Details

analyze26.0ms (0.6%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.7s (35.3%)

Results

641.0ms	1499×	body	2048	valid
429.0ms	1804×	body	1024	valid
376.0ms	3803×	body	256	valid
174.0ms	1150×	body	512	valid
26.0ms	286×	body	256	infinite

Bogosity

preprocess43.0ms (0.9%)

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)

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.07%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.07%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.07%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite48.0ms (1%)

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))))))))

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

42 → 39

Calls

Call 1

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

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

eval9.0ms (0.2%)

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

prune6.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Error

0.06%

Counts

40 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	54.16%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
▶	1.22%	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	33.45%	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
▶	30.34%	(*.f64 a x)
✓	0.07%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 42 to 29 computations (31% saved)

localize3.0ms (0.1%)

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

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.85%	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
✓	8.52%	(.f64 (.f64 a a) (*.f64 1/2 x))

Compiler

Compiled 38 to 18 computations (52.6% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite73.0ms (1.6%)

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	50
1	220	46
2	3046	46

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

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

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

simplify88.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

994×	`distribute-lft-in`
990×	`distribute-rgt-in`
854×	`associate-/r*`
646×	`associate-/l/`
584×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	6695
1	654	6177
2	2869	6159

Stop Event

1×	node limit

Counts

131 → 126

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

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

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.07%	(expm1.f64 (*.f64 a x))
✓	0.65%	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	15.21%	(cbrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series15.0ms (0.3%)

Counts

2 → 32

Calls

12 calls:

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

rewrite57.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1676×	`associate-*r/`
1458×	`associate-*l/`
1158×	`associate-+r+`
1052×	`associate-+l+`
994×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1094
1	226	1094
2	760	1094
3	3323	1094

Stop Event

1×	node limit

Counts

78 → 54

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.07%	(expm1.f64 (*.f64 a x))
✓	0.22%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	14.6%	(sqrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series9.0ms (0.2%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
1.0ms	a	@	0	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
1.0ms	x	@	0	(sqrt.f64 (expm1.f64 (*.f64 a x)))
1.0ms	a	@	0	(sqrt.f64 (expm1.f64 (*.f64 a x)))

rewrite86.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

74 → 53

Calls

Call 1

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

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

eval94.0ms (2%)

Compiler: Compiled 6137 to 3225 computations (47.4% saved)

prune47.0ms (1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	308	3	311
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	309	7	316

Error

0.05%

Counts

316 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	54.9%	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)
✓	54.16%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	1.22%	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	30.87%	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
▶	81.25%	(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
✓	30.34%	(*.f64 a x)
✓	0.07%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 65 to 46 computations (29.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.02%	(.f64 1/2 (.f64 x x))
✓	6.64%	(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
✓	9.84%	(.f64 a (.f64 1/2 (*.f64 x x)))

Compiler

Compiled 29 to 13 computations (55.2% saved)

series6.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	a	@	inf	(.f64 a (.f64 1/2 (*.f64 x x)))
1.0ms	a	@	0	(.f64 a (.f64 1/2 (*.f64 x x)))
0.0ms	x	@	0	(.f64 a (.f64 1/2 (*.f64 x x)))
0.0ms	x	@	inf	(.f64 a (.f64 1/2 (*.f64 x x)))
0.0ms	x	@	inf	(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))

rewrite117.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1716×	`add-sqr-sqrt`
1698×	`*-un-lft-identity`
1576×	`add-cube-cbrt`
1554×	`add-cbrt-cube`
180×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	184	55
2	2224	55

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

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

Outputs

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

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

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

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1592×	`fma-def`
1494×	`log-prod`
930×	`unswap-sqr`
454×	`*-commutative`
440×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1953
1	234	1953
2	971	1879
3	3491	1879

Stop Event

1×	node limit

Counts

99 → 49

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 1/2 (.f64 a (*.f64 a x)))
✓	0.18%	(.f64 a (.f64 a x))
✓	1.85%	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))

Compiler

Compiled 40 to 14 computations (65% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite92.0ms (2%)

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	63
1	217	59
2	2934	59

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

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

Outputs

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

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

simplify124.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1390×	`associate-/l*`
1254×	`distribute-lft-in`
1232×	`distribute-rgt-in`
738×	`associate-/r*`
594×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	7278
1	715	6720
2	2822	6684

Stop Event

1×	node limit

Counts

176 → 159

Calls

Call 1

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

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.22%	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)
✓	0.41%	(cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
✓	0.42%	(pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3)
	14.6%	(sqrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 42 to 14 computations (66.7% saved)

series126.0ms (2.7%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
50.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3)
32.0ms	a	@	inf	(pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3)
15.0ms	x	@	inf	(pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3)
14.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3)
4.0ms	a	@	0	(pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3)

rewrite70.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

Outputs

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

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

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

simplify165.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

147 → 174

Calls

Call 1

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

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

eval349.0ms (7.4%)

Compiler: Compiled 17512 to 9741 computations (44.4% saved)

prune66.0ms (1.4%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	407	1	408
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	407	8	415

Error

0.05%

Counts

415 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	55.29%	(pow.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))) 3) 2)
✓	54.9%	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)
✓	54.16%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	1.22%	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	30.87%	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
✓	81.25%	(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
✓	30.34%	(*.f64 a x)
✓	0.07%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 86 to 61 computations (29.1% saved)

localize29.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.34%	(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
✓	0.42%	(pow.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))) 3)
✓	0.42%	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
✓	14.69%	(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)

Compiler

Compiled 78 to 39 computations (50% saved)

series40.0ms (0.9%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
7.0ms	a	@	inf	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
7.0ms	x	@	inf	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
7.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
2.0ms	a	@	0	(pow.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))) 3)

rewrite83.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`*-commutative`
886×	`unswap-sqr`
818×	`sqrt-prod`
550×	`swap-sqr`
440×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	98
1	268	68
2	3019	66

Stop Event

1×	node limit

Counts

4 → 149

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) (pow.f64 (expm1.f64 (.f64 a x)) 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) (sqrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24)) (pow.f64 (expm1.f64 (.f64 a x)) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/16) (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/8) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (pow.f64 (expm1.f64 (.f64 a x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (expm1.f64 (.f64 a x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6))) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))) (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))) (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (.f64 a x)) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/24)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)))))))
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(#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (expm1.f64 (.f64 a x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (.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 (expm1.f64 (.f64 a x)))) (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (cbrt.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 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(cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) (pow.f64 (expm1.f64 (.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 1/4) (pow.f64 1 1/4)) (sqrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) 1/4) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) 1/4)) (pow.f64 (expm1.f64 (.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (sqrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (fabs.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (cbrt.f64 (expm1.f64 (.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (cbrt.f64 (expm1.f64 (.f64 a x))))) (pow.f64 (expm1.f64 (.f64 a x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (.f64 (pow.f64 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(expm1.f64 (.f64 a x))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 2 a)) -1)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (.f64 2 a)) (+.f64 1 (pow.f64 (exp.f64 x) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (expm1.f64 (.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))) (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))) (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (.f64 a x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))))))

simplify153.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1412×	`associate-r`
1114×	`associate-l`
876×	`fma-def`
764×	`*-commutative`
598×	`distribute-rgt-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	564	4294979751
1	1670	10991
2	6681	9845

Stop Event

1×	node limit

Counts

245 → 286

Calls

Call 1

Inputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2)))))))
(+.f64 (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (.f64 (+.f64 (.f64 1/64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (.f64 1/3072 (pow.f64 x 3)))) (.f64 (pow.f64 a 3) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (*.f64 1/128 (pow.f64 x 2))))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 a x))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 a x))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/64 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 1/3072 (pow.f64 a 3)))) (pow.f64 x 3))) (+.f64 (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 a x))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (*.f64 1/128 (pow.f64 a 2))) (pow.f64 x 2))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(exp.f64 (*.f64 1/12 (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (.f64 1/24 (.f64 a (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/1152 (pow.f64 x 2)) (.f64 1/24 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))) (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 1/24 (.f64 a (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x))))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/1152 (pow.f64 x 2)) (.f64 1/24 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))) (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 (pow.f64 a 3) (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/72 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (+.f64 (.f64 1/576 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (.f64 1/82944 (pow.f64 x 3)))))) (+.f64 (.f64 1/24 (.f64 a (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(exp.f64 (*.f64 1/12 (+.f64 (log.f64 x) (log.f64 a))))
(+.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 1/24 (.f64 a (.f64 (exp.f64 (*.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) x))))
(+.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/24 (.f64 a (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/1152 (pow.f64 a 2)) (.f64 1/24 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/576 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (+.f64 (.f64 1/82944 (pow.f64 a 3)) (.f64 1/72 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))))) (pow.f64 x 3))) (+.f64 (.f64 1/24 (.f64 a (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/1152 (pow.f64 a 2)) (.f64 1/24 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
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(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (.f64 a x)) 1/24)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/24))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 1 1/4) (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
(.f64 (pow.f64 1 3/2) (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3/2) (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
(.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (fabs.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6))))
(.f64 (fabs.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (.f64 a x)) 1/24))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/24))
(.f64 (fabs.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))
(.f64 (fabs.f64 (pow.f64 1 1/4)) (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(.f64 (fabs.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) 1/4)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
(.f64 (fabs.f64 (pow.f64 1 3/2)) (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(.f64 (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3/2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
(.f64 (sqrt.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 3/2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/16))
(.f64 (sqrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (.f64 a x)) 1/4))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/24))
(.f64 (sqrt.f64 (.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)) 1/12)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4))) (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4))) (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4))) 1))))
(sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(fabs.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))))
(fabs.f64 (neg.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))))
(cbrt.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(exp.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(exp.f64 (.f64 (log.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) 3/2))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))) 1)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) 1)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) (pow.f64 (expm1.f64 (*.f64 a x)) 1/24))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) (sqrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))))
(.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/16))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/16) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/24)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/8) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/8))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 3/4))
(.f64 (fabs.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
(.f64 (sqrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12) 1/6))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))) (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))) (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))) 1))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12) 1)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1/2)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/8) 2/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/24) 2)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 3/2)
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 3)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/4)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/24)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(fabs.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))))
(fabs.f64 (neg.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))
(exp.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) 1)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (fabs.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1)
(.f64 1 (sqrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 3/2))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (.f64 (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)))) (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 3/2) (pow.f64 (expm1.f64 (*.f64 a x)) 1/8))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (.f64 (pow.f64 1 1/4) (pow.f64 1 1/4)) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) 1/4) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) 1/4)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (fabs.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (fabs.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (cbrt.f64 (expm1.f64 (.f64 a x))))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
(.f64 (fabs.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (.f64 a x)) 1/4))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
(.f64 (fabs.f64 (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (.f64 a x))))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6))
(.f64 (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) 1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 2 a)) -1)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) a))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 2 a)) (+.f64 1 (pow.f64 (exp.f64 x) a)))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(fabs.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))) (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))) (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))) 1))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12) 2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 2/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/24) 4)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 3)
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 6)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/2)
(sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(fabs.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))))
(cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(exp.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))

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

eval298.0ms (6.3%)

Compiler: Compiled 18316 to 10435 computations (43% saved)

prune154.0ms (3.3%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	438	2	440
Fresh	0	0	0
Picked	1	0	1
Done	0	7	7
Total	439	9	448

Error

0.03%

Counts

448 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	56.36%	(pow.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 7/6))))) 3) 2)
✓	54.9%	(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)
	56.84%	(pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 7/6)) 2)
✓	54.16%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	1.22%	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	30.87%	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
✓	81.25%	(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
✓	30.34%	(*.f64 a x)
✓	0.07%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 114 to 77 computations (32.5% saved)

regimes29.0ms (0.6%)

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 a x)
(.f64 a (.f64 a (.f64 1/2 (.f64 x x))))
(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 3) 2)
(pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 7/6)) 2)
(pow.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))) 3) 2)
(pow.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 7/6))))) 3) 2)

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 159 to 83 computations (47.8% saved)

regimes11.0ms (0.2%)

Accuracy

Total -32.7b remaining (-168.2%)

Threshold costs -32.7b (-168.2%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

4.0ms	x
3.0ms	a
3.0ms	(*.f64 a x)

Results

Error	Segments	Branch
30.34%	1	`a`
30.34%	1	`x`
30.34%	1	`(*.f64 a x)`

Compiler

Compiled 47 to 26 computations (44.7% saved)

simplify29.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	8	18

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness95.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 12 to 7 computations (41.7% saved)

end15.0ms (0.3%)

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

Details

analyze26.0ms (0.6%)

sample1.7s (35.3%)

preprocess43.0ms (0.9%)

simplify63.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite48.0ms (1%)

simplify50.0ms (1.1%)

eval9.0ms (0.2%)

prune6.0ms (0.1%)

localize3.0ms (0.1%)

localize16.0ms (0.3%)

series5.0ms (0.1%)

rewrite73.0ms (1.6%)

simplify88.0ms (1.9%)

localize8.0ms (0.2%)

series15.0ms (0.3%)

rewrite57.0ms (1.2%)

simplify54.0ms (1.2%)

localize8.0ms (0.2%)

series9.0ms (0.2%)

rewrite86.0ms (1.8%)

simplify61.0ms (1.3%)

eval94.0ms (2%)

prune47.0ms (1%)

localize9.0ms (0.2%)

series6.0ms (0.1%)

rewrite117.0ms (2.5%)

simplify69.0ms (1.5%)

localize15.0ms (0.3%)

series2.0ms (0%)

rewrite92.0ms (2%)

simplify124.0ms (2.6%)

localize17.0ms (0.4%)

series126.0ms (2.7%)

rewrite70.0ms (1.5%)

simplify165.0ms (3.5%)

eval349.0ms (7.4%)

prune66.0ms (1.4%)

localize29.0ms (0.6%)

series40.0ms (0.9%)

rewrite83.0ms (1.8%)

simplify153.0ms (3.3%)

eval298.0ms (6.3%)

prune154.0ms (3.3%)

regimes29.0ms (0.6%)

regimes11.0ms (0.2%)

simplify29.0ms (0.6%)

soundness95.0ms (2%)

end15.0ms (0.3%)

Profiling