Details

analyze34.0ms (0.5%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample2.4s (37.1%)

Results

951.0ms	1509×	body	2048	valid
638.0ms	1754×	body	1024	valid
476.0ms	3832×	body	256	valid
314.0ms	1161×	body	512	valid
38.0ms	286×	body	256	infinite

Bogosity

preprocess53.0ms (0.8%)

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)

simplify51.0ms (0.8%)

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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (0.6%)

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)))))

simplify71.0ms (1.1%)

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 (0.1%)

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

prune7.0ms (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
▶	21.7b	(fma.f64 a x (fma.f64 1/2 (pow.f64 (.f64 a x) 2) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
▶	21.6b	(*.f64 a x)
▶	18.2b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
✓	0.0b	(expm1.f64 (*.f64 a x))

Compiler

Compiled 39 to 26 computations (33.3% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.2b	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
✓	18.3b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 25 to 10 computations (60% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite57.0ms (0.9%)

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	15
1	164	15
2	1618	15

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

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

Outputs

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

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

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

975×	`fma-def_binary64`
819×	`associate-l_binary64`
714×	`associate-r_binary64`
542×	`unswap-sqr_binary64`
358×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	763
1	319	751
2	1119	728
3	7046	716

Stop Event

1×	node limit

Counts

89 → 62

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 1/6 (pow.f64 (.f64 a x) 3))
✓	0.2b	(pow.f64 (*.f64 a x) 2)
✓	0.2b	(pow.f64 (*.f64 a x) 3)
✓	13.8b	(fma.f64 1/2 (pow.f64 (.f64 a x) 2) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))

Compiler

Compiled 59 to 32 computations (45.8% saved)

series16.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(fma.f64 1/2 (pow.f64 (.f64 a x) 2) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))
1.0ms	a	@	0	(fma.f64 1/2 (pow.f64 (.f64 a x) 2) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))
1.0ms	a	@	inf	(fma.f64 1/2 (pow.f64 (.f64 a x) 2) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))
1.0ms	x	@	inf	(fma.f64 1/2 (pow.f64 (.f64 a x) 2) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))
1.0ms	a	@	-inf	(fma.f64 1/2 (pow.f64 (.f64 a x) 2) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))

rewrite80.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`log-prod_binary64`
382×	`prod-exp_binary64`
364×	`exp-prod_binary64`
301×	`pow-prod-down_binary64`
274×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	259	44
2	2756	44

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

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

Outputs
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(log.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 a x)) 3/2) (.f64 3/2 (log.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 3/2 (log.f64 (.f64 a x))) (.f64 (log.f64 (.f64 a x)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 a x)) 3/2) (.f64 (log.f64 (.f64 a x)) 3/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/2 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 a x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 a x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 a x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (.f64 x (.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 a (.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a x) (.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 a x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a a) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a x)) 2) (pow.f64 (cbrt.f64 (.f64 a x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a x)) 4) (pow.f64 (cbrt.f64 (.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a x)) (pow.f64 (.f64 a x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a x) 3/2) (sqrt.f64 (.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a x)) 5) (cbrt.f64 (.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 a x) a) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 a x) x) a)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a x) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 a x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 a x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (.f64 a x) 2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 a x)) 1) (log.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 a x)) (.f64 (log.f64 (.f64 a x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 a x)) 1) (.f64 (log.f64 (.f64 a x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 a) 2) (.f64 2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2 (log.f64 a)) (.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 a) 2) (.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 2) (.f64 2 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2 (log.f64 x)) (.f64 (log.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 2) (.f64 (log.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (.f64 a x))) (.f64 (log.f64 (.f64 a x)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 a x)) 3/2) (log.f64 (sqrt.f64 (.f64 a x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (pow.f64 (.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 (.f64 a x) 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 (.f64 a x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 (.f64 a x) 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (pow.f64 (.f64 a x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/36 (pow.f64 (.f64 a x) 6)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 a x) (cbrt.f64 1/6)) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 a x) (cbrt.f64 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 a x) (cbrt.f64 1/6)) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 3 (log.f64 (.f64 a x)) (log.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (log.f64 (.f64 a x)) (log.f64 1/6))) 2)) (cbrt.f64 (fma.f64 3 (log.f64 (.f64 a x)) (log.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 (.f64 a x)) (log.f64 1/6)))) (sqrt.f64 (fma.f64 3 (log.f64 (.f64 a x)) (log.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/36 (pow.f64 (.f64 a x) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 (.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 a x) (cbrt.f64 1/6)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 (.f64 a x)) (log.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 3 (log.f64 (.f64 a x)) (log.f64 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (.f64 a x) (cbrt.f64 1/6)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 a x) (cbrt.f64 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (.f64 a x) (cbrt.f64 1/6)) 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (fma.f64 3 (log.f64 (*.f64 a x)) (log.f64 1/6)) 1) 1))))))

simplify277.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1106×	`sqr-pow_binary64`
748×	`unswap-sqr_binary64`
658×	`pow-sqr_binary64`
604×	`cube-prod_binary64`
508×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	1338
1	46	1338
2	137	1320
3	590	1284
4	1228	1284
5	2522	1284
6	2609	1284
7	2719	1284
8	2838	1284
9	2984	1284
10	3201	1284
11	3485	1284
12	3826	1284
13	4274	1284
14	4841	1284
15	5547	1284
16	5851	1284
17	6161	1284
18	6447	1284
19	6757	1284
20	7053	1284

Stop Event

1×	node limit

Counts

250 → 160

Calls

Call 1

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

Outputs
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 (.f64 1/2 (.f64 a a)) (.f64 x x))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 a (.f64 (.f64 a (.f64 x x)) 1/2))
(.f64 a (.f64 1/2 (.f64 a (.f64 x x))))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x 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 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x 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 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 (.f64 1/2 (.f64 a a)) (.f64 x x))
(.f64 1/2 (.f64 a (.f64 a (.f64 x x))))
(.f64 a (.f64 (.f64 a (.f64 x x)) 1/2))
(.f64 a (.f64 1/2 (.f64 a (.f64 x x))))
(.f64 1/2 (.f64 (.f64 a x) (.f64 a x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x 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 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x 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 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))
(.f64 x (.f64 x (fma.f64 1/2 (.f64 a a) (.f64 (pow.f64 a 3) (*.f64 x 1/6)))))
(.f64 (.f64 a a) (fma.f64 1/6 (.f64 a (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 a (.f64 a (*.f64 x x)))
(.f64 (.f64 a x) (*.f64 a x))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))

eval112.0ms (1.7%)

Compiler: Compiled 5200 to 2972 computations (42.8% saved)

prune38.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	253	2	255
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	254	5	259

Error

0.0b

Counts

259 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.6b	(*.f64 a x)
▶	23.9b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
▶	22.1b	(fma.f64 a x (.f64 1/2 (.f64 (.f64 a x) (.f64 a x))))
✓	18.2b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
✓	0.0b	(expm1.f64 (*.f64 a x))

Compiler

Compiled 47 to 29 computations (38.3% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))
✓	0.7b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
✓	6.9b	(.f64 (.f64 a a) (*.f64 1/2 x))

Compiler

Compiled 38 to 18 computations (52.6% saved)

series10.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite92.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`log-prod_binary64`
412×	`pow-prod-down_binary64`
392×	`fma-def_binary64`
378×	`exp-prod_binary64`
261×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	200	35
2	2855	35

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

Outputs

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

simplify249.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	882
1	33	846
2	73	792
3	205	792
4	1002	792
5	2025	792
6	2316	792
7	2639	792
8	2892	792
9	3061	792
10	3256	792
11	3420	792
12	3609	792
13	3824	792
14	4054	792
15	4298	792
16	4563	792
17	4842	792
18	5142	792
19	5456	792
20	5526	792
21	7474	792
22	7761	792
23	7981	792

Stop Event

1×	node limit

Counts

239 → 177

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 10 computations (72.2% saved)

series31.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
25.0ms	x	@	-inf	(fma.f64 a x (.f64 1/2 (.f64 (.f64 a x) (.f64 a x))))
1.0ms	a	@	0	(.f64 (.f64 a x) (*.f64 a x))
1.0ms	a	@	inf	(.f64 (.f64 a x) (*.f64 a x))
1.0ms	x	@	0	(.f64 (.f64 a x) (*.f64 a x))
0.0ms	x	@	inf	(fma.f64 a x (.f64 1/2 (.f64 (.f64 a x) (.f64 a x))))

rewrite74.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
720×	`add-log-exp_binary64`
720×	`log1p-expm1-u_binary64`
720×	`expm1-log1p-u_binary64`
703×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
1	166	31
2	2005	31

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

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

Outputs

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

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

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

simplify210.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

899×	`unswap-sqr_binary64`
738×	`fma-def_binary64`
700×	`sqr-pow_binary64`
537×	`fabs-mul_binary64`
498×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	918
1	26	918
2	58	900
3	176	864
4	878	864
5	1746	864
6	2030	864
7	2272	864
8	2549	864
9	2720	864
10	2913	864
11	4373	864
12	4666	864
13	4964	864
14	5329	864
15	5748	864
16	6362	864
17	7145	864
18	7640	864

Stop Event

1×	node limit

Counts

116 → 51

Calls

Call 1

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

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

eval130.0ms (2%)

Compiler: Compiled 3657 to 2060 computations (43.7% saved)

prune67.0ms (1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	224	4	228
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	226	7	233

Error

0.0b

Counts

233 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.1b	(.f64 (+.f64 (.f64 (.f64 a x) 1/2) 1) (.f64 a x))
▶	22.1b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
✓	21.6b	(*.f64 a x)
▶	22.1b	(+.f64 (.f64 a (.f64 (.f64 a (.f64 1/2 x)) x)) (*.f64 a x))
✓	18.2b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	53.0b	(.f64 (.f64 a a) (.f64 1/2 (.f64 x x)))

Compiler

Compiled 72 to 46 computations (36.1% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 a (*.f64 a x)))
✓	0.0b	(+.f64 a (.f64 1/2 (.f64 a (*.f64 a x))))
✓	0.1b	(.f64 a (.f64 a x))
✓	0.7b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))

Compiler

Compiled 40 to 14 computations (65% saved)

series12.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite126.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`log-prod_binary64`
413×	`pow-prod-down_binary64`
396×	`exp-prod_binary64`
355×	`fma-def_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	46
1	198	42
2	2757	42

Stop Event

1×	node limit

Counts

4 → 206

Calls

Call 1

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

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

simplify316.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	1050
1	33	1014
2	73	960
3	206	960
4	1007	960
5	2030	960
6	2321	960
7	2644	960
8	2897	960
9	3066	960
10	3261	960
11	3425	960
12	3614	960
13	3829	960
14	4059	960
15	4303	960
16	4568	960
17	4847	960
18	5147	960
19	5461	960
20	5531	960
21	7479	960
22	7766	960

Stop Event

1×	node limit

Counts

302 → 218

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 x x))
✓	15.5b	(.f64 (.f64 a a) (.f64 1/2 (.f64 x x)))

Compiler

Compiled 25 to 10 computations (60% saved)

series9.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(.f64 1/2 (.f64 x x))
1.0ms	x	@	inf	(.f64 1/2 (.f64 x x))
0.0ms	a	@	0	(.f64 (.f64 a a) (.f64 1/2 (.f64 x x)))
0.0ms	x	@	-inf	(.f64 (.f64 a a) (.f64 1/2 (.f64 x x)))
0.0ms	a	@	-inf	(.f64 (.f64 a a) (.f64 1/2 (.f64 x x)))

rewrite81.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
655×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	164	19
2	1934	19

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify193.0ms (3%)

Algorithm

1×	egg-herbie

Rules

900×	`unswap-sqr_binary64`
743×	`cube-prod_binary64`
705×	`fabs-mul_binary64`
700×	`sqr-pow_binary64`
336×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	396
1	23	396
2	56	396
3	183	396
4	861	396
5	1421	396
6	1487	396
7	1587	396
8	1707	396
9	1829	396
10	1976	396
11	3436	396
12	3665	396
13	3961	396
14	4293	396
15	4710	396
16	5328	396
17	6101	396
18	6592	396
19	6974	396
20	7402	396
21	7804	396

Stop Event

1×	node limit

Counts

60 → 28

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 32 to 16 computations (50% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`pow1_binary64`
845×	`log1p-expm1-u_binary64`
845×	`expm1-log1p-u_binary64`
844×	`add-log-exp_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	188	21
2	2329	21

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

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

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

simplify199.0ms (3%)

Algorithm

1×	egg-herbie

Rules

899×	`unswap-sqr_binary64`
834×	`fma-def_binary64`
700×	`sqr-pow_binary64`
498×	`cube-prod_binary64`
447×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	534
1	30	534
2	68	516
3	197	480
4	962	480
5	1886	480
6	2214	480
7	2476	480
8	2753	480
9	2926	480
10	3128	480
11	4588	480
12	4893	480
13	5191	480
14	5563	480
15	5984	480
16	6597	480
17	7361	480
18	7859	480

Stop Event

1×	node limit

Counts

80 → 39

Calls

Call 1

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

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

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 a (*.f64 1/2 x)) x)
✓	3.3b	(.f64 a (.f64 (.f64 a (.f64 1/2 x)) x))
✓	4.0b	(+.f64 (.f64 a (.f64 (.f64 a (.f64 1/2 x)) x)) (*.f64 a x))

Compiler

Compiled 45 to 24 computations (46.7% saved)

series7.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite78.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

654×	`log-prod_binary64`
516×	`fma-def_binary64`
479×	`pow-prod-down_binary64`
290×	`pow-unpow_binary64`
290×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	219	37
2	3016	37

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

Outputs

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

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

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

simplify317.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1251×	`unswap-sqr_binary64`
873×	`fma-def_binary64`
757×	`sqr-pow_binary64`
392×	`*-commutative_binary64`
268×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	918
1	32	918
2	70	900
3	196	864
4	993	864
5	2043	864
6	2378	864
7	2641	864
8	2939	864
9	3136	864
10	3340	864
11	3511	864
12	3703	864
13	3916	864
14	4146	864
15	4390	864
16	4655	864
17	4934	864
18	5234	864
19	5548	864
20	5618	864
21	7566	864
22	7885	864

Stop Event

1×	node limit

Counts

200 → 135

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

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

eval243.0ms (3.7%)

Compiler: Compiled 6868 to 3236 computations (52.9% saved)

prune296.0ms (4.5%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	420	0	420
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	420	7	427

Error

0.0b

Counts

427 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	22.1b	(.f64 (+.f64 (.f64 (.f64 a x) 1/2) 1) (.f64 a x))
✓	22.1b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
✓	21.6b	(*.f64 a x)
✓	22.1b	(+.f64 (.f64 a (.f64 (.f64 a (.f64 1/2 x)) x)) (*.f64 a x))
✓	18.2b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	53.0b	(.f64 (.f64 a a) (.f64 1/2 (.f64 x x)))

Compiler

Compiled 72 to 46 computations (36.1% saved)

regimes57.0ms (0.9%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	a
13.0ms	x
13.0ms	(*.f64 a x)
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
5.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 131 to 66 computations (49.6% saved)

regimes32.0ms (0.5%)

Accuracy

Total -31.4b remaining (-145.3%)

Threshold costs -31.4b (-145.3%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

10.0ms	a
10.0ms	x
9.0ms	(*.f64 a x)

Results

Error	Segments	Branch
21.6b	1	`a`
21.6b	1	`x`
21.6b	1	`(*.f64 a x)`

Compiler

Compiled 71 to 36 computations (49.3% saved)

simplify5.0ms (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×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness144.0ms (2.2%)

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)

end18.0ms (0.3%)

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

Details

analyze34.0ms (0.5%)

sample2.4s (37.1%)

preprocess53.0ms (0.8%)

simplify51.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series3.0ms (0%)

rewrite41.0ms (0.6%)

simplify71.0ms (1.1%)

eval7.0ms (0.1%)

prune7.0ms (0.1%)

localize11.0ms (0.2%)

series8.0ms (0.1%)

rewrite57.0ms (0.9%)

simplify57.0ms (0.9%)

localize3.0ms (0%)

localize28.0ms (0.4%)

series16.0ms (0.2%)

rewrite80.0ms (1.2%)

simplify277.0ms (4.2%)

eval112.0ms (1.7%)

prune38.0ms (0.6%)

localize13.0ms (0.2%)

series10.0ms (0.2%)

rewrite92.0ms (1.4%)

simplify249.0ms (3.8%)

localize9.0ms (0.1%)

series31.0ms (0.5%)

rewrite74.0ms (1.1%)

simplify210.0ms (3.2%)

eval130.0ms (2%)

prune67.0ms (1%)

localize25.0ms (0.4%)

series12.0ms (0.2%)

rewrite126.0ms (1.9%)

simplify316.0ms (4.8%)

localize14.0ms (0.2%)

series9.0ms (0.1%)

rewrite81.0ms (1.2%)

simplify193.0ms (3%)

localize10.0ms (0.2%)

series6.0ms (0.1%)

rewrite61.0ms (0.9%)

simplify199.0ms (3%)

localize16.0ms (0.3%)

series7.0ms (0.1%)

rewrite78.0ms (1.2%)

simplify317.0ms (4.8%)

eval243.0ms (3.7%)

prune296.0ms (4.5%)

regimes57.0ms (0.9%)

regimes32.0ms (0.5%)

simplify5.0ms (0.1%)

soundness144.0ms (2.2%)

end18.0ms (0.3%)

Profiling