Details

analyze30.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.8s (24.9%)

Results

698.0ms	1516×	body	2048	valid
488.0ms	1769×	body	1024	valid
386.0ms	3814×	body	256	valid
199.0ms	1157×	body	512	valid
34.0ms	328×	body	256	infinite

Bogosity

preprocess54.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a x)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 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	x	@	-inf	(expm1.f64 (*.f64 a x))
0.0ms	a	@	inf	(expm1.f64 (*.f64 a x))
0.0ms	a	@	-inf	(expm1.f64 (*.f64 a x))

rewrite47.0ms (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)))))

simplify65.0ms (0.9%)

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

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	5	34

Error

0.0b

Counts

34 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.1b	(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	39.1b	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
▶	22.7b	(fma.f64 a x (fma.f64 1/2 (pow.f64 (.f64 a x) 2) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
▶	22.5b	(*.f64 a x)

Compiler

Compiled 51 to 33 computations (35.3% saved)

localize3.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 (.f64 a (.f64 a x)) a)
✓	0.2b	(.f64 a (.f64 a x))
✓	1.4b	(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))

Compiler

Compiled 31 to 10 computations (67.7% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite63.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	161	32
2	1907	32

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

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

Outputs

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

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

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

simplify227.0ms (3.1%)

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	810
1	33	774
2	73	720
3	206	720
4	1007	720
5	2030	720
6	2321	720
7	2644	720
8	2897	720
9	3066	720
10	3261	720
11	3425	720
12	3614	720
13	3829	720
14	4059	720
15	4303	720
16	4568	720
17	4847	720
18	5147	720
19	5461	720
20	5531	720
21	7479	720
22	7766	720

Stop Event

1×	node limit

Counts

121 → 61

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)))

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)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.1b	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	9.1b	(sqrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series11.0ms (0.2%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
1.0ms	a	@	0	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
1.0ms	x	@	-inf	(sqrt.f64 (expm1.f64 (*.f64 a x)))
1.0ms	x	@	0	(sqrt.f64 (expm1.f64 (*.f64 a x)))
1.0ms	a	@	0	(sqrt.f64 (expm1.f64 (*.f64 a x)))

rewrite53.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`pow1_binary64`
543×	`add-log-exp_binary64`
543×	`log1p-expm1-u_binary64`
543×	`expm1-log1p-u_binary64`
529×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	161	14
2	1543	14

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	224
1	17	224
2	24	224
3	36	224
4	71	224
5	176	224
6	579	224
7	2423	224
8	5958	224

Stop Event

1×	node limit

Counts

71 → 42

Calls

Call 1

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

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

localize20.0ms (0.3%)

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)
✓	15.3b	(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)

series17.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(.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	x	@	0	(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)))

rewrite79.0ms (1.1%)

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

simplify292.0ms (4%)

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)))

eval126.0ms (1.7%)

Compiler: Compiled 5348 to 2842 computations (46.9% saved)

prune236.0ms (3.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	292	4	296
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	294	7	301

Error

0.0b

Counts

301 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.7b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
✓	39.1b	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	22.5b	(*.f64 a x)
▶	22.7b	(fma.f64 a x (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (.f64 a x) 3))))
▶	23.1b	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	35.7b	(.f64 x (/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) (.f64 1/2 (.f64 a (.f64 x a)))) (.f64 a a)) (-.f64 (.f64 1/2 (.f64 a (.f64 x a))) a)))

Compiler

Compiled 97 to 58 computations (40.2% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (.f64 x (*.f64 a 1/2)))
✓	4.9b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`pow1_binary64`
723×	`add-log-exp_binary64`
723×	`log1p-expm1-u_binary64`
723×	`expm1-log1p-u_binary64`
707×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	164	23
2	2020	23

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify235.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1252×	`unswap-sqr_binary64`
927×	`sqr-pow_binary64`
591×	`cube-prod_binary64`
484×	`fabs-mul_binary64`
366×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	552
1	26	552
2	62	552
3	200	552
4	934	552
5	1599	552
6	1665	552
7	1765	552
8	1885	552
9	2007	552
10	2154	552
11	2318	552
12	2507	552
13	2722	552
14	2952	552
15	3196	552
16	3461	552
17	3740	552
18	4040	552
19	4354	552
20	4424	552
21	6372	552
22	6617	552
23	6865	552
24	6983	552
25	7805	552

Stop Event

1×	node limit

Counts

74 → 30

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

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 a (*.f64 x a)))
✓	0.0b	(+.f64 (.f64 1/2 (.f64 a (*.f64 x a))) a)
✓	0.2b	(.f64 a (.f64 x a))
✓	1.4b	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))

Compiler

Compiled 40 to 14 computations (65% saved)

series10.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
1.0ms	x	@	-inf	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
0.0ms	x	@	0	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
0.0ms	a	@	inf	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
0.0ms	a	@	-inf	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))

rewrite109.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`log-prod_binary64`
407×	`pow-prod-down_binary64`
389×	`exp-prod_binary64`
342×	`fma-def_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	199	42
2	2717	42

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

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

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

simplify301.0ms (4.1%)

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

287 → 203

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)))

localize49.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 a (.f64 x a))
✓	1.4b	(.f64 x (/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) (.f64 1/2 (.f64 a (.f64 x a)))) (.f64 a a)) (-.f64 (.f64 1/2 (.f64 a (.f64 x a))) a)))
✓	9.3b	(-.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) (.f64 1/2 (.f64 a (.f64 x a)))) (.f64 a a))
✓	34.5b	(/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) (.f64 1/2 (.f64 a (.f64 x a)))) (.f64 a a)) (-.f64 (.f64 1/2 (.f64 a (*.f64 x a))) a))

Compiler

Compiled 126 to 43 computations (65.9% saved)

series22.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	a	@	0	(/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) (.f64 1/2 (.f64 a (.f64 x a)))) (.f64 a a)) (-.f64 (.f64 1/2 (.f64 a (*.f64 x a))) a))
3.0ms	a	@	0	(.f64 x (/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) (.f64 1/2 (.f64 a (.f64 x a)))) (.f64 a a)) (-.f64 (.f64 1/2 (.f64 a (.f64 x a))) a)))
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) (.f64 1/2 (.f64 a (.f64 x a)))) (.f64 a a)) (-.f64 (.f64 1/2 (.f64 a (*.f64 x a))) a))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) (.f64 1/2 (.f64 a (.f64 x a)))) (.f64 a a)) (-.f64 (.f64 1/2 (.f64 a (*.f64 x a))) a))
1.0ms	a	@	inf	(/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) (.f64 1/2 (.f64 a (.f64 x a)))) (.f64 a a)) (-.f64 (.f64 1/2 (.f64 a (*.f64 x a))) a))

rewrite158.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`log-prod_binary64`
859×	`fma-def_binary64`
431×	`fma-neg_binary64`
268×	`expm1-udef_binary64`
268×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	90
1	307	44
2	4734	44

Stop Event

1×	node limit

Counts

3 → 367

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 1/2 (*.f64 x (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 x (*.f64 a a))) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (/.f64 (pow.f64 (*.f64 x (*.f64 a a)) 2) (fma.f64 1/2 (*.f64 x (*.f64 a a)) (neg.f64 a)))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 1/2 (*.f64 x (*.f64 a a)) (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/2 (*.f64 x (*.f64 a a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (*.f64 x (*.f64 a a)) a))) (cbrt.f64 (exp.f64 (fma.f64 1/2 (*.f64 x (*.f64 a a)) a))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (*.f64 x (*.f64 a a)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (*.f64 x (*.f64 a a)) a)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (*.f64 x (*.f64 a a)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/4 (/.f64 (pow.f64 (*.f64 x (*.f64 a a)) 2) (fma.f64 1/2 (*.f64 x (*.f64 a a)) (neg.f64 a)))) (/.f64 (*.f64 a a) (fma.f64 1/2 (*.f64 x (*.f64 a a)) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x (*.f64 a a)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/4 (pow.f64 (*.f64 x (*.f64 a a)) 2)) (*.f64 a a)) (/.f64 1 (fma.f64 1/2 (*.f64 x (*.f64 a a)) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (*.f64 x (*.f64 a a)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x (*.f64 a a)) a)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x (*.f64 a a)) a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x (*.f64 a a)) a) 2)) (cbrt.f64 (fma.f64 1/2 (*.f64 x (*.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (*.f64 x (*.f64 a a)) 2)) (*.f64 a a))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (pow.f64 (*.f64 x (*.f64 a a)) 2)) (*.f64 a a))) (/.f64 1 (fma.f64 1/2 (*.f64 x (*.f64 a a)) (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 x (*.f64 a a)) a)) (sqrt.f64 (fma.f64 1/2 (*.f64 x (*.f64 a a)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 1/2 (*.f64 x (*.f64 a a))) (sqrt.f64 (*.f64 a (neg.f64 a)))) (*.f64 (hypot.f64 (*.f64 1/2 (*.f64 x (*.f64 a a))) (sqrt.f64 (*.f64 a (neg.f64 a)))) (/.f64 1 (fma.f64 1/2 (*.f64 x (*.f64 a a)) (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (*.f64 x (*.f64 a a)) 2)) (*.f64 a a))) (/.f64 1 (neg.f64 (fma.f64 1/2 (*.f64 x (*.f64 a a)) (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/2 (*.f64 x (*.f64 a a)) (neg.f64 a))) (-.f64 (*.f64 1/4 (pow.f64 (*.f64 x (*.f64 a a)) 2)) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (*.f64 x 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simplify128.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

820×	`unswap-sqr_binary64`
796×	`fma-neg_binary64`
668×	`associate-l_binary64`
463×	`associate-r_binary64`
449×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	1066
1	51	1012
2	127	958
3	424	958
4	2548	958
5	6079	958
6	7828	958

Stop Event

1×	node limit

Counts

439 → 383

Calls

Call 1

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

Outputs
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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (fma.f64 1/2 (.f64 a x) 1) a)
(.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 a (*.f64 1/2 x)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 1/2 (*.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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (fma.f64 1/2 (.f64 a x) 1) a)
(.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 a (*.f64 1/2 x)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 1/2 (*.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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (fma.f64 1/2 (.f64 a x) 1) a)
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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (fma.f64 1/2 (.f64 a x) 1) a)
(.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 a (*.f64 1/2 x)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 1/2 (*.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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (fma.f64 1/2 (.f64 a x) 1) a)
(.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 a (*.f64 1/2 x)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 1/2 (*.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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (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 a (.f64 a x)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(.f64 (fma.f64 1/2 (.f64 a x) 1) a)
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(.f64 1/4 (.f64 (pow.f64 a 4) (pow.f64 x 2)))
(.f64 1/4 (.f64 (pow.f64 a 4) (*.f64 x x)))
(.f64 1/4 (.f64 x (*.f64 x (pow.f64 a 4))))
(.f64 x (.f64 x (*.f64 1/4 (pow.f64 a 4))))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(.f64 1/4 (.f64 (pow.f64 a 4) (pow.f64 x 2)))
(.f64 1/4 (.f64 (pow.f64 a 4) (*.f64 x x)))
(.f64 1/4 (.f64 x (*.f64 x (pow.f64 a 4))))
(.f64 x (.f64 x (*.f64 1/4 (pow.f64 a 4))))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(*.f64 -1 (pow.f64 a 2))
(neg.f64 (*.f64 a a))
(*.f64 a (neg.f64 a))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(.f64 1/4 (.f64 (pow.f64 a 4) (pow.f64 x 2)))
(.f64 1/4 (.f64 (pow.f64 a 4) (*.f64 x x)))
(.f64 1/4 (.f64 x (*.f64 x (pow.f64 a 4))))
(.f64 x (.f64 x (*.f64 1/4 (pow.f64 a 4))))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(.f64 1/4 (.f64 (pow.f64 a 4) (pow.f64 x 2)))
(.f64 1/4 (.f64 (pow.f64 a 4) (*.f64 x x)))
(.f64 1/4 (.f64 x (*.f64 x (pow.f64 a 4))))
(.f64 x (.f64 x (*.f64 1/4 (pow.f64 a 4))))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(+.f64 (.f64 -1 (pow.f64 a 2)) (.f64 1/4 (*.f64 (pow.f64 a 4) (pow.f64 x 2))))
(fma.f64 -1 (.f64 a a) (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))))
(-.f64 (.f64 1/4 (.f64 x (.f64 x (pow.f64 a 4)))) (.f64 a a))
(fma.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x)) (*.f64 a (neg.f64 a)))
(-.f64 (.f64 1/4 (.f64 (pow.f64 a 4) (.f64 x x))) (.f64 a a))
(.f64 a (-.f64 (.f64 x (.f64 (.f64 x 1/4) (pow.f64 a 3))) a))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(fma.f64 a x (.f64 1/2 (.f64 x (.f64 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 x (.f64 a (.f64 a (.f64 1/2 x))))
(.f64 a (.f64 x (.f64 x (.f64 a 1/2))))
(.f64 (.f64 a (.f64 a x)) (.f64 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 1/2 (.f64 x (.f64 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 x (.f64 a (.f64 a (.f64 1/2 x))))
(.f64 a (.f64 x (.f64 x (.f64 a 1/2))))
(.f64 (.f64 a (.f64 a x)) (.f64 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 1/2 (.f64 x (.f64 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 x (.f64 a (.f64 a (.f64 1/2 x))))
(.f64 a (.f64 x (.f64 x (.f64 a 1/2))))
(.f64 (.f64 a (.f64 a x)) (.f64 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 1/2 (.f64 x (.f64 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 x (.f64 a (.f64 a (.f64 1/2 x))))
(.f64 a (.f64 x (.f64 x (.f64 a 1/2))))
(.f64 (.f64 a (.f64 a x)) (.f64 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 1/2 (.f64 x (.f64 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) 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 a (.f64 a x)))))
(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 a (.f64 (fma.f64 1/2 (*.f64 a x) 1) x))

localize148.0ms (2%)

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)
✓	15.3b	(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (.f64 a x) 3)))

Compiler

Compiled 68 to 38 computations (44.1% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (.f64 a x) 3)))
0.0ms	a	@	-inf	(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (.f64 a x) 3)))
0.0ms	x	@	inf	(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (.f64 a x) 3)))
0.0ms	a	@	inf	(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (.f64 a x) 3)))
0.0ms	x	@	-inf	(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (.f64 a x) 3)))

rewrite72.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`log-prod_binary64`
386×	`pow-prod-down_binary64`
330×	`fma-def_binary64`
318×	`pow2_binary64`
268×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	289	20
2	3391	20

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/2 (pow.f64 (*.f64 a x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (pow.f64 (*.f64 a x) 4)) (fma.f64 1/2 (pow.f64 (*.f64 a x) 2) (*.f64 -1/6 (pow.f64 (*.f64 a x) 3)))) (/.f64 (*.f64 1/36 (pow.f64 (*.f64 a x) 6)) (fma.f64 1/2 (pow.f64 (*.f64 a x) 2) (*.f64 -1/6 (pow.f64 (*.f64 a x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/2 (pow.f64 (*.f64 a x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/2 (pow.f64 (*.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))) (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))) 2) (cbrt.f64 (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))) (sqrt.f64 (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (*.f64 a x) 9) 1/216 (*.f64 1/8 (pow.f64 (*.f64 a x) 6))) (/.f64 1 (-.f64 (fma.f64 1/4 (pow.f64 (*.f64 a x) 4) (*.f64 1/36 (pow.f64 (*.f64 a x) 6))) (*.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)) (*.f64 1/6 (pow.f64 (*.f64 a x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/4 (pow.f64 (*.f64 a x) 4)) (*.f64 1/36 (pow.f64 (*.f64 a x) 6))) (/.f64 1 (fma.f64 1/2 (pow.f64 (*.f64 a x) 2) (*.f64 -1/6 (pow.f64 (*.f64 a x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 (*.f64 a x) 4) (*.f64 1/36 (pow.f64 (*.f64 a x) 6))) (*.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)) (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))) (fma.f64 (pow.f64 (*.f64 a x) 9) 1/216 (*.f64 1/8 (pow.f64 (*.f64 a x) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/2 (pow.f64 (*.f64 a x) 2) (*.f64 -1/6 (pow.f64 (*.f64 a x) 3))) (-.f64 (*.f64 1/4 (pow.f64 (*.f64 a x) 4)) (*.f64 1/36 (pow.f64 (*.f64 a x) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 a x) 9) 1/216 (*.f64 1/8 (pow.f64 (*.f64 a x) 6))) (-.f64 (fma.f64 1/4 (pow.f64 (*.f64 a x) 4) (*.f64 1/36 (pow.f64 (*.f64 a x) 6))) (*.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)) (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 a x) 9) 1/216 (*.f64 1/8 (pow.f64 (*.f64 a x) 6))) (fma.f64 1/36 (pow.f64 (*.f64 a x) 6) (-.f64 (*.f64 1/4 (pow.f64 (*.f64 a x) 4)) (*.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)) (*.f64 1/6 (pow.f64 (*.f64 a x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (pow.f64 (*.f64 a x) 4)) (*.f64 1/36 (pow.f64 (*.f64 a x) 6))) (fma.f64 1/2 (pow.f64 (*.f64 a x) 2) (*.f64 -1/6 (pow.f64 (*.f64 a x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 a x) 9) 1/216 (*.f64 1/8 (pow.f64 (*.f64 a x) 6)))) (neg.f64 (-.f64 (fma.f64 1/4 (pow.f64 (*.f64 a x) 4) (*.f64 1/36 (pow.f64 (*.f64 a x) 6))) (*.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)) (*.f64 1/6 (pow.f64 (*.f64 a x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/4 (pow.f64 (*.f64 a x) 4)) (*.f64 1/36 (pow.f64 (*.f64 a x) 6)))) (neg.f64 (fma.f64 1/2 (pow.f64 (*.f64 a x) 2) (*.f64 -1/6 (pow.f64 (*.f64 a x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/36 (pow.f64 (*.f64 a x) 6)) (*.f64 1/4 (pow.f64 (*.f64 a x) 4))) (-.f64 (*.f64 1/6 (pow.f64 (*.f64 a x) 3)) (*.f64 1/2 (pow.f64 (*.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/6 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(*.f64 a x) 2)))) (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 (*.f64 a x) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))) (sqrt.f64 (exp.f64 (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/6) (pow.f64 (*.f64 a x) 3)) (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))) (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/2 (pow.f64 (*.f64 a x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (pow.f64 (*.f64 a x) 2) (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a x) (*.f64 (*.f64 a x) 1/2) (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a x) (*.f64 (pow.f64 (*.f64 a x) 2) 1/6) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a x) 2) 1/2 (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a x) 2) (*.f64 (*.f64 a x) 1/6) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)) 1 (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (pow.f64 (*.f64 a x) 3) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a x) 3) 1/6 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 (*.f64 a x) 3)) 1 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)) (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 (pow.f64 (*.f64 a x) 3)) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) (*.f64 (*.f64 x x) 1/2) (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2))) (cbrt.f64 (*.f64 1/4 (pow.f64 (*.f64 a x) 4))) (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (*.f64 a x) 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2))) (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a x) (cbrt.f64 1/6)) (pow.f64 (*.f64 (*.f64 a x) (cbrt.f64 1/6)) 2) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 a x) (cbrt.f64 1/6)) 2) (*.f64 (*.f64 a x) (cbrt.f64 1/6)) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 a x)) 4) (*.f64 (cbrt.f64 (pow.f64 (*.f64 a x) 2)) 1/2) (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a x) (sqrt.f64 1/2)) (*.f64 (*.f64 a x) (sqrt.f64 1/2)) (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 (*.f64 a x) 3/2)) (*.f64 (sqrt.f64 1/6) (pow.f64 (*.f64 a x) 3/2)) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) (*.f64 (pow.f64 x 3) 1/6) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 a x) 3/2) (*.f64 (pow.f64 (*.f64 a x) 3/2) 1/6) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (*.f64 a x)) (*.f64 a x) (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (*.f64 a x)) 4)) (cbrt.f64 (pow.f64 (*.f64 a x) 2)) (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (*.f64 a a)) (*.f64 x x) (*.f64 1/6 (pow.f64 (*.f64 a x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 a x)) (pow.f64 (*.f64 a x) 2) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 (*.f64 a x) 2)) (*.f64 a x) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 (*.f64 a x) 3/2)) (pow.f64 (*.f64 a x) 3/2) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 a 3)) (pow.f64 x 3) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))))

simplify336.0ms (4.6%)

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	546
1	46	546
2	137	528
3	590	492
4	1228	492
5	2522	492
6	2609	492
7	2719	492
8	2838	492
9	2984	492
10	3201	492
11	3485	492
12	3826	492
13	4274	492
14	4841	492
15	5547	492
16	5851	492
17	6161	492
18	6447	492
19	6757	492
20	7053	492

Stop Event

1×	node limit

Counts

90 → 71

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))))

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))))

eval626.0ms (8.6%)

Compiler: Compiled 24051 to 10392 computations (56.8% saved)

prune298.0ms (4.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	888	2	890
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	890	7	897

Error

0.0b

Counts

897 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	52.7b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
✓	39.1b	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	22.5b	(*.f64 a x)
▶	22.7b	(fma.f64 a x (+.f64 (.f64 1/2 (.f64 (.f64 (.f64 a x) x) a)) (.f64 1/6 (pow.f64 (.f64 a x) 3))))
✓	23.1b	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	34.1b	(.f64 x (/.f64 (.f64 a (neg.f64 a)) (-.f64 (.f64 1/2 (.f64 a (*.f64 x a))) a)))

Compiler

Compiled 84 to 53 computations (36.9% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 1/2 (.f64 a (*.f64 x a)))
✓	0.1b	(.f64 x (/.f64 (.f64 a (neg.f64 a)) (-.f64 (.f64 1/2 (.f64 a (*.f64 x a))) a)))
	0.2b	(.f64 a (.f64 x a))
✓	32.9b	(/.f64 (.f64 a (neg.f64 a)) (-.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))

Compiler

Compiled 65 to 21 computations (67.7% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`prod-diff_binary64`
681×	`log-prod_binary64`
250×	`fma-def_binary64`
213×	`expm1-udef_binary64`
213×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	268	37
2	4060	37

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

652×	`unswap-sqr_binary64`
390×	`associate-*l/_binary64`
357×	`fma-def_binary64`
344×	`associate-/l/_binary64`
333×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	1086
1	232	1026
2	785	1012
3	3300	984

Stop Event

1×	node limit

Counts

116 → 96

Calls

Call 1

Inputs
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 2))) (+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 3))) (+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (*.f64 a (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 4)))) (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (*.f64 a (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 4)))) (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 2))) (+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x))))
(+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 3))) (+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (*.f64 a (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 4)))) (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (*.f64 a (pow.f64 x 2))))))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 4)))) (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (*.f64 a x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (.f64 a x) (.f64 1/8 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (*.f64 a x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (.f64 a x) (.f64 1/8 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))

Outputs
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (*.f64 a a) x)))
(fma.f64 (.f64 1/2 (.f64 a a)) x a)
(fma.f64 (.f64 a a) (.f64 1/2 x) a)
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 2))) (+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x))))
(fma.f64 1/4 (.f64 (pow.f64 a 3) (.f64 x x)) (+.f64 a (.f64 1/2 (.f64 (*.f64 a a) x))))
(fma.f64 1/4 (.f64 x (.f64 x (pow.f64 a 3))) (fma.f64 (.f64 1/2 (.f64 a a)) x a))
(fma.f64 (.f64 a a) (.f64 1/2 x) (fma.f64 1/4 (.f64 x (.f64 x (pow.f64 a 3))) a))
(fma.f64 1/2 (.f64 a (.f64 a x)) (fma.f64 (pow.f64 a 3) (.f64 1/4 (.f64 x x)) a))
(+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 3))) (+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))))
(fma.f64 1/4 (.f64 (pow.f64 a 3) (.f64 x x)) (fma.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 3)) (+.f64 a (.f64 1/2 (.f64 (.f64 a a) x)))))
(fma.f64 1/4 (.f64 x (.f64 x (pow.f64 a 3))) (fma.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 3)) (fma.f64 (.f64 1/2 (*.f64 a a)) x a)))
(fma.f64 1/4 (.f64 x (.f64 x (pow.f64 a 3))) (fma.f64 1/2 (.f64 a (.f64 a x)) (fma.f64 1/8 (*.f64 (pow.f64 a 4) (pow.f64 x 3)) a)))
(fma.f64 (pow.f64 a 4) (.f64 1/8 (pow.f64 x 3)) (fma.f64 1/2 (.f64 a (.f64 a x)) (fma.f64 (pow.f64 a 3) (.f64 1/4 (*.f64 x x)) a)))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (*.f64 a (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (.f64 a (.f64 x x)))))
(+.f64 (/.f64 -4 (.f64 a (.f64 x x))) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 -4 (*.f64 x x)) a) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 -4 (*.f64 a x)) x) (/.f64 -2 x))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (.f64 (.f64 a a) (pow.f64 x 3))))))
(-.f64 (/.f64 -4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 (/.f64 8 (*.f64 a a)) (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -4 (.f64 x x)) a) (/.f64 -2 x)) (/.f64 -8 (.f64 a (*.f64 a (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 -4 (.f64 a x)) x) (/.f64 -2 x)) (/.f64 -8 (.f64 a (*.f64 a (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 4)))) (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (.f64 (.f64 a a) (pow.f64 x 3))))) (/.f64 16 (*.f64 (pow.f64 a 3) (pow.f64 x 4)))))
(+.f64 (-.f64 (/.f64 -4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 (/.f64 8 (.f64 a a)) (pow.f64 x 3)))) (/.f64 -16 (.f64 (pow.f64 a 3) (pow.f64 x 4))))
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 -4 (.f64 x x)) a) (/.f64 -2 x)) (/.f64 -8 (.f64 a (.f64 a (pow.f64 x 3))))) (/.f64 -16 (.f64 (pow.f64 a 3) (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -16 (.f64 x (pow.f64 (.f64 a x) 3))) (/.f64 8 (.f64 a (.f64 a (pow.f64 x 3))))) (+.f64 (/.f64 (/.f64 -4 (*.f64 a x)) x) (/.f64 -2 x)))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (*.f64 a (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (.f64 a (.f64 x x)))))
(+.f64 (/.f64 -4 (.f64 a (.f64 x x))) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 -4 (*.f64 x x)) a) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 -4 (*.f64 a x)) x) (/.f64 -2 x))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (.f64 (.f64 a a) (pow.f64 x 3))))))
(-.f64 (/.f64 -4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 (/.f64 8 (*.f64 a a)) (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -4 (.f64 x x)) a) (/.f64 -2 x)) (/.f64 -8 (.f64 a (*.f64 a (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 -4 (.f64 a x)) x) (/.f64 -2 x)) (/.f64 -8 (.f64 a (*.f64 a (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 4)))) (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (.f64 (.f64 a a) (pow.f64 x 3))))) (/.f64 16 (*.f64 (pow.f64 a 3) (pow.f64 x 4)))))
(+.f64 (-.f64 (/.f64 -4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 (/.f64 8 (.f64 a a)) (pow.f64 x 3)))) (/.f64 -16 (.f64 (pow.f64 a 3) (pow.f64 x 4))))
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 -4 (.f64 x x)) a) (/.f64 -2 x)) (/.f64 -8 (.f64 a (.f64 a (pow.f64 x 3))))) (/.f64 -16 (.f64 (pow.f64 a 3) (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -16 (.f64 x (pow.f64 (.f64 a x) 3))) (/.f64 8 (.f64 a (.f64 a (pow.f64 x 3))))) (+.f64 (/.f64 (/.f64 -4 (*.f64 a x)) x) (/.f64 -2 x)))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (*.f64 a a) x)))
(fma.f64 (.f64 1/2 (.f64 a a)) x a)
(fma.f64 (.f64 a a) (.f64 1/2 x) a)
(fma.f64 1/2 (.f64 a (.f64 a x)) a)
(+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 2))) (+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x))))
(fma.f64 1/4 (.f64 (pow.f64 a 3) (.f64 x x)) (+.f64 a (.f64 1/2 (.f64 (*.f64 a a) x))))
(fma.f64 1/4 (.f64 x (.f64 x (pow.f64 a 3))) (fma.f64 (.f64 1/2 (.f64 a a)) x a))
(fma.f64 (.f64 a a) (.f64 1/2 x) (fma.f64 1/4 (.f64 x (.f64 x (pow.f64 a 3))) a))
(fma.f64 1/2 (.f64 a (.f64 a x)) (fma.f64 (pow.f64 a 3) (.f64 1/4 (.f64 x x)) a))
(+.f64 (.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 3))) (+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))))
(fma.f64 1/4 (.f64 (pow.f64 a 3) (.f64 x x)) (fma.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 3)) (+.f64 a (.f64 1/2 (.f64 (.f64 a a) x)))))
(fma.f64 1/4 (.f64 x (.f64 x (pow.f64 a 3))) (fma.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 3)) (fma.f64 (.f64 1/2 (*.f64 a a)) x a)))
(fma.f64 1/4 (.f64 x (.f64 x (pow.f64 a 3))) (fma.f64 1/2 (.f64 a (.f64 a x)) (fma.f64 1/8 (*.f64 (pow.f64 a 4) (pow.f64 x 3)) a)))
(fma.f64 (pow.f64 a 4) (.f64 1/8 (pow.f64 x 3)) (fma.f64 1/2 (.f64 a (.f64 a x)) (fma.f64 (pow.f64 a 3) (.f64 1/4 (*.f64 x x)) a)))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (*.f64 a (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (.f64 a (.f64 x x)))))
(+.f64 (/.f64 -4 (.f64 a (.f64 x x))) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 -4 (*.f64 x x)) a) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 -4 (*.f64 a x)) x) (/.f64 -2 x))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (.f64 (.f64 a a) (pow.f64 x 3))))))
(-.f64 (/.f64 -4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 (/.f64 8 (*.f64 a a)) (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -4 (.f64 x x)) a) (/.f64 -2 x)) (/.f64 -8 (.f64 a (*.f64 a (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 -4 (.f64 a x)) x) (/.f64 -2 x)) (/.f64 -8 (.f64 a (*.f64 a (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 4)))) (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (.f64 (.f64 a a) (pow.f64 x 3))))) (/.f64 16 (*.f64 (pow.f64 a 3) (pow.f64 x 4)))))
(+.f64 (-.f64 (/.f64 -4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 (/.f64 8 (.f64 a a)) (pow.f64 x 3)))) (/.f64 -16 (.f64 (pow.f64 a 3) (pow.f64 x 4))))
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 -4 (.f64 x x)) a) (/.f64 -2 x)) (/.f64 -8 (.f64 a (.f64 a (pow.f64 x 3))))) (/.f64 -16 (.f64 (pow.f64 a 3) (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -16 (.f64 x (pow.f64 (.f64 a x) 3))) (/.f64 8 (.f64 a (.f64 a (pow.f64 x 3))))) (+.f64 (/.f64 (/.f64 -4 (*.f64 a x)) x) (/.f64 -2 x)))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 4 (/.f64 1 (*.f64 a (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (.f64 a (.f64 x x)))))
(+.f64 (/.f64 -4 (.f64 a (.f64 x x))) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 -4 (*.f64 x x)) a) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 -4 (*.f64 a x)) x) (/.f64 -2 x))
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (.f64 (.f64 a a) (pow.f64 x 3))))))
(-.f64 (/.f64 -4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 (/.f64 8 (*.f64 a a)) (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -4 (.f64 x x)) a) (/.f64 -2 x)) (/.f64 -8 (.f64 a (*.f64 a (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 -4 (.f64 a x)) x) (/.f64 -2 x)) (/.f64 -8 (.f64 a (*.f64 a (pow.f64 x 3)))))
(neg.f64 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 4)))) (+.f64 (.f64 4 (/.f64 1 (.f64 a (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 8 (.f64 (.f64 a a) (pow.f64 x 3))))) (/.f64 16 (*.f64 (pow.f64 a 3) (pow.f64 x 4)))))
(+.f64 (-.f64 (/.f64 -4 (.f64 a (.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 (/.f64 8 (.f64 a a)) (pow.f64 x 3)))) (/.f64 -16 (.f64 (pow.f64 a 3) (pow.f64 x 4))))
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 -4 (.f64 x x)) a) (/.f64 -2 x)) (/.f64 -8 (.f64 a (.f64 a (pow.f64 x 3))))) (/.f64 -16 (.f64 (pow.f64 a 3) (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -16 (.f64 x (pow.f64 (.f64 a x) 3))) (/.f64 8 (.f64 a (.f64 a (pow.f64 x 3))))) (+.f64 (/.f64 (/.f64 -4 (*.f64 a x)) x) (/.f64 -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 1/2 (.f64 (.f64 a a) (.f64 x x))))
(.f64 x (fma.f64 (.f64 a a) (*.f64 1/2 x) 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 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (*.f64 a x)))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (*.f64 a x)))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (.f64 1/4 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 x (fma.f64 (.f64 a a) (.f64 1/2 x) a)))
(fma.f64 1/4 (pow.f64 (.f64 a x) 3) (.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 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (.f64 a x) (.f64 1/8 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (fma.f64 a x (.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(+.f64 (.f64 x (fma.f64 (.f64 a a) (.f64 1/2 x) a)) (fma.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 4)))))
(fma.f64 1/4 (pow.f64 (.f64 a x) 3) (.f64 x (fma.f64 1/2 (.f64 a (.f64 a x)) (fma.f64 (pow.f64 a 4) (*.f64 1/8 (pow.f64 x 3)) a))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(+.f64 -2 (neg.f64 (/.f64 4 (*.f64 a x))))
(+.f64 -2 (/.f64 -4 (*.f64 a x)))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 4 (.f64 a x))) (/.f64 8 (.f64 (.f64 a a) (.f64 x x)))))
(-.f64 (+.f64 -2 (/.f64 -4 (.f64 a x))) (/.f64 (/.f64 8 (.f64 x x)) (*.f64 a a)))
(+.f64 -2 (-.f64 (/.f64 -4 (.f64 a x)) (/.f64 8 (.f64 a (.f64 a (.f64 x x))))))
(+.f64 (+.f64 -2 (/.f64 -4 (.f64 a x))) (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 8 (.f64 (.f64 a a) (.f64 x x))) 2) (+.f64 (/.f64 4 (.f64 a x)) (/.f64 16 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(-.f64 (/.f64 -8 (.f64 (.f64 a a) (.f64 x x))) (+.f64 2 (+.f64 (/.f64 4 (.f64 a x)) (/.f64 16 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(+.f64 (/.f64 -8 (.f64 a (.f64 a (*.f64 x x)))) (-.f64 -2 (+.f64 (/.f64 (/.f64 4 a) x) (/.f64 (/.f64 16 (pow.f64 x 3)) (pow.f64 a 3)))))
(+.f64 -2 (+.f64 (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))) (+.f64 (/.f64 -4 (.f64 a x)) (/.f64 -16 (pow.f64 (*.f64 a x) 3)))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(+.f64 -2 (neg.f64 (/.f64 4 (*.f64 a x))))
(+.f64 -2 (/.f64 -4 (*.f64 a x)))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 4 (.f64 a x))) (/.f64 8 (.f64 (.f64 a a) (.f64 x x)))))
(-.f64 (+.f64 -2 (/.f64 -4 (.f64 a x))) (/.f64 (/.f64 8 (.f64 x x)) (*.f64 a a)))
(+.f64 -2 (-.f64 (/.f64 -4 (.f64 a x)) (/.f64 8 (.f64 a (.f64 a (.f64 x x))))))
(+.f64 (+.f64 -2 (/.f64 -4 (.f64 a x))) (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 8 (.f64 (.f64 a a) (.f64 x x))) 2) (+.f64 (/.f64 4 (.f64 a x)) (/.f64 16 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(-.f64 (/.f64 -8 (.f64 (.f64 a a) (.f64 x x))) (+.f64 2 (+.f64 (/.f64 4 (.f64 a x)) (/.f64 16 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(+.f64 (/.f64 -8 (.f64 a (.f64 a (*.f64 x x)))) (-.f64 -2 (+.f64 (/.f64 (/.f64 4 a) x) (/.f64 (/.f64 16 (pow.f64 x 3)) (pow.f64 a 3)))))
(+.f64 -2 (+.f64 (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))) (+.f64 (/.f64 -4 (.f64 a x)) (/.f64 -16 (pow.f64 (*.f64 a x) 3)))))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(fma.f64 a x (.f64 1/2 (.f64 (.f64 a a) (.f64 x x))))
(.f64 x (fma.f64 (.f64 a a) (*.f64 1/2 x) 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 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (*.f64 a x)))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (*.f64 a x)))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (.f64 1/4 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 x (fma.f64 (.f64 a a) (.f64 1/2 x) a)))
(fma.f64 1/4 (pow.f64 (.f64 a x) 3) (.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 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3))) (+.f64 (.f64 a x) (.f64 1/8 (*.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (fma.f64 a x (.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(+.f64 (.f64 x (fma.f64 (.f64 a a) (.f64 1/2 x) a)) (fma.f64 1/4 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/8 (.f64 (pow.f64 a 4) (pow.f64 x 4)))))
(fma.f64 1/4 (pow.f64 (.f64 a x) 3) (.f64 x (fma.f64 1/2 (.f64 a (.f64 a x)) (fma.f64 (pow.f64 a 4) (*.f64 1/8 (pow.f64 x 3)) a))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(+.f64 -2 (neg.f64 (/.f64 4 (*.f64 a x))))
(+.f64 -2 (/.f64 -4 (*.f64 a x)))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 4 (.f64 a x))) (/.f64 8 (.f64 (.f64 a a) (.f64 x x)))))
(-.f64 (+.f64 -2 (/.f64 -4 (.f64 a x))) (/.f64 (/.f64 8 (.f64 x x)) (*.f64 a a)))
(+.f64 -2 (-.f64 (/.f64 -4 (.f64 a x)) (/.f64 8 (.f64 a (.f64 a (.f64 x x))))))
(+.f64 (+.f64 -2 (/.f64 -4 (.f64 a x))) (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 8 (.f64 (.f64 a a) (.f64 x x))) 2) (+.f64 (/.f64 4 (.f64 a x)) (/.f64 16 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(-.f64 (/.f64 -8 (.f64 (.f64 a a) (.f64 x x))) (+.f64 2 (+.f64 (/.f64 4 (.f64 a x)) (/.f64 16 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(+.f64 (/.f64 -8 (.f64 a (.f64 a (*.f64 x x)))) (-.f64 -2 (+.f64 (/.f64 (/.f64 4 a) x) (/.f64 (/.f64 16 (pow.f64 x 3)) (pow.f64 a 3)))))
(+.f64 -2 (+.f64 (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))) (+.f64 (/.f64 -4 (.f64 a x)) (/.f64 -16 (pow.f64 (*.f64 a x) 3)))))
-2
(neg.f64 (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x)))))
(+.f64 -2 (neg.f64 (/.f64 4 (*.f64 a x))))
(+.f64 -2 (/.f64 -4 (*.f64 a x)))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (.f64 4 (/.f64 1 (.f64 a x))))))
(neg.f64 (+.f64 (+.f64 2 (/.f64 4 (.f64 a x))) (/.f64 8 (.f64 (.f64 a a) (.f64 x x)))))
(-.f64 (+.f64 -2 (/.f64 -4 (.f64 a x))) (/.f64 (/.f64 8 (.f64 x x)) (*.f64 a a)))
(+.f64 -2 (-.f64 (/.f64 -4 (.f64 a x)) (/.f64 8 (.f64 a (.f64 a (.f64 x x))))))
(+.f64 (+.f64 -2 (/.f64 -4 (.f64 a x))) (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 x 2)))) (+.f64 2 (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 x 3)))) (.f64 4 (/.f64 1 (.f64 a x)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 8 (.f64 (.f64 a a) (.f64 x x))) 2) (+.f64 (/.f64 4 (.f64 a x)) (/.f64 16 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(-.f64 (/.f64 -8 (.f64 (.f64 a a) (.f64 x x))) (+.f64 2 (+.f64 (/.f64 4 (.f64 a x)) (/.f64 16 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(+.f64 (/.f64 -8 (.f64 a (.f64 a (*.f64 x x)))) (-.f64 -2 (+.f64 (/.f64 (/.f64 4 a) x) (/.f64 (/.f64 16 (pow.f64 x 3)) (pow.f64 a 3)))))
(+.f64 -2 (+.f64 (/.f64 -8 (.f64 a (.f64 a (.f64 x x)))) (+.f64 (/.f64 -4 (.f64 a x)) (/.f64 -16 (pow.f64 (*.f64 a x) 3)))))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 a x) x)
	0.2b	(pow.f64 (*.f64 a x) 3)
✓	2.9b	(.f64 (.f64 (*.f64 a x) x) a)
✓	15.3b	(+.f64 (.f64 1/2 (.f64 (.f64 (.f64 a x) x) a)) (.f64 1/6 (pow.f64 (.f64 a x) 3)))

Compiler

Compiled 80 to 31 computations (61.3% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(+.f64 (.f64 1/2 (.f64 (.f64 (.f64 a x) x) a)) (.f64 1/6 (pow.f64 (.f64 a x) 3)))
0.0ms	a	@	0	(.f64 (.f64 a x) x)
0.0ms	a	@	-inf	(.f64 (.f64 a x) x)
0.0ms	x	@	inf	(.f64 (.f64 a x) x)
0.0ms	a	@	0	(+.f64 (.f64 1/2 (.f64 (.f64 (.f64 a x) x) a)) (.f64 1/6 (pow.f64 (.f64 a x) 3)))

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`log-prod_binary64`
387×	`fma-def_binary64`
376×	`pow-unpow_binary64`
332×	`pow2_binary64`
230×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	289	34
2	3543	34

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

Outputs

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

simplify250.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1106×	`sqr-pow_binary64`
756×	`unswap-sqr_binary64`
658×	`pow-sqr_binary64`
604×	`cube-prod_binary64`
504×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	954
1	48	954
2	139	936
3	590	900
4	1240	900
5	2542	900
6	2629	900
7	2739	900
8	2858	900
9	3004	900
10	3221	900
11	3505	900
12	3846	900
13	4294	900
14	4861	900
15	5567	900
16	5871	900
17	6181	900
18	6467	900
19	6773	900
20	7069	900

Stop Event

1×	node limit

Counts

188 → 125

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

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

eval156.0ms (2.1%)

Compiler: Compiled 7375 to 3804 computations (48.4% saved)

prune100.0ms (1.4%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	322	5	327
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	323	11	334

Error

0.0b

Counts

334 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	52.7b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
✓	39.1b	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	0.0b	(expm1.f64 (*.f64 a x))
	59.2b	(+.f64 -2 (/.f64 -4 (*.f64 a x)))
	58.2b	(*.f64 x (/.f64 -2 x))
✓	22.5b	(*.f64 a x)
	58.2b	-2
	34.1b	(.f64 x (/.f64 (.f64 a (neg.f64 a)) (-.f64 (+.f64 0 (.f64 1/2 (.f64 x (*.f64 a a)))) a)))
✓	34.1b	(.f64 x (/.f64 (.f64 a (neg.f64 a)) (-.f64 (.f64 1/2 (.f64 a (*.f64 x a))) a)))
✓	23.1b	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
	28.1b	(fma.f64 a x (+.f64 (.f64 1/2 (.f64 (.f64 (.f64 a x) x) a)) (.f64 1/6 (.f64 (.f64 (.f64 a x) (.f64 a a)) (.f64 x x)))))

Compiler

Compiled 129 to 83 computations (35.7% saved)

regimes165.0ms (2.3%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

7 calls:

130.0ms	(*.f64 a x)
9.0ms	x
9.0ms	a
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Results

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

Compiler

Compiled 250 to 125 computations (50% saved)

regimes102.0ms (1.4%)

Counts

9 → 2

Calls

Call 1

Inputs
-2
(*.f64 a x)
(*.f64 x (/.f64 -2 x))
(+.f64 -2 (/.f64 -4 (*.f64 a x)))
(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
(.f64 x (/.f64 (.f64 a (neg.f64 a)) (-.f64 (.f64 1/2 (.f64 a (*.f64 x a))) a)))
(.f64 x (/.f64 (.f64 a (neg.f64 a)) (-.f64 (+.f64 0 (.f64 1/2 (.f64 x (*.f64 a a)))) a)))
(.f64 x (/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) (.f64 1/2 (.f64 a (.f64 x a)))) (.f64 a a)) (-.f64 (.f64 1/2 (.f64 a (.f64 x a))) a)))

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

Calls

4 calls:

44.0ms	(*.f64 a x)
12.0ms	a
10.0ms	(*.f64 a x)
6.0ms	x

Results

Error	Segments	Branch
21.5b	2	`a`
22.5b	1	`x`
18.9b	2	`(*.f64 a x)`
18.9b	2	`(*.f64 a x)`

Compiler

Compiled 119 to 59 computations (50.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.742543961287025	-0.00029619513603051874

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes32.0ms (0.4%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	a
7.0ms	(*.f64 a x)
5.0ms	x

Results

Error	Segments	Branch
21.5b	2	`a`
22.5b	1	`x`
19.2b	2	`(*.f64 a x)`

Compiler

Compiled 38 to 23 computations (39.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.742543961287025	-0.00029619513603051874

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes164.0ms (2.2%)

Accuracy

Total -42.4b remaining (-220.6%)

Threshold costs -42.4b (-220.6%)

Counts

3 → 2

Calls

Call 1

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

Outputs
-2
(*.f64 a x)

Calls

3 calls:

153.0ms	a
6.0ms	(*.f64 a x)
4.0ms	x

Results

Error	Segments	Branch
21.5b	2	`a`
22.5b	1	`x`
19.2b	2	`(*.f64 a x)`

Compiler

Compiled 22 to 14 computations (36.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.742543961287025	-0.00029619513603051874

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	79
1	27	79

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) -5) (+.f64 -2 (/.f64 -4 (.f64 a x))) (.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a)))
(if (<=.f64 (.f64 a x) -5) (+.f64 -2 (/.f64 -4 (.f64 a x))) (*.f64 a x))
(if (<=.f64 (.f64 a x) -5) -2 (.f64 a x))
-2

Outputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) -5) (+.f64 -2 (/.f64 -4 (.f64 a x))) (.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a)))
(if (<=.f64 (.f64 a x) -5) (+.f64 -2 (/.f64 -4 (.f64 a x))) (.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x))))))
(if (<=.f64 (.f64 a x) -5) (+.f64 -2 (/.f64 -4 (.f64 a x))) (*.f64 a x))
(if (<=.f64 (.f64 a x) -5) -2 (.f64 a x))
-2

Compiler

Compiled 65 to 39 computations (40% saved)

soundness87.0ms (1.2%)

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)

end73.0ms (1%)

Remove: (sort a x)
Compiler: Compiled 69 to 36 computations (47.8% saved)

Details

analyze30.0ms (0.4%)

sample1.8s (24.9%)

preprocess54.0ms (0.7%)

simplify46.0ms (0.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series3.0ms (0%)

rewrite47.0ms (0.6%)

simplify65.0ms (0.9%)

eval7.0ms (0.1%)

prune7.0ms (0.1%)

localize3.0ms (0%)

localize10.0ms (0.1%)

series9.0ms (0.1%)

rewrite63.0ms (0.9%)

simplify227.0ms (3.1%)

localize9.0ms (0.1%)

series11.0ms (0.2%)

rewrite53.0ms (0.7%)

simplify55.0ms (0.7%)

localize20.0ms (0.3%)

series17.0ms (0.2%)

rewrite79.0ms (1.1%)

simplify292.0ms (4%)

eval126.0ms (1.7%)

prune236.0ms (3.2%)

localize13.0ms (0.2%)

series6.0ms (0.1%)

rewrite66.0ms (0.9%)

simplify235.0ms (3.2%)

localize12.0ms (0.2%)

series10.0ms (0.1%)

rewrite109.0ms (1.5%)

simplify301.0ms (4.1%)

localize49.0ms (0.7%)

series22.0ms (0.3%)

rewrite158.0ms (2.2%)

simplify128.0ms (1.7%)

localize148.0ms (2%)

series2.0ms (0%)

rewrite72.0ms (1%)

simplify336.0ms (4.6%)

eval626.0ms (8.6%)

prune298.0ms (4.1%)

localize29.0ms (0.4%)

series9.0ms (0.1%)

rewrite67.0ms (0.9%)

simplify69.0ms (1%)

localize25.0ms (0.3%)

series10.0ms (0.1%)

rewrite74.0ms (1%)

simplify250.0ms (3.4%)

eval156.0ms (2.1%)

prune100.0ms (1.4%)

regimes165.0ms (2.3%)

regimes102.0ms (1.4%)

bsearch0.0ms (0%)

regimes32.0ms (0.4%)

bsearch0.0ms (0%)

regimes164.0ms (2.2%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

soundness87.0ms (1.2%)

end73.0ms (1%)

Profiling