Details

analyze26.0ms (0.4%)

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)

sample1.6s (27.3%)

Results

629.0ms	1518×	body	2048	valid
428.0ms	1762×	body	1024	valid
327.0ms	3771×	body	256	valid
184.0ms	1205×	body	512	valid
24.0ms	292×	body	256	infinite

Bogosity

preprocess37.0ms (0.6%)

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)

simplify59.0ms (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))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite46.0ms (0.8%)

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))))))))

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

42 → 39

Calls

Call 1

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

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

eval10.0ms (0.2%)

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

prune6.0ms (0.1%)

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

0.0b

Counts

40 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.2b	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
▶	21.7b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
▶	20.6b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	16.2b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 42 to 29 computations (31% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.2b	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
✓	16.2b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 25 to 10 computations (60% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	200	28
2	2084	28

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 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 pow.f64 (expm1.f64 (.f64 a x)) 1)))) (#(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 pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 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 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 exp.f64 (.f64 (.f64 3 (log.f64 (expm1.f64 (.f64 a x)))) 1/3))))) (#(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 (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) 1)))) (#(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 (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 (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 (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)))))))

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 pow.f64 (expm1.f64 (*.f64 a x)) 1)))) (#(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 pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 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 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (*.f64 a x)))) 1/3))))) (#(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 (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) 1)))) (#(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 (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 (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 (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)))))))

simplify77.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1138×	`associate-*r/`
1120×	`unswap-sqr`
876×	`associate-*l/`
844×	`*-commutative`
704×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2216
1	521	2192
2	1948	2154
3	6401	2154

Stop Event

1×	node limit

Counts

94 → 83

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

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
✓	0.0b	(+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))
✓	1.5b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
✓	6.5b	(.f64 (.f64 a a) (*.f64 1/2 x))

Compiler

Compiled 38 to 18 computations (52.6% saved)

series6.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite89.0ms (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 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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)))))

simplify141.0ms (2.4%)

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
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.1b	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	10.4b	(sqrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series6.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

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

rewrite56.0ms (0.9%)

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))))))))

simplify52.0ms (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))

eval170.0ms (2.9%)

Compiler: Compiled 11847 to 6695 computations (43.5% saved)

prune76.0ms (1.3%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	473	7	480
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	474	11	485

Error

0.0b

Counts

485 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	34.6b	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)
✓	34.2b	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
	34.1b	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) 2)
▶	39.0b	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)) 2)
▶	24.9b	(+.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) (*.f64 a x))
▶	20.9b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
✓	20.6b	(*.f64 a x)
▶	50.9b	(.f64 1/2 (.f64 a (.f64 (.f64 a x) x)))
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	16.2b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
▶	16.2b	(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (expm1.f64 (*.f64 a x))))

Compiler

Compiled 203 to 141 computations (30.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.1b	(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (expm1.f64 (*.f64 a x)))
✓	0.2b	(pow.f64 (expm1.f64 (*.f64 a x)) 2)
✓	16.2b	(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (expm1.f64 (*.f64 a x))))

Compiler

Compiled 41 to 14 computations (65.9% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite60.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`add-sqr-sqrt`
1650×	`*-un-lft-identity`
1540×	`add-cube-cbrt`
1518×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	219	45
2	2245	45

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

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

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

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

simplify87.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1038×	`associate-*r/`
874×	`*-commutative`
736×	`associate-*l/`
718×	`distribute-lft-in`
672×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	3222
1	589	3192
2	2215	3142
3	6091	3142

Stop Event

1×	node limit

Counts

130 → 117

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

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 a (.f64 (.f64 a x) x)))
✓	0.1b	(.f64 (.f64 a x) x)
✓	2.6b	(.f64 a (.f64 (*.f64 a x) x))

Compiler

Compiled 29 to 8 computations (72.4% saved)

series6.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(.f64 1/2 (.f64 a (.f64 (.f64 a x) x)))
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)

rewrite59.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`add-sqr-sqrt`
1718×	`*-un-lft-identity`
1594×	`add-cube-cbrt`
1566×	`add-cbrt-cube`
186×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	184	45
2	2259	45

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1526×	`fma-def`
1200×	`log-prod`
796×	`unswap-sqr`
392×	`distribute-lft-neg-in`
392×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	96	2109
1	220	1665
2	891	1665
3	3248	1665

Stop Event

1×	node limit

Counts

111 → 46

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

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

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (.f64 1/2 (.f64 a (*.f64 a x))))
✓	0.0b	(.f64 1/2 (.f64 a (*.f64 a x)))
✓	0.1b	(.f64 a (.f64 a x))
✓	1.5b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))

Compiler

Compiled 40 to 14 computations (65% saved)

series2.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite95.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1174×	`unswap-sqr`
820×	`swap-sqr`
670×	`distribute-rgt-in`
666×	`associate-*r/`
632×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	88
1	217	80
2	2934	80

Stop Event

1×	node limit

Counts

4 → 200

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x a) (.f64 1/2 (pow.f64 (.f64 x a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x a) (.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x a) (.f64 1 (.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x a) (.f64 (.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) (.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) 1) (.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x a (.f64 1/2 (pow.f64 (.f64 x a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x a))) (-.f64 1 (.f64 1/2 (pow.f64 (.f64 x a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x a))) (-.f64 1 (.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) (exp.f64 (log1p.f64 (.f64 x a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a a (.f64 (pow.f64 (.f64 x (.f64 a a)) 2) -1/4)) (/.f64 (+.f64 a (.f64 (.f64 x a) (.f64 a -1/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3))) (/.f64 (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 a a (.f64 (pow.f64 (.f64 x (.f64 a a)) 2) -1/4))) (+.f64 a (.f64 (.f64 x a) (.f64 a -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 (pow.f64 a 3) (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3)))) (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 a a (.f64 (pow.f64 (.f64 x (.f64 a a)) 2) -1/4)) x) (+.f64 a (.f64 (.f64 x a) (.f64 a -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 a 3) (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3))) x) (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x a) 2) (.f64 1/4 (.f64 (.f64 x a) (pow.f64 (.f64 x a) 3)))) (+.f64 (.f64 x a) (.f64 -1/2 (pow.f64 (.f64 x a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x a) 3) (pow.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) 3)) (+.f64 (pow.f64 (.f64 x a) 2) (.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) (-.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) (.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 (.f64 1/4 (pow.f64 (.f64 x (.f64 a a)) 2)) (.f64 a a))) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1)))))) (#(struct:change #<rule 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(.f64 1 (.f64 (+.f64 (pow.f64 a 3) (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3))) x)) (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (pow.f64 (.f64 x a) 2) (.f64 1/4 (.f64 (.f64 x a) (pow.f64 (.f64 x a) 3))))) (+.f64 (.f64 x a) (.f64 -1/2 (pow.f64 (.f64 x a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (+.f64 (pow.f64 (.f64 x a) 3) (pow.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) 3))) (+.f64 (pow.f64 (.f64 x a) 2) (.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) (-.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) (.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x (sqrt.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a))) (sqrt.f64 (fma.f64 a a (.f64 (pow.f64 (.f64 x (.f64 a a)) 2) -1/4)))) (sqrt.f64 (+.f64 a (.f64 (.f64 x a) (.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x (sqrt.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a))) (sqrt.f64 (+.f64 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(fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (.f64 x a) 2) (.f64 1/4 (.f64 (.f64 x a) (pow.f64 (.f64 x a) 3)))) 1) (+.f64 (.f64 x a) (.f64 -1/2 (pow.f64 (.f64 x a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 x a) 3) (pow.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) 3)) 1) (+.f64 (pow.f64 (.f64 x a) 2) (.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) (-.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) (.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (fma.f64 a a (.f64 (pow.f64 (.f64 x (.f64 a a)) 2) -1/4))) (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)) x)) (sqrt.f64 (+.f64 a (.f64 (.f64 x a) (.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3)))) (.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)) x)) (sqrt.f64 (fma.f64 a a 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 (pow.f64 a 3) (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3))) x) 1) (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 (pow.f64 a 3) (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3))) x) (sqrt.f64 (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1)))))) (sqrt.f64 (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 (pow.f64 a 3) (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3))) x) (.f64 (cbrt.f64 (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1))))) (cbrt.f64 (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1))))))) (cbrt.f64 (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 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1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (fma.f64 a a (.f64 (pow.f64 (.f64 x (.f64 a a)) 2) -1/4))) (sqrt.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a))) (sqrt.f64 (+.f64 a (.f64 (.f64 x a) (.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 a 3) (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3)))) (sqrt.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a))) (sqrt.f64 (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (fma.f64 a a (.f64 (pow.f64 (.f64 x (.f64 a a)) 2) -1/4))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)) 2)) (cbrt.f64 (+.f64 a (.f64 (.f64 x a) (.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)) 2)) (cbrt.f64 (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 a (pow.f64 a 3)) (.f64 1/16 (.f64 (.f64 x (.f64 a a)) (pow.f64 (.f64 x (.f64 a a)) 3)))) (/.f64 1 (+.f64 a (.f64 (.f64 x a) (.f64 a -1/2))))) (+.f64 (.f64 1/4 (pow.f64 (.f64 x (.f64 a a)) 2)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (.f64 a a) 3) (pow.f64 (.f64 1/4 (pow.f64 (.f64 x (.f64 a a)) 2)) 3)) (/.f64 1 (+.f64 a (.f64 (.f64 x a) (.f64 a -1/2))))) (+.f64 (.f64 a (pow.f64 a 3)) (.f64 (.f64 1/4 (pow.f64 (.f64 x (.f64 a a)) 2)) (+.f64 (.f64 1/4 (pow.f64 (.f64 x (.f64 a a)) 2)) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (pow.f64 a 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 (.f64 x (.f64 a a)) 3) (pow.f64 (.f64 x (.f64 a a)) 3)) 1/64)) (/.f64 1 (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1)))))) (+.f64 (pow.f64 a 3) (.f64 -1/8 (pow.f64 (.f64 x (.f64 a a)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3)) 3)) (/.f64 1 (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1)))))) (+.f64 (.f64 (pow.f64 a 3) (pow.f64 a 3)) (.f64 (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3)) (-.f64 (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3)) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 a a (.f64 (pow.f64 (.f64 x (.f64 a a)) 2) -1/4)) 1) (+.f64 a (.f64 (.f64 x a) (.f64 a -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 a a (.f64 (pow.f64 (.f64 x (.f64 a a)) 2) -1/4)) (sqrt.f64 (+.f64 a (.f64 (.f64 x a) (.f64 a -1/2))))) (sqrt.f64 (+.f64 a (.f64 (.f64 x a) (.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 a a (.f64 (pow.f64 (.f64 x (.f64 a a)) 2) -1/4)) (.f64 (cbrt.f64 (+.f64 a (.f64 (.f64 x a) (.f64 a -1/2)))) (cbrt.f64 (+.f64 a (.f64 (.f64 x a) (.f64 a -1/2)))))) (cbrt.f64 (+.f64 a (.f64 (.f64 x a) (.f64 a -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 a a (.f64 (pow.f64 (.f64 x (.f64 a a)) 2) -1/4)) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 a (sqrt.f64 x))) (sqrt.f64 a))) (-.f64 (sqrt.f64 a) (.f64 (sqrt.f64 1/2) (.f64 a (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 a 3) (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3))) 1) (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 a 3) (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3))) (sqrt.f64 (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1)))))) (sqrt.f64 (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 a 3) (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3))) (.f64 (cbrt.f64 (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1))))) (cbrt.f64 (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1))))))) (cbrt.f64 (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 a a (.f64 (pow.f64 (.f64 x (.f64 a a)) 2) -1/4)) (neg.f64 (+.f64 a (.f64 (.f64 x a) (.f64 a -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 a 3) (.f64 1/8 (pow.f64 (.f64 x (.f64 a a)) 3))) (neg.f64 (fma.f64 a a (.f64 (.f64 a (.f64 (.f64 x a) 1/2)) (.f64 a (-.f64 (.f64 (.f64 a 1/2) x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (.f64 x (.f64 a a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 a a)) 1/2 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (.f64 a (.f64 (.f64 x a) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a (.f64 (.f64 x a) 1/2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 1/2) (.f64 a (sqrt.f64 x))) (.f64 (sqrt.f64 1/2) (.f64 a (sqrt.f64 x))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 a (.f64 (.f64 x a) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 (.f64 x a) 1/2))) 2) (cbrt.f64 (.f64 a (.f64 (.f64 x a) 1/2))) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (.f64 a (.f64 (.f64 x a) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a 1/2) (.f64 x a) a)))))

simplify145.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1400×	`associate-/r/`
896×	`associate-r`
858×	`associate-l`
700×	`associate-/l*`
506×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	495	14298
1	1316	13382
2	6027	13382

Stop Event

1×	node limit

Counts

296 → 300

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.4b	(+.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) (*.f64 a x))
✓	15.0b	(.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 (.f64 a a) (.f64 (.f64 1/2 x) x)) (*.f64 a x))
0.0ms	x	@	0	(+.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) (*.f64 a x))
0.0ms	x	@	-inf	(+.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) (*.f64 a x))
0.0ms	a	@	inf	(+.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) (*.f64 a x))
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) (*.f64 a x))

rewrite82.0ms (1.4%)

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))))))))

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

simplify111.0ms (1.9%)

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.1b	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)) 2)
✓	4.5b	(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
✓	11.1b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series87.0ms (1.5%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
29.0ms	a	@	inf	(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
24.0ms	x	@	-inf	(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
11.0ms	x	@	inf	(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
11.0ms	a	@	-inf	(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
6.0ms	x	@	0	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)) 2)

rewrite67.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`add-sqr-sqrt`
1826×	`*-un-lft-identity`
1714×	`add-cube-cbrt`
1690×	`add-cbrt-cube`
218×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	240	43
2	2685	43

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Outputs

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

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

simplify88.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1596×	`associate-*r/`
1434×	`fma-def`
1192×	`unswap-sqr`
964×	`*-commutative`
836×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	3094
1	544	2932
2	2101	2482
3	7733	2482

Stop Event

1×	node limit

Counts

120 → 105

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))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (.f64 3/4 (.f64 a (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 3/4 (.f64 a (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 9/32 (pow.f64 x 2)))))))
(+.f64 (.f64 3/4 (.f64 a (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (.f64 (+.f64 (.f64 1/4 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (+.f64 (.f64 9/128 (pow.f64 x 3)) (.f64 9/16 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)))) (.f64 (pow.f64 a 3) (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (*.f64 9/32 (pow.f64 x 2))))))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 x) (log.f64 a))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 3/4 (.f64 a (.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) x))))
(+.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 9/32 (pow.f64 a 2)) (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 3/4 (.f64 a (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) x)))))
(+.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 9/32 (pow.f64 a 2)) (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 3/4 (.f64 a (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 9/128 (pow.f64 a 3)) (+.f64 (.f64 1/4 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (.f64 9/16 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))))))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 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 (*.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 (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 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (sqrt.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 (pow.f64 1 1/3) (sqrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4) 1/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4) 1/3))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3)
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(fabs.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(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 (pow.f64 (expm1.f64 (.f64 a x)) 3/2)) 1/3))
(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 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2))) 1)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2) 1)
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (expm1.f64 (*.f64 a x)))
(.f64 (expm1.f64 (.f64 a x)) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 3/2))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4) (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (.f64 (expm1.f64 (.f64 a x)) (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (.f64 (expm1.f64 (.f64 a x)) (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 1 3/2) (pow.f64 (expm1.f64 (.f64 a x)) 3/2))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 3/2) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 3/2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/2))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(exp.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(-.f64 (pow.f64 (exp.f64 x) a) 1)
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (expm1.f64 (.f64 a x)) 1)
(.f64 1 (expm1.f64 (.f64 a x)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4) (sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (sqrt.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))) (.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))) (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))))
(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
(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)))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 a) (log.f64 x))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x)))
(*.f64 (pow.f64 x 3/2) (pow.f64 a 3/2))
(+.f64 (.f64 3/4 (.f64 a (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 3/4 (.f64 a (.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))))
(fma.f64 (.f64 a 3/4) (.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))))
(.f64 (+.f64 (.f64 x (.f64 a 3/4)) 1) (.f64 (pow.f64 x 3/2) (pow.f64 a 3/2)))
(+.f64 (.f64 3/4 (.f64 a (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 9/32 (pow.f64 x 2)))))))
(fma.f64 3/4 (.f64 a (.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))))) (+.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 3/4 (.f64 (.f64 x x) 1/12) (.f64 (*.f64 x x) 9/32))))))
(fma.f64 3/4 (.f64 a (.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (.f64 x x) 9/32 (.f64 (*.f64 x x) 1/16))) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 (pow.f64 x 3/2) (pow.f64 a 3/2) (.f64 (.f64 (pow.f64 x 3/2) (pow.f64 a 3/2)) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 x x) 11/32)) (.f64 x (.f64 a 3/4)))))
(+.f64 (.f64 3/4 (.f64 a (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (.f64 (+.f64 (.f64 1/4 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (+.f64 (.f64 9/128 (pow.f64 x 3)) (.f64 9/16 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)))) (.f64 (pow.f64 a 3) (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (*.f64 9/32 (pow.f64 x 2))))))))
(fma.f64 3/4 (.f64 a (.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (fma.f64 1/4 (.f64 (pow.f64 x 3) 0) (fma.f64 9/128 (pow.f64 x 3) (.f64 9/16 (.f64 x (.f64 (.f64 x x) 1/12))))) (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))) (pow.f64 a 3)) (+.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 3/4 (.f64 (.f64 x x) 1/12) (.f64 (*.f64 x x) 9/32)))))))
(fma.f64 3/4 (.f64 a (.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))))) (+.f64 (.f64 (fma.f64 (.f64 x x) 9/32 (.f64 (.f64 x x) 1/16)) (.f64 a (.f64 a (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (+.f64 (.f64 (+.f64 (fma.f64 9/16 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 3) 9/128)) 0) (pow.f64 a 3)) 1) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 (fma.f64 (fma.f64 9/16 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 3) 9/128)) (pow.f64 a 3) 1) (.f64 (pow.f64 x 3/2) (pow.f64 a 3/2)) (.f64 (.f64 (pow.f64 x 3/2) (pow.f64 a 3/2)) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 x x) 11/32)) (.f64 x (*.f64 a 3/4)))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 x) (log.f64 a))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x)))
(*.f64 (pow.f64 x 3/2) (pow.f64 a 3/2))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 3/4 (.f64 a (.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) x))))
(fma.f64 3/4 (.f64 a (.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))))
(fma.f64 (.f64 a 3/4) (.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))))
(.f64 (+.f64 (.f64 x (.f64 a 3/4)) 1) (.f64 (pow.f64 x 3/2) (pow.f64 a 3/2)))
(+.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 9/32 (pow.f64 a 2)) (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 3/4 (.f64 a (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) x)))))
(fma.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 9/32 (.f64 a a) (.f64 3/4 (.f64 (.f64 a a) 1/12)))) (fma.f64 3/4 (.f64 a (.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 a (.f64 (.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x)))) 3/4)) (.f64 (+.f64 (.f64 (.f64 x x) (fma.f64 (.f64 a a) 9/32 (.f64 (*.f64 a a) 1/16))) 1) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x)))))
(.f64 (.f64 (pow.f64 x 3/2) (pow.f64 a 3/2)) (+.f64 (.f64 x (.f64 a 3/4)) (fma.f64 x (.f64 x (.f64 (*.f64 a a) 11/32)) 1)))
(+.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 9/32 (pow.f64 a 2)) (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 3/4 (.f64 a (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 9/128 (pow.f64 a 3)) (+.f64 (.f64 1/4 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (.f64 9/16 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))))))))
(fma.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 9/32 (.f64 a a) (.f64 3/4 (.f64 (.f64 a a) 1/12)))) (+.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 3/4 (.f64 a (.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (pow.f64 x 3) (fma.f64 9/128 (pow.f64 a 3) (fma.f64 1/4 (.f64 (pow.f64 a 3) 0) (.f64 9/16 (.f64 a (.f64 (*.f64 a a) 1/12))))))))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (pow.f64 x 3) (fma.f64 9/128 (pow.f64 a 3) (fma.f64 9/16 (.f64 (pow.f64 a 3) 1/12) 0))) (.f64 a (.f64 (.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x)))) 3/4))) (.f64 (+.f64 (.f64 (.f64 x x) (fma.f64 (.f64 a a) 9/32 (.f64 (*.f64 a a) 1/16))) 1) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 (fma.f64 x (.f64 x (.f64 (.f64 a a) 11/32)) 1) (.f64 (pow.f64 x 3/2) (pow.f64 a 3/2)) (.f64 (.f64 (pow.f64 x 3/2) (pow.f64 a 3/2)) (+.f64 (.f64 x (.f64 a 3/4)) (.f64 (pow.f64 x 3) (fma.f64 9/16 (.f64 (pow.f64 a 3) 1/12) (*.f64 9/128 (pow.f64 a 3)))))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(-.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 (exp.f64 (log1p.f64 (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 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.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 (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 (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 1/3) (sqrt.f64 (expm1.f64 (.f64 a x))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4) 1/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4) 1/3))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/3)
(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 (expm1.f64 (*.f64 a x)) 1/2)
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 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)))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(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)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(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 (pow.f64 (expm1.f64 (.f64 a x)) 3/2)) 1/3))
(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 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2))) 1)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2) 1)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (expm1.f64 (*.f64 a x)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(.f64 (expm1.f64 (.f64 a x)) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 3/2))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4) (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(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))) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(.f64 (.f64 (expm1.f64 (.f64 a x)) (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(.f64 (.f64 (expm1.f64 (.f64 a x)) (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.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)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 4))
(.f64 (pow.f64 1 3/2) (pow.f64 (expm1.f64 (.f64 a x)) 3/2))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 3/2) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 3/2))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 3/2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/2))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(exp.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(exp.f64 (.f64 (log.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2)) 1))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(+.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 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(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 (pow.f64 (expm1.f64 (.f64 a x)) 3/4) (sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (sqrt.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))) (.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))) (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 a) x) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 x) (*.f64 a 2)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) (*.f64 a 2)))))
(sqrt.f64 (pow.f64 (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))
(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))

eval338.0ms (5.8%)

Compiler: Compiled 23461 to 12871 computations (45.1% saved)

prune172.0ms (2.9%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	880	2	882
Fresh	0	2	2
Picked	0	1	1
Done	0	8	8
Total	880	13	893

Error

0.0b

Counts

893 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.6b	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)
✓	34.2b	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
▶	34.1b	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) 2)
✓	39.0b	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)) 2)
✓	24.9b	(+.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) (*.f64 a x))
✓	20.9b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
✓	20.6b	(*.f64 a x)
✓	50.9b	(.f64 1/2 (.f64 a (.f64 (.f64 a x) x)))
▶	51.1b	(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	16.2b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
▶	44.0b	(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)))
✓	16.2b	(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (expm1.f64 (*.f64 a x))))

Compiler

Compiled 145 to 100 computations (31% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (expm1.f64 (*.f64 a x)) 2)
	0.2b	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
✓	10.2b	(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)))
✓	21.6b	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)

Compiler

Compiled 65 to 30 computations (53.8% saved)

series63.0ms (1.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	a	@	0	(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)))
19.0ms	a	@	-inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
15.0ms	x	@	0	(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (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)

rewrite310.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1990×	`add-sqr-sqrt`
1948×	`*-un-lft-identity`
1834×	`add-cube-cbrt`
1812×	`add-cbrt-cube`
226×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	22
1	316	22
2	2775	22

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)))

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

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1814×	`distribute-lft-in`
1810×	`distribute-rgt-in`
900×	`associate-+l+`
622×	`associate-/l*`
520×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	208	2973
1	625	2917
2	2717	2917

Stop Event

1×	node limit

Counts

95 → 70

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

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
✓	2.6b	(.f64 a (.f64 a (*.f64 x x)))
✓	8.3b	(.f64 a (.f64 x x))

Compiler

Compiled 29 to 8 computations (72.4% saved)

series1.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite60.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1482×	`log-prod`
1052×	`unswap-sqr`
448×	`distribute-lft-neg-in`
448×	`distribute-rgt-neg-in`
440×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	98	2109
1	223	1665
2	971	1665
3	3756	1665

Stop Event

1×	node limit

Counts

111 → 46

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.1b	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) 2)
	10.4b	(sqrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 39 to 10 computations (74.4% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) 2)
0.0ms	a	@	0	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) 2)
0.0ms	a	@	0	(expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
0.0ms	a	@	inf	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) 2)

rewrite59.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1708×	`add-sqr-sqrt`
1688×	`*-un-lft-identity`
1566×	`add-cube-cbrt`
1546×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	236	26
2	2219	26

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1466×	`associate-/l*`
1422×	`associate-/r*`
804×	`unswap-sqr`
694×	`*-commutative`
560×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1409
1	251	1369
2	918	1345
3	4487	1345

Stop Event

1×	node limit

Counts

79 → 59

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)
✓	0.2b	(cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
✓	0.3b	(pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3)
	10.4b	(sqrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 42 to 14 computations (66.7% saved)

series19.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3)
3.0ms	a	@	0	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)
3.0ms	a	@	0	(pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3)
3.0ms	x	@	0	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3)

rewrite66.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1888×	`add-sqr-sqrt`
1848×	`*-un-lft-identity`
1742×	`add-cube-cbrt`
1722×	`add-cbrt-cube`
204×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	266	43
2	2550	43

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

Outputs

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

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

simplify172.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1656×	`associate-+r+`
1226×	`associate-r`
898×	`+-commutative`
894×	`associate-l`
758×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	419	12873
1	1390	10053
2	5263	8115

Stop Event

1×	node limit

Counts

147 → 174

Calls

Call 1

Inputs
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))))
(+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))) (.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 1/6 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x)))) a))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))))) (+.f64 (.f64 (+.f64 (.f64 1/144 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))) (.f64 1/72 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 x 2)))))) (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))) (.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 1/6 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x)))) a)))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))))) (+.f64 (.f64 (+.f64 (.f64 1/144 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))) (.f64 1/72 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 x 2)))))) (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 1/6 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x)))) a) (.f64 (pow.f64 a 3) (+.f64 (.f64 (+.f64 (.f64 1/36 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 3)))) (+.f64 (.f64 1/144 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (.f64 1/10368 (pow.f64 x 3)))) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))))) (+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/36 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (+.f64 (.f64 1/144 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (.f64 1/10368 (pow.f64 x 3)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 1/6 (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x)))) (.f64 1/12 (.f64 (+.f64 (.f64 1/144 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))))))))))
(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 1/6 (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2))
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(.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 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/6) (.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/6) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1) (pow.f64 (expm1.f64 (.f64 a x)) 1/6))
(.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/6)) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6))
(.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/6) 3) (pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.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))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(fabs.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (+.f64 1 (expm1.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 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))) 1)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 1)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/6) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/3) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (pow.f64 1 1/3) (pow.f64 (expm1.f64 (.f64 a x)) 1/6))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 1/3))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 2)
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)) 3)
(sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(exp.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(exp.f64 (.f64 (log.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(-.f64 (pow.f64 (exp.f64 x) a) 1)
(.f64 (expm1.f64 (.f64 a x)) 1)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.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 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (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))) (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/6) 6) (pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 6) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)) 6))
(/.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))
(exp.f64 (.f64 (log.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) 6))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))

Outputs
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3)
(+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))) (.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 1/6 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x)))) a))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 a (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))) x) 1/4)))
(fma.f64 a (.f64 (.f64 x (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3)) 1/4) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))))) (+.f64 (.f64 (+.f64 (.f64 1/144 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))) (.f64 1/72 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 x 2)))))) (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))) (.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 1/6 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x)))) a)))
(fma.f64 (fma.f64 (fma.f64 1/12 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/288)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))) (fma.f64 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/12 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/288))) (.f64 1/144 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (.f64 x x)))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 1/72 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 x x)))))) (.f64 a a) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 a (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))) x) 1/4))))
(fma.f64 (.f64 a a) (fma.f64 (fma.f64 (.f64 x x) 1/288 (.f64 (.f64 x x) 1/144)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3) (fma.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 (.f64 x x) 1/288 (.f64 (.f64 x x) 1/144))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (.f64 (.f64 x x) 1/144))) (.f64 1/72 (.f64 (.f64 x (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3)) x)))) (fma.f64 a (.f64 (.f64 x (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3)) 1/4) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3)))
(fma.f64 (.f64 a a) (+.f64 (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (exp.f64 (.f64 (+.f64 (log.f64 a) (log.f64 x)) 1/3)) (+.f64 (.f64 2 (.f64 (.f64 x x) 1/96)) (.f64 (.f64 x x) 1/144)))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3) (+.f64 (.f64 (.f64 x x) 1/72) (.f64 (.f64 x x) 1/96)))) (fma.f64 a (.f64 (.f64 x (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3)) 1/4) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3)))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))))) (+.f64 (.f64 (+.f64 (.f64 1/144 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))) (.f64 1/72 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 x 2)))))) (pow.f64 a 2)) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 (+.f64 (.f64 1/12 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 1/6 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x)))) a) (.f64 (pow.f64 a 3) (+.f64 (.f64 (+.f64 (.f64 1/36 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 3)))) (+.f64 (.f64 1/144 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (.f64 1/10368 (pow.f64 x 3)))) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))))) (+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/36 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (+.f64 (.f64 1/144 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (.f64 1/10368 (pow.f64 x 3)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 1/6 (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x)))) (.f64 1/12 (.f64 (+.f64 (.f64 1/144 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))))))))))
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(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 1/6 (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2))
(*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3)
(+.f64 (.f64 (+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (.f64 1/6 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2))))) x) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2)))
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(fma.f64 x (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3) (.f64 a 1/4)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3))
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(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)))
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(exp.f64 (*.f64 1/6 (+.f64 (log.f64 a) (log.f64 x))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))
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(fma.f64 1/12 (.f64 (.f64 a (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))) x) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))
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(.f64 (+.f64 (.f64 (*.f64 a 1/12) x) 1) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))
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(.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 (.f64 a 1/12) x) (+.f64 1 (.f64 (.f64 (.f64 x x) 1/96) (*.f64 a a)))))
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(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))
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(-.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 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2))
(*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3)
(pow.f64 (exp.f64 (*.f64 (+.f64 (log.f64 a) (log.f64 x)) 1/3)) 3)
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(fma.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4) (.f64 2 (.f64 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))) x) 1/4))))
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(fma.f64 2 (.f64 a (.f64 (.f64 (.f64 x (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3)) 1/4) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3))) (fma.f64 (.f64 x x) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3) (fma.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/288 (.f64 a a) (.f64 1/144 (.f64 a a)))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (.f64 1/144 (.f64 a a)))) (fma.f64 1/72 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3) (fma.f64 1/288 (.f64 a a) (.f64 1/144 (.f64 a a))))))) (pow.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 3) (*.f64 a 1/4)) 2)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3)))
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(-.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 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) 1)
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (cbrt.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 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/6) (.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/6) (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 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 4))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (fabs.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1) (pow.f64 (expm1.f64 (.f64 a x)) 1/6))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/6)) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 4))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/6) 3) (pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 3))
(pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 6)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (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)))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(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)))
(log.f64 (+.f64 1 (expm1.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 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/6) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6))
(cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/3) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (pow.f64 1 1/3) (pow.f64 (expm1.f64 (.f64 a x)) 1/6))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 1/3))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/3)
(cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 2)
(cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(exp.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(exp.f64 (.f64 (log.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) 1))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) 1/3))
(cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(+.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 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (cbrt.f64 (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 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (cbrt.f64 (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 (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))) (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/6) 6) (pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 6))
(pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 12)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 6) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)) 6))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)) 6))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 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 x) a)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) (+.f64 1 (.f64 (pow.f64 (exp.f64 x) a) 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 2 a)) 1) (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) (*.f64 a 2)))))
(sqrt.f64 (pow.f64 (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))
(exp.f64 (.f64 (log.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) 6))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))

eval361.0ms (6.1%)

Compiler: Compiled 21062 to 12092 computations (42.6% saved)

prune112.0ms (1.9%)

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	518	1	519
Fresh	0	0	0
Picked	0	1	1
Done	1	11	12
Total	519	13	532

Error

0.0b

Counts

532 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	49.8b	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))) 3) 2)
✓	34.6b	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)
✓	34.2b	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	34.1b	(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) 2)
✓	39.0b	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)) 2)
✓	24.9b	(+.f64 (.f64 (.f64 a a) (.f64 (.f64 1/2 x) x)) (*.f64 a x))
✓	20.9b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
✓	20.6b	(*.f64 a x)
✓	50.9b	(.f64 1/2 (.f64 a (.f64 (.f64 a x) x)))
✓	51.1b	(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	16.2b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
✓	16.2b	(cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (expm1.f64 (*.f64 a x))))

Compiler

Compiled 141 to 100 computations (29.1% saved)

regimes76.0ms (1.3%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

46.0ms	(exp.f64 (*.f64 a x))
9.0ms	a
8.0ms	x
7.0ms	(*.f64 a x)
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Results

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

Compiler

Compiled 175 to 89 computations (49.1% saved)

regimes15.0ms (0.3%)

Accuracy

Total -30.6b remaining (-148.5%)

Threshold costs -30.6b (-148.5%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

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

Results

Error	Segments	Branch
20.6b	1	`a`
20.6b	1	`x`
20.6b	1	`(*.f64 a x)`

Compiler

Compiled 69 to 35 computations (49.3% saved)

simplify6.0ms (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)

soundness148.0ms (2.5%)

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)

end14.0ms (0.2%)

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

Details

analyze26.0ms (0.4%)

sample1.6s (27.3%)

preprocess37.0ms (0.6%)

simplify59.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite46.0ms (0.8%)

simplify49.0ms (0.8%)

eval10.0ms (0.2%)

prune6.0ms (0.1%)

localize9.0ms (0.1%)

series4.0ms (0.1%)

rewrite55.0ms (0.9%)

simplify77.0ms (1.3%)

localize3.0ms (0%)

localize12.0ms (0.2%)

series6.0ms (0.1%)

rewrite89.0ms (1.5%)

simplify141.0ms (2.4%)

localize8.0ms (0.1%)

series6.0ms (0.1%)

rewrite56.0ms (0.9%)

simplify52.0ms (0.9%)

eval170.0ms (2.9%)

prune76.0ms (1.3%)

localize11.0ms (0.2%)

series3.0ms (0%)

rewrite60.0ms (1%)

simplify87.0ms (1.5%)

localize7.0ms (0.1%)

series6.0ms (0.1%)

rewrite59.0ms (1%)

simplify61.0ms (1%)

localize12.0ms (0.2%)

series2.0ms (0%)

rewrite95.0ms (1.6%)

simplify145.0ms (2.5%)

localize15.0ms (0.2%)

series2.0ms (0%)

rewrite82.0ms (1.4%)

simplify111.0ms (1.9%)

localize14.0ms (0.2%)

series87.0ms (1.5%)

rewrite67.0ms (1.1%)

simplify88.0ms (1.5%)

eval338.0ms (5.8%)

prune172.0ms (2.9%)

localize20.0ms (0.3%)

series63.0ms (1.1%)

rewrite310.0ms (5.3%)

simplify69.0ms (1.2%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite60.0ms (1%)

simplify61.0ms (1%)

localize11.0ms (0.2%)

series2.0ms (0%)

rewrite59.0ms (1%)

simplify84.0ms (1.4%)

localize12.0ms (0.2%)

series19.0ms (0.3%)

rewrite66.0ms (1.1%)

simplify172.0ms (2.9%)

eval361.0ms (6.1%)

prune112.0ms (1.9%)

regimes76.0ms (1.3%)

regimes15.0ms (0.3%)

simplify6.0ms (0.1%)

soundness148.0ms (2.5%)

end14.0ms (0.2%)

Profiling