Details

analyze29.0ms (0.8%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.6s (45.1%)

Results

593.0ms	1502×	body	2048	valid
432.0ms	1794×	body	1024	valid
315.0ms	3810×	body	256	valid
175.0ms	1150×	body	512	valid
27.0ms	305×	body	256	infinite

Bogosity

preprocess43.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort a x)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify40.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite33.0ms (1%)

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 (1.4%)

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))

eval11.0ms (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
▶	48.9b	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
▶	28.2b	(.f64 x (+.f64 a (.f64 (.f64 x (.f64 a a)) 1/2)))
▶	24.7b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	42.6b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 42 to 29 computations (31% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	1.3b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
✓	6.1b	(log.f64 (expm1.f64 (*.f64 a x)))

Compiler

Compiled 22 to 6 computations (72.7% saved)

series72.0ms (2.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	a	@	inf	(log.f64 (expm1.f64 (*.f64 a x)))
17.0ms	x	@	-inf	(log.f64 (expm1.f64 (*.f64 a x)))
16.0ms	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)))

rewrite37.0ms (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))))))))

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))))))))

simplify51.0ms (1.5%)

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)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 a (.f64 (.f64 x (*.f64 a a)) 1/2))
✓	0.0b	(.f64 (.f64 x (*.f64 a a)) 1/2)
✓	1.2b	(.f64 x (+.f64 a (.f64 (.f64 x (.f64 a a)) 1/2)))
✓	8.4b	(.f64 x (.f64 a a))

Compiler

Compiled 40 to 14 computations (65% saved)

series23.0ms (0.7%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
14.0ms	a	@	0	(.f64 x (.f64 a a))
1.0ms	x	@	0	(.f64 x (.f64 a a))
1.0ms	x	@	-inf	(.f64 x (+.f64 a (.f64 (.f64 x (.f64 a a)) 1/2)))
1.0ms	x	@	inf	(.f64 x (+.f64 a (.f64 (.f64 x (.f64 a a)) 1/2)))
1.0ms	a	@	inf	(.f64 x (.f64 a a))

rewrite90.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

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

simplify112.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	420	4303
1	1020	3951
2	3060	3912

Stop Event

1×	node limit

Counts

280 → 259

Calls

Call 1

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

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (*.f64 a x))
✓	0.2b	(pow.f64 (expm1.f64 (*.f64 a x)) 3)
✓	21.4b	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)

Compiler

Compiled 27 to 12 computations (55.6% saved)

series20.0ms (0.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	a	@	-inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
3.0ms	a	@	0	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
2.0ms	x	@	0	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
2.0ms	a	@	inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
2.0ms	x	@	-inf	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)

rewrite45.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`pow1_binary64`
649×	`add-log-exp_binary64`
649×	`log1p-expm1-u_binary64`
649×	`expm1-log1p-u_binary64`
633×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	194	15
2	1849	15

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
(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 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 (+.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)))))))))

simplify54.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

692×	`associate-+l+_binary64`
525×	`associate-+r+_binary64`
333×	`times-frac_binary64`
294×	`associate-/l*_binary64`
277×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	1609
1	698	1575
2	2708	1508

Stop Event

1×	node limit

Counts

86 → 91

Calls

Call 1

Inputs
(*.f64 a x)
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (*.f64 a x))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 a x) (.f64 1/3 (/.f64 (.f64 (pow.f64 a 3) (-.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)))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 4))) 2) (pow.f64 (/.f64 1 x) 1/3))))) (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 a x) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 a 4) (-.f64 (+.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 (+.f64 (.f64 1/12 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5))) x) (+.f64 (.f64 1/6 (pow.f64 x 6)) (.f64 1/24 (pow.f64 x 6))))) (+.f64 (.f64 2/3 (.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/6 (pow.f64 x 5)) (.f64 1/2 (pow.f64 x 5)))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) 2) (pow.f64 (/.f64 1 x) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) 3) (pow.f64 x 2)))))) (pow.f64 x 2))) (.f64 1/3 (/.f64 (.f64 (pow.f64 a 3) (-.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)))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) 2) (pow.f64 (/.f64 1 x) 1/3))))) (pow.f64 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)
(*.f64 a x)
(+.f64 (.f64 a x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (.f64 (+.f64 (*.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 2)))))
(+.f64 (.f64 a x) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 2)))) (.f64 1/3 (/.f64 (.f64 (-.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)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 a) 1/3) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 2)))) (pow.f64 x 3)) (pow.f64 a 2)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.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 a (+.f64 (.f64 1/12 (pow.f64 a 5)) (.f64 1/6 (pow.f64 a 5)))) (+.f64 (.f64 1/6 (pow.f64 a 6)) (.f64 1/24 (pow.f64 a 6))))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 3) (pow.f64 a 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 5)) 1/3) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 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)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 a) 1/3) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 2))))))))) (pow.f64 x 4)) (pow.f64 a 2))) (+.f64 (.f64 a x) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 2)))) (.f64 1/3 (/.f64 (.f64 (-.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)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 a) 1/3) (pow.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 2)))) (pow.f64 x 3)) (pow.f64 a 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)
(*.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))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 a x))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(-.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 1/3 (.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (*.f64 a x))
(fma.f64 1/3 (.f64 (.f64 3/2 (pow.f64 x 4)) (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 a x))
(fma.f64 a x (.f64 1/3 (.f64 (.f64 (pow.f64 x 4) 3/2) (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 x x)))))))
(fma.f64 a x (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 1/3 (.f64 (.f64 (.f64 a a) 3/2) (pow.f64 x 4)))))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 a x) (.f64 1/3 (/.f64 (.f64 (pow.f64 a 3) (-.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)))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 4))) 2) (pow.f64 (/.f64 1 x) 1/3))))) (pow.f64 x 2)))))
(fma.f64 1/3 (.f64 (.f64 3/2 (pow.f64 x 4)) (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 a x (.f64 1/3 (/.f64 (pow.f64 a 3) (/.f64 (.f64 x x) (+.f64 (fma.f64 (.f64 (pow.f64 x 4) 7/12) x (.f64 (pow.f64 x 5) 2/3)) (.f64 -1/3 (.f64 (pow.f64 (.f64 3/2 (pow.f64 x 4)) 2) (cbrt.f64 (/.f64 1 x))))))))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 x 4) 3/2) (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 a x (.f64 1/3 (.f64 (/.f64 (pow.f64 a 3) (.f64 x x)) (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (fma.f64 (pow.f64 x 5) 2/3 (.f64 (.f64 -1/3 (pow.f64 (.f64 (pow.f64 x 4) 3/2) 2)) (cbrt.f64 (/.f64 1 x)))))))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 x 4) 3/2) (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 a 3) (.f64 x x)) (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (fma.f64 (pow.f64 x 5) 2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (.f64 9/4 (pow.f64 x 8)) -1/3))))) (.f64 a x)))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (pow.f64 a 2)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (+.f64 (.f64 a x) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 a 4) (-.f64 (+.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 (+.f64 (.f64 1/12 (pow.f64 x 5)) (.f64 1/6 (pow.f64 x 5))) x) (+.f64 (.f64 1/6 (pow.f64 x 6)) (.f64 1/24 (pow.f64 x 6))))) (+.f64 (.f64 2/3 (.f64 (.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/3 (pow.f64 x 4))) x) (+.f64 (.f64 1/6 (pow.f64 x 5)) (.f64 1/2 (pow.f64 x 5)))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) 2) (pow.f64 (/.f64 1 x) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) 3) (pow.f64 x 2)))))) (pow.f64 x 2))) (.f64 1/3 (/.f64 (.f64 (pow.f64 a 3) (-.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)))) (.f64 1/3 (.f64 (pow.f64 (+.f64 (pow.f64 x 4) (.f64 1/2 (pow.f64 x 4))) 2) (pow.f64 (/.f64 1 x) 1/3))))) (pow.f64 x 2))))))
(fma.f64 1/3 (.f64 (.f64 3/2 (pow.f64 x 4)) (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 a x (.f64 1/3 (+.f64 (/.f64 (pow.f64 a 4) (/.f64 (.f64 x x) (-.f64 (fma.f64 1/2 (.f64 (.f64 x x) (.f64 (pow.f64 x 4) 7/12)) (fma.f64 (.f64 (pow.f64 x 5) 1/4) x (.f64 (pow.f64 x 6) 5/24))) (fma.f64 2/3 (.f64 (.f64 3/2 (pow.f64 x 4)) (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 x 4) 7/12) x (.f64 (pow.f64 x 5) 2/3)) (.f64 -1/3 (.f64 (pow.f64 (.f64 3/2 (pow.f64 x 4)) 2) (cbrt.f64 (/.f64 1 x))))) (cbrt.f64 (/.f64 1 (pow.f64 x 5))))) (.f64 1/27 (/.f64 (pow.f64 (.f64 3/2 (pow.f64 x 4)) 3) (.f64 x x))))))) (/.f64 (pow.f64 a 3) (/.f64 (.f64 x x) (+.f64 (fma.f64 (.f64 (pow.f64 x 4) 7/12) x (.f64 (pow.f64 x 5) 2/3)) (.f64 -1/3 (.f64 (pow.f64 (*.f64 3/2 (pow.f64 x 4)) 2) (cbrt.f64 (/.f64 1 x)))))))))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 x 4) 3/2) (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 a x (.f64 1/3 (+.f64 (.f64 (/.f64 (pow.f64 a 3) (.f64 x x)) (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (fma.f64 (pow.f64 x 5) 2/3 (.f64 (.f64 -1/3 (pow.f64 (.f64 (pow.f64 x 4) 3/2) 2)) (cbrt.f64 (/.f64 1 x)))))) (.f64 (/.f64 (pow.f64 a 4) (.f64 x x)) (-.f64 (fma.f64 1/2 (.f64 (pow.f64 x 6) 7/12) (fma.f64 x (.f64 1/4 (pow.f64 x 5)) (.f64 (pow.f64 x 6) 5/24))) (fma.f64 2/3 (.f64 (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (fma.f64 (pow.f64 x 5) 2/3 (.f64 (.f64 -1/3 (pow.f64 (.f64 (pow.f64 x 4) 3/2) 2)) (cbrt.f64 (/.f64 1 x))))) (.f64 (.f64 (pow.f64 x 4) 3/2) (cbrt.f64 (/.f64 1 (pow.f64 x 5))))) (.f64 1/27 (/.f64 (.f64 27/8 (pow.f64 (pow.f64 x 4) 3)) (*.f64 x x))))))))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 x 4) 3/2) (.f64 (.f64 a a) (cbrt.f64 (/.f64 1 (.f64 x x))))) (fma.f64 a x (.f64 (/.f64 1/3 x) (+.f64 (/.f64 (pow.f64 a 3) (/.f64 x (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (fma.f64 (pow.f64 x 5) 2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (.f64 9/4 (pow.f64 x 8)) -1/3)))))) (/.f64 (-.f64 (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 2/3 (.f64 (.f64 (pow.f64 x 4) 3/2) (.f64 (fma.f64 x (.f64 (pow.f64 x 4) 7/12) (fma.f64 (pow.f64 x 5) 2/3 (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (.f64 9/4 (pow.f64 x 8)) -1/3)))) (cbrt.f64 (/.f64 1 (pow.f64 x 5))))) (.f64 1/27 (.f64 (/.f64 27/8 x) (/.f64 (pow.f64 (pow.f64 x 4) 3) x))))) (/.f64 x (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 a x) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (.f64 (+.f64 (*.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 2)))))
(fma.f64 a x (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 (.f64 x x) (.f64 3/2 (pow.f64 a 4))))))
(fma.f64 a x (.f64 1/3 (.f64 (.f64 x x) (.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 (pow.f64 a 4) 3/2)))))
(fma.f64 a x (.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 (.f64 x (.f64 x (.f64 (pow.f64 a 4) 3/2))) 1/3)))
(+.f64 (.f64 a x) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) (pow.f64 x 2)))) (.f64 1/3 (/.f64 (.f64 (-.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)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 a) 1/3) (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 a 4)) (pow.f64 a 4)) 2)))) (pow.f64 x 3)) (pow.f64 a 2)))))
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(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 a x))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(expm1.f64 (*.f64 a x))
(-.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)

eval248.0ms (7.2%)

Compiler: Compiled 10978 to 6198 computations (43.5% saved)

prune89.0ms (2.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	520	2	522
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	521	6	527

Error

0.0b

Counts

527 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	48.9b	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
▶	25.0b	(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))
✓	24.7b	(*.f64 a x)
▶	55.7b	(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	42.6b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 53 to 36 computations (32.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 (.f64 a a) (.f64 x x)))
✓	17.6b	(.f64 (.f64 a a) (*.f64 x x))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite44.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
683×	`add-log-exp_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
664×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	166	17
2	1984	17

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

653×	`log-prod_binary64`
597×	`unswap-sqr_binary64`
576×	`fma-def_binary64`
556×	`distribute-rgt-in_binary64`
532×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	66	825
1	166	609
2	699	609
3	2927	609
4	7923	609

Stop Event

1×	node limit

Counts

72 → 29

Calls

Call 1

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

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

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 a (*.f64 a x)) 1/2)
✓	0.0b	(+.f64 a (.f64 (.f64 a (*.f64 a x)) 1/2))
✓	0.2b	(.f64 a (.f64 a x))
✓	1.2b	(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))

Compiler

Compiled 40 to 14 computations (65% saved)

series11.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))
0.0ms	x	@	inf	(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))
0.0ms	a	@	inf	(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))
0.0ms	x	@	-inf	(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))
0.0ms	a	@	-inf	(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))

rewrite70.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

549×	`log-prod_binary64`
407×	`pow-prod-down_binary64`
383×	`exp-prod_binary64`
355×	`fma-def_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	46
1	198	42
2	2749	42

Stop Event

1×	node limit

Counts

4 → 203

Calls

Call 1

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

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

simplify92.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

299 → 272

Calls

Call 1

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

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

eval128.0ms (3.7%)

Compiler: Compiled 5120 to 2682 computations (47.6% saved)

prune46.0ms (1.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	300	1	301
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	301	6	307

Error

0.0b

Counts

307 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	48.9b	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
✓	25.0b	(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))
▶	55.3b	(.f64 x (.f64 (.f64 a x) (.f64 a 1/2)))
✓	24.7b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	42.6b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 53 to 36 computations (32.1% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 a x) (*.f64 a 1/2))
✓	3.9b	(.f64 x (.f64 (.f64 a x) (.f64 a 1/2)))

Compiler

Compiled 27 to 13 computations (51.9% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite49.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`pow1_binary64`
743×	`add-log-exp_binary64`
743×	`log1p-expm1-u_binary64`
743×	`expm1-log1p-u_binary64`
726×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	165	20
2	2038	20

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

571×	`log-prod_binary64`
558×	`distribute-rgt-in_binary64`
525×	`distribute-lft-in_binary64`
428×	`fma-def_binary64`
417×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	851
1	189	740
2	763	740
3	2676	740

Stop Event

1×	node limit

Counts

74 → 32

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

eval7.0ms (0.2%)

Compiler: Compiled 346 to 207 computations (40.2% saved)

prune6.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	32	6	38

Error

0.0b

Counts

38 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	48.9b	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) 3) 1/3)
✓	25.0b	(.f64 x (+.f64 a (.f64 (.f64 a (.f64 a x)) 1/2)))
✓	55.3b	(.f64 x (.f64 (.f64 a x) (.f64 a 1/2)))
✓	24.7b	(*.f64 a x)
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	42.6b	(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))

Compiler

Compiled 53 to 36 computations (32.1% saved)

regimes68.0ms (2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

31.0ms	(*.f64 a x)
25.0ms	a
5.0ms	x
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
2.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 94 to 49 computations (47.9% saved)

regimes14.0ms (0.4%)

Accuracy

Total -31.0b remaining (-125.2%)

Threshold costs -31.0b (-125.2%)

Counts

5 → 1

Calls

Call 1

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

5.0ms	a
4.0ms	x
4.0ms	(*.f64 a x)

Results

Error	Segments	Branch
24.7b	1	`a`
24.7b	1	`x`
24.7b	1	`(*.f64 a x)`

Compiler

Compiled 56 to 29 computations (48.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	6	10

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness70.0ms (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)

end46.0ms (1.3%)

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

Details

analyze29.0ms (0.8%)

sample1.6s (45.1%)

preprocess43.0ms (1.2%)

simplify40.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series3.0ms (0.1%)

rewrite33.0ms (1%)

simplify49.0ms (1.4%)

eval11.0ms (0.3%)

prune7.0ms (0.2%)

localize8.0ms (0.2%)

series72.0ms (2.1%)

rewrite37.0ms (1.1%)

simplify51.0ms (1.5%)

localize3.0ms (0.1%)

localize13.0ms (0.4%)

series23.0ms (0.7%)

rewrite90.0ms (2.6%)

simplify112.0ms (3.2%)

localize10.0ms (0.3%)

series20.0ms (0.6%)

rewrite45.0ms (1.3%)

simplify54.0ms (1.6%)

eval248.0ms (7.2%)

prune89.0ms (2.6%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite44.0ms (1.3%)

simplify55.0ms (1.6%)

localize11.0ms (0.3%)

series11.0ms (0.3%)

rewrite70.0ms (2%)

simplify92.0ms (2.7%)

eval128.0ms (3.7%)

prune46.0ms (1.3%)

localize9.0ms (0.3%)

series3.0ms (0.1%)

rewrite49.0ms (1.4%)

simplify52.0ms (1.5%)

eval7.0ms (0.2%)

prune6.0ms (0.2%)

regimes68.0ms (2%)

regimes14.0ms (0.4%)

simplify2.0ms (0.1%)

soundness70.0ms (2%)

end46.0ms (1.3%)

Profiling