Details

analyze32.0ms (0.5%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.6s (23.8%)

Results

656.0ms	1542×	body	2048	valid
416.0ms	1724×	body	1024	valid
329.0ms	3878×	body	256	valid
179.0ms	1112×	body	512	valid
25.0ms	299×	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)

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (0.7%)

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))))))))

simplify88.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

42 → 39

Calls

Call 1

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

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

eval9.0ms (0.1%)

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

prune9.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	6	40

Error

0.0b

Counts

40 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.8b	(fma.f64 a x (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))))
▶	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	0.8b	(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
▶	21.8b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
▶	19.0b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))

Compiler

Compiled 118 to 72 computations (39% saved)

localize11.0ms (0.2%)

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)
✓	11.4b	(cbrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series15.0ms (0.2%)

Counts

2 → 32

Calls

12 calls:

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

rewrite85.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

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

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))))))))

simplify52.0ms (0.8%)

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))

localize3.0ms (0%)

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.7b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
✓	8.5b	(.f64 (.f64 a a) (*.f64 1/2 x))

Compiler

Compiled 38 to 18 computations (52.6% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite104.0ms (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	50
1	220	46
2	3046	46

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

simplify109.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

131 → 126

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 a x (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))))
✓	0.2b	(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
✓	3.3b	(.f64 a (.f64 a (*.f64 x x)))
✓	8.8b	(.f64 a (.f64 x x))

Compiler

Compiled 41 to 11 computations (73.2% saved)

series5.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite76.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`*-commutative`
922×	`sqrt-prod`
864×	`unswap-sqr`
660×	`swap-sqr`
396×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	90
1	223	72
2	2713	72

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

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

simplify91.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1522×	`associate-/l*`
814×	`associate-/r*`
688×	`distribute-lft-neg-in`
656×	`distribute-rgt-neg-in`
506×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	273	7033
1	700	5907
2	3289	5647

Stop Event

1×	node limit

Counts

203 → 158

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.2b	(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
✓	0.3b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)
	11.4b	(cbrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 37 to 11 computations (70.3% saved)

series6.0ms (0.1%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)
0.0ms	a	@	-inf	(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
0.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
0.0ms	a	@	inf	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	218	32
2	2243	32

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(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))))

Outputs

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

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

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1302×	`associate-/r*`
1202×	`associate-r`
1190×	`associate-/l*`
1094×	`associate-l`
884×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	1601
1	258	1601
2	831	1593
3	4269	1593

Stop Event

1×	node limit

Counts

75 → 56

Calls

Call 1

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

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

eval220.0ms (3.2%)

Compiler: Compiled 11847 to 5989 computations (49.4% saved)

prune97.0ms (1.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	556	5	561
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	558	9	567

Error

0.0b

Counts

567 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.8b	(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2) 3)
▶	38.8b	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/3) 3)
✓	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	19.4b	(.f64 (+.f64 (.f64 1/2 (.f64 a x)) 1) (.f64 a x))
✓	21.8b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
▶	23.8b	(.f64 a (+.f64 (.f64 (.f64 x x) (.f64 a 1/2)) x))
✓	19.0b	(*.f64 a x)
▶	50.4b	(.f64 1/2 (.f64 x (.f64 x (.f64 a a))))
✓	0.0b	(expm1.f64 (*.f64 a x))

Compiler

Compiled 151 to 104 computations (31.1% saved)

localize45.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 16 computations (50% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`*-commutative`
780×	`unswap-sqr`
626×	`swap-sqr`
528×	`associate-*r/`
478×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	209	40
2	2578	40

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 a x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 1/2 (*.f64 a x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 1/2 a) x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 1/2 a) x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/2 a) x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (/.f64 (fma.f64 1/2 (*.f64 a x) -1) (pow.f64 (*.f64 a x) 2))) (+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 a x) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 1/2 a) x 1) 2) 1) (+.f64 2 (*.f64 1/2 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (*.f64 a x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (*.f64 a x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 a x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (*.f64 a x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/2 (*.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 a x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 a x))))))))

simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1128×	`associate-/l/`
984×	`associate-*r/`
844×	`associate-/r/`
836×	`associate-*l/`
576×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	4959
1	653	4419
2	3191	4375

Stop Event

1×	node limit

Counts

103 → 142

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/2 (.f64 x (.f64 x (.f64 a a))))
✓	4.4b	(.f64 x (.f64 x (*.f64 a a)))
✓	8.5b	(.f64 x (.f64 a a))

Compiler

Compiled 29 to 8 computations (72.4% saved)

series2.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite107.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

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

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

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

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

111 → 48

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

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

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x x) (*.f64 a 1/2)) x)
✓	1.2b	(.f64 a (+.f64 (.f64 (.f64 x x) (.f64 a 1/2)) x))
✓	8.8b	(.f64 (.f64 x x) (*.f64 a 1/2))

Compiler

Compiled 38 to 18 computations (52.6% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite112.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`unswap-sqr`
800×	`swap-sqr`
666×	`associate-*r/`
660×	`distribute-rgt-in`
624×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	67
1	222	67
2	3074	67

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

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

Outputs

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

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

simplify195.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

852×	`associate-/l*`
840×	`associate-r`
832×	`associate-l`
746×	`distribute-lft-neg-in`
568×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	14013
1	1299	13141
2	6221	13125

Stop Event

1×	node limit

Counts

253 → 285

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.2b	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/3) 3)
✓	12.4b	(pow.f64 (expm1.f64 (*.f64 a x)) 1/3)

Compiler

Compiled 27 to 12 computations (55.6% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/3) 3)
0.0ms	a	@	0	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/3) 3)
0.0ms	a	@	0	(pow.f64 (expm1.f64 (*.f64 a x)) 1/3)
0.0ms	x	@	0	(pow.f64 (expm1.f64 (*.f64 a x)) 1/3)
0.0ms	a	@	inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/3) 3)

rewrite87.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	231	26
2	2332	26

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1150×	`associate-r`
982×	`associate-l`
630×	`swap-sqr`
614×	`fabs-mul`
568×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	1034
1	213	1034
2	623	1034
3	3684	1034

Stop Event

1×	node limit

Counts

74 → 48

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

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.1b	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2)
✓	0.2b	(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2) 3)
✓	12.2b	(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)

Compiler

Compiled 38 to 19 computations (50% saved)

series120.0ms (1.8%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
32.0ms	a	@	inf	(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
30.0ms	x	@	inf	(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
28.0ms	x	@	-inf	(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
12.0ms	a	@	-inf	(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
8.0ms	x	@	0	(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2) 3)

rewrite81.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

856×	`cbrt-prod`
834×	`*-commutative`
794×	`sqrt-prod`
738×	`unswap-sqr`
532×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	277	43
2	3034	43

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

Inputs
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2)

Outputs

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

simplify168.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1414×	`associate-+r+`
1314×	`associate-r`
1200×	`associate-+l+`
1026×	`associate-l`
896×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	485	12576
1	1443	11474
2	5661	11470

Stop Event

1×	node limit

Counts

188 → 217

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 a) (log.f64 x))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))
(fma.f64 (.f64 a 1/12) (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/12 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/288))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (+.f64 (.f64 a (.f64 a (fma.f64 (.f64 x x) 1/288 (.f64 (.f64 x x) 1/144)))) 1) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (+.f64 1 (.f64 a (.f64 a (fma.f64 (.f64 x x) 1/288 (.f64 (.f64 x x) 1/144))))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 (pow.f64 a 3) (.f64 (+.f64 (.f64 1/36 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (+.f64 (.f64 1/144 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (.f64 1/10368 (pow.f64 x 3)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))))) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))))))
(fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/12 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/288))) (fma.f64 (pow.f64 a 3) (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/36 (.f64 (pow.f64 x 3) 0) (fma.f64 1/144 (.f64 x (.f64 (.f64 x x) 1/12)) (.f64 (pow.f64 x 3) 1/10368)))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))))
(+.f64 (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 a (.f64 a (fma.f64 (.f64 x x) 1/288 (.f64 (.f64 x x) 1/144)))) (+.f64 0 (.f64 (pow.f64 a 3) (fma.f64 1/144 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 3) 1/10368)))))) (fma.f64 (.f64 a 1/12) (*.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (.f64 x x) 1/288 (.f64 (.f64 x x) 1/144))) (.f64 (+.f64 (.f64 (pow.f64 a 3) (fma.f64 1/144 (.f64 (pow.f64 x 3) 1/12) (*.f64 (pow.f64 x 3) 1/10368))) 1) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))))
(fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))
(fma.f64 (.f64 a 1/12) (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/288 (pow.f64 a 2))))) (+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))))
(fma.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 (.f64 a a) 1/288 (.f64 (.f64 a a) 1/144))) (fma.f64 (.f64 a 1/12) (*.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/288 (pow.f64 a 2))))) (+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (+.f64 (.f64 (+.f64 (.f64 1/144 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (+.f64 (.f64 1/36 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (.f64 1/10368 (pow.f64 a 3)))) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 x 3))) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))))))
(fma.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (fma.f64 1/144 (.f64 a (.f64 (.f64 a a) 1/12)) (fma.f64 1/36 (.f64 (pow.f64 a 3) 0) (.f64 (pow.f64 a 3) 1/10368))) (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (pow.f64 x 3)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 (.f64 a a) 1/288 (.f64 (.f64 a a) 1/144))) (fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (fma.f64 1/144 (.f64 (pow.f64 a 3) 1/12) (fma.f64 (pow.f64 a 3) 1/10368 0)) (*.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (pow.f64 x 3)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 4))
(*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3)
(+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 4)) (.f64 a (+.f64 (.f64 1/6 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 4) x))) (.f64 1/3 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 4) x))))))
(fma.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4) (.f64 a (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (.f64 x (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4))) 1/2)))
(fma.f64 a (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3) (.f64 x 1/2)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3))
(+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 4)) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 (+.f64 (.f64 1/36 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 4) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2))) (.f64 1/144 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 x 2)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2)) (+.f64 (.f64 1/18 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 4) (pow.f64 x 2)))) (.f64 (+.f64 (.f64 1/144 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 4))))) (.f64 a (+.f64 (.f64 1/6 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 4) x))) (.f64 1/3 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 4) x)))))))
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(.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 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2))
(*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3)
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (.f64 1/6 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2))))) x) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2)))
(fma.f64 (.f64 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4))) 1/2) x (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4)))
(fma.f64 x (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3) (.f64 a 1/2)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3))
(+.f64 (.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (+.f64 (.f64 (+.f64 (.f64 1/144 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/288 (pow.f64 a 2)))))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4)) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/36 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4))) (.f64 2 (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/288 (pow.f64 a 2))))) (.f64 1/144 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (.f64 1/6 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2))))) x) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2))))
(fma.f64 (fma.f64 1/18 (.f64 (.f64 a a) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4))) (fma.f64 (fma.f64 2 (.f64 (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 (.f64 1/144 (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2))) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/36 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4)) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 2 (.f64 (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 (.f64 1/144 (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2))))))))) (.f64 x x) (fma.f64 (.f64 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4))) 1/2) x (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4))))
(fma.f64 (.f64 x x) (fma.f64 1/18 (.f64 (.f64 a a) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3)) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4) (fma.f64 2 (.f64 (fma.f64 (.f64 a a) 1/288 (.f64 (.f64 a a) 1/144)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 (.f64 a a) (.f64 1/144 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)))) (+.f64 (.f64 (.f64 (.f64 1/36 a) a) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3)) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4) (fma.f64 2 (.f64 (fma.f64 (.f64 a a) 1/288 (.f64 (.f64 a a) 1/144)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 (.f64 a a) (.f64 1/144 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2))))))))) (fma.f64 x (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3) (.f64 a 1/2)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3)))
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(fma.f64 (fma.f64 1/18 (.f64 (.f64 a a) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4))) (fma.f64 (fma.f64 2 (.f64 (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 (.f64 1/144 (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2))) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/36 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4)) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 2 (.f64 (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 (.f64 1/144 (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2))))))))) (.f64 x x) (fma.f64 (.f64 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4))) 1/2) x (fma.f64 (fma.f64 (fma.f64 1/3 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 2 (.f64 (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 (.f64 1/144 (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2))))) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 2 (.f64 (fma.f64 1/144 (.f64 a (.f64 (.f64 a a) 1/12)) (fma.f64 1/36 (.f64 (pow.f64 a 3) 0) (.f64 (pow.f64 a 3) 1/10368))) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 (.f64 1/6 a) (.f64 (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2))))))) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/6 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/36 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4)) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 2 (.f64 (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 (.f64 1/144 (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)))))))) (fma.f64 (fma.f64 2 (.f64 (fma.f64 1/144 (.f64 a (.f64 (.f64 a a) 1/12)) (fma.f64 1/36 (.f64 (pow.f64 a 3) 0) (.f64 (pow.f64 a 3) 1/10368))) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 (.f64 1/6 a) (.f64 (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)))) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4) (.f64 (.f64 1/3 (fma.f64 2 (.f64 (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 (.f64 1/144 (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)))) (.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4)))))) (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4)))))
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(.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))
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)
(+.f64 (.f64 1/6 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2) x))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2))
(fma.f64 1/6 (.f64 a (.f64 x (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2))) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2))
(fma.f64 1/6 (.f64 (.f64 a x) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2))
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(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 4))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6)))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (sqrt.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (cbrt.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) (cbrt.f64 (expm1.f64 (.f64 a x)))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (exp.f64 (.f64 2 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(fabs.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(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)))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))

eval561.0ms (8.2%)

Compiler: Compiled 26252 to 15032 computations (42.7% saved)

prune402.0ms (5.9%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	817	1	818
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	817	10	827

Error

0.0b

Counts

827 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	38.8b	(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2) 3)
▶	38.7b	(pow.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) 3) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 3)) 2) 3)
✓	38.8b	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/3) 3)
✓	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	19.4b	(.f64 (+.f64 (.f64 1/2 (.f64 a x)) 1) (.f64 a x))
✓	21.8b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
✓	23.8b	(.f64 a (+.f64 (.f64 (.f64 x x) (.f64 a 1/2)) x))
✓	19.0b	(*.f64 a x)
✓	50.4b	(.f64 1/2 (.f64 x (.f64 x (.f64 a a))))
✓	0.0b	(expm1.f64 (*.f64 a x))

Compiler

Compiled 117 to 82 computations (29.9% saved)

localize35.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) 3) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 3)) 2) 3)
✓	0.2b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
✓	0.2b	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 3)
✓	12.0b	(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)

Compiler

Compiled 99 to 56 computations (43.4% saved)

series49.0ms (0.7%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 3)
8.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 3)
7.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 3)
7.0ms	a	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 3)
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 3)

rewrite157.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`unswap-sqr`
1050×	`*-commutative`
672×	`swap-sqr`
538×	`sqr-pow`
466×	`pow-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	84
1	340	74
2	3527	62

Stop Event

1×	node limit

Counts

4 → 198

Calls

Call 1

Inputs
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
(pow.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) 3) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 3)) 2) 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) (pow.f64 (expm1.f64 (.f64 a x)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) (sqrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (pow.f64 1 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) (pow.f64 (expm1.f64 (.f64 a x)) 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36)) (.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36)) (pow.f64 (expm1.f64 (.f64 a x)) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (.f64 a x)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36)) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18)) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (pow.f64 (expm1.f64 (.f64 a x)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18))) (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36)) (pow.f64 (expm1.f64 (.f64 a x)) 1/18)) (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36))) (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18)) 3) (pow.f64 (expm1.f64 (.f64 a x)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/12) (pow.f64 (expm1.f64 (.f64 a x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1/12) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/12) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (pow.f64 (expm1.f64 (.f64 a x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) 1/6) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) 1/6)) (pow.f64 (expm1.f64 (.f64 a x)) 1/36)) (.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) 1/6) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) 1/6)) (pow.f64 (expm1.f64 (.f64 a x)) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) 3/4) (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24))) (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) 3/4) (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/48) (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24))) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/48) (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36)) 3/2) (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24))) (.f64 (pow.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36)) 3/2) (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/24) (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24))) (.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/24) (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24)) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) 3/4)) (.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24)) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/48) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) 3/4)) (.f64 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((x /.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) -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 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (+.f64 1 (pow.f64 (exp.f64 x) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (-.f64 1 (.f64 (pow.f64 (exp.f64 x) a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) -1)) (+.f64 1 (pow.f64 (exp.f64 x) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (+.f64 1 (pow.f64 (exp.f64 x) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) -1) 1) (+.f64 1 (pow.f64 (exp.f64 x) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (+.f64 1 (pow.f64 (exp.f64 x) a))))))) (#(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 log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))))))

simplify326.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1726×	`unswap-sqr`
1094×	`fma-def`
614×	`distribute-rgt-in`
614×	`distribute-lft-in`
534×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	670	22174
1	2208	16980
2	5415	15790

Stop Event

1×	node limit

Counts

294 → 290

Calls

Call 1

Inputs
(exp.f64 (*.f64 1/12 (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (.f64 1/24 (.f64 a (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/1152 (pow.f64 x 2)) (.f64 1/24 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))) (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 1/24 (.f64 a (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x))))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/1152 (pow.f64 x 2)) (.f64 1/24 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))) (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 (pow.f64 a 3) (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/72 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (+.f64 (.f64 1/576 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (.f64 1/82944 (pow.f64 x 3)))))) (+.f64 (.f64 1/24 (.f64 a (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(exp.f64 (*.f64 1/12 (+.f64 (log.f64 x) (log.f64 a))))
(+.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 1/24 (.f64 a (.f64 (exp.f64 (*.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) x))))
(+.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/24 (.f64 a (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/1152 (pow.f64 a 2)) (.f64 1/24 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/576 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (+.f64 (.f64 1/82944 (pow.f64 a 3)) (.f64 1/72 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))))) (pow.f64 x 3))) (+.f64 (.f64 1/24 (.f64 a (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/1152 (pow.f64 a 2)) (.f64 1/24 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(.f64 (pow.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (*.f64 1/36 (+.f64 (log.f64 x) (log.f64 a)))))
(+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (.f64 1/36 (+.f64 (log.f64 x) (log.f64 a))))) (.f64 a (+.f64 (.f64 1/72 (.f64 (pow.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 1/36 (.f64 (pow.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 x) (log.f64 a)))) x))))))
(+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (.f64 1/36 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 (+.f64 (.f64 1/5184 (.f64 (pow.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/72 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/10368 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (.f64 1/36 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 1/2592 (.f64 (pow.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 x 2)))) (.f64 (+.f64 (.f64 1/72 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/10368 (pow.f64 x 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 a) (log.f64 x)))) 2) (exp.f64 (.f64 1/36 (+.f64 (log.f64 x) (log.f64 a))))))))) (.f64 a (+.f64 (.f64 1/72 (.f64 (pow.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 1/36 (.f64 (pow.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 x) (log.f64 a)))) x)))))))
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(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 (*.f64 1/36 (+.f64 (log.f64 x) (log.f64 a)))) 2))
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(.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 (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 (pow.f64 (expm1.f64 (*.f64 a x)) 1/18) 4) 3))
(.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 (cbrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) 4) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) 4) (.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 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 4) (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/18) 4)))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) 4) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/18) 4))
(*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) -1) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) a))))
(*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (+.f64 1 (pow.f64 (exp.f64 x) a)))))
(.f64 (pow.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) 4) 3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (expm1.f64 (*.f64 a x)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) 9)) (.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/36) 9)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3/4) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) 9)) (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3/4) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/36) 9)))
(.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3/2) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) 9)) (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3/2) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/36) 9)))
(.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) 9) (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) 9) (sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3/4) (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3/4) (sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) 9) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3/4)) (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) 9) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/4)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3/4)) (.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/4)))
(.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3/2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3/4)) (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3/2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/4)))
(.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) 9) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3/2)) (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) 9) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3/2)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3/2)) (.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3/2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3/4) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3/2)) (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3/4) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3/2)))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) 1) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) 1))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) 9) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/18) 9))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 3/4))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/6))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) a)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (+.f64 1 (pow.f64 (exp.f64 x) a))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) -1) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) -1) (-.f64 (pow.f64 (exp.f64 x) a) -1))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (+.f64 1 (pow.f64 (exp.f64 x) a))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) a) -1))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) -1)) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (+.f64 1 (pow.f64 (exp.f64 x) a))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) -1) 1) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (+.f64 1 (pow.f64 (exp.f64 x) a))))
(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))))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))

Outputs
(exp.f64 (*.f64 1/12 (+.f64 (log.f64 a) (log.f64 x))))
(pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x)))
(*.f64 (pow.f64 a 1/12) (pow.f64 x 1/12))
(+.f64 (.f64 1/24 (.f64 a (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 1/24 (.f64 a (.f64 x (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))))
(fma.f64 1/24 (.f64 a (.f64 x (.f64 (pow.f64 a 1/12) (pow.f64 x 1/12)))) (.f64 (pow.f64 a 1/12) (pow.f64 x 1/12)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/1152 (pow.f64 x 2)) (.f64 1/24 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))) (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 1/24 (.f64 a (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/1152 (.f64 x x) (.f64 1/24 (.f64 (.f64 x x) 1/12)))) (fma.f64 1/24 (.f64 a (.f64 x (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/24 (.f64 (.f64 x x) 1/12) (.f64 1/1152 (.f64 x x)))) (fma.f64 1/24 (.f64 a (.f64 x (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 (.f64 1/24 a) (.f64 x (.f64 (pow.f64 a 1/12) (pow.f64 x 1/12)))) (.f64 (+.f64 (.f64 (.f64 a a) (fma.f64 1/24 (.f64 (.f64 x x) 1/12) (.f64 1/1152 (.f64 x x)))) 1) (.f64 (pow.f64 a 1/12) (pow.f64 x 1/12))))
(+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/1152 (pow.f64 x 2)) (.f64 1/24 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))) (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 (pow.f64 a 3) (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/72 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (+.f64 (.f64 1/576 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (.f64 1/82944 (pow.f64 x 3)))))) (+.f64 (.f64 1/24 (.f64 a (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 1/12 (+.f64 (log.f64 a) (log.f64 x)))))))
(fma.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/1152 (.f64 x x) (.f64 1/24 (.f64 (.f64 x x) 1/12)))) (fma.f64 (pow.f64 a 3) (.f64 (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/72 (.f64 (pow.f64 x 3) 0) (fma.f64 1/576 (.f64 x (.f64 (.f64 x x) 1/12)) (.f64 (pow.f64 x 3) 1/82944)))) (fma.f64 1/24 (.f64 a (.f64 x (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/24 (.f64 (.f64 x x) 1/12) (.f64 1/1152 (.f64 x x)))) (fma.f64 (pow.f64 a 3) (.f64 (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 0 (fma.f64 1/576 (.f64 x (.f64 (.f64 x x) 1/12)) (.f64 (pow.f64 x 3) 1/82944)))) (fma.f64 1/24 (.f64 a (*.f64 x (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))))))
(+.f64 (fma.f64 (.f64 (pow.f64 a 3) (.f64 (pow.f64 a 1/12) (pow.f64 x 1/12))) (fma.f64 1/576 (.f64 x (.f64 (.f64 x x) 1/12)) (.f64 (pow.f64 x 3) 1/82944)) (.f64 (.f64 1/24 a) (.f64 x (.f64 (pow.f64 a 1/12) (pow.f64 x 1/12))))) (.f64 (+.f64 (.f64 (.f64 a a) (fma.f64 1/24 (.f64 (.f64 x x) 1/12) (.f64 1/1152 (.f64 x x)))) 1) (.f64 (pow.f64 a 1/12) (pow.f64 x 1/12))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/12)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(exp.f64 (*.f64 1/12 (+.f64 (log.f64 x) (log.f64 a))))
(pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x)))
(*.f64 (pow.f64 a 1/12) (pow.f64 x 1/12))
(+.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 1/24 (.f64 a (.f64 (exp.f64 (*.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) x))))
(fma.f64 1/24 (.f64 a (.f64 x (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))))
(fma.f64 1/24 (.f64 a (.f64 x (.f64 (pow.f64 a 1/12) (pow.f64 x 1/12)))) (.f64 (pow.f64 a 1/12) (pow.f64 x 1/12)))
(+.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/24 (.f64 a (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/1152 (pow.f64 a 2)) (.f64 1/24 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2)))))
(+.f64 (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/24 (.f64 a (.f64 x (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 1/1152 (.f64 a a) (.f64 1/24 (.f64 (*.f64 a a) 1/12)))))))
(+.f64 (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 1/24 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/1152))) (.f64 (.f64 1/24 a) (*.f64 x (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x)))))))
(+.f64 (.f64 (.f64 1/24 a) (.f64 x (.f64 (pow.f64 a 1/12) (pow.f64 x 1/12)))) (.f64 (+.f64 (.f64 (.f64 x x) (fma.f64 1/24 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/1152))) 1) (.f64 (pow.f64 a 1/12) (pow.f64 x 1/12))))
(+.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/576 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (+.f64 (.f64 1/82944 (pow.f64 a 3)) (.f64 1/72 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))))) (pow.f64 x 3))) (+.f64 (.f64 1/24 (.f64 a (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 (exp.f64 (.f64 1/12 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/1152 (pow.f64 a 2)) (.f64 1/24 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2))))))
(+.f64 (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (pow.f64 x 3) (fma.f64 1/576 (.f64 a (.f64 (.f64 a a) 1/12)) (fma.f64 1/82944 (pow.f64 a 3) (.f64 1/72 (.f64 (pow.f64 a 3) 0))))) (fma.f64 1/24 (.f64 a (.f64 x (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 1/1152 (.f64 a a) (.f64 1/24 (.f64 (*.f64 a a) 1/12))))))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 1/24 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/1152))) (.f64 (.f64 1/24 a) (.f64 x (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (+.f64 (.f64 (pow.f64 x 3) (fma.f64 1/576 (.f64 a (.f64 (.f64 a a) 1/12)) (fma.f64 (pow.f64 a 3) 1/82944 0))) 1) (pow.f64 (exp.f64 1/12) (+.f64 (log.f64 a) (log.f64 x)))))
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(*.f64 (pow.f64 x 1/36) (pow.f64 a 1/36))
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(fma.f64 1/72 (.f64 (.f64 a x) (pow.f64 (exp.f64 1/36) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 1/36) (+.f64 (log.f64 a) (log.f64 x))))
(fma.f64 1/72 (.f64 (.f64 a x) (.f64 (pow.f64 x 1/36) (pow.f64 a 1/36))) (.f64 (pow.f64 x 1/36) (pow.f64 a 1/36)))
(+.f64 (.f64 (+.f64 (.f64 1/10368 (pow.f64 a 2)) (.f64 1/72 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 (exp.f64 (.f64 1/36 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 x 2))) (+.f64 (.f64 1/72 (.f64 a (.f64 x (exp.f64 (.f64 1/36 (+.f64 (log.f64 x) (log.f64 a))))))) (exp.f64 (.f64 1/36 (+.f64 (log.f64 x) (log.f64 a))))))
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(fma.f64 (.f64 (.f64 x x) (pow.f64 (exp.f64 1/36) (+.f64 (log.f64 a) (log.f64 x)))) (fma.f64 (.f64 a a) 1/10368 (.f64 1/72 (.f64 (.f64 a a) 1/12))) (fma.f64 1/72 (.f64 (.f64 a x) (pow.f64 (exp.f64 1/36) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 1/36) (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x 1/36) (pow.f64 a 1/36))) (fma.f64 (.f64 a a) 1/10368 (.f64 1/72 (.f64 (.f64 a a) 1/12))) (fma.f64 1/72 (.f64 (.f64 a x) (.f64 (pow.f64 x 1/36) (pow.f64 a 1/36))) (*.f64 (pow.f64 x 1/36) (pow.f64 a 1/36))))
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(fma.f64 (fma.f64 1/5184 (.f64 a (.f64 (.f64 a a) 1/12)) (fma.f64 1/2239488 (pow.f64 a 3) (.f64 (.f64 (pow.f64 a 3) 0) 1/216))) (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 1/36) (+.f64 (log.f64 a) (log.f64 x)))) (fma.f64 (fma.f64 1/10368 (.f64 a a) (.f64 1/72 (.f64 (.f64 a a) 1/12))) (.f64 (.f64 x x) (pow.f64 (exp.f64 1/36) (+.f64 (log.f64 a) (log.f64 x)))) (fma.f64 1/72 (.f64 (.f64 a x) (pow.f64 (exp.f64 1/36) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 1/36) (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 (fma.f64 (.f64 a (.f64 (.f64 a a) 1/12)) 1/5184 (fma.f64 (pow.f64 a 3) 1/2239488 0)) (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 1/36) (+.f64 (log.f64 a) (log.f64 x)))) (fma.f64 (.f64 (.f64 x x) (pow.f64 (exp.f64 1/36) (+.f64 (log.f64 a) (log.f64 x)))) (fma.f64 (.f64 a a) 1/10368 (.f64 1/72 (.f64 (.f64 a a) 1/12))) (fma.f64 1/72 (.f64 (.f64 a x) (pow.f64 (exp.f64 1/36) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 1/36) (+.f64 (log.f64 a) (log.f64 x))))))
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(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/36)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/36)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/36)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/36)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/36)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/36)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/36)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/36)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/36)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/36)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/36)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/36)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/36)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/36)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/36)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/36)
(.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 4))
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(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) 3)
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(fma.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4) (.f64 a (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (.f64 x (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4))) 1/2)))
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(.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 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2))
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(pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) 3)
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(fma.f64 (.f64 x x) (fma.f64 1/18 (.f64 (.f64 a a) (pow.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) 3)) (fma.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (fma.f64 (.f64 2 (fma.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2))))) (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (.f64 (.f64 1/36 (.f64 a a)) (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 4))) (.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 4) (fma.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2))))))) (fma.f64 x (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) 3) (.f64 a 1/2)) (pow.f64 (pow.f64 (*.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) 3)))
(+.f64 (.f64 (+.f64 (.f64 1/18 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (+.f64 (.f64 (+.f64 (.f64 1/144 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/288 (pow.f64 a 2)))))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4)) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/36 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4))) (.f64 2 (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/288 (pow.f64 a 2))))) (.f64 1/144 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (.f64 1/6 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2))))) x) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 a (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/288 (pow.f64 a 2))))) (.f64 1/144 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (.f64 2 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/144 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (+.f64 (.f64 1/36 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (.f64 1/10368 (pow.f64 a 3)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 1/6 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/288 (pow.f64 a 2))))))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2)) (+.f64 (.f64 1/6 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/36 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4))) (.f64 2 (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/288 (pow.f64 a 2))))) (.f64 1/144 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/144 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (+.f64 (.f64 1/36 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (.f64 1/10368 (pow.f64 a 3)))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2))) (.f64 1/6 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/288 (pow.f64 a 2))))))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4)) (.f64 1/3 (.f64 (+.f64 (.f64 1/144 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/288 (pow.f64 a 2)))))) (.f64 a (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4))))))) (pow.f64 x 3)) (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) 2)))))
(fma.f64 (fma.f64 1/18 (.f64 (.f64 a a) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4))) (fma.f64 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)))) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/36 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4)) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)))))))))) (.f64 x x) (fma.f64 (.f64 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4))) 1/2) x (fma.f64 (fma.f64 (fma.f64 1/3 (.f64 (.f64 a (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2))))) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/144 (.f64 a (.f64 (.f64 a a) 1/12)) (fma.f64 1/36 (.f64 (pow.f64 a 3) 0) (.f64 (pow.f64 a 3) 1/10368)))) (.f64 1/6 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))))))))) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/6 (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)) (fma.f64 1/36 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4)) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)))))))) (fma.f64 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/144 (.f64 a (.f64 (.f64 a a) 1/12)) (fma.f64 1/36 (.f64 (pow.f64 a 3) 0) (.f64 (pow.f64 a 3) 1/10368)))) (.f64 1/6 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288)))))) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4) (.f64 1/3 (.f64 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)))) (.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4))))))) (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4)))))
(fma.f64 (.f64 x x) (fma.f64 1/18 (.f64 (.f64 a a) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3)) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 (.f64 2 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2))))) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (.f64 (.f64 1/36 (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2))))))) (fma.f64 x (.f64 (.f64 a (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3)) 1/2) (fma.f64 (pow.f64 x 3) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 (.f64 a (.f64 (.f64 a a) 1/12)) 1/144 (fma.f64 (pow.f64 a 3) 1/10368 0))) (.f64 (.f64 1/6 a) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288)))))) (.f64 1/3 (.f64 (.f64 a (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2))))) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)))) (fma.f64 1/6 (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)) (fma.f64 (.f64 2 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2))))) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (.f64 (.f64 1/36 (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4)))) (fma.f64 1/3 (.f64 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2)))) (.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 4) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 (.f64 a (.f64 (.f64 a a) 1/12)) 1/144 (fma.f64 (pow.f64 a 3) 1/10368 0))) (.f64 (.f64 1/6 a) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (*.f64 a a) 1/288))))))))) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) 2) 3))))
(fma.f64 (.f64 x x) (fma.f64 1/18 (.f64 (.f64 a a) (pow.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) 3)) (fma.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (fma.f64 (.f64 2 (fma.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2))))) (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (.f64 (.f64 1/36 (.f64 a a)) (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 4))) (.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 4) (fma.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2))))))) (fma.f64 x (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) 3) (.f64 a 1/2)) (fma.f64 (pow.f64 x 3) (fma.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (fma.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (fma.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (fma.f64 (.f64 a (.f64 (.f64 a a) 1/12)) 1/144 (.f64 (pow.f64 a 3) 1/10368))) (.f64 (.f64 1/6 a) (.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288)))))) (.f64 1/3 (.f64 (.f64 a (fma.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2))))) (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2)))) (fma.f64 1/6 (.f64 (.f64 a (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2)) (fma.f64 (.f64 2 (fma.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2))))) (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (.f64 (.f64 1/36 (.f64 a a)) (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 4)))) (fma.f64 1/3 (.f64 (fma.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (.f64 1/144 (.f64 (.f64 a a) (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2)))) (.f64 a (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 4))) (.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 4) (fma.f64 2 (.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (fma.f64 (.f64 a (.f64 (.f64 a a) 1/12)) 1/144 (.f64 (pow.f64 a 3) 1/10368))) (.f64 (.f64 1/6 a) (.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))))))))) (pow.f64 (pow.f64 (.f64 (pow.f64 x 1/6) (pow.f64 a 1/6)) 2) 3))))
(.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 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))) -1)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/36) 3)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) (sqrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/18)) 3))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/36) 3)
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(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (pow.f64 1 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) (pow.f64 (expm1.f64 (*.f64 a x)) 1/24))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36)) (.f64 (sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18)))
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(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/36))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/36) 3)
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(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/36) 18))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3/2)) (.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3/2)))
(.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3/2) (.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3/2))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3/4) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3/2)) (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3/4) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3/2)))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/2))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) 1) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) 9) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/18) 9))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/18) 18)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 3/4))
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 3/2)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/6))
(expm1.f64 (*.f64 a x))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) a)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 2)) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) (*.f64 2 a))) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (+.f64 1 (pow.f64 (exp.f64 x) a))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) 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) (pow.f64 (exp.f64 x) (*.f64 2 a)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) -1) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 2)) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) (*.f64 2 a))) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) -1) (-.f64 (pow.f64 (exp.f64 x) a) -1))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 2)) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) (*.f64 2 a))) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (+.f64 1 (pow.f64 (exp.f64 x) a))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) 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) (pow.f64 (exp.f64 x) (*.f64 2 a)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) a) -1))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) 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) (pow.f64 (exp.f64 x) (*.f64 2 a)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) -1)) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 2)) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) (*.f64 2 a))) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (+.f64 1 (pow.f64 (exp.f64 x) a))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) 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) (pow.f64 (exp.f64 x) (*.f64 2 a)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) -1) 1) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 2)) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) (*.f64 2 a))) (+.f64 1 (pow.f64 (exp.f64 x) a)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 2) (+.f64 1 (pow.f64 (exp.f64 x) a))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) 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) (pow.f64 (exp.f64 x) (*.f64 2 a)))))
(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))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))

eval723.0ms (10.6%)

Compiler: Compiled 32042 to 19458 computations (39.3% saved)

prune168.0ms (2.5%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	481	1	482
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	481	11	492

Error

0.0b

Counts

492 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	38.8b	(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2) 3)
	38.7b	(pow.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) 3) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 3)) 2) 3)
✓	38.7b	(pow.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) 3) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 3)) 2) 3)
✓	38.8b	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/3) 3)
✓	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	19.4b	(.f64 (+.f64 (.f64 1/2 (.f64 a x)) 1) (.f64 a x))
✓	21.8b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
✓	23.8b	(.f64 a (+.f64 (.f64 (.f64 x x) (.f64 a 1/2)) x))
✓	19.0b	(*.f64 a x)
✓	50.4b	(.f64 1/2 (.f64 x (.f64 x (.f64 a a))))
✓	0.0b	(expm1.f64 (*.f64 a x))

Compiler

Compiled 141 to 100 computations (29.1% saved)

regimes30.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 a x)
(.f64 1/2 (.f64 x (.f64 x (.f64 a a))))
(.f64 a (+.f64 (.f64 (.f64 x x) (.f64 a 1/2)) x))
(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
(.f64 (+.f64 (.f64 1/2 (.f64 a x)) 1) (.f64 a x))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(fma.f64 a x (.f64 1/2 (.f64 a (.f64 a (.f64 x x)))))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/3) 3)
(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2) 3)
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/36) 3) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 3)) 2) 3)
(pow.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) 3) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 3)) 2) 3)

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

Calls

5 calls:

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

Results

Error	Segments	Branch
0.0b	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 177 to 95 computations (46.3% saved)

regimes18.0ms (0.3%)

Accuracy

Total -31.6b remaining (-165.9%)

Threshold costs -31.6b (-165.9%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

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

Results

Error	Segments	Branch
19.0b	1	`a`
19.0b	1	`x`
19.0b	1	`(*.f64 a x)`

Compiler

Compiled 58 to 31 computations (46.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	8	18

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness90.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 12 to 7 computations (41.7% saved)

end14.0ms (0.2%)

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

Details

analyze32.0ms (0.5%)

sample1.6s (23.8%)

preprocess38.0ms (0.6%)

simplify57.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite47.0ms (0.7%)

simplify88.0ms (1.3%)

eval9.0ms (0.1%)

prune9.0ms (0.1%)

localize11.0ms (0.2%)

series15.0ms (0.2%)

rewrite85.0ms (1.2%)

simplify52.0ms (0.8%)

localize3.0ms (0%)

localize12.0ms (0.2%)

series4.0ms (0.1%)

rewrite104.0ms (1.5%)

simplify109.0ms (1.6%)

localize12.0ms (0.2%)

series5.0ms (0.1%)

rewrite76.0ms (1.1%)

simplify91.0ms (1.3%)

localize12.0ms (0.2%)

series6.0ms (0.1%)

rewrite61.0ms (0.9%)

simplify82.0ms (1.2%)

eval220.0ms (3.2%)

prune97.0ms (1.4%)

localize45.0ms (0.7%)

series4.0ms (0.1%)

rewrite70.0ms (1%)

simplify104.0ms (1.5%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite107.0ms (1.6%)

simplify62.0ms (0.9%)

localize12.0ms (0.2%)

series3.0ms (0%)

rewrite112.0ms (1.6%)

simplify195.0ms (2.9%)

localize10.0ms (0.1%)

series2.0ms (0%)

rewrite87.0ms (1.3%)

simplify58.0ms (0.9%)

localize13.0ms (0.2%)

series120.0ms (1.8%)

rewrite81.0ms (1.2%)

simplify168.0ms (2.5%)

eval561.0ms (8.2%)

prune402.0ms (5.9%)

localize35.0ms (0.5%)

series49.0ms (0.7%)

rewrite157.0ms (2.3%)

simplify326.0ms (4.8%)

eval723.0ms (10.6%)

prune168.0ms (2.5%)

regimes30.0ms (0.4%)

regimes18.0ms (0.3%)

simplify4.0ms (0.1%)

soundness90.0ms (1.3%)

end14.0ms (0.2%)

Profiling