Details

analyze29.0ms (0.8%)

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)

sample1.8s (46.2%)

Results

637.0ms	1525×	body	2048	valid
529.0ms	1764×	body	1024	valid
405.0ms	3883×	body	256	valid
177.0ms	1084×	body	512	valid
27.0ms	335×	body	256	infinite

Bogosity

preprocess51.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a x)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

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

Accurracy

100.0%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(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	a	@	inf	(expm1.f64 (*.f64 a x))
0.0ms	x	@	-inf	(expm1.f64 (*.f64 a x))

rewrite60.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

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

Outputs

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

simplify49.0ms (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))

eval8.0ms (0.2%)

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

prune10.0ms (0.3%)

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

Accurracy

100.0%

Counts

40 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.8%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
▶	99.0%	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	57.4%	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
▶	61.6%	(*.f64 a x)
▶	55.5%	(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 94 to 66 computations (29.8% saved)

localize8.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(expm1.f64 (*.f64 a x))
✓	99.5%	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	88.2%	(cbrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series16.0ms (0.4%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(cbrt.f64 (expm1.f64 (*.f64 a x)))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
2.0ms	a	@	0	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
1.0ms	a	@	inf	(cbrt.f64 (expm1.f64 (*.f64 a x)))

rewrite64.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	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 (1.3%)

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 (0.1%)

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

localize12.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))
✓	97.0%	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
✓	89.1%	(.f64 (.f64 a a) (*.f64 1/2 x))

Compiler

Compiled 38 to 18 computations (52.6% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite93.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

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

Outputs

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

simplify143.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

247 → 266

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(expm1.f64 (*.f64 a x))
✓	95.4%	(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 22 to 6 computations (72.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	163	11
2	1741	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-r`
1100×	`associate-l`
1040×	`associate-/l*`
962×	`associate-/r*`
772×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	895
1	199	867
2	808	859
3	4244	855

Stop Event

1×	node limit

Counts

45 → 43

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

localize7.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(expm1.f64 (*.f64 a x))
✓	99.8%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	88.5%	(sqrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series9.0ms (0.2%)

Counts

2 → 32

Calls

12 calls:

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

rewrite87.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

74 → 53

Calls

Call 1

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

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

eval220.0ms (5.7%)

Compiler: Compiled 12091 to 6523 computations (46.1% saved)

prune128.0ms (3.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	532	1	533
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	533	6	539

Accurracy

100.0%

Counts

539 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	38.8%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	99.0%	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	61.0%	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
✓	61.6%	(*.f64 a x)
✓	55.5%	(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 50 to 35 computations (30% saved)

localize11.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 1/2 (.f64 a (*.f64 a x)))
✓	100.0%	(+.f64 a (.f64 1/2 (.f64 a (*.f64 a x))))
✓	99.8%	(.f64 a (.f64 a x))
✓	97.0%	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))

Compiler

Compiled 40 to 14 computations (65% saved)

series2.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite106.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 200

Calls

Call 1

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

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

simplify237.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

296 → 301

Calls

Call 1

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

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

eval176.0ms (4.5%)

Compiler: Compiled 8845 to 4906 computations (44.5% saved)

prune72.0ms (1.9%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	301	0	301
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	301	6	307

Accurracy

100.0%

Counts

307 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	38.8%	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	99.0%	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	61.0%	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
✓	61.6%	(*.f64 a x)
✓	55.5%	(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
✓	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 50 to 35 computations (30% saved)

regimes22.0ms (0.6%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	(*.f64 a x)
5.0ms	a
5.0ms	x
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
2.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`x`
100.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
100.0%	1	`(exp.f64 (*.f64 a x))`
100.0%	1	`(*.f64 a x)`

Compiler

Compiled 82 to 43 computations (47.6% saved)

regimes10.0ms (0.3%)

Accuracy

Total -3.0b remaining (-12.4%)

Threshold costs -3b (-12.4%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.6%	1	`a`
61.6%	1	`x`
61.6%	1	`(*.f64 a x)`

Compiler

Compiled 38 to 21 computations (44.7% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	8	18

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness129.0ms (3.3%)

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 (0.4%)

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

Details

analyze29.0ms (0.8%)

sample1.8s (46.2%)

preprocess51.0ms (1.3%)

simplify59.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite60.0ms (1.6%)

simplify49.0ms (1.3%)

eval8.0ms (0.2%)

prune10.0ms (0.3%)

localize8.0ms (0.2%)

series16.0ms (0.4%)

rewrite64.0ms (1.7%)

simplify52.0ms (1.3%)

localize3.0ms (0.1%)

localize12.0ms (0.3%)

series5.0ms (0.1%)

rewrite93.0ms (2.4%)

simplify143.0ms (3.7%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite51.0ms (1.3%)

simplify68.0ms (1.8%)

localize7.0ms (0.2%)

series9.0ms (0.2%)

rewrite87.0ms (2.2%)

simplify50.0ms (1.3%)

eval220.0ms (5.7%)

prune128.0ms (3.3%)

localize11.0ms (0.3%)

series2.0ms (0.1%)

rewrite106.0ms (2.7%)

simplify237.0ms (6.1%)

eval176.0ms (4.5%)

prune72.0ms (1.9%)

regimes22.0ms (0.6%)

regimes10.0ms (0.3%)

simplify8.0ms (0.2%)

soundness129.0ms (3.3%)

end14.0ms (0.4%)

Profiling