Details

analyze26.0ms (0.7%)

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)

sample1.7s (44.9%)

Results

638.0ms	1553×	body	2048	valid
455.0ms	1773×	body	1024	valid
331.0ms	3802×	body	256	valid
221.0ms	1128×	body	512	valid
29.0ms	332×	body	256	infinite

Bogosity

preprocess51.0ms (1.4%)

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)

simplify40.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite35.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

Outputs

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

simplify49.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval10.0ms (0.3%)

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

prune7.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	5	49

Error

0.0b

Counts

49 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.6b	(.f64 x (+.f64 a (.f64 (.f64 x (.f64 a a)) 1/2)))
▶	23.0b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	41.2b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
▶	15.4b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 41 to 28 computations (31.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.1b	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
✓	15.4b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 25 to 10 computations (60% saved)

series9.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
1.0ms	x	@	inf	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
1.0ms	a	@	0	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
1.0ms	x	@	0	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
1.0ms	a	@	inf	(pow.f64 (expm1.f64 (*.f64 a x)) 3)

rewrite43.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

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

Outputs

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

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

simplify57.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

478×	`unswap-sqr_binary64`
460×	`associate-+l+_binary64`
433×	`associate-+r+_binary64`
381×	`*-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	7158	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))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.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)))
(log1p.f64 (expm1.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3)))
(exp.f64 (.f64 3 (log.f64 (expm1.f64 (.f64 a x)))))

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

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	1.0b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
✓	11.6b	(log.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 22 to 6 computations (72.7% saved)

series82.0ms (2.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	x	@	-inf	(log.f64 (expm1.f64 (*.f64 a x)))
22.0ms	a	@	-inf	(log.f64 (expm1.f64 (*.f64 a x)))
21.0ms	a	@	inf	(log.f64 (expm1.f64 (*.f64 a x)))
11.0ms	x	@	inf	(log.f64 (expm1.f64 (*.f64 a x)))
1.0ms	a	@	0	(log.f64 (expm1.f64 (*.f64 a x)))

rewrite42.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

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

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

simplify53.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

88 → 76

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (.f64 (.f64 x (*.f64 a a)) 1/2))
✓	2.4b	(.f64 x (+.f64 a (.f64 (.f64 x (.f64 a a)) 1/2)))
✓	7.8b	(.f64 x (.f64 a a))

Compiler

Compiled 40 to 14 computations (65% saved)

series8.0ms (0.2%)

Counts

3 → 72

Calls

18 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	a	@	0	(.f64 x (.f64 a a))
1.0ms	x	@	0	(.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)))

rewrite66.0ms (1.7%)

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	36
1	199	32
2	2810	32

Stop Event

1×	node limit

Counts

3 → 159

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))

Outputs

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

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

simplify76.0ms (2%)

Algorithm

1×	egg-herbie

Rules

472×	`distribute-rgt-in_binary64`
454×	`unswap-sqr_binary64`
434×	`distribute-lft-in_binary64`
240×	`cancel-sign-sub-inv_binary64`
207×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	3705
1	914	3374
2	2505	3345

Stop Event

1×	node limit

Counts

231 → 225

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

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

eval153.0ms (4.1%)

Compiler: Compiled 8525 to 4426 computations (48.1% saved)

prune97.0ms (2.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	475	3	478
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	476	7	483

Error

0.0b

Counts

483 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	63.5b	(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
▶	23.5b	(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))
▶	50.0b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
✓	23.0b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	41.2b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
✓	15.4b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 68 to 43 computations (36.8% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 a (.f64 x (*.f64 a 1/2)))
✓	3.7b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series14.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	(.f64 a (.f64 x (*.f64 a 1/2)))
1.0ms	x	@	0	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
1.0ms	a	@	0	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
1.0ms	a	@	inf	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
1.0ms	x	@	inf	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))

rewrite47.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify39.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

74 → 34

Calls

Call 1

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

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

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (.f64 (.f64 a (*.f64 a x)) 1/2))
✓	0.1b	(.f64 a (.f64 a x))
✓	2.4b	(.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

3 → 72

Calls

18 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 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 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)))

rewrite80.0ms (2.1%)

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	36
1	198	32
2	2749	32

Stop Event

1×	node limit

Counts

3 → 178

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))

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

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

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

simplify81.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

510×	`distribute-rgt-in_binary64`
460×	`distribute-lft-in_binary64`
452×	`unswap-sqr_binary64`
276×	`cancel-sign-sub-inv_binary64`
224×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	394	4050
1	969	3667
2	2594	3640

Stop Event

1×	node limit

Counts

250 → 241

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 (.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)))))
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(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)

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

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
✓	0.0b	(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
	0.0b	(expm1.f64 (*.f64 a x))
	11.6b	(log.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 43 to 8 computations (81.4% saved)

series80.0ms (2.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	a	@	inf	(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
18.0ms	x	@	inf	(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
14.0ms	a	@	-inf	(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
14.0ms	x	@	-inf	(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
7.0ms	x	@	0	(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))

rewrite50.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`pow1_binary64`
636×	`add-log-exp_binary64`
636×	`log1p-expm1-u_binary64`
636×	`expm1-log1p-u_binary64`
619×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	174	18
2	1816	18

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

824×	`associate-+l+_binary64`
378×	`+-commutative_binary64`
355×	`associate-r_binary64`
330×	`fma-def_binary64`
294×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	4479
1	1192	3961
2	4348	3609

Stop Event

1×	node limit

Counts

86 → 96

Calls

Call 1

Inputs
(exp.f64 (+.f64 (log.f64 x) (log.f64 a)))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (.f64 1/2 (.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (*.f64 a x))))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (.f64 a x))) (.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x 2) (+.f64 (log.f64 x) (log.f64 a)))) (.f64 2 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) x)) 2)))) (.f64 1/32 (/.f64 (pow.f64 x 2) (+.f64 (log.f64 x) (log.f64 a))))))) (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 a)) (+.f64 (log.f64 a) (log.f64 x)))) (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) x)) 2)))))))))))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (.f64 (pow.f64 a 3) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 a)) (+.f64 (log.f64 a) (log.f64 x)))) (-.f64 (.f64 1/6 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 3)))) (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 (log.f64 a) (log.f64 x)) (+.f64 (log.f64 x) (log.f64 a))))) (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))) x)) 2)) x)))))) (+.f64 (.f64 1/8 (.f64 (.f64 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x 2) (+.f64 (log.f64 x) (log.f64 a)))) (.f64 2 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) x)) 2)))) (.f64 1/32 (/.f64 (pow.f64 x 2) (+.f64 (log.f64 x) (log.f64 a))))))) x) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 -3/2 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) x)) 2)))) (.f64 1/32 (/.f64 (pow.f64 x 2) (+.f64 (log.f64 x) (log.f64 a))))) x) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) (+.f64 (.f64 6 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) (-.f64 (.f64 1/6 (+.f64 (.f64 -1/2 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 3)))) (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 (log.f64 a) (log.f64 x)) (+.f64 (log.f64 x) (log.f64 a))))) (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))) x)) 2)) x)))))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 (log.f64 a) (log.f64 x)) (+.f64 (log.f64 x) (log.f64 a))))) (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) x)) 2)) x))) (.f64 1/384 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 x) (log.f64 a)) 3))) (pow.f64 x 3)))))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 x) (log.f64 a)) 3))) (pow.f64 x 3))))) (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a))))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 (log.f64 a) (log.f64 x)) (+.f64 (log.f64 x) (log.f64 a))))) (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) x)) 2)) x))) (+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 1/2 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x 2) (+.f64 (log.f64 x) (log.f64 a)))) (.f64 2 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) x)) 2)))) (.f64 1/32 (/.f64 (pow.f64 x 2) (+.f64 (log.f64 x) (log.f64 a))))))) (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 a)) (+.f64 (log.f64 a) (log.f64 x)))) (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) x)) 2)))))) x))))))))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (.f64 a x))) (.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x 2) (+.f64 (log.f64 x) (log.f64 a)))) (.f64 2 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) x)) 2)))) (.f64 1/32 (/.f64 (pow.f64 x 2) (+.f64 (log.f64 x) (log.f64 a))))))) (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 a)) (+.f64 (log.f64 a) (log.f64 x)))) (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) x)) 2))))))))))))
(-.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)
(exp.f64 (+.f64 (log.f64 a) (log.f64 x)))
(+.f64 (.f64 1/2 (.f64 a (*.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) x))) (exp.f64 (+.f64 (log.f64 a) (log.f64 x))))
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(log.f64 (exp.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))))
(cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))))
(log1p.f64 (expm1.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))))

Outputs
(exp.f64 (+.f64 (log.f64 x) (log.f64 a)))
(*.f64 x a)
(+.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (.f64 1/2 (.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (*.f64 a x))))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (.f64 (.f64 1/2 (exp.f64 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 x a)))
(fma.f64 x a (.f64 (.f64 x (.f64 a a)) (.f64 x 1/2)))
(.f64 x (+.f64 a (.f64 (.f64 (.f64 a 1/2) x) a)))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (.f64 a x))) (.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/16 (/.f64 (pow.f64 x 2) (+.f64 (log.f64 x) (log.f64 a)))) (.f64 2 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) x)) 2)))) (.f64 1/32 (/.f64 (pow.f64 x 2) (+.f64 (log.f64 x) (log.f64 a))))))) (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 a)) (+.f64 (log.f64 a) (log.f64 x)))) (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 2)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 a) (log.f64 x)))) x)) 2)))))))))))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 1/2 (.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (.f64 x a)) (.f64 (.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (.f64 a a)) (fma.f64 1/8 (.f64 x x) (fma.f64 1/16 (/.f64 (.f64 x x) (+.f64 (log.f64 x) (log.f64 a))) (.f64 1/2 (+.f64 (.f64 (fma.f64 -1/16 (/.f64 (.f64 x x) (+.f64 (log.f64 x) (log.f64 a))) (.f64 2 (fma.f64 1/2 (.f64 (-.f64 (.f64 1/2 (.f64 (.f64 x x) 1/12)) (pow.f64 (.f64 1/4 (.f64 x (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a))))) (.f64 (/.f64 (.f64 x x) (+.f64 (log.f64 x) (log.f64 a))) 1/32)))) (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (-.f64 (.f64 1/2 (.f64 (.f64 x x) 1/12)) (pow.f64 (.f64 1/4 (*.f64 x (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) 2)) (sqrt.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 a)) (+.f64 (log.f64 x) (log.f64 a))))))))))))
(fma.f64 x a (fma.f64 1/2 (.f64 x (.f64 x (.f64 a a))) (.f64 (fma.f64 1/8 (.f64 x x) (fma.f64 1/2 (fma.f64 (fma.f64 (/.f64 x (/.f64 (+.f64 (log.f64 x) (log.f64 a)) x)) -1/16 (+.f64 (.f64 1/16 (/.f64 x (/.f64 (+.f64 (log.f64 x) (log.f64 a)) x))) (.f64 1 (.f64 (-.f64 (.f64 (.f64 x x) 1/24) (pow.f64 (.f64 1/4 (.f64 x (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))))) (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a))) (.f64 1 (-.f64 (.f64 (.f64 x x) 1/24) (pow.f64 (.f64 1/4 (.f64 x (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) 2)))) (.f64 1/16 (/.f64 x (/.f64 (+.f64 (log.f64 x) (log.f64 a)) x))))) (*.f64 x (pow.f64 a 3)))))
(fma.f64 x a (.f64 (.f64 x a) (+.f64 (.f64 (.f64 a 1/2) x) (.f64 a (.f64 a (fma.f64 1/8 (.f64 x x) (fma.f64 1/2 (fma.f64 (+.f64 (.f64 (fma.f64 (.f64 x x) 1/24 (.f64 -1/16 (.f64 (.f64 x x) (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a))))) (.f64 (.f64 (/.f64 x (+.f64 (log.f64 x) (log.f64 a))) x) 0)) (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 (.f64 x x) 1/24 (.f64 -1/16 (.f64 (.f64 x x) (/.f64 1 (+.f64 (log.f64 x) (log.f64 a))))))) (/.f64 (*.f64 x x) (/.f64 (+.f64 (log.f64 x) (log.f64 a)) 1/16)))))))))
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(-.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 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.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 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(exp.f64 (+.f64 (log.f64 a) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 a)))
(*.f64 x a)
(+.f64 (.f64 1/2 (.f64 a (*.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) x))) (exp.f64 (+.f64 (log.f64 a) (log.f64 x))))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (.f64 (.f64 1/2 (exp.f64 (+.f64 (log.f64 x) (log.f64 a)))) (*.f64 x a)))
(fma.f64 x a (.f64 (.f64 x (.f64 a a)) (.f64 x 1/2)))
(.f64 x (+.f64 a (.f64 (.f64 (.f64 a 1/2) x) a)))
(+.f64 (.f64 (+.f64 (.f64 1/8 (pow.f64 a 2)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (+.f64 (log.f64 a) (log.f64 x))) (+.f64 (.f64 2 (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (pow.f64 (.f64 1/4 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) 2)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) (.f64 1/32 (/.f64 (pow.f64 a 2) (+.f64 (log.f64 a) (log.f64 x)))))) (.f64 -1/16 (/.f64 (pow.f64 a 2) (+.f64 (log.f64 a) (log.f64 x))))))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 2) (+.f64 (log.f64 a) (log.f64 x)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (+.f64 (log.f64 a) (log.f64 x)) (+.f64 (log.f64 x) (log.f64 a)))) (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/3 (pow.f64 a 2)))) (pow.f64 (.f64 1/4 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) 2))))))) (.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 a (.f64 (exp.f64 (+.f64 (log.f64 a) (log.f64 x))) x))) (exp.f64 (+.f64 (log.f64 a) (log.f64 x)))))
(fma.f64 (fma.f64 1/8 (.f64 a a) (fma.f64 1/2 (.f64 (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a))) (fma.f64 2 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))) (-.f64 (.f64 1/2 (.f64 (.f64 a a) 1/12)) (pow.f64 (.f64 1/4 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) 2))) (.f64 1/32 (/.f64 (.f64 a a) (+.f64 (log.f64 x) (log.f64 a))))) (.f64 -1/16 (/.f64 (.f64 a a) (+.f64 (log.f64 x) (log.f64 a)))))) (fma.f64 1/16 (/.f64 (.f64 a a) (+.f64 (log.f64 x) (log.f64 a))) (.f64 1/2 (.f64 (-.f64 (.f64 1/2 (.f64 (.f64 a a) 1/12)) (pow.f64 (.f64 1/4 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) 2)) (sqrt.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 a)) (+.f64 (log.f64 x) (log.f64 a))))))))) (.f64 (exp.f64 (+.f64 (log.f64 x) (log.f64 a))) (.f64 x x)) (fma.f64 1/2 (.f64 (.f64 a (exp.f64 (+.f64 (log.f64 x) (log.f64 a)))) x) (exp.f64 (+.f64 (log.f64 x) (log.f64 a)))))
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(-.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 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.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 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 x a))
(exp.f64 (sqrt.f64 (+.f64 (log.f64 a) (log.f64 x))))
(exp.f64 (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a))))
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(+.f64 (exp.f64 (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a)))) (fma.f64 (exp.f64 (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (pow.f64 x 3) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))) (-.f64 (.f64 1/6 (.f64 (pow.f64 a 3) 0)) (.f64 1/4 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 (log.f64 x) (log.f64 a)) (+.f64 (log.f64 x) (log.f64 a))))) a) (-.f64 (.f64 1/2 (.f64 (.f64 a a) 1/12)) (pow.f64 (.f64 1/4 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) 2)))))) (fma.f64 1/8 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 (log.f64 x) (log.f64 a)) (+.f64 (log.f64 x) (log.f64 a))))) a) (-.f64 (.f64 1/2 (.f64 (.f64 a a) 1/12)) (pow.f64 (.f64 1/4 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) 2))) (.f64 (.f64 1/384 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 x) (log.f64 a)) 3)))) (pow.f64 a 3))))) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (.f64 x a) (exp.f64 (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a)))))) (.f64 (exp.f64 (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 (.f64 x x) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))) (-.f64 (.f64 1/2 (.f64 (.f64 a a) 1/12)) (pow.f64 (.f64 1/4 (.f64 a (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) 2))) (.f64 1/32 (/.f64 (*.f64 a a) (+.f64 (log.f64 x) (log.f64 a))))))))))
(+.f64 (fma.f64 1/4 (.f64 a (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))) (.f64 x (exp.f64 (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a))))))) (.f64 (.f64 x x) (.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))) (-.f64 (.f64 (.f64 a a) 1/24) (pow.f64 (.f64 a (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) 2))) (.f64 1/32 (/.f64 (.f64 a a) (+.f64 (log.f64 x) (log.f64 a))))) (exp.f64 (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a))))))) (.f64 (+.f64 (.f64 (pow.f64 x 3) (fma.f64 1/384 (.f64 (pow.f64 a 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 x) (log.f64 a)) 3)))) (fma.f64 1/8 (.f64 (-.f64 (.f64 (.f64 a a) 1/24) (pow.f64 (.f64 a (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) 2)) (.f64 a (sqrt.f64 (/.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (log.f64 x) (log.f64 a)))))) (.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 (.f64 a a) 1/24) (pow.f64 (.f64 a (.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) 2)) (.f64 a (sqrt.f64 (/.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (log.f64 x) (log.f64 a))))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a))))))))) 1) (exp.f64 (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a))))))
(+.f64 (.f64 (exp.f64 (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a)))) (+.f64 (.f64 (.f64 (.f64 x a) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a))))) 1/4) (.f64 (.f64 x x) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))) (fma.f64 (.f64 a a) 1/24 (.f64 -1/16 (.f64 (.f64 a a) (/.f64 1 (+.f64 (log.f64 x) (log.f64 a))))))) (.f64 1/32 (/.f64 (.f64 a a) (+.f64 (log.f64 x) (log.f64 a)))))))) (.f64 (+.f64 1 (.f64 (pow.f64 x 3) (fma.f64 1/384 (.f64 (pow.f64 a 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 x) (log.f64 a)) 3)))) (fma.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a))))) (.f64 -1/4 (.f64 a (.f64 (fma.f64 (.f64 a a) 1/24 (.f64 -1/16 (.f64 (.f64 a a) (/.f64 1 (+.f64 (log.f64 x) (log.f64 a)))))) (sqrt.f64 (/.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (log.f64 x) (log.f64 a))))))) (.f64 (.f64 1/8 (.f64 a (sqrt.f64 (/.f64 (/.f64 1 (+.f64 (log.f64 x) (log.f64 a))) (+.f64 (log.f64 x) (log.f64 a)))))) (fma.f64 (.f64 a a) 1/24 (.f64 -1/16 (.f64 (*.f64 a a) (/.f64 1 (+.f64 (log.f64 x) (log.f64 a))))))))))) (exp.f64 (sqrt.f64 (+.f64 (log.f64 x) (log.f64 a))))))
(exp.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(exp.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(exp.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(exp.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(exp.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(exp.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(exp.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(exp.f64 (sqrt.f64 (log.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(+.f64 1 (-.f64 (expm1.f64 (*.f64 a x)) 1))
(expm1.f64 (*.f64 x a))
(+.f64 (pow.f64 (exp.f64 a) x) -1)
(expm1.f64 (*.f64 x a))
(-.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 1 (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 (sqrt.f64 (expm1.f64 (.f64 a x))) (sqrt.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 1 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (expm1.f64 (*.f64 a x)))
(expm1.f64 (*.f64 x a))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))) 2) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 x a)))))) 2) (sqrt.f64 (log.f64 (expm1.f64 (.f64 x a))))) (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 x a)))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (pow.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))))
(pow.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 x a)))))) (.f64 2 (sqrt.f64 (log.f64 (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 (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 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))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 x a))
(+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(-.f64 (+.f64 1 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))) 1)
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) 1)
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(.f64 1 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))) (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))) 2))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))) 2) (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))) (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) 1)
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) 3) 1/3)
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))) 3)
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(pow.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))) 2)
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))
(pow.f64 (E.f64) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(pow.f64 (exp.f64 (pow.f64 (log.f64 (expm1.f64 (.f64 a x))) 1/4)) (pow.f64 (log.f64 (expm1.f64 (.f64 a x))) 1/4))
(pow.f64 (exp.f64 (pow.f64 (log.f64 (expm1.f64 (.f64 x a))) 1/4)) (pow.f64 (log.f64 (expm1.f64 (.f64 x a))) 1/4))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (cbrt.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (expm1.f64 (.f64 x a))))) (cbrt.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 x a))))))
(sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) 2))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(log.f64 (exp.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x))))) 3))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(expm1.f64 (log1p.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))
(log1p.f64 (expm1.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 a x)))))))
(exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x a)))))

eval328.0ms (8.7%)

Compiler: Compiled 18184 to 8102 computations (55.4% saved)

prune135.0ms (3.6%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	537	0	537
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	537	7	544

Error

0.0b

Counts

544 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	63.5b	(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))
✓	23.5b	(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))
✓	50.0b	(.f64 x (.f64 a (.f64 x (.f64 a 1/2))))
✓	23.0b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	41.2b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
✓	15.4b	(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))

Compiler

Compiled 68 to 43 computations (36.8% saved)

regimes24.0ms (0.6%)

Counts

9 → 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)))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x))))) (sqrt.f64 (log.f64 (expm1.f64 (.f64 a x)))))

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

Calls

5 calls:

6.0ms	a
5.0ms	x
5.0ms	(*.f64 a x)
3.0ms	(exp.f64 (*.f64 a x))
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Results

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

Compiler

Compiled 98 to 48 computations (51% saved)

regimes12.0ms (0.3%)

Accuracy

Total -27.2b remaining (-118.3%)

Threshold costs -27.2b (-118.3%)

Counts

4 → 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)))

Outputs
(*.f64 a x)

Calls

3 calls:

4.0ms	x
4.0ms	a
3.0ms	(*.f64 a x)

Results

Error	Segments	Branch
23.0b	1	`a`
23.0b	1	`x`
23.0b	1	`(*.f64 a x)`

Compiler

Compiled 47 to 26 computations (44.7% saved)

simplify23.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	6	10

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness84.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 14 to 10 computations (28.6% saved)

end15.0ms (0.4%)

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

Details

analyze26.0ms (0.7%)

sample1.7s (44.9%)

preprocess51.0ms (1.4%)

simplify40.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series3.0ms (0.1%)

rewrite35.0ms (0.9%)

simplify49.0ms (1.3%)

eval10.0ms (0.3%)

prune7.0ms (0.2%)

localize9.0ms (0.2%)

series9.0ms (0.2%)

rewrite43.0ms (1.1%)

simplify57.0ms (1.5%)

localize8.0ms (0.2%)

series82.0ms (2.2%)

rewrite42.0ms (1.1%)

simplify53.0ms (1.4%)

localize3.0ms (0.1%)

localize11.0ms (0.3%)

series8.0ms (0.2%)

rewrite66.0ms (1.7%)

simplify76.0ms (2%)

eval153.0ms (4.1%)

prune97.0ms (2.6%)

localize11.0ms (0.3%)

series14.0ms (0.4%)

rewrite47.0ms (1.3%)

simplify39.0ms (1%)

localize11.0ms (0.3%)

series6.0ms (0.1%)

rewrite80.0ms (2.1%)

simplify81.0ms (2.2%)

localize10.0ms (0.3%)

series80.0ms (2.1%)

rewrite50.0ms (1.3%)

simplify81.0ms (2.1%)

eval328.0ms (8.7%)

prune135.0ms (3.6%)

regimes24.0ms (0.6%)

regimes12.0ms (0.3%)

simplify23.0ms (0.6%)

soundness84.0ms (2.2%)

end15.0ms (0.4%)

Profiling