Details

analyze120.0ms (0.1%)

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)

sample1.2min (79.2%)

Results

34.3s	3803×	body	256	valid
34.0s	1774×	body	1024	valid
4.8s	1549×	body	2048	valid
929.0ms	1130×	body	512	valid
128.0ms	336×	body	256	infinite

Bogosity

preprocess44.0ms (0%)

Algorithm

2×	egg-herbie

Rules

4×	`rational_best-simplify-18`
2×	`swap-a-x`
2×	`rational_best-simplify-3`
2×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	15	34
2	16	34
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

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

Symmetry

(sort a x)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify82.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-3`
2×	`rational_best-simplify-1`
2×	`rational_best-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	12	17
2	13	17

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 14 to 8 computations (42.9% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

31.6b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.6b	(-.f64 (exp.f64 (*.f64 a x)) 1)

Compiler

Compiled 8 to 6 computations (25% saved)

localize21.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (*.f64 a x))
✓	4.0b	(-.f64 (exp.f64 (*.f64 a x)) 1)

Compiler

Compiled 18 to 7 computations (61.1% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

12 calls:

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

rewrite307.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1366×	`rational_best-4`
1366×	`rational_best-2`
1366×	`rational_best-3`
1366×	`rational_best-1`
1366×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	58	28
2	107	28
3	270	28
4	832	28
5	3600	28

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (.f64 a x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (exp.f64 (.f64 a x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 (.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2) (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (+.f64 -1 (/.f64 (exp.f64 (.f64 a x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (exp.f64 (.f64 a x)) 2)) (/.f64 (exp.f64 (.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (+.f64 (exp.f64 (.f64 a x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (.f64 a x)) -1/2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) -1/4) (+.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2) (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) -1/4) (/.f64 (.f64 3 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) -1/4) (/.f64 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2) (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) -1/4)) (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 3 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2)) 2) (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 3) 4) (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -1 (.f64 (exp.f64 (.f64 a x)) 2)) 4) (/.f64 (+.f64 -1 (+.f64 (.f64 (exp.f64 (.f64 a x)) 2) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -1 (+.f64 (.f64 (exp.f64 (.f64 a x)) 2) -2)) 4) (/.f64 (+.f64 -1 (.f64 (exp.f64 (.f64 a x)) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (exp.f64 (.f64 a x)) -2) 4) (/.f64 (-.f64 (.f64 (exp.f64 (.f64 a x)) 3) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (.f64 (exp.f64 (.f64 a x)) 3) 2) 4) (/.f64 (+.f64 (exp.f64 (.f64 a x)) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (exp.f64 (.f64 a x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (exp.f64 (.f64 a x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (exp.f64 (.f64 a x)) 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (exp.f64 (.f64 a x)) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (+.f64 1/2 (/.f64 (exp.f64 (.f64 a x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 2 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (exp.f64 (.f64 a x)) 2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4)) (.f64 2 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (+.f64 (.f64 (exp.f64 (.f64 a x)) 2) -2) 2) (.f64 (exp.f64 (.f64 a x)) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (.f64 a x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (/.f64 (exp.f64 (.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 (.f64 a x)) 4) (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (/.f64 (exp.f64 (.f64 a x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 (.f64 a x)) 4) (/.f64 (.f64 3 (/.f64 (exp.f64 (.f64 a x)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 (.f64 a x)) 4) (/.f64 (.f64 (exp.f64 (.f64 a x)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (/.f64 (exp.f64 (.f64 a x)) 4)) (/.f64 (exp.f64 (.f64 a x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 3 (/.f64 (exp.f64 (.f64 a x)) 2)) 2) (/.f64 (exp.f64 (.f64 a x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (exp.f64 (.f64 a x)) 3) 4) (/.f64 (exp.f64 (.f64 a x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fabs.f64 (/.f64 (exp.f64 (.f64 a x)) 2)) (fabs.f64 (/.f64 (exp.f64 (.f64 a x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (.f64 a x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (/.f64 (exp.f64 (.f64 a x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (/.f64 (exp.f64 (.f64 a x)) 4)) (neg.f64 (/.f64 (exp.f64 (.f64 a x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 3 (/.f64 (exp.f64 (.f64 a x)) 2)) 2) (/.f64 (/.f64 (exp.f64 (.f64 a x)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (exp.f64 (.f64 a x)) 3) 4) (/.f64 (neg.f64 (exp.f64 (.f64 a x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (.f64 a x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (exp.f64 (.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (exp.f64 (.f64 a x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (exp.f64 (.f64 a x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (exp.f64 (.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (exp.f64 (.f64 a x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 (exp.f64 (.f64 a x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (exp.f64 (.f64 a x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (exp.f64 (.f64 a x)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (.f64 a (.f64 x 1/2))) (exp.f64 (.f64 a (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (exp.f64 (.f64 a x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 2 (.f64 (exp.f64 (.f64 a x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (.f64 a x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (.f64 a x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (.f64 a x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (exp.f64 (.f64 a x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (exp.f64 (.f64 a x)) 4)) (.f64 2 (.f64 (exp.f64 (.f64 a x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (.f64 a x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (exp.f64 (*.f64 a x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 a x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (exp.f64 (*.f64 a x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) -1/2) (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) (+.f64 -1 (/.f64 (exp.f64 (*.f64 a x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (exp.f64 (*.f64 a x)) 2)) (/.f64 (exp.f64 (*.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (+.f64 (exp.f64 (*.f64 a x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (*.f64 a x)) -1/2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) -1/4) (+.f64 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) -1/2) (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) -1/4) (/.f64 (*.f64 3 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) -1/4) (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) -1/2) (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) -1/4)) (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 3 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) -1/2)) 2) (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 3) 4) (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -1 (*.f64 (exp.f64 (*.f64 a x)) 2)) 4) (/.f64 (+.f64 -1 (+.f64 (*.f64 (exp.f64 (*.f64 a x)) 2) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -1 (+.f64 (*.f64 (exp.f64 (*.f64 a x)) 2) -2)) 4) (/.f64 (+.f64 -1 (*.f64 (exp.f64 (*.f64 a x)) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (exp.f64 (*.f64 a x)) -2) 4) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 a x)) 3) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 a x)) 3) 2) 4) (/.f64 (+.f64 (exp.f64 (*.f64 a x)) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 (*.f64 a x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (exp.f64 (*.f64 a x)) 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (exp.f64 (*.f64 a x)) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (+.f64 1/2 (/.f64 (exp.f64 (*.f64 a x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (exp.f64 (*.f64 a x)) 2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 4)) (*.f64 2 (*.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 a x)) 2) -2) 2) (*.f64 (exp.f64 (*.f64 a x)) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 a x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) (/.f64 (exp.f64 (*.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) (/.f64 (exp.f64 (*.f64 a x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) (/.f64 (*.f64 3 (/.f64 (exp.f64 (*.f64 a x)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) (/.f64 (*.f64 (exp.f64 (*.f64 a x)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) (/.f64 (exp.f64 (*.f64 a x)) 4)) (/.f64 (exp.f64 (*.f64 a x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 3 (/.f64 (exp.f64 (*.f64 a x)) 2)) 2) (/.f64 (exp.f64 (*.f64 a x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (exp.f64 (*.f64 a x)) 3) 4) (/.f64 (exp.f64 (*.f64 a x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fabs.f64 (/.f64 (exp.f64 (*.f64 a x)) 2)) (fabs.f64 (/.f64 (exp.f64 (*.f64 a x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (*.f64 a x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) (/.f64 (exp.f64 (*.f64 a x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) (/.f64 (exp.f64 (*.f64 a x)) 4)) (neg.f64 (/.f64 (exp.f64 (*.f64 a x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 3 (/.f64 (exp.f64 (*.f64 a x)) 2)) 2) (/.f64 (/.f64 (exp.f64 (*.f64 a x)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (exp.f64 (*.f64 a x)) 3) 4) (/.f64 (neg.f64 (exp.f64 (*.f64 a x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 a x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (exp.f64 (*.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (exp.f64 (*.f64 a x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (*.f64 a x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (exp.f64 (*.f64 a x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (*.f64 a x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (exp.f64 (*.f64 a x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (exp.f64 (*.f64 a x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (exp.f64 (*.f64 a x)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 a (*.f64 x 1/2))) (exp.f64 (*.f64 a (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (*.f64 a x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (*.f64 (exp.f64 (*.f64 a x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (*.f64 a x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 a x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 a x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (exp.f64 (*.f64 a x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (exp.f64 (*.f64 a x)) 4)) (*.f64 2 (*.f64 (exp.f64 (*.f64 a x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 a x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (exp.f64 (*.f64 a x)))))))

simplify492.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1468×	`rational_best-simplify-75`
1434×	`rational_best-simplify-76`
1130×	`rational_best-simplify-3`
740×	`rational_best-simplify-56`
728×	`rational_best-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	165	1795
1	380	1747
2	1014	1747
3	3756	1747

Stop Event

1×	node limit

Counts

89 → 99

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 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))))))
1
(+.f64 1 (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 1 (*.f64 a x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 1 (*.f64 a x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(+.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 0)
(+.f64 0 (+.f64 (exp.f64 (*.f64 a x)) -1))
(+.f64 -1 (exp.f64 (*.f64 a x)))
(+.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2) (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2))
(+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (+.f64 -1 (/.f64 (exp.f64 (.f64 a x)) 2)))
(+.f64 (+.f64 -1 (/.f64 (exp.f64 (.f64 a x)) 2)) (/.f64 (exp.f64 (.f64 a x)) 2))
(+.f64 -1/2 (+.f64 (exp.f64 (*.f64 a x)) -1/2))
(+.f64 (+.f64 (exp.f64 (*.f64 a x)) -1/2) -1/2)
(+.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) -1/4) (+.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2) (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) -1/4)))
(+.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) -1/4) (/.f64 (.f64 3 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) -1/2)) 2))
(+.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) -1/4) (/.f64 (.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 3) 4))
(+.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2) (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) -1/4)) (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) -1/4))
(+.f64 (/.f64 (.f64 3 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2)) 2) (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) -1/4))
(+.f64 (/.f64 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 3) 4) (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) -1/4))
(+.f64 (/.f64 (+.f64 -1 (.f64 (exp.f64 (.f64 a x)) 2)) 4) (/.f64 (+.f64 -1 (+.f64 (.f64 (exp.f64 (.f64 a x)) 2) -2)) 4))
(+.f64 (/.f64 (+.f64 -1 (+.f64 (.f64 (exp.f64 (.f64 a x)) 2) -2)) 4) (/.f64 (+.f64 -1 (.f64 (exp.f64 (.f64 a x)) 2)) 4))
(+.f64 (/.f64 (+.f64 (exp.f64 (.f64 a x)) -2) 4) (/.f64 (-.f64 (.f64 (exp.f64 (*.f64 a x)) 3) 2) 4))
(+.f64 (/.f64 (-.f64 (.f64 (exp.f64 (.f64 a x)) 3) 2) 4) (/.f64 (+.f64 (exp.f64 (*.f64 a x)) -2) 4))
(.f64 1 (+.f64 (exp.f64 (.f64 a x)) -1))
(.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 1)
(.f64 2 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2))
(.f64 2 (.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 1/2))
(.f64 (+.f64 (.f64 (exp.f64 (*.f64 a x)) 2) -2) 1/2)
(.f64 1/2 (+.f64 (.f64 (exp.f64 (*.f64 a x)) 2) -2))
(.f64 (.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 4) 1/4)
(.f64 -2 (+.f64 1/2 (/.f64 (exp.f64 (.f64 a x)) -2)))
(.f64 1/4 (.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 4))
(.f64 (.f64 2 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4)) 1/8)
(.f64 (.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 1/2) 2)
(.f64 1/8 (.f64 2 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4)))
(/.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 1)
(/.f64 (+.f64 (.f64 (exp.f64 (.f64 a x)) 2) -2) 2)
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4)) (.f64 2 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4))) 16)
(/.f64 (-.f64 (-.f64 (+.f64 (.f64 (exp.f64 (.f64 a x)) 2) -2) 2) (.f64 (exp.f64 (.f64 a x)) -2)) 4)
(pow.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 1)
(+.f64 (exp.f64 (*.f64 a x)) 0)
(+.f64 0 (exp.f64 (*.f64 a x)))
(+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (/.f64 (exp.f64 (.f64 a x)) 2))
(+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (/.f64 (exp.f64 (*.f64 a x)) 4)))
(+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) (/.f64 (.f64 3 (/.f64 (exp.f64 (*.f64 a x)) 2)) 2))
(+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) (/.f64 (.f64 (exp.f64 (*.f64 a x)) 3) 4))
(+.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (/.f64 (exp.f64 (.f64 a x)) 4)) (/.f64 (exp.f64 (*.f64 a x)) 4))
(+.f64 (/.f64 (.f64 3 (/.f64 (exp.f64 (.f64 a x)) 2)) 2) (/.f64 (exp.f64 (*.f64 a x)) 4))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 a x)) 3) 4) (/.f64 (exp.f64 (*.f64 a x)) 4))
(+.f64 (fabs.f64 (/.f64 (exp.f64 (.f64 a x)) 2)) (fabs.f64 (/.f64 (exp.f64 (.f64 a x)) 2)))
(-.f64 (exp.f64 (*.f64 a x)) 0)
(-.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (/.f64 (exp.f64 (.f64 a x)) -2))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (/.f64 (exp.f64 (.f64 a x)) 4)) (neg.f64 (/.f64 (exp.f64 (*.f64 a x)) 4)))
(-.f64 (/.f64 (.f64 3 (/.f64 (exp.f64 (.f64 a x)) 2)) 2) (/.f64 (/.f64 (exp.f64 (*.f64 a x)) -2) 2))
(-.f64 (/.f64 (.f64 (exp.f64 (.f64 a x)) 3) 4) (/.f64 (neg.f64 (exp.f64 (*.f64 a x))) 4))
(.f64 (exp.f64 (.f64 a x)) 1)
(.f64 1 (exp.f64 (.f64 a x)))
(.f64 2 (/.f64 (exp.f64 (.f64 a x)) 2))
(.f64 2 (.f64 (exp.f64 (*.f64 a x)) 1/2))
(.f64 (.f64 (exp.f64 (*.f64 a x)) 2) 1/2)
(.f64 1/2 (.f64 (exp.f64 (*.f64 a x)) 2))
(.f64 (.f64 (exp.f64 (*.f64 a x)) 4) 1/4)
(.f64 -2 (/.f64 (exp.f64 (.f64 a x)) -2))
(.f64 1/4 (.f64 (exp.f64 (*.f64 a x)) 4))
(.f64 (.f64 2 (.f64 (exp.f64 (.f64 a x)) 4)) 1/8)
(.f64 (exp.f64 (.f64 a (.f64 x 1/2))) (exp.f64 (.f64 a (*.f64 x 1/2))))
(.f64 (.f64 (exp.f64 (*.f64 a x)) 1/2) 2)
(.f64 1/8 (.f64 2 (.f64 (exp.f64 (.f64 a x)) 4)))
(/.f64 (exp.f64 (*.f64 a x)) 1)
(/.f64 (.f64 (exp.f64 (.f64 a x)) 2) 2)
(/.f64 (.f64 (exp.f64 (.f64 a x)) 4) 4)
(/.f64 (.f64 2 (.f64 (exp.f64 (*.f64 a x)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (exp.f64 (.f64 a x)) 4)) (.f64 2 (.f64 (exp.f64 (.f64 a x)) 4))) 16)
(pow.f64 (exp.f64 (*.f64 a x)) 1)
(fabs.f64 (exp.f64 (*.f64 a x)))

Outputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 a x) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(+.f64 (+.f64 (.f64 a x) (.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))))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))))
(+.f64 (.f64 a x) (+.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/24 (pow.f64 (.f64 a x) 4)) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))))
(+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 a x) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(+.f64 (+.f64 (.f64 a x) (.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))))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))))
(+.f64 (.f64 a x) (+.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4))) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/24 (pow.f64 (.f64 a x) 4)) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))))
(+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/24 (pow.f64 (*.f64 a x) 4)))))
1
(+.f64 1 (*.f64 a x))
(+.f64 (*.f64 a x) 1)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 1 (*.f64 a x)))
(+.f64 (.f64 a x) (+.f64 1 (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 a x) (+.f64 (.f64 1/2 (pow.f64 (*.f64 a x) 2)) 1))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (*.f64 a x) 1)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (+.f64 1 (.f64 1/6 (pow.f64 (*.f64 a x) 3)))))
(+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (*.f64 a x) 2)) 1)))
1
(+.f64 1 (*.f64 a x))
(+.f64 (*.f64 a x) 1)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 1 (*.f64 a x)))
(+.f64 (.f64 a x) (+.f64 1 (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 a x) (+.f64 (.f64 1/2 (pow.f64 (*.f64 a x) 2)) 1))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3))))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (*.f64 a x) 1)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (+.f64 1 (.f64 1/6 (pow.f64 (*.f64 a x) 3)))))
(+.f64 (.f64 a x) (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 1/2 (pow.f64 (*.f64 a x) 2)) 1)))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(+.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 0)
(+.f64 (exp.f64 (*.f64 a x)) -1)
(+.f64 0 (+.f64 (exp.f64 (*.f64 a x)) -1))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(+.f64 -1 (exp.f64 (*.f64 a x)))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(+.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2) (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (+.f64 -1 (/.f64 (exp.f64 (.f64 a x)) 2)))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(+.f64 (+.f64 -1 (/.f64 (exp.f64 (.f64 a x)) 2)) (/.f64 (exp.f64 (.f64 a x)) 2))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(+.f64 -1/2 (+.f64 (exp.f64 (*.f64 a x)) -1/2))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(+.f64 (+.f64 (exp.f64 (*.f64 a x)) -1/2) -1/2)
(+.f64 (exp.f64 (*.f64 a x)) -1)
(+.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) -1/4) (+.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2) (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) -1/4)))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(+.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) -1/4) (/.f64 (.f64 3 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) -1/2)) 2))
(+.f64 -1/4 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) (/.f64 (.f64 3 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) -1/2)) 2)))
(+.f64 -1/4 (/.f64 (+.f64 (exp.f64 (.f64 a x)) (.f64 3 (+.f64 (exp.f64 (*.f64 a x)) -1))) 4))
(+.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) -1/4) (/.f64 (.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 3) 4))
(+.f64 -1/4 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) (/.f64 (.f64 3 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) -1/2)) 2)))
(+.f64 -1/4 (/.f64 (+.f64 (exp.f64 (.f64 a x)) (.f64 3 (+.f64 (exp.f64 (*.f64 a x)) -1))) 4))
(+.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2) (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) -1/4)) (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) -1/4))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(+.f64 (/.f64 (.f64 3 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2)) 2) (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) -1/4))
(+.f64 -1/4 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) (/.f64 (.f64 3 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) -1/2)) 2)))
(+.f64 -1/4 (/.f64 (+.f64 (exp.f64 (.f64 a x)) (.f64 3 (+.f64 (exp.f64 (*.f64 a x)) -1))) 4))
(+.f64 (/.f64 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 3) 4) (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 4) -1/4))
(+.f64 -1/4 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) (/.f64 (.f64 3 (+.f64 (/.f64 (exp.f64 (*.f64 a x)) 2) -1/2)) 2)))
(+.f64 -1/4 (/.f64 (+.f64 (exp.f64 (.f64 a x)) (.f64 3 (+.f64 (exp.f64 (*.f64 a x)) -1))) 4))
(+.f64 (/.f64 (+.f64 -1 (.f64 (exp.f64 (.f64 a x)) 2)) 4) (/.f64 (+.f64 -1 (+.f64 (.f64 (exp.f64 (.f64 a x)) 2) -2)) 4))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(+.f64 (/.f64 (+.f64 -1 (+.f64 (.f64 (exp.f64 (.f64 a x)) 2) -2)) 4) (/.f64 (+.f64 -1 (.f64 (exp.f64 (.f64 a x)) 2)) 4))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(+.f64 (/.f64 (+.f64 (exp.f64 (.f64 a x)) -2) 4) (/.f64 (-.f64 (.f64 (exp.f64 (*.f64 a x)) 3) 2) 4))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(+.f64 (/.f64 (-.f64 (.f64 (exp.f64 (.f64 a x)) 3) 2) 4) (/.f64 (+.f64 (exp.f64 (*.f64 a x)) -2) 4))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(.f64 1 (+.f64 (exp.f64 (.f64 a x)) -1))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 1)
(+.f64 (exp.f64 (*.f64 a x)) -1)
(.f64 2 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) -1/2))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(.f64 2 (.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 1/2))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(.f64 (+.f64 (.f64 (exp.f64 (*.f64 a x)) 2) -2) 1/2)
(+.f64 (exp.f64 (*.f64 a x)) -1)
(.f64 1/2 (+.f64 (.f64 (exp.f64 (*.f64 a x)) 2) -2))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(.f64 (.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 4) 1/4)
(+.f64 (exp.f64 (*.f64 a x)) -1)
(.f64 -2 (+.f64 1/2 (/.f64 (exp.f64 (.f64 a x)) -2)))
(.f64 1/4 (.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 4))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(.f64 (.f64 2 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4)) 1/8)
(+.f64 (exp.f64 (*.f64 a x)) -1)
(.f64 (.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 1/2) 2)
(+.f64 (exp.f64 (*.f64 a x)) -1)
(.f64 1/8 (.f64 2 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4)))
(+.f64 (exp.f64 (*.f64 a x)) -1)
(/.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 1)
(+.f64 (exp.f64 (*.f64 a x)) -1)
(/.f64 (+.f64 (.f64 (exp.f64 (.f64 a x)) 2) -2) 2)
(+.f64 (exp.f64 (*.f64 a x)) -1)
(/.f64 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4) 4)
(+.f64 (exp.f64 (*.f64 a x)) -1)
(/.f64 (.f64 2 (.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 4)) 8)
(+.f64 (exp.f64 (*.f64 a x)) -1)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4)) (.f64 2 (.f64 (+.f64 (exp.f64 (.f64 a x)) -1) 4))) 16)
(+.f64 (exp.f64 (*.f64 a x)) -1)
(/.f64 (-.f64 (-.f64 (+.f64 (.f64 (exp.f64 (.f64 a x)) 2) -2) 2) (.f64 (exp.f64 (.f64 a x)) -2)) 4)
(+.f64 (exp.f64 (*.f64 a x)) -1)
(pow.f64 (+.f64 (exp.f64 (*.f64 a x)) -1) 1)
(+.f64 (exp.f64 (*.f64 a x)) -1)
(+.f64 (exp.f64 (*.f64 a x)) 0)
(exp.f64 (*.f64 a x))
(+.f64 0 (exp.f64 (*.f64 a x)))
(exp.f64 (*.f64 a x))
(+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (/.f64 (exp.f64 (.f64 a x)) 2))
(exp.f64 (*.f64 a x))
(+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (/.f64 (exp.f64 (*.f64 a x)) 4)))
(exp.f64 (*.f64 a x))
(+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) (/.f64 (.f64 3 (/.f64 (exp.f64 (*.f64 a x)) 2)) 2))
(exp.f64 (*.f64 a x))
(+.f64 (/.f64 (exp.f64 (.f64 a x)) 4) (/.f64 (.f64 (exp.f64 (*.f64 a x)) 3) 4))
(exp.f64 (*.f64 a x))
(+.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (/.f64 (exp.f64 (.f64 a x)) 4)) (/.f64 (exp.f64 (*.f64 a x)) 4))
(exp.f64 (*.f64 a x))
(+.f64 (/.f64 (.f64 3 (/.f64 (exp.f64 (.f64 a x)) 2)) 2) (/.f64 (exp.f64 (*.f64 a x)) 4))
(exp.f64 (*.f64 a x))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 a x)) 3) 4) (/.f64 (exp.f64 (*.f64 a x)) 4))
(exp.f64 (*.f64 a x))
(+.f64 (fabs.f64 (/.f64 (exp.f64 (.f64 a x)) 2)) (fabs.f64 (/.f64 (exp.f64 (.f64 a x)) 2)))
(exp.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 0)
(exp.f64 (*.f64 a x))
(-.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (/.f64 (exp.f64 (.f64 a x)) -2))
(exp.f64 (*.f64 a x))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 a x)) 2) (/.f64 (exp.f64 (.f64 a x)) 4)) (neg.f64 (/.f64 (exp.f64 (*.f64 a x)) 4)))
(exp.f64 (*.f64 a x))
(-.f64 (/.f64 (.f64 3 (/.f64 (exp.f64 (.f64 a x)) 2)) 2) (/.f64 (/.f64 (exp.f64 (*.f64 a x)) -2) 2))
(exp.f64 (*.f64 a x))
(-.f64 (/.f64 (.f64 (exp.f64 (.f64 a x)) 3) 4) (/.f64 (neg.f64 (exp.f64 (*.f64 a x))) 4))
(exp.f64 (*.f64 a x))
(.f64 (exp.f64 (.f64 a x)) 1)
(exp.f64 (*.f64 a x))
(.f64 1 (exp.f64 (.f64 a x)))
(exp.f64 (*.f64 a x))
(.f64 2 (/.f64 (exp.f64 (.f64 a x)) 2))
(exp.f64 (*.f64 a x))
(.f64 2 (.f64 (exp.f64 (*.f64 a x)) 1/2))
(exp.f64 (*.f64 a x))
(.f64 (.f64 (exp.f64 (*.f64 a x)) 2) 1/2)
(exp.f64 (*.f64 a x))
(.f64 1/2 (.f64 (exp.f64 (*.f64 a x)) 2))
(exp.f64 (*.f64 a x))
(.f64 (.f64 (exp.f64 (*.f64 a x)) 4) 1/4)
(exp.f64 (*.f64 a x))
(.f64 -2 (/.f64 (exp.f64 (.f64 a x)) -2))
(exp.f64 (*.f64 a x))
(.f64 1/4 (.f64 (exp.f64 (*.f64 a x)) 4))
(exp.f64 (*.f64 a x))
(.f64 (.f64 2 (.f64 (exp.f64 (.f64 a x)) 4)) 1/8)
(exp.f64 (*.f64 a x))
(.f64 (exp.f64 (.f64 a (.f64 x 1/2))) (exp.f64 (.f64 a (*.f64 x 1/2))))
(exp.f64 (*.f64 a x))
(.f64 (.f64 (exp.f64 (*.f64 a x)) 1/2) 2)
(exp.f64 (*.f64 a x))
(.f64 1/8 (.f64 2 (.f64 (exp.f64 (.f64 a x)) 4)))
(exp.f64 (*.f64 a x))
(/.f64 (exp.f64 (*.f64 a x)) 1)
(exp.f64 (*.f64 a x))
(/.f64 (.f64 (exp.f64 (.f64 a x)) 2) 2)
(exp.f64 (*.f64 a x))
(/.f64 (.f64 (exp.f64 (.f64 a x)) 4) 4)
(exp.f64 (*.f64 a x))
(/.f64 (.f64 2 (.f64 (exp.f64 (*.f64 a x)) 4)) 8)
(exp.f64 (*.f64 a x))
(/.f64 (+.f64 (.f64 2 (.f64 (exp.f64 (.f64 a x)) 4)) (.f64 2 (.f64 (exp.f64 (.f64 a x)) 4))) 16)
(exp.f64 (*.f64 a x))
(pow.f64 (exp.f64 (*.f64 a x)) 1)
(exp.f64 (*.f64 a x))
(fabs.f64 (exp.f64 (*.f64 a x)))
(exp.f64 (*.f64 a x))

eval487.0ms (0.5%)

Compiler: Compiled 1450 to 837 computations (42.3% saved)

prune119.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	5	100

Error

0.0b

Counts

100 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.6b	(-.f64 (exp.f64 (*.f64 a x)) 1)
▶	50.9b	(-.f64 1 1)
▶	18.7b	(+.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))
▶	19.2b	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
▶	18.6b	(*.f64 a x)

Compiler

Compiled 52 to 35 computations (32.7% saved)

localize5.0ms (0%)

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

localize41.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (pow.f64 (.f64 a x) 2))
✓	0.2b	(pow.f64 (*.f64 a x) 2)
✓	3.2b	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))

Compiler

Compiled 32 to 16 computations (50% saved)

series174.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
165.0ms	a	@	0	(pow.f64 (*.f64 a x) 2)
1.0ms	x	@	inf	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
1.0ms	a	@	0	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
1.0ms	a	@	inf	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
1.0ms	x	@	0	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))

rewrite571.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`rational_best-simplify-1`
732×	`rational_best-simplify-83`
632×	`rational_best-simplify-47`
552×	`rational_best-simplify-48`
540×	`rational_best-simplify-63`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	63
1	71	63
2	148	63
3	353	63
4	1208	63
5	7307	63

Stop Event

1×	node limit

Counts

3 → 192

Calls

Call 1

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

Outputs
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Outputs

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1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x x) 2) (pow.f64 (*.f64 a 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 a 2) 4) (pow.f64 (*.f64 x 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 1/2) 2) (*.f64 (pow.f64 a 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a 1/2) 2) (pow.f64 (+.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) 4) (*.f64 2 (*.f64 2 (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (pow.f64 x 2)) 2) (*.f64 2 (*.f64 2 (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (pow.f64 (*.f64 a (*.f64 x 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2))) (pow.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (pow.f64 (+.f64 x x) 2)) (*.f64 (*.f64 1/2 (pow.f64 a 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 a 2) 4) (*.f64 (pow.f64 a 2) 4)) (*.f64 1/4 (/.f64 (pow.f64 x 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 (pow.f64 a 2)) 1/4) (+.f64 (pow.f64 (+.f64 x x) 2) (pow.f64 (+.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (*.f64 2 (*.f64 2 (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (/.f64 (pow.f64 x 2) 2)) (+.f64 (*.f64 (pow.f64 a 2) 4) (*.f64 (pow.f64 a 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 2 (*.f64 2 (pow.f64 a 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 4) 2) (pow.f64 (/.f64 a 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 4) 2) (pow.f64 (*.f64 a 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 x 1/2)) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 a 4) 2) (pow.f64 (*.f64 x 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a 1/4) 2) (pow.f64 (*.f64 x 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a 4) 2) (pow.f64 (/.f64 x 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a 4) 2) (pow.f64 (*.f64 x 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x 4) 2) (pow.f64 (*.f64 a 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 1/4) 2) (pow.f64 (*.f64 a 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 x 4)) 2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 a x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 a x) 2) -1/2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (*.f64 a x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 a x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 a x) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 a x) 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 a x) 2) 4)) (*.f64 2 (*.f64 (pow.f64 (*.f64 a x) 2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 2 (pow.f64 x 2))) (*.f64 2 (*.f64 2 (pow.f64 a 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (*.f64 a x) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)) 0)))) (#(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 (/.f64 (pow.f64 (*.f64 a x) 2) 4) (/.f64 (pow.f64 (*.f64 a x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 8) (+.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 8) (/.f64 (pow.f64 (*.f64 a x) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 8) (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 4) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 8) (/.f64 (*.f64 (pow.f64 (*.f64 a x) 2) 3/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 8) (/.f64 (*.f64 (pow.f64 (*.f64 a x) 2) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (*.f64 a x) 2) (*.f64 1/2 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 (*.f64 a x) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 4) (/.f64 (pow.f64 (*.f64 a x) 2) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 8) (/.f64 (*.f64 3/2 (neg.f64 (pow.f64 (*.f64 a x) 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 8) (/.f64 (pow.f64 (*.f64 a x) 2) 4)) (neg.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 4) 3) 2) (/.f64 (/.f64 (pow.f64 (*.f64 a x) 2) -4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (*.f64 a x) 2) 3/2) 4) (/.f64 (*.f64 (pow.f64 (*.f64 a x) 2) -1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (*.f64 a x) 2) 3) 8) (/.f64 (neg.f64 (pow.f64 (*.f64 a x) 2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 a x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (pow.f64 (*.f64 a x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 a x) 2) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (*.f64 a x) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 a x) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 a x) 2) 4)) 16)))) (#(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 neg.f64 (*.f64 (pow.f64 (*.f64 a x) 2) -1/2))))))

simplify514.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

996×	`rational_best-simplify-1`
910×	`rational_best-simplify-65`
876×	`rational_best-simplify-63`
692×	`rational_best-simplify-75`
680×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	392	6704
1	937	6656
2	2887	6510

Stop Event

1×	node limit

Counts

264 → 244

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) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(-.f64 (.f64 a x) (.f64 (pow.f64 (*.f64 a x) 2) -1/2))
(-.f64 (.f64 a x) (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (pow.f64 (.f64 a x) 2)))
(-.f64 (.f64 a x) (+.f64 (+.f64 (.f64 a x) (.f64 (pow.f64 (.f64 a x) 2) -1/2)) (neg.f64 (*.f64 a x))))
(-.f64 (pow.f64 (.f64 a x) 2) (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 a x)))
(-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (neg.f64 (*.f64 a x)))
(-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))))
(-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))) 0))
(-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (/.f64 (-.f64 (.f64 (.f64 a x) -2) (pow.f64 (.f64 a x) 2)) 4) (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (*.f64 a x) -2))))
(-.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))) 0)
(-.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) (+.f64 (/.f64 (-.f64 (.f64 (.f64 a x) -2) (pow.f64 (.f64 a x) 2)) 4) (+.f64 (.f64 a (.f64 x 1/2)) (/.f64 (pow.f64 (*.f64 a x) 2) 4))))
(-.f64 0 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (*.f64 a x)))
(-.f64 0 (+.f64 (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 a x)) (neg.f64 (pow.f64 (.f64 a x) 2))))
(-.f64 0 (+.f64 (+.f64 (.f64 a x) (.f64 (pow.f64 (.f64 a x) 2) -1/2)) (.f64 (*.f64 a x) -2)))
(-.f64 (.f64 2 (pow.f64 (.f64 a x) 2)) (+.f64 (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 a x)) (pow.f64 (.f64 a x) 2)))
(-.f64 (.f64 a (+.f64 x x)) (+.f64 (.f64 a x) (.f64 (pow.f64 (.f64 a x) 2) -1/2)))
(-.f64 (.f64 a (+.f64 x x)) (+.f64 (+.f64 (.f64 a x) (.f64 (pow.f64 (.f64 a x) 2) -1/2)) 0))
(-.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(-.f64 (.f64 a (.f64 x 1/2)) (neg.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 2)))
(-.f64 (.f64 a (.f64 x 1/2)) (+.f64 (+.f64 (.f64 a x) (.f64 (pow.f64 (.f64 a x) 2) -1/2)) (.f64 (.f64 a (.f64 x 1/2)) -3)))
(-.f64 (.f64 a (.f64 x 1/2)) (+.f64 (/.f64 (.f64 a x) -2) (.f64 (pow.f64 (*.f64 a x) 2) -1/2)))
(-.f64 (.f64 a (.f64 x 1/2)) (/.f64 (-.f64 (neg.f64 (.f64 a x)) (pow.f64 (.f64 a x) 2)) 2))
(-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (-.f64 (/.f64 (pow.f64 (.f64 a x) 2) -4) (*.f64 a x)))
(-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) -4) (neg.f64 (*.f64 a x))))
(-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 a x))) (/.f64 (pow.f64 (*.f64 a x) 2) -4)))
(-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (.f64 a (+.f64 x x))) 2))
(-.f64 (+.f64 (.f64 a (.f64 x 1/2)) (/.f64 (pow.f64 (.f64 a x) 2) 4)) (/.f64 (-.f64 (.f64 (.f64 a x) -2) (pow.f64 (.f64 a x) 2)) 4))
(-.f64 (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 a x)) (.f64 (*.f64 a x) -2))
(-.f64 (/.f64 (-.f64 (.f64 a x) (.f64 3 (.f64 (pow.f64 (.f64 a x) 2) -1/2))) 2) (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (.f64 a x) -2)))
(-.f64 (/.f64 (-.f64 (.f64 a x) (.f64 3 (.f64 (pow.f64 (.f64 a x) 2) -1/2))) 2) (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a (.f64 x 1/2)) (/.f64 (pow.f64 (*.f64 a x) 2) 4))))
(-.f64 (.f64 -3/2 (neg.f64 (.f64 a x))) (+.f64 (+.f64 (.f64 a x) (.f64 (pow.f64 (.f64 a x) 2) -1/2)) (/.f64 (.f64 a x) -2)))
(-.f64 (.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) 3) (-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (.f64 a x)))
(-.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 4)) (/.f64 (pow.f64 (*.f64 a x) 2) -4))
(-.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 4)) (-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(-.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 2) (/.f64 (*.f64 a x) -2))
(-.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (.f64 a x) 4)) (/.f64 (.f64 (+.f64 (.f64 a (.f64 x 1/2)) (/.f64 (pow.f64 (.f64 a x) 2) 4)) -3) 2))
(-.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (.f64 a x) 4)) (.f64 -3 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (*.f64 a x) 4))))
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (.f64 a x) 4)) (+.f64 (.f64 a (.f64 x 1/2)) (/.f64 (pow.f64 (.f64 a x) 2) 4))) (neg.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (*.f64 a x) 4))))
(-.f64 (+.f64 (/.f64 (.f64 a x) 4) (.f64 a (.f64 x 1/2))) (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (/.f64 (.f64 a x) 4)))
(-.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (pow.f64 (.f64 a x) 2) 4)) (-.f64 (neg.f64 (.f64 a x)) (/.f64 (pow.f64 (.f64 a x) 2) 8)))
(-.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) 3) (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 a x))) (/.f64 (pow.f64 (.f64 a x) 2) -4))
(-.f64 (-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (+.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 a x)))) (/.f64 (pow.f64 (*.f64 a x) 2) -4))
(-.f64 (-.f64 (.f64 a x) (+.f64 (.f64 a x) (.f64 (pow.f64 (.f64 a x) 2) -1/2))) (neg.f64 (*.f64 a x)))
(-.f64 (neg.f64 (+.f64 (.f64 a x) (.f64 (pow.f64 (.f64 a x) 2) -1/2))) (.f64 (*.f64 a x) -2))
(-.f64 (-.f64 (.f64 a (.f64 x 1/2)) (+.f64 (.f64 a x) (.f64 (pow.f64 (.f64 a x) 2) -1/2))) (.f64 (.f64 a (.f64 x 1/2)) -3))
(-.f64 (-.f64 (.f64 -3/2 (neg.f64 (.f64 a x))) (+.f64 (.f64 a x) (.f64 (pow.f64 (.f64 a x) 2) -1/2))) (/.f64 (.f64 a x) -2))
(-.f64 (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (/.f64 (-.f64 (.f64 (.f64 a x) -2) (pow.f64 (.f64 a x) 2)) 4)) (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (*.f64 a x) -2)))
(-.f64 (-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (-.f64 (.f64 (.f64 a x) -2) (pow.f64 (.f64 a x) 2)) 4)) (/.f64 (*.f64 a x) -2))
(-.f64 (neg.f64 (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 a x))) (neg.f64 (pow.f64 (.f64 a x) 2)))
(-.f64 (/.f64 (/.f64 (-.f64 (.f64 a x) (.f64 3 (.f64 (pow.f64 (.f64 a x) 2) -1/2))) 2) 2) (/.f64 (-.f64 (/.f64 (pow.f64 (.f64 a x) 2) -4) (.f64 -3/2 (neg.f64 (*.f64 a x)))) 2))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) 3) 4) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (*.f64 a x)) 4))
(-.f64 (/.f64 (.f64 3 (+.f64 (.f64 a (.f64 x 1/2)) (/.f64 (pow.f64 (.f64 a x) 2) 4))) 2) (/.f64 (/.f64 (-.f64 (.f64 (.f64 a x) -2) (pow.f64 (*.f64 a x) 2)) 4) 2))
(-.f64 (/.f64 (+.f64 (.f64 a x) (+.f64 (.f64 a (.f64 x 1/2)) (/.f64 (pow.f64 (.f64 a x) 2) 4))) 2) (/.f64 (+.f64 (.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) -3) (/.f64 (*.f64 a x) -2)) 2))
(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a x) 2) (+.f64 (.f64 a (.f64 x 1/2)) (/.f64 (pow.f64 (.f64 a x) 2) 4))) 2) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (.f64 a x) -2)) (*.f64 a x)) 2))
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (.f64 a x) 4)) (.f64 a (.f64 x 1/2))) (-.f64 (/.f64 (pow.f64 (.f64 a x) 2) -4) (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (*.f64 a x) 4))))
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (.f64 a x) 4)) (.f64 1/2 (pow.f64 (.f64 a x) 2))) (-.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (.f64 a x) -2)) (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (.f64 a x) 4))))
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (.f64 a x) 4)) (/.f64 (pow.f64 (.f64 a x) 2) 4)) (-.f64 (/.f64 (.f64 a x) -2) (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (.f64 a x) 4))))
(.f64 1/2 (+.f64 (pow.f64 (.f64 a x) 2) (*.f64 a (+.f64 x x))))
(.f64 2 (+.f64 (.f64 a (.f64 x 1/2)) (/.f64 (pow.f64 (.f64 a x) 2) 4)))
(.f64 2 (.f64 1/2 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))))
(.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) 1)
(.f64 1 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))))
(.f64 -1 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (.f64 a x)))
(.f64 -2 (/.f64 (-.f64 (.f64 (.f64 a x) -2) (pow.f64 (.f64 a x) 2)) 4))
(.f64 1/4 (.f64 -2 (-.f64 (.f64 (.f64 a x) -2) (pow.f64 (*.f64 a x) 2))))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (.f64 a x)) -1)
(.f64 (.f64 -2 (-.f64 (.f64 (.f64 a x) -2) (pow.f64 (*.f64 a x) 2))) 1/4)
(.f64 (+.f64 (pow.f64 (.f64 a x) 2) (*.f64 a (+.f64 x x))) 1/2)
(.f64 1/8 (.f64 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x))) 4))
(.f64 (.f64 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x))) 4) 1/8)
(.f64 (.f64 1/2 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))) 2)
(/.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))) 1)
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (*.f64 a x)) -1)
(/.f64 (.f64 -2 (-.f64 (.f64 (.f64 a x) -2) (pow.f64 (.f64 a x) 2))) 4)
(/.f64 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x))) 2)
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 a x) 2) (*.f64 a (+.f64 x x))) 4) 8)
(/.f64 (+.f64 (.f64 a (.f64 (+.f64 x x) 4)) (.f64 (pow.f64 (.f64 a x) 2) 4)) 8)
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) 4) (.f64 a (.f64 (+.f64 x x) 4))) 8)
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x))) 4) (.f64 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x))) 4)) 16)
(/.f64 (-.f64 (.f64 2 (pow.f64 (.f64 a x) 2)) (/.f64 (*.f64 a x) -1/4)) 4)
(/.f64 (-.f64 (.f64 a (.f64 x 4)) (.f64 (pow.f64 (.f64 a x) 2) -2)) 4)
(pow.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))) 1)
(neg.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (*.f64 a x)))
(neg.f64 (+.f64 (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 a x)) (neg.f64 (pow.f64 (.f64 a x) 2))))
(neg.f64 (+.f64 (+.f64 (.f64 a x) (.f64 (pow.f64 (.f64 a x) 2) -1/2)) (.f64 (*.f64 a x) -2)))
(+.f64 (pow.f64 (*.f64 a x) 2) 0)
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 0 (pow.f64 (*.f64 a x) 2))
(+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 4) 3))
(+.f64 (.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) 3) (/.f64 (pow.f64 (*.f64 a x) 2) 4))
(-.f64 (pow.f64 (*.f64 a x) 2) 0)
(-.f64 (pow.f64 (.f64 a x) 2) (+.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 (pow.f64 (.f64 a x) 2) -1/2))
(-.f64 0 (neg.f64 (pow.f64 (*.f64 a x) 2)))
(-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 4) -3))
(-.f64 (.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) 3) (/.f64 (pow.f64 (*.f64 a x) 2) -4))
(-.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (pow.f64 (.f64 a x) 2) 4)) (.f64 -5 (/.f64 (pow.f64 (.f64 a x) 2) 8)))
(.f64 1/2 (.f64 2 (pow.f64 (*.f64 a x) 2)))
(.f64 2 (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(.f64 (pow.f64 (.f64 a x) 2) 1)
(.f64 (.f64 1/2 (pow.f64 (*.f64 a x) 2)) 2)
(.f64 1 (pow.f64 (.f64 a x) 2))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(.f64 (pow.f64 a 2) (.f64 2 (*.f64 1/2 (pow.f64 x 2))))
(.f64 (pow.f64 a 2) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (pow.f64 a 2))
(.f64 -1 (neg.f64 (pow.f64 (.f64 a x) 2)))
(.f64 (.f64 1/2 (pow.f64 a 2)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 (pow.f64 (*.f64 a x) 2) -1/2) -2)
(.f64 (.f64 2 (pow.f64 (*.f64 a x) 2)) 1/2)
(.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 2 (pow.f64 a 2)))
(.f64 -2 (.f64 (pow.f64 (*.f64 a x) 2) -1/2))
(.f64 1/4 (.f64 (pow.f64 (*.f64 a x) 2) 4))
(.f64 (neg.f64 (pow.f64 (.f64 a x) 2)) -1)
(.f64 (.f64 2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 a 2)))
(.f64 (.f64 2 (pow.f64 a 2)) (*.f64 1/2 (pow.f64 x 2)))
(.f64 (.f64 2 (pow.f64 a 2)) (/.f64 (pow.f64 x 2) 2))
(.f64 (.f64 (pow.f64 (*.f64 a x) 2) 4) 1/4)
(.f64 4 (.f64 1/2 (.f64 1/2 (pow.f64 (.f64 a x) 2))))
(.f64 4 (pow.f64 (.f64 a (*.f64 x 1/2)) 2))
(.f64 (.f64 (pow.f64 (*.f64 a x) 2) -2) -1/2)
(.f64 (.f64 1/2 (.f64 1/2 (pow.f64 (.f64 a x) 2))) 4)
(.f64 (.f64 1/2 (.f64 1/2 (pow.f64 a 2))) (.f64 2 (*.f64 2 (pow.f64 x 2))))
(.f64 1/8 (.f64 2 (.f64 (pow.f64 (.f64 a x) 2) 4)))
(.f64 (/.f64 (pow.f64 a 2) 4) (.f64 2 (*.f64 2 (pow.f64 x 2))))
(.f64 -1/2 (.f64 (pow.f64 (*.f64 a x) 2) -2))
(.f64 (/.f64 (pow.f64 x 2) 2) (.f64 2 (pow.f64 a 2)))
(.f64 (.f64 2 (.f64 (pow.f64 (.f64 a x) 2) 4)) 1/8)
(.f64 (.f64 2 (.f64 2 (pow.f64 x 2))) (.f64 1/2 (*.f64 1/2 (pow.f64 a 2))))
(.f64 (.f64 2 (*.f64 2 (pow.f64 x 2))) (/.f64 (pow.f64 a 2) 4))
(.f64 (.f64 2 (*.f64 2 (pow.f64 a 2))) (/.f64 (pow.f64 x 2) 4))
(.f64 (.f64 2 (.f64 2 (pow.f64 a 2))) (/.f64 (.f64 1/2 (pow.f64 x 2)) 2))
(.f64 (.f64 2 (.f64 2 (pow.f64 a 2))) (.f64 1/2 (/.f64 (pow.f64 x 2) 2)))
(.f64 (.f64 2 (.f64 2 (pow.f64 a 2))) (.f64 (pow.f64 x 2) 1/4))
(.f64 (pow.f64 (+.f64 x x) 2) (pow.f64 (.f64 a 1/2) 2))
(.f64 (.f64 (pow.f64 a 2) 4) (pow.f64 (*.f64 x 1/2) 2))
(.f64 (pow.f64 (.f64 x 1/2) 2) (*.f64 (pow.f64 a 2) 4))
(.f64 (pow.f64 (.f64 a 1/2) 2) (pow.f64 (+.f64 x x) 2))
(.f64 (.f64 2 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 a 2))
(.f64 (/.f64 (pow.f64 x 2) 4) (.f64 2 (*.f64 2 (pow.f64 a 2))))
(.f64 (/.f64 (.f64 1/2 (pow.f64 x 2)) 2) (.f64 2 (.f64 2 (pow.f64 a 2))))
(.f64 1/16 (pow.f64 (.f64 a (*.f64 x 4)) 2))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2))) (pow.f64 a 2))
(.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (pow.f64 (+.f64 x x) 2)) (.f64 (*.f64 1/2 (pow.f64 a 2)) 1/4))
(.f64 (+.f64 (.f64 (pow.f64 a 2) 4) (.f64 (pow.f64 a 2) 4)) (.f64 1/4 (/.f64 (pow.f64 x 2) 2)))
(.f64 (.f64 (*.f64 1/2 (pow.f64 a 2)) 1/4) (+.f64 (pow.f64 (+.f64 x x) 2) (pow.f64 (+.f64 x x) 2)))
(.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (.f64 2 (.f64 2 (pow.f64 a 2))))
(.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) 2)) (+.f64 (.f64 (pow.f64 a 2) 4) (.f64 (pow.f64 a 2) 4)))
(.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 2 (.f64 2 (pow.f64 a 2))))
(.f64 (pow.f64 (.f64 x 4) 2) (pow.f64 (/.f64 a 4) 2))
(.f64 (pow.f64 (.f64 x 4) 2) (pow.f64 (*.f64 a 1/4) 2))
(.f64 (pow.f64 (.f64 a (*.f64 x 1/2)) 2) 4)
(.f64 (pow.f64 (/.f64 a 4) 2) (pow.f64 (.f64 x 4) 2))
(.f64 (pow.f64 (.f64 a 1/4) 2) (pow.f64 (*.f64 x 4) 2))
(.f64 (pow.f64 (.f64 a 4) 2) (pow.f64 (/.f64 x 4) 2))
(.f64 (pow.f64 (.f64 a 4) 2) (pow.f64 (*.f64 x 1/4) 2))
(.f64 (pow.f64 (/.f64 x 4) 2) (pow.f64 (.f64 a 4) 2))
(.f64 (pow.f64 (.f64 x 1/4) 2) (pow.f64 (*.f64 a 4) 2))
(.f64 (pow.f64 (.f64 a (*.f64 x 4)) 2) 1/16)
(/.f64 (pow.f64 (*.f64 a x) 2) 1)
(/.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) 1/2)
(/.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) -1/2)
(/.f64 (.f64 2 (pow.f64 (.f64 a x) 2)) 2)
(/.f64 (neg.f64 (pow.f64 (*.f64 a x) 2)) -1)
(/.f64 (.f64 (pow.f64 (.f64 a x) 2) 4) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (*.f64 a x) 2) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 a x) 2) 4)) (.f64 2 (.f64 (pow.f64 (.f64 a x) 2) 4))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 x 2))) (.f64 2 (*.f64 2 (pow.f64 a 2)))) 16)
(neg.f64 (neg.f64 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) 0)
(+.f64 0 (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (pow.f64 (.f64 a x) 2) 4))
(+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (pow.f64 (*.f64 a x) 2) 4)))
(+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 4) 3) 2))
(+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (.f64 (pow.f64 (*.f64 a x) 2) 3/2) 4))
(+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (.f64 (pow.f64 (*.f64 a x) 2) 3) 8))
(-.f64 (pow.f64 (.f64 a x) 2) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) 0)
(-.f64 0 (.f64 (pow.f64 (.f64 a x) 2) -1/2))
(-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (pow.f64 (.f64 a x) 2) -4))
(-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (.f64 3/2 (neg.f64 (pow.f64 (*.f64 a x) 2))) 4))
(-.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (pow.f64 (.f64 a x) 2) 4)) (neg.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 8)))
(-.f64 (/.f64 (.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) 3) 2) (/.f64 (/.f64 (pow.f64 (*.f64 a x) 2) -4) 2))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 a x) 2) 3/2) 4) (/.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) 4))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 a x) 2) 3) 8) (/.f64 (neg.f64 (pow.f64 (*.f64 a x) 2)) 8))
(/.f64 (pow.f64 (*.f64 a x) 2) 2)
(/.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) 1)
(/.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) -1)
(/.f64 (.f64 2 (pow.f64 (.f64 a x) 2)) 4)
(/.f64 (.f64 (pow.f64 (.f64 a x) 2) 4) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 (*.f64 a x) 2) 4)) 16)
(pow.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) 1)
(neg.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2))

Outputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
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(pow.f64 (*.f64 a x) 2)
(.f64 (pow.f64 a 2) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2))))
(pow.f64 (*.f64 a x) 2)
(*.f64 (pow.f64 x 2) (pow.f64 a 2))
(pow.f64 (*.f64 a x) 2)
(.f64 -1 (neg.f64 (pow.f64 (.f64 a x) 2)))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 1/2 (pow.f64 a 2)) (*.f64 2 (pow.f64 x 2)))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 (pow.f64 (*.f64 a x) 2) -1/2) -2)
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 2 (pow.f64 (*.f64 a x) 2)) 1/2)
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 2 (pow.f64 a 2)))
(pow.f64 (*.f64 a x) 2)
(.f64 -2 (.f64 (pow.f64 (*.f64 a x) 2) -1/2))
(pow.f64 (*.f64 a x) 2)
(.f64 1/4 (.f64 (pow.f64 (*.f64 a x) 2) 4))
(pow.f64 (*.f64 a x) 2)
(.f64 (neg.f64 (pow.f64 (.f64 a x) 2)) -1)
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 a 2)))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 2 (pow.f64 a 2)) (*.f64 1/2 (pow.f64 x 2)))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 2 (pow.f64 a 2)) (/.f64 (pow.f64 x 2) 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 (pow.f64 (*.f64 a x) 2) 4) 1/4)
(pow.f64 (*.f64 a x) 2)
(.f64 4 (.f64 1/2 (.f64 1/2 (pow.f64 (.f64 a x) 2))))
(pow.f64 (*.f64 a x) 2)
(.f64 4 (pow.f64 (.f64 a (*.f64 x 1/2)) 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 (pow.f64 (*.f64 a x) 2) -2) -1/2)
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 1/2 (.f64 1/2 (pow.f64 (.f64 a x) 2))) 4)
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 1/2 (.f64 1/2 (pow.f64 a 2))) (.f64 2 (*.f64 2 (pow.f64 x 2))))
(pow.f64 (*.f64 a x) 2)
(.f64 1/8 (.f64 2 (.f64 (pow.f64 (.f64 a x) 2) 4)))
(pow.f64 (*.f64 a x) 2)
(.f64 (/.f64 (pow.f64 a 2) 4) (.f64 2 (*.f64 2 (pow.f64 x 2))))
(pow.f64 (*.f64 a x) 2)
(.f64 -1/2 (.f64 (pow.f64 (*.f64 a x) 2) -2))
(pow.f64 (*.f64 a x) 2)
(.f64 (/.f64 (pow.f64 x 2) 2) (.f64 2 (pow.f64 a 2)))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 2 (.f64 (pow.f64 (.f64 a x) 2) 4)) 1/8)
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 2 (.f64 2 (pow.f64 x 2))) (.f64 1/2 (*.f64 1/2 (pow.f64 a 2))))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 2 (*.f64 2 (pow.f64 x 2))) (/.f64 (pow.f64 a 2) 4))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 2 (*.f64 2 (pow.f64 a 2))) (/.f64 (pow.f64 x 2) 4))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 2 (.f64 2 (pow.f64 a 2))) (/.f64 (.f64 1/2 (pow.f64 x 2)) 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 2 (.f64 2 (pow.f64 a 2))) (.f64 1/2 (/.f64 (pow.f64 x 2) 2)))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 2 (.f64 2 (pow.f64 a 2))) (.f64 (pow.f64 x 2) 1/4))
(pow.f64 (*.f64 a x) 2)
(.f64 (pow.f64 (+.f64 x x) 2) (pow.f64 (.f64 a 1/2) 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 (pow.f64 a 2) 4) (pow.f64 (*.f64 x 1/2) 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (pow.f64 (.f64 x 1/2) 2) (*.f64 (pow.f64 a 2) 4))
(pow.f64 (*.f64 a x) 2)
(.f64 (pow.f64 (.f64 a 1/2) 2) (pow.f64 (+.f64 x x) 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 2 (*.f64 1/2 (pow.f64 x 2))) (pow.f64 a 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (/.f64 (pow.f64 x 2) 4) (.f64 2 (*.f64 2 (pow.f64 a 2))))
(pow.f64 (*.f64 a x) 2)
(.f64 (/.f64 (.f64 1/2 (pow.f64 x 2)) 2) (.f64 2 (.f64 2 (pow.f64 a 2))))
(pow.f64 (*.f64 a x) 2)
(.f64 1/16 (pow.f64 (.f64 a (*.f64 x 4)) 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 2))) (pow.f64 a 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (pow.f64 (+.f64 x x) 2)) (.f64 (*.f64 1/2 (pow.f64 a 2)) 1/4))
(pow.f64 (*.f64 a x) 2)
(.f64 (+.f64 (.f64 (pow.f64 a 2) 4) (.f64 (pow.f64 a 2) 4)) (.f64 1/4 (/.f64 (pow.f64 x 2) 2)))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 (*.f64 1/2 (pow.f64 a 2)) 1/4) (+.f64 (pow.f64 (+.f64 x x) 2) (pow.f64 (+.f64 x x) 2)))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) 2)) (.f64 2 (.f64 2 (pow.f64 a 2))))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) 2)) (+.f64 (.f64 (pow.f64 a 2) 4) (.f64 (pow.f64 a 2) 4)))
(pow.f64 (*.f64 a x) 2)
(.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 2 (.f64 2 (pow.f64 a 2))))
(pow.f64 (*.f64 a x) 2)
(.f64 (pow.f64 (.f64 x 4) 2) (pow.f64 (/.f64 a 4) 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (pow.f64 (.f64 x 4) 2) (pow.f64 (*.f64 a 1/4) 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (pow.f64 (.f64 a (*.f64 x 1/2)) 2) 4)
(pow.f64 (*.f64 a x) 2)
(.f64 (pow.f64 (/.f64 a 4) 2) (pow.f64 (.f64 x 4) 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (pow.f64 (.f64 a 1/4) 2) (pow.f64 (*.f64 x 4) 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (pow.f64 (.f64 a 4) 2) (pow.f64 (/.f64 x 4) 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (pow.f64 (.f64 a 4) 2) (pow.f64 (*.f64 x 1/4) 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (pow.f64 (/.f64 x 4) 2) (pow.f64 (.f64 a 4) 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (pow.f64 (.f64 x 1/4) 2) (pow.f64 (*.f64 a 4) 2))
(pow.f64 (*.f64 a x) 2)
(.f64 (pow.f64 (.f64 a (*.f64 x 4)) 2) 1/16)
(pow.f64 (*.f64 a x) 2)
(/.f64 (pow.f64 (*.f64 a x) 2) 1)
(pow.f64 (*.f64 a x) 2)
(/.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) 1/2)
(pow.f64 (*.f64 a x) 2)
(/.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) -1/2)
(pow.f64 (*.f64 a x) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 a x) 2)) 2)
(pow.f64 (*.f64 a x) 2)
(/.f64 (neg.f64 (pow.f64 (*.f64 a x) 2)) -1)
(pow.f64 (*.f64 a x) 2)
(/.f64 (.f64 (pow.f64 (.f64 a x) 2) 4) 4)
(pow.f64 (*.f64 a x) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (*.f64 a x) 2) 4)) 8)
(pow.f64 (*.f64 a x) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 a x) 2) 4)) (.f64 2 (.f64 (pow.f64 (.f64 a x) 2) 4))) 16)
(pow.f64 (*.f64 a x) 2)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 x 2))) (.f64 2 (*.f64 2 (pow.f64 a 2)))) 16)
(pow.f64 (*.f64 a x) 2)
(neg.f64 (neg.f64 (pow.f64 (*.f64 a x) 2)))
(pow.f64 (*.f64 a x) 2)
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) 0)
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 0 (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (pow.f64 (.f64 a x) 2) 4))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (pow.f64 (*.f64 a x) 2) 4)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 4) 3) 2))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (.f64 (pow.f64 (*.f64 a x) 2) 3/2) 4))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (.f64 (pow.f64 (*.f64 a x) 2) 3) 8))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(-.f64 (pow.f64 (.f64 a x) 2) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) 0)
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(-.f64 0 (.f64 (pow.f64 (.f64 a x) 2) -1/2))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (pow.f64 (.f64 a x) 2) -4))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (.f64 3/2 (neg.f64 (pow.f64 (*.f64 a x) 2))) 4))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(-.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 8) (/.f64 (pow.f64 (.f64 a x) 2) 4)) (neg.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 8)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(-.f64 (/.f64 (.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) 3) 2) (/.f64 (/.f64 (pow.f64 (*.f64 a x) 2) -4) 2))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 a x) 2) 3/2) 4) (/.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) 4))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 a x) 2) 3) 8) (/.f64 (neg.f64 (pow.f64 (*.f64 a x) 2)) 8))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(/.f64 (pow.f64 (*.f64 a x) 2) 2)
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(/.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) 1)
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(/.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) -1)
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(/.f64 (.f64 2 (pow.f64 (.f64 a x) 2)) 4)
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(/.f64 (.f64 (pow.f64 (.f64 a x) 2) 4) 8)
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(/.f64 (.f64 2 (.f64 (pow.f64 (*.f64 a x) 2) 4)) 16)
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(pow.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) 1)
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(neg.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2))
(.f64 1/2 (pow.f64 (.f64 a x) 2))

localize162.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (*.f64 a x) 2)
✓	0.3b	(pow.f64 (*.f64 a x) 3)
	3.2b	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
✓	9.0b	(+.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))

Compiler

Compiled 65 to 34 computations (47.7% saved)

series31.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	a	@	inf	(pow.f64 (*.f64 a x) 3)
1.0ms	a	@	-inf	(pow.f64 (*.f64 a x) 3)
1.0ms	x	@	-inf	(pow.f64 (*.f64 a x) 3)
1.0ms	x	@	0	(pow.f64 (*.f64 a x) 3)
1.0ms	a	@	inf	(+.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))

rewrite319.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`rational_best-simplify-63`
1114×	`rational_best-simplify-56`
1000×	`rational_best-4`
1000×	`rational_best-2`
1000×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	108	68
2	228	68
3	582	68
4	2357	68

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs

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

simplify470.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

950×	`rational_best-simplify-51`
850×	`rational_best-simplify-57`
828×	`rational_best-simplify-50`
734×	`rational_best-simplify-48`
724×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	328	8234
1	856	8202
2	2278	7786

Stop Event

1×	node limit

Counts

172 → 170

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 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(.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 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 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 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(.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 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 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 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 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 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(.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 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 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 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(.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 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 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 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(-.f64 (.f64 a x) (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(-.f64 (pow.f64 (.f64 a x) 2) (+.f64 (neg.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3))) (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 a x))))
(-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (-.f64 (.f64 a (neg.f64 x)) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 a x))) (neg.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3)))))
(-.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) (neg.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(-.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (*.f64 a x)))
(-.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (-.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 a x) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))))
(-.f64 (+.f64 (.f64 a x) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))) 0)
(-.f64 0 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))))
(-.f64 0 (+.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (.f64 1/6 (pow.f64 (.f64 a x) 3))) (*.f64 a (neg.f64 x))))
(-.f64 0 (+.f64 (-.f64 (.f64 a (neg.f64 x)) (.f64 1/6 (pow.f64 (.f64 a x) 3))) (.f64 (pow.f64 (*.f64 a x) 2) -1/2)))
(-.f64 (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (.f64 a x) 3))) (.f64 (pow.f64 (*.f64 a x) 2) -1/2))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (.f64 a x) 3))) (*.f64 a (neg.f64 x)))
(-.f64 (.f64 (pow.f64 (.f64 a x) 3) 1/3) (-.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))))
(-.f64 (.f64 (pow.f64 (.f64 a x) 3) 1/3) (+.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 a (neg.f64 x))) (.f64 (pow.f64 (*.f64 a x) 2) -1/2)))
(-.f64 (.f64 a (+.f64 x x)) (+.f64 (+.f64 (.f64 a x) (.f64 (pow.f64 (.f64 a x) 2) -1/2)) (neg.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)))))
(-.f64 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x))) (+.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) (neg.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3)))))
(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a x) 2) (+.f64 (.f64 (pow.f64 (.f64 a x) 3) 1/3) (.f64 a (+.f64 x x)))) 4) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))) 2))
(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a x) 2) (+.f64 (.f64 (pow.f64 (.f64 a x) 3) 1/3) (.f64 a (+.f64 x x)))) 4) (-.f64 (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) -2) (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (.f64 a x) 2))))
(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 a x) 2) (+.f64 (.f64 (pow.f64 (.f64 a x) 3) 1/3) (.f64 a (+.f64 x x)))) 4) (-.f64 (/.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) -2) (/.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3)) 2)))
(-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (-.f64 (-.f64 (.f64 a (neg.f64 x)) (.f64 1/6 (pow.f64 (.f64 a x) 3))) (/.f64 (pow.f64 (*.f64 a x) 2) 4)))
(-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (+.f64 (-.f64 (.f64 a (neg.f64 x)) (/.f64 (pow.f64 (.f64 a x) 2) 4)) (neg.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3)))))
(-.f64 (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2) (-.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (.f64 a x)) (/.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3)) 2)))
(-.f64 (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2) (+.f64 (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) -2) (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (*.f64 a x))))
(-.f64 (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2) (+.f64 (-.f64 (.f64 a (neg.f64 x)) (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2)) (.f64 (pow.f64 (*.f64 a x) 2) -1/2)))
(-.f64 (/.f64 (.f64 a x) 2) (-.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (.f64 1/6 (pow.f64 (.f64 a x) 3))) (/.f64 (.f64 a x) 2)))
(-.f64 (/.f64 (.f64 a x) 2) (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (.f64 a x) 2)) (.f64 a x)) 2) (neg.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (.f64 a x) 2)) (-.f64 (neg.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3))) (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (.f64 a x) 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (.f64 a x) 2)) (+.f64 (/.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) -2) (neg.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3)))))
(-.f64 (+.f64 (.f64 a x) (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2)) (/.f64 (-.f64 (neg.f64 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (.f64 a x) 3))) 2))
(-.f64 (+.f64 (.f64 a x) (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2)) (+.f64 (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) -2) (.f64 (pow.f64 (*.f64 a x) 2) -1/2)))
(-.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (/.f64 (.f64 a x) 2)) (/.f64 (-.f64 (neg.f64 (pow.f64 (.f64 a x) 2)) (*.f64 a x)) 2))
(-.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (/.f64 (.f64 a x) 2)) (+.f64 (/.f64 (.f64 a x) -2) (.f64 (pow.f64 (.f64 a x) 2) -1/2)))
(-.f64 (+.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2)) (/.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3)) -2))
(-.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (.f64 a x) 2))) (/.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))) -2))
(-.f64 (+.f64 (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (.f64 a x) 3))) (/.f64 (pow.f64 (.f64 a x) 2) 4)) (/.f64 (pow.f64 (*.f64 a x) 2) -4))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (.f64 a x) 3))) (/.f64 (.f64 a x) 2)) (/.f64 (.f64 a x) -2))
(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 a x) 2) (neg.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)))) 2) (-.f64 (.f64 a (neg.f64 x)) (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2)))
(-.f64 (/.f64 (-.f64 (pow.f64 (.f64 a x) 2) (neg.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)))) 2) (+.f64 (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) -2) (.f64 a (neg.f64 x))))
(-.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (/.f64 (pow.f64 (.f64 a x) 2) 4)) (-.f64 (.f64 a (neg.f64 x)) (/.f64 (pow.f64 (*.f64 a x) 2) 4)))
(-.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (/.f64 (pow.f64 (.f64 a x) 2) 4)) (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) -4) (*.f64 a (neg.f64 x))))
(-.f64 (-.f64 (pow.f64 (.f64 a x) 2) (neg.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)))) (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 a x)))
(-.f64 (-.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (-.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))))) (neg.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(-.f64 (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 a x))) (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(-.f64 (-.f64 (/.f64 (.f64 a x) 2) (neg.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)))) (/.f64 (-.f64 (neg.f64 (pow.f64 (.f64 a x) 2)) (*.f64 a x)) 2))
(-.f64 (-.f64 (/.f64 (.f64 a x) 2) (neg.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)))) (+.f64 (/.f64 (.f64 a x) -2) (.f64 (pow.f64 (.f64 a x) 2) -1/2)))
(-.f64 (-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (neg.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)))) (-.f64 (.f64 a (neg.f64 x)) (/.f64 (pow.f64 (*.f64 a x) 2) 4)))
(-.f64 (-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (neg.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)))) (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) -4) (*.f64 a (neg.f64 x))))
(-.f64 (.f64 3 (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2)) (-.f64 (-.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2)))) (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2)))
(-.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 2) (-.f64 (neg.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3))) (/.f64 (*.f64 a x) 2)))
(-.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 2) (+.f64 (/.f64 (.f64 a x) -2) (neg.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3)))))
(-.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 4)) (-.f64 (neg.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3))) (/.f64 (pow.f64 (*.f64 a x) 2) 4)))
(-.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 4)) (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) -4) (neg.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (/.f64 (.f64 a x) 2)) (neg.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)))) (/.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))) -2))
(-.f64 (+.f64 (pow.f64 (.f64 a x) 2) (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2)) (-.f64 (-.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 a x)) (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2)))
(-.f64 (.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) 0) (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))))
(-.f64 (-.f64 (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2) (/.f64 (.f64 a x) -2)) (-.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (.f64 a x) 2)) (.f64 a x)) 2) (/.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3)) 2)))
(-.f64 (-.f64 (/.f64 (.f64 a x) 2) (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (.f64 1/6 (pow.f64 (.f64 a x) 3)))) (/.f64 (.f64 a x) -2))
(-.f64 (-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (-.f64 (.f64 a (neg.f64 x)) (.f64 1/6 (pow.f64 (.f64 a x) 3)))) (/.f64 (pow.f64 (*.f64 a x) 2) -4))
(-.f64 (-.f64 (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2) (/.f64 (pow.f64 (.f64 a x) 2) -4)) (-.f64 (-.f64 (.f64 a (neg.f64 x)) (/.f64 (pow.f64 (.f64 a x) 2) 4)) (/.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3)) 2)))
(-.f64 (-.f64 (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2) (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -2)) (-.f64 (/.f64 (.f64 a x) -2) (/.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3)) 2)))
(-.f64 (-.f64 (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2) (/.f64 (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 a (+.f64 x x))) -2)) (-.f64 (/.f64 (pow.f64 (.f64 a x) 2) -4) (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2)))
(-.f64 (-.f64 (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2) (-.f64 1 (.f64 1/2 (pow.f64 (.f64 a x) 2)))) (-.f64 (-.f64 -1 (.f64 a x)) (/.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3)) 2)))
(-.f64 (-.f64 (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2) (-.f64 1 (.f64 a x))) (-.f64 (-.f64 -1 (.f64 1/2 (pow.f64 (.f64 a x) 2))) (/.f64 (.f64 1/6 (pow.f64 (*.f64 a x) 3)) 2)))
(-.f64 (-.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (.f64 a x)) (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2))) (-.f64 (/.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) 2) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(.f64 1/2 (+.f64 (pow.f64 (.f64 a x) 2) (+.f64 (.f64 (pow.f64 (.f64 a x) 3) 1/3) (*.f64 a (+.f64 x x)))))
(.f64 1/2 (-.f64 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 (pow.f64 (.f64 a x) 3) 1/3)) (.f64 (.f64 a x) -2)))
(.f64 (+.f64 (.f64 a x) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (.f64 a x) 3)))) 1)
(.f64 1 (+.f64 (.f64 a x) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (.f64 a x) 3)))))
(.f64 -1 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (.f64 a x) 3)))))
(.f64 1/4 (+.f64 (.f64 (pow.f64 (.f64 a x) 3) 2/3) (.f64 2 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x))))))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (.f64 a x) 3)))) -1)
(.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 3) 2/3) (.f64 2 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x))))) 1/4)
(.f64 (+.f64 (pow.f64 (.f64 a x) 2) (+.f64 (.f64 (pow.f64 (.f64 a x) 3) 1/3) (*.f64 a (+.f64 x x)))) 1/2)
(.f64 (.f64 (+.f64 (pow.f64 (.f64 a x) 2) (+.f64 (.f64 (pow.f64 (.f64 a x) 3) 1/3) (.f64 a (+.f64 x x)))) 4) 1/8)
(/.f64 (+.f64 (.f64 a x) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))) 1)
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))) -1)
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 3) 2/3) (.f64 2 (+.f64 (pow.f64 (.f64 a x) 2) (*.f64 a (+.f64 x x))))) 4)
(/.f64 (+.f64 (pow.f64 (.f64 a x) 2) (+.f64 (.f64 (pow.f64 (.f64 a x) 3) 1/3) (.f64 a (+.f64 x x)))) 2)
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 a x) 2) (+.f64 (.f64 (pow.f64 (.f64 a x) 3) 1/3) (*.f64 a (+.f64 x x)))) 4) 8)
(/.f64 (-.f64 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 (pow.f64 (.f64 a x) 3) 1/3)) (.f64 (*.f64 a x) -2)) 2)
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 3) 2/3) (neg.f64 (.f64 2 (+.f64 (pow.f64 (.f64 a x) 2) (*.f64 a (+.f64 x x)))))) 4)
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 3) 2/3) (.f64 (+.f64 (pow.f64 (.f64 a x) 2) (*.f64 a (+.f64 x x))) -2)) 4)
(/.f64 (-.f64 (.f64 2 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x)))) (neg.f64 (.f64 (pow.f64 (*.f64 a x) 3) 2/3))) 4)
(/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 3) 1/3) (.f64 a (+.f64 x x))) (neg.f64 (pow.f64 (.f64 a x) 2))) 2)
(/.f64 (-.f64 (+.f64 (.f64 (pow.f64 (.f64 a x) 3) 2/3) (.f64 a (.f64 x 4))) (neg.f64 (.f64 2 (pow.f64 (.f64 a x) 2)))) 4)
(/.f64 (-.f64 (.f64 (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (.f64 a x) 3))) 4) (neg.f64 (.f64 2 (pow.f64 (.f64 a x) 2)))) 4)
(/.f64 (-.f64 (+.f64 (.f64 2 (pow.f64 (.f64 a x) 2)) (.f64 (pow.f64 (.f64 a x) 3) 2/3)) (neg.f64 (.f64 a (.f64 x 4)))) 4)
(/.f64 (-.f64 (+.f64 (.f64 2 (pow.f64 (.f64 a x) 2)) (.f64 (pow.f64 (.f64 a x) 3) 2/3)) (-.f64 0 (.f64 a (.f64 x 4)))) 4)
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 (pow.f64 (.f64 a x) 3) 1/3)) 2) (neg.f64 (.f64 a (.f64 x 4)))) 4)
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 (pow.f64 (.f64 a x) 3) 1/3)) 2) (-.f64 0 (.f64 a (.f64 x 4)))) 4)
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 3) 2/3) (+.f64 (.f64 (pow.f64 (.f64 a x) 3) 1/3) (-.f64 (.f64 (.f64 a x) -2) (pow.f64 (*.f64 a x) 2)))) 2)
(pow.f64 (+.f64 (.f64 a x) (+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))) 1)
(neg.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))))
(+.f64 (pow.f64 (*.f64 a x) 3) 0)
(+.f64 0 (pow.f64 (*.f64 a x) 3))
(+.f64 (/.f64 (pow.f64 (.f64 a x) 3) 2) (/.f64 (pow.f64 (.f64 a x) 3) 2))
(-.f64 (pow.f64 (*.f64 a x) 3) 0)
(-.f64 (/.f64 (pow.f64 (.f64 a x) 3) 2) (/.f64 (pow.f64 (.f64 a x) 3) -2))
(.f64 1/2 (.f64 2 (pow.f64 (*.f64 a x) 3)))
(.f64 (pow.f64 (.f64 a x) 3) 1)
(.f64 1 (pow.f64 (.f64 a x) 3))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (pow.f64 a 3))
(.f64 (.f64 2 (pow.f64 (*.f64 a x) 3)) 1/2)
(.f64 1/4 (.f64 (pow.f64 (*.f64 a x) 3) 4))
(.f64 (.f64 2 (pow.f64 a 3)) (/.f64 (pow.f64 x 3) 2))
(.f64 (.f64 2 (pow.f64 x 3)) (/.f64 (pow.f64 a 3) 2))
(.f64 (.f64 (pow.f64 (*.f64 a x) 3) 4) 1/4)
(.f64 1/8 (pow.f64 (.f64 a (+.f64 x x)) 3))
(.f64 (/.f64 (pow.f64 a 3) 2) (.f64 2 (pow.f64 x 3)))
(.f64 (/.f64 (pow.f64 x 3) 2) (.f64 2 (pow.f64 a 3)))
(.f64 (.f64 2 (.f64 (pow.f64 (.f64 a x) 3) 4)) 1/8)
(.f64 (.f64 2 (*.f64 2 (pow.f64 a 3))) (/.f64 (pow.f64 x 3) 4))
(.f64 (.f64 2 (*.f64 2 (pow.f64 x 3))) (/.f64 (pow.f64 a 3) 4))
(.f64 (pow.f64 (+.f64 a a) 3) (pow.f64 (.f64 x 1/2) 3))
(.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (.f64 a 1/2) 3))
(.f64 (pow.f64 (.f64 a (+.f64 x x)) 3) 1/8)
(.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (+.f64 a a) 3))
(.f64 (pow.f64 (.f64 a 1/2) 3) (pow.f64 (+.f64 x x) 3))
(/.f64 (pow.f64 (*.f64 a x) 3) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 a x) 3)) 2)
(/.f64 (.f64 (pow.f64 (.f64 a x) 3) 4) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (*.f64 a x) 3) 4)) 8)

Outputs
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (.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 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (pow.f64 (.f64 a x) 3))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (.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 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (pow.f64 (.f64 a x) 3))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (.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 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (*.f64 a x))
(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (.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 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (pow.f64 (.f64 a x) 3))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (.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 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3)))
(.f64 1/6 (pow.f64 (.f64 a x) 3))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (+.f64 (.f64 a x) (.f64 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (.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 1/6 (*.f64 (pow.f64 a 3) (pow.f64 x 3)))))
(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 a x) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
(pow.f64 (*.f64 a x) 3)
(*.f64 (pow.f64 a 3) (pow.f64 x 3))
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(pow.f64 (*.f64 a x) 3)
(.f64 (pow.f64 (+.f64 a a) 3) (pow.f64 (.f64 x 1/2) 3))
(pow.f64 (*.f64 a x) 3)
(.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 (.f64 a 1/2) 3))
(pow.f64 (*.f64 a x) 3)
(.f64 (pow.f64 (.f64 a (+.f64 x x)) 3) 1/8)
(pow.f64 (*.f64 a x) 3)
(.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (+.f64 a a) 3))
(pow.f64 (*.f64 a x) 3)
(.f64 (pow.f64 (.f64 a 1/2) 3) (pow.f64 (+.f64 x x) 3))
(pow.f64 (*.f64 a x) 3)
(/.f64 (pow.f64 (*.f64 a x) 3) 1)
(pow.f64 (*.f64 a x) 3)
(/.f64 (.f64 2 (pow.f64 (.f64 a x) 3)) 2)
(pow.f64 (*.f64 a x) 3)
(/.f64 (.f64 (pow.f64 (.f64 a x) 3) 4) 4)
(pow.f64 (*.f64 a x) 3)
(/.f64 (.f64 2 (.f64 (pow.f64 (*.f64 a x) 3) 4)) 8)
(pow.f64 (*.f64 a x) 3)

localize16.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

eval1.3s (1.4%)

Compiler: Compiled 16347 to 9633 computations (41.1% saved)

prune570.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	633	1	634
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	633	6	639

Error

0.0b

Counts

639 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.5b	(-.f64 (.f64 (.f64 a x) 3/2) (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -2)))
✓	31.6b	(-.f64 (exp.f64 (*.f64 a x)) 1)
✓	50.9b	(-.f64 1 1)
✓	18.7b	(+.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))
✓	19.2b	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
✓	18.6b	(*.f64 a x)

Compiler

Compiled 75 to 47 computations (37.3% saved)

localize74.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (*.f64 a x) 2)
✓	0.3b	(.f64 (.f64 a x) 3/2)
✓	3.2b	(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
✓	3.6b	(-.f64 (.f64 (.f64 a x) 3/2) (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -2)))

Compiler

Compiled 76 to 33 computations (56.6% saved)

series21.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
15.0ms	a	@	0	(-.f64 (.f64 (.f64 a x) 3/2) (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -2)))
1.0ms	a	@	-inf	(-.f64 (.f64 (.f64 a x) 3/2) (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -2)))
1.0ms	x	@	0	(-.f64 (.f64 (.f64 a x) 3/2) (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -2)))
1.0ms	x	@	-inf	(-.f64 (.f64 (.f64 a x) 3/2) (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -2)))
1.0ms	a	@	inf	(-.f64 (.f64 (.f64 a x) 3/2) (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -2)))

rewrite660.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1788×	`rational_best-4`
1788×	`rational_best-2`
1788×	`rational_best-3`
1788×	`rational_best-1`
1788×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	99
1	104	91
2	258	87
3	824	69
4	4790	69

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 a x) 3/2) (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -2)))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(.f64 (.f64 a x) 3/2)

Outputs

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2 (-.f64 (*.f64 a (+.f64 x x)) (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 a x) (/.f64 (pow.f64 (*.f64 a x) 2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a x) 2) -1/2) (*.f64 a x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a x) (neg.f64 (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (*.f64 a x) 2) (neg.f64 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) (+.f64 (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) -1/2) (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a x) (/.f64 (pow.f64 (*.f64 a x) 2) 2)) (*.f64 (pow.f64 (*.f64 a x) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a x) (/.f64 (pow.f64 (*.f64 a x) 2) 2)) (-.f64 0 (/.f64 (pow.f64 (*.f64 a x) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (*.f64 a x)) (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 1/2) (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (+.f64 x x)) (+.f64 (neg.f64 (pow.f64 (*.f64 a x) 2)) (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (pow.f64 (*.f64 a x) 2)) (+.f64 (neg.f64 (*.f64 a x)) (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 a x) 2) 2) (-.f64 (*.f64 (pow.f64 (*.f64 a x) 2) -1/2) (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 a 1/2)) (+.f64 (*.f64 a (*.f64 x -1/2)) (neg.f64 (pow.f64 (*.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 a 1/2)) (-.f64 (neg.f64 (pow.f64 (*.f64 a x) 2)) (*.f64 x (*.f64 a 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 4) (/.f64 (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 a 1/2)) (pow.f64 (*.f64 a x) 2)) (*.f64 a (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 4) (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 1/2)) (-.f64 0 (/.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 3) 4) (/.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 3) -4) -1) (/.f64 (/.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x (*.f64 a 1/2)) (neg.f64 (pow.f64 (*.f64 a x) 2))) (*.f64 a (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (neg.f64 (*.f64 a x)) (pow.f64 (*.f64 a x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (*.f64 a x)) (pow.f64 (*.f64 a x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 4)) -1) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 a a) (+.f64 x x)) (*.f64 2 (*.f64 2 (pow.f64 (*.f64 a x) 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (pow.f64 (*.f64 a x) 2))) (*.f64 (+.f64 a a) (+.f64 x x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 4)) (neg.f64 (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (*.f64 a x)) (pow.f64 (*.f64 a x) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 x 3/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 a x) 3) 4) (/.f64 (*.f64 (*.f64 a x) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (*.f64 x 3/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 a x) 3) 4) (/.f64 (neg.f64 (*.f64 a (*.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a x) 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 a x) 3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 a x) 3)) (*.f64 2 (*.f64 (*.f64 a x) 3))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 x 3/2)) 1)))))

simplify458.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1316×	`rational_best-simplify-47`
736×	`rational_best-simplify-52`
728×	`rational_best-simplify-48`
700×	`rational_best-simplify-3`
594×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	6251
1	730	5951
2	1970	5371

Stop Event

1×	node limit

Counts

185 → 170

Calls

Call 1

Inputs
(.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) 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 (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) 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 -1 (.f64 a (-.f64 (.f64 -3/2 x) (+.f64 (.f64 1/2 x) (*.f64 -1 x))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 a (-.f64 (.f64 -3/2 x) (+.f64 (.f64 1/2 x) (*.f64 -1 x))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 a (-.f64 (.f64 -3/2 x) (+.f64 (.f64 1/2 x) (*.f64 -1 x))))))
(.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) 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 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) 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 -1 (.f64 x (-.f64 (.f64 -3/2 a) (+.f64 (.f64 1/2 a) (*.f64 -1 a))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 x (-.f64 (.f64 -3/2 a) (+.f64 (.f64 1/2 a) (*.f64 -1 a))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 x (-.f64 (.f64 -3/2 a) (+.f64 (.f64 1/2 a) (*.f64 -1 a))))))
(*.f64 a x)
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(*.f64 a x)
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(*.f64 (pow.f64 a 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 x 2)) (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(.f64 3/2 (.f64 a x))
(+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2))
(+.f64 (.f64 a (.f64 x 3/2)) (-.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2) (.f64 a x)))
(+.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2)) 0)
(+.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2)) (-.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2)))
(+.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2)) (-.f64 (.f64 a (.f64 x 3/2)) (.f64 a (.f64 x 3/2))))
(+.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2)) (-.f64 (.f64 x (.f64 a 1/2)) (.f64 x (.f64 a 1/2))))
(+.f64 0 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2)))
(+.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2) (.f64 x (*.f64 a 1/2)))
(+.f64 (.f64 a (.f64 x -1/2)) (/.f64 (+.f64 (neg.f64 (.f64 a x)) (+.f64 (.f64 (.f64 a x) 3) (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)))) 2))
(+.f64 (+.f64 (.f64 a (.f64 x 3/2)) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2)) (neg.f64 (.f64 a x)))
(+.f64 (neg.f64 (.f64 a x)) (+.f64 (.f64 a (.f64 x 3/2)) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2)))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2) (.f64 a x)) (.f64 a (.f64 x 3/2)))
(+.f64 (-.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2) (.f64 a x)) (neg.f64 (neg.f64 (.f64 a (.f64 x 3/2)))))
(+.f64 (+.f64 (.f64 a (.f64 x 3/2)) (.f64 x (.f64 a 1/2))) (neg.f64 (+.f64 (.f64 a x) (.f64 (pow.f64 (*.f64 a x) 2) -1/2))))
(+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 2) (.f64 a x))
(+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 2) (+.f64 (+.f64 (.f64 a (.f64 x 3/2)) (.f64 x (.f64 a 1/2))) (neg.f64 (.f64 a x))))
(+.f64 (+.f64 (.f64 a (.f64 x 3/2)) (/.f64 (pow.f64 (.f64 a x) 2) 2)) (neg.f64 (+.f64 (.f64 a x) (.f64 a (.f64 x -1/2)))))
(+.f64 (.f64 x (.f64 a 1/2)) (.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 1/2))
(+.f64 (.f64 x (.f64 a 1/2)) (+.f64 (+.f64 (.f64 a (.f64 x 3/2)) (/.f64 (pow.f64 (.f64 a x) 2) 2)) (neg.f64 (.f64 a x))))
(+.f64 (+.f64 (.f64 a (.f64 x 3/2)) (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4)) (neg.f64 (-.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 4))))
(+.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (+.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (.f64 x (.f64 a 1/2))))
(+.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (+.f64 (+.f64 (.f64 a (.f64 x 3/2)) (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4)) (neg.f64 (*.f64 a x))))
(+.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (/.f64 (+.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2) (.f64 a x)) 2))
(+.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (-.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (.f64 a (.f64 x -1/2))))
(+.f64 (neg.f64 (+.f64 (.f64 a x) (.f64 a (.f64 x -1/2)))) (+.f64 (.f64 a (.f64 x 3/2)) (/.f64 (pow.f64 (.f64 a x) 2) 2)))
(+.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (+.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (-.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2) (.f64 a x))))
(+.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (+.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2))))
(+.f64 (/.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2)) 2) (/.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2)) 2))
(+.f64 (-.f64 (.f64 (.f64 a x) 3) (+.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2))) (neg.f64 (.f64 a (.f64 x 3/2))))
(+.f64 (-.f64 (.f64 a (.f64 x 3/2)) (+.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -4) (.f64 x (.f64 a 1/2)))) (neg.f64 (+.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -4) (.f64 x (.f64 a 1/2)))))
(+.f64 (-.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) (.f64 a (.f64 x -1/2))) (.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -1/2))
(+.f64 (-.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2)) (.f64 a (.f64 x -1/2)))
(+.f64 (/.f64 (.f64 x (.f64 a 1/2)) 2) (/.f64 (+.f64 (.f64 x (.f64 a 1/2)) (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) 2))
(+.f64 (/.f64 (-.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2) (.f64 a x)) 2) (/.f64 (+.f64 (.f64 a (.f64 x 3/2)) (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2))) 2))
(+.f64 (-.f64 (.f64 x (.f64 a 1/2)) (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -4)) (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2)) (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (.f64 a x)))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (.f64 a x)) (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2)))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (+.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2))) (/.f64 (.f64 (.f64 a x) 3) 4))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (+.f64 (.f64 a x) (.f64 a (.f64 x -1/2)))) (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (.f64 (pow.f64 (*.f64 a x) 2) -1/2)))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (.f64 (pow.f64 (.f64 a x) 2) -1/2)) (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (+.f64 (.f64 a x) (.f64 a (*.f64 x -1/2)))))
(+.f64 (-.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (.f64 a (.f64 x -1/2))) (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4))
(+.f64 (-.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (.f64 a x)) (-.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (neg.f64 (.f64 a (*.f64 x 3/2)))))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (.f64 a (.f64 x -1/2))) (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (+.f64 (.f64 a x) (.f64 (pow.f64 (*.f64 a x) 2) -1/2))))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -4)) (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (-.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 4))))
(+.f64 (-.f64 (.f64 x (.f64 a 1/2)) (/.f64 (pow.f64 (.f64 a x) 2) -4)) (neg.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) -4) (.f64 a (.f64 x -1/2)))))
(+.f64 (-.f64 (.f64 x (.f64 a 1/2)) (/.f64 (.f64 a x) -4)) (neg.f64 (+.f64 (/.f64 (.f64 a x) -4) (.f64 (pow.f64 (.f64 a x) 2) -1/2))))
(+.f64 (-.f64 -1 (.f64 a (.f64 x -1/2))) (-.f64 1 (.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -1/2)))
(+.f64 (-.f64 -1 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2)) (-.f64 1 (.f64 a (*.f64 x -1/2))))
(.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (*.f64 a x) 2) 2)) 1)
(.f64 1 (+.f64 (.f64 a x) (/.f64 (pow.f64 (*.f64 a x) 2) 2)))
(.f64 (+.f64 (pow.f64 (.f64 a x) 2) (*.f64 a (+.f64 x x))) 1/2)
(.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (.f64 a x)) -1)
(.f64 1/2 (+.f64 (pow.f64 (.f64 a x) 2) (*.f64 a (+.f64 x x))))
(.f64 (.f64 2 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x)))) 1/4)
(/.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2)) 1)
(/.f64 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x))) 2)
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (*.f64 a x)) -1)
(/.f64 (.f64 2 (+.f64 (pow.f64 (.f64 a x) 2) (*.f64 a (+.f64 x x)))) 4)
(/.f64 (+.f64 (.f64 2 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x)))) (.f64 2 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x))))) 8)
(/.f64 (-.f64 (.f64 2 (.f64 (.f64 a x) 3)) (.f64 2 (-.f64 (.f64 a (+.f64 x x)) (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2))))) 4)
(pow.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2)) 1)
(neg.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (*.f64 a x)))
(-.f64 (.f64 a x) (neg.f64 (pow.f64 (.f64 a x) 2)))
(-.f64 (pow.f64 (.f64 a x) 2) (neg.f64 (.f64 a x)))
(-.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 0)
(-.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2)))
(-.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2)) (.f64 (pow.f64 (.f64 a x) 2) -1/2))
(-.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2)) (-.f64 0 (/.f64 (pow.f64 (*.f64 a x) 2) 2)))
(-.f64 0 (-.f64 (neg.f64 (.f64 a x)) (pow.f64 (.f64 a x) 2)))
(-.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2))
(-.f64 (.f64 a (+.f64 x x)) (+.f64 (neg.f64 (pow.f64 (.f64 a x) 2)) (*.f64 a x)))
(-.f64 (.f64 2 (pow.f64 (.f64 a x) 2)) (+.f64 (neg.f64 (.f64 a x)) (pow.f64 (.f64 a x) 2)))
(-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 2) (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (.f64 a x)))
(-.f64 (.f64 x (.f64 a 1/2)) (+.f64 (.f64 a (.f64 x -1/2)) (neg.f64 (pow.f64 (*.f64 a x) 2))))
(-.f64 (.f64 x (.f64 a 1/2)) (-.f64 (neg.f64 (pow.f64 (.f64 a x) 2)) (.f64 x (*.f64 a 1/2))))
(-.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (/.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 3) -4))
(-.f64 (+.f64 (.f64 x (.f64 a 1/2)) (pow.f64 (.f64 a x) 2)) (.f64 a (*.f64 x -1/2)))
(-.f64 (+.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2)) (-.f64 0 (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 4)))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 3) 4) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -4))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 3) -4) -1) (/.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 4) -1))
(-.f64 (-.f64 (.f64 x (.f64 a 1/2)) (neg.f64 (pow.f64 (.f64 a x) 2))) (.f64 a (*.f64 x -1/2)))
(.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 1)
(.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2) -2)
(.f64 1 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)))
(.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2) 2)
(.f64 (.f64 2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) 1/2)
(.f64 -1 (-.f64 (neg.f64 (.f64 a x)) (pow.f64 (*.f64 a x) 2)))
(.f64 1/2 (.f64 2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))))
(.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) 1/4)
(/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1)
(/.f64 (.f64 2 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2))) 2)
(/.f64 (-.f64 (neg.f64 (.f64 a x)) (pow.f64 (.f64 a x) 2)) -1)
(/.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 4) 4)
(/.f64 (.f64 -2 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2))) -2)
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 4)) -4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4)) 8)
(/.f64 (/.f64 (.f64 -2 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2))) -1) 2)
(/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4)) -1) -8)
(/.f64 (+.f64 (.f64 (+.f64 a a) (+.f64 x x)) (.f64 2 (.f64 2 (pow.f64 (.f64 a x) 2)))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 a x) 2))) (.f64 (+.f64 a a) (+.f64 x x))) 4)
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4)) (neg.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4))) -8)
(pow.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1)
(neg.f64 (-.f64 (neg.f64 (.f64 a x)) (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 a (.f64 x 3/2)) 0)
(+.f64 0 (.f64 a (.f64 x 3/2)))
(+.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (/.f64 (.f64 (.f64 a x) 3) 4))
(-.f64 (.f64 a (.f64 x 3/2)) 0)
(-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (/.f64 (neg.f64 (.f64 a (.f64 x 3/2))) 2))
(/.f64 (.f64 a (.f64 x 3/2)) 1)
(/.f64 (.f64 (.f64 a x) 3) 2)
(/.f64 (.f64 2 (.f64 (*.f64 a x) 3)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 a x) 3)) (.f64 2 (.f64 (.f64 a x) 3))) 8)
(pow.f64 (.f64 a (.f64 x 3/2)) 1)

Outputs
(.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x)))
(.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (*.f64 x -1/2))))
(.f64 a (+.f64 (neg.f64 x) (.f64 x 2)))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x))))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x))))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x))))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x))))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x))))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x))))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 a (-.f64 (.f64 -3/2 x) (+.f64 (.f64 1/2 x) (*.f64 -1 x))))))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 a (-.f64 (.f64 -3/2 x) (+.f64 (.f64 1/2 x) (*.f64 -1 x))))))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 a (-.f64 (.f64 -3/2 x) (+.f64 (.f64 1/2 x) (*.f64 -1 x))))))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))
(.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x)
(.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (*.f64 x -1/2))))
(.f64 a (+.f64 (neg.f64 x) (.f64 x 2)))
(*.f64 a x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 x (-.f64 (.f64 -3/2 a) (+.f64 (.f64 1/2 a) (*.f64 -1 a))))))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (*.f64 a x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 x (-.f64 (.f64 -3/2 a) (+.f64 (.f64 1/2 a) (*.f64 -1 a))))))
(+.f64 (.f64 a (-.f64 (.f64 3/2 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
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(+.f64 (-.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (.f64 a x)) (-.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (neg.f64 (.f64 a (*.f64 x 3/2)))))
(+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (.f64 a (.f64 x -1/2))) (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (+.f64 (.f64 a x) (.f64 (pow.f64 (*.f64 a x) 2) -1/2))))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (.f64 a (.f64 x -1/2))) (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (+.f64 (.f64 a x) (.f64 -1/2 (pow.f64 (*.f64 a x) 2)))))
(+.f64 (-.f64 (/.f64 (.f64 a (.f64 3/2 x)) 2) (.f64 -1/2 (.f64 a x))) (-.f64 (/.f64 (.f64 a (.f64 3/2 x)) 2) (+.f64 (.f64 a x) (.f64 -1/2 (pow.f64 (*.f64 a x) 2)))))
(+.f64 (/.f64 (.f64 (.f64 a x) 5/2) 2) (-.f64 (.f64 3 (/.f64 (.f64 a x) 4)) (+.f64 (.f64 a x) (.f64 -1/2 (pow.f64 (*.f64 a x) 2)))))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -4)) (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (-.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 4))))
(+.f64 (-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -4)) (-.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (-.f64 (.f64 a x) (/.f64 (.f64 (*.f64 a x) 3) 4))))
(+.f64 (/.f64 (+.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) (.f64 a (.f64 x 3))) 4) (-.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (-.f64 (.f64 a x) (/.f64 (.f64 a (*.f64 3/2 x)) 2))))
(+.f64 (+.f64 (-.f64 (.f64 3 (/.f64 (.f64 a x) 4)) (.f64 3 (/.f64 (.f64 a x) 4))) (/.f64 (pow.f64 (.f64 a x) 2) 4)) (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) 4) (*.f64 a x)))
(+.f64 (-.f64 (.f64 x (.f64 a 1/2)) (/.f64 (pow.f64 (.f64 a x) 2) -4)) (neg.f64 (+.f64 (/.f64 (pow.f64 (.f64 a x) 2) -4) (.f64 a (.f64 x -1/2)))))
(+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2))
(+.f64 (-.f64 (.f64 x (.f64 a 1/2)) (/.f64 (.f64 a x) -4)) (neg.f64 (+.f64 (/.f64 (.f64 a x) -4) (.f64 (pow.f64 (.f64 a x) 2) -1/2))))
(+.f64 (+.f64 (.f64 a (.f64 3/2 x)) (.f64 x (.f64 a 1/2))) (neg.f64 (+.f64 (.f64 a x) (.f64 -1/2 (pow.f64 (*.f64 a x) 2)))))
(+.f64 (.f64 2 (.f64 a x)) (-.f64 (neg.f64 (.f64 -1/2 (pow.f64 (.f64 a x) 2))) (*.f64 a x)))
(-.f64 (.f64 a x) (.f64 -1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (-.f64 -1 (.f64 a (.f64 x -1/2))) (-.f64 1 (.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -1/2)))
(+.f64 (-.f64 -1 (.f64 a (.f64 x -1/2))) (-.f64 1 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)))))
(+.f64 (-.f64 -1 (.f64 -1/2 (.f64 a x))) (-.f64 1 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)))))
(+.f64 (-.f64 -1 (.f64 x (.f64 a -1/2))) (-.f64 1 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)))))
(+.f64 (-.f64 -1 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2)) (-.f64 1 (.f64 a (*.f64 x -1/2))))
(+.f64 (-.f64 -1 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (-.f64 1 (.f64 a (*.f64 x -1/2))))
(+.f64 (-.f64 -1 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (-.f64 1 (.f64 -1/2 (*.f64 a x))))
(+.f64 (-.f64 -1 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (-.f64 1 (.f64 x (*.f64 a -1/2))))
(.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (*.f64 a x) 2) 2)) 1)
(+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2))
(.f64 1 (+.f64 (.f64 a x) (/.f64 (pow.f64 (*.f64 a x) 2) 2)))
(+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2))
(.f64 (+.f64 (pow.f64 (.f64 a x) 2) (*.f64 a (+.f64 x x))) 1/2)
(+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (.f64 a x)) -1)
(+.f64 (+.f64 (.f64 a (.f64 3/2 x)) (.f64 x (.f64 a 1/2))) (neg.f64 (+.f64 (.f64 a x) (.f64 -1/2 (pow.f64 (*.f64 a x) 2)))))
(+.f64 (.f64 2 (.f64 a x)) (-.f64 (neg.f64 (.f64 -1/2 (pow.f64 (.f64 a x) 2))) (*.f64 a x)))
(-.f64 (.f64 a x) (.f64 -1/2 (pow.f64 (*.f64 a x) 2)))
(.f64 1/2 (+.f64 (pow.f64 (.f64 a x) 2) (*.f64 a (+.f64 x x))))
(+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2))
(.f64 (.f64 2 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x)))) 1/4)
(+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2))
(/.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2)) 1)
(+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2))
(/.f64 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x))) 2)
(+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (*.f64 a x)) -1)
(+.f64 (+.f64 (.f64 a (.f64 3/2 x)) (.f64 x (.f64 a 1/2))) (neg.f64 (+.f64 (.f64 a x) (.f64 -1/2 (pow.f64 (*.f64 a x) 2)))))
(+.f64 (.f64 2 (.f64 a x)) (-.f64 (neg.f64 (.f64 -1/2 (pow.f64 (.f64 a x) 2))) (*.f64 a x)))
(-.f64 (.f64 a x) (.f64 -1/2 (pow.f64 (*.f64 a x) 2)))
(/.f64 (.f64 2 (+.f64 (pow.f64 (.f64 a x) 2) (*.f64 a (+.f64 x x)))) 4)
(+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2))
(/.f64 (+.f64 (.f64 2 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x)))) (.f64 2 (+.f64 (pow.f64 (.f64 a x) 2) (.f64 a (+.f64 x x))))) 8)
(+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2))
(/.f64 (-.f64 (.f64 2 (.f64 (.f64 a x) 3)) (.f64 2 (-.f64 (.f64 a (+.f64 x x)) (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2))))) 4)
(+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2))
(pow.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2)) 1)
(+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2))
(neg.f64 (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (*.f64 a x)))
(+.f64 (+.f64 (.f64 a (.f64 3/2 x)) (.f64 x (.f64 a 1/2))) (neg.f64 (+.f64 (.f64 a x) (.f64 -1/2 (pow.f64 (*.f64 a x) 2)))))
(+.f64 (.f64 2 (.f64 a x)) (-.f64 (neg.f64 (.f64 -1/2 (pow.f64 (.f64 a x) 2))) (*.f64 a x)))
(-.f64 (.f64 a x) (.f64 -1/2 (pow.f64 (*.f64 a x) 2)))
(-.f64 (.f64 a x) (neg.f64 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(-.f64 (pow.f64 (.f64 a x) 2) (neg.f64 (.f64 a x)))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(-.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 0)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(-.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) (+.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2)))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(-.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2)) (.f64 (pow.f64 (.f64 a x) 2) -1/2))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(-.f64 (+.f64 (.f64 a x) (/.f64 (pow.f64 (.f64 a x) 2) 2)) (-.f64 0 (/.f64 (pow.f64 (*.f64 a x) 2) 2)))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(-.f64 0 (-.f64 (neg.f64 (.f64 a x)) (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(-.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(-.f64 (.f64 a (+.f64 x x)) (+.f64 (neg.f64 (pow.f64 (.f64 a x) 2)) (*.f64 a x)))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(-.f64 (.f64 2 (pow.f64 (.f64 a x) 2)) (+.f64 (neg.f64 (.f64 a x)) (pow.f64 (.f64 a x) 2)))
(-.f64 (.f64 2 (pow.f64 (.f64 a x) 2)) (+.f64 (pow.f64 (.f64 a x) 2) (neg.f64 (.f64 a x))))
(-.f64 (.f64 2 (pow.f64 (.f64 a x) 2)) (-.f64 (pow.f64 (.f64 a x) 2) (.f64 a x)))
(+.f64 (.f64 a x) (-.f64 (.f64 2 (pow.f64 (.f64 a x) 2)) (pow.f64 (.f64 a x) 2)))
(-.f64 (/.f64 (pow.f64 (.f64 a x) 2) 2) (-.f64 (.f64 (pow.f64 (.f64 a x) 2) -1/2) (.f64 a x)))
(-.f64 (.f64 a x) (-.f64 (.f64 -1/2 (pow.f64 (.f64 a x) 2)) (/.f64 (pow.f64 (.f64 a x) 2) 2)))
(-.f64 (.f64 x (.f64 a 1/2)) (+.f64 (.f64 a (.f64 x -1/2)) (neg.f64 (pow.f64 (*.f64 a x) 2))))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(-.f64 (.f64 x (.f64 a 1/2)) (-.f64 (neg.f64 (pow.f64 (.f64 a x) 2)) (.f64 x (*.f64 a 1/2))))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(-.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (/.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 3) -4))
(/.f64 (+.f64 (-.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 3) (.f64 a (neg.f64 x))) (pow.f64 (*.f64 a x) 2)) 4)
(-.f64 (+.f64 (.f64 x (.f64 a 1/2)) (pow.f64 (.f64 a x) 2)) (.f64 a (*.f64 x -1/2)))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(-.f64 (+.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2)) (-.f64 0 (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 4)))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4)) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -4))
(-.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (+.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -4) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -4)))
(+.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 2) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2))))
(-.f64 (/.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 3) 4) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -4))
(-.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (/.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 3) -4))
(/.f64 (+.f64 (-.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 3) (.f64 a (neg.f64 x))) (pow.f64 (*.f64 a x) 2)) 4)
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 3) -4) -1) (/.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 4) -1))
(-.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (/.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 3) -4))
(/.f64 (+.f64 (-.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 3) (.f64 a (neg.f64 x))) (pow.f64 (*.f64 a x) 2)) 4)
(-.f64 (-.f64 (.f64 x (.f64 a 1/2)) (neg.f64 (pow.f64 (.f64 a x) 2))) (.f64 a (*.f64 x -1/2)))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 1)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2) -2)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(.f64 1 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1/2) 2)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(.f64 (.f64 2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) 1/2)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(.f64 -1 (-.f64 (neg.f64 (.f64 a x)) (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(.f64 1/2 (.f64 2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) 1/4)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(/.f64 (.f64 2 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2))) 2)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(/.f64 (-.f64 (neg.f64 (.f64 a x)) (pow.f64 (.f64 a x) 2)) -1)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(/.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 4) 4)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(/.f64 (.f64 -2 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2))) -2)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(/.f64 (neg.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) 4)) -4)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4)) 8)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(/.f64 (/.f64 (.f64 -2 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2))) -1) 2)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(/.f64 (/.f64 (.f64 2 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4)) -1) -8)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(/.f64 (+.f64 (.f64 (+.f64 a a) (+.f64 x x)) (.f64 2 (.f64 2 (pow.f64 (.f64 a x) 2)))) 4)
(/.f64 (+.f64 (.f64 (+.f64 x x) (+.f64 a a)) (.f64 (pow.f64 (*.f64 a x) 2) 4)) 4)
(+.f64 (.f64 a x) (/.f64 (.f64 (pow.f64 (*.f64 a x) 2) 4) 4))
(/.f64 (+.f64 (.f64 2 (.f64 2 (pow.f64 (.f64 a x) 2))) (.f64 (+.f64 a a) (+.f64 x x))) 4)
(/.f64 (+.f64 (.f64 (+.f64 x x) (+.f64 a a)) (.f64 (pow.f64 (*.f64 a x) 2) 4)) 4)
(+.f64 (.f64 a x) (/.f64 (.f64 (pow.f64 (*.f64 a x) 2) 4) 4))
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4)) (neg.f64 (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4))) -8)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(pow.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 1)
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(neg.f64 (-.f64 (neg.f64 (.f64 a x)) (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 a (.f64 x 3/2)) 0)
(.f64 a (.f64 3/2 x))
(.f64 3/2 (.f64 a x))
(+.f64 0 (.f64 a (.f64 x 3/2)))
(.f64 a (.f64 3/2 x))
(.f64 3/2 (.f64 a x))
(+.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (/.f64 (.f64 (.f64 a x) 3) 4))
(.f64 a (.f64 3/2 x))
(.f64 3/2 (.f64 a x))
(-.f64 (.f64 a (.f64 x 3/2)) 0)
(.f64 a (.f64 3/2 x))
(.f64 3/2 (.f64 a x))
(-.f64 (/.f64 (.f64 (.f64 a x) 3) 4) (/.f64 (neg.f64 (.f64 a (.f64 x 3/2))) 2))
(.f64 a (.f64 3/2 x))
(.f64 3/2 (.f64 a x))
(/.f64 (.f64 a (.f64 x 3/2)) 1)
(.f64 a (.f64 3/2 x))
(.f64 3/2 (.f64 a x))
(/.f64 (.f64 (.f64 a x) 3) 2)
(.f64 a (.f64 3/2 x))
(.f64 3/2 (.f64 a x))
(/.f64 (.f64 2 (.f64 (*.f64 a x) 3)) 4)
(.f64 a (.f64 3/2 x))
(.f64 3/2 (.f64 a x))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 a x) 3)) (.f64 2 (.f64 (.f64 a x) 3))) 8)
(.f64 a (.f64 3/2 x))
(.f64 3/2 (.f64 a x))
(pow.f64 (.f64 a (.f64 x 3/2)) 1)
(.f64 a (.f64 3/2 x))
(.f64 3/2 (.f64 a x))

eval430.0ms (0.5%)

Compiler: Compiled 6750 to 3651 computations (45.9% saved)

prune203.0ms (0.2%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	254	3	257
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	254	9	263

Error

0.0b

Counts

263 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.5b	(-.f64 (.f64 (.f64 a x) 3/2) (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -2)))
✓	31.6b	(-.f64 (exp.f64 (*.f64 a x)) 1)
✓	50.9b	(-.f64 1 1)
▶	19.7b	(+.f64 (-.f64 (.f64 (.f64 a x) 3) (+.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2))) (neg.f64 (.f64 a (.f64 x 3/2))))
✓	18.7b	(+.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))
✓	19.2b	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
▶	18.9b	(.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x)
▶	18.9b	(.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x)))
✓	18.6b	(*.f64 a x)

Compiler

Compiled 131 to 82 computations (37.4% saved)

localize83.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (.f64 3/2 x) (+.f64 (.f64 -1/2 x) x))

Compiler

Compiled 37 to 24 computations (35.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (.f64 3/2 x) (+.f64 (.f64 -1/2 x) x))
1.0ms	x	@	0	(-.f64 (.f64 3/2 x) (+.f64 (.f64 -1/2 x) x))
0.0ms	x	@	-inf	(-.f64 (.f64 3/2 x) (+.f64 (.f64 -1/2 x) x))

rewrite669.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`rational_best-simplify-108`
1076×	`rational_best-4`
1076×	`rational_best-2`
1076×	`rational_best-3`
1076×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	63	17
2	140	13
3	431	1
4	2100	1
5	4841	1
6	6693	1

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

Inputs
(-.f64 (.f64 3/2 x) (+.f64 (.f64 -1/2 x) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/2 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/2) (*.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 (-.f64 -1 (*.f64 x -1/2)) (-.f64 -1 (*.f64 x -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -2) (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -3/2) (*.f64 x 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x 4) (-.f64 x (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x 4) (+.f64 (*.f64 x 1/2) (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x 4)) (/.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x -4) (+.f64 (*.f64 3/2 x) (/.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x -4) (/.f64 (*.f64 x 5/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x -4) (-.f64 x (/.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 5/2) (*.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 3/2 x) (/.f64 x -4)) (/.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 1/2) (/.f64 x 4)) (/.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 5/2) 2) (/.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x -4)) (/.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 x (/.f64 x 4)) (neg.f64 x)) (*.f64 3 (/.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (/.f64 x -4)) (-.f64 (-.f64 x (/.f64 x 4)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 x 1/2)) (-.f64 1 (*.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 x -1/2)) (-.f64 1 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 x -1/2)) (-.f64 -1 (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 x -2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (-.f64 -1 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 x -3/2)) (-.f64 -1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 x -2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 x 1/2)) (-.f64 -1 (*.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 x -3/2)) (-.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 x 6) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/8 (*.f64 (+.f64 x x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) -4) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 x x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 6) (*.f64 x -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) -4) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 x x) 4) (*.f64 (+.f64 x x) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 x x) -4) (*.f64 (+.f64 x x) -4)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x -1/4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 (+.f64 x x) 4) (*.f64 (+.f64 x x) 4)) (+.f64 (*.f64 (+.f64 x x) 4) (*.f64 (+.f64 x x) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 (+.f64 x x) -4) (*.f64 (+.f64 x x) -4)) (+.f64 (*.f64 (+.f64 x x) -4) (*.f64 (+.f64 x x) -4))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x -1/4) (*.f64 x -1/4)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 x -1/4)) (neg.f64 (*.f64 x -1/4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (+.f64 (*.f64 (+.f64 x x) 4) (*.f64 (+.f64 x x) 4)) (+.f64 (*.f64 (+.f64 x x) 4) (*.f64 (+.f64 x x) 4))) (+.f64 (+.f64 (*.f64 (+.f64 x x) 4) (*.f64 (+.f64 x x) 4)) (+.f64 (*.f64 (+.f64 x x) 4) (*.f64 (+.f64 x x) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

simplify957.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1100×	`rational_best-simplify-86`
924×	`rational_best-simplify-1`
896×	`rational_best-simplify-3`
682×	`rational_best-simplify-50`
504×	`rational_best-simplify-108`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	157	411
1	301	405
2	745	405
3	5124	405
4	7689	405

Stop Event

1×	node limit

Counts

93 → 88

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
(+.f64 (.f64 3/2 x) (.f64 x -1/2))
(+.f64 (.f64 x -1/2) (.f64 3/2 x))
(+.f64 (.f64 x 1/2) (.f64 x 1/2))
(+.f64 0 x)
(+.f64 1 (-.f64 -1 (neg.f64 x)))
(+.f64 1 (+.f64 (+.f64 (-.f64 -1 (.f64 x -1/2)) (-.f64 -1 (.f64 x -1/2))) 1))
(+.f64 (+.f64 x x) (neg.f64 x))
(+.f64 (neg.f64 x) (+.f64 x x))
(+.f64 -1 (-.f64 1 (neg.f64 x)))
(+.f64 (.f64 x -2) (.f64 x 3))
(+.f64 (.f64 x 3) (.f64 x -2))
(+.f64 (.f64 x -3/2) (.f64 x 5/2))
(+.f64 (/.f64 x 4) (-.f64 x (/.f64 x 4)))
(+.f64 (/.f64 x 4) (+.f64 (*.f64 x 1/2) (/.f64 x 4)))
(+.f64 (-.f64 x (/.f64 x 4)) (/.f64 x 4))
(+.f64 (/.f64 x -4) (+.f64 (*.f64 3/2 x) (/.f64 x -4)))
(+.f64 (/.f64 x -4) (/.f64 (*.f64 x 5/2) 2))
(+.f64 (/.f64 x -4) (-.f64 x (/.f64 x -4)))
(+.f64 (.f64 x 5/2) (.f64 x -3/2))
(+.f64 (+.f64 (*.f64 3/2 x) (/.f64 x -4)) (/.f64 x -4))
(+.f64 (+.f64 (*.f64 x 1/2) (/.f64 x 4)) (/.f64 x 4))
(+.f64 (/.f64 (*.f64 x 5/2) 2) (/.f64 x -4))
(+.f64 (-.f64 x (/.f64 x -4)) (/.f64 x -4))
(+.f64 (-.f64 (-.f64 x (/.f64 x 4)) (neg.f64 x)) (*.f64 3 (/.f64 x -4)))
(+.f64 (*.f64 3 (/.f64 x -4)) (-.f64 (-.f64 x (/.f64 x 4)) (neg.f64 x)))
(+.f64 (-.f64 -1 (.f64 x 1/2)) (-.f64 1 (.f64 x -3/2)))
(+.f64 (-.f64 -1 (neg.f64 x)) 1)
(+.f64 (-.f64 1 (neg.f64 x)) -1)
(+.f64 (-.f64 -1 (.f64 x -1/2)) (-.f64 1 (.f64 x -1/2)))
(+.f64 (-.f64 1 (.f64 x -1/2)) (-.f64 -1 (.f64 x -1/2)))
(+.f64 (-.f64 -1 (*.f64 x -2)) (-.f64 1 x))
(+.f64 (-.f64 1 x) (-.f64 -1 (*.f64 x -2)))
(+.f64 (-.f64 1 (.f64 x -3/2)) (-.f64 -1 (.f64 x 1/2)))
(+.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x -2)))
(+.f64 (-.f64 1 (*.f64 x -2)) (-.f64 -1 x))
(+.f64 (-.f64 1 (.f64 x 1/2)) (-.f64 -1 (.f64 x -3/2)))
(+.f64 (-.f64 -1 (.f64 x -3/2)) (-.f64 1 (.f64 x 1/2)))
(*.f64 x 1)
(.f64 -1/2 (.f64 x -2))
(.f64 (.f64 x -1/2) -2)
(.f64 (.f64 x 1/2) 2)
(*.f64 1 x)
(*.f64 (+.f64 x x) 1/2)
(*.f64 (neg.f64 x) -1)
(*.f64 -1 (neg.f64 x))
(.f64 (.f64 x -2) -1/2)
(.f64 2 (.f64 x 1/2))
(.f64 -2 (.f64 x -1/2))
(*.f64 1/2 (+.f64 x x))
(.f64 1/2 (+.f64 (.f64 x 6) (*.f64 x -4)))
(.f64 -1/4 (.f64 x -4))
(.f64 (.f64 x 4) 1/4)
(.f64 (.f64 x -4) -1/4)
(.f64 1/4 (.f64 x 4))
(.f64 -1/8 (.f64 (+.f64 x x) -4))
(.f64 (.f64 (+.f64 x x) 4) 1/8)
(.f64 (.f64 (+.f64 x x) -4) -1/8)
(.f64 1/8 (.f64 (+.f64 x x) 4))
(.f64 (+.f64 (.f64 x 6) (*.f64 x -4)) 1/2)
(/.f64 x 1)
(/.f64 (*.f64 x -1/2) -1/2)
(/.f64 (*.f64 x 1/2) 1/2)
(/.f64 (+.f64 x x) 2)
(/.f64 (neg.f64 x) -1)
(/.f64 (*.f64 x -2) -2)
(/.f64 (*.f64 x 4) 4)
(/.f64 (*.f64 x -4) -4)
(/.f64 (*.f64 (+.f64 x x) 4) 8)
(/.f64 (*.f64 (+.f64 x x) -4) -8)
(/.f64 (*.f64 x -1/4) -1/4)
(/.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 (+.f64 x x) 4)) 16)
(/.f64 (+.f64 (.f64 (+.f64 x x) -4) (.f64 (+.f64 x x) -4)) -16)
(/.f64 (neg.f64 (*.f64 x -1/4)) 1/4)
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 (+.f64 x x) 4)) (+.f64 (.f64 (+.f64 x x) 4) (.f64 (+.f64 x x) 4))) 32)
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 x x) -4) (.f64 (+.f64 x x) -4)) (+.f64 (.f64 (+.f64 x x) -4) (.f64 (+.f64 x x) -4))) -32)
(/.f64 (+.f64 (.f64 x -1/4) (.f64 x -1/4)) -1/2)
(/.f64 (+.f64 (neg.f64 (.f64 x -1/4)) (neg.f64 (.f64 x -1/4))) 1/2)
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 (+.f64 x x) 4)) (+.f64 (.f64 (+.f64 x x) 4) (.f64 (+.f64 x x) 4))) (+.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 (+.f64 x x) 4)) (+.f64 (.f64 (+.f64 x x) 4) (.f64 (+.f64 x x) 4)))) 64)
(pow.f64 x 1)
(neg.f64 (neg.f64 x))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
x
(+.f64 (.f64 3/2 x) (.f64 x -1/2))
x
(+.f64 (.f64 x -1/2) (.f64 3/2 x))
x
(+.f64 (.f64 x 1/2) (.f64 x 1/2))
x
(+.f64 0 x)
x
(+.f64 1 (-.f64 -1 (neg.f64 x)))
x
(+.f64 1 (+.f64 (+.f64 (-.f64 -1 (.f64 x -1/2)) (-.f64 -1 (.f64 x -1/2))) 1))
(+.f64 1 (+.f64 1 (+.f64 (-.f64 -1 (.f64 x -1/2)) (-.f64 -1 (.f64 x -1/2)))))
(+.f64 (+.f64 (-.f64 -1 (.f64 x -1/2)) (-.f64 -1 (.f64 x -1/2))) 2)
(+.f64 (+.f64 x x) (neg.f64 x))
x
(+.f64 (neg.f64 x) (+.f64 x x))
x
(+.f64 -1 (-.f64 1 (neg.f64 x)))
x
(+.f64 (.f64 x -2) (.f64 x 3))
x
(+.f64 (.f64 x 3) (.f64 x -2))
x
(+.f64 (.f64 x -3/2) (.f64 x 5/2))
x
(+.f64 (/.f64 x 4) (-.f64 x (/.f64 x 4)))
x
(+.f64 (/.f64 x 4) (+.f64 (*.f64 x 1/2) (/.f64 x 4)))
x
(+.f64 (-.f64 x (/.f64 x 4)) (/.f64 x 4))
x
(+.f64 (/.f64 x -4) (+.f64 (*.f64 3/2 x) (/.f64 x -4)))
x
(+.f64 (/.f64 x -4) (/.f64 (*.f64 x 5/2) 2))
x
(+.f64 (/.f64 x -4) (-.f64 x (/.f64 x -4)))
x
(+.f64 (.f64 x 5/2) (.f64 x -3/2))
x
(+.f64 (+.f64 (*.f64 3/2 x) (/.f64 x -4)) (/.f64 x -4))
x
(+.f64 (+.f64 (*.f64 x 1/2) (/.f64 x 4)) (/.f64 x 4))
x
(+.f64 (/.f64 (*.f64 x 5/2) 2) (/.f64 x -4))
x
(+.f64 (-.f64 x (/.f64 x -4)) (/.f64 x -4))
x
(+.f64 (-.f64 (-.f64 x (/.f64 x 4)) (neg.f64 x)) (*.f64 3 (/.f64 x -4)))
x
(+.f64 (*.f64 3 (/.f64 x -4)) (-.f64 (-.f64 x (/.f64 x 4)) (neg.f64 x)))
x
(+.f64 (-.f64 -1 (.f64 x 1/2)) (-.f64 1 (.f64 x -3/2)))
(+.f64 (-.f64 1 (.f64 x -3/2)) (+.f64 -1 (.f64 x -1/2)))
(+.f64 (-.f64 1 (.f64 x -3/2)) (+.f64 (.f64 x -1/2) -1))
(+.f64 (-.f64 -1 (neg.f64 x)) 1)
x
(+.f64 (-.f64 1 (neg.f64 x)) -1)
x
(+.f64 (-.f64 -1 (.f64 x -1/2)) (-.f64 1 (.f64 x -1/2)))
(+.f64 (-.f64 1 (.f64 x -1/2)) (-.f64 -1 (.f64 x -1/2)))
(+.f64 (-.f64 -1 (.f64 x -1/2)) (-.f64 1 (.f64 x -1/2)))
(+.f64 (-.f64 -1 (*.f64 x -2)) (-.f64 1 x))
(+.f64 (-.f64 1 x) (-.f64 -1 (*.f64 x -2)))
(+.f64 (-.f64 -1 (*.f64 x -2)) (-.f64 1 x))
(+.f64 (-.f64 1 (.f64 x -3/2)) (-.f64 -1 (.f64 x 1/2)))
(+.f64 (-.f64 -1 (.f64 x 1/2)) (-.f64 1 (.f64 x -3/2)))
(+.f64 (-.f64 1 (.f64 x -3/2)) (+.f64 -1 (.f64 x -1/2)))
(+.f64 (-.f64 1 (.f64 x -3/2)) (+.f64 (.f64 x -1/2) -1))
(+.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x -2)))
(+.f64 (-.f64 1 (*.f64 x -2)) (-.f64 -1 x))
(+.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x -2)))
(+.f64 (-.f64 1 (.f64 x 1/2)) (-.f64 -1 (.f64 x -3/2)))
(+.f64 (-.f64 -1 (.f64 x -3/2)) (+.f64 1 (.f64 x -1/2)))
(+.f64 (-.f64 -1 (.f64 x -3/2)) (+.f64 (.f64 x -1/2) 1))
(+.f64 (-.f64 -1 (.f64 x -3/2)) (-.f64 1 (.f64 x 1/2)))
(+.f64 (-.f64 1 (.f64 x 1/2)) (-.f64 -1 (.f64 x -3/2)))
(+.f64 (-.f64 -1 (.f64 x -3/2)) (+.f64 1 (.f64 x -1/2)))
(+.f64 (-.f64 -1 (.f64 x -3/2)) (+.f64 (.f64 x -1/2) 1))
(*.f64 x 1)
x
(.f64 -1/2 (.f64 x -2))
x
(.f64 (.f64 x -1/2) -2)
x
(.f64 (.f64 x 1/2) 2)
x
(*.f64 1 x)
x
(*.f64 (+.f64 x x) 1/2)
x
(*.f64 (neg.f64 x) -1)
x
(*.f64 -1 (neg.f64 x))
x
(.f64 (.f64 x -2) -1/2)
x
(.f64 2 (.f64 x 1/2))
x
(.f64 -2 (.f64 x -1/2))
x
(*.f64 1/2 (+.f64 x x))
x
(.f64 1/2 (+.f64 (.f64 x 6) (*.f64 x -4)))
x
(.f64 -1/4 (.f64 x -4))
x
(.f64 (.f64 x 4) 1/4)
x
(.f64 (.f64 x -4) -1/4)
x
(.f64 1/4 (.f64 x 4))
x
(.f64 -1/8 (.f64 (+.f64 x x) -4))
x
(.f64 (.f64 (+.f64 x x) 4) 1/8)
x
(.f64 (.f64 (+.f64 x x) -4) -1/8)
x
(.f64 1/8 (.f64 (+.f64 x x) 4))
x
(.f64 (+.f64 (.f64 x 6) (*.f64 x -4)) 1/2)
x
(/.f64 x 1)
x
(/.f64 (*.f64 x -1/2) -1/2)
x
(/.f64 (*.f64 x 1/2) 1/2)
x
(/.f64 (+.f64 x x) 2)
x
(/.f64 (neg.f64 x) -1)
x
(/.f64 (*.f64 x -2) -2)
x
(/.f64 (*.f64 x 4) 4)
x
(/.f64 (*.f64 x -4) -4)
x
(/.f64 (*.f64 (+.f64 x x) 4) 8)
x
(/.f64 (*.f64 (+.f64 x x) -4) -8)
x
(/.f64 (*.f64 x -1/4) -1/4)
x
(/.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 (+.f64 x x) 4)) 16)
x
(/.f64 (+.f64 (.f64 (+.f64 x x) -4) (.f64 (+.f64 x x) -4)) -16)
x
(/.f64 (neg.f64 (*.f64 x -1/4)) 1/4)
x
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 (+.f64 x x) 4)) (+.f64 (.f64 (+.f64 x x) 4) (.f64 (+.f64 x x) 4))) 32)
x
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 x x) -4) (.f64 (+.f64 x x) -4)) (+.f64 (.f64 (+.f64 x x) -4) (.f64 (+.f64 x x) -4))) -32)
x
(/.f64 (+.f64 (.f64 x -1/4) (.f64 x -1/4)) -1/2)
x
(/.f64 (+.f64 (neg.f64 (.f64 x -1/4)) (neg.f64 (.f64 x -1/4))) 1/2)
x
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 (+.f64 x x) 4)) (+.f64 (.f64 (+.f64 x x) 4) (.f64 (+.f64 x x) 4))) (+.f64 (+.f64 (.f64 (+.f64 x x) 4) (.f64 (+.f64 x x) 4)) (+.f64 (.f64 (+.f64 x x) 4) (.f64 (+.f64 x x) 4)))) 64)
x
(pow.f64 x 1)
x
(neg.f64 (neg.f64 x))
x

localize93.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 (.f64 3/2 a) (+.f64 (.f64 -1/2 a) a))

Compiler

Compiled 37 to 24 computations (35.1% saved)

series13.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	a	@	inf	(-.f64 (.f64 3/2 a) (+.f64 (.f64 -1/2 a) a))
0.0ms	a	@	0	(-.f64 (.f64 3/2 a) (+.f64 (.f64 -1/2 a) a))
0.0ms	a	@	-inf	(-.f64 (.f64 3/2 a) (+.f64 (.f64 -1/2 a) a))

rewrite907.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`rational_best-simplify-108`
1076×	`rational_best-4`
1076×	`rational_best-2`
1076×	`rational_best-3`
1076×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	63	17
2	140	13
3	431	1
4	2100	1
5	4841	1
6	6693	1

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

Inputs
(-.f64 (.f64 3/2 a) (+.f64 (.f64 -1/2 a) a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 a 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/2 a) (*.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a -1/2) (*.f64 3/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a 1/2) (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 (-.f64 -1 (*.f64 a -1/2)) (-.f64 -1 (*.f64 a -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a a) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 a) (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a -2) (*.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a 3) (*.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a -3/2) (*.f64 a 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a 4) (-.f64 a (/.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a 4) (+.f64 (*.f64 a 1/2) (/.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (/.f64 a 4)) (/.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a -4) (+.f64 (*.f64 3/2 a) (/.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a -4) (/.f64 (*.f64 a 5/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a -4) (-.f64 a (/.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a 5/2) (*.f64 a -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 3/2 a) (/.f64 a -4)) (/.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 a 1/2) (/.f64 a 4)) (/.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 a 5/2) 2) (/.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (/.f64 a -4)) (/.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 a (/.f64 a 4)) (neg.f64 a)) (*.f64 3 (/.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (/.f64 a -4)) (-.f64 (-.f64 a (/.f64 a 4)) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 a 1/2)) (-.f64 1 (*.f64 a -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 a -1/2)) (-.f64 1 (*.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 a -1/2)) (-.f64 -1 (*.f64 a -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 a -2)) (-.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 a) (-.f64 -1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 a -3/2)) (-.f64 -1 (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 a) (-.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 a -2)) (-.f64 -1 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 a 1/2)) (-.f64 -1 (*.f64 a -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 a -3/2)) (-.f64 1 (*.f64 a 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a a) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 a 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 a -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 a 6) (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a -4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/8 (*.f64 (+.f64 a a) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a a) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 a a) -4) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a 6) (*.f64 a -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -1/2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 a a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a a) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 a a) -4) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a -1/4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 a a) 4) (*.f64 (+.f64 a a) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 a a) -4) (*.f64 (+.f64 a a) -4)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a -1/4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 (+.f64 a a) 4) (*.f64 (+.f64 a a) 4)) (+.f64 (*.f64 (+.f64 a a) 4) (*.f64 (+.f64 a a) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 (+.f64 a a) -4) (*.f64 (+.f64 a a) -4)) (+.f64 (*.f64 (+.f64 a a) -4) (*.f64 (+.f64 a a) -4))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 a -1/4) (*.f64 a -1/4)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 a -1/4)) (neg.f64 (*.f64 a -1/4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (+.f64 (*.f64 (+.f64 a a) 4) (*.f64 (+.f64 a a) 4)) (+.f64 (*.f64 (+.f64 a a) 4) (*.f64 (+.f64 a a) 4))) (+.f64 (+.f64 (*.f64 (+.f64 a a) 4) (*.f64 (+.f64 a a) 4)) (+.f64 (*.f64 (+.f64 a a) 4) (*.f64 (+.f64 a a) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x . a)))))

simplify1.1s (1.2%)

Algorithm

1×	egg-herbie

Rules

1100×	`rational_best-simplify-86`
924×	`rational_best-simplify-1`
896×	`rational_best-simplify-3`
682×	`rational_best-simplify-50`
504×	`rational_best-simplify-108`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	157	411
1	301	405
2	745	405
3	5124	405
4	7689	405

Stop Event

1×	node limit

Counts

93 → 88

Calls

Call 1

Inputs
a
a
a
a
a
a
a
a
a
a
a
a
(+.f64 a 0)
(+.f64 (.f64 3/2 a) (.f64 a -1/2))
(+.f64 (.f64 a -1/2) (.f64 3/2 a))
(+.f64 (.f64 a 1/2) (.f64 a 1/2))
(+.f64 0 a)
(+.f64 1 (-.f64 -1 (neg.f64 a)))
(+.f64 1 (+.f64 (+.f64 (-.f64 -1 (.f64 a -1/2)) (-.f64 -1 (.f64 a -1/2))) 1))
(+.f64 (+.f64 a a) (neg.f64 a))
(+.f64 (neg.f64 a) (+.f64 a a))
(+.f64 -1 (-.f64 1 (neg.f64 a)))
(+.f64 (.f64 a -2) (.f64 a 3))
(+.f64 (.f64 a 3) (.f64 a -2))
(+.f64 (.f64 a -3/2) (.f64 a 5/2))
(+.f64 (/.f64 a 4) (-.f64 a (/.f64 a 4)))
(+.f64 (/.f64 a 4) (+.f64 (*.f64 a 1/2) (/.f64 a 4)))
(+.f64 (-.f64 a (/.f64 a 4)) (/.f64 a 4))
(+.f64 (/.f64 a -4) (+.f64 (*.f64 3/2 a) (/.f64 a -4)))
(+.f64 (/.f64 a -4) (/.f64 (*.f64 a 5/2) 2))
(+.f64 (/.f64 a -4) (-.f64 a (/.f64 a -4)))
(+.f64 (.f64 a 5/2) (.f64 a -3/2))
(+.f64 (+.f64 (*.f64 3/2 a) (/.f64 a -4)) (/.f64 a -4))
(+.f64 (+.f64 (*.f64 a 1/2) (/.f64 a 4)) (/.f64 a 4))
(+.f64 (/.f64 (*.f64 a 5/2) 2) (/.f64 a -4))
(+.f64 (-.f64 a (/.f64 a -4)) (/.f64 a -4))
(+.f64 (-.f64 (-.f64 a (/.f64 a 4)) (neg.f64 a)) (*.f64 3 (/.f64 a -4)))
(+.f64 (*.f64 3 (/.f64 a -4)) (-.f64 (-.f64 a (/.f64 a 4)) (neg.f64 a)))
(+.f64 (-.f64 -1 (.f64 a 1/2)) (-.f64 1 (.f64 a -3/2)))
(+.f64 (-.f64 -1 (neg.f64 a)) 1)
(+.f64 (-.f64 1 (neg.f64 a)) -1)
(+.f64 (-.f64 -1 (.f64 a -1/2)) (-.f64 1 (.f64 a -1/2)))
(+.f64 (-.f64 1 (.f64 a -1/2)) (-.f64 -1 (.f64 a -1/2)))
(+.f64 (-.f64 -1 (*.f64 a -2)) (-.f64 1 a))
(+.f64 (-.f64 1 a) (-.f64 -1 (*.f64 a -2)))
(+.f64 (-.f64 1 (.f64 a -3/2)) (-.f64 -1 (.f64 a 1/2)))
(+.f64 (-.f64 -1 a) (-.f64 1 (*.f64 a -2)))
(+.f64 (-.f64 1 (*.f64 a -2)) (-.f64 -1 a))
(+.f64 (-.f64 1 (.f64 a 1/2)) (-.f64 -1 (.f64 a -3/2)))
(+.f64 (-.f64 -1 (.f64 a -3/2)) (-.f64 1 (.f64 a 1/2)))
(*.f64 a 1)
(.f64 -1/2 (.f64 a -2))
(.f64 (.f64 a -1/2) -2)
(.f64 (.f64 a 1/2) 2)
(*.f64 1 a)
(*.f64 (+.f64 a a) 1/2)
(*.f64 (neg.f64 a) -1)
(*.f64 -1 (neg.f64 a))
(.f64 (.f64 a -2) -1/2)
(.f64 2 (.f64 a 1/2))
(.f64 -2 (.f64 a -1/2))
(*.f64 1/2 (+.f64 a a))
(.f64 1/2 (+.f64 (.f64 a 6) (*.f64 a -4)))
(.f64 -1/4 (.f64 a -4))
(.f64 (.f64 a 4) 1/4)
(.f64 (.f64 a -4) -1/4)
(.f64 1/4 (.f64 a 4))
(.f64 -1/8 (.f64 (+.f64 a a) -4))
(.f64 (.f64 (+.f64 a a) 4) 1/8)
(.f64 (.f64 (+.f64 a a) -4) -1/8)
(.f64 1/8 (.f64 (+.f64 a a) 4))
(.f64 (+.f64 (.f64 a 6) (*.f64 a -4)) 1/2)
(/.f64 a 1)
(/.f64 (*.f64 a -1/2) -1/2)
(/.f64 (*.f64 a 1/2) 1/2)
(/.f64 (+.f64 a a) 2)
(/.f64 (neg.f64 a) -1)
(/.f64 (*.f64 a -2) -2)
(/.f64 (*.f64 a 4) 4)
(/.f64 (*.f64 a -4) -4)
(/.f64 (*.f64 (+.f64 a a) 4) 8)
(/.f64 (*.f64 (+.f64 a a) -4) -8)
(/.f64 (*.f64 a -1/4) -1/4)
(/.f64 (+.f64 (.f64 (+.f64 a a) 4) (.f64 (+.f64 a a) 4)) 16)
(/.f64 (+.f64 (.f64 (+.f64 a a) -4) (.f64 (+.f64 a a) -4)) -16)
(/.f64 (neg.f64 (*.f64 a -1/4)) 1/4)
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 a a) 4) (.f64 (+.f64 a a) 4)) (+.f64 (.f64 (+.f64 a a) 4) (.f64 (+.f64 a a) 4))) 32)
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 a a) -4) (.f64 (+.f64 a a) -4)) (+.f64 (.f64 (+.f64 a a) -4) (.f64 (+.f64 a a) -4))) -32)
(/.f64 (+.f64 (.f64 a -1/4) (.f64 a -1/4)) -1/2)
(/.f64 (+.f64 (neg.f64 (.f64 a -1/4)) (neg.f64 (.f64 a -1/4))) 1/2)
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 a a) 4) (.f64 (+.f64 a a) 4)) (+.f64 (.f64 (+.f64 a a) 4) (.f64 (+.f64 a a) 4))) (+.f64 (+.f64 (.f64 (+.f64 a a) 4) (.f64 (+.f64 a a) 4)) (+.f64 (.f64 (+.f64 a a) 4) (.f64 (+.f64 a a) 4)))) 64)
(pow.f64 a 1)
(neg.f64 (neg.f64 a))

Outputs
a
a
a
a
a
a
a
a
a
a
a
a
(+.f64 a 0)
a
(+.f64 (.f64 3/2 a) (.f64 a -1/2))
a
(+.f64 (.f64 a -1/2) (.f64 3/2 a))
a
(+.f64 (.f64 a 1/2) (.f64 a 1/2))
a
(+.f64 0 a)
a
(+.f64 1 (-.f64 -1 (neg.f64 a)))
a
(+.f64 1 (+.f64 (+.f64 (-.f64 -1 (.f64 a -1/2)) (-.f64 -1 (.f64 a -1/2))) 1))
(+.f64 1 (+.f64 1 (+.f64 (-.f64 -1 (.f64 a -1/2)) (-.f64 -1 (.f64 a -1/2)))))
(+.f64 (+.f64 (-.f64 -1 (.f64 a -1/2)) (-.f64 -1 (.f64 a -1/2))) 2)
(+.f64 (+.f64 a a) (neg.f64 a))
a
(+.f64 (neg.f64 a) (+.f64 a a))
a
(+.f64 -1 (-.f64 1 (neg.f64 a)))
a
(+.f64 (.f64 a -2) (.f64 a 3))
a
(+.f64 (.f64 a 3) (.f64 a -2))
a
(+.f64 (.f64 a -3/2) (.f64 a 5/2))
a
(+.f64 (/.f64 a 4) (-.f64 a (/.f64 a 4)))
a
(+.f64 (/.f64 a 4) (+.f64 (*.f64 a 1/2) (/.f64 a 4)))
a
(+.f64 (-.f64 a (/.f64 a 4)) (/.f64 a 4))
a
(+.f64 (/.f64 a -4) (+.f64 (*.f64 3/2 a) (/.f64 a -4)))
a
(+.f64 (/.f64 a -4) (/.f64 (*.f64 a 5/2) 2))
a
(+.f64 (/.f64 a -4) (-.f64 a (/.f64 a -4)))
a
(+.f64 (.f64 a 5/2) (.f64 a -3/2))
a
(+.f64 (+.f64 (*.f64 3/2 a) (/.f64 a -4)) (/.f64 a -4))
a
(+.f64 (+.f64 (*.f64 a 1/2) (/.f64 a 4)) (/.f64 a 4))
a
(+.f64 (/.f64 (*.f64 a 5/2) 2) (/.f64 a -4))
a
(+.f64 (-.f64 a (/.f64 a -4)) (/.f64 a -4))
a
(+.f64 (-.f64 (-.f64 a (/.f64 a 4)) (neg.f64 a)) (*.f64 3 (/.f64 a -4)))
a
(+.f64 (*.f64 3 (/.f64 a -4)) (-.f64 (-.f64 a (/.f64 a 4)) (neg.f64 a)))
a
(+.f64 (-.f64 -1 (.f64 a 1/2)) (-.f64 1 (.f64 a -3/2)))
(+.f64 (-.f64 1 (.f64 a -3/2)) (+.f64 -1 (.f64 a -1/2)))
(+.f64 (-.f64 1 (.f64 a -3/2)) (+.f64 (.f64 a -1/2) -1))
(+.f64 (-.f64 -1 (neg.f64 a)) 1)
a
(+.f64 (-.f64 1 (neg.f64 a)) -1)
a
(+.f64 (-.f64 -1 (.f64 a -1/2)) (-.f64 1 (.f64 a -1/2)))
(+.f64 (-.f64 1 (.f64 a -1/2)) (-.f64 -1 (.f64 a -1/2)))
(+.f64 (-.f64 -1 (.f64 a -1/2)) (-.f64 1 (.f64 a -1/2)))
(+.f64 (-.f64 -1 (*.f64 a -2)) (-.f64 1 a))
(+.f64 (-.f64 1 a) (-.f64 -1 (*.f64 a -2)))
(+.f64 (-.f64 -1 (*.f64 a -2)) (-.f64 1 a))
(+.f64 (-.f64 1 (.f64 a -3/2)) (-.f64 -1 (.f64 a 1/2)))
(+.f64 (-.f64 -1 (.f64 a 1/2)) (-.f64 1 (.f64 a -3/2)))
(+.f64 (-.f64 1 (.f64 a -3/2)) (+.f64 -1 (.f64 a -1/2)))
(+.f64 (-.f64 1 (.f64 a -3/2)) (+.f64 (.f64 a -1/2) -1))
(+.f64 (-.f64 -1 a) (-.f64 1 (*.f64 a -2)))
(+.f64 (-.f64 1 (*.f64 a -2)) (-.f64 -1 a))
(+.f64 (-.f64 -1 a) (-.f64 1 (*.f64 a -2)))
(+.f64 (-.f64 1 (.f64 a 1/2)) (-.f64 -1 (.f64 a -3/2)))
(+.f64 (-.f64 -1 (.f64 a -3/2)) (+.f64 1 (.f64 a -1/2)))
(+.f64 (-.f64 -1 (.f64 a -3/2)) (+.f64 (.f64 a -1/2) 1))
(+.f64 (-.f64 -1 (.f64 a -3/2)) (-.f64 1 (.f64 a 1/2)))
(+.f64 (-.f64 1 (.f64 a 1/2)) (-.f64 -1 (.f64 a -3/2)))
(+.f64 (-.f64 -1 (.f64 a -3/2)) (+.f64 1 (.f64 a -1/2)))
(+.f64 (-.f64 -1 (.f64 a -3/2)) (+.f64 (.f64 a -1/2) 1))
(*.f64 a 1)
a
(.f64 -1/2 (.f64 a -2))
a
(.f64 (.f64 a -1/2) -2)
a
(.f64 (.f64 a 1/2) 2)
a
(*.f64 1 a)
a
(*.f64 (+.f64 a a) 1/2)
a
(*.f64 (neg.f64 a) -1)
a
(*.f64 -1 (neg.f64 a))
a
(.f64 (.f64 a -2) -1/2)
a
(.f64 2 (.f64 a 1/2))
a
(.f64 -2 (.f64 a -1/2))
a
(*.f64 1/2 (+.f64 a a))
a
(.f64 1/2 (+.f64 (.f64 a 6) (*.f64 a -4)))
a
(.f64 -1/4 (.f64 a -4))
a
(.f64 (.f64 a 4) 1/4)
a
(.f64 (.f64 a -4) -1/4)
a
(.f64 1/4 (.f64 a 4))
a
(.f64 -1/8 (.f64 (+.f64 a a) -4))
a
(.f64 (.f64 (+.f64 a a) 4) 1/8)
a
(.f64 (.f64 (+.f64 a a) -4) -1/8)
a
(.f64 1/8 (.f64 (+.f64 a a) 4))
a
(.f64 (+.f64 (.f64 a 6) (*.f64 a -4)) 1/2)
a
(/.f64 a 1)
a
(/.f64 (*.f64 a -1/2) -1/2)
a
(/.f64 (*.f64 a 1/2) 1/2)
a
(/.f64 (+.f64 a a) 2)
a
(/.f64 (neg.f64 a) -1)
a
(/.f64 (*.f64 a -2) -2)
a
(/.f64 (*.f64 a 4) 4)
a
(/.f64 (*.f64 a -4) -4)
a
(/.f64 (*.f64 (+.f64 a a) 4) 8)
a
(/.f64 (*.f64 (+.f64 a a) -4) -8)
a
(/.f64 (*.f64 a -1/4) -1/4)
a
(/.f64 (+.f64 (.f64 (+.f64 a a) 4) (.f64 (+.f64 a a) 4)) 16)
a
(/.f64 (+.f64 (.f64 (+.f64 a a) -4) (.f64 (+.f64 a a) -4)) -16)
a
(/.f64 (neg.f64 (*.f64 a -1/4)) 1/4)
a
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 a a) 4) (.f64 (+.f64 a a) 4)) (+.f64 (.f64 (+.f64 a a) 4) (.f64 (+.f64 a a) 4))) 32)
a
(/.f64 (+.f64 (+.f64 (.f64 (+.f64 a a) -4) (.f64 (+.f64 a a) -4)) (+.f64 (.f64 (+.f64 a a) -4) (.f64 (+.f64 a a) -4))) -32)
a
(/.f64 (+.f64 (.f64 a -1/4) (.f64 a -1/4)) -1/2)
a
(/.f64 (+.f64 (neg.f64 (.f64 a -1/4)) (neg.f64 (.f64 a -1/4))) 1/2)
a
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 (+.f64 a a) 4) (.f64 (+.f64 a a) 4)) (+.f64 (.f64 (+.f64 a a) 4) (.f64 (+.f64 a a) 4))) (+.f64 (+.f64 (.f64 (+.f64 a a) 4) (.f64 (+.f64 a a) 4)) (+.f64 (.f64 (+.f64 a a) 4) (.f64 (+.f64 a a) 4)))) 64)
a
(pow.f64 a 1)
a
(neg.f64 (neg.f64 a))
a

localize408.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 a x) 3)
✓	0.4b	(+.f64 (-.f64 (.f64 (.f64 a x) 3) (+.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2))) (neg.f64 (.f64 a (.f64 x 3/2))))
	3.2b	(+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))
✓	3.3b	(-.f64 (.f64 (.f64 a x) 3) (+.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2)))

Compiler

Compiled 119 to 57 computations (52.1% saved)

series19.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	a	@	-inf	(-.f64 (.f64 (.f64 a x) 3) (+.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2)))
0.0ms	a	@	0	(-.f64 (.f64 (.f64 a x) 3) (+.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2)))
0.0ms	x	@	inf	(-.f64 (.f64 (.f64 a x) 3) (+.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2)))
0.0ms	x	@	0	(-.f64 (.f64 (.f64 a x) 3) (+.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2)))
0.0ms	x	@	-inf	(-.f64 (.f64 (.f64 a x) 3) (+.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2)))

rewrite819.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`rational_best-simplify-108`
718×	`rational_best-simplify-1`
564×	`rational_best-simplify-47`
528×	`rational_best-simplify-83`
450×	`rational_best-simplify-63`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	153
1	145	137
2	316	129
3	1007	111
4	6059	111

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

Inputs

(-.f64 (*.f64 (*.f64 a x) 3) (+.f64 (*.f64 a x) (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) -1/2)))

(+.f64 (-.f64 (*.f64 (*.f64 a x) 3) (+.f64 (*.f64 a x) (*.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) -1/2))) (neg.f64 (*.f64 a (*.f64 x 3/2))))

(*.f64 (*.f64 a x) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a x) (+.f64 (*.f64 a x) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a x) (-.f64 (*.f64 a x) (*.f64 -1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a x) (/.f64 (+.f64 (*.f64 a (+.f64 x x)) (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 x 3)) (-.f64 (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 a (+.f64 x x)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 x 3/2)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) (*.f64 (*.f64 a x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) (*.f64 (*.f64 a x) 1/2)) (*.f64 a (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 a (+.f64 x x)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 x x)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) (*.f64 a (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (neg.f64 x)) (+.f64 (*.f64 a (*.f64 x 3)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a x) 1/2) (+.f64 (*.f64 a (*.f64 x 3/2)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 a (*.f64 x 3)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))) (*.f64 a (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) (*.f64 a x)) (*.f64 a (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 a (*.f64 x 3/2)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))) (*.f64 (*.f64 a x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 a x) (/.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 4)) (+.f64 (*.f64 a x) (/.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a x) (*.f64 -1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))) (*.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a (*.f64 x 3)) (/.f64 (-.f64 (*.f64 a (+.f64 x x)) (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) 4)) (/.f64 (+.f64 (*.f64 a x) (*.f64 -1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a (+.f64 x x)) (/.f64 (-.f64 (*.f64 a (neg.f64 x)) (pow.f64 (*.f64 a x) 2)) 4)) (/.f64 (-.f64 (*.f64 a (neg.f64 x)) (pow.f64 (*.f64 a x) 2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (*.f64 a (*.f64 x 3)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))) (*.f64 a (/.f64 x 2))) (/.f64 (*.f64 a x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (*.f64 a x) 6) (+.f64 (*.f64 a x) (*.f64 -1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))))) (*.f64 (*.f64 a x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) (*.f64 x (*.f64 a -2))) (*.f64 -1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) (*.f64 a x)) 2) (/.f64 (+.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) (*.f64 a x)) (*.f64 (*.f64 a x) 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)) 4) (/.f64 (+.f64 (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) (*.f64 (*.f64 a x) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 a (neg.f64 x)) 2) (/.f64 (+.f64 (*.f64 a (neg.f64 x)) (+.f64 (*.f64 (*.f64 a x) 6) (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (*.f64 a x) 4) (*.f64 -1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))) (*.f64 x (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 a x)) (-.f64 1 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) (*.f64 (*.f64 a x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 x (*.f64 a -2))) (-.f64 1 (*.f64 -1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 -1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))) (-.f64 1 (*.f64 x (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) (*.f64 (*.f64 a x) -3))) (-.f64 1 (*.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a (+.f64 x x)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 a (+.f64 x x)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) (*.f64 x (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) (*.f64 x (*.f64 a -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 a (+.f64 x x)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 a (+.f64 x x)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 2 (+.f64 (*.f64 a (+.f64 x x)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (*.f64 2 (+.f64 (*.f64 a (+.f64 x x)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 a (+.f64 x x)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) (*.f64 x (*.f64 a -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 a (+.f64 x x)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 (*.f64 a (+.f64 x x)) (*.f64 1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 a x) (pow.f64 (*.f64 a x) 2))) (*.f64 x (*.f64 a -2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 x 3/2)) (*.f64 a (*.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (/.f64 (*.f64 x 3/2) 2)) (+.f64 (*.f64 a (/.f64 (*.f64 x 3/2) 2)) (*.f64 a (*.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (/.f64 (*.f64 x 3/2) 2)) (*.f64 3 (*.f64 a (/.f64 (*.f64 x 3/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 a (/.f64 (*.f64 x 3/2) 2))) (*.f64 a (/.f64 (*.f64 x 3/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -3 (/.f64 (*.f64 (*.f64 a x) -3) 4)) (/.f64 (*.f64 (*.f64 a x) -3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (*.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (*.f64 x 3/2)) (*.f64 (*.f64 a x) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 a x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 a x) 6) (*.f64 a (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (/.f64 (*.f64 x 3/2) 2)) (*.f64 -3 (*.f64 a (/.f64 (*.f64 x 3/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 a x) 4) (*.f64 a x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a (/.f64 (*.f64 x 3/2) 2)) (*.f64 a (*.f64 x 3/2))) (/.f64 (*.f64 (*.f64 a x) -3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 3 (*.f64 a (/.f64 (*.f64 x 3/2) 2))) (/.f64 (*.f64 (*.f64 a x) -3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 -1 (*.f64 (*.f64 a x) -3/2)) (-.f64 -1 (*.f64 (*.f64 a x) -3/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 x 3/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a x) -3/2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a x) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a x) 6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 a x) 6)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 a x) 6)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 a x) 6)) (*.f64 2 (*.f64 (*.f64 a x) 6))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 (*.f64 x 6) (*.f64 x 6))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 3/2) (+.f64 (*.f64 2 (+.f64 a a)) (*.f64 2 (+.f64 a a)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x 6) (*.f64 x 6)) (*.f64 2 (+.f64 a a))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 6) (+.f64 (*.f64 2 (+.f64 a a)) (*.f64 2 (+.f64 a a)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (+.f64 a a)) (+.f64 (*.f64 x 6) (*.f64 x 6))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 a 3/2) (*.f64 a 3/2)) (*.f64 2 (+.f64 x x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 2 (+.f64 a a)) (*.f64 2 (+.f64 a a))) (*.f64 x 6)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (+.f64 x x)) (+.f64 (*.f64 a 3/2) (*.f64 a 3/2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 2 (+.f64 x x)) (*.f64 2 (+.f64 x x))) (*.f64 a 3/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 a x) 6)) (*.f64 2 (*.f64 (*.f64 a x) 6))) (+.f64 (*.f64 2 (*.f64 (*.f64 a x) 6)) (*.f64 2 (*.f64 (*.f64 a x) 6)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 a x) -3))))))

simplify1.1s (1.1%)

Algorithm

1×	egg-herbie

Rules

1092×	`rational_best-simplify-65`
730×	`rational_best-simplify-1`
676×	`rational_best-simplify-50`
644×	`rational_best-simplify-67`
640×	`rational_best-simplify-56`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	542	17502
1	1463	16110
2	4209	13534

Stop Event

1×	node limit

Counts

286 → 439

Calls

Call 1

Inputs
(.f64 a (-.f64 (.f64 3 x) (+.f64 (*.f64 -1/2 x) x)))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) x))) (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) x))) (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) 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 (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) x))) (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) x))) (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) 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 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 a (-.f64 (.f64 -3 x) (+.f64 (.f64 1/2 x) (*.f64 -1 x))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 a (-.f64 (.f64 -3 x) (+.f64 (.f64 1/2 x) (*.f64 -1 x))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 a (-.f64 (.f64 -3 x) (+.f64 (.f64 1/2 x) (*.f64 -1 x))))))
(.f64 (-.f64 (.f64 3 a) (+.f64 (*.f64 -1/2 a) a)) x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3 a) (+.f64 (*.f64 -1/2 a) a)) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3 a) (+.f64 (*.f64 -1/2 a) a)) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3 a) (+.f64 (*.f64 -1/2 a) 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 (-.f64 (.f64 3 a) (+.f64 (*.f64 -1/2 a) a)) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3 a) (+.f64 (*.f64 -1/2 a) a)) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3 a) (+.f64 (*.f64 -1/2 a) 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 -1 (.f64 (-.f64 (.f64 -3 a) (+.f64 (.f64 1/2 a) (*.f64 -1 a))) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 (-.f64 (.f64 -3 a) (+.f64 (.f64 1/2 a) (*.f64 -1 a))) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 (-.f64 (.f64 -3 a) (+.f64 (.f64 1/2 a) (*.f64 -1 a))) x)))
(.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 3/2 x) x))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 3/2 x) x)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 3/2 x) x)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 3/2 x) 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 (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 3/2 x) x)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 3/2 x) x)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 3/2 x) 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 -1 (.f64 a (-.f64 (.f64 -3 x) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -3/2 x) (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 a (-.f64 (.f64 -3 x) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -3/2 x) (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 a (-.f64 (.f64 -3 x) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -3/2 x) (.f64 -1 x)))))))
(.f64 (-.f64 (.f64 3 a) (+.f64 (.f64 -1/2 a) (+.f64 (.f64 3/2 a) a))) x)
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3 a) (+.f64 (.f64 -1/2 a) (+.f64 (.f64 3/2 a) a))) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3 a) (+.f64 (.f64 -1/2 a) (+.f64 (.f64 3/2 a) a))) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3 a) (+.f64 (.f64 -1/2 a) (+.f64 (.f64 3/2 a) 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 (-.f64 (.f64 3 a) (+.f64 (.f64 -1/2 a) (+.f64 a (.f64 3/2 a)))) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3 a) (+.f64 (.f64 -1/2 a) (+.f64 a (.f64 3/2 a)))) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 (-.f64 (.f64 3 a) (+.f64 (.f64 -1/2 a) (+.f64 a (.f64 3/2 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 -1 (.f64 (-.f64 (.f64 -3 a) (+.f64 (.f64 1/2 a) (+.f64 (.f64 -3/2 a) (.f64 -1 a)))) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 (-.f64 (.f64 -3 a) (+.f64 (.f64 1/2 a) (+.f64 (.f64 -3/2 a) (.f64 -1 a)))) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2))) (.f64 -1 (.f64 (-.f64 (.f64 -3 a) (+.f64 (.f64 1/2 a) (+.f64 (.f64 -3/2 a) (.f64 -1 a)))) x)))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(.f64 3 (.f64 a x))
(+.f64 (.f64 a x) (+.f64 (.f64 a x) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)))))
(+.f64 (.f64 a x) (-.f64 (.f64 a x) (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)))))
(+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a (+.f64 x x)) (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) 2))
(+.f64 (.f64 a (.f64 x 3)) (-.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 a x)))
(+.f64 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) 0)
(+.f64 (.f64 a (.f64 x 3/2)) (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (*.f64 a x) 1/2)))
(+.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 1/2)) (.f64 a (*.f64 x 3/2)))
(+.f64 0 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))))
(+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))))
(+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 a (+.f64 x x)))
(+.f64 (.f64 a (neg.f64 x)) (+.f64 (.f64 a (.f64 x 3)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))))
(+.f64 (.f64 (.f64 a x) 1/2) (+.f64 (.f64 a (.f64 x 3/2)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)))))
(+.f64 (+.f64 (.f64 a (.f64 x 3)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (.f64 a (neg.f64 x)))
(+.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 a x)) (.f64 a (.f64 x 3)))
(+.f64 (+.f64 (.f64 a (.f64 x 3/2)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (.f64 (*.f64 a x) 1/2))
(+.f64 (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4)) (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4)))
(+.f64 (-.f64 (.f64 a x) (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (*.f64 a x))
(+.f64 (-.f64 (.f64 a (.f64 x 3)) (/.f64 (-.f64 (.f64 a (+.f64 x x)) (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) 4)) (/.f64 (+.f64 (.f64 a x) (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)))) -2))
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(-.f64 (+.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 4)) (-.f64 (-.f64 (.f64 a (+.f64 x x)) (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) -3/2)))
(-.f64 (+.f64 (.f64 a (.f64 x 3)) (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (-.f64 (-.f64 (.f64 a (neg.f64 x)) (pow.f64 (.f64 a x) 2)) (.f64 (*.f64 a x) -5/2)))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 a x) -3) 4) (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))))) (/.f64 (.f64 (.f64 a x) -3) -4))
(-.f64 (+.f64 (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4)) (.f64 (.f64 a x) -3/2)) (neg.f64 (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4))))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 a x) -3) 4) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (-.f64 (.f64 x (.f64 a -2)) (/.f64 (.f64 (*.f64 a x) -3) 4)))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 a x) -3) 4) (.f64 a (.f64 x 3))) (-.f64 (+.f64 (.f64 a x) (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (/.f64 (.f64 (.f64 a x) -3) 4)))
(-.f64 (+.f64 (+.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (/.f64 (.f64 (.f64 a x) 1/2) 2)) (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))))) (-.f64 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (+.f64 (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4) (/.f64 (.f64 (.f64 a x) 1/2) 2))))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 a x) -3) 4) (+.f64 (.f64 a (.f64 x 3)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))))) (-.f64 (.f64 a x) (/.f64 (.f64 (.f64 a x) -3) 4)))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 a x) -3) 4) (.f64 a (+.f64 x x))) (-.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (/.f64 (.f64 (.f64 a x) -3) 4)))
(-.f64 (-.f64 (.f64 a (.f64 x 3/2)) (+.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 5/2))) (.f64 (*.f64 a x) -3/2))
(-.f64 (-.f64 (.f64 (.f64 a x) 4) (.f64 a (.f64 x 3/2))) (+.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 a (+.f64 x x))))
(-.f64 (-.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) (.f64 a (.f64 x 3/2))) (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 x (*.f64 a -2))))
(-.f64 (-.f64 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 7/2))) (+.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 x (.f64 a -2))))
(-.f64 (-.f64 (.f64 (.f64 a x) -3/2) (-.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 7/2))) (.f64 a (*.f64 x 3/2)))
(-.f64 (-.f64 (.f64 a (.f64 x 3)) (+.f64 (.f64 a (.f64 x 3)) (+.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 5/2)))) (.f64 (*.f64 a x) -3))
(-.f64 (-.f64 (.f64 a (.f64 x 3/2)) (.f64 (.f64 a x) 5/2)) (-.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 a (*.f64 x 3/2))))
(-.f64 (.f64 -3 (/.f64 (.f64 (.f64 a x) -3) 4)) (-.f64 (+.f64 (.f64 a x) (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (/.f64 (.f64 (*.f64 a x) -3) 4)))
(-.f64 (-.f64 (.f64 (.f64 a x) 6) (.f64 2 (+.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 5/2)))) (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (*.f64 a x) 1/2)))
(-.f64 (-.f64 (.f64 a (.f64 x 3/2)) (+.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 a (.f64 x 3/2)))) (-.f64 (.f64 a x) (.f64 a (.f64 x 3/2))))
(-.f64 (-.f64 (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4)) (.f64 a (.f64 x 3/2))) (neg.f64 (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) 4))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 a x) -3) 4) (+.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 x (.f64 a -2)))) (/.f64 (.f64 (*.f64 a x) -3) -4))
(-.f64 (-.f64 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (+.f64 (.f64 a (.f64 x 3/2)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))))) (-.f64 (.f64 a (+.f64 x x)) (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))))))
(-.f64 (-.f64 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (.f64 (.f64 a x) 7/2)) (-.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2))))))
(-.f64 (-.f64 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (+.f64 (.f64 a (.f64 x 3/2)) (+.f64 (.f64 a (.f64 x 3)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))))) (-.f64 (.f64 a (neg.f64 x)) (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))))))
(-.f64 (-.f64 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (.f64 (.f64 a x) 9/2)) (-.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 a x)) (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))))))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 a x) -3) 4) (.f64 a (neg.f64 x))) (-.f64 (+.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) -3)) (/.f64 (.f64 (.f64 a x) -3) 4)))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 a x) -3) 4) (.f64 (.f64 a x) 6)) (-.f64 (+.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 4)) (/.f64 (.f64 (*.f64 a x) -3) 4)))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 a x) -3) 4) (.f64 (.f64 a x) 4)) (-.f64 (+.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 a (+.f64 x x))) (/.f64 (.f64 (.f64 a x) -3) 4)))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 a x) -3) 4) (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 x (.f64 a -2))) (/.f64 (.f64 (*.f64 a x) -3) 4)))
(-.f64 (+.f64 (.f64 (.f64 a x) 1/2) (.f64 (.f64 a x) 1/2)) (+.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (*.f64 a x) 1/2)))
(.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 1/2)) 1)
(.f64 1 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 1/2)))
(.f64 -1 (-.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 1/2)))
(.f64 (.f64 2 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (*.f64 a x) 1/2))) 1/2)
(.f64 1/2 (.f64 2 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (*.f64 a x) 1/2))))
(.f64 (-.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 1/2)) -1)
(.f64 (.f64 2 (.f64 2 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 1/2)))) 1/4)
(.f64 1/4 (.f64 2 (.f64 2 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 1/2)))))
(/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (*.f64 a x) 1/2)) 1)
(/.f64 (.f64 2 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 1/2))) 2)
(/.f64 (-.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (*.f64 a x) 1/2)) -1)
(/.f64 (.f64 2 (.f64 2 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (*.f64 a x) 1/2)))) 4)
(/.f64 (+.f64 (-.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 1/2)) (-.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 1/2))) -2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))))) (neg.f64 (.f64 (.f64 a x) 6))) 4)
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 a x) 6)) (.f64 2 (.f64 2 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))))))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 1/2)))) (.f64 2 (.f64 2 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 1/2))))) 8)
(/.f64 (-.f64 (.f64 (.f64 a x) 6) (.f64 2 (+.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 5/2)))) 2)
(/.f64 (-.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))))) (.f64 (.f64 a x) 6)) 4)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))))) (neg.f64 (.f64 (.f64 a x) 6))) (+.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))))) (neg.f64 (.f64 (.f64 a x) 6)))) 8)
(/.f64 (+.f64 (+.f64 (neg.f64 (.f64 (.f64 a x) 6)) (.f64 2 (.f64 2 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))))))) (+.f64 (neg.f64 (.f64 (.f64 a x) 6)) (.f64 2 (.f64 2 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))))))) 8)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 2 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 1/2)))) (.f64 2 (.f64 2 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 1/2))))) (+.f64 (.f64 2 (.f64 2 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 1/2)))) (.f64 2 (.f64 2 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 1/2)))))) 16)
(/.f64 (+.f64 (-.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))))) (.f64 (.f64 a x) 6)) (-.f64 (.f64 2 (.f64 2 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))))) (.f64 (.f64 a x) 6))) 8)
(/.f64 (+.f64 (-.f64 (.f64 (.f64 a x) 6) (.f64 2 (+.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 5/2)))) (-.f64 (.f64 (.f64 a x) 6) (.f64 2 (+.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 5/2))))) 4)
(pow.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (*.f64 a x) 1/2)) 1)
(neg.f64 (-.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (*.f64 a x) 1/2)))
(neg.f64 (-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 7/2)) (.f64 2 (+.f64 (.f64 a (+.f64 x x)) (.f64 1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))))))
(neg.f64 (+.f64 (-.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 (.f64 a x) 7/2)) (.f64 a (*.f64 x 3))))
(+.f64 (.f64 a (.f64 x 3)) 0)
(+.f64 (.f64 a (.f64 x 3/2)) (.f64 a (.f64 x 3/2)))
(+.f64 0 (.f64 a (.f64 x 3)))
(+.f64 (.f64 a (/.f64 (.f64 x 3/2) 2)) (+.f64 (.f64 a (/.f64 (.f64 x 3/2) 2)) (.f64 a (.f64 x 3/2))))
(+.f64 (.f64 a (/.f64 (.f64 x 3/2) 2)) (.f64 3 (.f64 a (/.f64 (*.f64 x 3/2) 2))))
(+.f64 (.f64 3 (.f64 a (/.f64 (.f64 x 3/2) 2))) (.f64 a (/.f64 (*.f64 x 3/2) 2)))
(+.f64 (.f64 -3 (/.f64 (.f64 (.f64 a x) -3) 4)) (/.f64 (.f64 (*.f64 a x) -3) -4))
(-.f64 (.f64 a (.f64 x 3)) 0)
(-.f64 (.f64 a (.f64 x 3/2)) (.f64 (.f64 a x) -3/2))
(-.f64 0 (.f64 (.f64 a x) -3))
(-.f64 (.f64 (.f64 a x) 6) (.f64 a (.f64 x 3)))
(-.f64 (.f64 a (/.f64 (.f64 x 3/2) 2)) (.f64 -3 (.f64 a (/.f64 (*.f64 x 3/2) 2))))
(-.f64 (.f64 (.f64 a x) 4) (*.f64 a x))
(-.f64 (+.f64 (.f64 a (/.f64 (.f64 x 3/2) 2)) (.f64 a (.f64 x 3/2))) (/.f64 (.f64 (.f64 a x) -3) 4))
(-.f64 (.f64 3 (.f64 a (/.f64 (.f64 x 3/2) 2))) (/.f64 (.f64 (*.f64 a x) -3) 4))
(-.f64 (+.f64 (-.f64 -1 (.f64 (.f64 a x) -3/2)) (-.f64 -1 (.f64 (.f64 a x) -3/2))) -2)
(/.f64 (.f64 a (.f64 x 3)) 1)
(/.f64 (.f64 a (.f64 x 3/2)) 1/2)
(/.f64 (.f64 (.f64 a x) -3/2) -1/2)
(/.f64 (.f64 (.f64 a x) -3) -1)
(/.f64 (.f64 (.f64 a x) 6) 2)
(/.f64 (.f64 2 (.f64 (*.f64 a x) 6)) 4)
(/.f64 (neg.f64 (.f64 (.f64 a x) 6)) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 a x) 6)) (.f64 2 (.f64 (.f64 a x) 6))) 8)
(/.f64 (.f64 a (+.f64 (.f64 x 6) (*.f64 x 6))) 4)
(/.f64 (.f64 (.f64 x 3/2) (+.f64 (.f64 2 (+.f64 a a)) (.f64 2 (+.f64 a a)))) 4)
(/.f64 (.f64 (+.f64 (.f64 x 6) (.f64 x 6)) (.f64 2 (+.f64 a a))) 16)
(/.f64 (.f64 (.f64 x 6) (+.f64 (.f64 2 (+.f64 a a)) (.f64 2 (+.f64 a a)))) 16)
(/.f64 (.f64 (.f64 2 (+.f64 a a)) (+.f64 (.f64 x 6) (.f64 x 6))) 16)
(/.f64 (.f64 (+.f64 (.f64 a 3/2) (.f64 a 3/2)) (.f64 2 (+.f64 x x))) 4)
(/.f64 (.f64 (+.f64 (.f64 2 (+.f64 a a)) (.f64 2 (+.f64 a a))) (.f64 x 6)) 16)
(/.f64 (.f64 (.f64 2 (+.f64 x x)) (+.f64 (.f64 a 3/2) (.f64 a 3/2))) 4)
(/.f64 (.f64 (+.f64 (.f64 2 (+.f64 x x)) (.f64 2 (+.f64 x x))) (.f64 a 3/2)) 4)
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (.f64 a x) 6)) (.f64 2 (.f64 (.f64 a x) 6))) (+.f64 (.f64 2 (.f64 (.f64 a x) 6)) (.f64 2 (.f64 (.f64 a x) 6)))) 16)
(pow.f64 (.f64 a (.f64 x 3)) 1)
(neg.f64 (.f64 (.f64 a x) -3))

Outputs
(.f64 a (-.f64 (.f64 3 x) (+.f64 (*.f64 -1/2 x) x)))
(.f64 a (-.f64 (.f64 3 x) (+.f64 x (*.f64 x -1/2))))
(.f64 a (+.f64 (neg.f64 x) (.f64 x 7/2)))
(.f64 x (.f64 a 5/2))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) x))) (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 7/2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 x (.f64 a 5/2)))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) x))) (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 7/2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 x (.f64 a 5/2)))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) x))) (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 7/2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 x (.f64 a 5/2)))
(.f64 1/2 (.f64 (pow.f64 a 2) (pow.f64 x 2)))
(.f64 1/2 (pow.f64 (.f64 a x) 2))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) x))) (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 x (.f64 x -1/2)))) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 7/2))) (.f64 1/2 (pow.f64 (.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 x (.f64 a 5/2)))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) x))) (.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 x 2))))
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(.f64 a (.f64 3 x))
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(/.f64 (.f64 (+.f64 (.f64 x 6) (.f64 x 6)) (.f64 2 (+.f64 a a))) 16)
(.f64 a (.f64 3 x))
(.f64 3 (.f64 a x))
(/.f64 (.f64 (.f64 x 6) (+.f64 (.f64 2 (+.f64 a a)) (.f64 2 (+.f64 a a)))) 16)
(.f64 a (.f64 3 x))
(.f64 3 (.f64 a x))
(/.f64 (.f64 (.f64 2 (+.f64 a a)) (+.f64 (.f64 x 6) (.f64 x 6))) 16)
(.f64 a (.f64 3 x))
(.f64 3 (.f64 a x))
(/.f64 (.f64 (+.f64 (.f64 a 3/2) (.f64 a 3/2)) (.f64 2 (+.f64 x x))) 4)
(.f64 a (.f64 3 x))
(.f64 3 (.f64 a x))
(/.f64 (.f64 (+.f64 (.f64 2 (+.f64 a a)) (.f64 2 (+.f64 a a))) (.f64 x 6)) 16)
(.f64 a (.f64 3 x))
(.f64 3 (.f64 a x))
(/.f64 (.f64 (.f64 2 (+.f64 x x)) (+.f64 (.f64 a 3/2) (.f64 a 3/2))) 4)
(.f64 a (.f64 3 x))
(.f64 3 (.f64 a x))
(/.f64 (.f64 (+.f64 (.f64 2 (+.f64 x x)) (.f64 2 (+.f64 x x))) (.f64 a 3/2)) 4)
(.f64 a (.f64 3 x))
(.f64 3 (.f64 a x))
(/.f64 (+.f64 (+.f64 (.f64 2 (.f64 (.f64 a x) 6)) (.f64 2 (.f64 (.f64 a x) 6))) (+.f64 (.f64 2 (.f64 (.f64 a x) 6)) (.f64 2 (.f64 (.f64 a x) 6)))) 16)
(.f64 a (.f64 3 x))
(.f64 3 (.f64 a x))
(pow.f64 (.f64 a (.f64 x 3)) 1)
(.f64 a (.f64 3 x))
(.f64 3 (.f64 a x))
(neg.f64 (.f64 (.f64 a x) -3))
(.f64 a (.f64 3 x))
(.f64 3 (.f64 a x))

eval1.5s (1.6%)

Compiler: Compiled 17936 to 9835 computations (45.2% saved)

prune991.0ms (1.1%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	653	17	670
Fresh	0	0	0
Picked	1	0	1
Done	3	5	8
Total	657	22	679

Error

0.0b

Counts

679 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	19.8b	(-.f64 (.f64 a (.f64 x -3)) (-.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 x (*.f64 a 7/2))))
✓	31.6b	(-.f64 (exp.f64 (*.f64 a x)) 1)
✓	50.9b	(-.f64 1 1)
	19.7b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 a x) 4) (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (.f64 x (.f64 a -2))) (neg.f64 (.f64 a (*.f64 x 3/2))))
✓	18.7b	(+.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))
	19.1b	(+.f64 (.f64 x (.f64 a 5/2)) (neg.f64 (.f64 a (.f64 x 3/2))))
	19.1b	(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) x))) (neg.f64 (.f64 a (*.f64 x 3/2))))
	19.1b	(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 7/2))) (neg.f64 (.f64 a (.f64 x 3/2))))
✓	19.2b	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
	19.7b	(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 x (neg.f64 (+.f64 (.f64 a 5/2) (*.f64 a -7/2)))))
	19.0b	(.f64 (-.f64 (.f64 3 a) (+.f64 (.f64 -1/2 a) (+.f64 (.f64 3/2 a) a))) x)
	39.7b	(*.f64 (+.f64 (-.f64 1 (neg.f64 a)) -1) x)
	39.7b	(.f64 (+.f64 (-.f64 1 a) (-.f64 -1 (.f64 a -2))) x)
	39.7b	(*.f64 (+.f64 (-.f64 -1 (neg.f64 a)) 1) x)
	19.0b	(.f64 (+.f64 (.f64 a 3) (*.f64 a -2)) x)
	19.1b	(.f64 (+.f64 (.f64 a 5/2) (*.f64 a -3/2)) x)
	19.0b	(.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 3/2 x) x))))
	18.9b	(.f64 a (-.f64 (.f64 3 x) (+.f64 x x)))
	39.7b	(.f64 a (+.f64 (-.f64 1 (.f64 x -2)) (-.f64 -1 x)))
	39.7b	(*.f64 a (+.f64 (-.f64 -1 (neg.f64 x)) 1))
	19.0b	(.f64 a (+.f64 (.f64 x 5/2) (*.f64 x -3/2)))
✓	18.6b	(*.f64 a x)

Compiler

Compiled 314 to 221 computations (29.6% saved)

regimes864.0ms (0.9%)

Counts

26 → 2

Calls

Call 1

Inputs
(*.f64 a x)
(-.f64 1 1)
(*.f64 a (+.f64 (-.f64 -1 (neg.f64 x)) 1))
(*.f64 (+.f64 (-.f64 -1 (neg.f64 a)) 1) x)
(*.f64 (+.f64 (-.f64 1 (neg.f64 a)) -1) x)
(.f64 a (+.f64 (.f64 x 5/2) (*.f64 x -3/2)))
(.f64 a (-.f64 (.f64 3 x) (+.f64 x x)))
(.f64 (+.f64 (.f64 a 5/2) (*.f64 a -3/2)) x)
(.f64 (+.f64 (.f64 a 3) (*.f64 a -2)) x)
(.f64 a (+.f64 (-.f64 1 (.f64 x -2)) (-.f64 -1 x)))
(.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x)))
(.f64 (+.f64 (-.f64 1 a) (-.f64 -1 (.f64 a -2))) x)
(.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x)
(+.f64 (.f64 x (.f64 a 5/2)) (neg.f64 (.f64 a (.f64 x 3/2))))
(.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 3/2 x) x))))
(.f64 (-.f64 (.f64 3 a) (+.f64 (.f64 -1/2 a) (+.f64 (.f64 3/2 a) a))) x)
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 7/2))) (neg.f64 (.f64 a (.f64 x 3/2))))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) x))) (neg.f64 (.f64 a (*.f64 x 3/2))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 x (neg.f64 (+.f64 (.f64 a 5/2) (*.f64 a -7/2)))))
(-.f64 (.f64 (.f64 a x) 3/2) (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -2)))
(-.f64 (.f64 a (.f64 x -3)) (-.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 x (*.f64 a 7/2))))
(+.f64 (-.f64 (.f64 (.f64 a x) 3) (+.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2))) (neg.f64 (.f64 a (.f64 x 3/2))))
(+.f64 (+.f64 (-.f64 (.f64 (.f64 a x) 4) (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (.f64 x (.f64 a -2))) (neg.f64 (.f64 a (*.f64 x 3/2))))
(+.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) (.f64 1/6 (pow.f64 (*.f64 a x) 3)))

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

Calls

5 calls:

352.0ms	x
326.0ms	a
85.0ms	(*.f64 a x)
34.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
28.0ms	(exp.f64 (*.f64 a x))

Results

Error	Segments	Branch
11.4b	4	`a`
11.5b	4	`x`
0.5b	2	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
0.5b	2	`(exp.f64 (*.f64 a x))`
0.5b	2	`(*.f64 a x)`

Compiler

Compiled 368 to 225 computations (38.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.3959475569342117	-1.3594595271335974e-18

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes799.0ms (0.9%)

Counts

25 → 2

Calls

Call 1

Inputs
(*.f64 a x)
(-.f64 1 1)
(*.f64 a (+.f64 (-.f64 -1 (neg.f64 x)) 1))
(*.f64 (+.f64 (-.f64 -1 (neg.f64 a)) 1) x)
(*.f64 (+.f64 (-.f64 1 (neg.f64 a)) -1) x)
(.f64 a (+.f64 (.f64 x 5/2) (*.f64 x -3/2)))
(.f64 a (-.f64 (.f64 3 x) (+.f64 x x)))
(.f64 (+.f64 (.f64 a 5/2) (*.f64 a -3/2)) x)
(.f64 (+.f64 (.f64 a 3) (*.f64 a -2)) x)
(.f64 a (+.f64 (-.f64 1 (.f64 x -2)) (-.f64 -1 x)))
(.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x)))
(.f64 (+.f64 (-.f64 1 a) (-.f64 -1 (.f64 a -2))) x)
(.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x)
(+.f64 (.f64 x (.f64 a 5/2)) (neg.f64 (.f64 a (.f64 x 3/2))))
(.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 3/2 x) x))))
(.f64 (-.f64 (.f64 3 a) (+.f64 (.f64 -1/2 a) (+.f64 (.f64 3/2 a) a))) x)
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 7/2))) (neg.f64 (.f64 a (.f64 x 3/2))))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) x))) (neg.f64 (.f64 a (*.f64 x 3/2))))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
(+.f64 (.f64 1/2 (pow.f64 (.f64 a x) 2)) (.f64 x (neg.f64 (+.f64 (.f64 a 5/2) (*.f64 a -7/2)))))
(-.f64 (.f64 (.f64 a x) 3/2) (+.f64 (.f64 a x) (/.f64 (+.f64 (.f64 a x) (pow.f64 (*.f64 a x) 2)) -2)))
(-.f64 (.f64 a (.f64 x -3)) (-.f64 (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2))) (.f64 x (*.f64 a 7/2))))
(+.f64 (-.f64 (.f64 (.f64 a x) 3) (+.f64 (.f64 a x) (.f64 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)) -1/2))) (neg.f64 (.f64 a (.f64 x 3/2))))
(+.f64 (+.f64 (-.f64 (.f64 (.f64 a x) 4) (.f64 -1/2 (+.f64 (.f64 a x) (pow.f64 (.f64 a x) 2)))) (.f64 x (.f64 a -2))) (neg.f64 (.f64 a (*.f64 x 3/2))))

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

Calls

5 calls:

320.0ms	x
290.0ms	a
114.0ms	(*.f64 a x)
22.0ms	(exp.f64 (*.f64 a x))
8.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Results

Error	Segments	Branch
11.5b	4	`a`
11.5b	4	`x`
0.6b	2	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
0.6b	2	`(exp.f64 (*.f64 a x))`
0.6b	2	`(*.f64 a x)`

Compiler

Compiled 349 to 215 computations (38.4% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.3959475569342117	-1.3594595271335974e-18

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes575.0ms (0.6%)

Counts

19 → 2

Calls

Call 1

Inputs
(*.f64 a x)
(-.f64 1 1)
(*.f64 a (+.f64 (-.f64 -1 (neg.f64 x)) 1))
(*.f64 (+.f64 (-.f64 -1 (neg.f64 a)) 1) x)
(*.f64 (+.f64 (-.f64 1 (neg.f64 a)) -1) x)
(.f64 a (+.f64 (.f64 x 5/2) (*.f64 x -3/2)))
(.f64 a (-.f64 (.f64 3 x) (+.f64 x x)))
(.f64 (+.f64 (.f64 a 5/2) (*.f64 a -3/2)) x)
(.f64 (+.f64 (.f64 a 3) (*.f64 a -2)) x)
(.f64 a (+.f64 (-.f64 1 (.f64 x -2)) (-.f64 -1 x)))
(.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x)))
(.f64 (+.f64 (-.f64 1 a) (-.f64 -1 (.f64 a -2))) x)
(.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x)
(+.f64 (.f64 x (.f64 a 5/2)) (neg.f64 (.f64 a (.f64 x 3/2))))
(.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 3/2 x) x))))
(.f64 (-.f64 (.f64 3 a) (+.f64 (.f64 -1/2 a) (+.f64 (.f64 3/2 a) a))) x)
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 7/2))) (neg.f64 (.f64 a (.f64 x 3/2))))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) x))) (neg.f64 (.f64 a (*.f64 x 3/2))))
(-.f64 (exp.f64 (*.f64 a x)) 1)

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

Calls

5 calls:

235.0ms	a
194.0ms	x
95.0ms	(*.f64 a x)
23.0ms	(exp.f64 (*.f64 a x))
8.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

Results

Error	Segments	Branch
11.5b	4	`a`
11.5b	4	`x`
0.9b	2	`(-.f64 (exp.f64 (*.f64 a x)) 1)`
0.9b	2	`(exp.f64 (*.f64 a x))`
0.9b	2	`(*.f64 a x)`

Compiler

Compiled 218 to 145 computations (33.5% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.3959475569342117	-1.3594595271335974e-18

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes153.0ms (0.2%)

Accuracy

Total -32.4b remaining (-174.2%)

Threshold costs -32.4b (-174.2%)

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 a x)
(-.f64 1 1)
(*.f64 a (+.f64 (-.f64 -1 (neg.f64 x)) 1))
(*.f64 (+.f64 (-.f64 -1 (neg.f64 a)) 1) x)
(*.f64 (+.f64 (-.f64 1 (neg.f64 a)) -1) x)
(.f64 a (+.f64 (.f64 x 5/2) (*.f64 x -3/2)))
(.f64 a (-.f64 (.f64 3 x) (+.f64 x x)))
(.f64 (+.f64 (.f64 a 5/2) (*.f64 a -3/2)) x)
(.f64 (+.f64 (.f64 a 3) (*.f64 a -2)) x)
(.f64 a (+.f64 (-.f64 1 (.f64 x -2)) (-.f64 -1 x)))
(.f64 a (-.f64 (.f64 3/2 x) (+.f64 (*.f64 -1/2 x) x)))
(.f64 (+.f64 (-.f64 1 a) (-.f64 -1 (.f64 a -2))) x)
(.f64 (-.f64 (.f64 3/2 a) (+.f64 (*.f64 -1/2 a) a)) x)
(+.f64 (.f64 x (.f64 a 5/2)) (neg.f64 (.f64 a (.f64 x 3/2))))
(.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 3/2 x) x))))
(.f64 (-.f64 (.f64 3 a) (+.f64 (.f64 -1/2 a) (+.f64 (.f64 3/2 a) a))) x)
(+.f64 (.f64 a (+.f64 (neg.f64 x) (.f64 x 7/2))) (neg.f64 (.f64 a (.f64 x 3/2))))
(+.f64 (.f64 a (-.f64 (.f64 3 x) (+.f64 (.f64 -1/2 x) x))) (neg.f64 (.f64 a (*.f64 x 3/2))))

Outputs
(*.f64 a x)

Calls

3 calls:

60.0ms	a
57.0ms	(*.f64 a x)
28.0ms	x

Results

Error	Segments	Branch
18.6b	1	`a`
18.6b	1	`x`
18.6b	1	`(*.f64 a x)`

Compiler

Compiled 198 to 132 computations (33.3% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	196

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 a x) -3602879701896397/18014398509481984) (-.f64 (exp.f64 (.f64 a x)) 1) (+.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(if (<=.f64 (.f64 a x) -3602879701896397/18014398509481984) (-.f64 (exp.f64 (.f64 a x)) 1) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(if (<=.f64 (.f64 a x) -3602879701896397/18014398509481984) (-.f64 (exp.f64 (.f64 a x)) 1) (*.f64 a x))
(*.f64 a x)

Outputs
(if (<=.f64 (.f64 a x) -3602879701896397/18014398509481984) (-.f64 (exp.f64 (.f64 a x)) 1) (+.f64 (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (.f64 a x) 2))) (.f64 1/6 (pow.f64 (*.f64 a x) 3))))
(if (<=.f64 (.f64 a x) -3602879701896397/18014398509481984) (-.f64 (exp.f64 (.f64 a x)) 1) (+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2))))
(if (<=.f64 (.f64 a x) -3602879701896397/18014398509481984) (-.f64 (exp.f64 (.f64 a x)) 1) (*.f64 a x))
(*.f64 a x)

Compiler

Compiled 80 to 45 computations (43.8% saved)

soundness508.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1468×	`rational_best-simplify-75`
1434×	`rational_best-simplify-76`
1130×	`rational_best-simplify-3`
740×	`rational_best-simplify-56`
728×	`rational_best-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	165	1795
1	380	1747
2	1014	1747
3	3756	1747

Stop Event

1×	node limit

Compiler

Compiled 157 to 106 computations (32.5% saved)

end202.0ms (0.2%)

Remove: (sort a x)
Compiler: Compiled 140 to 72 computations (48.6% saved)

Details

analyze120.0ms (0.1%)

sample1.2min (79.2%)

preprocess44.0ms (0%)

simplify82.0ms (0.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize21.0ms (0%)

series3.0ms (0%)

rewrite307.0ms (0.3%)

simplify492.0ms (0.5%)

eval487.0ms (0.5%)

prune119.0ms (0.1%)

localize5.0ms (0%)

localize41.0ms (0%)

series174.0ms (0.2%)

rewrite571.0ms (0.6%)

simplify514.0ms (0.5%)

localize162.0ms (0.2%)

series31.0ms (0%)

rewrite319.0ms (0.3%)

simplify470.0ms (0.5%)

localize16.0ms (0%)

eval1.3s (1.4%)

prune570.0ms (0.6%)

localize74.0ms (0.1%)

series21.0ms (0%)

rewrite660.0ms (0.7%)

simplify458.0ms (0.5%)

eval430.0ms (0.5%)

prune203.0ms (0.2%)

localize83.0ms (0.1%)

series2.0ms (0%)

rewrite669.0ms (0.7%)

simplify957.0ms (1%)

localize93.0ms (0.1%)

series13.0ms (0%)

rewrite907.0ms (1%)

simplify1.1s (1.2%)

localize408.0ms (0.4%)

series19.0ms (0%)

rewrite819.0ms (0.9%)

simplify1.1s (1.1%)

eval1.5s (1.6%)

prune991.0ms (1.1%)

regimes864.0ms (0.9%)

bsearch1.0ms (0%)

regimes799.0ms (0.9%)

bsearch1.0ms (0%)

regimes575.0ms (0.6%)

bsearch1.0ms (0%)

regimes153.0ms (0.2%)

simplify6.0ms (0%)

soundness508.0ms (0.5%)

end202.0ms (0.2%)

Profiling