

Counts

166 → 197

Calls

Call 1

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

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

eval451.0ms (7.7%)

Compiler: Compiled 22550 to 13636 computations (39.5% saved)

prune162.0ms (2.8%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	688	2	690
Fresh	0	0	0
Picked	1	0	1
Done	1	7	8
Total	690	9	699

Error

0.03%

Counts

699 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	71.64%	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
✓	54.95%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
▶	33.77%	(+.f64 (.f64 (.f64 x (.f64 x (.f64 a 1/2))) a) (*.f64 x a))
▶	55.17%	(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 3))
✓	36.89%	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
✓	33.79%	(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))
✓	32.9%	(*.f64 a x)
✓	80.64%	(.f64 1/2 (.f64 a (.f64 (.f64 a x) x)))
✓	0.07%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 99 to 66 computations (33.3% saved)

localize40.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.07%	(expm1.f64 (*.f64 a x))
✓	0.19%	(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 3))
✓	0.4%	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 3)
	15.47%	(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)

Compiler

Compiled 42 to 19 computations (54.8% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 3)
3.0ms	a	@	0	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 3)
1.0ms	a	@	inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 3)
1.0ms	x	@	-inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 3)
1.0ms	x	@	inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 3)

rewrite73.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1966×	`add-sqr-sqrt`
1930×	`*-un-lft-identity`
1820×	`add-cube-cbrt`
1798×	`add-cbrt-cube`
224×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	252	28
2	2890	28

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 3)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 3))

Outputs

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

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

simplify94.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1696×	`distribute-lft-in`
1674×	`distribute-rgt-in`
992×	`associate-+r+`
816×	`associate-+l+`
792×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	266	5476
1	864	4312
2	3434	4312

Stop Event

1×	node limit

Counts

90 → 96

Calls

Call 1

Inputs
(.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2))
(+.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2)) (.f64 a (+.f64 (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 1/4 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/32 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))) (+.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))))) (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))))))) (+.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2)) (.f64 a (+.f64 (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 1/4 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) x)))))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/32 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))) (+.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))))) (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))))))) (+.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2)) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/4 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))) x)))) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (.f64 1/3072 (pow.f64 x 3)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 1/4 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))) x)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 x (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))))) (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))))))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/24 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 3)))) (+.f64 (.f64 1/64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (.f64 1/3072 (pow.f64 x 3)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))) (.f64 a (+.f64 (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 1/4 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 1/4 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))))) x))
(+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 1/4 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))))) x) (.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))))))) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))) (+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/4 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))))) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/64 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 1/3072 (pow.f64 a 3)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/64 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 1/3072 (pow.f64 a 3)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))) (.f64 1/4 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) a)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))) (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))))))))))) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 1/4 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))))) x) (.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))))))) (pow.f64 x 2)))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(*.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 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))) 1)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4) 1)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 3/4))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/8) (pow.f64 (expm1.f64 (*.f64 a x)) 3/8))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1) (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (.f64 a x)) 1/8)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/8))
(.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) 3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/8) 3))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) 3) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(.f64 (pow.f64 1 3/4) (pow.f64 (expm1.f64 (.f64 a x)) 3/4))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 3/4) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 3/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 3/4) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/4))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))))
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4)))
(exp.f64 (.f64 3/4 (log.f64 (expm1.f64 (.f64 a x)))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 3/4))
(exp.f64 (.f64 (.f64 3/4 (log.f64 (expm1.f64 (*.f64 a x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4)))
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(-.f64 (pow.f64 (exp.f64 x) a) 1)
(/.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 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (+.f64 1 (expm1.f64 (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))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))

Outputs
(.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2))
(*.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2))
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(fma.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 a (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))))) 3/8) x (.f64 (.f64 x x) (fma.f64 1/32 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (.f64 a a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/8 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/128))) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/64 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/8 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/128)))))))))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 x (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3)) 3/8) (.f64 x (.f64 x (+.f64 (+.f64 (.f64 1/64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 a a))) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96))))) (fma.f64 1/32 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 a a)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96)))))))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (.f64 x x) (+.f64 (+.f64 (.f64 1/64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 a a))) (.f64 (.f64 2 (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3))) (fma.f64 1/32 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 a a)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96))))) (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3)) (.f64 3/8 x))))
(+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))) (+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/4 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))))) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/64 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 1/3072 (pow.f64 a 3)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/64 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 1/3072 (pow.f64 a 3)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))) (.f64 1/4 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) a)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))) (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))))))))))) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 1/4 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))))) x) (.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (pow.f64 a 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))))))) (pow.f64 x 2)))))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 x 3) (fma.f64 1/4 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 a (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))))) (fma.f64 1/8 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/128))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/24 (.f64 (pow.f64 a 3) 0) (fma.f64 1/64 (.f64 a (.f64 (.f64 a a) 1/12)) (.f64 (pow.f64 a 3) 1/3072)))) (fma.f64 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/24 (.f64 (pow.f64 a 3) 0) (fma.f64 1/64 (.f64 a (.f64 (.f64 a a) 1/12)) (.f64 (pow.f64 a 3) 1/3072)))) (.f64 1/4 (.f64 (fma.f64 1/8 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/128)) (.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2))))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (.f64 1/8 (.f64 a (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/64 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/8 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/128))))))))))) (fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 a (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))))) 3/8) x (.f64 (.f64 x x) (fma.f64 1/32 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (.f64 a a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/8 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/128))) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/64 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/8 (.f64 (.f64 a a) 1/12) (.f64 (*.f64 a a) 1/128))))))))))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (pow.f64 x 3) (+.f64 (fma.f64 (.f64 a 1/8) (+.f64 (.f64 1/64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 a a))) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96))))) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/4 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96)))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 0 (.f64 (fma.f64 1/64 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/3072)) 2)))))) (fma.f64 1/4 (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3)) (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 0 (fma.f64 1/64 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/3072)))))) (fma.f64 x (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3)) 3/8) (.f64 x (.f64 x (+.f64 (+.f64 (.f64 1/64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 a a))) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96))))) (fma.f64 1/32 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 a a)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (.f64 a a) 1/128 (.f64 (*.f64 a a) 1/96))))))))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (pow.f64 x 3) (+.f64 (fma.f64 1/8 (.f64 a (+.f64 (.f64 1/64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 a a))) (.f64 (.f64 2 (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3)))) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (+.f64 0 (.f64 (fma.f64 1/64 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/3072)) 2)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 1/4 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96)) a)))))) (fma.f64 1/4 (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3)) (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 0 (fma.f64 1/64 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/3072)))))) (fma.f64 (.f64 x x) (+.f64 (+.f64 (.f64 1/64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 a a))) (.f64 (.f64 2 (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3))) (fma.f64 1/32 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 a a)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96))))) (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 3)) (*.f64 3/8 x)))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3) 1/4)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3) 1/4)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3) 1/4)
(*.f64 a x)
(*.f64 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 x a))
(fma.f64 x a (.f64 (.f64 a a) (.f64 (.f64 x x) 1/2)))
(+.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 (.f64 a a) (.f64 x x)) (fma.f64 x a (.f64 (pow.f64 a 3) (*.f64 (pow.f64 x 3) 1/6))))
(+.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 (.f64 a a) (.f64 x x)) (fma.f64 x a (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 (pow.f64 a 3) (.f64 (pow.f64 x 3) 1/6)))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(*.f64 a x)
(*.f64 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 x a))
(fma.f64 x a (.f64 (.f64 a a) (.f64 (.f64 x x) 1/2)))
(+.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 (.f64 a a) (.f64 x x)) (fma.f64 x a (.f64 (pow.f64 a 3) (*.f64 (pow.f64 x 3) 1/6))))
(+.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 (.f64 a a) (.f64 x x)) (fma.f64 x a (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 (pow.f64 a 3) (.f64 (pow.f64 x 3) 1/6)))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))) 1)
(pow.f64 (expm1.f64 (*.f64 x a)) 3/4)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 x a))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/8) 6)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4) 1)
(pow.f64 (expm1.f64 (*.f64 x a)) 3/4)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 3/4))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/4)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/8) (pow.f64 (expm1.f64 (*.f64 a x)) 3/8))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/4)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 x a))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/8) 6)
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 x a)))) (.f64 (sqrt.f64 (expm1.f64 (.f64 x a))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/4))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/4)) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 x a)))) 4))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 x a))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/8) 6)
(.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1) (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 x a))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/8) 6)
(.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (.f64 a x)) 1/8)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/8))
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 x a))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/8) 6)
(.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 x a)))) (.f64 (sqrt.f64 (expm1.f64 (.f64 x a))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/4))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/4)) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 x a)))) 4))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) 3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/8) 3))
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 x a))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/8) 6)
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) 3) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 x a))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/8) 6)
(.f64 (pow.f64 1 3/4) (pow.f64 (expm1.f64 (.f64 a x)) 3/4))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/4)
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 3/4) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 3/4))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))) 3/2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 3/4) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) 3/4) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 3/4))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3/2))
(fabs.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3/4))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4)))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/4)
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4) 3))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/4)
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4)))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/4)
(exp.f64 (.f64 3/4 (log.f64 (expm1.f64 (.f64 a x)))))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/4)
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 3/4))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/4)
(exp.f64 (.f64 (.f64 3/4 (log.f64 (expm1.f64 (*.f64 a x)))) 1))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/4)
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4)))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/4)
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(expm1.f64 (*.f64 x a))
(-.f64 (pow.f64 (exp.f64 x) a) 1)
(expm1.f64 (*.f64 x a))
(/.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 (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 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) (*.f64 a 2)))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 4)
(expm1.f64 (*.f64 x a))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(expm1.f64 (*.f64 x a))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(expm1.f64 (*.f64 x a))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(expm1.f64 (*.f64 x a))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 2))
(fabs.f64 (expm1.f64 (*.f64 x a)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (*.f64 x a))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(expm1.f64 (*.f64 x a))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 x a))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 1))
(expm1.f64 (*.f64 x a))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2%	(.f64 x (.f64 x (*.f64 a 1/2)))
✓	4.72%	(+.f64 (.f64 (.f64 x (.f64 x (.f64 a 1/2))) a) (*.f64 x a))
✓	6.69%	(.f64 (.f64 x (.f64 x (.f64 a 1/2))) a)

Compiler

Compiled 45 to 24 computations (46.7% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite97.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`unswap-sqr`
950×	`swap-sqr`
582×	`distribute-rgt-in`
538×	`distribute-lft-in`
446×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	75
1	238	71
2	3183	71

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

Outputs

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

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

simplify139.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1020×	`associate-/l/`
966×	`associate-/r/`
876×	`associate-r`
734×	`associate-l`
486×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	12344
1	1115	10254
2	5275	10230

Stop Event

1×	node limit

Counts

210 → 218

Calls

Call 1

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

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

eval483.0ms (8.3%)

Compiler: Compiled 17883 to 9397 computations (47.5% saved)

prune77.0ms (1.3%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	476	2	478
Fresh	0	0	0
Picked	0	1	1
Done	3	5	8
Total	479	8	487

Error

0.03%

Counts

487 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	71.64%	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
	55.16%	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 4)
✓	54.95%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	33.77%	(+.f64 (.f64 (.f64 x (.f64 x (.f64 a 1/2))) a) (*.f64 x a))
	33.76%	(.f64 (+.f64 (.f64 x (.f64 a 1/2)) 1) (.f64 x a))
✓	32.9%	(*.f64 a x)
✓	80.64%	(.f64 1/2 (.f64 a (.f64 (.f64 a x) x)))
✓	0.07%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 79 to 55 computations (30.4% saved)

regimes33.0ms (0.6%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	a
8.0ms	x
6.0ms	(*.f64 a x)
2.0ms	(exp.f64 (*.f64 a x))
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Results

Error	Segments	Branch
0.07%	1	`a`
0.07%	1	`x`
0.07%	1	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
0.07%	1	`(exp.f64 (*.f64 a x))`
0.07%	1	`(*.f64 a x)`

Compiler

Compiled 165 to 83 computations (49.7% saved)

regimes46.0ms (0.8%)

Accuracy

Total -30.8b remaining (-146.3%)

Threshold costs -30.8b (-146.3%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

35.0ms	a
5.0ms	x
4.0ms	(*.f64 a x)

Results

Error	Segments	Branch
32.9%	1	`a`
32.9%	1	`x`
32.9%	1	`(*.f64 a x)`

Compiler

Compiled 84 to 45 computations (46.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	8	18

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness94.0ms (1.6%)

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)

end62.0ms (1.1%)

Remove: (sort a x)
Compiler: Compiled 21 to 12 computations (42.9% saved)

Details

analyze29.0ms (0.5%)

sample1.9s (32.6%)

preprocess39.0ms (0.7%)

simplify67.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite51.0ms (0.9%)

simplify52.0ms (0.9%)

eval9.0ms (0.1%)

prune10.0ms (0.2%)

localize3.0ms (0%)

localize12.0ms (0.2%)

series5.0ms (0.1%)

rewrite88.0ms (1.5%)

simplify169.0ms (2.9%)

localize8.0ms (0.1%)

series7.0ms (0.1%)

rewrite65.0ms (1.1%)

simplify53.0ms (0.9%)

localize10.0ms (0.2%)

series15.0ms (0.3%)

rewrite60.0ms (1%)

simplify67.0ms (1.2%)

eval223.0ms (3.8%)

prune75.0ms (1.3%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite54.0ms (0.9%)

simplify52.0ms (0.9%)

localize15.0ms (0.2%)

series4.0ms (0.1%)

rewrite86.0ms (1.5%)

simplify119.0ms (2%)

localize17.0ms (0.3%)

series190.0ms (3.2%)

rewrite67.0ms (1.2%)

simplify92.0ms (1.6%)

localize14.0ms (0.2%)

series2.0ms (0%)

rewrite99.0ms (1.7%)

simplify115.0ms (2%)

eval451.0ms (7.7%)

prune162.0ms (2.8%)

localize40.0ms (0.7%)

series9.0ms (0.1%)

rewrite73.0ms (1.2%)

simplify94.0ms (1.6%)

localize17.0ms (0.3%)

series2.0ms (0%)

rewrite97.0ms (1.7%)

simplify139.0ms (2.4%)

eval483.0ms (8.3%)

prune77.0ms (1.3%)

regimes33.0ms (0.6%)

regimes46.0ms (0.8%)

simplify4.0ms (0.1%)

soundness94.0ms (1.6%)

end62.0ms (1.1%)

Profiling