Details

analyze33.0ms (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 (41.9%)

Results

673.0ms	1462×	body	2048	valid
492.0ms	1796×	body	1024	valid
375.0ms	3831×	body	256	valid
213.0ms	1167×	body	512	valid
30.0ms	317×	body	256	infinite

Bogosity

preprocess46.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

736×	`unswap-sqr_binary64`
578×	`associate-l_binary64`
470×	`associate-r_binary64`
392×	`distribute-rgt-out_binary64`
312×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	22	12
2	30	12
3	48	12
4	98	12
5	256	12
6	884	12
7	3971	12
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)

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

571×	`fma-neg_binary64`
440×	`unswap-sqr_binary64`
420×	`cancel-sign-sub-inv_binary64`
394×	`*-commutative_binary64`
337×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	16	6
2	23	6
3	35	6
4	70	6
5	175	6
6	567	6
7	2415	6
8	5935	6

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite40.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`pow1_binary64`
422×	`add-sqr-sqrt_binary64`
416×	`*-un-lft-identity_binary64`
405×	`add-log-exp_binary64`
405×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	96	6
2	1113	6

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

Outputs

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

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1324×	`distribute-lft-out_binary64`
822×	`fma-def_binary64`
421×	`associate-/l/_binary64`
365×	`associate-/r/_binary64`
354×	`associate-+l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	284
1	90	284
2	245	280
3	1019	262
4	3128	248
5	4834	248
6	6672	248

Stop Event

1×	node limit

Counts

48 → 33

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)

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

eval7.0ms (0.2%)

Compiler: Compiled 379 to 157 computations (58.6% saved)

prune6.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Error

0.0b

Counts

34 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.0b	(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	0.6b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	21.5b	(*.f64 a x)

Compiler

Compiled 32 to 21 computations (34.4% saved)

localize3.0ms (0.1%)

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

localize9.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	10.2b	(cbrt.f64 (expm1.f64 (*.f64 a x)))
	0.4b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
	0.0b	(expm1.f64 (*.f64 a x))
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.4b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	10.2b	(cbrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series22.0ms (0.5%)

Counts

2 → 32

Calls

12 calls:

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

rewrite58.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`pow1_binary64`
573×	`add-log-exp_binary64`
573×	`log1p-expm1-u_binary64`
573×	`expm1-log1p-u_binary64`
558×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	164	14
2	1619	14

Stop Event

1×	node limit

Counts

2 → 41

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

Outputs

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

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

631×	`distribute-rgt-in_binary64`
563×	`distribute-lft-in_binary64`
452×	`associate-+l+_binary64`
452×	`unswap-sqr_binary64`
434×	`associate-+r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	272
1	31	224
2	51	224
3	80	224
4	153	224
5	383	224
6	1266	224
7	3342	224

Stop Event

1×	node limit

Counts

73 → 44

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))

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

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
	0.2b	(.f64 a (.f64 a x))
✓	0.2b	(.f64 a (.f64 a x))
✓	0.3b	(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))

Compiler

Compiled 31 to 10 computations (67.7% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite60.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`pow1_binary64`
703×	`add-log-exp_binary64`
703×	`log1p-expm1-u_binary64`
703×	`expm1-log1p-u_binary64`
689×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	161	21
2	1907	21

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

Outputs

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

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

simplify225.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

1251×	`unswap-sqr_binary64`
774×	`fma-def_binary64`
757×	`sqr-pow_binary64`
362×	`cube-prod_binary64`
359×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	534
1	28	534
2	60	516
3	177	480
4	937	480
5	1926	480
6	2228	480
7	2478	480
8	2759	480
9	2932	480
10	3130	480
11	3294	480
12	3483	480
13	3698	480
14	3928	480
15	4172	480
16	4437	480
17	4716	480
18	5016	480
19	5330	480
20	5400	480
21	7348	480
22	7639	480
23	7883	480

Stop Event

1×	node limit

Counts

76 → 35

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)

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

eval26.0ms (0.6%)

Compiler: Compiled 1436 to 657 computations (54.2% saved)

prune25.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	110	6	116

Error

Counts

116 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.0b	(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	0.9b	(.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)))
✓	0.6b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	22.0b	(+.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) x) (*.f64 x a))
✓	21.5b	(*.f64 a x)

Compiler

Compiled 72 to 41 computations (43.1% saved)

localize12.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	3.8b	(+.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) x) (*.f64 x a))
	1.8b	(.f64 (.f64 1/2 (.f64 a (.f64 x a))) x)
	0.2b	(.f64 a (.f64 x a))
	0.0b	(.f64 1/2 (.f64 a (*.f64 x a)))
✓	0.0b	(.f64 1/2 (.f64 a (*.f64 x a)))
✓	0.2b	(.f64 a (.f64 x a))
✓	1.8b	(.f64 (.f64 1/2 (.f64 a (.f64 x a))) x)
✓	3.8b	(+.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) x) (*.f64 x a))

Compiler

Compiled 42 to 14 computations (66.7% saved)

series9.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite78.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`log-prod_binary64`
434×	`fma-def_binary64`
387×	`exp-prod_binary64`
380×	`pow-prod-down_binary64`
262×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	47
1	196	41
2	2664	41

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 1/4 (pow.f64 (.f64 a x) 4)) (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) (neg.f64 a)))) (/.f64 (pow.f64 (.f64 a x) 2) (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 a (.f64 1/2 (.f64 x (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a))) 2) (cbrt.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a))) (sqrt.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/8 (pow.f64 (.f64 a x) 6) (pow.f64 (.f64 a x) 3)) (/.f64 1 (-.f64 (fma.f64 1/4 (pow.f64 (.f64 a x) 4) (pow.f64 (.f64 a x) 2)) (.f64 1/2 (pow.f64 (.f64 a x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 1/4 (pow.f64 (.f64 a x) 4)) (pow.f64 (.f64 a x) 2)) (/.f64 1 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 (.f64 a x) 4) (pow.f64 (.f64 a x) 2)) (.f64 1/2 (pow.f64 (.f64 a x) 3))) (fma.f64 1/8 (pow.f64 (.f64 a x) 6) (pow.f64 (.f64 a x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) (neg.f64 a))) (-.f64 (.f64 1/4 (pow.f64 (.f64 a x) 4)) (pow.f64 (.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/8 (pow.f64 (.f64 a x) 6) (pow.f64 (.f64 a x) 3)) (-.f64 (fma.f64 1/4 (pow.f64 (.f64 a x) 4) (pow.f64 (.f64 a x) 2)) (.f64 1/2 (pow.f64 (.f64 a x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/8 (pow.f64 (.f64 a x) 6) (pow.f64 (.f64 a x) 3)) (+.f64 (pow.f64 (.f64 a x) 2) (-.f64 (.f64 1/4 (pow.f64 (.f64 a x) 4)) (.f64 1/2 (pow.f64 (.f64 a x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1/4 (pow.f64 (.f64 a x) 4)) (pow.f64 (.f64 a x) 2)) (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/8 (pow.f64 (.f64 a x) 6) (pow.f64 (.f64 a x) 3))) (neg.f64 (-.f64 (fma.f64 1/4 (pow.f64 (.f64 a x) 4) (pow.f64 (.f64 a x) 2)) (.f64 1/2 (pow.f64 (.f64 a x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 1/4 (pow.f64 (.f64 a x) 4)) (pow.f64 (.f64 a x) 2))) (neg.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a x) 2) (.f64 1/4 (pow.f64 (.f64 a x) 4))) (-.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 (.f64 a x) 4) (pow.f64 (.f64 a x) 2)) (.f64 1/2 (pow.f64 (.f64 a x) 3))) (fma.f64 1/8 (pow.f64 (.f64 a x) 6) (pow.f64 (.f64 a x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) (neg.f64 a))) (-.f64 (.f64 1/4 (pow.f64 (.f64 a x) 4)) (pow.f64 (.f64 a x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)))) 2)) (cbrt.f64 (log.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a))))) (sqrt.f64 (log.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a x))) (pow.f64 (exp.f64 1/2) (pow.f64 (.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 a) x) (+.f64 1 (expm1.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a x))) (+.f64 1 (expm1.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)))) (pow.f64 (exp.f64 a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (.f64 a x) 2)) (+.f64 1 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)))) (+.f64 1 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (fma.f64 1/2 (.f64 x (.f64 a a)) a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (pow.f64 (.f64 a x) 2) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a x (.f64 1/2 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x a (.f64 1/2 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 1/2 (.f64 x (.f64 a a))) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a x) 1 (.f64 1/2 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 a a)) (.f64 1/2 x) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (.f64 x (.f64 a a))) x (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) 1 (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 a x) 2) 1/2 (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2))) (cbrt.f64 (.f64 1/4 (pow.f64 (.f64 a x) 4))) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (.f64 a x) 4))) (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2))) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a x)) (pow.f64 (cbrt.f64 (.f64 a x)) 2) (.f64 1/2 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 a x)) 2) (cbrt.f64 (.f64 a x)) (.f64 1/2 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) x) (.f64 1/2 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x (.f64 a a))) 2)) (.f64 (cbrt.f64 (.f64 1/2 (.f64 x (.f64 a a)))) x) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 1/2 (.f64 x (.f64 a a)))) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) a) (.f64 1/2 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 1/2) (.f64 a x)) (.f64 (sqrt.f64 1/2) (.f64 a x)) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a x)) (sqrt.f64 (.f64 a x)) (.f64 1/2 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) x) (.f64 1/2 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 1/2 (.f64 x (.f64 a a)))) (.f64 (sqrt.f64 (.f64 1/2 (.f64 x (.f64 a a)))) x) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 1/2 (.f64 x (.f64 a a)))) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) a) (.f64 1/2 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 a) (.f64 (.f64 a x) x) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 1/2) (.f64 x (.f64 a a)) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x (.f64 a a))) 2))) (cbrt.f64 (.f64 1/2 (.f64 x (.f64 a a)))) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 (.f64 1/2 (.f64 x (.f64 a a))))) (sqrt.f64 (.f64 1/2 (.f64 x (.f64 a a)))) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 1/2 a)) (.f64 a x) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/2 (.f64 x (.f64 a a))) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/2 (.f64 x (.f64 a a))) (sqrt.f64 x)) (sqrt.f64 x) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 1/2 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/2 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 1/2 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 a)) (sqrt.f64 a) (.f64 1/2 (pow.f64 (.f64 a x) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/2 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (.f64 a x) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (.f64 a x) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/4 (pow.f64 (.f64 a x) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/8 (pow.f64 (.f64 a x) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)))) 2)) (cbrt.f64 (log.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2))))) (sqrt.f64 (log.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/4 (pow.f64 (.f64 a x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/8 (pow.f64 (.f64 a x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 a x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/8 (pow.f64 (.f64 a x) 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 (*.f64 a x) 2))) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 x (.f64 a a))) (.f64 1/2 (.f64 x (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 a x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 a a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 a a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (.f64 a a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 x (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 x) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 a a)))) 2)) (cbrt.f64 (log.f64 (.f64 x (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 a a))))) (sqrt.f64 (log.f64 (.f64 x (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 a a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 a a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 a a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 a a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 a a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (.f64 a a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 a a))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/2 (.f64 x (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) (.f64 a x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) (.f64 a x)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/2 (.f64 x (.f64 a a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/2 (.f64 x (.f64 a a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/2 (.f64 x (.f64 a a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/2 (.f64 x (.f64 a a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x (.f64 a a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/2 (.f64 x (.f64 a a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 1/2 (.f64 x (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/2 (.f64 x (.f64 a a))))) 2)) (cbrt.f64 (log.f64 (.f64 1/2 (.f64 x (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/2 (.f64 x (.f64 a a)))))) (sqrt.f64 (log.f64 (.f64 1/2 (.f64 x (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 1/2 (.f64 x (.f64 a a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) (.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 x (.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x (.f64 a a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/2 (.f64 x (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/2 (.f64 x (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/2 (.f64 x (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/2 (.f64 x (.f64 a a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/2 (.f64 x (.f64 a a))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (.f64 x (.f64 a a))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/2 (.f64 x (.f64 a a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 x (*.f64 a a)))) 1) 1))))))

simplify259.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

1251×	`unswap-sqr_binary64`
787×	`fma-def_binary64`
757×	`sqr-pow_binary64`
360×	`*-commutative_binary64`
350×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	1086
1	31	1086
2	68	1068
3	200	1032
4	1005	1032
5	2033	1032
6	2324	1032
7	2647	1032
8	2900	1032
9	3069	1032
10	3264	1032
11	3428	1032
12	3617	1032
13	3832	1032
14	4062	1032
15	4306	1032
16	4571	1032
17	4850	1032
18	5150	1032
19	5464	1032
20	5534	1032
21	7482	1032
22	7769	1032

Stop Event

1×	node limit

Counts

254 → 167

Calls

Call 1

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

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

localize20.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)
	0.2b	(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
	0.2b	(.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)))
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.3b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	0.3b	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2)
✓	0.4b	(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
	10.2b	(cbrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 75 to 20 computations (73.3% saved)

series247.0ms (5.8%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
129.0ms	x	@	-inf	(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
47.0ms	a	@	-inf	(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
39.0ms	a	@	inf	(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
14.0ms	x	@	inf	(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
5.0ms	a	@	0	(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))

rewrite63.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`pow1_binary64`
690×	`add-log-exp_binary64`
690×	`log1p-expm1-u_binary64`
690×	`expm1-log1p-u_binary64`
670×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	197	34
2	2073	34

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) (pow.f64 (cbrt.f64 (cbrt.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))) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (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) 1/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 a x)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))))))

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

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

simplify139.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

540×	`distribute-rgt-in_binary64`
529×	`distribute-lft-in_binary64`
458×	`*-commutative_binary64`
356×	`unswap-sqr_binary64`
296×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	2166
1	487	2011
2	1842	1675
3	5727	1647
4	6920	1647
5	7606	1647

Stop Event

1×	node limit

Counts

119 → 88

Calls

Call 1

Inputs
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x))))
(+.f64 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (pow.f64 a 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x)))))
(+.f64 (.f64 (pow.f64 a 3) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/324 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/34992 (pow.f64 x 3)) (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))))))) (+.f64 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (pow.f64 a 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) x))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) x)))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/34992 (pow.f64 a 3)) (.f64 1/324 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (pow.f64 x 3))) (+.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) x))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)
(+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) x))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2))
(+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) x))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2))) (.f64 1/324 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 x 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))
(+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) x))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2))) (.f64 1/324 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 x 2))))) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/9 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) x))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/324 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/34992 (pow.f64 x 3)) (.f64 1/54 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 3)))))))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)
(+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))
(+.f64 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (pow.f64 x 2)) (+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))
(+.f64 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (pow.f64 x 2)) (+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (+.f64 (.f64 1/9 (.f64 a (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (.f64 2 (.f64 (+.f64 (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/34992 (pow.f64 a 3)) (.f64 1/324 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (pow.f64 x 3)))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)

Outputs
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (.f64 1/18 (.f64 a (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))))))
(fma.f64 1/18 (.f64 (.f64 a x) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))
(.f64 (+.f64 (.f64 x (*.f64 a 1/18)) 1) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (pow.f64 a 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x)))))
(fma.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (.f64 (.f64 a a) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (.f64 1/18 (.f64 a (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))))))
(+.f64 (.f64 a (.f64 (.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) 1/18)) (.f64 (+.f64 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (*.f64 a a)) 1) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))))
(.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (+.f64 1 (.f64 a (.f64 a (.f64 (.f64 x x) 1/162)))) (.f64 x (*.f64 a 1/18))))
(+.f64 (.f64 (pow.f64 a 3) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/324 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/34992 (pow.f64 x 3)) (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))))))) (+.f64 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (pow.f64 a 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x))))))
(fma.f64 (pow.f64 a 3) (.f64 (fma.f64 1/324 (.f64 x (.f64 (.f64 x x) 1/12)) (fma.f64 1/34992 (pow.f64 x 3) (.f64 1/54 (.f64 (pow.f64 x 3) 0)))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) (fma.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (.f64 (.f64 a a) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (.f64 1/18 (.f64 a (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))))))))
(fma.f64 (pow.f64 a 3) (.f64 (fma.f64 1/324 (.f64 (pow.f64 x 3) 1/12) (fma.f64 1/34992 (pow.f64 x 3) 0)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 a (.f64 (.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) 1/18)) (.f64 (+.f64 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (*.f64 a a)) 1) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 (pow.f64 a 3) (.f64 (fma.f64 1/324 (.f64 (pow.f64 x 3) 1/12) (.f64 1/34992 (pow.f64 x 3))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (+.f64 1 (.f64 a (.f64 a (.f64 (.f64 x x) 1/162)))) (.f64 x (.f64 a 1/18)))))
(.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (+.f64 (.f64 x (.f64 a 1/18)) (+.f64 1 (.f64 a (.f64 a (.f64 (.f64 x x) 1/162))))) (.f64 (pow.f64 a 3) (fma.f64 1/324 (.f64 (pow.f64 x 3) 1/12) (.f64 1/34992 (pow.f64 x 3))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) x))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (.f64 1/18 (.f64 a (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))))))
(fma.f64 1/18 (.f64 (.f64 a x) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))
(.f64 (+.f64 (.f64 x (*.f64 a 1/18)) 1) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) x)))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (.f64 1/18 (.f64 a (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))))))))
(+.f64 (.f64 a (.f64 (.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) 1/18)) (.f64 (+.f64 (.f64 x (.f64 x (fma.f64 1/648 (.f64 a a) (.f64 (*.f64 a a) 1/216)))) 1) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))))
(.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 x (.f64 a 1/18)) (+.f64 1 (.f64 x (.f64 x (.f64 (*.f64 a a) 1/162))))))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/34992 (pow.f64 a 3)) (.f64 1/324 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (pow.f64 x 3))) (+.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) x))))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (pow.f64 x 3) (fma.f64 1/54 (.f64 (pow.f64 a 3) 0) (fma.f64 1/34992 (pow.f64 a 3) (.f64 1/324 (.f64 a (.f64 (.f64 a a) 1/12)))))) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (.f64 1/18 (.f64 a (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))))))))
(+.f64 (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (+.f64 0 (.f64 (pow.f64 x 3) (fma.f64 1/324 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/34992)))) (.f64 x (.f64 x (fma.f64 1/648 (.f64 a a) (.f64 (.f64 a a) 1/216)))))) (fma.f64 1/18 (.f64 (*.f64 a x) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 (+.f64 (.f64 x (.f64 a 1/18)) 1) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (+.f64 (.f64 x (fma.f64 (pow.f64 a 3) 1/34992 (.f64 1/324 (.f64 (pow.f64 a 3) 1/12)))) (.f64 (*.f64 a a) 1/162)))))
(.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (+.f64 (.f64 x (.f64 a 1/18)) 1) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 a a) 1/162) (.f64 x (fma.f64 (pow.f64 a 3) 1/34992 (.f64 1/324 (.f64 (pow.f64 a 3) 1/12))))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/9)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18) (pow.f64 (expm1.f64 (*.f64 a x)) 1/18))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)
(exp.f64 (*.f64 (+.f64 (log.f64 a) (log.f64 x)) 2/9))
(+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) x))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2))
(fma.f64 1/9 (.f64 a (.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2))
(fma.f64 1/9 (.f64 (.f64 a x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2))
(.f64 (+.f64 (.f64 x (.f64 1/9 a)) 1) (exp.f64 (.f64 (+.f64 (log.f64 a) (log.f64 x)) 2/9)))
(+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) x))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2))) (.f64 1/324 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 x 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))
(fma.f64 1/9 (.f64 a (.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2))) (fma.f64 (.f64 a a) (fma.f64 2 (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 1/324 (.f64 (*.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)))
(fma.f64 1/9 (.f64 (.f64 a x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)) (fma.f64 (.f64 a a) (fma.f64 (.f64 2 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2) (.f64 (.f64 x x) 1/324))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)))
(+.f64 (.f64 (.f64 a a) (.f64 (exp.f64 (.f64 (+.f64 (log.f64 a) (log.f64 x)) 2/9)) (+.f64 (.f64 2 (.f64 (.f64 x x) 1/162)) (.f64 (.f64 x x) 1/324)))) (.f64 (+.f64 (.f64 x (.f64 1/9 a)) 1) (exp.f64 (*.f64 (+.f64 (log.f64 a) (log.f64 x)) 2/9))))
(+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) x))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2))) (.f64 1/324 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 x 2))))) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 1/9 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) x))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/324 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/34992 (pow.f64 x 3)) (.f64 1/54 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 3)))))))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2))))
(fma.f64 1/9 (.f64 a (.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2))) (fma.f64 (.f64 a a) (fma.f64 2 (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 1/324 (.f64 (.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)))) (fma.f64 (pow.f64 a 3) (fma.f64 1/9 (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2))) (.f64 2 (.f64 (fma.f64 1/324 (.f64 x (.f64 (.f64 x x) 1/12)) (fma.f64 1/34992 (pow.f64 x 3) (.f64 1/54 (.f64 (pow.f64 x 3) 0)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2))))
(fma.f64 1/9 (.f64 (.f64 a x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)) (fma.f64 (.f64 a a) (fma.f64 (.f64 2 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2) (.f64 (.f64 x x) 1/324))) (fma.f64 (pow.f64 a 3) (fma.f64 1/9 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2) (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) x)) (.f64 (fma.f64 1/324 (.f64 (pow.f64 x 3) 1/12) (fma.f64 1/34992 (pow.f64 x 3) 0)) (.f64 2 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2))))
(+.f64 (.f64 (+.f64 (.f64 x (.f64 1/9 a)) 1) (exp.f64 (.f64 (+.f64 (log.f64 a) (log.f64 x)) 2/9))) (.f64 (.f64 a a) (+.f64 (.f64 (exp.f64 (.f64 (+.f64 (log.f64 a) (log.f64 x)) 2/9)) (+.f64 (.f64 2 (.f64 (.f64 x x) 1/162)) (.f64 (.f64 x x) 1/324))) (.f64 a (.f64 (exp.f64 (.f64 (+.f64 (log.f64 a) (log.f64 x)) 2/9)) (+.f64 (.f64 x (.f64 1/9 (.f64 (.f64 x x) 1/162))) (.f64 2 (fma.f64 1/324 (.f64 (pow.f64 x 3) 1/12) (*.f64 1/34992 (pow.f64 x 3))))))))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)
(exp.f64 (*.f64 (+.f64 (log.f64 a) (log.f64 x)) 2/9))
(+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))
(fma.f64 1/9 (.f64 a (.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2))
(fma.f64 1/9 (.f64 (.f64 a x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2))
(.f64 (+.f64 (.f64 x (.f64 1/9 a)) 1) (exp.f64 (.f64 (+.f64 (log.f64 a) (log.f64 x)) 2/9)))
(+.f64 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (pow.f64 x 2)) (+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))
(fma.f64 (fma.f64 1/324 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 2 (.f64 (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)))) (.f64 x x) (fma.f64 1/9 (.f64 a (*.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)))
(fma.f64 (.f64 x x) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2) (+.f64 (.f64 (.f64 a a) 1/324) (.f64 2 (fma.f64 1/648 (.f64 a a) (.f64 (.f64 a a) 1/216))))) (fma.f64 1/9 (.f64 (.f64 a x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)))
(fma.f64 (.f64 x x) (.f64 (exp.f64 (.f64 (+.f64 (log.f64 a) (log.f64 x)) 2/9)) (+.f64 (.f64 a (.f64 a 1/324)) (.f64 2 (.f64 (.f64 a a) 1/162)))) (.f64 (+.f64 (.f64 x (.f64 1/9 a)) 1) (exp.f64 (.f64 (+.f64 (log.f64 a) (log.f64 x)) 2/9))))
(+.f64 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (pow.f64 x 2)) (+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (+.f64 (.f64 1/9 (.f64 a (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (.f64 2 (.f64 (+.f64 (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/34992 (pow.f64 a 3)) (.f64 1/324 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (pow.f64 x 3)))))
(fma.f64 (fma.f64 1/324 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 2 (.f64 (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)))) (.f64 x x) (+.f64 (fma.f64 1/9 (.f64 a (.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 (pow.f64 x 3) (fma.f64 1/9 (.f64 a (.f64 (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2))) (.f64 2 (.f64 (fma.f64 1/54 (.f64 (pow.f64 a 3) 0) (fma.f64 1/34992 (pow.f64 a 3) (.f64 1/324 (.f64 a (.f64 (*.f64 a a) 1/12))))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)))))))
(fma.f64 (.f64 x x) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2) (+.f64 (.f64 (.f64 a a) 1/324) (.f64 2 (fma.f64 1/648 (.f64 a a) (.f64 (.f64 a a) 1/216))))) (fma.f64 1/9 (.f64 (.f64 a x) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)) (fma.f64 (pow.f64 x 3) (fma.f64 1/9 (.f64 a (.f64 (fma.f64 1/648 (.f64 a a) (.f64 (.f64 a a) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2))) (.f64 2 (.f64 (+.f64 0 (fma.f64 1/324 (.f64 (pow.f64 a 3) 1/12) (*.f64 (pow.f64 a 3) 1/34992))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 a) (log.f64 x))) 2))))
(+.f64 (.f64 (+.f64 (.f64 x (.f64 1/9 a)) 1) (exp.f64 (.f64 (+.f64 (log.f64 a) (log.f64 x)) 2/9))) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 (exp.f64 (.f64 (+.f64 (log.f64 a) (log.f64 x)) 2/9)) (+.f64 (.f64 1/9 (.f64 a (.f64 (.f64 a a) 1/162))) (.f64 2 (fma.f64 (pow.f64 a 3) 1/34992 (.f64 1/324 (.f64 (pow.f64 a 3) 1/12))))))) (.f64 (exp.f64 (.f64 (+.f64 (log.f64 a) (log.f64 x)) 2/9)) (+.f64 (.f64 a (.f64 a 1/324)) (.f64 2 (.f64 (*.f64 a a) 1/162)))))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/9)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/18))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))

eval290.0ms (6.8%)

Compiler: Compiled 9560 to 4134 computations (56.8% saved)

prune64.0ms (1.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	354	1	355
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	354	7	361

Error

Counts

361 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.0b	(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	21.5b	(*.f64 a x)
▶	24.9b	(.f64 x (+.f64 a (.f64 1/2 (.f64 x (.f64 a a)))))
✓	0.9b	(.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)))
✓	0.6b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	22.0b	(+.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) x) (*.f64 x a))

Compiler

Compiled 85 to 49 computations (42.4% saved)

localize12.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	7.7b	(.f64 x (.f64 a a))
	0.3b	(.f64 x (+.f64 a (.f64 1/2 (.f64 x (.f64 a a)))))
	0.0b	(.f64 1/2 (.f64 x (*.f64 a a)))
✓	0.0b	(.f64 1/2 (.f64 x (*.f64 a a)))
✓	0.3b	(.f64 x (+.f64 a (.f64 1/2 (.f64 x (.f64 a a)))))
✓	7.7b	(.f64 x (.f64 a a))

Compiler

Compiled 40 to 14 computations (65% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite104.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`log-prod_binary64`
397×	`pow-prod-down_binary64`
386×	`exp-prod_binary64`
359×	`fma-def_binary64`
257×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	199	31
2	2811	31

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a) (*.f64 (*.f64 1/2 (*.f64 x a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 a a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 a a)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 a a))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 a a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 a a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 a a))) 1) 1))))))

((#(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 1/2 (pow.f64 (*.f64 x a) 2)) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x a) 1) (*.f64 (*.f64 1/2 (pow.f64 (*.f64 x a) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 a a) (*.f64 x 1/2) a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 a a) (*.f64 x 1/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 a a) (*.f64 x 1/2) a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 a a) (*.f64 x 1/2) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a)))) 1)))) (#(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 (pow.f64 (*.f64 1/2 (pow.f64 (*.f64 x a) 2)) 2) (*.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) 2) (pow.f64 (*.f64 1/2 (pow.f64 (*.f64 x a) 2)) 2)) (-.f64 (*.f64 x a) (*.f64 1/2 (pow.f64 (*.f64 x a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6) 1/8 (pow.f64 a 3)) x) (fma.f64 a a (*.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a) (-.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4) 1/4)) x) (-.f64 a (*.f64 (*.f64 1/2 (*.f64 x a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6) 1/8 (pow.f64 a 3))) (fma.f64 a a (*.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a) (-.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (*.f64 a a) (*.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4) 1/4))) (-.f64 a (*.f64 (*.f64 1/2 (*.f64 x a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a))))) (sqrt.f64 (log.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 a a) (*.f64 x 1/2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x a (*.f64 1/2 (pow.f64 (*.f64 x a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 1/2 (*.f64 x a)) a) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a x (*.f64 1/2 (pow.f64 (*.f64 x a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 a a)) (*.f64 x 1/2) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (pow.f64 (*.f64 x a) 2) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a) x (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x a) (*.f64 1/2 (pow.f64 (*.f64 x a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (pow.f64 (*.f64 x a) 2)) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) a) (*.f64 1/2 (pow.f64 (*.f64 x a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 (*.f64 1/2 (*.f64 x a)) a)) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) x) (*.f64 1/2 (pow.f64 (*.f64 x a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4) 1/4)) (*.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a)) x) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 x) (*.f64 1/2 (pow.f64 (*.f64 x a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 a (sqrt.f64 x)) (*.f64 1/2 (pow.f64 (*.f64 x a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 1/2 (*.f64 x a)) a)) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) x) (*.f64 1/2 (pow.f64 (*.f64 x a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 x 1/2)) a) (*.f64 (*.f64 (sqrt.f64 (*.f64 x 1/2)) a) x) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x a) 1 (*.f64 (*.f64 1/2 (pow.f64 (*.f64 x a) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) (*.f64 x (*.f64 a a)) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x a) 2) 1/2 (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x a)) 2) (cbrt.f64 (*.f64 x a)) (*.f64 1/2 (pow.f64 (*.f64 x a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (*.f64 x a) 2))) 2) (cbrt.f64 (*.f64 1/2 (pow.f64 (*.f64 x a) 2))) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x a)) (sqrt.f64 (*.f64 x a)) (*.f64 1/2 (pow.f64 (*.f64 x a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 (*.f64 x a) 2))) (sqrt.f64 (*.f64 1/2 (pow.f64 (*.f64 x a) 2))) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 1/2 (pow.f64 (*.f64 x a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 a)) (sqrt.f64 a) (*.f64 1/2 (pow.f64 (*.f64 x a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 1/2 (pow.f64 (*.f64 x a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4) 1/4))) (cbrt.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a)) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 (sqrt.f64 (*.f64 x 1/2)) a)) (*.f64 (sqrt.f64 (*.f64 x 1/2)) a) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 a a) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x 1/2)) a) (cbrt.f64 x)) 2) (cbrt.f64 x) (*.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x a))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 1/2 (*.f64 x a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 a a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 a a)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 x 1/2)) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x 1/2)) a) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a)))) (sqrt.f64 (log.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x 1/2)) a) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 x 1/2)) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 x 1/2)) a) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 1/2 (*.f64 x a)) a)) 3) 1/3))))))

simplify245.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1251×	`unswap-sqr_binary64`
823×	`fma-def_binary64`
757×	`sqr-pow_binary64`
350×	`cube-prod_binary64`
342×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	774
1	31	774
2	68	756
3	198	720
4	1008	720
5	2016	720
6	2307	720
7	2630	720
8	2883	720
9	3052	720
10	3247	720
11	3411	720
12	3600	720
13	3813	720
14	4043	720
15	4287	720
16	4552	720
17	4831	720
18	5131	720
19	5445	720
20	5515	720
21	7463	720
22	7750	720
23	7988	720

Stop Event

1×	node limit

Counts

186 → 123

Calls

Call 1

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

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

eval34.0ms (0.8%)

Compiler: Compiled 1944 to 1001 computations (48.5% saved)

prune19.0ms (0.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	124	6	130

Error

Counts

130 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(.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)))
✓	0.6b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
	22.0b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	22.0b	(+.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) x) (*.f64 x a))
✓	21.5b	(*.f64 a x)

Compiler

Compiled 73 to 42 computations (42.5% saved)

regimes26.0ms (0.6%)

Counts

9 → 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 1/2 (.f64 x (.f64 a a)))))
(+.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) x) (*.f64 x a))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(.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)))

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

Calls

5 calls:

8.0ms	x
6.0ms	a
5.0ms	(*.f64 a x)
2.0ms	(exp.f64 (*.f64 a x))
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Results

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

Compiler

Compiled 115 to 54 computations (53% saved)

regimes14.0ms (0.3%)

Accuracy

Total -3.7b remaining (-17%)

Threshold costs -3.7b (-17%)

Counts

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

Outputs
(*.f64 a x)

Calls

3 calls:

5.0ms	a
4.0ms	x
3.0ms	(*.f64 a x)

Results

Error	Segments	Branch
21.5b	1	`a`
21.5b	1	`x`
21.5b	1	`(*.f64 a x)`

Compiler

Compiled 51 to 27 computations (47.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	6	10

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness81.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

571×	`fma-neg_binary64`
440×	`unswap-sqr_binary64`
420×	`cancel-sign-sub-inv_binary64`
394×	`*-commutative_binary64`
337×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	16	6
2	23	6
3	35	6
4	70	6
5	175	6
6	567	6
7	2415	6
8	5935	6

Stop Event

1×	node limit

Compiler

Compiled 14 to 10 computations (28.6% saved)

end17.0ms (0.4%)

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

Details

analyze33.0ms (0.8%)

sample1.8s (41.9%)

preprocess46.0ms (1.1%)

simplify46.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite40.0ms (0.9%)

simplify60.0ms (1.4%)

eval7.0ms (0.2%)

prune6.0ms (0.1%)

localize3.0ms (0.1%)

localize9.0ms (0.2%)

series22.0ms (0.5%)

rewrite58.0ms (1.4%)

simplify46.0ms (1.1%)

localize18.0ms (0.4%)

series7.0ms (0.2%)

rewrite60.0ms (1.4%)

simplify225.0ms (5.2%)

eval26.0ms (0.6%)

prune25.0ms (0.6%)

localize12.0ms (0.3%)

series9.0ms (0.2%)

rewrite78.0ms (1.8%)

simplify259.0ms (6.1%)

localize20.0ms (0.5%)

series247.0ms (5.8%)

rewrite63.0ms (1.5%)

simplify139.0ms (3.3%)

eval290.0ms (6.8%)

prune64.0ms (1.5%)

localize12.0ms (0.3%)

series5.0ms (0.1%)

rewrite104.0ms (2.4%)

simplify245.0ms (5.7%)

eval34.0ms (0.8%)

prune19.0ms (0.4%)

regimes26.0ms (0.6%)

regimes14.0ms (0.3%)

simplify3.0ms (0.1%)

soundness81.0ms (1.9%)

end17.0ms (0.4%)

Profiling