Details

analyze24.0ms (0.6%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.5s (38.2%)

Results

585.0ms	1500×	body	2048	valid
422.0ms	1781×	body	1024	valid
324.0ms	3827×	body	256	valid
167.0ms	1148×	body	512	valid
29.0ms	305×	body	256	infinite

Bogosity

preprocess46.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a x)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify39.0ms (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))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

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))
0.0ms	x	@	0	(expm1.f64 (*.f64 a x))
0.0ms	x	@	inf	(expm1.f64 (*.f64 a x))
0.0ms	a	@	-inf	(expm1.f64 (*.f64 a x))
0.0ms	a	@	inf	(expm1.f64 (*.f64 a x))

rewrite47.0ms (1.2%)

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)))))

simplify50.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

502×	`associate-l_binary64`
468×	`associate-r_binary64`
300×	`fma-def_binary64`
271×	`times-frac_binary64`
260×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	491
1	188	479
2	627	461
3	4017	452
4	7907	452

Stop Event

1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(+.f64 0 (expm1.f64 (*.f64 a 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))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))
(-.f64 (pow.f64 (exp.f64 a) x) 1)
(.f64 (expm1.f64 (.f64 a x)) 1)
(.f64 1 (expm1.f64 (.f64 a x)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a 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))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x) -1) (+.f64 (pow.f64 (exp.f64 a) x) 1))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(fma.f64 1 (pow.f64 (exp.f64 a) x) -1)
(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)
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.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 x (.f64 a a)))))
(.f64 x (+.f64 a (.f64 (.f64 x (.f64 a a)) 1/2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 (.f64 a x) (.f64 a x)) (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 1/2 (.f64 x (*.f64 a a))))))
(.f64 x (+.f64 (.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3))))) a))
(+.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 x (.f64 x (.f64 a a))) (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 (.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (+.f64 (.f64 1/6 (pow.f64 a 3)) (.f64 (.f64 1/24 (pow.f64 a 4)) x))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(fma.f64 a x (.f64 1/2 (.f64 (.f64 a x) (.f64 a x))))
(.f64 x (+.f64 a (.f64 1/2 (.f64 x (.f64 a a)))))
(.f64 x (+.f64 a (.f64 (.f64 x (.f64 a a)) 1/2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 (.f64 a x) (.f64 a x)) (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 1/2 (.f64 x (*.f64 a a))))))
(.f64 x (+.f64 (.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3))))) a))
(+.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 x (.f64 x (.f64 a a))) (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 (.f64 (.f64 x x) (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (+.f64 (.f64 1/6 (pow.f64 a 3)) (.f64 (.f64 1/24 (pow.f64 a 4)) x))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(expm1.f64 (*.f64 a x))
(+.f64 0 (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 a 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))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x)))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 a x))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (.f64 a x))))))
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 a) x) 1)
(expm1.f64 (*.f64 a x))
(.f64 (expm1.f64 (.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(.f64 1 (expm1.f64 (.f64 a x)))
(expm1.f64 (*.f64 a x))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a 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))))
(/.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 (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) x) 3)) (+.f64 (+.f64 1 (pow.f64 (exp.f64 a) x)) (pow.f64 (exp.f64 a) (*.f64 2 x))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) x) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 x 2)))))
(/.f64 (expm1.f64 (.f64 3 (.f64 a x))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (+.f64 x 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))
(expm1.f64 (*.f64 a x))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(expm1.f64 (*.f64 a x))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(expm1.f64 (*.f64 a x))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(expm1.f64 (*.f64 a x))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(expm1.f64 (*.f64 a x))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(fma.f64 1 (pow.f64 (exp.f64 a) x) -1)
(expm1.f64 (*.f64 a 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)
(expm1.f64 (*.f64 a x))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 a) x)) (sqrt.f64 (pow.f64 (exp.f64 a) x)) -1)
(expm1.f64 (*.f64 a x))

eval10.0ms (0.3%)

Compiler: Compiled 687 to 305 computations (55.6% saved)

prune12.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	6	49

Error

0.0b

Counts

49 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.6b	(fma.f64 a x (.f64 1/2 (.f64 (.f64 a x) (.f64 a x))))
▶	37.6b	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
▶	23.9b	(.f64 x (+.f64 a (.f64 (.f64 x (.f64 a a)) 1/2)))
▶	20.3b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	38.9b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 104 to 66 computations (36.5% saved)

localize3.0ms (0.1%)

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

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x (*.f64 a a)) 1/2)
✓	0.0b	(+.f64 a (.f64 (.f64 x (*.f64 a a)) 1/2))
✓	1.2b	(.f64 x (+.f64 a (.f64 (.f64 x (.f64 a a)) 1/2)))
✓	7.8b	(.f64 x (.f64 a a))

Compiler

Compiled 40 to 14 computations (65% saved)

series11.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

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

rewrite64.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

527×	`log-prod_binary64`
393×	`pow-prod-down_binary64`
375×	`exp-prod_binary64`
361×	`fma-def_binary64`
257×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	46
1	199	42
2	2810	42

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

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

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

simplify88.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

607×	`unswap-sqr_binary64`
327×	`cancel-sign-sub-inv_binary64`
280×	`log-prod_binary64`
239×	`sqr-pow_binary64`
227×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	420	4303
1	1020	3951
2	3057	3912

Stop Event

1×	node limit

Counts

280 → 259

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 (.f64 x (.f64 a (.f64 a 1/2))) (.f64 x (.f64 a (.f64 a 1/2))))
(+.f64 0 (.f64 x (.f64 a a)))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 a a)))) 1)
(pow.f64 (.f64 x (.f64 a a)) 1)
(pow.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 a a))) 3)
(pow.f64 (*.f64 a (sqrt.f64 x)) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 x (.f64 a a))))
(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)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 a a))))) (sqrt.f64 (log.f64 (.f64 x (.f64 a a)))))
(sqrt.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 a a)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 a a)))))
(cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6))
(expm1.f64 (log1p.f64 (.f64 x (.f64 a a))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 a a))))
(exp.f64 (log.f64 (.f64 x (.f64 a a))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 a a))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 a a)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 a (sqrt.f64 x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 a a))) 1) 1))
(+.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) (*.f64 x a))
(+.f64 (.f64 x a) (.f64 1/2 (pow.f64 (*.f64 x a) 2)))
(+.f64 0 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)))
(+.f64 (.f64 (.f64 x a) 1) (.f64 (.f64 1/2 (pow.f64 (*.f64 x a) 2)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x a) (.f64 a 1/2) a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x a) (.f64 a 1/2) a)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x a) (.f64 a 1/2) a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x a) (.f64 a 1/2) a)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)))) 1)
(/.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))))))
(/.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))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6) 1/8 (pow.f64 a 3)) x) (fma.f64 (.f64 x (.f64 a (.f64 a 1/2))) (fma.f64 x (.f64 a (.f64 a 1/2)) (neg.f64 a)) (.f64 a a)))
(/.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)))))
(/.f64 (.f64 x (fma.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6) 1/8 (pow.f64 a 3))) (fma.f64 (.f64 x (.f64 a (.f64 a 1/2))) (fma.f64 x (.f64 a (.f64 a 1/2)) (neg.f64 a)) (.f64 a a)))
(/.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)))))
(pow.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a))))) (sqrt.f64 (log.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)))))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (.f64 x a) (.f64 a 1/2) a)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a))))
(exp.f64 (log.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (*.f64 x a))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (*.f64 x a)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (*.f64 x a)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a))) 1) 1))
(fma.f64 x a (.f64 1/2 (pow.f64 (.f64 x a) 2)))
(fma.f64 x (.f64 x (.f64 a (.f64 a 1/2))) (.f64 x a))
(fma.f64 a x (.f64 1/2 (pow.f64 (.f64 x a) 2)))
(fma.f64 (.f64 x (.f64 a a)) (.f64 1/2 x) (.f64 x a))
(fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a))
(fma.f64 (.f64 x (.f64 a (.f64 a 1/2))) x (.f64 x a))
(fma.f64 1 (.f64 1/2 (pow.f64 (.f64 x a) 2)) (*.f64 x a))
(fma.f64 1 (.f64 x a) (.f64 1/2 (pow.f64 (*.f64 x a) 2)))
(fma.f64 (.f64 x x) (.f64 a (.f64 a 1/2)) (.f64 x a))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) a) (.f64 1/2 (pow.f64 (*.f64 x a) 2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x (.f64 a (.f64 a 1/2)))) (*.f64 x a))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) x) (.f64 1/2 (pow.f64 (*.f64 x a) 2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4)) (.f64 (cbrt.f64 (.f64 x (.f64 a (.f64 a 1/2)))) x) (*.f64 x a))
(fma.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/2 (pow.f64 (*.f64 x a) 2)))
(fma.f64 (sqrt.f64 x) (.f64 a (sqrt.f64 x)) (.f64 1/2 (pow.f64 (*.f64 x a) 2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (.f64 a (.f64 a 1/2)))) (*.f64 x a))
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) x) (.f64 1/2 (pow.f64 (*.f64 x a) 2)))
(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))
(fma.f64 (.f64 x a) 1 (.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) 1))
(fma.f64 (pow.f64 (.f64 x a) 2) 1/2 (.f64 x a))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x a)) 2) (cbrt.f64 (.f64 x a)) (.f64 1/2 (pow.f64 (.f64 x a) 2)))
(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))
(fma.f64 (sqrt.f64 (.f64 x a)) (sqrt.f64 (.f64 x a)) (.f64 1/2 (pow.f64 (.f64 x a) 2)))
(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))
(fma.f64 (.f64 x 1/2) (.f64 x (.f64 a a)) (.f64 x a))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 1/2 (pow.f64 (*.f64 x a) 2)))
(fma.f64 (.f64 x (sqrt.f64 a)) (sqrt.f64 a) (.f64 1/2 (pow.f64 (*.f64 x a) 2)))
(fma.f64 (.f64 a (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 1/2 (pow.f64 (*.f64 x a) 2)))
(fma.f64 (.f64 x (cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4))) (cbrt.f64 (.f64 x (.f64 a (.f64 a 1/2)))) (*.f64 x a))
(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))
(fma.f64 (.f64 (.f64 x (.f64 a (.f64 a 1/2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x a))
(fma.f64 (.f64 (.f64 x (.f64 a (.f64 a 1/2))) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x a))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a))) 1)
(-.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))))))
(.f64 (fma.f64 (.f64 x a) (*.f64 a 1/2) a) 1)
(.f64 1 (fma.f64 (.f64 x a) (*.f64 a 1/2) a))
(.f64 (cbrt.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x a) (*.f64 a 1/2) a)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)) 2) (cbrt.f64 (fma.f64 (.f64 x a) (*.f64 a 1/2) a)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)) (sqrt.f64 (fma.f64 (.f64 x a) (*.f64 a 1/2) a)))
(.f64 (fma.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6) 1/8 (pow.f64 a 3)) (/.f64 1 (fma.f64 (.f64 x (.f64 a (.f64 a 1/2))) (fma.f64 x (.f64 a (.f64 a 1/2)) (neg.f64 a)) (.f64 a a))))
(.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))))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (.f64 a (.f64 a 1/2))) (fma.f64 x (.f64 a (.f64 a 1/2)) (neg.f64 a)) (.f64 a a)) (fma.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6) 1/8 (pow.f64 a 3))))
(/.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))))
(/.f64 (fma.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6) 1/8 (pow.f64 a 3)) (fma.f64 (.f64 x (.f64 a (.f64 a 1/2))) (fma.f64 x (.f64 a (.f64 a 1/2)) (neg.f64 a)) (*.f64 a a)))
(/.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 a (.f64 x (.f64 a (*.f64 a 1/2)))))))
(/.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)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6) 1/8 (pow.f64 a 3))) (neg.f64 (fma.f64 (.f64 x (.f64 a (.f64 a 1/2))) (fma.f64 x (.f64 a (.f64 a 1/2)) (neg.f64 a)) (*.f64 a a))))
(/.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))))))
(/.f64 (fma.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4 (neg.f64 (.f64 a a))) (fma.f64 x (.f64 a (.f64 a 1/2)) (neg.f64 a)))
(pow.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a) 1)
(pow.f64 (pow.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)))
(pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 a (.f64 a 1/2))) (fma.f64 x (.f64 a (.f64 a 1/2)) (neg.f64 a)) (.f64 a a)) (fma.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6) 1/8 (pow.f64 a 3))) -1)
(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)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a))) 2)) (cbrt.f64 (log.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)))) (sqrt.f64 (log.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a))))
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 a)) (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 a a))))
(log.f64 (.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (.f64 x (.f64 a (.f64 a 1/2)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (.f64 x (.f64 a (.f64 a 1/2)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 a (.f64 a 1/2))))) (exp.f64 a)))
(log.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 a a)) (+.f64 1 (expm1.f64 a))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 a (.f64 a 1/2))))) (+.f64 1 (expm1.f64 a))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)))
(exp.f64 (log.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x a) (*.f64 a 1/2) a)) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 x a) (*.f64 a 1/2) a) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (.f64 x a) (*.f64 a 1/2) a))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 x a) (*.f64 a 1/2) a))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)) 1) 1))
(fma.f64 x (.f64 a (.f64 a 1/2)) a)
(fma.f64 a 1 (.f64 x (.f64 a (*.f64 a 1/2))))
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 (.f64 x (.f64 a a)) 1/2 a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 x (.f64 a (*.f64 a 1/2))) 1 a)
(fma.f64 1 a (.f64 x (.f64 a (*.f64 a 1/2))))
(fma.f64 1 (.f64 x (.f64 a (*.f64 a 1/2))) a)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4)) (.f64 (cbrt.f64 (.f64 x (.f64 a a))) 1/2) a)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 a (*.f64 a 1/2))) a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (.f64 x (.f64 a (*.f64 a 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (.f64 x (.f64 a (*.f64 a 1/2))))
(fma.f64 (cbrt.f64 (.f64 x (.f64 a (.f64 a 1/2)))) (cbrt.f64 (.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4) 1/4)) a)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4)) (cbrt.f64 (.f64 x (.f64 a (*.f64 a 1/2)))) a)
(fma.f64 (.f64 a (sqrt.f64 x)) (.f64 (*.f64 a (sqrt.f64 x)) 1/2) a)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 a (*.f64 a 1/2))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 x (.f64 a (*.f64 a 1/2))))
(fma.f64 (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 1/2)) (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 1/2)) a)
(fma.f64 (.f64 x a) (.f64 a 1/2) a)
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a 4))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)) (.f64 x (.f64 a (*.f64 a 1/2))))
(fma.f64 (.f64 1/2 x) (.f64 a a) a)
(fma.f64 (.f64 1/2 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4))) (cbrt.f64 (.f64 x (.f64 a a))) a)
(fma.f64 (.f64 1/2 (.f64 a (sqrt.f64 x))) (*.f64 a (sqrt.f64 x)) a)
(fma.f64 (.f64 1/2 (.f64 x a)) a a)
(+.f64 0 (.f64 x (.f64 a (*.f64 a 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 a a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 a a)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 a a)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 a a)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 a (*.f64 a 1/2))))) 1)
(pow.f64 (.f64 x (.f64 a (*.f64 a 1/2))) 1)
(pow.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4) 1/2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 a (*.f64 a 1/2)))) 3)
(pow.f64 (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 1/2)) 2)
(pow.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6) 1/8) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (.f64 x (.f64 a (*.f64 a 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 a (.f64 a 1/2))))) 2)) (cbrt.f64 (log.f64 (.f64 x (.f64 a (.f64 a 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 a (.f64 a 1/2)))))) (sqrt.f64 (log.f64 (.f64 x (.f64 a (.f64 a 1/2))))))
(sqrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 a a)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 a (*.f64 a 1/2))))))
(cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6) 1/8))
(expm1.f64 (log1p.f64 (.f64 x (.f64 a (*.f64 a 1/2)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 a (*.f64 a 1/2)))))
(exp.f64 (log.f64 (.f64 x (.f64 a (*.f64 a 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 a (.f64 a 1/2)))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 a (.f64 a 1/2))))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 1/2))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6) 1/8)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 a (*.f64 a 1/2)))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 a (*.f64 a 1/2)))) 3) 1/3))

Outputs
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 (pow.f64 a 2) x)
(.f64 x (.f64 a a))
(.f64 a (.f64 a x))
(*.f64 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))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x 1/2) a))
(.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 (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x 1/2) a))
(.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 (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x 1/2) a))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
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(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a) 3))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(exp.f64 (log.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x a) (*.f64 a 1/2) a)) 1))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 x a) (*.f64 a 1/2) a) 3)) 1/3))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (.f64 x a) (*.f64 a 1/2) a))) 3))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 x a) (*.f64 a 1/2) a))) 2))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)) 1) 1))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 x (.f64 a (.f64 a 1/2)) a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 a 1 (.f64 x (.f64 a (*.f64 a 1/2))))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 x (.f64 a a)) 1/2 a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 (.f64 x (.f64 a (*.f64 a 1/2))) 1 a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 1 a (.f64 x (.f64 a (*.f64 a 1/2))))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 1 (.f64 x (.f64 a (*.f64 a 1/2))) a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4)) (.f64 (cbrt.f64 (.f64 x (.f64 a a))) 1/2) a)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4)) (.f64 1/2 (cbrt.f64 (.f64 x (.f64 a a)))) a)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4)) (.f64 1/2 (cbrt.f64 (.f64 a (.f64 a x)))) a)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 a (*.f64 a 1/2))) a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (.f64 x (.f64 a (*.f64 a 1/2))))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (.f64 x (.f64 a (*.f64 a 1/2))))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 (cbrt.f64 (.f64 x (.f64 a (.f64 a 1/2)))) (cbrt.f64 (.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4) 1/4)) a)
(fma.f64 (cbrt.f64 (.f64 (.f64 a x) (.f64 a 1/2))) (cbrt.f64 (.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4) 1/4)) a)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4)) (cbrt.f64 (.f64 a (.f64 x (*.f64 a 1/2)))) a)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4)) (cbrt.f64 (.f64 x (.f64 a (*.f64 a 1/2)))) a)
(fma.f64 (cbrt.f64 (.f64 (.f64 a x) (.f64 a 1/2))) (cbrt.f64 (.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4) 1/4)) a)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4)) (cbrt.f64 (.f64 a (.f64 x (*.f64 a 1/2)))) a)
(fma.f64 (.f64 a (sqrt.f64 x)) (.f64 (*.f64 a (sqrt.f64 x)) 1/2) a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 a (*.f64 a 1/2))) a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 x (.f64 a (*.f64 a 1/2))))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 1/2)) (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 1/2)) a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 (.f64 x a) (.f64 a 1/2) a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 (.f64 a (.f64 a 1/2)) x a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a 4))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)) (.f64 x (.f64 a (*.f64 a 1/2))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a 4))) (sqrt.f64 (pow.f64 (cbrt.f64 a) 2)) (.f64 (.f64 a x) (*.f64 a 1/2)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a 4))) (fabs.f64 (cbrt.f64 a)) (.f64 a (.f64 x (*.f64 a 1/2))))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 a 4))) (cbrt.f64 a) (.f64 a (.f64 x (*.f64 a 1/2))))
(fma.f64 (.f64 1/2 x) (.f64 a a) a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 (.f64 1/2 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4))) (cbrt.f64 (.f64 x (.f64 a a))) a)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4)) (.f64 1/2 (cbrt.f64 (.f64 x (.f64 a a)))) a)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4)) (.f64 1/2 (cbrt.f64 (.f64 a (.f64 a x)))) a)
(fma.f64 (.f64 1/2 (.f64 a (sqrt.f64 x))) (*.f64 a (sqrt.f64 x)) a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(fma.f64 (.f64 1/2 (.f64 x a)) a a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 a a) (.f64 x 1/2) a)
(+.f64 0 (.f64 x (.f64 a (*.f64 a 1/2))))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 a a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 a a)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 a a))))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 a a)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 a a)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 a a)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 a a)))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 a a)))))
(.f64 (.f64 a a) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 a (*.f64 a 1/2))))) 1)
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(pow.f64 (.f64 x (.f64 a (*.f64 a 1/2))) 1)
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(pow.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4) 1/2)
(sqrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4))
(pow.f64 (cbrt.f64 (.f64 x (.f64 a (*.f64 a 1/2)))) 3)
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(pow.f64 (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 1/2)) 2)
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(pow.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6) 1/8) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6) 1/8))
(pow.f64 (exp.f64 1) (log.f64 (.f64 x (.f64 a (*.f64 a 1/2)))))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 a (.f64 a 1/2))))) 2)) (cbrt.f64 (log.f64 (.f64 x (.f64 a (.f64 a 1/2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 a x) (.f64 a 1/2)))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 a x) (.f64 a 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a (.f64 x (.f64 a 1/2))))) 2)) (cbrt.f64 (log.f64 (.f64 a (.f64 x (.f64 a 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 a (.f64 a 1/2)))))) (sqrt.f64 (log.f64 (.f64 x (.f64 a (.f64 a 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 a x) (.f64 a 1/2))))) (sqrt.f64 (log.f64 (.f64 (.f64 a x) (.f64 a 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 a (.f64 x (.f64 a 1/2)))))) (sqrt.f64 (log.f64 (.f64 a (.f64 x (.f64 a 1/2))))))
(sqrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 a a)))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 a a)))))
(.f64 (.f64 a a) (log.f64 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 a (*.f64 a 1/2))))))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6) 1/8))
(expm1.f64 (log1p.f64 (.f64 x (.f64 a (*.f64 a 1/2)))))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(log1p.f64 (expm1.f64 (.f64 x (.f64 a (*.f64 a 1/2)))))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(exp.f64 (log.f64 (.f64 x (.f64 a (*.f64 a 1/2)))))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 a (.f64 a 1/2)))) 1))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 a (.f64 a 1/2))))) 3))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 1/2))) 2))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6) 1/8)) 1/3))
(cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6) 1/8))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 a (*.f64 a 1/2)))) 1) 1))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 a (*.f64 a 1/2)))) 3) 1/3))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 10 computations (72.2% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite47.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	166	21
2	2005	21

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

669×	`distribute-rgt-in_binary64`
477×	`fma-neg_binary64`
373×	`fma-def_binary64`
307×	`cancel-sign-sub-inv_binary64`
301×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	1148
1	227	911
2	863	904
3	3830	904

Stop Event

1×	node limit

Counts

81 → 49

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	1.4b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
✓	9.4b	(log.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 22 to 6 computations (72.7% saved)

series104.0ms (2.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
41.0ms	a	@	inf	(log.f64 (expm1.f64 (*.f64 a x)))
32.0ms	x	@	-inf	(log.f64 (expm1.f64 (*.f64 a x)))
17.0ms	a	@	-inf	(log.f64 (expm1.f64 (*.f64 a x)))
11.0ms	x	@	inf	(log.f64 (expm1.f64 (*.f64 a x)))
1.0ms	a	@	0	(log.f64 (expm1.f64 (*.f64 a x)))

rewrite38.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`pow1_binary64`
486×	`add-sqr-sqrt_binary64`
467×	`add-log-exp_binary64`
467×	`log1p-expm1-u_binary64`
467×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	120	14
2	1299	14

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

634×	`fma-def_binary64`
458×	`times-frac_binary64`
330×	`unswap-sqr_binary64`
307×	`log-prod_binary64`
287×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	931
1	374	931
2	1512	911
3	5193	908

Stop Event

1×	node limit

Counts

88 → 76

Calls

Call 1

Inputs
(+.f64 (log.f64 a) (log.f64 x))
(+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (log.f64 x) (log.f64 a)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))) (+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (log.f64 x) (log.f64 a))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))) (+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3))) (pow.f64 a 3))) (+.f64 (log.f64 x) (log.f64 a)))))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(+.f64 (log.f64 x) (log.f64 a))
(+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))) (pow.f64 x 2))) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))) (pow.f64 x 2))) (+.f64 (log.f64 a) (log.f64 x)))))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (-.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 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 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
(+.f64 0 (log.f64 (expm1.f64 (*.f64 a x))))
(-.f64 (+.f64 1 (log.f64 (expm1.f64 (*.f64 a x)))) 1)
(.f64 (log.f64 (expm1.f64 (.f64 a x))) 1)
(.f64 1 (log.f64 (expm1.f64 (.f64 a x))))
(.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (-.f64 (expm1.f64 (*.f64 a x)) 1))
(exp.f64 (log.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(+.f64 1 (-.f64 (expm1.f64 (*.f64 a x)) 1))
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(-.f64 (pow.f64 (exp.f64 a) x) 1)
(.f64 (expm1.f64 (.f64 a x)) 1)
(.f64 1 (expm1.f64 (.f64 a x)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a 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))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
(pow.f64 (exp.f64 1) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))

Outputs
(+.f64 (log.f64 a) (log.f64 x))
(+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (log.f64 x) (log.f64 a)))
(fma.f64 1/2 (*.f64 a x) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 1/2 (*.f64 a x) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 a (*.f64 x 1/2) (log.f64 x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))) (+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (log.f64 x) (log.f64 a))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 (.f64 x x) 1/12)) (fma.f64 1/2 (*.f64 a x) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (fma.f64 1/2 (.f64 a x) (log.f64 x)) (fma.f64 1/2 (.f64 (.f64 x x) (.f64 (*.f64 a a) 1/12)) (log.f64 a)))
(+.f64 (log.f64 a) (fma.f64 1/2 (.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x 1/12))))) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 1/2 (.f64 a (+.f64 (.f64 a (.f64 (.f64 x x) 1/12)) x)) (log.f64 x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))) (+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3))) (pow.f64 a 3))) (+.f64 (log.f64 x) (log.f64 a)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 (.f64 x x) 1/12)) (fma.f64 1/2 (*.f64 a x) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (fma.f64 1/2 (.f64 a x) (log.f64 x)) (fma.f64 1/2 (.f64 (.f64 x x) (.f64 (*.f64 a a) 1/12)) (log.f64 a)))
(+.f64 (log.f64 a) (fma.f64 1/2 (.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x 1/12))))) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 1/2 (.f64 a (+.f64 (.f64 a (.f64 (.f64 x x) 1/12)) x)) (log.f64 x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 x) (log.f64 a))
(+.f64 (log.f64 a) (log.f64 x))
(+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (log.f64 a) (log.f64 x)))
(fma.f64 1/2 (*.f64 a x) (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 1/2 (*.f64 a x) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 a (*.f64 x 1/2) (log.f64 x)))
(+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))) (pow.f64 x 2))) (+.f64 (log.f64 a) (log.f64 x))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 (.f64 x x) 1/12)) (fma.f64 1/2 (*.f64 a x) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (fma.f64 1/2 (.f64 a x) (log.f64 x)) (fma.f64 1/2 (.f64 (.f64 x x) (.f64 (*.f64 a a) 1/12)) (log.f64 a)))
(+.f64 (log.f64 a) (fma.f64 1/2 (.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x 1/12))))) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 1/2 (.f64 a (+.f64 (.f64 a (.f64 (.f64 x x) 1/12)) x)) (log.f64 x)))
(+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 a x)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))) (pow.f64 x 2))) (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 (.f64 x x) 1/12)) (fma.f64 1/2 (*.f64 a x) (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (fma.f64 1/2 (.f64 a x) (log.f64 x)) (fma.f64 1/2 (.f64 (.f64 x x) (.f64 (*.f64 a a) 1/12)) (log.f64 a)))
(+.f64 (log.f64 a) (fma.f64 1/2 (.f64 a (+.f64 x (.f64 a (.f64 x (.f64 x 1/12))))) (log.f64 x)))
(+.f64 (log.f64 a) (fma.f64 1/2 (.f64 a (+.f64 (.f64 a (.f64 (.f64 x x) 1/12)) x)) (log.f64 x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(log.f64 (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 a) (.f64 x x))))
(.f64 x (+.f64 a (.f64 x (.f64 1/2 (.f64 a 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 (*.f64 1/6 (pow.f64 a 3)) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 a 3)) (*.f64 a x)))
(fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 a 3)) (.f64 x (+.f64 a (.f64 x (.f64 1/2 (*.f64 a a))))))
(+.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 (.f64 1/6 (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 1/6 (.f64 (pow.f64 x 3) (pow.f64 a 3)) (.f64 (pow.f64 x 4) (.f64 1/24 (pow.f64 a 4))))))
(fma.f64 a x (fma.f64 1/2 (.f64 x (.f64 x (.f64 a a))) (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 a 3)) (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 1/2 (.f64 x (.f64 x (.f64 a a))) (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 a 3)) (fma.f64 a x (.f64 (pow.f64 x 4) (.f64 1/24 (pow.f64 a 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 a) (.f64 x x))))
(.f64 x (+.f64 a (.f64 x (.f64 1/2 (.f64 a 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 (*.f64 1/6 (pow.f64 a 3)) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 a 3)) (*.f64 a x)))
(fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 a 3)) (.f64 x (+.f64 a (.f64 x (.f64 1/2 (*.f64 a a))))))
(+.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 (.f64 1/6 (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 1/6 (.f64 (pow.f64 x 3) (pow.f64 a 3)) (.f64 (pow.f64 x 4) (.f64 1/24 (pow.f64 a 4))))))
(fma.f64 a x (fma.f64 1/2 (.f64 x (.f64 x (.f64 a a))) (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 a 3)) (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(fma.f64 1/2 (.f64 x (.f64 x (.f64 a a))) (fma.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 a 3)) (fma.f64 a x (.f64 (pow.f64 x 4) (.f64 1/24 (pow.f64 a 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 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (log.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(+.f64 0 (log.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (+.f64 1 (log.f64 (expm1.f64 (*.f64 a x)))) 1)
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 (log.f64 (expm1.f64 (.f64 a x))) 1)
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 1 (log.f64 (expm1.f64 (.f64 a x))))
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2))
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 1)
(log.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 3) 1/3)
(log.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 3)
(log.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))) 2)
(log.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 2))
(log.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 a x))) 3))
(log.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(log1p.f64 (-.f64 (expm1.f64 (*.f64 a x)) 1))
(log.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (expm1.f64 (*.f64 a x)))
(+.f64 1 (-.f64 (expm1.f64 (*.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 a) x) 1)
(expm1.f64 (*.f64 a x))
(.f64 (expm1.f64 (.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(.f64 1 (expm1.f64 (.f64 a x)))
(expm1.f64 (*.f64 a x))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a 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))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) -1) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 a) x) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 x 2)))))
(/.f64 (expm1.f64 (.f64 3 (.f64 a x))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 x 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))
(expm1.f64 (*.f64 a x))
(pow.f64 (expm1.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(expm1.f64 (*.f64 a x))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(expm1.f64 (*.f64 a x))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
(expm1.f64 (*.f64 a x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
(pow.f64 (exp.f64 1) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(expm1.f64 (*.f64 a x))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.1b	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	9.3b	(sqrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series9.0ms (0.2%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
1.0ms	a	@	0	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
1.0ms	a	@	0	(sqrt.f64 (expm1.f64 (*.f64 a x)))
1.0ms	x	@	0	(sqrt.f64 (expm1.f64 (*.f64 a x)))
0.0ms	a	@	-inf	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)

rewrite47.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify36.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

701×	`times-frac_binary64`
491×	`fma-def_binary64`
484×	`distribute-rgt-in_binary64`
463×	`distribute-lft-in_binary64`
399×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	526
1	183	526
2	653	526
3	3208	521

Stop Event

1×	node limit

Counts

71 → 46

Calls

Call 1

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

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

eval187.0ms (4.7%)

Compiler: Compiled 8690 to 4296 computations (50.6% saved)

prune97.0ms (2.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	522	4	526
Fresh	0	0	0
Picked	0	1	1
Done	2	3	5
Total	524	8	532

Error

0.0b

Counts

532 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.8b	(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 2) 2)
✓	37.6b	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
▶	20.6b	(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))
▶	51.6b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
▶	20.6b	(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
✓	20.3b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	38.9b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 76 to 53 computations (30.3% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (fma.f64 a (.f64 x 1/2) 1))
✓	1.7b	(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite47.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`pow1_binary64`
745×	`add-log-exp_binary64`
745×	`log1p-expm1-u_binary64`
745×	`expm1-log1p-u_binary64`
729×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	175	25
2	2010	25

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

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

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

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

504×	`log-prod_binary64`
393×	`unswap-sqr_binary64`
367×	`associate-*l/_binary64`
351×	`associate-*r/_binary64`
317×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	1026
1	217	927
2	869	927
3	4085	927

Stop Event

1×	node limit

Counts

78 → 51

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

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 a (.f64 x (*.f64 a 1/2)))
✓	5.7b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite46.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify41.0ms (1%)

Algorithm

1×	egg-herbie

Rules

661×	`log-prod_binary64`
642×	`distribute-rgt-in_binary64`
603×	`distribute-lft-in_binary64`
517×	`fma-def_binary64`
419×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	851
1	195	851
2	773	851
3	2968	851

Stop Event

1×	node limit

Counts

74 → 34

Calls

Call 1

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

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

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 a (*.f64 a x)) 1/2)
✓	0.0b	(+.f64 a (.f64 (.f64 a (*.f64 a x)) 1/2))
✓	0.1b	(.f64 a (.f64 a x))
✓	1.2b	(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))

Compiler

Compiled 40 to 14 computations (65% saved)

series8.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite66.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

549×	`log-prod_binary64`
407×	`pow-prod-down_binary64`
383×	`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	2749	42

Stop Event

1×	node limit

Counts

4 → 203

Calls

Call 1

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

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

simplify89.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

602×	`unswap-sqr_binary64`
361×	`cancel-sign-sub-inv_binary64`
310×	`log-prod_binary64`
250×	`distribute-rgt-neg-in_binary64`
243×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	4648
1	1075	4244
2	3115	4207

Stop Event

1×	node limit

Counts

299 → 272

Calls

Call 1

Inputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
(*.f64 (pow.f64 a 2) x)
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(+.f64 (.f64 x a) (.f64 1/2 (pow.f64 (*.f64 x a) 2)))
(+.f64 (.f64 x a) (.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) 1))
(+.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) (*.f64 x a))
(+.f64 0 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 a (.f64 x (.f64 a 1/2)) a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 a (.f64 x (.f64 a 1/2)) a)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 a (.f64 x (.f64 a 1/2)) a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 a (.f64 x (.f64 a 1/2)) a)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)))) 1)
(/.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))))))
(/.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))))
(/.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 a (.f64 x (.f64 a 1/2))) (fma.f64 a (.f64 x (.f64 a 1/2)) (neg.f64 a)))))
(/.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)))))
(/.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 a (.f64 x (.f64 a 1/2))) (fma.f64 a (.f64 x (.f64 a 1/2)) (neg.f64 a)))))
(/.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)))))
(pow.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a))))) (sqrt.f64 (log.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)))))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a)) 2))
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(cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6) 1/8))
(expm1.f64 (log1p.f64 (.f64 a (.f64 x (*.f64 a 1/2)))))
(log1p.f64 (expm1.f64 (.f64 a (.f64 x (*.f64 a 1/2)))))
(exp.f64 (log.f64 (.f64 a (.f64 x (*.f64 a 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 a (.f64 x (.f64 a 1/2)))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a (.f64 x (.f64 a 1/2))))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 1/2))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6) 1/8)) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 a (.f64 x (*.f64 a 1/2)))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 a (.f64 x (*.f64 a 1/2)))) 3) 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 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 (.f64 1/2 (.f64 a a)) (.f64 x x))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 (.f64 1/2 (.f64 a a)) (.f64 x x))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 (.f64 1/2 (.f64 a a)) (.f64 x x))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 (.f64 1/2 (.f64 a a)) (.f64 x x))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(*.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)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
a
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(+.f64 a (.f64 1/2 (.f64 (pow.f64 a 2) x)))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(.f64 1/2 (.f64 (pow.f64 a 2) x))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(+.f64 (.f64 x a) (.f64 1/2 (pow.f64 (*.f64 x a) 2)))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
(+.f64 (.f64 x a) (.f64 (.f64 1/2 (pow.f64 (.f64 x a) 2)) 1))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 x (fma.f64 a (.f64 x (*.f64 a 1/2)) a))
(.f64 x (fma.f64 (.f64 a x) (*.f64 a 1/2) a))
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(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
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(fma.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4)) (cbrt.f64 (.f64 (.f64 a x) (*.f64 a 1/2))) a)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4)) (cbrt.f64 (.f64 a (.f64 x (*.f64 a 1/2)))) a)
(fma.f64 (cbrt.f64 (.f64 (.f64 a x) (.f64 a 1/2))) (cbrt.f64 (.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 4) 1/4)) a)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4)) (cbrt.f64 (.f64 (.f64 a x) (*.f64 a 1/2))) a)
(fma.f64 (.f64 a (sqrt.f64 x)) (.f64 (*.f64 a (sqrt.f64 x)) 1/2) a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (.f64 a (.f64 x (*.f64 a 1/2))))
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (.f64 x (*.f64 a 1/2))) a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 1/2)) (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 1/2)) a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 x (.f64 a 1/2)) a a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 1/2 a) (.f64 x a) a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 1/2 (.f64 a a)) x a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(fma.f64 (.f64 1/2 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4))) (cbrt.f64 (.f64 x (.f64 a a))) a)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4)) (.f64 1/2 (cbrt.f64 (.f64 x (.f64 a a)))) a)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4)) (.f64 1/2 (cbrt.f64 (.f64 a (.f64 a x)))) a)
(fma.f64 (.f64 1/2 (.f64 a (sqrt.f64 x))) (*.f64 a (sqrt.f64 x)) a)
(fma.f64 1/2 (.f64 x (.f64 a a)) a)
(fma.f64 a (.f64 x (.f64 a 1/2)) a)
(fma.f64 (.f64 a x) (.f64 a 1/2) a)
(+.f64 0 (.f64 a (.f64 x (*.f64 a 1/2))))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) a)) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) a))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) a)))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) a))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) a))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) a))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) a))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) a))))
(*.f64 a (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a))))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 x (*.f64 a 1/2))))) 1)
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(pow.f64 (.f64 a (.f64 x (*.f64 a 1/2))) 1)
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(pow.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4) 1/2)
(sqrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4))
(pow.f64 (cbrt.f64 (.f64 a (.f64 x (*.f64 a 1/2)))) 3)
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(pow.f64 (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 1/2)) 2)
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(pow.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6) 1/8) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6) 1/8))
(pow.f64 (exp.f64 1) (log.f64 (.f64 a (.f64 x (*.f64 a 1/2)))))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a (.f64 x (.f64 a 1/2))))) 2)) (cbrt.f64 (log.f64 (.f64 a (.f64 x (.f64 a 1/2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 a x) (.f64 a 1/2)))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 a x) (.f64 a 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 a (.f64 x (.f64 a 1/2)))))) (sqrt.f64 (log.f64 (.f64 a (.f64 x (.f64 a 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 a x) (.f64 a 1/2))))) (sqrt.f64 (log.f64 (.f64 (.f64 a x) (.f64 a 1/2)))))
(sqrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 4) 1/4))
(log.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) a))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) a))))
(*.f64 a (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 x (*.f64 a 1/2))))))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6) 1/8))
(expm1.f64 (log1p.f64 (.f64 a (.f64 x (*.f64 a 1/2)))))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(log1p.f64 (expm1.f64 (.f64 a (.f64 x (*.f64 a 1/2)))))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(exp.f64 (log.f64 (.f64 a (.f64 x (*.f64 a 1/2)))))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(exp.f64 (.f64 (log.f64 (.f64 a (.f64 x (.f64 a 1/2)))) 1))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a (.f64 x (.f64 a 1/2))))) 3))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 1/2))) 2))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 a (sqrt.f64 x)) 6) 1/8)) 1/3))
(cbrt.f64 (.f64 (pow.f64 (.f64 a (sqrt.f64 x)) 6) 1/8))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 a (.f64 x (*.f64 a 1/2)))) 1) 1))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 a (.f64 x (*.f64 a 1/2)))) 3) 1/3))
(.f64 1/2 (.f64 x (*.f64 a a)))
(.f64 a (.f64 x (*.f64 a 1/2)))
(.f64 (.f64 a x) (*.f64 a 1/2))

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.1b	(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 2) 2)
✓	0.2b	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 2)
✓	9.3b	(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)

Compiler

Compiled 37 to 18 computations (51.4% saved)

series17.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Expression
3.0ms	a	@	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 2)
2.0ms	a	@	(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 2) 2)
2.0ms	x	@	(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 2) 2)
1.0ms	x	@	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 2)
1.0ms	a	@	(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)

rewrite52.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`pow1_binary64`
691×	`add-log-exp_binary64`
691×	`log1p-expm1-u_binary64`
691×	`expm1-log1p-u_binary64`
671×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	212	23
2	2268	23

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

Inputs
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 2)
(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 2) 2)

Outputs

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

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

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

simplify68.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

866×	`distribute-rgt-in_binary64`
853×	`distribute-lft-in_binary64`
491×	`associate-+l+_binary64`
371×	`associate-r_binary64`
328×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	3547
1	979	3301
2	3568	2329

Stop Event

1×	node limit

Counts

130 → 144

Calls

Call 1

Inputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2)))))))
(+.f64 (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (.f64 (+.f64 (.f64 1/64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (.f64 1/3072 (pow.f64 x 3)))) (.f64 (pow.f64 a 3) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (*.f64 1/128 (pow.f64 x 2))))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 a x))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 a x))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/64 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 1/3072 (pow.f64 a 3)))) (pow.f64 x 3))) (+.f64 (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 a x))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (*.f64 1/128 (pow.f64 a 2))) (pow.f64 x 2))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2)
(+.f64 (.f64 1/4 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a x))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a x))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2)))
(+.f64 (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/24 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 3)))) (+.f64 (.f64 1/64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (.f64 1/3072 (pow.f64 x 3)))))) (.f64 1/4 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))) x)))) (pow.f64 a 3)) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a x))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 1/4 (.f64 a (.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/4 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 1/64 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))))
(+.f64 (.f64 (+.f64 (.f64 1/4 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (.f64 a (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (.f64 2 (.f64 (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/64 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 1/3072 (pow.f64 a 3)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (pow.f64 x 3)) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/4 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 1/64 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 2 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(sqrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4) (.f64 1/2 (.f64 a (.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4) x))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/16 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 x 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))))) (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))))))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4) (.f64 1/2 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4) x)))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/16 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 x 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))))) (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))))))) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (.f64 1/3072 (pow.f64 x 3)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 1/4 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))) x)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 x (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))))) (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))))))))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4) (.f64 1/2 (.f64 a (.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4) x))))))
(-.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)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4)
(+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4) (.f64 a x))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4))
(+.f64 (.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4) (pow.f64 a 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))))))) (pow.f64 x 2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4) (.f64 a x))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4)))
(+.f64 (.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4) (pow.f64 a 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))))))) (pow.f64 x 2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4) (.f64 a x))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a (+.f64 (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))))))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/64 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 1/3072 (pow.f64 a 3)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))) (.f64 1/4 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) a))))))) (pow.f64 x 3)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)) 1)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) (pow.f64 (expm1.f64 (*.f64 a x)) 1/8))
(.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (pow.f64 1 1/4) (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) 1/4) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/4))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/4) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/4))
(sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(fabs.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(exp.f64 (.f64 1/4 (log.f64 (expm1.f64 (.f64 a x)))))
(-.f64 (+.f64 1 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1)
(.f64 1 (sqrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (expm1.f64 (.f64 a x)) 1/8)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/8))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2))) (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) 1/2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/2))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(fabs.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(-.f64 (pow.f64 (exp.f64 a) x) 1)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (expm1.f64 (.f64 a x)) 1)
(.f64 1 (expm1.f64 (.f64 a x)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) 4) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)) 4))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) 4) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/8) 4))
(.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(/.f64 (-.f64 (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))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Outputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x)))
(*.f64 (pow.f64 a 1/4) (pow.f64 x 1/4))
(+.f64 (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 1/8 (.f64 a (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))
(.f64 (+.f64 (.f64 1/8 (.f64 a x)) 1) (.f64 (pow.f64 a 1/4) (pow.f64 x 1/4)))
(+.f64 (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2)))))))
(+.f64 (fma.f64 1/8 (.f64 a (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/8 (.f64 (.f64 x x) 1/12) (.f64 (*.f64 x x) 1/128)))))
(fma.f64 1/8 (.f64 a (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (.f64 x x) 1/128 (.f64 (*.f64 x x) 1/96))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 (pow.f64 a 1/4) (pow.f64 x 1/4)) (.f64 (.f64 (pow.f64 a 1/4) (pow.f64 x 1/4)) (+.f64 (.f64 1/8 (.f64 a x)) (.f64 (.f64 a a) (.f64 (*.f64 x x) 7/384)))))
(+.f64 (.f64 1/8 (.f64 a (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (.f64 (+.f64 (.f64 1/64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (.f64 1/3072 (pow.f64 x 3)))) (.f64 (pow.f64 a 3) (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (*.f64 1/128 (pow.f64 x 2))))))))
(fma.f64 1/8 (.f64 a (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (fma.f64 1/64 (.f64 x (.f64 (.f64 x x) 1/12)) (fma.f64 1/24 (.f64 (pow.f64 x 3) 0) (.f64 (pow.f64 x 3) 1/3072))) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (pow.f64 a 3)) (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/8 (.f64 (.f64 x x) 1/12) (.f64 (*.f64 x x) 1/128)))))))
(fma.f64 1/8 (.f64 a (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))) (+.f64 (.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (.f64 x x) 1/128 (.f64 (.f64 x x) 1/96)))) (.f64 (+.f64 (.f64 (fma.f64 1/64 (*.f64 (pow.f64 x 3) 1/12) (fma.f64 (pow.f64 x 3) 1/3072 0)) (pow.f64 a 3)) 1) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 1/8 (.f64 a (.f64 x (.f64 (pow.f64 a 1/4) (pow.f64 x 1/4)))) (.f64 (.f64 (pow.f64 a 1/4) (pow.f64 x 1/4)) (+.f64 (.f64 (.f64 a a) (.f64 (.f64 x x) 7/384)) (+.f64 (.f64 (fma.f64 1/64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 3) 1/3072)) (pow.f64 a 3)) 1))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x)))
(*.f64 (pow.f64 a 1/4) (pow.f64 x 1/4))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 a x))))
(fma.f64 1/8 (.f64 a (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))))
(.f64 (+.f64 (.f64 1/8 (.f64 a x)) 1) (.f64 (pow.f64 a 1/4) (pow.f64 x 1/4)))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 a x))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 x 2)))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/8 (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 a x)) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 1/8 (.f64 (.f64 a a) 1/12) (.f64 (*.f64 a a) 1/128))))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96))) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 a x) 1/8))))
(+.f64 (.f64 (pow.f64 a 1/4) (pow.f64 x 1/4)) (.f64 (.f64 (pow.f64 a 1/4) (pow.f64 x 1/4)) (+.f64 (.f64 1/8 (.f64 a x)) (.f64 (.f64 x x) (.f64 (*.f64 a a) 7/384)))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/64 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 1/3072 (pow.f64 a 3)))) (pow.f64 x 3))) (+.f64 (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 a x))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (*.f64 1/128 (pow.f64 a 2))) (pow.f64 x 2))))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (pow.f64 x 3) (fma.f64 1/24 (.f64 (pow.f64 a 3) 0) (fma.f64 1/64 (.f64 a (.f64 (.f64 a a) 1/12)) (.f64 1/3072 (pow.f64 a 3))))) (fma.f64 1/8 (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 a x)) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 1/8 (.f64 (.f64 a a) 1/12) (.f64 (*.f64 a a) 1/128)))))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96))) (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 a x) 1/8))) (.f64 (+.f64 (+.f64 0 (.f64 (fma.f64 1/64 (.f64 (pow.f64 a 3) 1/12) (.f64 1/3072 (pow.f64 a 3))) (pow.f64 x 3))) 1) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 (.f64 (pow.f64 a 1/4) (pow.f64 x 1/4)) (+.f64 (.f64 1/8 (.f64 a x)) (.f64 (.f64 x x) (.f64 (.f64 a a) 7/384)))) (.f64 (+.f64 (.f64 (pow.f64 x 3) (fma.f64 1/64 (.f64 (pow.f64 a 3) 1/12) (.f64 1/3072 (pow.f64 a 3)))) 1) (*.f64 (pow.f64 a 1/4) (pow.f64 x 1/4))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/4)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)
(*.f64 (sqrt.f64 x) (sqrt.f64 a))
(+.f64 (.f64 1/4 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a x))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))
(fma.f64 1/4 (.f64 a (.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2))
(.f64 (+.f64 (.f64 1/4 (.f64 a x)) 1) (.f64 (sqrt.f64 x) (sqrt.f64 a)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a x))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2)))
(fma.f64 (.f64 a a) (fma.f64 2 (.f64 (fma.f64 1/8 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/128)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 1/64 (.f64 (.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)))) (fma.f64 1/4 (.f64 a (*.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)))
(fma.f64 (.f64 a a) (fma.f64 2 (.f64 (fma.f64 (.f64 x x) 1/128 (.f64 (.f64 x x) 1/96)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 1/64 (.f64 x (.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2))))) (fma.f64 1/4 (.f64 a (.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)))
(fma.f64 (.f64 a a) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 a)) (+.f64 (.f64 2 (.f64 (.f64 x x) 7/384)) (.f64 1/64 (.f64 x x)))) (.f64 (+.f64 (.f64 1/4 (.f64 a x)) 1) (.f64 (sqrt.f64 x) (sqrt.f64 a))))
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(sqrt.f64 (expm1.f64 (*.f64 a x)))
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(sqrt.f64 (expm1.f64 (*.f64 a x)))
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(sqrt.f64 (expm1.f64 (*.f64 a x)))
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(sqrt.f64 (expm1.f64 (*.f64 a x)))
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(.f64 (+.f64 (.f64 1/4 (.f64 a x)) 1) (.f64 (sqrt.f64 x) (sqrt.f64 a)))
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(sqrt.f64 (expm1.f64 (*.f64 a x)))
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(sqrt.f64 (expm1.f64 (*.f64 a x)))
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(*.f64 a x)
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(.f64 (+.f64 (.f64 (.f64 a 1/2) x) 1) (.f64 a x))
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(fma.f64 (.f64 a a) (fma.f64 2 (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 a)) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 a)) (+.f64 (.f64 2 (.f64 (.f64 x x) 7/384)) (.f64 1/64 (.f64 x x))))) (.f64 (.f64 x x) (.f64 1/16 (.f64 a x)))) (.f64 (+.f64 (.f64 (.f64 a 1/2) x) 1) (.f64 a x)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/16 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4) (pow.f64 x 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))))) (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))))))) (+.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (.f64 1/3072 (pow.f64 x 3)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 1/4 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))) x)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (.f64 x (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/128 (pow.f64 x 2))))) (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))))))))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4) (.f64 1/2 (.f64 a (.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4) x))))))
(fma.f64 (.f64 a a) (fma.f64 1/16 (.f64 (.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)) (.f64 (.f64 2 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (fma.f64 2 (.f64 (fma.f64 1/8 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/128)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 1/64 (.f64 (.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)))))) (fma.f64 (pow.f64 a 3) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 2 (.f64 (fma.f64 1/64 (.f64 x (.f64 (.f64 x x) 1/12)) (fma.f64 1/24 (.f64 (pow.f64 x 3) 0) (.f64 (pow.f64 x 3) 1/3072))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 1/4 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2) (.f64 x (fma.f64 1/8 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/128))))))) (.f64 1/2 (.f64 (.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (fma.f64 2 (.f64 (fma.f64 1/8 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/128)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 1/64 (.f64 (.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2))))))) (+.f64 (.f64 1/2 (.f64 (*.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)) x)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4))))
(fma.f64 (.f64 a a) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 2 (.f64 (fma.f64 (.f64 x x) 1/128 (.f64 (.f64 x x) 1/96)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 1/64 (.f64 x (.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)))))) (.f64 (.f64 x x) (.f64 1/16 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)))) (fma.f64 (pow.f64 a 3) (fma.f64 1/2 (.f64 x (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2) (fma.f64 2 (.f64 (fma.f64 (.f64 x x) 1/128 (.f64 (.f64 x x) 1/96)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 1/64 (.f64 x (.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2))))))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2) (.f64 2 (fma.f64 1/4 (.f64 (fma.f64 (.f64 x x) 1/128 (.f64 (.f64 x x) 1/96)) (.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2))) (.f64 2 (.f64 (fma.f64 1/64 (.f64 (pow.f64 x 3) 1/12) (fma.f64 (pow.f64 x 3) 1/3072 0)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2))))))) (fma.f64 1/2 (.f64 (*.f64 a x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4))))
(fma.f64 (.f64 a a) (fma.f64 2 (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 a)) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 a)) (+.f64 (.f64 2 (.f64 (.f64 x x) 7/384)) (.f64 1/64 (.f64 x x))))) (.f64 (.f64 x x) (.f64 1/16 (.f64 a x)))) (fma.f64 (pow.f64 a 3) (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 a)) (+.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 a)) (+.f64 (.f64 2 (fma.f64 1/64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 3) 1/3072))) (.f64 1/4 (.f64 x (.f64 (.f64 x x) 7/384)))))) (.f64 1/2 (.f64 x (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 a)) (+.f64 (.f64 2 (.f64 (.f64 x x) 7/384)) (.f64 1/64 (.f64 x x)))))))) (.f64 (+.f64 (.f64 (.f64 a 1/2) x) 1) (*.f64 a x))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4) (.f64 a x))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4))
(+.f64 (.f64 1/2 (.f64 (*.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)) x)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4))
(fma.f64 1/2 (.f64 (.f64 a x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4))
(.f64 (+.f64 (.f64 (.f64 a 1/2) x) 1) (.f64 a x))
(+.f64 (.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4) (pow.f64 a 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))))))) (pow.f64 x 2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4) (.f64 a x))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4)))
(fma.f64 (fma.f64 1/16 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)) (.f64 (.f64 2 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (fma.f64 1/64 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 (.f64 2 (fma.f64 1/8 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/128))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2))))) (.f64 x x) (fma.f64 1/2 (.f64 (*.f64 a x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)))
(fma.f64 (.f64 x x) (fma.f64 2 (+.f64 (.f64 1/64 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4))) (.f64 (.f64 2 (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4))) (.f64 (.f64 a a) (.f64 1/16 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)))) (fma.f64 1/2 (.f64 (.f64 a x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)))
(fma.f64 (.f64 x x) (fma.f64 2 (.f64 (.f64 a x) (+.f64 (.f64 (.f64 a a) 1/64) (.f64 2 (.f64 (.f64 a a) 7/384)))) (.f64 (.f64 a a) (.f64 1/16 (.f64 a x)))) (.f64 (+.f64 (.f64 (.f64 a 1/2) x) 1) (.f64 a x)))
(+.f64 (.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4) (pow.f64 a 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))))))) (pow.f64 x 2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4) (.f64 a x))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 a (+.f64 (.f64 1/64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (pow.f64 a 2))) (.f64 2 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))))))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/24 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/64 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 1/3072 (pow.f64 a 3)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))) (.f64 1/4 (.f64 (+.f64 (.f64 1/8 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/128 (pow.f64 a 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) a))))))) (pow.f64 x 3)) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4))))
(fma.f64 (fma.f64 1/16 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)) (.f64 (.f64 2 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (fma.f64 1/64 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 (.f64 2 (fma.f64 1/8 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/128))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2))))) (.f64 x x) (fma.f64 1/2 (.f64 (.f64 a x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)) (fma.f64 (fma.f64 1/2 (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (fma.f64 1/64 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 (.f64 2 (fma.f64 1/8 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/128))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)))) (.f64 (.f64 2 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (fma.f64 2 (.f64 (fma.f64 1/24 (.f64 (pow.f64 a 3) 0) (fma.f64 1/64 (.f64 a (.f64 (.f64 a a) 1/12)) (.f64 1/3072 (pow.f64 a 3)))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 1/4 (.f64 (.f64 (fma.f64 1/8 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/128)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) a))))) (pow.f64 x 3) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4))))
(fma.f64 (.f64 x x) (fma.f64 2 (+.f64 (.f64 1/64 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4))) (.f64 (.f64 2 (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4))) (.f64 (.f64 a a) (.f64 1/16 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)))) (fma.f64 1/2 (.f64 (.f64 a x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)) (fma.f64 (pow.f64 x 3) (fma.f64 2 (+.f64 (.f64 (+.f64 0 (.f64 (fma.f64 1/64 (.f64 (pow.f64 a 3) 1/12) (.f64 1/3072 (pow.f64 a 3))) 2)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)) (.f64 (.f64 1/4 (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96))) (.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4)))) (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2)) (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 2) (+.f64 (.f64 (.f64 a a) 1/64) (.f64 2 (fma.f64 (.f64 a a) 1/128 (.f64 (.f64 a a) 1/96))))) 1/2))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 a) (log.f64 x))) 4))))
(fma.f64 (.f64 x x) (fma.f64 2 (.f64 (.f64 a x) (+.f64 (.f64 (.f64 a a) 1/64) (.f64 2 (.f64 (.f64 a a) 7/384)))) (.f64 (.f64 a a) (.f64 1/16 (.f64 a x)))) (fma.f64 1/2 (.f64 a (.f64 x (.f64 a x))) (fma.f64 (pow.f64 x 3) (fma.f64 2 (+.f64 (.f64 (.f64 2 (fma.f64 1/64 (.f64 (pow.f64 a 3) 1/12) (.f64 1/3072 (pow.f64 a 3)))) (.f64 a x)) (.f64 (.f64 1/4 (.f64 (.f64 a a) 7/384)) (.f64 a (.f64 a x)))) (.f64 1/2 (.f64 a (.f64 (.f64 a x) (+.f64 (.f64 (.f64 a a) 1/64) (.f64 2 (.f64 (.f64 a a) 7/384))))))) (.f64 a x))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) (pow.f64 (expm1.f64 (*.f64 a x)) 1/8))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (pow.f64 1 1/4) (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) 1/4) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/4))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/4) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/4))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(fabs.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(exp.f64 (.f64 1/4 (log.f64 (expm1.f64 (.f64 a x)))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/4)
(-.f64 (+.f64 1 (sqrt.f64 (expm1.f64 (*.f64 a x)))) 1)
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1)
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 1 (sqrt.f64 (expm1.f64 (.f64 a x))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (expm1.f64 (.f64 a x)) 1/8)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/8))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2))) (sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (expm1.f64 (.f64 a x))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) 1/2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(fabs.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 3))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 a) x) 1)
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(.f64 (expm1.f64 (.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(.f64 1 (expm1.f64 (.f64 a x)))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4) (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) 4) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)) 4))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) 4) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/8) 4))
(expm1.f64 (*.f64 a x))
(.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(/.f64 (-.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))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) -1) (+.f64 (pow.f64 (exp.f64 a) (*.f64 2 x)) (+.f64 1 (pow.f64 (exp.f64 a) x))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (*.f64 x 2)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (.f64 a x)) 3)) (+.f64 1 (+.f64 (exp.f64 (.f64 a x)) (pow.f64 (exp.f64 a) (*.f64 x 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))
(expm1.f64 (*.f64 a x))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(expm1.f64 (*.f64 a x))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))

eval236.0ms (5.9%)

Compiler: Compiled 13113 to 7250 computations (44.7% saved)

prune122.0ms (3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	548	1	549
Fresh	0	0	0
Picked	0	1	1
Done	2	5	7
Total	550	7	557

Error

0.0b

Counts

557 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	37.8b	(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 2) 2)
✓	37.6b	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	51.6b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
▶	20.6b	(.f64 a (+.f64 (.f64 (.f64 a (.f64 x 1/2)) x) x))
✓	20.3b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	38.9b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 64 to 45 computations (29.7% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 a (*.f64 x 1/2)) x) x)
✓	0.1b	(.f64 (.f64 a (*.f64 x 1/2)) x)
✓	1.7b	(.f64 a (+.f64 (.f64 (.f64 a (.f64 x 1/2)) x) x))

Compiler

Compiled 40 to 23 computations (42.5% saved)

series8.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 a (+.f64 (.f64 (.f64 a (.f64 x 1/2)) x) x))
1.0ms	a	@	0	(.f64 a (+.f64 (.f64 (.f64 a (.f64 x 1/2)) x) x))
1.0ms	a	@	-inf	(.f64 a (+.f64 (.f64 (.f64 a (.f64 x 1/2)) x) x))
1.0ms	a	@	inf	(.f64 a (+.f64 (.f64 (.f64 a (.f64 x 1/2)) x) x))
0.0ms	x	@	-inf	(.f64 a (+.f64 (.f64 (.f64 a (.f64 x 1/2)) x) x))

rewrite68.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`log-prod_binary64`
424×	`pow-prod-down_binary64`
413×	`fma-def_binary64`
399×	`exp-prod_binary64`
267×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	202	35
2	2877	35

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

Outputs

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

simplify109.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

683×	`associate-/l*_binary64`
384×	`cancel-sign-sub-inv_binary64`
289×	`log-prod_binary64`
278×	`associate-l_binary64`
252×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	3947
1	968	3637
2	3129	3580

Stop Event

1×	node limit

Counts

239 → 233

Calls

Call 1

Inputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(.f64 1/2 (.f64 a (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)))
x
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(.f64 1/2 (.f64 a (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(.f64 1/2 (.f64 a (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
x
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(.f64 1/2 (.f64 a (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(.f64 1/2 (.f64 a (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(+.f64 (.f64 1/2 (.f64 a (pow.f64 x 2))) x)
(+.f64 (.f64 a (.f64 x (.f64 x (.f64 1/2 a)))) (*.f64 a x))
(+.f64 (.f64 a x) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(+.f64 0 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x)))
(+.f64 (.f64 (.f64 a (.f64 x (.f64 x (.f64 1/2 a)))) 1) (.f64 (*.f64 a x) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 x (.f64 x (.f64 1/2 a)) x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 x (.f64 x (.f64 1/2 a)) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 x (.f64 x (.f64 1/2 a)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 x (.f64 x (.f64 1/2 a)) x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 x (.f64 x (.f64 1/2 a)))) 3) (pow.f64 (.f64 a x) 3)) (+.f64 (pow.f64 (.f64 a (.f64 x (.f64 x (.f64 1/2 a)))) 2) (-.f64 (pow.f64 (.f64 a x) 2) (.f64 (.f64 a (.f64 x (.f64 x (.f64 1/2 a)))) (.f64 a x)))))
(/.f64 (-.f64 (pow.f64 (.f64 a (.f64 x (.f64 x (.f64 1/2 a)))) 2) (pow.f64 (.f64 a x) 2)) (-.f64 (.f64 a (.f64 x (.f64 x (.f64 1/2 a)))) (.f64 a x)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 3) (pow.f64 x 3)) a) (fma.f64 x (-.f64 x (.f64 x (.f64 x (.f64 1/2 a)))) (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2) (.f64 x x)) a) (.f64 x (fma.f64 a (*.f64 x 1/2) -1)))
(/.f64 (.f64 a (+.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 3) (pow.f64 x 3))) (fma.f64 x (-.f64 x (.f64 x (.f64 x (.f64 1/2 a)))) (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2)))
(/.f64 (.f64 a (-.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2) (.f64 x x))) (.f64 x (fma.f64 a (*.f64 x 1/2) -1)))
(pow.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x)) 1)
(pow.f64 (pow.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x))) 3)
(pow.f64 (sqrt.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a (fma.f64 x (.f64 x (.f64 1/2 a)) x)))) 2)) (cbrt.f64 (log.f64 (.f64 a (fma.f64 x (.f64 x (.f64 1/2 a)) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 a (fma.f64 x (.f64 x (.f64 1/2 a)) x))))) (sqrt.f64 (log.f64 (.f64 a (fma.f64 x (.f64 x (.f64 1/2 a)) x)))))
(sqrt.f64 (pow.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x)) 2))
(log.f64 (pow.f64 (exp.f64 a) (fma.f64 x (.f64 x (.f64 1/2 a)) x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x)))))
(cbrt.f64 (pow.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x)) 3))
(expm1.f64 (log1p.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x))))
(log1p.f64 (expm1.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x))))
(exp.f64 (log.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x))))
(exp.f64 (.f64 (log.f64 (.f64 a (fma.f64 x (.f64 x (.f64 1/2 a)) x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a (fma.f64 x (.f64 x (.f64 1/2 a)) x)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a (fma.f64 x (.f64 x (.f64 1/2 a)) x)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x))) 1) 1))
(fma.f64 a x (.f64 a (.f64 x (.f64 x (.f64 1/2 a)))))
(fma.f64 a (.f64 x (.f64 x (.f64 1/2 a))) (.f64 a x))
(fma.f64 x a (.f64 a (.f64 x (.f64 x (.f64 1/2 a)))))
(fma.f64 x (.f64 (.f64 x (.f64 1/2 a)) a) (.f64 a x))
(fma.f64 (.f64 x (.f64 1/2 a)) (.f64 a x) (.f64 a x))
(fma.f64 (.f64 x (.f64 x (.f64 1/2 a))) a (.f64 a x))
(fma.f64 1 (.f64 a (.f64 x (.f64 x (.f64 1/2 a)))) (*.f64 a x))
(fma.f64 1 (.f64 a x) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(fma.f64 (.f64 a a) (.f64 x (.f64 x 1/2)) (.f64 a x))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (.f64 x (.f64 x (.f64 1/2 a)))) (*.f64 a x))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) x) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) a) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2)) (.f64 (cbrt.f64 (.f64 x (.f64 x (.f64 1/2 a)))) a) (.f64 a x))
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (.f64 x (.f64 x (.f64 1/2 a)))) (*.f64 a x))
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) x) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) a) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x (.f64 1/2 a)))) (.f64 (sqrt.f64 (.f64 x (.f64 x (.f64 1/2 a)))) a) (.f64 a x))
(fma.f64 (.f64 a (.f64 x (.f64 x (.f64 1/2 a)))) 1 (.f64 (.f64 a x) 1))
(fma.f64 (.f64 a x) (.f64 x (.f64 1/2 a)) (.f64 a x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 x (.f64 x (.f64 1/2 a))))) 2) (cbrt.f64 (.f64 a (.f64 x (.f64 x (.f64 1/2 a))))) (*.f64 a x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 a x)) 2) (cbrt.f64 (.f64 a x)) (.f64 a (.f64 x (.f64 x (.f64 1/2 a)))))
(fma.f64 (sqrt.f64 (.f64 a (.f64 x (.f64 x (.f64 1/2 a))))) (sqrt.f64 (.f64 a (.f64 x (.f64 x (.f64 1/2 a))))) (*.f64 a x))
(fma.f64 (sqrt.f64 (.f64 a x)) (sqrt.f64 (.f64 a x)) (.f64 a (.f64 x (.f64 x (.f64 1/2 a)))))
(fma.f64 (.f64 a (.f64 x (.f64 1/2 a))) x (.f64 a x))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 1/2 a))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a x))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 1/2 a))) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a x))
(fma.f64 (.f64 a (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2))) (cbrt.f64 (.f64 x (.f64 x (.f64 1/2 a)))) (.f64 a x))
(fma.f64 (.f64 a (sqrt.f64 (.f64 x (.f64 x (.f64 1/2 a))))) (sqrt.f64 (.f64 x (.f64 x (.f64 1/2 a)))) (.f64 a x))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(fma.f64 (.f64 x (sqrt.f64 a)) (sqrt.f64 a) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(fma.f64 (.f64 a (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(fma.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 x) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(+.f64 0 (.f64 x (.f64 x (*.f64 1/2 a))))
(+.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)))))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (*.f64 1/2 a))))) 1)
(pow.f64 (.f64 x (.f64 x (*.f64 1/2 a))) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 x (*.f64 1/2 a))) 2) 1/2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (*.f64 1/2 a)))) 3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 x (*.f64 1/2 a)))) 2)
(pow.f64 (pow.f64 (.f64 x (.f64 x (*.f64 1/2 a))) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (.f64 x (.f64 x (*.f64 1/2 a)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x (.f64 1/2 a))))) 2)) (cbrt.f64 (log.f64 (.f64 x (.f64 x (.f64 1/2 a))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 x (.f64 1/2 a)))))) (sqrt.f64 (log.f64 (.f64 x (.f64 x (.f64 1/2 a))))))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x (*.f64 1/2 a))) 2))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (*.f64 1/2 a))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (*.f64 1/2 a))) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (*.f64 1/2 a)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (*.f64 1/2 a)))))
(exp.f64 (log.f64 (.f64 x (.f64 x (*.f64 1/2 a)))))
(exp.f64 (.f64 (log.f64 (.f64 x (.f64 x (.f64 1/2 a)))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (.f64 x (.f64 1/2 a))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (.f64 x (.f64 1/2 a))))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 x (*.f64 1/2 a))))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 x (*.f64 1/2 a)))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 x (*.f64 1/2 a)))) 3) 1/3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2) (.f64 x (fma.f64 a (.f64 x 1/2) -1))) (/.f64 (.f64 x x) (.f64 x (fma.f64 a (.f64 x 1/2) -1))))
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(.f64 (fma.f64 x (.f64 x (*.f64 1/2 a)) x) 1)
(.f64 1 (fma.f64 x (.f64 x (*.f64 1/2 a)) x))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (*.f64 1/2 a)) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x)) 2) (cbrt.f64 (fma.f64 x (.f64 x (*.f64 1/2 a)) x)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x)) (sqrt.f64 (fma.f64 x (.f64 x (*.f64 1/2 a)) x)))
(.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 x (.f64 x (.f64 1/2 a)))) (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2) (.f64 x x)) (/.f64 1 (.f64 x (fma.f64 a (*.f64 x 1/2) -1))))
(.f64 (fma.f64 a (.f64 x 1/2) 1) x)
(.f64 (.f64 (fma.f64 a (*.f64 x 1/2) 1) 1) x)
(.f64 (.f64 (fma.f64 a (*.f64 x 1/2) 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (fma.f64 a (*.f64 x 1/2) 1) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 x (.f64 1/2 a)))) (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2)) (+.f64 (pow.f64 (.f64 x (.f64 x (*.f64 1/2 a))) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (.f64 x (fma.f64 a (.f64 x 1/2) -1)) (-.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 x (.f64 x (.f64 1/2 a)))) (pow.f64 (.f64 x (.f64 x (*.f64 1/2 a))) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 3) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2) (.f64 x (.f64 x (.f64 x (.f64 1/2 a)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2) (.f64 x x)) (.f64 x (fma.f64 a (.f64 x 1/2) -1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 x (.f64 1/2 a)))) (pow.f64 (.f64 x (.f64 x (*.f64 1/2 a))) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2) (.f64 x x))) (neg.f64 (.f64 x (fma.f64 a (.f64 x 1/2) -1))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2)) (-.f64 x (.f64 x (.f64 x (*.f64 1/2 a)))))
(pow.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x) 1)
(pow.f64 (pow.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x)) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x)))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x (.f64 x (.f64 1/2 a)))) (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2)) (+.f64 (pow.f64 (.f64 x (.f64 x (*.f64 1/2 a))) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (.f64 x (fma.f64 a (.f64 x 1/2) -1)) (-.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2) (.f64 x x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x)))) (sqrt.f64 (log.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x))))
(sqrt.f64 (pow.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 a (*.f64 x 1/2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (sqrt.f64 (exp.f64 a)) (.f64 x x))))
(log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 x (.f64 x (.f64 1/2 a)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 x (.f64 x (.f64 1/2 a)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (.f64 1/2 a))))) (exp.f64 x)))
(log.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) (.f64 x x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (.f64 1/2 a))))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x)))
(exp.f64 (log.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x (*.f64 1/2 a)) x)) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x (.f64 x (*.f64 1/2 a)) x) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (.f64 x (*.f64 1/2 a)) x))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 x (*.f64 1/2 a)) x))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x)) 1) 1))
(fma.f64 a (.f64 x (.f64 x 1/2)) x)
(fma.f64 x (.f64 x (.f64 1/2 a)) x)
(fma.f64 x 1 (.f64 x (.f64 x (*.f64 1/2 a))))
(fma.f64 (.f64 x 1/2) (.f64 a x) x)
(fma.f64 (.f64 x (.f64 1/2 a)) x x)
(fma.f64 (.f64 x (.f64 x (*.f64 1/2 a))) 1 x)
(fma.f64 1 x (.f64 x (.f64 x (*.f64 1/2 a))))
(fma.f64 1 (.f64 x (.f64 x (*.f64 1/2 a))) x)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (.f64 x (*.f64 x 1/2))) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 1/2 a))) 2) (.f64 (cbrt.f64 (.f64 x (*.f64 1/2 a))) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 x (*.f64 1/2 a))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 x (.f64 x (*.f64 1/2 a))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x (*.f64 1/2 a))) x)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x (.f64 1/2 a)))) (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2)) x)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2)) (cbrt.f64 (.f64 x (.f64 x (.f64 1/2 a)))) x)
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (.f64 x (*.f64 x 1/2))) x)
(fma.f64 (sqrt.f64 (.f64 x (.f64 1/2 a))) (.f64 (sqrt.f64 (.f64 x (*.f64 1/2 a))) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 x (.f64 x (*.f64 1/2 a))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (*.f64 1/2 a))) x)
(fma.f64 (sqrt.f64 (.f64 x (.f64 x (.f64 1/2 a)))) (sqrt.f64 (.f64 x (.f64 x (.f64 1/2 a)))) x)
(fma.f64 (.f64 a x) (.f64 x 1/2) x)
(fma.f64 (.f64 x (.f64 x 1/2)) a x)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x (.f64 1/2 a))) 2)) (cbrt.f64 (.f64 x (*.f64 1/2 a))) x)
(fma.f64 (.f64 x (sqrt.f64 (.f64 x (.f64 1/2 a)))) (sqrt.f64 (.f64 x (*.f64 1/2 a))) x)
(fma.f64 (.f64 x (.f64 a x)) 1/2 x)
(fma.f64 (.f64 (.f64 x (*.f64 1/2 a)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)
(fma.f64 (.f64 (.f64 x (*.f64 1/2 a)) (sqrt.f64 x)) (sqrt.f64 x) 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 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 x x) (.f64 a a)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 x x) (.f64 a a)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 x x) (.f64 a a)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (.f64 x x) (.f64 a a)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(.f64 1/2 (.f64 a (pow.f64 x 2)))
(.f64 1/2 (.f64 a (*.f64 x x)))
(.f64 x (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 x (*.f64 x 1/2)))
(.f64 1/2 (.f64 a (pow.f64 x 2)))
(.f64 1/2 (.f64 a (*.f64 x x)))
(.f64 x (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 x (*.f64 x 1/2)))
(.f64 1/2 (.f64 a (pow.f64 x 2)))
(.f64 1/2 (.f64 a (*.f64 x x)))
(.f64 x (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 x (*.f64 x 1/2)))
(.f64 1/2 (.f64 a (pow.f64 x 2)))
(.f64 1/2 (.f64 a (*.f64 x x)))
(.f64 x (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 x (*.f64 x 1/2)))
(.f64 1/2 (.f64 a (pow.f64 x 2)))
(.f64 1/2 (.f64 a (*.f64 x x)))
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(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
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(cbrt.f64 (pow.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x)) 3))
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(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(expm1.f64 (log1p.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x))))
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(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
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(log1p.f64 (expm1.f64 (.f64 a (fma.f64 x (.f64 x (*.f64 1/2 a)) x))))
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(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
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(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
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(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
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(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
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(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
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(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(fma.f64 1 (.f64 a (.f64 x (.f64 x (.f64 1/2 a)))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(fma.f64 1 (.f64 a x) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
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(fma.f64 (.f64 a a) (.f64 x (.f64 x 1/2)) (.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
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(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) x) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
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(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) a) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
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(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 a 1/2))) 2)) (.f64 a (cbrt.f64 (.f64 x (.f64 x (.f64 a 1/2))))) (.f64 a x))
(.f64 a (fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) (.f64 (.f64 a a) 1/4))) (cbrt.f64 (.f64 a (.f64 x (*.f64 x 1/2)))) x))
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (.f64 x (.f64 x (.f64 1/2 a)))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) x) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) a) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x (.f64 1/2 a)))) (.f64 (sqrt.f64 (.f64 x (.f64 x (.f64 1/2 a)))) a) (.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(fma.f64 (.f64 a (.f64 x (.f64 x (.f64 1/2 a)))) 1 (.f64 (.f64 a x) 1))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(fma.f64 (.f64 a x) (.f64 x (.f64 1/2 a)) (.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
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(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
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(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(fma.f64 (sqrt.f64 (.f64 a (.f64 x (.f64 x (.f64 1/2 a))))) (sqrt.f64 (.f64 a (.f64 x (.f64 x (.f64 1/2 a))))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(fma.f64 (sqrt.f64 (.f64 a x)) (sqrt.f64 (.f64 a x)) (.f64 a (.f64 x (.f64 x (.f64 1/2 a)))))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
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(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 1/2 a))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 1/2 a))) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(fma.f64 (.f64 a (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2))) (cbrt.f64 (.f64 x (.f64 x (.f64 1/2 a)))) (.f64 a x))
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(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 a 1/2))) 2)) (.f64 a (cbrt.f64 (.f64 x (.f64 x (.f64 a 1/2))))) (.f64 a x))
(.f64 a (fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) (.f64 (.f64 a a) 1/4))) (cbrt.f64 (.f64 a (.f64 x (*.f64 x 1/2)))) x))
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(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(fma.f64 (.f64 x (sqrt.f64 a)) (sqrt.f64 a) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
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(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(fma.f64 (.f64 a (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
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(fma.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 x) (.f64 a (.f64 x (.f64 x (*.f64 1/2 a)))))
(fma.f64 1/2 (.f64 (.f64 x x) (.f64 a a)) (.f64 a x))
(.f64 a (.f64 x (fma.f64 a (*.f64 x 1/2) 1)))
(.f64 x (.f64 (fma.f64 a (*.f64 x 1/2) 1) a))
(+.f64 0 (.f64 x (.f64 x (*.f64 1/2 a))))
(.f64 1/2 (.f64 a (*.f64 x x)))
(.f64 x (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 x (*.f64 x 1/2)))
(+.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)))))
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(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) (.f64 x 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)))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) (.f64 x x)))))
(.f64 x (.f64 x (log.f64 (sqrt.f64 (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (*.f64 1/2 a))))) 1)
(.f64 1/2 (.f64 a (*.f64 x x)))
(.f64 x (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 x (*.f64 x 1/2)))
(pow.f64 (.f64 x (.f64 x (*.f64 1/2 a))) 1)
(.f64 1/2 (.f64 a (*.f64 x x)))
(.f64 x (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 x (*.f64 x 1/2)))
(pow.f64 (pow.f64 (.f64 x (.f64 x (*.f64 1/2 a))) 2) 1/2)
(.f64 1/2 (.f64 a (*.f64 x x)))
(.f64 x (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 x (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (*.f64 1/2 a)))) 3)
(.f64 1/2 (.f64 a (*.f64 x x)))
(.f64 x (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 x (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (.f64 x (.f64 x (*.f64 1/2 a)))) 2)
(.f64 1/2 (.f64 a (*.f64 x x)))
(.f64 x (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 x (*.f64 x 1/2)))
(pow.f64 (pow.f64 (.f64 x (.f64 x (*.f64 1/2 a))) 3) 1/3)
(.f64 1/2 (.f64 a (*.f64 x x)))
(.f64 x (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 x (*.f64 x 1/2)))
(pow.f64 (exp.f64 1) (log.f64 (.f64 x (.f64 x (*.f64 1/2 a)))))
(.f64 1/2 (.f64 a (*.f64 x x)))
(.f64 x (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 x (*.f64 x 1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x (.f64 1/2 a))))) 2)) (cbrt.f64 (log.f64 (.f64 x (.f64 x (.f64 1/2 a))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 x x) (.f64 a 1/2)))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 x x) (.f64 a 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x (.f64 a 1/2))))) 2)) (cbrt.f64 (log.f64 (.f64 x (.f64 x (.f64 a 1/2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a (.f64 x (.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (.f64 a (.f64 x (.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 x (.f64 1/2 a)))))) (sqrt.f64 (log.f64 (.f64 x (.f64 x (.f64 1/2 a))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 x x) (.f64 a 1/2))))) (sqrt.f64 (log.f64 (.f64 (.f64 x x) (.f64 a 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 x (.f64 a 1/2)))))) (sqrt.f64 (log.f64 (.f64 x (.f64 x (.f64 a 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 a (.f64 x (.f64 x 1/2)))))) (sqrt.f64 (log.f64 (.f64 a (.f64 x (.f64 x 1/2))))))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x (*.f64 1/2 a))) 2))
(.f64 1/2 (.f64 a (*.f64 x x)))
(.f64 x (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 x (*.f64 x 1/2)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) (*.f64 x x)))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 a)) (.f64 x x)))))
(.f64 x (.f64 x (log.f64 (sqrt.f64 (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (*.f64 1/2 a))))))
(.f64 1/2 (.f64 a (*.f64 x x)))
(.f64 x (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 x (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (*.f64 1/2 a))) 3))
(.f64 1/2 (.f64 a (*.f64 x x)))
(.f64 x (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 x (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (*.f64 1/2 a)))))
(.f64 1/2 (.f64 a (*.f64 x x)))
(.f64 x (.f64 x (*.f64 a 1/2)))
(.f64 a (.f64 x (*.f64 x 1/2)))
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(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (.f64 x (*.f64 1/2 a)) x))) 3))
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 x (*.f64 1/2 a)) x))) 2))
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (.f64 x (.f64 1/2 a)) x)) 1) 1))
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 a (.f64 x (.f64 x 1/2)) x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 x (.f64 x (.f64 1/2 a)) x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 x 1 (.f64 x (.f64 x (*.f64 1/2 a))))
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (.f64 x 1/2) (.f64 a x) x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (.f64 x (.f64 1/2 a)) x x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (.f64 x (.f64 x (*.f64 1/2 a))) 1 x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 1 x (.f64 x (.f64 x (*.f64 1/2 a))))
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 1 (.f64 x (.f64 x (*.f64 1/2 a))) x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (.f64 x (*.f64 x 1/2))) x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 1/2 a))) 2) (.f64 (cbrt.f64 (.f64 x (*.f64 1/2 a))) x) x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 x (*.f64 1/2 a))))
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 x (.f64 x (*.f64 1/2 a))))
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x (*.f64 1/2 a))) x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x (.f64 1/2 a)))) (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2)) x)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 a 1/2))) (cbrt.f64 (pow.f64 (.f64 (.f64 x x) (.f64 a 1/2)) 2)) x)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 a 1/2))) 2)) (cbrt.f64 (.f64 x (.f64 x (.f64 a 1/2)))) x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) (.f64 (.f64 a a) 1/4))) (cbrt.f64 (.f64 a (.f64 x (.f64 x 1/2)))) x)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 1/2 a))) 2)) (cbrt.f64 (.f64 x (.f64 x (.f64 1/2 a)))) x)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) (.f64 a 1/2))) (cbrt.f64 (pow.f64 (.f64 (.f64 x x) (.f64 a 1/2)) 2)) x)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x (.f64 a 1/2))) 2)) (cbrt.f64 (.f64 x (.f64 x (.f64 a 1/2)))) x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) (.f64 (.f64 a a) 1/4))) (cbrt.f64 (.f64 a (.f64 x (.f64 x 1/2)))) x)
(fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (.f64 x (*.f64 x 1/2))) x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (sqrt.f64 (.f64 x (.f64 1/2 a))) (.f64 (sqrt.f64 (.f64 x (*.f64 1/2 a))) x) x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 x (.f64 x (*.f64 1/2 a))))
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (*.f64 1/2 a))) x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x (.f64 1/2 a)))) (sqrt.f64 (.f64 x (.f64 x (.f64 1/2 a)))) x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (.f64 a x) (.f64 x 1/2) x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (.f64 x (.f64 x 1/2)) a x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x (.f64 1/2 a))) 2)) (cbrt.f64 (.f64 x (*.f64 1/2 a))) x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x (.f64 1/2 a)))) (sqrt.f64 (.f64 x (*.f64 1/2 a))) x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (.f64 x (.f64 a x)) 1/2 x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (.f64 (.f64 x (*.f64 1/2 a)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))
(fma.f64 (.f64 (.f64 x (*.f64 1/2 a)) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 1/2 (.f64 a (.f64 x x)) x)
(.f64 x (fma.f64 a (.f64 x 1/2) 1))

eval97.0ms (2.4%)

Compiler: Compiled 4428 to 2570 computations (42% saved)

prune37.0ms (0.9%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	233	7	240

Error

0.0b

Counts

240 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	37.8b	(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 2) 2)
✓	37.6b	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2)
✓	51.6b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
✓	20.6b	(.f64 a (+.f64 (.f64 (.f64 a (.f64 x 1/2)) x) x))
✓	20.3b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	38.9b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 64 to 45 computations (29.7% saved)

regimes35.0ms (0.9%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	(*.f64 a x)
8.0ms	x
7.0ms	a
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 127 to 67 computations (47.2% saved)

regimes14.0ms (0.3%)

Accuracy

Total -31.6b remaining (-155.9%)

Threshold costs -31.6b (-155.9%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

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

Results

Error	Segments	Branch
20.3b	1	`a`
20.3b	1	`x`
20.3b	1	`(*.f64 a x)`

Compiler

Compiled 58 to 32 computations (44.8% saved)

simplify2.0ms (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)

soundness93.0ms (2.3%)

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)

end15.0ms (0.4%)

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

Details

analyze24.0ms (0.6%)

sample1.5s (38.2%)

preprocess46.0ms (1.1%)

simplify39.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series3.0ms (0.1%)

rewrite47.0ms (1.2%)

simplify50.0ms (1.2%)

eval10.0ms (0.3%)

prune12.0ms (0.3%)

localize3.0ms (0.1%)

localize11.0ms (0.3%)

series11.0ms (0.3%)

rewrite64.0ms (1.6%)

simplify88.0ms (2.2%)

localize9.0ms (0.2%)

series6.0ms (0.1%)

rewrite47.0ms (1.2%)

simplify46.0ms (1.1%)

localize8.0ms (0.2%)

series104.0ms (2.6%)

rewrite38.0ms (0.9%)

simplify52.0ms (1.3%)

localize8.0ms (0.2%)

series9.0ms (0.2%)

rewrite47.0ms (1.2%)

simplify36.0ms (0.9%)

eval187.0ms (4.7%)

prune97.0ms (2.4%)

localize12.0ms (0.3%)

series7.0ms (0.2%)

rewrite47.0ms (1.2%)

simplify42.0ms (1.1%)

localize10.0ms (0.3%)

series4.0ms (0.1%)

rewrite46.0ms (1.1%)

simplify41.0ms (1%)

localize11.0ms (0.3%)

series8.0ms (0.2%)

rewrite66.0ms (1.6%)

simplify89.0ms (2.2%)

localize13.0ms (0.3%)

series17.0ms (0.4%)

rewrite52.0ms (1.3%)

simplify68.0ms (1.7%)

eval236.0ms (5.9%)

prune122.0ms (3%)

localize14.0ms (0.3%)

series8.0ms (0.2%)

rewrite68.0ms (1.7%)

simplify109.0ms (2.7%)

eval97.0ms (2.4%)

prune37.0ms (0.9%)

regimes35.0ms (0.9%)

regimes14.0ms (0.3%)

simplify2.0ms (0.1%)

soundness93.0ms (2.3%)

end15.0ms (0.4%)

Profiling