Details

analyze28.0ms (0.5%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.6s (26.6%)

Results

659.0ms	1463×	body	2048	valid
431.0ms	1769×	body	1024	valid
335.0ms	3872×	body	256	valid
171.0ms	1152×	body	512	valid
26.0ms	312×	body	256	infinite

Bogosity

preprocess46.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a x)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify41.0ms (0.7%)

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

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(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
✓	0.1b	(expm1.f64 (*.f64 a x))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite34.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

simplify52.0ms (0.8%)

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

eval11.0ms (0.2%)

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

prune10.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	42	6	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	7	49

Error

0.0b

Counts

49 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.8b	(fma.f64 a x (.f64 1/2 (.f64 (.f64 a x) (.f64 a x))))
▶	0.8b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	26.7b	(.f64 x (+.f64 a (.f64 (.f64 x (.f64 a a)) 1/2)))
▶	22.6b	(*.f64 a x)
✓	0.1b	(expm1.f64 (*.f64 a x))
▶	40.0b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
	18.0b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 122 to 80 computations (34.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(expm1.f64 (*.f64 a x))
✓	0.4b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	8.7b	(cbrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series20.0ms (0.3%)

Counts

2 → 32

Calls

12 calls:

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

rewrite43.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

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

Outputs

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

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

simplify43.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

524×	`fma-def_binary64`
515×	`unswap-sqr_binary64`
442×	`distribute-rgt-in_binary64`
436×	`exp-prod_binary64`
436×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	550
1	196	550
2	640	550
3	3212	537

Stop Event

1×	node limit

Counts

73 → 49

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize12.0ms (0.2%)

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)))
✓	8.3b	(.f64 x (.f64 a a))

Compiler

Compiled 40 to 14 computations (65% saved)

series9.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

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

rewrite66.0ms (1.1%)

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

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

607×	`unswap-sqr_binary64`
327×	`cancel-sign-sub-inv_binary64`
280×	`log-prod_binary64`
239×	`sqr-pow_binary64`
229×	`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))))
(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))
(log1p.f64 (expm1.f64 (.f64 x (.f64 a a))))
(+.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))))
(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))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (pow.f64 (.f64 x a) 2) (.f64 x a))))
(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)
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(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)))
(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))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x a) (.f64 a 1/2) a)))
(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)))))
(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))
(log1p.f64 (expm1.f64 (.f64 x (.f64 a (*.f64 a 1/2)))))

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 10 computations (72.2% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite45.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`pow1_binary64`
627×	`add-log-exp_binary64`
627×	`log1p-expm1-u_binary64`
627×	`expm1-log1p-u_binary64`
612×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	146	17
2	1757	17

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

796×	`associate-l_binary64`
647×	`associate-r_binary64`
554×	`associate-+l+_binary64`
538×	`fma-def_binary64`
332×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	805
1	151	595
2	546	595
3	4539	595

Stop Event

1×	node limit

Counts

70 → 27

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(expm1.f64 (*.f64 a x))
✓	1.5b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
✓	8.1b	(log.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 22 to 6 computations (72.7% saved)

series95.0ms (1.5%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	x	@	-inf	(log.f64 (expm1.f64 (*.f64 a x)))
23.0ms	a	@	inf	(log.f64 (expm1.f64 (*.f64 a x)))
22.0ms	a	@	-inf	(log.f64 (expm1.f64 (*.f64 a x)))
13.0ms	x	@	inf	(log.f64 (expm1.f64 (*.f64 a x)))
1.0ms	a	@	0	(log.f64 (expm1.f64 (*.f64 a x)))

rewrite38.0ms (0.6%)

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 exp.f64 (log.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 +.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))))))))

simplify50.0ms (0.8%)

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

eval133.0ms (2.2%)

Compiler: Compiled 8341 to 4104 computations (50.8% saved)

prune86.0ms (1.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	503	4	507
Fresh	0	1	1
Picked	0	1	1
Done	2	3	5
Total	505	9	514

Error

0.0b

Counts

514 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.2b	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 4) 3)
▶	1.4b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)
✓	0.8b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	22.8b	(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))
▶	53.0b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
✓	22.6b	(*.f64 a x)
✓	0.1b	(expm1.f64 (*.f64 a x))
✓	40.0b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
▶	18.0b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 144 to 106 computations (26.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)
✓	0.4b	(cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
✓	0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
	8.7b	(cbrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 41 to 13 computations (68.3% saved)

series60.0ms (1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
8.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
8.0ms	a	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
7.0ms	x	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3)
7.0ms	a	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`pow1_binary64`
646×	`add-log-exp_binary64`
646×	`log1p-expm1-u_binary64`
646×	`expm1-log1p-u_binary64`
625×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	209	24
2	1895	24

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

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

Outputs

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

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

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

simplify134.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

680×	`associate-r_binary64`
578×	`associate-l_binary64`
450×	`fma-def_binary64`
383×	`*-commutative_binary64`
349×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	8657
1	1711	7402
2	6527	7320

Stop Event

1×	node limit

Counts

138 → 148

Calls

Call 1

Inputs
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))
(+.f64 (.f64 a (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))
(+.f64 (.f64 a (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 1/162 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))) (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))
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(cbrt.f64 (expm1.f64 (*.f64 a x)))
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(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
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(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 2) 9) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 9))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) 9) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 9))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1) (cbrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(/.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))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))

Outputs
(.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)
(+.f64 (.f64 a (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))
(fma.f64 a (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) x) 1/6) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))
(fma.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))
(+.f64 (.f64 a (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 1/162 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))) (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))
(fma.f64 a (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) x) 1/6) (fma.f64 (.f64 a a) (fma.f64 (fma.f64 2 (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (.f64 1/324 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 x x))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/162 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x x)) (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
(fma.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x 1/6)) (fma.f64 (.f64 a a) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (.f64 x x) 1/324))) (fma.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (.f64 x x) 1/162)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
(+.f64 (.f64 a (+.f64 (.f64 1/18 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))) (.f64 1/9 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 1/162 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2)))) (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))))) (+.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)) (.f64 (pow.f64 a 3) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/324 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/34992 (pow.f64 x 3)) (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))))))) (.f64 1/9 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 1/9 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) x)))) (+.f64 (.f64 1/18 (.f64 (+.f64 (.f64 1/324 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2) (pow.f64 x 2))) (.f64 2 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2)))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 1/324 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (+.f64 (.f64 1/34992 (pow.f64 x 3)) (.f64 1/54 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 3)))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) 2))))))))))
(fma.f64 a (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) x) 1/6) (+.f64 (fma.f64 (.f64 a a) (fma.f64 (fma.f64 2 (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (.f64 1/324 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 x x))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/162 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x x)) (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) (.f64 (pow.f64 a 3) (fma.f64 (fma.f64 2 (.f64 (fma.f64 1/324 (.f64 x (.f64 (.f64 x x) 1/12)) (fma.f64 1/34992 (pow.f64 x 3) (.f64 1/54 (.f64 (pow.f64 x 3) 0)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (.f64 1/9 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648))) (.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/9 (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) x)) (fma.f64 1/18 (.f64 (fma.f64 2 (.f64 (fma.f64 1/18 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/648)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (.f64 1/324 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 x x))) (.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))))) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 (fma.f64 1/324 (.f64 x (.f64 (.f64 x x) 1/12)) (fma.f64 1/34992 (pow.f64 x 3) (.f64 1/54 (*.f64 (pow.f64 x 3) 0)))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))))))))
(fma.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x 1/6)) (fma.f64 (.f64 a a) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (.f64 x x) 1/324))) (fma.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (.f64 x x) 1/162)))) (fma.f64 (pow.f64 a 3) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/9 (.f64 (.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216))) (.f64 2 (.f64 (fma.f64 1/324 (.f64 (pow.f64 x 3) 1/12) (fma.f64 1/34992 (pow.f64 x 3) 0)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))) (fma.f64 1/9 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))) (fma.f64 1/18 (.f64 x (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (.f64 x x) 1/324))))) (.f64 (fma.f64 1/324 (.f64 (pow.f64 x 3) 1/12) (fma.f64 1/34992 (pow.f64 x 3) 0)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))
(fma.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x 1/6)) (fma.f64 (.f64 a a) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (.f64 x x) 1/324))) (fma.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 (.f64 x x) 1/162)))) (fma.f64 (pow.f64 a 3) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/9 (.f64 (.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216))) (.f64 2 (.f64 (fma.f64 1/324 (.f64 (pow.f64 x 3) 1/12) (.f64 1/34992 (pow.f64 x 3))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)))) (fma.f64 1/9 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (.f64 x (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))) (fma.f64 1/18 (.f64 x (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (.f64 (fma.f64 (.f64 x x) 1/648 (.f64 (.f64 x x) 1/216)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (.f64 (.f64 x x) 1/324))))) (.f64 (fma.f64 1/324 (.f64 (pow.f64 x 3) 1/12) (.f64 1/34992 (pow.f64 x 3))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)
(+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (+.f64 (.f64 1/18 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) x))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x (.f64 (*.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) 1/6)))
(fma.f64 x (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))
(+.f64 (.f64 (+.f64 (.f64 1/162 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (+.f64 (.f64 1/18 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) x)))
(fma.f64 (fma.f64 1/162 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (.f64 1/324 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))))))) (.f64 x x) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x (.f64 (.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) 1/6))))
(fma.f64 (.f64 x x) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (.f64 (.f64 a a) 1/324) (.f64 2 (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))))) (.f64 (.f64 a a) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/162))) (fma.f64 x (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))))))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/34992 (pow.f64 a 3)) (.f64 1/324 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))))))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/54 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 1/34992 (pow.f64 a 3)) (.f64 1/324 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) (.f64 1/18 (.f64 a (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/162 (.f64 (pow.f64 a 2) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 1/648 (pow.f64 a 2)) (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (.f64 1/324 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (+.f64 (.f64 1/18 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))))) (.f64 1/9 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 x) (log.f64 a)))) 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))))) x))))
(fma.f64 (fma.f64 (fma.f64 1/9 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12))))) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/54 (.f64 (pow.f64 a 3) 0) (fma.f64 1/34992 (pow.f64 a 3) (.f64 1/324 (.f64 a (.f64 (.f64 a a) 1/12)))))))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/54 (.f64 (pow.f64 a 3) 0) (fma.f64 1/34992 (pow.f64 a 3) (.f64 1/324 (.f64 a (.f64 (.f64 a a) 1/12)))))) (fma.f64 1/9 (.f64 (.f64 a (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12))))) (.f64 (.f64 1/18 a) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (.f64 1/324 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))))))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/162 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/648 (.f64 a a) (.f64 1/18 (.f64 (.f64 a a) 1/12)))) (.f64 1/324 (.f64 (.f64 a a) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2))))))) (.f64 x x) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (.f64 x (.f64 (*.f64 a (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3)) 1/6)))))
(fma.f64 (pow.f64 x 3) (+.f64 (fma.f64 1/9 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))) (.f64 1/18 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (.f64 (.f64 a a) 1/324) (.f64 2 (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216))))) (.f64 a (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))))))) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/9 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (fma.f64 1/324 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/34992)) 0)))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (+.f64 (fma.f64 1/324 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/34992)) 0)))) (fma.f64 (.f64 x x) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (.f64 (.f64 a a) 1/324) (.f64 2 (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))))) (.f64 (.f64 a a) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/162))) (fma.f64 x (.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))
(fma.f64 (pow.f64 x 3) (+.f64 (fma.f64 1/9 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))) (.f64 1/18 (.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (.f64 (.f64 a a) 1/324) (.f64 2 (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216))))) (.f64 a (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))))))) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/9 (.f64 a (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 1/324 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/34992))))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) (fma.f64 1/324 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/34992))))) (fma.f64 (.f64 x x) (fma.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 2) (+.f64 (.f64 (.f64 a a) 1/324) (.f64 2 (fma.f64 (.f64 a a) 1/648 (.f64 (.f64 a a) 1/216)))))) (.f64 (.f64 a a) (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/162))) (fma.f64 x (.f64 a (*.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3) 1/6)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) 3))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a)))
(+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (*.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x))))
(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 1/18 (.f64 a (*.f64 x (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a)))))))
(fma.f64 1/18 (.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))) (.f64 x a)) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 x) (log.f64 a))))
(+.f64 (.f64 (+.f64 (.f64 1/18 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/648 (pow.f64 x 2))) (.f64 (pow.f64 a 2) (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/18 (.f64 a (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 a) (log.f64 x)))) x)))))
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(.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (.f64 a x)) 1))
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(.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (.f64 a x)) 1))
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(.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (.f64 a x)) 1))
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(.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (.f64 a x)) 1))
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(.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 1/9) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(-.f64 (+.f64 1 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1)
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
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(.f64 1 (cbrt.f64 (expm1.f64 (.f64 a x))))
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(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
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(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/3))
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(cbrt.f64 (expm1.f64 (*.f64 a x)))
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(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
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(-.f64 (pow.f64 (exp.f64 a) x) 1)
(expm1.f64 (*.f64 x a))
(.f64 (expm1.f64 (.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(expm1.f64 (*.f64 x a))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(expm1.f64 (*.f64 x a))
(.f64 1 (expm1.f64 (.f64 a x)))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
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(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
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(expm1.f64 (*.f64 x a))
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(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1) (cbrt.f64 (expm1.f64 (.f64 a x))))
(expm1.f64 (*.f64 x a))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (*.f64 x a))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(expm1.f64 (*.f64 x a))
(/.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 (exp.f64 (.f64 x a)) 3) -1) (+.f64 (pow.f64 (exp.f64 a) (.f64 2 x)) (+.f64 1 (exp.f64 (*.f64 x a)))))
(/.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 (*.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 x a))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(expm1.f64 (*.f64 x a))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(expm1.f64 (*.f64 x a))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 x a))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (.f64 x (*.f64 a 1/2)))
✓	3.0b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite48.0ms (0.8%)

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 exp.f64 (log.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 -.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 exp.f64 (log.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))))))))

simplify40.0ms (0.7%)

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	2969	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)))))
(exp.f64 (log.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)))))
(-.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))))
(exp.f64 (log.f64 (.f64 x (.f64 (*.f64 a 1/2) a))))
(log1p.f64 (expm1.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))))
(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))))
(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))))
(-.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)))
(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)))
(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)))

localize11.0ms (0.2%)

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))
✓	0.2b	(.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)

series6.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.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	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)))

rewrite67.0ms (1.1%)

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

simplify91.0ms (1.5%)

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(expm1.f64 (*.f64 a x))
✓	0.2b	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
✓	18.0b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 25 to 10 computations (60% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
1.0ms	a	@	0	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
1.0ms	x	@	0	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
1.0ms	a	@	inf	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
1.0ms	a	@	-inf	(pow.f64 (expm1.f64 (*.f64 a x)) 3)

rewrite44.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

478×	`unswap-sqr_binary64`
460×	`associate-+l+_binary64`
433×	`associate-+r+_binary64`
383×	`*-commutative_binary64`
341×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	1119
1	486	1107
2	1750	1088
3	7162	1072

Stop Event

1×	node limit

Counts

89 → 81

Calls

Call 1

Inputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(+.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 4)) (*.f64 (pow.f64 a 3) (pow.f64 x 3)))
(+.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/2 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5)))) (pow.f64 a 5)) (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 4)) (+.f64 (.f64 (pow.f64 a 6) (+.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5))) x) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 1/6 (pow.f64 x 6)) (.f64 1/24 (pow.f64 x 6)))))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/2 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5)))) (pow.f64 a 5)) (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 (+.f64 (*.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (*.f64 1/6 (pow.f64 a 5)))) (pow.f64 x 5))))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 a (+.f64 (.f64 1/12 (pow.f64 a 5)) (.f64 1/6 (pow.f64 a 5)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))))) (+.f64 (.f64 1/6 (pow.f64 a 6)) (.f64 1/24 (pow.f64 a 6))))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (*.f64 1/6 (pow.f64 a 5)))) (pow.f64 x 5)))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(+.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 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/3))
(.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 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 1 1/3) (expm1.f64 (.f64 a x)))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2) 1/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/3))
(/.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)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 a x)) 3)) 1)
(.f64 (expm1.f64 (.f64 a x)) (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3) 1)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 3))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2)))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2) (pow.f64 (expm1.f64 (*.f64 a x)) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 3) (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 3) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 3))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1) (expm1.f64 (.f64 a x)))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (sqrt.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 6))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(exp.f64 (.f64 3 (log.f64 (expm1.f64 (.f64 a x)))))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))

Outputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(fma.f64 1/2 (.f64 x (.f64 x (.f64 a a))) (.f64 a x))
(.f64 x (+.f64 a (.f64 x (.f64 a (.f64 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 x (.f64 x (.f64 a a))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (*.f64 a x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 x (.f64 x (.f64 a a))) (fma.f64 a x (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(-.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 1/2 (.f64 x (.f64 x (.f64 a a))) (.f64 a x))
(.f64 x (+.f64 a (.f64 x (.f64 a (.f64 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 x (.f64 x (.f64 a a))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (*.f64 a x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (fma.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4)) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 x (.f64 x (.f64 a a))) (fma.f64 a x (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(+.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 4)) (*.f64 (pow.f64 a 3) (pow.f64 x 3)))
(fma.f64 (.f64 3/2 (pow.f64 x 4)) (pow.f64 a 4) (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (.f64 (pow.f64 a 4) (.f64 (pow.f64 x 4) 3/2)))
(+.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/2 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5)))) (pow.f64 a 5)) (*.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 (.f64 3/2 (pow.f64 x 4)) (pow.f64 a 4) (fma.f64 (fma.f64 (.f64 (pow.f64 x 4) 7/12) x (.f64 (pow.f64 x 5) 2/3)) (pow.f64 a 5) (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(fma.f64 (pow.f64 a 4) (.f64 (pow.f64 x 4) 3/2) (fma.f64 (pow.f64 a 3) (pow.f64 x 3) (.f64 (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (.f64 (pow.f64 x 5) 2/3)) (pow.f64 a 5))))
(fma.f64 (pow.f64 a 4) (.f64 (pow.f64 x 4) 3/2) (fma.f64 (pow.f64 a 3) (pow.f64 x 3) (.f64 (fma.f64 (pow.f64 x 5) 2/3 (*.f64 (pow.f64 x 5) 7/12)) (pow.f64 a 5))))
(+.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 4)) (+.f64 (.f64 (pow.f64 a 6) (+.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5))) x) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) (pow.f64 x 2))) (+.f64 (.f64 1/6 (pow.f64 x 6)) (.f64 1/24 (pow.f64 x 6)))))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/2 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5)))) (pow.f64 a 5)) (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 (.f64 3/2 (pow.f64 x 4)) (pow.f64 a 4) (fma.f64 (pow.f64 a 6) (fma.f64 (.f64 (pow.f64 x 5) 1/4) x (fma.f64 1/2 (.f64 (.f64 x x) (.f64 (pow.f64 x 4) 7/12)) (.f64 (pow.f64 x 6) 5/24))) (fma.f64 (fma.f64 (.f64 (pow.f64 x 4) 7/12) x (.f64 (pow.f64 x 5) 2/3)) (pow.f64 a 5) (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 (pow.f64 a 4) (.f64 (pow.f64 x 4) 3/2) (fma.f64 (pow.f64 a 6) (fma.f64 x (.f64 1/4 (pow.f64 x 5)) (fma.f64 1/2 (.f64 (pow.f64 x 6) 7/12) (.f64 (pow.f64 x 6) 5/24))) (fma.f64 (pow.f64 a 3) (pow.f64 x 3) (.f64 (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (*.f64 (pow.f64 x 5) 2/3)) (pow.f64 a 5)))))
(fma.f64 (pow.f64 a 4) (.f64 (pow.f64 x 4) 3/2) (fma.f64 (pow.f64 a 6) (+.f64 (.f64 1/4 (pow.f64 x 6)) (fma.f64 1/2 (.f64 (pow.f64 x 6) 7/12) (.f64 (pow.f64 x 6) 5/24))) (fma.f64 (pow.f64 a 3) (pow.f64 x 3) (.f64 (fma.f64 (pow.f64 x 5) 2/3 (.f64 (pow.f64 x 5) 7/12)) (pow.f64 a 5)))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 (+.f64 (*.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 4)))
(fma.f64 (.f64 3/2 (pow.f64 x 4)) (pow.f64 a 4) (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (.f64 (pow.f64 a 4) (.f64 (pow.f64 x 4) 3/2)))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (*.f64 1/6 (pow.f64 a 5)))) (pow.f64 x 5))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (.f64 3/2 (pow.f64 a 4)) (pow.f64 x 4) (.f64 (pow.f64 x 5) (fma.f64 1/2 (pow.f64 a 5) (fma.f64 a (.f64 (pow.f64 a 4) 7/12) (.f64 1/6 (pow.f64 a 5)))))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 x 5) (fma.f64 1/2 (pow.f64 a 5) (fma.f64 1/6 (pow.f64 a 5) (.f64 (pow.f64 a 4) (.f64 7/12 a)))) (.f64 (pow.f64 a 4) (.f64 (pow.f64 x 4) 3/2))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 x 5) (+.f64 (.f64 (pow.f64 a 5) 7/12) (.f64 (pow.f64 a 5) 2/3)) (.f64 (pow.f64 a 4) (.f64 (pow.f64 x 4) 3/2))))
(+.f64 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 a (+.f64 (.f64 1/12 (pow.f64 a 5)) (.f64 1/6 (pow.f64 a 5)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))))) (+.f64 (.f64 1/6 (pow.f64 a 6)) (.f64 1/24 (pow.f64 a 6))))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 4)) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 5)) (+.f64 (.f64 a (+.f64 (.f64 1/3 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4)))) (*.f64 1/6 (pow.f64 a 5)))) (pow.f64 x 5)))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (fma.f64 a (.f64 (pow.f64 a 5) 1/4) (fma.f64 1/2 (.f64 (.f64 a a) (.f64 (pow.f64 a 4) 7/12)) (.f64 (pow.f64 a 6) 5/24))) (pow.f64 x 6) (fma.f64 (.f64 3/2 (pow.f64 a 4)) (pow.f64 x 4) (.f64 (pow.f64 x 5) (fma.f64 1/2 (pow.f64 a 5) (fma.f64 a (.f64 (pow.f64 a 4) 7/12) (*.f64 1/6 (pow.f64 a 5))))))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 x 6) (fma.f64 a (.f64 1/4 (pow.f64 a 5)) (fma.f64 1/2 (.f64 (pow.f64 a 6) 7/12) (.f64 (pow.f64 a 6) 5/24))) (fma.f64 (pow.f64 x 5) (fma.f64 1/2 (pow.f64 a 5) (fma.f64 1/6 (pow.f64 a 5) (.f64 (pow.f64 a 4) (.f64 7/12 a)))) (.f64 (pow.f64 a 4) (*.f64 (pow.f64 x 4) 3/2)))))
(fma.f64 (pow.f64 a 3) (pow.f64 x 3) (fma.f64 (pow.f64 x 6) (+.f64 (.f64 1/4 (pow.f64 a 6)) (fma.f64 1/2 (.f64 (pow.f64 a 6) 7/12) (.f64 (pow.f64 a 6) 5/24))) (fma.f64 (pow.f64 x 5) (+.f64 (.f64 (pow.f64 a 5) 7/12) (.f64 (pow.f64 a 5) 2/3)) (.f64 (pow.f64 a 4) (*.f64 (pow.f64 x 4) 3/2)))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(+.f64 (pow.f64 (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 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2) 1/3))
(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 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1/3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (expm1.f64 (.f64 a x)))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2) 1/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/6) 4)
(/.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 (pow.f64 (exp.f64 a) x) 3)) (+.f64 (pow.f64 (exp.f64 a) x) (+.f64 1 (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))
(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))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 a x)) 3)) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (expm1.f64 (.f64 a x)) (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (expm1.f64 (*.f64 a x)))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2)))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 2)))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2) (pow.f64 (expm1.f64 (*.f64 a x)) 3/2))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 3) (expm1.f64 (*.f64 a x)))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 3) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) 1) (expm1.f64 (.f64 a x)))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2) (sqrt.f64 (expm1.f64 (.f64 a x)))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 6))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(exp.f64 (.f64 3 (log.f64 (expm1.f64 (.f64 a x)))))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(pow.f64 (expm1.f64 (*.f64 a x)) 3)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 4) 3)
✓	0.3b	(pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 4)
✓	1.1b	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6)
✓	8.0b	(sqrt.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 46 to 20 computations (56.5% saved)

series144.0ms (2.4%)

Counts

4 → 64

Calls

24 calls:

Time	Variable		Point	Expression
61.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6)
13.0ms	a	@	-inf	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6)
13.0ms	x	@	inf	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6)
12.0ms	a	@	inf	(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6)
8.0ms	a	@	0	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 4) 3)

rewrite57.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
869×	`add-log-exp_binary64`
869×	`log1p-expm1-u_binary64`
869×	`expm1-log1p-u_binary64`
116×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	263	31
2	2834	31

Stop Event

1×	node limit

Counts

4 → 89

Calls

Call 1

Inputs
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6)
(pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 4)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 4) 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (cbrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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 1 3/2) (sqrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3/2) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3/2))))) (#(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 (expm1.f64 (.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3/4) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3/4))))) (#(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)) 1/12) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3/2)))) (#(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 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3)))) (#(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 (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 log.f64 (+.f64 1 (expm1.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 exp.f64 (log.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 -.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) (pow.f64 (expm1.f64 (.f64 a x)) 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/12) (pow.f64 (expm1.f64 (.f64 a x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1/12) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/6) (pow.f64 (expm1.f64 (.f64 a x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1/6) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 2/3) (cbrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2/3) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 2/3) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) 4) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) 4) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) 4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (expm1.f64 (.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.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 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (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 (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)) 1/6) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) 12) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) 12) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) 12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) 3) (cbrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (expm1.f64 (.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1) (cbrt.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (pow.f64 (expm1.f64 (.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) x) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) (+.f64 1 (.f64 (pow.f64 (exp.f64 a) x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) x)) 1) (+.f64 (pow.f64 (exp.f64 a) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 exp.f64 (log.f64 (expm1.f64 (.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))))))

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

921×	`fma-def_binary64`
517×	`unswap-sqr_binary64`
416×	`exp-prod_binary64`
415×	`log-prod_binary64`
356×	`prod-exp_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	4294968784
1	379	1428
2	1067	1400
3	5266	1388

Stop Event

1×	node limit

Counts

153 → 107

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 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))) 1)
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1)
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 1 (sqrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (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 (pow.f64 1 3/2) (sqrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3/2) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3/2))
(.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 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3/4) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/4))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12) 6)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/2)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/3)
(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)))))
(log.f64 (+.f64 1 (expm1.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)))))
(exp.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))) 1)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) 1)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) (pow.f64 (expm1.f64 (*.f64 a x)) 1/24))
(.f64 (pow.f64 1 1/12) (pow.f64 (expm1.f64 (.f64 a x)) 1/12))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1/12) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/12))
(.f64 (pow.f64 1 1/6) (pow.f64 (expm1.f64 (.f64 a x)) 1/12))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1/6))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 1/6))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 1/12))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 1)
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1)
(.f64 1 (cbrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 1 2/3) (cbrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2/3))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 2/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 2/3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) 4) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 4))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) 4) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/24) 4))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(-.f64 (pow.f64 (exp.f64 a) x) 1)
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(.f64 (expm1.f64 (.f64 a x)) 1)
(.f64 1 (expm1.f64 (.f64 a x)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(.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 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) 12) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 12))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) 12) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/24) 12))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) 3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1) (cbrt.f64 (expm1.f64 (.f64 a x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(/.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))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(log1p.f64 (expm1.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 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (log1p.f64 (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 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3)
(.f64 1 (sqrt.f64 (expm1.f64 (.f64 a x))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3)
(.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 (pow.f64 1 3/2) (sqrt.f64 (expm1.f64 (.f64 a x))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3/2))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3/2) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3/2))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3)
(.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 (expm1.f64 (*.f64 a x)) 1/6))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3)
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 3/4) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/4))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/2)
(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)) 1/12) 6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/2)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/2)
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2))
(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)))
(log.f64 (+.f64 1 (expm1.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))
(expm1.f64 (log1p.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)))
(log1p.f64 (expm1.f64 (sqrt.f64 (expm1.f64 (*.f64 a x)))))
(sqrt.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) (pow.f64 (expm1.f64 (*.f64 a x)) 1/24))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 1 1/12) (pow.f64 (expm1.f64 (.f64 a x)) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1/12) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/12))
(.f64 (pow.f64 1 1/6) (pow.f64 (expm1.f64 (.f64 a x)) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1/6))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 1/6))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 1/6))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/12)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))) 1)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 1 (cbrt.f64 (expm1.f64 (.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 2))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 1 2/3) (cbrt.f64 (expm1.f64 (.f64 a x))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 2/3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/3) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 1/3)) (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 1/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1/3)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)) 2))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 2/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 2/3))
(.f64 (.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1/6) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1/6)) (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1/6) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1/6))) (.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1/6) (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1/6)) (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4) 1/6))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4)) (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 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)) 4)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) 4) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 4))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) 4) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/24) 4))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(cbrt.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 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (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 (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)) 1/6) (.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (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 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2)))
(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 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) 12) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12)) 12))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/24) 12) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/24) 12))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2) 3) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(.f64 (.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1) (cbrt.f64 (expm1.f64 (.f64 a x))))
(expm1.f64 (*.f64 a x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(expm1.f64 (*.f64 a x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(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 x) a) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) (*.f64 2 a)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 x) a) 3)) (fma.f64 (pow.f64 (exp.f64 x) a) (+.f64 1 (pow.f64 (exp.f64 x) a)) 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))
(log.f64 (+.f64 1 (expm1.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))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))

eval725.0ms (11.8%)

Compiler: Compiled 29472 to 16415 computations (44.3% saved)

prune148.0ms (2.4%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	710	3	713
Fresh	0	0	0
Picked	1	0	1
Done	1	7	8
Total	712	10	722

Error

0.0b

Counts

722 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.3b	(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/6) 4)
▶	40.2b	(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 1/6) 18)
✓	0.8b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
▶	39.9b	(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))
✓	22.8b	(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))
✓	53.0b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
✓	22.6b	(*.f64 a x)
✓	0.1b	(expm1.f64 (*.f64 a x))
✓	40.0b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
✓	18.0b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 99 to 70 computations (29.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(expm1.f64 (*.f64 a x))
✓	0.1b	(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))
✓	7.2b	(pow.f64 (expm1.f64 (*.f64 a x)) 5/6)
✓	9.0b	(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)

Compiler

Compiled 38 to 15 computations (60.5% saved)

series11.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
1.0ms	a	@	0	(pow.f64 (expm1.f64 (*.f64 a x)) 5/6)
1.0ms	x	@	0	(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
1.0ms	x	@	0	(pow.f64 (expm1.f64 (*.f64 a x)) 5/6)
1.0ms	a	@	inf	(pow.f64 (expm1.f64 (*.f64 a x)) 5/6)

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`pow1_binary64`
769×	`add-log-exp_binary64`
769×	`log1p-expm1-u_binary64`
769×	`expm1-log1p-u_binary64`
751×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	212	24
2	2170	24

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

Inputs
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 5/6)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/12) (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/6 (log.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)) (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 2)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/12) (pow.f64 (expm1.f64 (*.f64 a x)) 5/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 5/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 5/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 5/6) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2) 5/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 5/6) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 5/6 (log.f64 (expm1.f64 (*.f64 a x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))))))

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

simplify92.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

453×	`distribute-rgt-in_binary64`
437×	`distribute-lft-in_binary64`
359×	`associate-+l+_binary64`
339×	`unswap-sqr_binary64`
328×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	259	2351
1	775	2179
2	2825	1862
3	7195	1796

Stop Event

1×	node limit

Counts

122 → 136

Calls

Call 1

Inputs
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x))))))
(+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 (pow.f64 a 3) (.f64 (+.f64 (.f64 1/36 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (+.f64 (.f64 1/144 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (.f64 1/10368 (pow.f64 x 3)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))))) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))
(+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))))
(+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/288 (pow.f64 a 2))))) (+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))))
(+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/288 (pow.f64 a 2))))) (+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (+.f64 (.f64 (+.f64 (.f64 1/144 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (+.f64 (.f64 1/36 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (.f64 1/10368 (pow.f64 a 3)))) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 x 3))) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 5/12 (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 a) (log.f64 x)))) (*.f64 a x))))
(+.f64 (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (+.f64 (.f64 25/288 (pow.f64 x 2)) (.f64 5/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))))) (+.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 5/12 (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 a x)))))
(+.f64 (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (+.f64 (.f64 25/288 (pow.f64 x 2)) (.f64 5/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))))) (+.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 5/12 (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 a x))) (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 3) (+.f64 (.f64 125/10368 (pow.f64 x 3)) (+.f64 (.f64 5/36 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (.f64 25/144 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 2))) x)))))))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 x) (log.f64 a))))
(+.f64 (.f64 5/12 (.f64 a (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (exp.f64 (*.f64 5/6 (+.f64 (log.f64 x) (log.f64 a)))))
(+.f64 (.f64 5/12 (.f64 a (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (+.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 25/288 (pow.f64 a 2)) (.f64 5/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 x 2)))))
(+.f64 (.f64 5/12 (.f64 a (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (+.f64 (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 5/36 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (+.f64 (.f64 25/144 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 125/10368 (pow.f64 a 3)))) (pow.f64 x 3))) (+.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 25/288 (pow.f64 a 2)) (.f64 5/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 (exp.f64 (*.f64 5/6 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 x 2))))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(*.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 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)) 1)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 1)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1/6))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1/6))
(.f64 (pow.f64 1 1/6) (pow.f64 (expm1.f64 (.f64 a x)) 1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/6) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6))
(sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(exp.f64 (.f64 1/6 (log.f64 (expm1.f64 (.f64 a x)))))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)) 1)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) 1)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 5/6))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6)) (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 2)))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) 2)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/12) (pow.f64 (expm1.f64 (*.f64 a x)) 5/12))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 5/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 5/6))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) 5/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 5/6))
(.f64 (pow.f64 1 5/6) (pow.f64 (expm1.f64 (.f64 a x)) 5/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 5/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 5/6))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 5/6) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 5/6))
(sqrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 2))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 3))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))
(exp.f64 (.f64 5/6 (log.f64 (expm1.f64 (.f64 a x)))))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(-.f64 (pow.f64 (exp.f64 a) x) 1)
(/.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)
(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))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) 3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3)))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))

Outputs
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 a) (log.f64 x))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))
(*.f64 (pow.f64 a 1/6) (pow.f64 x 1/6))
(pow.f64 (*.f64 a x) 1/6)
(+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))
(fma.f64 (.f64 a 1/12) (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))
(.f64 (+.f64 (.f64 (.f64 a 1/12) x) 1) (.f64 (pow.f64 a 1/6) (pow.f64 x 1/6)))
(.f64 (+.f64 (.f64 (.f64 a 1/12) x) 1) (pow.f64 (.f64 a x) 1/6))
(+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/12 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/288))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (.f64 (+.f64 (.f64 a (.f64 a (fma.f64 (.f64 x x) 1/288 (.f64 (.f64 x x) 1/144)))) 1) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))))
(.f64 (.f64 (pow.f64 a 1/6) (pow.f64 x 1/6)) (+.f64 (.f64 (.f64 a 1/12) x) (+.f64 1 (.f64 a (.f64 a (.f64 (.f64 x x) 1/96))))))
(.f64 (pow.f64 (.f64 a x) 1/6) (+.f64 (.f64 (.f64 a 1/12) x) (+.f64 1 (.f64 a (.f64 a (.f64 (.f64 x x) 1/96))))))
(+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 1/288 (pow.f64 x 2))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (.f64 (pow.f64 a 3) (.f64 (+.f64 (.f64 1/36 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (+.f64 (.f64 1/144 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)) (.f64 1/10368 (pow.f64 x 3)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))))) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 a) (log.f64 x)))))))
(fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (.f64 a a) (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/12 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 1/288))) (fma.f64 (pow.f64 a 3) (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 1/36 (.f64 (pow.f64 x 3) 0) (fma.f64 1/144 (.f64 x (.f64 (.f64 x x) 1/12)) (.f64 (pow.f64 x 3) 1/10368)))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))))
(+.f64 (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 a (.f64 a (fma.f64 (.f64 x x) 1/288 (.f64 (.f64 x x) 1/144)))) (.f64 (pow.f64 a 3) (+.f64 0 (fma.f64 1/144 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 3) 1/10368)))))) (fma.f64 (.f64 a 1/12) (*.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 a 1/12) x) 1) (.f64 (pow.f64 a 1/6) (pow.f64 x 1/6))) (.f64 (.f64 (pow.f64 a 1/6) (pow.f64 x 1/6)) (.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) 1/96) (.f64 a (fma.f64 1/144 (.f64 (pow.f64 x 3) 1/12) (*.f64 (pow.f64 x 3) 1/10368)))))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 a 1/12) x) 1) (pow.f64 (.f64 a x) 1/6)) (.f64 (pow.f64 (.f64 a x) 1/6) (.f64 (.f64 a a) (+.f64 (.f64 (.f64 x x) 1/96) (.f64 a (fma.f64 1/144 (.f64 (pow.f64 x 3) 1/12) (*.f64 (pow.f64 x 3) 1/10368)))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))
(*.f64 (pow.f64 a 1/6) (pow.f64 x 1/6))
(pow.f64 (*.f64 a x) 1/6)
(+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))))
(fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))
(fma.f64 (.f64 a 1/12) (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))
(.f64 (+.f64 (.f64 (.f64 a 1/12) x) 1) (.f64 (pow.f64 a 1/6) (pow.f64 x 1/6)))
(.f64 (+.f64 (.f64 (.f64 a 1/12) x) 1) (pow.f64 (.f64 a x) 1/6))
(+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/288 (pow.f64 a 2))))) (+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a))))))
(fma.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 (.f64 a a) 1/288 (.f64 (.f64 a a) 1/144))) (fma.f64 (.f64 a 1/12) (*.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 (pow.f64 a 1/6) (pow.f64 x 1/6)) (.f64 (.f64 (pow.f64 a 1/6) (pow.f64 x 1/6)) (+.f64 (.f64 (.f64 a 1/12) x) (.f64 x (.f64 x (.f64 (*.f64 a a) 1/96))))))
(+.f64 (pow.f64 (.f64 a x) 1/6) (.f64 (pow.f64 (.f64 a x) 1/6) (+.f64 (.f64 (.f64 a 1/12) x) (.f64 x (.f64 x (.f64 (*.f64 a a) 1/96))))))
(+.f64 (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (.f64 1/288 (pow.f64 a 2))))) (+.f64 (.f64 1/12 (.f64 a (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (+.f64 (.f64 (+.f64 (.f64 1/144 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (+.f64 (.f64 1/36 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (.f64 1/10368 (pow.f64 a 3)))) (.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 x 3))) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 x) (log.f64 a)))))))
(fma.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 1/12 (.f64 (.f64 a a) 1/12) (.f64 (.f64 a a) 1/288))) (fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (fma.f64 1/144 (.f64 a (.f64 (.f64 a a) 1/12)) (fma.f64 1/36 (.f64 (pow.f64 a 3) 0) (.f64 (pow.f64 a 3) 1/10368))) (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (pow.f64 x 3)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 x x) (fma.f64 (.f64 a a) 1/288 (.f64 (.f64 a a) 1/144))) (fma.f64 1/12 (.f64 a (.f64 x (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))) (fma.f64 (fma.f64 1/144 (.f64 (pow.f64 a 3) 1/12) (fma.f64 (pow.f64 a 3) 1/10368 0)) (*.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))) (pow.f64 x 3)) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 a) (log.f64 x))))))
(+.f64 (.f64 (+.f64 (.f64 (fma.f64 1/144 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/10368)) (pow.f64 x 3)) 1) (.f64 (pow.f64 a 1/6) (pow.f64 x 1/6))) (.f64 (.f64 (pow.f64 a 1/6) (pow.f64 x 1/6)) (+.f64 (.f64 (.f64 a 1/12) x) (.f64 x (.f64 x (.f64 (*.f64 a a) 1/96))))))
(+.f64 (.f64 (+.f64 (.f64 (fma.f64 1/144 (.f64 (pow.f64 a 3) 1/12) (.f64 (pow.f64 a 3) 1/10368)) (pow.f64 x 3)) 1) (pow.f64 (.f64 a x) 1/6)) (.f64 (pow.f64 (.f64 a x) 1/6) (+.f64 (.f64 (.f64 a 1/12) x) (.f64 x (.f64 x (.f64 (*.f64 a a) 1/96))))))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 a) (log.f64 x))))
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x)))
(*.f64 (pow.f64 a 5/6) (pow.f64 x 5/6))
(pow.f64 (*.f64 a x) 5/6)
(+.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 5/12 (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 a) (log.f64 x)))) (*.f64 a x))))
(+.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 5/12 (.f64 (*.f64 a x) (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 5/12 (.f64 (.f64 a x) (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x))))
(.f64 (+.f64 (.f64 (.f64 a 5/12) x) 1) (.f64 (pow.f64 a 5/6) (pow.f64 x 5/6)))
(.f64 (+.f64 (.f64 (.f64 a 5/12) x) 1) (pow.f64 (.f64 a x) 5/6))
(+.f64 (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (+.f64 (.f64 25/288 (pow.f64 x 2)) (.f64 5/12 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))))))) (+.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 5/12 (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 a x)))))
(fma.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 a a) (fma.f64 25/288 (.f64 x x) (.f64 (.f64 (.f64 x x) 1/12) 5/12))) (+.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 5/12 (.f64 (*.f64 a x) (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x)))))))
(+.f64 (.f64 (.f64 a x) (.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x))) 5/12)) (.f64 (+.f64 (.f64 (.f64 a a) (fma.f64 (.f64 x x) 25/288 (.f64 (*.f64 x x) 5/144))) 1) (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x)))))
(.f64 (.f64 (pow.f64 a 5/6) (pow.f64 x 5/6)) (+.f64 (.f64 (.f64 a 5/12) x) (+.f64 1 (.f64 a (.f64 a (.f64 (.f64 x x) 35/288))))))
(.f64 (pow.f64 (.f64 a x) 5/6) (+.f64 (.f64 (.f64 a 5/12) x) (+.f64 1 (.f64 a (.f64 a (.f64 (.f64 x x) 35/288))))))
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(fma.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (.f64 a a) (fma.f64 25/288 (.f64 x x) (.f64 (.f64 (.f64 x x) 1/12) 5/12))) (+.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 5/12 (.f64 (.f64 a x) (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 (pow.f64 a 3) (fma.f64 125/10368 (pow.f64 x 3) (fma.f64 5/36 (.f64 (pow.f64 x 3) 0) (.f64 (.f64 25/144 (.f64 (*.f64 x x) 1/12)) x))))))))
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(+.f64 (.f64 (.f64 (pow.f64 a 5/6) (pow.f64 x 5/6)) (+.f64 (.f64 (.f64 a 5/12) x) (+.f64 1 (.f64 a (.f64 a (.f64 (.f64 x x) 35/288)))))) (.f64 (pow.f64 a 3) (.f64 (fma.f64 (pow.f64 x 3) 125/10368 (.f64 (.f64 (pow.f64 x 3) 1/12) 25/144)) (*.f64 (pow.f64 a 5/6) (pow.f64 x 5/6)))))
(+.f64 (.f64 (pow.f64 (.f64 a x) 5/6) (+.f64 (.f64 (.f64 a 5/12) x) (+.f64 1 (.f64 a (.f64 a (.f64 (.f64 x x) 35/288)))))) (.f64 (pow.f64 a 3) (.f64 (fma.f64 (pow.f64 x 3) 125/10368 (.f64 (.f64 (pow.f64 x 3) 1/12) 25/144)) (pow.f64 (*.f64 a x) 5/6))))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5) 1/6)
(exp.f64 (*.f64 5/6 (+.f64 (log.f64 x) (log.f64 a))))
(pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x)))
(*.f64 (pow.f64 a 5/6) (pow.f64 x 5/6))
(pow.f64 (*.f64 a x) 5/6)
(+.f64 (.f64 5/12 (.f64 a (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (exp.f64 (*.f64 5/6 (+.f64 (log.f64 x) (log.f64 a)))))
(+.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x))) (.f64 5/12 (.f64 (*.f64 a x) (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 5/12 (.f64 (.f64 a x) (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x))))
(.f64 (+.f64 (.f64 (.f64 a 5/12) x) 1) (.f64 (pow.f64 a 5/6) (pow.f64 x 5/6)))
(.f64 (+.f64 (.f64 (.f64 a 5/12) x) 1) (pow.f64 (.f64 a x) 5/6))
(+.f64 (.f64 5/12 (.f64 a (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 x) (log.f64 a)))) x))) (+.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 25/288 (pow.f64 a 2)) (.f64 5/12 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (.f64 (exp.f64 (.f64 5/6 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 x 2)))))
(+.f64 (fma.f64 5/12 (.f64 a (.f64 x (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x))))) (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (fma.f64 25/288 (.f64 a a) (.f64 (.f64 (.f64 a a) 1/12) 5/12)) (.f64 (*.f64 x x) (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x))))))
(fma.f64 5/12 (.f64 (.f64 a x) (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x)))) (fma.f64 (.f64 (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x))) (fma.f64 (.f64 a a) 25/288 (.f64 (.f64 a a) 5/144))) (*.f64 x x) (pow.f64 (exp.f64 5/6) (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 (pow.f64 a 5/6) (pow.f64 x 5/6)) (.f64 (.f64 (pow.f64 a 5/6) (pow.f64 x 5/6)) (+.f64 (.f64 (.f64 (.f64 a a) 35/288) (.f64 x x)) (.f64 (*.f64 a 5/12) x))))
(+.f64 (pow.f64 (.f64 a x) 5/6) (.f64 (pow.f64 (.f64 a x) 5/6) (+.f64 (.f64 (.f64 (.f64 a a) 35/288) (.f64 x x)) (.f64 (*.f64 a 5/12) x))))
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(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5) 1/6)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5) 1/6)
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(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
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(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 5) 1/6)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5) 1/6)
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(fma.f64 a x (.f64 (.f64 a a) (.f64 (.f64 x x) 1/2)))
(.f64 x (+.f64 a (.f64 (.f64 (.f64 a a) 1/2) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (.f64 (*.f64 1/6 (pow.f64 x 3)) (pow.f64 a 3))))
(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 a x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
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(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x 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 1/2 (.f64 x (.f64 x (.f64 a a))) (fma.f64 a x (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 (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 (.f64 a a) (.f64 (.f64 x x) 1/2)))
(.f64 x (+.f64 a (.f64 (.f64 (.f64 a a) 1/2) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (fma.f64 a x (.f64 (*.f64 1/6 (pow.f64 x 3)) (pow.f64 a 3))))
(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 a x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
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(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x 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 1/2 (.f64 x (.f64 x (.f64 a a))) (fma.f64 a x (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (.f64 (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 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 1/6))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/12) (pow.f64 (expm1.f64 (*.f64 a x)) 1/12))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1/6))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1/6))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1/6))
(.f64 (pow.f64 1 1/6) (pow.f64 (expm1.f64 (.f64 a x)) 1/6))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/6))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 1/6) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6))
(cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(sqrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(exp.f64 (.f64 1/6 (log.f64 (expm1.f64 (.f64 a x)))))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/6)
(-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)) 1)
(+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1))
(+.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 0)
(pow.f64 (expm1.f64 (*.f64 a x)) 5/6)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) 1)
(+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1))
(+.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 0)
(pow.f64 (expm1.f64 (*.f64 a x)) 5/6)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 5/6))
(+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1))
(+.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 0)
(pow.f64 (expm1.f64 (*.f64 a x)) 5/6)
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6)) (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 2)))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) 2)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6)) (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 2)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/12) (pow.f64 (expm1.f64 (*.f64 a x)) 5/12))
(+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1))
(+.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 0)
(pow.f64 (expm1.f64 (*.f64 a x)) 5/6)
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 5/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 5/6))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) 5/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 5/6))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 5/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 5/6))
(.f64 (pow.f64 1 5/6) (pow.f64 (expm1.f64 (.f64 a x)) 5/6))
(+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1))
(+.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 0)
(pow.f64 (expm1.f64 (*.f64 a x)) 5/6)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 5/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 5/6))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 5/6) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 5/6))
(sqrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 2))
(+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1))
(+.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 0)
(pow.f64 (expm1.f64 (*.f64 a x)) 5/6)
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))
(+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1))
(+.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 0)
(pow.f64 (expm1.f64 (*.f64 a x)) 5/6)
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 3))
(+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1))
(+.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 0)
(pow.f64 (expm1.f64 (*.f64 a x)) 5/6)
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))
(+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1))
(+.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 0)
(pow.f64 (expm1.f64 (*.f64 a x)) 5/6)
(exp.f64 (.f64 5/6 (log.f64 (expm1.f64 (.f64 a x)))))
(+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1))
(+.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 0)
(pow.f64 (expm1.f64 (*.f64 a x)) 5/6)
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6)))
(+.f64 1 (-.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 1))
(+.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 0)
(pow.f64 (expm1.f64 (*.f64 a x)) 5/6)
(+.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 (-.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 (*.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))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 5/6) 3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 5/6) 3)))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(expm1.f64 (*.f64 x a))
✓	0.6b	(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 1/6) 18)
✓	1.0b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 1/6)
✓	8.7b	(cbrt.f64 (expm1.f64 (*.f64 x a)))

Compiler

Compiled 34 to 13 computations (61.8% saved)

series111.0ms (1.8%)

Counts

4 → 72

Calls

24 calls:

Time	Variable		Point	Expression
20.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 1/6)
17.0ms	x	@	inf	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 1/6)
16.0ms	a	@	inf	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 1/6)
15.0ms	a	@	0	(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 1/6) 18)
14.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 1/6)

rewrite63.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`pow1_binary64`
751×	`add-log-exp_binary64`
751×	`log1p-expm1-u_binary64`
751×	`expm1-log1p-u_binary64`
731×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	210	29
2	2339	29

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

Inputs
(cbrt.f64 (expm1.f64 (*.f64 x a)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 1/6) 18)
(expm1.f64 (*.f64 x a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (expm1.f64 (.f64 x a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (expm1.f64 (.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) (pow.f64 (expm1.f64 (.f64 x a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (expm1.f64 (.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 x a))) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 (.f64 x a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (.f64 x a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (expm1.f64 (.f64 x a)) 1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (expm1.f64 (.f64 x a)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a))))) (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/36) (pow.f64 (expm1.f64 (.f64 x a)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/6) (pow.f64 (expm1.f64 (.f64 x a)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2)) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) 1/6) (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 x) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 x) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 (.f64 x a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (expm1.f64 (.f64 x a))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (expm1.f64 (.f64 x a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (cbrt.f64 (expm1.f64 (.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (expm1.f64 (.f64 x a))) (sqrt.f64 (expm1.f64 (.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2)) 3) (cbrt.f64 (expm1.f64 (.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a))))) 18) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18)) 18))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/36) 18) (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/36) 18))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) 1) (cbrt.f64 (expm1.f64 (.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (pow.f64 (expm1.f64 (.f64 x a)) 1/6)) (pow.f64 (expm1.f64 (.f64 x a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) (+.f64 1 (.f64 (pow.f64 (exp.f64 x) a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (.f64 x a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 x) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 x) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 (.f64 x a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (expm1.f64 (.f64 x a))) (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (expm1.f64 (.f64 x a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (cbrt.f64 (expm1.f64 (.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (expm1.f64 (.f64 x a))) (sqrt.f64 (expm1.f64 (.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2)) 3) (cbrt.f64 (expm1.f64 (.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a))))) 18) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18)) 18))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/36) 18) (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/36) 18))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) 1) (cbrt.f64 (expm1.f64 (.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (pow.f64 (expm1.f64 (.f64 x a)) 1/6)) (pow.f64 (expm1.f64 (.f64 x a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) (+.f64 1 (.f64 (pow.f64 (exp.f64 x) a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (.f64 x a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) 18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a)))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (.f64 x a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 x a))))))))

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

868×	`times-frac_binary64`
464×	`log-prod_binary64`
347×	`exp-prod_binary64`
325×	`sqr-pow_binary64`
271×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1430
1	361	1415
2	1262	1411
3	4261	1411

Stop Event

1×	node limit

Counts

154 → 94

Calls

Call 1

Inputs
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(*.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 (+.f64 1 (cbrt.f64 (expm1.f64 (*.f64 x a)))) 1)
(.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 1)
(.f64 1 (cbrt.f64 (expm1.f64 (.f64 x a))))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) (pow.f64 (expm1.f64 (*.f64 x a)) 1/6))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (expm1.f64 (.f64 x a))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 x a))) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))) 1/3))
(pow.f64 (expm1.f64 (*.f64 x a)) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18)) 1)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) 1)
(.f64 1 (pow.f64 (expm1.f64 (.f64 x a)) 1/18))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18)))
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/36) (pow.f64 (expm1.f64 (*.f64 x a)) 1/36))
(.f64 (pow.f64 1 1/6) (pow.f64 (expm1.f64 (.f64 x a)) 1/18))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2)) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))) 1/6))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/6) 1/6))
(sqrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18)))
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18) 3))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18)))
(exp.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18)))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18)))
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(-.f64 (pow.f64 (exp.f64 x) a) 1)
(.f64 (expm1.f64 (.f64 x a)) 1)
(.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2))
(.f64 1 (expm1.f64 (.f64 x a)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (cbrt.f64 (expm1.f64 (*.f64 x a))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x a))) (sqrt.f64 (expm1.f64 (*.f64 x a))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2)) 3) (cbrt.f64 (expm1.f64 (*.f64 x a))))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/6) 3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a))))) 18) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18)) 18))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/36) 18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/36) 18))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) 1) (cbrt.f64 (expm1.f64 (.f64 x a))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (pow.f64 (expm1.f64 (.f64 x a)) 1/6)) (pow.f64 (expm1.f64 (*.f64 x a)) 1/6))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) (+.f64 1 (.f64 (pow.f64 (exp.f64 x) a) 1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 x a))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(expm1.f64 (*.f64 x a))
(exp.f64 (log.f64 (expm1.f64 (*.f64 x a))))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 x a))))
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(-.f64 (pow.f64 (exp.f64 x) a) 1)
(.f64 (expm1.f64 (.f64 x a)) 1)
(.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2))
(.f64 1 (expm1.f64 (.f64 x a)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (cbrt.f64 (expm1.f64 (*.f64 x a))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x a))) (sqrt.f64 (expm1.f64 (*.f64 x a))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2)) 3) (cbrt.f64 (expm1.f64 (*.f64 x a))))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/6) 3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a))))) 18) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18)) 18))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/36) 18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/36) 18))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) 1) (cbrt.f64 (expm1.f64 (.f64 x a))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (pow.f64 (expm1.f64 (.f64 x a)) 1/6)) (pow.f64 (expm1.f64 (*.f64 x a)) 1/6))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) (+.f64 1 (.f64 (pow.f64 (exp.f64 x) a) 1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))
(pow.f64 (expm1.f64 (*.f64 x a)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18) 18)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))) 9)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 x a))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(exp.f64 (log.f64 (expm1.f64 (*.f64 x a))))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 x a))))

Outputs
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/6) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 1 1/3) (-.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 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a 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 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (*.f64 a x)))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 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 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x 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 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 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (fma.f64 a x (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(fma.f64 1/2 (.f64 (.f64 a a) (.f64 x x)) (.f64 a x))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (.f64 a 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 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (*.f64 a x)))
(fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 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 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 a (.f64 a (.f64 x 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 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 1/2 (.f64 a (.f64 a (.f64 x x))) (fma.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)) (fma.f64 a x (.f64 1/24 (.f64 (pow.f64 a 4) (pow.f64 x 4))))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (+.f64 1 (cbrt.f64 (expm1.f64 (*.f64 x a)))) 1)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 1)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 1 (cbrt.f64 (expm1.f64 (.f64 x a))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2)))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) (pow.f64 (expm1.f64 (*.f64 x a)) 1/6))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (expm1.f64 (.f64 x a))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 x a))) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))) 1/3))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (expm1.f64 (*.f64 x a)) 1/3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 1)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))) 3)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/6) 2)
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(cbrt.f64 (expm1.f64 (*.f64 a x)))
(-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18)) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18) 1)
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 1 (pow.f64 (expm1.f64 (.f64 x a)) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/18)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18)))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/18)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/36) (pow.f64 (expm1.f64 (*.f64 x a)) 1/36))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 1 1/6) (pow.f64 (expm1.f64 (.f64 x a)) 1/18))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2)) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))) 1/6))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2)) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 1/6))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/6) 1/6))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6) 1/6))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/6))
(sqrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(sqrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18) 3))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(exp.f64 (log.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18)))
(pow.f64 (expm1.f64 (*.f64 a x)) 1/18)
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 x) a) 1)
(expm1.f64 (*.f64 a x))
(.f64 (expm1.f64 (.f64 x a)) 1)
(expm1.f64 (*.f64 a x))
(.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2))
(expm1.f64 (*.f64 a x))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (cbrt.f64 (expm1.f64 (*.f64 x a))))
(expm1.f64 (*.f64 a x))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x a))) (sqrt.f64 (expm1.f64 (*.f64 x a))))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2)) 3) (cbrt.f64 (expm1.f64 (*.f64 x a))))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/6) 3))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a))))) 18) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18)) 18))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 18) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/18)) 18))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/36) 18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/36) 18))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/36) 36)
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) 1) (cbrt.f64 (expm1.f64 (.f64 x a))))
(expm1.f64 (*.f64 a x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(expm1.f64 (*.f64 a x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (pow.f64 (expm1.f64 (.f64 x a)) 1/6)) (pow.f64 (expm1.f64 (*.f64 x a)) 1/6))
(expm1.f64 (*.f64 a x))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) (+.f64 1 (.f64 (pow.f64 (exp.f64 x) a) 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1) (+.f64 (pow.f64 (exp.f64 x) (*.f64 2 a)) (+.f64 1 (pow.f64 (exp.f64 x) a))))
(/.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 x) (*.f64 a 2)))))
(/.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 2 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))
(expm1.f64 (*.f64 a x))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 2))
(expm1.f64 (*.f64 a x))
(log.f64 (exp.f64 (expm1.f64 (*.f64 x a))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 x a))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 x a))))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 x a))))
(expm1.f64 (*.f64 a x))
(+.f64 (pow.f64 (exp.f64 x) a) -1)
(expm1.f64 (*.f64 a x))
(-.f64 (pow.f64 (exp.f64 x) a) 1)
(expm1.f64 (*.f64 a x))
(.f64 (expm1.f64 (.f64 x a)) 1)
(expm1.f64 (*.f64 a x))
(.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 2))
(expm1.f64 (*.f64 a x))
(.f64 1 (expm1.f64 (.f64 x a)))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (cbrt.f64 (expm1.f64 (*.f64 x a))))
(expm1.f64 (*.f64 a x))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x a))) (sqrt.f64 (expm1.f64 (*.f64 x a))))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2)) 3) (cbrt.f64 (expm1.f64 (*.f64 x a))))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) 3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/6) 3))
(expm1.f64 (*.f64 a x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 x a))))) 18) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18)) 18))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x))))) 18) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/18)) 18))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/36) 18) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/36) 18))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/36) 36)
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) 1) (cbrt.f64 (expm1.f64 (.f64 x a))))
(expm1.f64 (*.f64 a x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))))
(expm1.f64 (*.f64 a x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (pow.f64 (expm1.f64 (.f64 x a)) 1/6)) (pow.f64 (expm1.f64 (*.f64 x a)) 1/6))
(expm1.f64 (*.f64 a x))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) (+.f64 1 (.f64 (pow.f64 (exp.f64 x) a) 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) 3) -1) (+.f64 (pow.f64 (exp.f64 x) (*.f64 2 a)) (+.f64 1 (pow.f64 (exp.f64 x) a))))
(/.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 x) (*.f64 a 2)))))
(/.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 2 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 x) a)) 1) (+.f64 (pow.f64 (exp.f64 x) a) 1))
(expm1.f64 (*.f64 a x))
(pow.f64 (expm1.f64 (*.f64 x a)) 1)
(expm1.f64 (*.f64 a x))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 3)
(expm1.f64 (*.f64 a x))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/18) 18)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/18) 18)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3) 1/3)
(expm1.f64 (*.f64 a x))
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x a)))) 9)
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 9)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))) 2)
(expm1.f64 (*.f64 a x))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 2))
(expm1.f64 (*.f64 a x))
(log.f64 (exp.f64 (expm1.f64 (*.f64 x a))))
(expm1.f64 (*.f64 a x))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 x a))))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 x a))))
(expm1.f64 (*.f64 a x))

localize52.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(expm1.f64 (*.f64 a x))
✓	0.2b	(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/6) 4)
✓	4.3b	(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
✓	9.5b	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/6)

Compiler

Compiled 38 to 19 computations (50% saved)

series176.0ms (2.9%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
58.0ms	a	@	inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/6)
41.0ms	x	@	inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/6)
29.0ms	x	@	0	(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/6) 4)
18.0ms	x	@	-inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/6)
17.0ms	a	@	-inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/6)

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`pow1_binary64`
818×	`add-log-exp_binary64`
818×	`log1p-expm1-u_binary64`
818×	`expm1-log1p-u_binary64`
796×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	240	24
2	2640	24

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/6)
(pow.f64 (expm1.f64 (*.f64 a x)) 3/2)
(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/6) 4)

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

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

simplify141.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

646×	`associate-+l+_binary64`
620×	`associate-+r+_binary64`
370×	`associate-r_binary64`
327×	`associate-l_binary64`
326×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	342	4294971115
1	1093	3541
2	4126	2450
3	7759	2441

Stop Event

1×	node limit

Counts

125 → 152

Calls

Call 1

Inputs
(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 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/128 (pow.f64 x 2)) (.f64 1/12 (+.f64 (.f64 2 (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 9/32 (pow.f64 x 2)))) (.f64 -9/16 (pow.f64 x 2))))))) (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 a x)))))
(+.f64 (.f64 (+.f64 (.f64 1/96 (.f64 (+.f64 (.f64 2 (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 9/32 (pow.f64 x 2)))) (.f64 -9/16 (pow.f64 x 2))) x)) (+.f64 (.f64 1/36 (+.f64 (.f64 6 (+.f64 (.f64 9/128 (pow.f64 x 3)) (+.f64 (.f64 1/4 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 3)))) (.f64 9/16 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x))))) (+.f64 (.f64 27/32 (pow.f64 x 3)) (.f64 -9/2 (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 9/32 (pow.f64 x 2))) x))))) (.f64 1/3072 (pow.f64 x 3)))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (pow.f64 a 3))) (+.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 (pow.f64 a 2) (+.f64 (.f64 1/128 (pow.f64 x 2)) (.f64 1/12 (+.f64 (.f64 2 (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 9/32 (pow.f64 x 2)))) (.f64 -9/16 (pow.f64 x 2))))))) (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 a x))))))
(.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/4))
(.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/4))
(.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/4))
(.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/4))
(.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/4))
(.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/4))
(.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/4))
(.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/4))
(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 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (+.f64 (.f64 1/128 (pow.f64 a 2)) (.f64 1/12 (+.f64 (.f64 -9/16 (pow.f64 a 2)) (.f64 2 (+.f64 (.f64 9/32 (pow.f64 a 2)) (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))))) (pow.f64 x 2))) (+.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 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (+.f64 (.f64 1/128 (pow.f64 a 2)) (.f64 1/12 (+.f64 (.f64 -9/16 (pow.f64 a 2)) (.f64 2 (+.f64 (.f64 9/32 (pow.f64 a 2)) (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))))) (pow.f64 x 2))) (+.f64 (.f64 (+.f64 (.f64 1/96 (.f64 (+.f64 (.f64 -9/16 (pow.f64 a 2)) (.f64 2 (+.f64 (.f64 9/32 (pow.f64 a 2)) (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) a)) (+.f64 (.f64 1/36 (+.f64 (.f64 -9/2 (.f64 a (+.f64 (.f64 9/32 (pow.f64 a 2)) (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (+.f64 (.f64 27/32 (pow.f64 a 3)) (.f64 6 (+.f64 (.f64 9/128 (pow.f64 a 3)) (+.f64 (.f64 1/4 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (.f64 9/16 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))))))) (.f64 1/3072 (pow.f64 a 3)))) (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) (pow.f64 x 3))) (+.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 (pow.f64 1 1/3) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/4))
(.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/4))
(.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/4))
(.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/4))
(.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/4))
(.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/4))
(.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/4))
(.f64 (pow.f64 1 1/3) (pow.f64 (-.f64 (exp.f64 (.f64 a x)) 1) 1/4))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (.f64 3/4 (.f64 a (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) x))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))))
(+.f64 (.f64 3/4 (.f64 a (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 9/32 (pow.f64 x 2)))))))
(+.f64 (.f64 3/4 (.f64 a (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) x))) (+.f64 (.f64 (+.f64 (.f64 1/4 (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 3)))) (+.f64 (.f64 9/128 (pow.f64 x 3)) (.f64 9/16 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x)))) (.f64 (pow.f64 a 3) (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) (.f64 (pow.f64 a 2) (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 a) (log.f64 x)))) (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (*.f64 9/32 (pow.f64 x 2))))))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 x) (log.f64 a))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 3/4 (.f64 a (.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) x))))
(+.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 9/32 (pow.f64 a 2)) (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 3/4 (.f64 a (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) x)))))
(+.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (+.f64 (.f64 9/32 (pow.f64 a 2)) (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))) (pow.f64 x 2))) (+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 3/4 (.f64 a (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) x))) (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 9/128 (pow.f64 a 3)) (+.f64 (.f64 1/4 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (.f64 9/16 (.f64 a (+.f64 (.f64 -1/4 (pow.f64 a 2)) (*.f64 1/3 (pow.f64 a 2))))))))))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 a x)) 1) 3))
(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 x 2))) (.f64 2 (.f64 (+.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 1/128 (pow.f64 x 2)) (.f64 1/12 (+.f64 (.f64 2 (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 9/32 (pow.f64 x 2)))) (.f64 -9/16 (pow.f64 x 2)))))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (pow.f64 a 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 x 2))) (.f64 2 (.f64 (+.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 1/128 (pow.f64 x 2)) (.f64 1/12 (+.f64 (.f64 2 (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 9/32 (pow.f64 x 2)))) (.f64 -9/16 (pow.f64 x 2)))))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2)))) (pow.f64 a 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 (pow.f64 a 3) (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/96 (.f64 (+.f64 (.f64 2 (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 9/32 (pow.f64 x 2)))) (.f64 -9/16 (pow.f64 x 2))) x)) (+.f64 (.f64 1/36 (+.f64 (.f64 6 (+.f64 (.f64 9/128 (pow.f64 x 3)) (+.f64 (.f64 1/4 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 3)))) (.f64 9/16 (.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2))) x))))) (+.f64 (.f64 27/32 (pow.f64 x 3)) (.f64 -9/2 (.f64 (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 9/32 (pow.f64 x 2))) x))))) (.f64 1/3072 (pow.f64 x 3)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2))) (.f64 1/4 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) (.f64 (+.f64 (.f64 1/128 (pow.f64 x 2)) (.f64 1/12 (+.f64 (.f64 2 (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 9/32 (pow.f64 x 2)))) (.f64 -9/16 (pow.f64 x 2))))) x)))))) (.f64 1/2 (.f64 (+.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 1/128 (pow.f64 x 2)) (.f64 1/12 (+.f64 (.f64 2 (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 9/32 (pow.f64 x 2)))) (.f64 -9/16 (pow.f64 x 2)))))))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 2) x))))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) 4))))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(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 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4) (+.f64 (.f64 1/2 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4) x))) (.f64 (+.f64 (.f64 2 (.f64 (+.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 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/128 (pow.f64 a 2)) (.f64 1/12 (+.f64 (.f64 -9/16 (pow.f64 a 2)) (.f64 2 (+.f64 (.f64 9/32 (pow.f64 a 2)) (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))))))))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 1/16 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4)))) (pow.f64 x 2))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/96 (.f64 (+.f64 (.f64 -9/16 (pow.f64 a 2)) (.f64 2 (+.f64 (.f64 9/32 (pow.f64 a 2)) (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) a)) (+.f64 (.f64 1/36 (+.f64 (.f64 -9/2 (.f64 a (+.f64 (.f64 9/32 (pow.f64 a 2)) (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))) (+.f64 (.f64 27/32 (pow.f64 a 3)) (.f64 6 (+.f64 (.f64 9/128 (pow.f64 a 3)) (+.f64 (.f64 1/4 (+.f64 (.f64 1/2 (pow.f64 a 3)) (.f64 -1/2 (pow.f64 a 3)))) (.f64 9/16 (.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))) (.f64 1/4 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/128 (pow.f64 a 2)) (.f64 1/12 (+.f64 (.f64 -9/16 (pow.f64 a 2)) (.f64 2 (+.f64 (.f64 9/32 (pow.f64 a 2)) (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2))))))))))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 1/2 (.f64 (+.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 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/128 (pow.f64 a 2)) (.f64 1/12 (+.f64 (.f64 -9/16 (pow.f64 a 2)) (.f64 2 (+.f64 (.f64 9/32 (pow.f64 a 2)) (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))))))))))) (.f64 a (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2))))) (pow.f64 x 3)) (+.f64 (.f64 1/2 (.f64 a (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4) x))) (.f64 (+.f64 (.f64 2 (.f64 (+.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 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2) (+.f64 (.f64 1/128 (pow.f64 a 2)) (.f64 1/12 (+.f64 (.f64 -9/16 (pow.f64 a 2)) (.f64 2 (+.f64 (.f64 9/32 (pow.f64 a 2)) (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))))))))))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 2))) (.f64 1/16 (.f64 (pow.f64 a 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4)))) (pow.f64 x 2)))))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(-.f64 (+.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 (pow.f64 1 1/4) (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(.f64 (pow.f64 (pow.f64 (cbrt.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))
(.f64 (pow.f64 1 1/6) (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4) 1/6))
(sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(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)))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 1/4))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)) 1)
(.f64 (expm1.f64 (.f64 a x)) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2) 1)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 3/2))
(.f64 (sqrt.f64 (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)) 3/4))
(.f64 (pow.f64 1 3/2) (pow.f64 (expm1.f64 (.f64 a x)) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 3/2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/2))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 3/2) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 3/2))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(exp.f64 (.f64 3/2 (log.f64 (expm1.f64 (.f64 a x)))))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(.f64 (expm1.f64 (.f64 a x)) 1)
(.f64 1 (expm1.f64 (.f64 a x)))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (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 (pow.f64 1 2/3) (expm1.f64 (.f64 a x)))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2/3) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2/3))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4) 2/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4) 2/3))
(.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 (pow.f64 (exp.f64 (.f64 a x)) 3) 1) (+.f64 (.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a x))) (+.f64 1 (.f64 (exp.f64 (.f64 a x)) 1))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a x))) 1) (+.f64 (exp.f64 (.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))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))

Outputs
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 x) (log.f64 a))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a)))
(*.f64 (pow.f64 x 1/4) (pow.f64 a 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))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (.f64 (.f64 1/8 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 x a)))
(fma.f64 (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 1/8) (.f64 x a) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))))
(.f64 (+.f64 (.f64 1/8 (.f64 x a)) 1) (.f64 (pow.f64 x 1/4) (pow.f64 a 1/4)))
(+.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 (pow.f64 a 2) (+.f64 (.f64 1/128 (pow.f64 x 2)) (.f64 1/12 (+.f64 (.f64 2 (+.f64 (.f64 3/4 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (.f64 9/32 (pow.f64 x 2)))) (.f64 -9/16 (pow.f64 x 2))))))) (.f64 1/8 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 a x)))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) (.f64 (.f64 a a) (fma.f64 1/128 (.f64 x x) (.f64 1/12 (fma.f64 2 (fma.f64 3/4 (.f64 (.f64 x x) 1/12) (.f64 (.f64 x x) 9/32)) (.f64 (.f64 x x) -9/16))))) (.f64 (.f64 1/8 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 x a))))
(+.f64 (.f64 a (.f64 (.f64 x (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a)))) 1/8)) (.f64 (+.f64 (.f64 (.f64 a a) (fma.f64 1/128 (.f64 x x) (+.f64 (.f64 (fma.f64 (.f64 x x) 9/32 (.f64 (.f64 x x) 1/16)) 1/6) (.f64 (*.f64 x x) -3/64)))) 1) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a)))))
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(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 a) (log.f64 x)))) 4)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 x) (log.f64 a))) 4)
(*.f64 x a)
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(.f64 (+.f64 (.f64 1/2 (.f64 x a)) 1) (.f64 x a))
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(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)) 1)
(pow.f64 (expm1.f64 (*.f64 x a)) 1/4)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/4) 1)
(pow.f64 (expm1.f64 (*.f64 x a)) 1/4)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(pow.f64 (expm1.f64 (*.f64 x a)) 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 (pow.f64 (expm1.f64 (.f64 x a)) 1/4)) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 x a)))))
(.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 x a)) 1/4)) (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 x a)))))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/8) (pow.f64 (expm1.f64 (*.f64 a x)) 1/8))
(pow.f64 (expm1.f64 (*.f64 x a)) 1/4)
(.f64 (pow.f64 1 1/4) (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(pow.f64 (expm1.f64 (*.f64 x a)) 1/4)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 1/4) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 1/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) 1/4) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 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 (sqrt.f64 (expm1.f64 (*.f64 x a))) 1/2)
(sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))))
(.f64 (pow.f64 1 1/6) (pow.f64 (expm1.f64 (.f64 a x)) 1/4))
(pow.f64 (expm1.f64 (*.f64 x a)) 1/4)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6))
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/6) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))) 1/6))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4) 1/6))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 3/4) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3/4) 1/6))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3/4))
(sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))) 1/2)
(sqrt.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))))
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(pow.f64 (expm1.f64 (*.f64 x a)) 1/4)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 3/4) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3/4) 1/6))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(pow.f64 (expm1.f64 (*.f64 x a)) 1/4)
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) 1/4))
(pow.f64 (expm1.f64 (*.f64 x a)) 1/4)
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/4)))
(pow.f64 (expm1.f64 (*.f64 x a)) 1/4)
(-.f64 (+.f64 1 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)) 1)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/2)
(.f64 (expm1.f64 (.f64 a x)) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/2)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/2) 1)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/2)
(.f64 1 (pow.f64 (expm1.f64 (.f64 a x)) 3/2))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/2)
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (expm1.f64 (*.f64 a x)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/2)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4) (pow.f64 (expm1.f64 (*.f64 a x)) 3/4))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/2)
(.f64 (pow.f64 1 3/2) (pow.f64 (expm1.f64 (.f64 a x)) 3/2))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) 3/2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) 3/2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 3/2))
(.f64 (pow.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) 3/2) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 3/2))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/2)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/2)
(log.f64 (exp.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/2)
(cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 3))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/2)
(expm1.f64 (log1p.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/2)
(exp.f64 (.f64 3/2 (log.f64 (expm1.f64 (.f64 a x)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3))
(pow.f64 (expm1.f64 (*.f64 x a)) 3/2)
(+.f64 (exp.f64 (*.f64 a x)) -1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(.f64 (expm1.f64 (.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(.f64 1 (expm1.f64 (.f64 a x)))
(expm1.f64 (*.f64 x a))
(.f64 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 2))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 a x))) 2) (cbrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 2/3) (expm1.f64 (.f64 a x)))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 2/3) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 2/3))
(.f64 (.f64 (pow.f64 (expm1.f64 (.f64 x a)) 1/3) (pow.f64 (expm1.f64 (.f64 x a)) 1/3)) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x a))) 2/3))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x a))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (*.f64 x a)))) 2))
(.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 a x)) 3/4) 2/3) (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/4) 2/3))
(.f64 (.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 3/4) 1/6) (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 3/4) 1/6)) (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 3/4) 1/6) (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 3/4) 1/6))) (.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 3/4) 1/6) (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 3/4) 1/6)) (.f64 (pow.f64 (pow.f64 (expm1.f64 (.f64 x a)) 3/4) 1/6) (pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3/4) 1/6))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 3/4)) (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 3/4))) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (.f64 x a)) 3/4)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3/4))))
(.f64 (pow.f64 (expm1.f64 (.f64 x a)) 3/4) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3/4)))
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3/4)) 4)
(.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 (cbrt.f64 (sqrt.f64 (expm1.f64 (.f64 x a)))) 4) (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 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 x a))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 a x)) 3) 1) (+.f64 (.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a x))) (+.f64 1 (.f64 (exp.f64 (.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 1 (+.f64 (pow.f64 (exp.f64 a) x) (pow.f64 (exp.f64 a) (*.f64 2 x)))))
(/.f64 (expm1.f64 (.f64 3 (.f64 x a))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) a) (pow.f64 (exp.f64 a) (+.f64 x x)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a x))) 1) (+.f64 (exp.f64 (.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(expm1.f64 (*.f64 x a))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(expm1.f64 (*.f64 x a))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 x a))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))

eval382.0ms (6.2%)

Compiler: Compiled 16233 to 8981 computations (44.7% saved)

prune194.0ms (3.2%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	521	5	526
Fresh	0	0	0
Picked	1	0	1
Done	1	8	9
Total	523	13	536

Error

0.0b

Counts

536 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	38.7b	(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/4) 4)
	40.2b	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/18) 18)
	39.0b	(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3/4)) 4)
✓	0.8b	(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
✓	39.9b	(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))
	22.8b	(.f64 (+.f64 (.f64 1/2 (.f64 x a)) 1) (.f64 x a))
	40.0b	(.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))
✓	22.8b	(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))
✓	53.0b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
✓	22.6b	(*.f64 a x)
✓	0.1b	(expm1.f64 (*.f64 a x))
✓	40.0b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
✓	18.0b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 135 to 93 computations (31.1% saved)

regimes89.0ms (1.5%)

Counts

20 → 1

Calls

Call 1

Inputs
(*.f64 a x)
(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))
(.f64 x (+.f64 a (.f64 (.f64 x (.f64 a a)) 1/2)))
(.f64 (+.f64 (.f64 1/2 (.f64 x a)) 1) (.f64 x a))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(fma.f64 a x (.f64 1/2 (.f64 (.f64 a x) (.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 1/18) 18)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 1/4) 4)
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x a)) 3/4)) 4)
(pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x a))) 1/6) 18)
(pow.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3/2) 1/6) 4)
(.f64 (pow.f64 (expm1.f64 (.f64 a x)) 1/6) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 a x)))) 3) 3)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 a x))) 1/6) 4) 3)
(.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (.f64 a x)))) (pow.f64 (expm1.f64 (*.f64 a x)) 5/6))

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

Calls

5 calls:

44.0ms	x
25.0ms	(*.f64 a x)
9.0ms	a
3.0ms	(exp.f64 (*.f64 a x))
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Results

Error	Segments	Branch
0.1b	1	`a`
0.1b	1	`x`
0.1b	1	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
0.1b	1	`(exp.f64 (*.f64 a x))`
0.1b	1	`(*.f64 a x)`

Compiler

Compiled 205 to 104 computations (49.3% saved)

regimes56.0ms (0.9%)

Accuracy

Total -30.6b remaining (-135.1%)

Threshold costs -30.6b (-135.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

46.0ms	(*.f64 a x)
4.0ms	a
4.0ms	x

Results

Error	Segments	Branch
22.6b	1	`a`
22.6b	1	`x`
22.6b	1	`(*.f64 a x)`

Compiler

Compiled 58 to 32 computations (44.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	6	10

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness101.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 14 to 10 computations (28.6% saved)

end15.0ms (0.2%)

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

Details

analyze28.0ms (0.5%)

sample1.6s (26.6%)

preprocess46.0ms (0.7%)

simplify41.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series3.0ms (0%)

rewrite34.0ms (0.6%)

simplify52.0ms (0.8%)

eval11.0ms (0.2%)

prune10.0ms (0.2%)

localize8.0ms (0.1%)

series20.0ms (0.3%)

rewrite43.0ms (0.7%)

simplify43.0ms (0.7%)

localize3.0ms (0%)

localize12.0ms (0.2%)

series9.0ms (0.2%)

rewrite66.0ms (1.1%)

simplify88.0ms (1.4%)

localize9.0ms (0.1%)

series5.0ms (0.1%)

rewrite45.0ms (0.7%)

simplify45.0ms (0.7%)

localize8.0ms (0.1%)

series95.0ms (1.5%)

rewrite38.0ms (0.6%)

simplify50.0ms (0.8%)

eval133.0ms (2.2%)

prune86.0ms (1.4%)

localize13.0ms (0.2%)

series60.0ms (1%)

rewrite51.0ms (0.8%)

simplify134.0ms (2.2%)

localize11.0ms (0.2%)

series3.0ms (0%)

rewrite48.0ms (0.8%)

simplify40.0ms (0.7%)

localize11.0ms (0.2%)

series6.0ms (0.1%)

rewrite67.0ms (1.1%)

simplify91.0ms (1.5%)

localize9.0ms (0.1%)

series8.0ms (0.1%)

rewrite44.0ms (0.7%)

simplify57.0ms (0.9%)

localize15.0ms (0.3%)

series144.0ms (2.4%)

rewrite57.0ms (0.9%)

simplify60.0ms (1%)

eval725.0ms (11.8%)

prune148.0ms (2.4%)

localize14.0ms (0.2%)

series11.0ms (0.2%)

rewrite52.0ms (0.8%)

simplify92.0ms (1.5%)

localize12.0ms (0.2%)

series111.0ms (1.8%)

rewrite63.0ms (1%)

simplify60.0ms (1%)

localize52.0ms (0.8%)

series176.0ms (2.9%)

rewrite51.0ms (0.8%)

simplify141.0ms (2.3%)

eval382.0ms (6.2%)

prune194.0ms (3.2%)

regimes89.0ms (1.5%)

regimes56.0ms (0.9%)

simplify2.0ms (0%)

soundness101.0ms (1.6%)

end15.0ms (0.2%)

Profiling