Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
91.7%	68.7%	6.2%	0%	25%	0%	0%	6
95.8%	71.8%	3.1%	0%	25%	0%	0%	7
97.9%	73.4%	1.6%	0%	25%	0%	0%	8
99%	74.2%	0.8%	0%	25%	0%	0%	9
99.5%	74.6%	0.4%	0%	25%	0%	0%	10
99.7%	74.8%	0.2%	0%	25%	0%	0%	11
99.9%	74.9%	0.1%	0%	25%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample1.5s (61.1%)

Results

1.5s	8256×	body	256	valid
0.0ms	2×	body	256	infinite

Bogosity

preprocess76.0ms (3%)

Algorithm

2×	egg-herbie

Rules

876×	`rational_best-simplify-73`
840×	`rational_best-simplify-55`
750×	`rational_best-simplify-57`
724×	`rational_best-simplify-75`
680×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	16	13
2	27	13
3	56	13
4	132	13
5	323	13
6	1595	13
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify131.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

876×	`rational_best-simplify-73`
840×	`rational_best-simplify-55`
750×	`rational_best-simplify-57`
724×	`rational_best-simplify-75`
680×	`rational_best-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	16	13
2	27	13
3	56	13
4	132	13
5	323	13
6	1595	13

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (*.f64 x x) x)
▶	0.0b	(*.f64 x (-.f64 x 1))

Compiler

Compiled 12 to 7 computations (41.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 x 1))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite103.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

968×	`rational_best-simplify-63`
886×	`rational_best-simplify-65`
778×	`rational_best-simplify-68`
766×	`rational_best-simplify-73`
654×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	46	13
2	138	13
3	512	13
4	2049	13

Stop Event

1×	node limit

Counts

1 → 115

Calls

Call 1

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

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

Outputs

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

simplify156.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

1236×	`rational_best-simplify-1`
1182×	`rational_best-simplify-53`
1100×	`rational_best-simplify-61`
1012×	`rational_best-simplify-63`
938×	`rational_best-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	2967
1	934	2861
2	3423	2259

Stop Event

1×	node limit

Counts

127 → 154

Calls

Call 1

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

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

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 3 computations (70% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite81.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`rational_best-simplify-55`
990×	`rational_best-simplify-47`
972×	`rational_best-simplify-49`
924×	`rational_best-simplify-57`
706×	`rational_best-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	34	13
2	102	13
3	390	13
4	1553	13

Stop Event

1×	node limit

Counts

1 → 110

Calls

Call 1

Inputs
(-.f64 (*.f64 x x) x)

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

Outputs

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

simplify134.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

932×	`rational_best-simplify-47`
794×	`rational_best-simplify-53`
608×	`rational_best-simplify-1`
586×	`rational_best-simplify-3`
574×	`rational_best-simplify-62`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	1814
1	628	1768
2	1689	1762

Stop Event

1×	node limit

Counts

122 → 128

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (.f64 x x) (+.f64 (neg.f64 x) (.f64 0 (+.f64 x -1))))
(+.f64 (.f64 x x) (+.f64 (neg.f64 x) (.f64 0 (-.f64 1 x))))
(+.f64 (-.f64 (*.f64 x x) x) 0)
(+.f64 (-.f64 (.f64 x x) x) (.f64 0 (+.f64 x -1)))
(+.f64 (-.f64 (.f64 x x) x) (.f64 0 (-.f64 1 x)))
(+.f64 (-.f64 (.f64 x x) x) (+.f64 (.f64 0 (+.f64 x -1)) (*.f64 0 (+.f64 x -1))))
(+.f64 (-.f64 (.f64 x x) x) (+.f64 (.f64 0 (-.f64 1 x)) (*.f64 0 (-.f64 1 x))))
(+.f64 (-.f64 (.f64 x x) x) (+.f64 (.f64 0 (+.f64 x -1)) 0))
(+.f64 (-.f64 (.f64 x x) x) (+.f64 (.f64 0 (-.f64 1 x)) 0))
(+.f64 (-.f64 (.f64 x x) x) (+.f64 (.f64 0 (-.f64 1 x)) (*.f64 0 (+.f64 x -1))))
(+.f64 (-.f64 (.f64 x x) x) (+.f64 (.f64 0 (+.f64 x -1)) (*.f64 0 (-.f64 1 x))))
(+.f64 0 (-.f64 (*.f64 x x) x))
(+.f64 (.f64 (.f64 x x) 2) (-.f64 (neg.f64 x) (*.f64 x x)))
(+.f64 (neg.f64 x) (*.f64 x x))
(+.f64 (neg.f64 x) (+.f64 (.f64 x x) (.f64 0 (+.f64 x -1))))
(+.f64 (neg.f64 x) (+.f64 (.f64 x x) (.f64 0 (-.f64 1 x))))
(+.f64 (.f64 x (neg.f64 x)) (-.f64 (.f64 (*.f64 x x) 2) x))
(+.f64 (.f64 x -2) (+.f64 x (.f64 x x)))
(+.f64 (.f64 x (/.f64 (-.f64 1 x) -2)) (.f64 x (/.f64 (-.f64 1 x) -2)))
(+.f64 (.f64 x (/.f64 (-.f64 1 x) -2)) (+.f64 (.f64 x (/.f64 (-.f64 1 x) -2)) (*.f64 0 (+.f64 x -1))))
(+.f64 (.f64 x (/.f64 (-.f64 1 x) -2)) (+.f64 (.f64 x (/.f64 (-.f64 1 x) -2)) (*.f64 0 (-.f64 1 x))))
(+.f64 (.f64 x (.f64 x 1/2)) (+.f64 (neg.f64 x) (.f64 x (.f64 x 1/2))))
(+.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) x))
(+.f64 (.f64 x (.f64 x 1/2)) (+.f64 (+.f64 (neg.f64 x) (.f64 x (.f64 x 1/2))) 0))
(+.f64 (.f64 x (.f64 x 1/2)) (+.f64 (+.f64 (neg.f64 x) (.f64 x (.f64 x 1/2))) (*.f64 0 (+.f64 x -1))))
(+.f64 (.f64 x (.f64 x 1/2)) (+.f64 (+.f64 (neg.f64 x) (.f64 x (.f64 x 1/2))) (*.f64 0 (-.f64 1 x))))
(+.f64 (fabs.f64 (.f64 x (.f64 x 1/2))) (+.f64 (fabs.f64 (.f64 x (.f64 x 1/2))) (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) (.f64 x (.f64 x 1/2))) (.f64 x (.f64 x 1/2)))
(+.f64 (+.f64 (neg.f64 x) (.f64 x (.f64 x 1/2))) (+.f64 (.f64 x (.f64 x 1/2)) (*.f64 0 (+.f64 x -1))))
(+.f64 (+.f64 (neg.f64 x) (.f64 x (.f64 x 1/2))) (+.f64 (.f64 x (.f64 x 1/2)) (*.f64 0 (-.f64 1 x))))
(+.f64 (+.f64 x (.f64 x x)) (.f64 x -2))
(+.f64 (+.f64 x (.f64 x x)) (+.f64 (.f64 x -2) (*.f64 0 (+.f64 x -1))))
(+.f64 (+.f64 x (.f64 x x)) (+.f64 (.f64 x -2) (*.f64 0 (-.f64 1 x))))
(+.f64 (-.f64 (.f64 x x) (.f64 x 1/2)) (*.f64 x -1/2))
(+.f64 (.f64 x -1/2) (-.f64 (.f64 x x) (*.f64 x 1/2)))
(+.f64 (.f64 x -1/2) (.f64 (+.f64 x (.f64 (.f64 x x) -2)) -1/2))
(+.f64 (.f64 x -1/2) (+.f64 (.f64 x (.f64 x 1/2)) (.f64 x (/.f64 (-.f64 1 x) -2))))
(+.f64 (.f64 x -1/2) (+.f64 (.f64 x -1/2) (*.f64 x x)))
(+.f64 (.f64 x -1/2) (+.f64 (-.f64 (.f64 x x) (*.f64 x 1/2)) 0))
(+.f64 (.f64 x -1/2) (+.f64 (-.f64 (.f64 x x) (.f64 x 1/2)) (.f64 0 (+.f64 x -1))))
(+.f64 (.f64 x -1/2) (+.f64 (-.f64 (.f64 x x) (.f64 x 1/2)) (.f64 0 (-.f64 1 x))))
(+.f64 (.f64 0 (+.f64 x -1)) (-.f64 (.f64 x x) x))
(+.f64 (.f64 0 (-.f64 1 x)) (-.f64 (.f64 x x) x))
(+.f64 (/.f64 (.f64 x (-.f64 1 x)) -4) (+.f64 (/.f64 (.f64 x (-.f64 1 x)) -4) (*.f64 x (/.f64 (-.f64 1 x) -2))))
(+.f64 (.f64 (+.f64 x (.f64 (.f64 x x) -2)) -1/2) (.f64 x -1/2))
(+.f64 (.f64 (+.f64 x (.f64 (.f64 x x) -2)) -1/2) (+.f64 (.f64 x -1/2) 0))
(+.f64 (.f64 (+.f64 x (.f64 (.f64 x x) -2)) -1/2) (+.f64 (.f64 x -1/2) (*.f64 0 (+.f64 x -1))))
(+.f64 (.f64 (+.f64 x (.f64 (.f64 x x) -2)) -1/2) (+.f64 (.f64 x -1/2) (*.f64 0 (-.f64 1 x))))
(+.f64 (/.f64 (.f64 x x) 4) (+.f64 (/.f64 (.f64 x x) 4) (+.f64 (neg.f64 x) (.f64 x (.f64 x 1/2)))))
(+.f64 (+.f64 x (.f64 x (/.f64 (-.f64 1 x) -2))) (-.f64 (.f64 x (/.f64 (-.f64 1 x) -2)) x))
(+.f64 (-.f64 (.f64 x (.f64 x 1/2)) x) (.f64 x (.f64 x 1/2)))
(+.f64 (-.f64 (.f64 x (.f64 x 1/2)) x) (+.f64 (+.f64 x (.f64 x (.f64 x 1/2))) (neg.f64 x)))
(+.f64 (-.f64 (.f64 x (.f64 x 1/2)) x) (+.f64 (.f64 x (.f64 x 1/2)) (*.f64 0 (+.f64 x -1))))
(+.f64 (-.f64 (.f64 x (.f64 x 1/2)) x) (+.f64 (.f64 x (.f64 x 1/2)) (*.f64 0 (-.f64 1 x))))
(+.f64 (-.f64 (.f64 x (/.f64 (-.f64 1 x) -2)) x) (+.f64 x (.f64 x (/.f64 (-.f64 1 x) -2))))
(+.f64 (-.f64 (.f64 x (/.f64 (-.f64 1 x) -2)) x) (+.f64 (+.f64 x (.f64 x (/.f64 (-.f64 1 x) -2))) 0))
(+.f64 (-.f64 (.f64 x (/.f64 (-.f64 1 x) -2)) x) (+.f64 (+.f64 x (.f64 x (/.f64 (-.f64 1 x) -2))) (*.f64 0 (+.f64 x -1))))
(+.f64 (-.f64 (.f64 x (/.f64 (-.f64 1 x) -2)) x) (+.f64 (+.f64 x (.f64 x (/.f64 (-.f64 1 x) -2))) (*.f64 0 (-.f64 1 x))))
(+.f64 (-.f64 (neg.f64 x) (.f64 x x)) (.f64 (*.f64 x x) 2))
(+.f64 (-.f64 (neg.f64 x) (.f64 x x)) (+.f64 (.f64 (.f64 x x) 2) (.f64 0 (+.f64 x -1))))
(+.f64 (-.f64 (neg.f64 x) (.f64 x x)) (+.f64 (.f64 (.f64 x x) 2) (.f64 0 (-.f64 1 x))))
(*.f64 x (+.f64 x -1))
(.f64 x (.f64 -1 (-.f64 1 x)))
(.f64 (-.f64 (.f64 x x) x) 1)
(.f64 1 (-.f64 (.f64 x x) x))
(.f64 2 (.f64 x (/.f64 (-.f64 1 x) -2)))
(*.f64 (+.f64 x x) (/.f64 (-.f64 1 x) -2))
(.f64 (.f64 (+.f64 x x) (+.f64 x -1)) 1/2)
(.f64 (.f64 x (-.f64 1 x)) -1)
(.f64 -1 (.f64 x (-.f64 1 x)))
(*.f64 (neg.f64 x) (-.f64 1 x))
(.f64 (neg.f64 x) (.f64 -1 (+.f64 x -1)))
(*.f64 (+.f64 x -1) x)
(.f64 -2 (.f64 x (/.f64 (-.f64 1 x) 2)))
(.f64 (.f64 (-.f64 (*.f64 x x) x) 4) 1/4)
(.f64 (.f64 2 (*.f64 x (-.f64 1 x))) -1/2)
(*.f64 (-.f64 1 x) (neg.f64 x))
(.f64 (.f64 x 1/2) (*.f64 (+.f64 x -1) 2))
(.f64 (.f64 x 1/2) (*.f64 2 (+.f64 x -1)))
(.f64 (.f64 x (/.f64 (-.f64 1 x) -2)) 2)
(.f64 (+.f64 (+.f64 x -1) (+.f64 x -1)) (.f64 x 1/2))
(.f64 1/2 (.f64 (+.f64 x x) (+.f64 x -1)))
(*.f64 (/.f64 (-.f64 1 x) -2) (+.f64 x x))
(.f64 (/.f64 (-.f64 1 x) 2) (.f64 (neg.f64 x) 2))
(.f64 (.f64 x (/.f64 (-.f64 1 x) 2)) -2)
(.f64 (-.f64 x (+.f64 (-.f64 1 x) 1)) (.f64 x 1/2))
(.f64 (+.f64 (-.f64 1 x) (-.f64 1 x)) (.f64 x -1/2))
(.f64 (-.f64 (.f64 x 1/2) (fabs.f64 (.f64 x (.f64 x 1/2)))) -2)
(/.f64 (-.f64 (*.f64 x x) x) 1)
(/.f64 (*.f64 (+.f64 x x) (+.f64 x -1)) 2)
(/.f64 (*.f64 x (-.f64 1 x)) -1)
(/.f64 (.f64 (-.f64 (.f64 x x) x) 4) 4)
(/.f64 (.f64 2 (.f64 x (-.f64 1 x))) -2)
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x x) x) 4) (.f64 (-.f64 (.f64 x x) x) 4)) 8)
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x x) x) 4)) -4)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (.f64 x x) x) 4)) (neg.f64 (.f64 (-.f64 (.f64 x x) x) 4))) -8)
(/.f64 (+.f64 (+.f64 (.f64 (-.f64 (.f64 x x) x) 4) (.f64 (-.f64 (.f64 x x) x) 4)) (+.f64 (.f64 (-.f64 (.f64 x x) x) 4) (.f64 (-.f64 (.f64 x x) x) 4))) 16)
(/.f64 (.f64 (.f64 2 (*.f64 x (-.f64 1 x))) 2) -4)
(/.f64 (.f64 (neg.f64 (.f64 (-.f64 (*.f64 x x) x) 4)) -1) 4)
(/.f64 (.f64 (neg.f64 (.f64 x 4)) (+.f64 x -1)) -4)
(/.f64 (.f64 (.f64 x 4) (-.f64 1 x)) -4)
(/.f64 (.f64 (neg.f64 (.f64 x 4)) (-.f64 1 x)) 4)
(/.f64 (.f64 (.f64 (-.f64 (*.f64 x x) x) 4) 2) 8)
(/.f64 (.f64 (+.f64 (.f64 x 4) (*.f64 x 4)) (+.f64 x -1)) 8)
(/.f64 (.f64 (.f64 x (/.f64 (-.f64 1 x) 2)) 2) -1)
(/.f64 (-.f64 (-.f64 x (+.f64 (.f64 x x) (.f64 x -2))) (+.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) 2) x))) -4)
(/.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 x x) x) 4)) (+.f64 (.f64 (+.f64 x x) (+.f64 x -1)) (.f64 2 (*.f64 x (-.f64 1 x))))) -4)
(pow.f64 (-.f64 (*.f64 x x) x) 1)
(neg.f64 (*.f64 x (-.f64 1 x)))

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

eval138.0ms (5.5%)

Compiler: Compiled 3766 to 2310 computations (38.7% saved)

prune36.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	281	1	282
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	281	3	284

Error

Counts

284 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) x)
✓	0.0b	(*.f64 x (-.f64 x 1))
▶	20.6b	(neg.f64 x)

Compiler

Compiled 15 to 9 computations (40% saved)

localize2.0ms (0.1%)

Compiler: Compiled 4 to 2 computations (50% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) x)
✓	0.0b	(*.f64 x (-.f64 x 1))
✓	20.6b	(neg.f64 x)

Compiler

Compiled 15 to 9 computations (40% saved)

regimes10.0ms (0.4%)

Accuracy

Total -20.6b remaining (-526942.1%)

Threshold costs -20.6b (-526942.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x (-.f64 x 1))
(-.f64 (*.f64 x x) x)

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

Calls

2 calls:

5.0ms	x
3.0ms	(*.f64 x (-.f64 x 1))

Results

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

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (-.f64 x 1))
(neg.f64 x)

Outputs
(*.f64 x (-.f64 x 1))
(neg.f64 x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

soundness0.0ms (0%)

end95.0ms (3.8%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

Details

analyze3.0ms (0.1%)

sample1.5s (61.1%)

preprocess76.0ms (3%)

simplify131.0ms (5.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite103.0ms (4.1%)

simplify156.0ms (6.2%)

localize4.0ms (0.2%)

series1.0ms (0%)

rewrite81.0ms (3.2%)

simplify134.0ms (5.3%)

eval138.0ms (5.5%)

prune36.0ms (1.4%)

localize2.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes10.0ms (0.4%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end95.0ms (3.8%)

Profiling