Details

analyze3.0ms (0.2%)

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
80%	50%	12.5%	0%	37.5%	0%	0%	5
88.9%	50%	6.2%	0%	43.7%	0%	0%	6
94.1%	50%	3.1%	0%	46.9%	0%	0%	7
97%	50%	1.6%	0%	48.4%	0%	0%	8
98.5%	50%	0.8%	0%	49.2%	0%	0%	9
99.2%	50%	0.4%	0%	49.6%	0%	0%	10
99.6%	50.2%	0.2%	0%	49.6%	0%	0%	11
99.8%	50.2%	0.1%	0%	49.7%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample847.0ms (42%)

Results

831.0ms	8256×	body	256	valid
1.0ms	11×	body	256	infinite

Bogosity

preprocess51.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

982×	`rational.json-simplify-4`
894×	`rational.json-simplify-44`
852×	`rational.json-simplify-24`
812×	`rational.json-simplify-5`
614×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	19	17
2	48	17
3	153	17
4	732	17
5	5459	17
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify51.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

982×	`rational.json-simplify-4`
894×	`rational.json-simplify-44`
852×	`rational.json-simplify-24`
812×	`rational.json-simplify-5`
614×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	19	17
2	48	17
3	153	17
4	732	17
5	5459	17

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 20 to 12 computations (40% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`rational.json-1`
1490×	`rational.json-2`
1488×	`rational.json-3`
1486×	`rational.json-4`
1124×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	38	13
2	121	13
3	540	13
4	4722	13

Stop Event

1×	node limit

Counts

1 → 142

Calls

Call 1

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

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

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

simplify90.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1148×	`rational.json-simplify-37`
1076×	`rational.json-simplify-21`
1010×	`rational.json-simplify-24`
908×	`rational.json-simplify-23`
572×	`rational.json-simplify-13`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	255	4646
1	753	4200
2	3584	3946

Stop Event

1×	node limit

Counts

154 → 197

Calls

Call 1

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

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

eval317.0ms (15.7%)

Compiler: Compiled 3259 to 1859 computations (43% saved)

prune29.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	195	2	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	195	3	198

Error

Counts

198 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(exp.f64 (-.f64 (*.f64 x x) 1))
▶	0.0b	(exp.f64 (+.f64 (-.f64 -1 (.f64 x x)) (.f64 (*.f64 x x) 2)))
▶	0.5b	(exp.f64 -1)

Compiler

Compiled 23 to 16 computations (30.4% saved)

localize3.0ms (0.1%)

Compiler: Compiled 4 to 4 computations (0% saved)

localize28.0ms (1.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 -1 (.f64 x x)) (.f64 (*.f64 x x) 2))
✓	0.0b	(.f64 (.f64 x x) 2)

Compiler

Compiled 40 to 19 computations (52.5% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`rational.json-simplify-4`
1186×	`rational.json-simplify-6`
998×	`rational.json-simplify-3`
952×	`rational.json-simplify-5`
788×	`rational.json-simplify-12`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	55	44
2	165	26
3	827	26

Stop Event

1×	node limit

Counts

2 → 246

Calls

Call 1

Inputs
(.f64 (.f64 x x) 2)
(+.f64 (-.f64 -1 (.f64 x x)) (.f64 (*.f64 x x) 2))

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

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

simplify98.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1044×	`rational.json-simplify-5`
984×	`rational.json-simplify-6`
920×	`rational.json-simplify-3`
862×	`rational.json-simplify-4`
804×	`rational.json-simplify-12`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	493	6362
1	1907	5862

Stop Event

1×	node limit

Counts

270 → 349

Calls

Call 1

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

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

eval148.0ms (7.3%)

Compiler: Compiled 5985 to 3300 computations (44.9% saved)

prune56.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	349	0	349
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	349	3	352

Error

Counts

352 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(exp.f64 (-.f64 (*.f64 x x) 1))
✓	0.0b	(exp.f64 (+.f64 (-.f64 -1 (.f64 x x)) (.f64 (*.f64 x x) 2)))
✓	0.5b	(exp.f64 -1)

Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes34.0ms (1.7%)

Accuracy

Total -0.5b remaining (-13127.4%)

Threshold costs -0.5b (-13127.4%)

Counts

4 → 1

Calls

Call 1

Inputs
(exp.f64 -1)
(exp.f64 (-.f64 (*.f64 x x) 1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 (-.f64 -1 (.f64 x x)) (.f64 (*.f64 x x) 2)))

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

Calls

5 calls:

23.0ms	(*.f64 x x)
4.0ms	x
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

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

Compiler

Compiled 55 to 35 computations (36.4% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

soundness112.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

982×	`rational.json-simplify-4`
894×	`rational.json-simplify-44`
852×	`rational.json-simplify-24`
812×	`rational.json-simplify-5`
614×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	19	17
2	48	17
3	153	17
4	732	17
5	5459	17

Stop Event

1×	node limit

Compiler

Compiled 30 to 19 computations (36.7% saved)

end16.0ms (0.8%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

Details

analyze3.0ms (0.2%)

sample847.0ms (42%)

preprocess51.0ms (2.5%)

simplify51.0ms (2.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.3%)

series1.0ms (0%)

rewrite64.0ms (3.2%)

simplify90.0ms (4.5%)

eval317.0ms (15.7%)

prune29.0ms (1.5%)

localize3.0ms (0.1%)

localize28.0ms (1.4%)

series1.0ms (0.1%)

rewrite57.0ms (2.8%)

simplify98.0ms (4.8%)

eval148.0ms (7.3%)

prune56.0ms (2.8%)

regimes34.0ms (1.7%)

simplify4.0ms (0.2%)

soundness112.0ms (5.5%)

end16.0ms (0.8%)

Profiling