Details

analyze25.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.5s (25.7%)

Results

574.0ms	1437×	body	2048	valid
430.0ms	1830×	body	1024	valid
312.0ms	3785×	body	256	valid
180.0ms	1204×	body	512	valid
27.0ms	317×	body	256	infinite

Bogosity

preprocess38.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a x)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

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

Outputs

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

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

42 → 39

Calls

Call 1

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

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

eval8.0ms (0.1%)

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

prune6.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Error

0.0b

Counts

40 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	23.7b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
▶	19.4b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	17.3b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 42 to 29 computations (31% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.2b	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
✓	17.3b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 25 to 10 computations (60% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
1.0ms	a	@	0	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
1.0ms	x	@	0	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
0.0ms	a	@	-inf	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
0.0ms	a	@	inf	(pow.f64 (expm1.f64 (*.f64 a x)) 3)

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

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

Outputs

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

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

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

94 → 83

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))
✓	1.5b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
✓	8.6b	(.f64 (.f64 a a) (*.f64 1/2 x))

Compiler

Compiled 38 to 18 computations (52.6% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite90.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

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

Outputs

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

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

simplify143.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

247 → 266

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.4b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	10.7b	(cbrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series17.0ms (0.3%)

Counts

2 → 32

Calls

12 calls:

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

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify53.0ms (0.9%)

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))

eval176.0ms (3%)

Compiler: Compiled 11893 to 6730 computations (43.4% saved)

prune81.0ms (1.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	475	6	481
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	476	10	486

Error

0.0b

Counts

486 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	19.8b	(/.f64 x (/.f64 1 (fma.f64 a (.f64 a (.f64 1/2 x)) a)))
▶	51.4b	(.f64 (.f64 1/2 (.f64 a a)) (.f64 x x))
▶	19.7b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
▶	19.7b	(.f64 x (.f64 (+.f64 (.f64 a (.f64 1/2 x)) 1) a))
✓	19.4b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	17.3b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
▶	17.3b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)) 3))
	26.1b	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 3)))

Compiler

Compiled 179 to 127 computations (29.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
✓	0.2b	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)) 3)
✓	17.3b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)) 3))
	17.3b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 44 to 21 computations (52.3% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite56.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`add-sqr-sqrt`
1576×	`*-un-lft-identity`
1482×	`add-cube-cbrt`
1460×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	239	28
2	2123	28

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1102×	`associate-*r/`
1040×	`unswap-sqr`
858×	`associate-*l/`
820×	`*-commutative`
634×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2216
1	515	2192
2	2000	2154
3	6488	2154

Stop Event

1×	node limit

Counts

94 → 84

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 a a))
✓	17.1b	(.f64 (.f64 1/2 (.f64 a a)) (.f64 x x))

Compiler

Compiled 25 to 10 computations (60% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`add-sqr-sqrt`
1654×	`*-un-lft-identity`
1534×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	184	32
2	2243	32

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1788×	`associate-+r+`
1758×	`associate-+l+`
1098×	`log-prod`
724×	`unswap-sqr`
358×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	76	1250
1	181	1028
2	731	1028
3	2557	1028

Stop Event

1×	node limit

Counts

62 → 32

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 41 to 27 computations (34.1% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite70.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1486×	`associate-/l*`
942×	`*-commutative`
886×	`associate-/r*`
826×	`unswap-sqr`
782×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	245	5870
1	635	5270
2	2546	5270

Stop Event

1×	node limit

Counts

142 → 153

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 40 to 14 computations (65% saved)

series2.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite95.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 200

Calls

Call 1

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

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

simplify147.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

296 → 301

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a (.f64 a (.f64 1/2 x)) a)
✓	0.2b	(/.f64 1 (fma.f64 a (.f64 a (.f64 1/2 x)) a))
✓	1.6b	(/.f64 x (/.f64 1 (fma.f64 a (.f64 a (.f64 1/2 x)) a)))

Compiler

Compiled 44 to 26 computations (40.9% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite86.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`associate-*r/`
880×	`associate-*l/`
782×	`swap-sqr`
766×	`associate-/r*`
626×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	81
1	248	75
2	3116	75

Stop Event

1×	node limit

Counts

3 → 204

Calls

Call 1

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

Outputs

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

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

simplify131.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1110×	`associate-r`
872×	`associate-l`
770×	`distribute-lft-neg-in`
606×	`distribute-rgt-neg-in`
500×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	480	11114
1	1223	10216
2	5968	10216

Stop Event

1×	node limit

Counts

276 → 310

Calls

Call 1

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

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

eval408.0ms (6.8%)

Compiler: Compiled 23115 to 13681 computations (40.8% saved)

prune236.0ms (4%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	959	4	963
Fresh	1	0	1
Picked	1	0	1
Done	3	5	8
Total	964	9	973

Error

0.0b

Counts

973 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	51.2b	(/.f64 x (/.f64 2 (.f64 x (.f64 a a))))
▶	19.5b	(/.f64 x (/.f64 1 a))
▶	16.3b	(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
▶	19.7b	(+.f64 (.f64 (.f64 x (.f64 x (.f64 a 1/2))) a) (*.f64 x a))
✓	19.7b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
✓	19.4b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	17.3b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
✓	17.3b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)) 3))

Compiler

Compiled 89 to 61 computations (31.5% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x (*.f64 a 1/2)))
✓	5.0b	(+.f64 (.f64 (.f64 x (.f64 x (.f64 a 1/2))) a) (*.f64 x a))
✓	5.1b	(.f64 (.f64 x (.f64 x (.f64 a 1/2))) a)

Compiler

Compiled 45 to 24 computations (46.7% saved)

series3.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite94.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

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

Outputs

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

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

simplify189.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

210 → 218

Calls

Call 1

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

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

localize54.0ms (0.9%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 19 computations (32.1% saved)

series3.0ms (0%)

Counts

2 → 30

Calls

12 calls:

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

rewrite79.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 169

Calls

Call 1

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

Outputs

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

simplify141.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

644×	`+-commutative`
584×	`associate-r`
524×	`distribute-lft-neg-out`
514×	`associate-/l*`
512×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	452	9405
1	1335	8945
2	6036	8901

Stop Event

1×	node limit

Counts

199 → 259

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

872×	`distribute-lft-in`
862×	`associate-+r+`
836×	`distribute-rgt-in`
732×	`associate-+l+`
638×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	506
1	238	482
2	894	482
3	3244	482

Stop Event

1×	node limit

Counts

58 → 38

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 2 (.f64 x (.f64 a a)))
✓	3.5b	(/.f64 x (/.f64 2 (.f64 x (.f64 a a))))
✓	8.6b	(.f64 x (.f64 a a))

Compiler

Compiled 29 to 10 computations (65.5% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite94.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`associate-*r/`
1100×	`associate-*l/`
998×	`*-commutative`
936×	`associate-/l*`
588×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	197	57
2	2666	57

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

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

Outputs

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

simplify132.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1130×	`distribute-rgt-in`
1114×	`distribute-lft-in`
830×	`associate-r`
626×	`associate-l`
596×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	5707
1	1058	5677
2	4437	5665

Stop Event

1×	node limit

Counts

229 → 223

Calls

Call 1

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

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

eval353.0ms (5.9%)

Compiler: Compiled 17623 to 10150 computations (42.4% saved)

prune242.0ms (4.1%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	734	4	738
Fresh	0	0	0
Picked	0	1	1
Done	1	7	8
Total	735	12	747

Error

0.0b

Counts

747 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	51.2b	(/.f64 x (/.f64 2 (.f64 x (.f64 a a))))
✓	19.5b	(/.f64 x (/.f64 1 a))
✓	16.3b	(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
	49.6b	(-.f64 (+.f64 1 (*.f64 x a)) 1)
	59.9b	(-.f64 -2 (/.f64 4 (*.f64 a x)))
	19.7b	(.f64 (+.f64 (.f64 x (.f64 a 1/2)) 1) (.f64 x a))
✓	19.7b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
✓	19.4b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	17.3b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
✓	17.3b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)) 3))
	58.7b	-2

Compiler

Compiled 108 to 78 computations (27.8% saved)

regimes66.0ms (1.1%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

5 calls:

38.0ms	x
10.0ms	a
9.0ms	(*.f64 a x)
3.0ms	(exp.f64 (*.f64 a x))
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Results

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

Compiler

Compiled 190 to 106 computations (44.2% saved)

regimes26.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
7.0ms	a
6.0ms	(*.f64 a x)

Results

Error	Segments	Branch
16.3b	1	`a`
16.3b	1	`x`
16.3b	1	`(*.f64 a x)`

Compiler

Compiled 120 to 67 computations (44.2% saved)

regimes18.0ms (0.3%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(*.f64 a x)
4.0ms	x
4.0ms	a

Results

Error	Segments	Branch
19.4b	1	`a`
19.4b	1	`x`
16.6b	2	`(*.f64 a x)`

Compiler

Compiled 45 to 28 computations (37.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-122.35118335521935	-1.8251348759011703e-8

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes50.0ms (0.8%)

Accuracy

Total -44.9b remaining (-270.6%)

Threshold costs -44.9b (-270.6%)

Counts

3 → 2

Calls

Call 1

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

Outputs
-2
(*.f64 a x)

Calls

3 calls:

42.0ms	(*.f64 a x)
3.0ms	x
3.0ms	a

Results

Error	Segments	Branch
19.4b	1	`a`
19.4b	1	`x`
16.6b	2	`(*.f64 a x)`

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-122.35118335521935	-1.8251348759011703e-8

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	101
1	31	101
2	38	101
3	40	101
4	41	101

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
(if (<=.f64 (.f64 a x) -100) (-.f64 -2 (/.f64 4 (.f64 a x))) (*.f64 a x))
(if (<=.f64 (.f64 a x) -100) -2 (.f64 a x))
-2

Outputs
(expm1.f64 (*.f64 a x))
(/.f64 x (+.f64 (*.f64 -1/2 x) (/.f64 1 a)))
(/.f64 x (+.f64 (*.f64 x -1/2) (/.f64 1 a)))
(if (<=.f64 (.f64 a x) -100) (-.f64 -2 (/.f64 4 (.f64 a x))) (*.f64 a x))
(if (<=.f64 (.f64 a x) -100) (+.f64 -2 (/.f64 -4 (.f64 a x))) (*.f64 a x))
(if (<=.f64 (.f64 a x) -100) -2 (.f64 a x))
-2

Compiler

Compiled 50 to 32 computations (36% saved)

soundness105.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 12 to 7 computations (41.7% saved)

end43.0ms (0.7%)

Remove: (sort a x)
Compiler: Compiled 54 to 30 computations (44.4% saved)

Details

analyze25.0ms (0.4%)

sample1.5s (25.7%)

preprocess38.0ms (0.6%)

simplify58.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite47.0ms (0.8%)

simplify48.0ms (0.8%)

eval8.0ms (0.1%)

prune6.0ms (0.1%)

localize8.0ms (0.1%)

series4.0ms (0.1%)

rewrite55.0ms (0.9%)

simplify79.0ms (1.3%)

localize3.0ms (0%)

localize12.0ms (0.2%)

series5.0ms (0.1%)

rewrite90.0ms (1.5%)

simplify143.0ms (2.4%)

localize8.0ms (0.1%)

series17.0ms (0.3%)

rewrite55.0ms (0.9%)

simplify53.0ms (0.9%)

eval176.0ms (3%)

prune81.0ms (1.4%)

localize14.0ms (0.2%)

series2.0ms (0%)

rewrite56.0ms (0.9%)

simplify76.0ms (1.3%)

localize7.0ms (0.1%)

series3.0ms (0%)

rewrite54.0ms (0.9%)

simplify51.0ms (0.9%)

localize16.0ms (0.3%)

series4.0ms (0.1%)

rewrite70.0ms (1.2%)

simplify75.0ms (1.3%)

localize12.0ms (0.2%)

series2.0ms (0%)

rewrite95.0ms (1.6%)

simplify147.0ms (2.5%)

localize17.0ms (0.3%)

series5.0ms (0.1%)

rewrite86.0ms (1.4%)

simplify131.0ms (2.2%)

eval408.0ms (6.8%)

prune236.0ms (4%)

localize16.0ms (0.3%)

series3.0ms (0.1%)

rewrite94.0ms (1.6%)

simplify189.0ms (3.2%)

localize54.0ms (0.9%)

series3.0ms (0%)

rewrite79.0ms (1.3%)

simplify141.0ms (2.4%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite54.0ms (0.9%)

simplify51.0ms (0.8%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite94.0ms (1.6%)

simplify132.0ms (2.2%)

eval353.0ms (5.9%)

prune242.0ms (4.1%)

regimes66.0ms (1.1%)

regimes26.0ms (0.4%)

regimes18.0ms (0.3%)

bsearch0.0ms (0%)

regimes50.0ms (0.8%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness105.0ms (1.8%)

end43.0ms (0.7%)

Profiling