Details

analyze30.0ms (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)

sample1.8s (46%)

Results

676.0ms	1491×	body	2048	valid
495.0ms	1798×	body	1024	valid
365.0ms	3801×	body	256	valid
199.0ms	1166×	body	512	valid
29.0ms	318×	body	256	infinite

Bogosity

preprocess61.0ms (1.6%)

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)

simplify79.0ms (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

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)

prune4.0ms (0.1%)

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)

localize10.0ms (0.2%)

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)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite70.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

Outputs

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

simplify85.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1324×	`distribute-lft-out_binary64`
822×	`fma-def_binary64`
421×	`associate-/l/_binary64`
365×	`associate-/r/_binary64`
354×	`associate-+l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	284
1	90	284
2	245	280
3	1019	262
4	3128	248
5	4834	248
6	6672	248

Stop Event

1×	node limit

Counts

48 → 33

Calls

Call 1

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

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

eval14.0ms (0.4%)

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

prune11.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Error

Counts

34 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	22.0b	(.f64 x (fma.f64 1/2 (.f64 a (*.f64 a x)) a))
▶	21.6b	(*.f64 a x)

Compiler

Compiled 23 to 14 computations (39.1% saved)

localize7.0ms (0.2%)

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

localize24.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 10 computations (67.7% saved)

series17.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

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

rewrite93.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`pow1_binary64`
703×	`add-log-exp_binary64`
703×	`log1p-expm1-u_binary64`
703×	`expm1-log1p-u_binary64`
689×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	161	32
2	1907	32

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

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

Outputs

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

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

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

simplify320.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	810
1	33	774
2	73	720
3	206	720
4	1007	720
5	2030	720
6	2321	720
7	2644	720
8	2897	720
9	3066	720
10	3261	720
11	3425	720
12	3614	720
13	3829	720
14	4059	720
15	4303	720
16	4568	720
17	4847	720
18	5147	720
19	5461	720
20	5531	720
21	7479	720
22	7766	720

Stop Event

1×	node limit

Counts

121 → 61

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)))

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

eval30.0ms (0.8%)

Compiler: Compiled 814 to 378 computations (53.6% saved)

prune13.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	60	4	64

Error

Counts

64 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(expm1.f64 (*.f64 a x))
▶	22.0b	(+.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) x) (*.f64 x a))
▶	22.0b	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
✓	21.6b	(*.f64 a x)

Compiler

Compiled 39 to 23 computations (41% saved)

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 14 computations (65% saved)

series6.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

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

rewrite83.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`log-prod_binary64`
407×	`pow-prod-down_binary64`
389×	`exp-prod_binary64`
342×	`fma-def_binary64`
258×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	199	32
2	2717	32

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

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

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

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

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

simplify234.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	810
1	33	774
2	73	720
3	206	720
4	1007	720
5	2030	720
6	2321	720
7	2644	720
8	2897	720
9	3066	720
10	3261	720
11	3425	720
12	3614	720
13	3829	720
14	4059	720
15	4303	720
16	4568	720
17	4847	720
18	5147	720
19	5461	720
20	5531	720
21	7479	720
22	7766	720

Stop Event

1×	node limit

Counts

238 → 178

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)))

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

localize20.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(.f64 a (.f64 x a))
✓	3.3b	(.f64 (.f64 1/2 (.f64 a (.f64 x a))) x)
✓	4.2b	(+.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) x) (*.f64 x a))

Compiler

Compiled 42 to 14 computations (66.7% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite126.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`log-prod_binary64`
434×	`fma-def_binary64`
387×	`exp-prod_binary64`
380×	`pow-prod-down_binary64`
262×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	196	24
2	2664	24

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

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

Outputs

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

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

simplify202.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

899×	`unswap-sqr_binary64`
738×	`fma-def_binary64`
700×	`sqr-pow_binary64`
530×	`fabs-mul_binary64`
498×	`cube-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	678
1	26	678
2	58	660
3	175	624
4	869	624
5	1742	624
6	2026	624
7	2268	624
8	2545	624
9	2716	624
10	2909	624
11	4369	624
12	4662	624
13	4958	624
14	5316	624
15	5737	624
16	6352	624
17	7122	624
18	7614	624
19	7994	624

Stop Event

1×	node limit

Counts

156 → 113

Calls

Call 1

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

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

eval254.0ms (6.6%)

Compiler: Compiled 5360 to 2444 computations (54.4% saved)

prune43.0ms (1.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	319	0	319
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	319	4	323

Error

Counts

323 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(expm1.f64 (*.f64 a x))
✓	22.0b	(+.f64 (.f64 (.f64 1/2 (.f64 a (.f64 x a))) x) (*.f64 x a))
✓	22.0b	(.f64 x (+.f64 (.f64 1/2 (.f64 a (.f64 x a))) a))
✓	21.6b	(*.f64 a x)

Compiler

Compiled 39 to 23 computations (41% saved)

regimes42.0ms (1.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

24.0ms	(exp.f64 (*.f64 a x))
5.0ms	x
5.0ms	a
4.0ms	(*.f64 a x)
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Results

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

Compiler

Compiled 74 to 38 computations (48.6% saved)

regimes13.0ms (0.3%)

Accuracy

Total -0.9b remaining (-4.1%)

Threshold costs -0.9b (-4.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 a x)

Calls

3 calls:

5.0ms	a
4.0ms	x
3.0ms	(*.f64 a x)

Results

Error	Segments	Branch
21.6b	1	`a`
21.6b	1	`x`
21.6b	1	`(*.f64 a x)`

Compiler

Compiled 40 to 20 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	6	10

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

soundness135.0ms (3.5%)

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)

end31.0ms (0.8%)

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

Details

analyze30.0ms (0.8%)

sample1.8s (46%)

preprocess61.0ms (1.6%)

simplify79.0ms (2%)

eval1.0ms (0%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

series5.0ms (0.1%)

rewrite70.0ms (1.8%)

simplify85.0ms (2.2%)

eval14.0ms (0.4%)

prune11.0ms (0.3%)

localize7.0ms (0.2%)

localize24.0ms (0.6%)

series17.0ms (0.4%)

rewrite93.0ms (2.4%)

simplify320.0ms (8.3%)

eval30.0ms (0.8%)

prune13.0ms (0.3%)

localize14.0ms (0.4%)

series6.0ms (0.2%)

rewrite83.0ms (2.1%)

simplify234.0ms (6.1%)

localize20.0ms (0.5%)

series7.0ms (0.2%)

rewrite126.0ms (3.3%)

simplify202.0ms (5.2%)

eval254.0ms (6.6%)

prune43.0ms (1.1%)

regimes42.0ms (1.1%)

regimes13.0ms (0.3%)

simplify3.0ms (0.1%)

soundness135.0ms (3.5%)

end31.0ms (0.8%)

Profiling