Details

analyze131.0ms (3.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	21.9%	9.5%	7
68.7%	17.2%	14.1%	8
71.8%	11.7%	16.5%	9
71.8%	9%	19.2%	10
73.4%	6%	20.6%	11
73.4%	4.6%	22%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.9s (44.4%)

Results

699.0ms	1515×	body	2048	valid
528.0ms	1801×	body	1024	valid
357.0ms	3775×	body	256	valid
273.0ms	1165×	body	512	valid
29.0ms	324×	body	256	invalid

preprocess52.0ms (1.2%)

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)

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite38.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

Outputs

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

simplify63.0ms (1.5%)

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))

eval10.0ms (0.2%)

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

prune5.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Error

Counts

34 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	21.3b	(*.f64 a x)
▶	17.4b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 20 to 14 computations (30% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.2b	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
✓	17.5b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 25 to 10 computations (60% saved)

series8.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite58.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	164	15
2	1618	15

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

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

Outputs

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

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

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

89 → 62

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

eval33.0ms (0.8%)

Compiler: Compiled 1599 to 917 computations (42.7% saved)

prune13.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	94	4	98

Error

Counts

98 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	23.8b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
✓	21.3b	(*.f64 a x)
✓	17.4b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (.f64 (.f64 a a) (*.f64 1/2 x)))
✓	1.9b	(.f64 x (+.f64 a (.f64 (.f64 a a) (.f64 1/2 x))))
✓	6.5b	(.f64 (.f64 a a) (*.f64 1/2 x))

Compiler

Compiled 38 to 18 computations (52.6% saved)

series12.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite80.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

Outputs

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

simplify317.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

239 → 177

Calls

Call 1

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

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

eval56.0ms (1.3%)

Compiler: Compiled 2971 to 1664 computations (44% saved)

prune27.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	176	5	181

Error

Counts

181 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.7b	(+.f64 (.f64 a (.f64 (.f64 a (.f64 1/2 x)) x)) (*.f64 a x))
✓	17.4b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
▶	21.7b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	21.3b	(*.f64 a x)

Compiler

Compiled 48 to 31 computations (35.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (.f64 1/2 (.f64 a (*.f64 a x))))
✓	0.1b	(.f64 a (.f64 a x))
✓	0.2b	(.f64 1/2 (.f64 a (*.f64 a x)))
✓	1.9b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))

Compiler

Compiled 40 to 14 computations (65% saved)

series7.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite153.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 206

Calls

Call 1

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

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

simplify260.0ms (6.1%)

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

302 → 218

Calls

Call 1

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

localize127.0ms (3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 a (*.f64 1/2 x)) x)
✓	3.4b	(+.f64 (.f64 a (.f64 (.f64 a (.f64 1/2 x)) x)) (*.f64 a x))
✓	4.3b	(.f64 a (.f64 (.f64 a (.f64 1/2 x)) x))

Compiler

Compiled 45 to 24 computations (46.7% saved)

series10.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite78.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

Outputs

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

simplify367.0ms (8.6%)

Algorithm

1×	egg-herbie

Rules

1251×	`unswap-sqr_binary64`
873×	`fma-def_binary64`
757×	`sqr-pow_binary64`
372×	`*-commutative_binary64`
352×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	918
1	32	918
2	70	900
3	194	864
4	1000	864
5	2030	864
6	2365	864
7	2628	864
8	2926	864
9	3123	864
10	3327	864
11	3498	864
12	3690	864
13	3905	864
14	4135	864
15	4379	864
16	4644	864
17	4923	864
18	5223	864
19	5537	864
20	5607	864
21	7555	864
22	7874	864

Stop Event

1×	node limit

Counts

200 → 135

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

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

eval120.0ms (2.8%)

Compiler: Compiled 6041 to 2732 computations (54.8% saved)

prune52.0ms (1.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	353	0	353
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	353	5	358

Error

Counts

358 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.7b	(+.f64 (.f64 a (.f64 (.f64 a (.f64 1/2 x)) x)) (*.f64 a x))
✓	17.4b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
✓	21.7b	(.f64 x (+.f64 a (.f64 1/2 (.f64 a (.f64 a x)))))
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	21.3b	(*.f64 a x)

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes22.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 82 to 44 computations (46.3% saved)

regimes14.0ms (0.3%)

Accuracy

Total -2.9b remaining (-13.7%)

Threshold costs -2.9b (-13.7%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

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

Results

Error	Segments	Branch
21.3b	1	`a`
21.3b	1	`x`
21.3b	1	`(*.f64 a x)`

Compiler

Compiled 51 to 27 computations (47.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	6	10

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness91.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 14 to 10 computations (28.6% saved)

end17.0ms (0.4%)

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

Details

analyze131.0ms (3.1%)

sample1.9s (44.4%)

preprocess52.0ms (1.2%)

simplify47.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series3.0ms (0.1%)

rewrite38.0ms (0.9%)

simplify63.0ms (1.5%)

eval10.0ms (0.2%)

prune5.0ms (0.1%)

localize10.0ms (0.2%)

series8.0ms (0.2%)

rewrite58.0ms (1.4%)

simplify64.0ms (1.5%)

localize3.0ms (0.1%)

eval33.0ms (0.8%)

prune13.0ms (0.3%)

localize12.0ms (0.3%)

series12.0ms (0.3%)

rewrite80.0ms (1.9%)

simplify317.0ms (7.4%)

eval56.0ms (1.3%)

prune27.0ms (0.6%)

localize11.0ms (0.3%)

series7.0ms (0.2%)

rewrite153.0ms (3.6%)

simplify260.0ms (6.1%)

localize127.0ms (3%)

series10.0ms (0.2%)

rewrite78.0ms (1.8%)

simplify367.0ms (8.6%)

eval120.0ms (2.8%)

prune52.0ms (1.2%)

regimes22.0ms (0.5%)

regimes14.0ms (0.3%)

simplify3.0ms (0.1%)

soundness91.0ms (2.1%)

end17.0ms (0.4%)

Profiling