Details

analyze28.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.3s (27.9%)

Results

873.0ms	1505×	body	2048	valid
598.0ms	1781×	body	1024	valid
492.0ms	3786×	body	256	valid
249.0ms	1184×	body	512	valid
24.0ms	282×	body	256	infinite

Bogosity

preprocess39.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a x)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (0.6%)

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))))))))

simplify51.0ms (0.6%)

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))

eval59.0ms (0.7%)

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

prune10.0ms (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
▶	19.5b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
▶	17.1b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	35.7b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
▶	19.9b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 41 to 28 computations (31.7% 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)
✓	20.0b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 25 to 10 computations (60% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite57.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	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)))))))

simplify84.0ms (1%)

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)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	1.7b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
✓	9.7b	(log.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 22 to 6 computations (72.7% saved)

series87.0ms (1.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	(log.f64 (expm1.f64 (*.f64 a x)))
24.0ms	a	@	inf	(log.f64 (expm1.f64 (*.f64 a x)))
20.0ms	a	@	-inf	(log.f64 (expm1.f64 (*.f64 a x)))
13.0ms	x	@	inf	(log.f64 (expm1.f64 (*.f64 a x)))
0.0ms	a	@	0	(log.f64 (expm1.f64 (*.f64 a x)))

rewrite62.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`add-sqr-sqrt`
1370×	`*-un-lft-identity`
1262×	`add-cube-cbrt`
1242×	`add-cbrt-cube`
1226×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	162	26
2	1740	26

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1072×	`associate-*r/`
1020×	`associate-/l*`
1020×	`fma-def`
840×	`associate-/r*`
760×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1780
1	381	1780
2	1806	1740
3	5121	1740

Stop Event

1×	node limit

Counts

88 → 78

Calls

Call 1

Inputs
(+.f64 (log.f64 a) (log.f64 x))
(+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (log.f64 x) (log.f64 a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))) (+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (log.f64 x) (log.f64 a))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))) (+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3))) (pow.f64 a 3))) (+.f64 (log.f64 x) (log.f64 a)))))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(+.f64 (log.f64 x) (log.f64 a))
(+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))) (pow.f64 x 2))) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))) (pow.f64 x 2))) (+.f64 (log.f64 a) (log.f64 x)))))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.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 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
(+.f64 0 (log.f64 (expm1.f64 (*.f64 a x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))
(-.f64 (+.f64 1 (log.f64 (expm1.f64 (*.f64 a x)))) 1)
(.f64 (log.f64 (expm1.f64 (.f64 a x))) 1)
(.f64 1 (log.f64 (expm1.f64 (.f64 a x))))
(.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 3)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (log.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (-.f64 (expm1.f64 (*.f64 a x)) 1))
(+.f64 1 (-.f64 (expm1.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)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
(pow.f64 (exp.f64 1) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
(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))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))

Outputs
(+.f64 (log.f64 a) (log.f64 x))
(+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (log.f64 x) (log.f64 a)))
(fma.f64 1/2 (*.f64 a x) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 1/2 (*.f64 a x) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 a (*.f64 x 1/2) (log.f64 x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))) (+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (log.f64 x) (log.f64 a))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 (.f64 x x) 1/12)) (fma.f64 1/2 (*.f64 a x) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (fma.f64 1/2 (.f64 a (.f64 a (.f64 x (.f64 x 1/12)))) (log.f64 a)) (fma.f64 1/2 (*.f64 a x) (log.f64 x)))
(fma.f64 1/2 (.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x 1/12))))) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 1/2 (.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x 1/12))))) (log.f64 x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))) (+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3))) (pow.f64 a 3))) (+.f64 (log.f64 x) (log.f64 a)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 (.f64 x x) 1/12)) (fma.f64 1/2 (*.f64 a x) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (fma.f64 1/2 (.f64 a (.f64 a (.f64 x (.f64 x 1/12)))) (log.f64 a)) (fma.f64 1/2 (*.f64 a x) (log.f64 x)))
(fma.f64 1/2 (.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x 1/12))))) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 1/2 (.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x 1/12))))) (log.f64 x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 x) (log.f64 a))
(+.f64 (log.f64 a) (log.f64 x))
(+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (log.f64 a) (log.f64 x)))
(fma.f64 1/2 (*.f64 a x) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 1/2 (*.f64 a x) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 a (*.f64 x 1/2) (log.f64 x)))
(+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))) (pow.f64 x 2))) (+.f64 (log.f64 a) (log.f64 x))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 (.f64 x x) 1/12)) (fma.f64 1/2 (*.f64 a x) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (fma.f64 1/2 (.f64 a (.f64 a (.f64 x (.f64 x 1/12)))) (log.f64 a)) (fma.f64 1/2 (*.f64 a x) (log.f64 x)))
(fma.f64 1/2 (.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x 1/12))))) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 1/2 (.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x 1/12))))) (log.f64 x)))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))) (pow.f64 x 2))) (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 (.f64 x x) 1/12)) (fma.f64 1/2 (*.f64 a x) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (fma.f64 1/2 (.f64 a (.f64 a (.f64 x (.f64 x 1/12)))) (log.f64 a)) (fma.f64 1/2 (*.f64 a x) (log.f64 x)))
(fma.f64 1/2 (.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x 1/12))))) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 1/2 (.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x 1/12))))) (log.f64 x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (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 (.f64 a a) (.f64 x x))))
(.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 x 3) (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (.f64 (pow.f64 a 3) (*.f64 (pow.f64 x 3) 1/6))))
(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 x 3) (pow.f64 a 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 (pow.f64 a 3) (.f64 (pow.f64 x 3) 1/6)))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 a 3)) (fma.f64 (pow.f64 a 4) (.f64 1/24 (pow.f64 x 4)) (.f64 a x))))
(fma.f64 a x (fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 a 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 1/2 (.f64 (.f64 a a) (.f64 x x))))
(.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 x 3) (pow.f64 a 3)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (.f64 (pow.f64 a 3) (*.f64 (pow.f64 x 3) 1/6))))
(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 x 3) (pow.f64 a 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 (pow.f64 a 3) (.f64 (pow.f64 x 3) 1/6)))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 a 3)) (fma.f64 (pow.f64 a 4) (.f64 1/24 (pow.f64 x 4)) (.f64 a x))))
(fma.f64 a x (fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 a 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 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(+.f64 0 (log.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (+.f64 1 (log.f64 (expm1.f64 (*.f64 a x)))) 1)
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 (log.f64 (expm1.f64 (.f64 a x))) 1)
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 1 (log.f64 (expm1.f64 (.f64 a x))))
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2))
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1)
(log.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2)
(log.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 3)
(log.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 3) 1/3)
(log.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 2))
(log.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 3))
(log.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(log1p.f64 (-.f64 (expm1.f64 (*.f64 a x)) 1))
(log1p.f64 (+.f64 (expm1.f64 (*.f64 a x)) -1))
(log1p.f64 (+.f64 (pow.f64 (exp.f64 x) a) -2))
(+.f64 1 (-.f64 (expm1.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 (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)))))
(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))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
(pow.f64 (exp.f64 1) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (log.f64 (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))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))

localize3.0ms (0%)

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))
✓	0.8b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
✓	9.1b	(.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
2.0ms	x	@	0	(.f64 (.f64 a a) (*.f64 1/2 x))
1.0ms	x	@	inf	(.f64 (.f64 a a) (*.f64 1/2 x))
1.0ms	a	@	0	(.f64 (.f64 a a) (*.f64 1/2 x))
0.0ms	a	@	inf	(.f64 (.f64 a a) (*.f64 1/2 x))
0.0ms	x	@	-inf	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))

rewrite95.0ms (1.2%)

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

simplify1.5s (18.4%)

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)
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(.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a)
(/.f64 (fma.f64 a (.f64 a (.f64 1/2 x)) a) (/.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2)))) (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))))
(/.f64 1 (/.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 a (.f64 a (.f64 a (*.f64 x -1/2)))))
(/.f64 (+.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 (fma.f64 a a (.f64 (.f64 a (.f64 a (.f64 1/2 x))) (-.f64 (.f64 a (.f64 a (.f64 1/2 x))) a))) (/.f64 (fma.f64 a a (.f64 (.f64 a (.f64 a (.f64 1/2 x))) (-.f64 (.f64 a (.f64 a (.f64 1/2 x))) a))) (fma.f64 a (.f64 a (.f64 1/2 x)) a)))
(/.f64 (sqrt.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)))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (*.f64 1/4 (pow.f64 a 4)))))))
(/.f64 (sqrt.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))) (sqrt.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 a (.f64 a (*.f64 1/2 x))) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))))) (cbrt.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)))) (cbrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 3))) (cbrt.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))) (cbrt.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 a (.f64 a (*.f64 1/2 x))) 3)))))
(/.f64 (-.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 (pow.f64 (.f64 a a) 3) (.f64 (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 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))) (-.f64 (pow.f64 a 3) (pow.f64 (.f64 a (.f64 a (*.f64 1/2 x))) 3))))
(/.f64 (-.f64 (pow.f64 a 4) (.f64 (.f64 (.f64 (pow.f64 x 3) x) 1/16) (.f64 (pow.f64 a 4) (pow.f64 a 4)))) (.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2)))) (+.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 3) 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))) (+.f64 (pow.f64 (.f64 a a) 3) (.f64 (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 3) (-.f64 (pow.f64 (.f64 a (.f64 a (*.f64 1/2 x))) 3) (pow.f64 a 3))))))
(/.f64 (-.f64 (pow.f64 (.f64 a a) 3) (pow.f64 (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))) 3)) (.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2)))) (+.f64 (pow.f64 a 4) (.f64 (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))) (+.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))))))))
(/.f64 (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 (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 (+.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 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 (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 (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 (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 (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)) 1) (-.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))))) 1) (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))) 1) (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 (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))))) (sqrt.f64 (fma.f64 a (.f64 a (.f64 1/2 x)) a))) (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))) (sqrt.f64 (fma.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 (cbrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))))) (pow.f64 (cbrt.f64 (fma.f64 a (.f64 a (.f64 1/2 x)) a)) 2)) (cbrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 3))) (pow.f64 (cbrt.f64 (fma.f64 a (.f64 a (.f64 1/2 x)) a)) 2)) (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 (pow.f64 a 4) (.f64 (.f64 (.f64 (pow.f64 x 3) x) 1/16) (.f64 (pow.f64 a 4) (pow.f64 a 4)))) (/.f64 1 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2)))))) (+.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a a) 3) (pow.f64 (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))) 3)) (/.f64 1 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2)))))) (+.f64 (pow.f64 a 4) (.f64 (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4))) (+.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 a a) 3) (.f64 (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 3) (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 3))) (/.f64 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 (pow.f64 a 3) (pow.f64 (.f64 a (.f64 a (*.f64 1/2 x))) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 3) 3)) (/.f64 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 (pow.f64 (.f64 a a) 3) (.f64 (pow.f64 (.f64 a (.f64 a (.f64 1/2 x))) 3) (-.f64 (pow.f64 (.f64 a (.f64 a (*.f64 1/2 x))) 3) (pow.f64 a 3)))))
(/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) 1) (+.f64 a (.f64 a (.f64 a (*.f64 x -1/2)))))
(/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) (sqrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2)))))) (sqrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))))
(/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) (.f64 (cbrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))) (cbrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))))) (cbrt.f64 (+.f64 a (.f64 a (.f64 a (.f64 x -1/2))))))
(/.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (.f64 x x) (.f64 1/4 (pow.f64 a 4)))) (+.f64 (.f64 a (sqrt.f64 (.f64 1/2 x))) (sqrt.f64 a))) (-.f64 (sqrt.f64 a) (.f64 a (sqrt.f64 (.f64 1/2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 a 3) (pow.f64 (.f64 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))
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(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)

eval192.0ms (2.4%)

Compiler: Compiled 12276 to 6929 computations (43.6% saved)

prune77.0ms (0.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	501	4	505
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	503	7	510

Error

Counts

510 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.4b	(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
▶	17.4b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
▶	17.4b	(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))
✓	17.1b	(*.f64 a x)
▶	51.8b	(.f64 1/2 (.f64 a (.f64 (.f64 a x) x)))
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	35.7b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 72 to 47 computations (34.7% saved)

localize8.0ms (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)
✓	2.3b	(.f64 a (.f64 (*.f64 a x) x))

Compiler

Compiled 29 to 8 computations (72.4% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite63.0ms (0.8%)

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)))))))

simplify63.0ms (0.8%)

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))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 a (.f64 1/2 x)) 1)
✓	0.0b	(.f64 (+.f64 (.f64 a (*.f64 1/2 x)) 1) a)
✓	0.8b	(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))

Compiler

Compiled 41 to 27 computations (34.1% saved)

series4.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite143.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	229	63
2	2840	63

Stop Event

1×	node limit

Counts

3 → 179

Calls

Call 1

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

Outputs

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

simplify151.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

251 → 275

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 a (*.f64 a x)))
✓	0.0b	(+.f64 a (.f64 1/2 (.f64 a (*.f64 a x))))
✓	0.1b	(.f64 a (.f64 a x))
✓	0.8b	(.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	a	@	-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	x	@	-inf	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))

rewrite102.0ms (1.3%)

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

simplify208.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1408×	`associate-/r/`
898×	`associate-r`
854×	`associate-l`
700×	`associate-/l*`
504×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	495	14298
1	1315	13382
2	6025	13382

Stop Event

1×	node limit

Counts

296 → 301

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

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
✓	0.2b	(pow.f64 (expm1.f64 (*.f64 a x)) 2)
✓	9.7b	(cbrt.f64 (expm1.f64 (*.f64 a x)))
✓	24.4b	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/3)

Compiler

Compiled 46 to 18 computations (60.9% saved)

series21.0ms (0.3%)

Counts

4 → 80

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(cbrt.f64 (expm1.f64 (*.f64 a x)))
2.0ms	a	@	inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/3)
1.0ms	x	@	inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/3)
1.0ms	a	@	-inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/3)
1.0ms	x	@	-inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/3)

rewrite83.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1972×	`add-sqr-sqrt`
1940×	`*-un-lft-identity`
1814×	`add-cube-cbrt`
1794×	`add-cbrt-cube`
232×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	94
1	263	64
2	2933	64

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (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))) (cbrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((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 (sqrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 2/3) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 2/3) (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 2/3) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 (.f64 a x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/12) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/6) (cbrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 4)) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (.f64 a x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (expm1.f64 (.f64 a x)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 (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 1 (pow.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 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (.f64 (sqrt.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)) (sqrt.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)) (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 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 4)) 1) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 4)) (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2))))) (#(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 (pow.f64 (expm1.f64 (.f64 a x)) 2) 3))))) (#(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 (pow.f64 (exp.f64 x) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 x) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) (+.f64 1 (.f64 (pow.f64 (exp.f64 x) a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (.f64 a x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/2)))) (#(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 (sqrt.f64 (expm1.f64 (.f64 a x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))

simplify96.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1404×	`associate-/r*`
1120×	`fma-def`
938×	`distribute-lft-in`
904×	`distribute-rgt-in`
878×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	4294971109
1	528	3893
2	2040	3815
3	7258	3815

Stop Event

1×	node limit

Counts

171 → 140

Calls

Call 1

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

eval445.0ms (5.5%)

Compiler: Compiled 19203 to 11396 computations (40.7% saved)

prune242.0ms (3%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	760	2	762
Fresh	0	0	0
Picked	0	1	1
Done	1	5	6
Total	761	8	769

Error

Counts

769 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.4b	(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
✓	17.4b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
▶	17.4b	(.f64 x (.f64 (-.f64 (+.f64 2 (.f64 x (.f64 a 1/2))) 1) a))
✓	17.4b	(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))
▶	51.8b	(.f64 x (.f64 (.f64 x (.f64 a 1/2)) a))
✓	17.1b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	35.7b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 87 to 58 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x (*.f64 a 1/2)) a)
✓	3.4b	(.f64 x (.f64 (.f64 x (.f64 a 1/2)) a))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1818×	`add-sqr-sqrt`
1802×	`*-un-lft-identity`
1672×	`add-cube-cbrt`
1638×	`add-cbrt-cube`
188×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	185	44
2	2271	44

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1056×	`fma-def`
1054×	`associate-*l/`
1036×	`associate-*r/`
806×	`*-commutative`
724×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1628
1	163	1628
2	661	1628
3	3051	1628
4	6101	1628

Stop Event

1×	node limit

Counts

74 → 34

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

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

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 2 (.f64 x (.f64 a 1/2))) 1)
✓	0.0b	(+.f64 2 (.f64 x (.f64 a 1/2)))
✓	0.0b	(.f64 (-.f64 (+.f64 2 (.f64 x (*.f64 a 1/2))) 1) a)
✓	0.8b	(.f64 x (.f64 (-.f64 (+.f64 2 (.f64 x (.f64 a 1/2))) 1) a))

Compiler

Compiled 55 to 39 computations (29.1% saved)

series2.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite119.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1478×	`associate-*r/`
1258×	`associate-*l/`
1066×	`distribute-lft-in`
284×	`add-sqr-sqrt`
270×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	112
1	282	90
2	3641	90

Stop Event

1×	node limit

Counts

4 → 316

Calls

Call 1

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

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

simplify642.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

1182×	`associate-r`
1100×	`associate-/l*`
970×	`associate-l`
684×	`*-commutative`
558×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	748	20164
1	2008	19046

Stop Event

1×	node limit

Counts

412 → 457

Calls

Call 1

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

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

eval353.0ms (4.3%)

Compiler: Compiled 14026 to 10262 computations (26.8% saved)

prune127.0ms (1.6%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	491	0	491
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	491	8	499

Error

Counts

499 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.4b	(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
✓	17.4b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
✓	17.4b	(.f64 x (.f64 (-.f64 (+.f64 2 (.f64 x (.f64 a 1/2))) 1) a))
✓	17.4b	(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))
✓	51.8b	(.f64 x (.f64 (.f64 x (.f64 a 1/2)) a))
✓	17.1b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	35.7b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 87 to 58 computations (33.3% saved)

regimes27.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	x
7.0ms	a
6.0ms	(*.f64 a x)
2.0ms	(exp.f64 (*.f64 a x))
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Results

Error	Segments	Branch
0.0b	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 131 to 71 computations (45.8% saved)

regimes16.0ms (0.2%)

Accuracy

Total -34.9b remaining (-204.2%)

Threshold costs -34.9b (-204.2%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

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

Results

Error	Segments	Branch
17.1b	1	`a`
17.1b	1	`x`
17.1b	1	`(*.f64 a x)`

Compiler

Compiled 80 to 46 computations (42.5% saved)

simplify4.0ms (0%)

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×	done
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)

soundness118.0ms (1.4%)

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)

end37.0ms (0.5%)

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

Details

analyze28.0ms (0.3%)

sample2.3s (27.9%)

preprocess39.0ms (0.5%)

simplify61.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite49.0ms (0.6%)

simplify51.0ms (0.6%)

eval59.0ms (0.7%)

prune10.0ms (0.1%)

localize9.0ms (0.1%)

series7.0ms (0.1%)

rewrite57.0ms (0.7%)

simplify84.0ms (1%)

localize8.0ms (0.1%)

series87.0ms (1.1%)

rewrite62.0ms (0.8%)

simplify72.0ms (0.9%)

localize3.0ms (0%)

localize12.0ms (0.1%)

series6.0ms (0.1%)

rewrite95.0ms (1.2%)

simplify1.5s (18.4%)

eval192.0ms (2.4%)

prune77.0ms (0.9%)

localize8.0ms (0.1%)

series4.0ms (0%)

rewrite63.0ms (0.8%)

simplify63.0ms (0.8%)

localize15.0ms (0.2%)

series4.0ms (0.1%)

rewrite143.0ms (1.8%)

simplify151.0ms (1.8%)

localize12.0ms (0.1%)

series2.0ms (0%)

rewrite102.0ms (1.3%)

simplify208.0ms (2.5%)

localize19.0ms (0.2%)

series21.0ms (0.3%)

rewrite83.0ms (1%)

simplify96.0ms (1.2%)

eval445.0ms (5.5%)

prune242.0ms (3%)

localize12.0ms (0.1%)

series1.0ms (0%)

rewrite63.0ms (0.8%)

simplify74.0ms (0.9%)

localize24.0ms (0.3%)

series2.0ms (0%)

rewrite119.0ms (1.5%)

simplify642.0ms (7.9%)

eval353.0ms (4.3%)

prune127.0ms (1.6%)

regimes27.0ms (0.3%)

regimes16.0ms (0.2%)

simplify4.0ms (0%)

soundness118.0ms (1.4%)

end37.0ms (0.5%)

Profiling