Details

analyze231.0ms (0.6%)

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
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
50%	50%	50%	0%	0%	0%	0%	6
50%	50%	50%	0%	0%	0%	0%	7
50%	50%	50%	0%	0%	0%	0%	8
50%	50%	50%	0%	0%	0%	0%	9
50%	50%	50%	0%	0%	0%	0%	10
50%	50%	50%	0%	0%	0%	0%	11
50%	50%	50%	0%	0%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample30.0s (77%)

Results

12.5s	1605×	body	8192	exit
9.9s	4082×	body	1024	valid
4.4s	1963×	body	256	valid
1.4s	2046×	body	512	valid
1.1s	1680×	body	1024	invalid
522.0ms	165×	body	2048	valid
192.0ms	787×	body	512	invalid
116.0ms	819×	body	256	invalid
1.0ms	1×	body	2048	invalid

Bogosity

preprocess112.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1950×	`rational.json-simplify-35`
900×	`rational.json-simplify-1`
878×	`rational.json-simplify-2`
768×	`rational.json-simplify-41`
680×	`rational.json-simplify-59`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	20	33
2	31	33
3	44	33
4	78	33
5	139	33
6	329	33
7	819	33
8	2004	33
9	3352	33
10	4988	33
11	7276	33
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 12 to 9 computations (25% saved)

simplify114.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1950×	`rational.json-simplify-35`
900×	`rational.json-simplify-1`
878×	`rational.json-simplify-2`
768×	`rational.json-simplify-41`
680×	`rational.json-simplify-59`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	20	33
2	31	33
3	44	33
4	78	33
5	139	33
6	329	33
7	819	33
8	2004	33
9	3352	33
10	4988	33
11	7276	33

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

eval0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

57.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.8b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (cos.f64 x))
✓	0.8b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	4.6b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series2.0ms (0%)

Counts

3 → 16

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
0.0ms	x	@	inf	(sqrt.f64 (cos.f64 x))
0.0ms	x	@	0	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
0.0ms	x	@	0	(sqrt.f64 (cos.f64 x))

rewrite307.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1570×	`rational.json-1`
1570×	`rational.json-2`
1570×	`rational.json-4`
1570×	`rational.json-3`
1564×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	75	57
2	170	57
3	392	57
4	867	57
5	2539	57
6	6156	57

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(sqrt.f64 (cos.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8)) (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1/2 (exp.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1/2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 2 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (exp.f64 x)) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (.f64 (exp.f64 x) 4) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (.f64 (exp.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (+.f64 (neg.f64 (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))) (neg.f64 (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (/.f64 (.f64 (exp.f64 x) 4) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (neg.f64 x)) 4) (+.f64 (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)) (.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (.f64 2 (/.f64 (.f64 (exp.f64 x) 4) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (.f64 (exp.f64 x) 8) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (exp.f64 x) 4) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)) (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (exp.f64 x) 4) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))) (.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8) (.f64 (exp.f64 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (.f64 (exp.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (/.f64 (exp.f64 (+.f64 x x)) (.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 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Outputs

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(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2)) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))) (+.f64 (neg.f64 (*.f64 (exp.f64 x) -2)) (neg.f64 (*.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8) (exp.f64 x)) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8) (exp.f64 x))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 8)) (*.f64 2 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 (neg.f64 x))) (-.f64 0 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 (exp.f64 x))) (-.f64 0 (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))) (-.f64 0 (*.f64 (neg.f64 (exp.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))) (*.f64 (exp.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))) (*.f64 (exp.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)) (-.f64 0 (*.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (cos.f64 x)) 1/2) (*.f64 (sqrt.f64 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cos.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sqrt.f64 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cos.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cos.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (cos.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (cos.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (cos.f64 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (cos.f64 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (cos.f64 x)) 8)) (*.f64 2 (*.f64 (sqrt.f64 (cos.f64 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 x)) 1)))))

simplify462.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1862×	`rational.json-simplify-35`
1094×	`rational.json-simplify-41`
1056×	`rational.json-simplify-2`
842×	`rational.json-simplify-50`
604×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	261	3731
1	712	3397
2	2720	3349
3	5512	3337

Stop Event

1×	node limit

Counts

131 → 146

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6)))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 0)
(+.f64 0 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 -1 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 0)
(-.f64 0 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(*.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 -1 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) 1/2)
(*.f64 4 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) 1/4)
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) -1)
(.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) 2)
(.f64 1/4 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) 4)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) 2)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) 4)
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) -1)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) -2)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8) 8)
(/.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8)) (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8))) 32)
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 0)
(+.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1/2 (exp.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1/2 (exp.f64 x))))
(-.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 0)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)
(/.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 -1 (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 -1 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 2 (/.f64 (exp.f64 x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 2 (exp.f64 x))) 2)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (.f64 (exp.f64 x) 2))
(/.f64 -2 (neg.f64 (/.f64 (exp.f64 x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 -2 (+.f64 (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (/.f64 2 (exp.f64 x)) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 4 (/.f64 (*.f64 (exp.f64 x) 4) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 4) 4)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (.f64 (exp.f64 x) 4))
(/.f64 -4 (+.f64 (neg.f64 (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))) (neg.f64 (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)))))
(/.f64 -4 (-.f64 0 (/.f64 (*.f64 (exp.f64 x) 4) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) 4) (+.f64 (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)) (.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))))
(/.f64 8 (.f64 2 (/.f64 (.f64 (exp.f64 x) 4) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 8 (/.f64 (*.f64 (exp.f64 x) 8) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (/.f64 (.f64 (exp.f64 x) 4) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)) (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))))
(/.f64 (/.f64 (.f64 (exp.f64 x) 4) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))) (.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)))))
(/.f64 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 8) 8)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (.f64 (exp.f64 x) -2))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8) (.f64 (exp.f64 x) 8))
(/.f64 1/2 (*.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/2))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (.f64 (exp.f64 x) 1/2))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (/.f64 (exp.f64 (+.f64 x x)) (.f64 (exp.f64 x) 2)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1/2 (exp.f64 x))) 1/2)
(/.f64 -1/2 (-.f64 0 (*.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/2)))
(/.f64 16 (+.f64 (.f64 2 (/.f64 (.f64 (exp.f64 x) 4) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (.f64 2 (/.f64 (.f64 (exp.f64 x) 4) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 16 (+.f64 (/.f64 (.f64 (exp.f64 x) 8) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (.f64 (exp.f64 x) 8) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8)) (.f64 2 (.f64 (exp.f64 x) 8)))
(/.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2)) (*.f64 (neg.f64 (exp.f64 x)) 4))
(/.f64 (.f64 2 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 8)) 16)
(/.f64 (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8) (exp.f64 x)) 8)
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) -1)
(/.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8)) (-.f64 0 (.f64 (exp.f64 x) 8)))
(/.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4)) (neg.f64 (.f64 (exp.f64 x) 4)))
(/.f64 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 0 (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2)) (.f64 (exp.f64 x) 2))
(/.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2)) (neg.f64 (.f64 (exp.f64 x) -2)))
(/.f64 (+.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2)) (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))) (.f64 2 (.f64 (neg.f64 (exp.f64 x)) 4)))
(/.f64 (+.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4)) (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))) (+.f64 (neg.f64 (.f64 (exp.f64 x) 4)) (neg.f64 (.f64 (exp.f64 x) 4))))
(/.f64 (+.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2)) (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))) (*.f64 (exp.f64 x) 4))
(/.f64 (+.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2)) (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))) (+.f64 (neg.f64 (.f64 (exp.f64 x) -2)) (neg.f64 (.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))) -2)
(/.f64 (+.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8) (exp.f64 x)) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8) (exp.f64 x))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 8)) (.f64 2 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 8))) 32)
(/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (-.f64 0 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (/.f64 2 (exp.f64 x))) (-.f64 0 (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))) (-.f64 0 (*.f64 (neg.f64 (exp.f64 x)) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))) (.f64 (exp.f64 x) 4))
(/.f64 (neg.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))) (.f64 (exp.f64 x) -2))
(/.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)) (-.f64 0 (.f64 (exp.f64 x) 1/2)))
(pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(+.f64 (sqrt.f64 (cos.f64 x)) 0)
(+.f64 0 (sqrt.f64 (cos.f64 x)))
(+.f64 (.f64 (sqrt.f64 (cos.f64 x)) 1/2) (.f64 (sqrt.f64 (cos.f64 x)) 1/2))
(-.f64 (sqrt.f64 (cos.f64 x)) 0)
(*.f64 (sqrt.f64 (cos.f64 x)) 1)
(*.f64 1 (sqrt.f64 (cos.f64 x)))
(.f64 2 (.f64 (sqrt.f64 (cos.f64 x)) 1/2))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) 2) 1/2)
(*.f64 4 (/.f64 (sqrt.f64 (cos.f64 x)) 4))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) 4) 1/4)
(.f64 1/2 (.f64 (sqrt.f64 (cos.f64 x)) 2))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) 1/2) 2)
(.f64 1/4 (.f64 (sqrt.f64 (cos.f64 x)) 4))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 4) 4)
(/.f64 (sqrt.f64 (cos.f64 x)) 1)
(/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) 4) 4)
(/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (cos.f64 x)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (cos.f64 x)) 8)) (.f64 2 (.f64 (sqrt.f64 (cos.f64 x)) 8))) 32)
(pow.f64 (sqrt.f64 (cos.f64 x)) 1)

Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 1/2 (pow.f64 x 2))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (neg.f64 x) 1)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 1 x)))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (pow.f64 x 2) 1/2)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (neg.f64 x))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 1/2 (pow.f64 x 2))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1/4))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/4) (+.f64 (.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6)))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 0)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 0 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 -1 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 0)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(-.f64 0 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 -1 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) 1/2)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 4 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) 1/4)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) -1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) 2)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 1/4 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) 4)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) 2)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) 4)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) -1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) -2)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8) 8)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
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(/.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2)) (neg.f64 (.f64 (exp.f64 x) -2)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2)) (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))) (.f64 2 (.f64 (neg.f64 (exp.f64 x)) 4)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (+.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4)) (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))) (+.f64 (neg.f64 (.f64 (exp.f64 x) 4)) (neg.f64 (.f64 (exp.f64 x) 4))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (+.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2)) (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))) (*.f64 (exp.f64 x) 4))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (+.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2)) (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))) (+.f64 (neg.f64 (.f64 (exp.f64 x) -2)) (neg.f64 (.f64 (exp.f64 x) -2))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (+.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))) -2)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (+.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8) (exp.f64 x)) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8) (exp.f64 x))) 16)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 8)) (.f64 2 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 8))) 32)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (-.f64 0 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (neg.f64 (/.f64 2 (exp.f64 x))) (-.f64 0 (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (neg.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))) (-.f64 0 (*.f64 (neg.f64 (exp.f64 x)) 4)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))) (.f64 (exp.f64 x) 4))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (neg.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))) (.f64 (exp.f64 x) -2))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)) (-.f64 0 (.f64 (exp.f64 x) 1/2)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(+.f64 (sqrt.f64 (cos.f64 x)) 0)
(sqrt.f64 (cos.f64 x))
(+.f64 0 (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.f64 x))
(+.f64 (.f64 (sqrt.f64 (cos.f64 x)) 1/2) (.f64 (sqrt.f64 (cos.f64 x)) 1/2))
(sqrt.f64 (cos.f64 x))
(-.f64 (sqrt.f64 (cos.f64 x)) 0)
(sqrt.f64 (cos.f64 x))
(*.f64 (sqrt.f64 (cos.f64 x)) 1)
(sqrt.f64 (cos.f64 x))
(*.f64 1 (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.f64 x))
(.f64 2 (.f64 (sqrt.f64 (cos.f64 x)) 1/2))
(sqrt.f64 (cos.f64 x))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) 2) 1/2)
(sqrt.f64 (cos.f64 x))
(*.f64 4 (/.f64 (sqrt.f64 (cos.f64 x)) 4))
(sqrt.f64 (cos.f64 x))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) 4) 1/4)
(sqrt.f64 (cos.f64 x))
(.f64 1/2 (.f64 (sqrt.f64 (cos.f64 x)) 2))
(sqrt.f64 (cos.f64 x))
(.f64 (.f64 (sqrt.f64 (cos.f64 x)) 1/2) 2)
(sqrt.f64 (cos.f64 x))
(.f64 1/4 (.f64 (sqrt.f64 (cos.f64 x)) 4))
(sqrt.f64 (cos.f64 x))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 4) 4)
(sqrt.f64 (cos.f64 x))
(/.f64 (sqrt.f64 (cos.f64 x)) 1)
(sqrt.f64 (cos.f64 x))
(/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) 2) 2)
(sqrt.f64 (cos.f64 x))
(/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) 4) 4)
(sqrt.f64 (cos.f64 x))
(/.f64 (*.f64 (sqrt.f64 (cos.f64 x)) 8) 8)
(sqrt.f64 (cos.f64 x))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (cos.f64 x)) 8)) 16)
(sqrt.f64 (cos.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (cos.f64 x)) 8)) (.f64 2 (.f64 (sqrt.f64 (cos.f64 x)) 8))) 32)
(sqrt.f64 (cos.f64 x))
(pow.f64 (sqrt.f64 (cos.f64 x)) 1)
(sqrt.f64 (cos.f64 x))

eval27.0ms (0.1%)

Compiler: Compiled 2514 to 885 computations (64.8% saved)

prune24.0ms (0.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	139	7	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	7	147

Error

57.7b

Counts

147 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.2b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
	59.7b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))
▶	57.7b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	57.8b	(/.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
▶	57.8b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
▶	58.6b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
▶	58.1b	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))

Compiler

Compiled 190 to 116 computations (38.9% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (cos.f64 x))
✓	0.7b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
	4.6b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 24 to 6 computations (75% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
0.0ms	x	@	inf	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
0.0ms	x	@	-inf	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

rewrite127.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1338×	`rational.json-1`
1338×	`rational.json-2`
1338×	`rational.json-4`
1338×	`rational.json-3`
1330×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	61	29
2	159	29
3	406	29
4	991	29
5	3766	29

Stop Event

1×	node limit

Counts

1 → 80

Calls

Call 1

Inputs
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1/2 (exp.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1/2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 x) (/.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 1/2 (.f64 2 (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 1/2 (/.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (/.f64 1/2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1/2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 2 (exp.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (/.f64 (exp.f64 (neg.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (.f64 (exp.f64 (neg.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (.f64 (/.f64 1/2 (exp.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (neg.f64 x)) (/.f64 1 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 -1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 1 (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 2 (.f64 2 (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (exp.f64 x) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (/.f64 1 (.f64 2 (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))))) (#(struct:change #<rule 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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 2 (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (*.f64 (exp.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (exp.f64 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 (exp.f64 x)) 1/2) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -1) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (exp.f64 x)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (*.f64 (exp.f64 x) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 x) (*.f64 2 (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (exp.f64 x) 8)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (exp.f64 x) -2)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 (exp.f64 x) 2)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (*.f64 (exp.f64 x) 2)))))))

simplify108.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1342×	`rational.json-simplify-57`
1078×	`rational.json-simplify-2`
992×	`rational.json-simplify-50`
748×	`rational.json-simplify-41`
700×	`rational.json-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	183	2940
1	386	2794
2	943	2784
3	3401	2706
4	5822	2704

Stop Event

1×	node limit

Counts

84 → 100

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(+.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 0)
(+.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(+.f64 -1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1/2 (exp.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1/2 (exp.f64 x))))
(-.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 0)
(-.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(.f64 (exp.f64 x) (/.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 1/2 (*.f64 2 (exp.f64 (neg.f64 x)))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 1/2 (/.f64 2 (exp.f64 x))))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)
(*.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (/.f64 1/2 (exp.f64 x)))
(*.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(.f64 -1 (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (*.f64 (exp.f64 x) 2)))
(.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1/2 (exp.f64 x))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 2 (exp.f64 x))) 1/2)
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (/.f64 (exp.f64 (neg.f64 x)) 4))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (*.f64 (exp.f64 (neg.f64 x)) 1/4))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (*.f64 (/.f64 1/2 (exp.f64 x)) 1/2))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 -1 (exp.f64 x)))
(.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 1 (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 2 (.f64 2 (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))
(.f64 (.f64 (exp.f64 x) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (/.f64 1 (.f64 2 (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))
(.f64 (.f64 (exp.f64 x) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (/.f64 1/2 (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(.f64 4 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 x) 4)))
(*.f64 4 (/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 4))
(.f64 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 4) 1/4)
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8) (/.f64 1 (*.f64 (exp.f64 x) 8)))
(.f64 (/.f64 1/2 (exp.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))
(.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 2 (exp.f64 x))))
(.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (/.f64 -1/2 (exp.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (/.f64 1 (*.f64 (exp.f64 x) -2)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (/.f64 -1 (*.f64 (exp.f64 x) 2)))
(.f64 (.f64 2 (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) -1)
(.f64 (/.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(.f64 (/.f64 (.f64 (exp.f64 x) 1/2) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 2 (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1/2 (exp.f64 x))) 2)
(.f64 (/.f64 2 (exp.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 2 (exp.f64 (neg.f64 x))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (/.f64 2 (exp.f64 x)))
(.f64 1/4 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 4))
(.f64 (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (.f64 2 (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))
(.f64 (/.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (neg.f64 (exp.f64 x)) (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(.f64 (/.f64 (exp.f64 (neg.f64 x)) 4) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))
(*.f64 (/.f64 -1 (exp.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (exp.f64 -1) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (-.f64 1 x))))
(*.f64 (exp.f64 (-.f64 1 x)) (/.f64 (exp.f64 -1) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (-.f64 1 x))) (exp.f64 -1))
(.f64 (.f64 (exp.f64 (neg.f64 x)) 1/4) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))
(.f64 (.f64 1/2 (*.f64 2 (exp.f64 (neg.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (.f64 1/2 (/.f64 2 (exp.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 1 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 (neg.f64 x)))
(.f64 (/.f64 (exp.f64 x) (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (/.f64 1 (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (/.f64 (.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (/.f64 2 (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 (*.f64 (exp.f64 x) 1/2) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (/.f64 (neg.f64 (exp.f64 x)) (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (/.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (exp.f64 x))
(.f64 (/.f64 1 (.f64 2 (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (.f64 (exp.f64 x) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(.f64 (/.f64 2 (.f64 2 (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (*.f64 (exp.f64 x) 2)) -1)
(.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 x) 4)) 4)
(.f64 (.f64 (/.f64 1/2 (exp.f64 x)) 1/2) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))
(*.f64 (/.f64 (exp.f64 -1) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 (-.f64 1 x)))
(.f64 (/.f64 -1/2 (exp.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))
(.f64 (/.f64 1/2 (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (*.f64 (exp.f64 x) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(.f64 (/.f64 (exp.f64 x) (.f64 2 (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 4) 4)
(.f64 (/.f64 1 (.f64 (exp.f64 x) 8)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8))
(.f64 (/.f64 1 (.f64 (exp.f64 x) -2)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))
(.f64 (/.f64 -1 (.f64 (exp.f64 x) 2)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))
(pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(neg.f64 (/.f64 (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(neg.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (.f64 (exp.f64 x) 2)))

Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)) (.f64 (+.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)) (.f64 (pow.f64 x 2) -1))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (+.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (pow.f64 x 2)) (.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (.f64 (pow.f64 x 2) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x (.f64 (pow.f64 x 2) -1/2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)) (.f64 (+.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)) (.f64 (pow.f64 x 2) -1)))) (.f64 (+.f64 (.f64 -1 (+.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/6))) (.f64 (pow.f64 x 3) -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 -1 (+.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (pow.f64 x 2)) (.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (.f64 (+.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3)) (neg.f64 (pow.f64 x 3)))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (+.f64 (.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)) (pow.f64 x 3)) (+.f64 (.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1/2 (pow.f64 x 2)))))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (+.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/6) (pow.f64 x 3)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x (*.f64 (pow.f64 x 2) -1/2))))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (+.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/6) (pow.f64 x 3)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x (.f64 (pow.f64 x 2) -1/2))))))
(+.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 0)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(+.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(+.f64 -1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1/2 (exp.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1/2 (exp.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(-.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 0)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(-.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (exp.f64 x) (/.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 1/2 (*.f64 2 (exp.f64 (neg.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 1/2 (/.f64 2 (exp.f64 x))))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (/.f64 1/2 (exp.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 -1 (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (*.f64 (exp.f64 x) 2)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1/2 (exp.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 2 (exp.f64 x))) 1/2)
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 1/2 (/.f64 2 (exp.f64 x))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (/.f64 (exp.f64 (neg.f64 x)) 4))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (*.f64 (exp.f64 (neg.f64 x)) 1/4))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (*.f64 (/.f64 1/2 (exp.f64 x)) 1/2))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 -1 (exp.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 1 (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 2 (.f64 2 (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 (exp.f64 x) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (/.f64 1 (.f64 2 (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 (exp.f64 x) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (/.f64 1/2 (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 4 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 x) 4)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 4 (/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 4))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 4) 1/4)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8) (/.f64 1 (*.f64 (exp.f64 x) 8)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 8 (/.f64 (exp.f64 (neg.f64 x)) 8)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 8 (/.f64 1/8 (exp.f64 x))))
(.f64 (/.f64 1/2 (exp.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 2 (exp.f64 x))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 1/2 (/.f64 2 (exp.f64 x))))
(.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (/.f64 -1/2 (exp.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (/.f64 1 (*.f64 (exp.f64 x) -2)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (/.f64 -1 (*.f64 (exp.f64 x) 2)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 2 (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) -1)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 (.f64 (exp.f64 x) 1/2) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 2 (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1/2 (exp.f64 x))) 2)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 2 (exp.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 1/2 (/.f64 2 (exp.f64 x))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 2 (exp.f64 (neg.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (/.f64 2 (exp.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 1/2 (/.f64 2 (exp.f64 x))))
(.f64 1/4 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 4))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (.f64 2 (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (neg.f64 (exp.f64 x)) (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 (exp.f64 (neg.f64 x)) 4) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (/.f64 -1 (exp.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (exp.f64 -1) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (-.f64 1 x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (exp.f64 (-.f64 1 x)) (/.f64 (exp.f64 -1) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (exp.f64 (-.f64 1 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1 (exp.f64 -1))))
(*.f64 (exp.f64 (-.f64 1 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 1)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (-.f64 1 x))) (exp.f64 -1))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 (exp.f64 (neg.f64 x)) 1/4) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 1/2 (*.f64 2 (exp.f64 (neg.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 1/2 (/.f64 2 (exp.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 1/2 (/.f64 2 (exp.f64 x))))
(*.f64 (/.f64 1 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 (exp.f64 x) (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 1 (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 (.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 2 (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 (*.f64 (exp.f64 x) 1/2) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 (neg.f64 (exp.f64 x)) (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 1 (.f64 2 (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (.f64 (exp.f64 x) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 2 (.f64 2 (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (*.f64 (exp.f64 x) 2)) -1)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 x) 4)) 4)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (.f64 (/.f64 1/2 (exp.f64 x)) 1/2) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (/.f64 (exp.f64 -1) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 (-.f64 1 x)))
(*.f64 (exp.f64 (-.f64 1 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1 (exp.f64 -1))))
(*.f64 (exp.f64 (-.f64 1 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 1)))
(.f64 (/.f64 -1/2 (exp.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 1/2 (.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (*.f64 (exp.f64 x) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 (exp.f64 x) (.f64 2 (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 4) 4)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 1 (.f64 (exp.f64 x) 8)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 8 (/.f64 (exp.f64 (neg.f64 x)) 8)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 8 (/.f64 1/8 (exp.f64 x))))
(.f64 (/.f64 1 (.f64 (exp.f64 x) -2)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(.f64 (/.f64 -1 (.f64 (exp.f64 x) 2)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(neg.f64 (/.f64 (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (exp.f64 x) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(neg.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (.f64 (exp.f64 x) 2)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

localize13.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
✓	4.6b	(fmod.f64 (exp.f64 x) 1)

Compiler

Compiled 22 to 10 computations (54.5% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite86.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`rational.json-1`
1490×	`rational.json-2`
1490×	`rational.json-4`
1490×	`rational.json-3`
1484×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	77	32
2	177	32
3	372	32
4	808	32
5	2334	32
6	5779	32

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

Outputs

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

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

simplify125.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1566×	`rational.json-simplify-35`
996×	`rational.json-simplify-53`
960×	`rational.json-simplify-2`
924×	`rational.json-simplify-41`
664×	`rational.json-simplify-59`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	2522
1	605	2200
2	2330	2164
3	4571	2152

Stop Event

1×	node limit

Counts

108 → 119

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (cos.f64 x))
	4.6b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 15 to 5 computations (66.7% saved)

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
	0.0b	(sqrt.f64 (cos.f64 x))
	4.6b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 29 to 11 computations (62.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite124.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1900×	`rational.json-1`
1644×	`rational.json-simplify-35`
1138×	`rational.json-simplify-2`
1016×	`exponential.json-3`
1016×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	80	31
2	177	31
3	362	31
4	676	31
5	1505	31
6	3226	31
7	5428	31
8	7956	31

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (-.f64 1 x) 1/2)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (-.f64 1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (-.f64 1 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (-.f64 1 x) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (-.f64 1 x) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (-.f64 1 x) 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (-.f64 1 x) 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (-.f64 1 x) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (-.f64 1 x) 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 1)))))

simplify205.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1766×	`rational.json-simplify-2`
1454×	`rational.json-simplify-35`
1126×	`rational.json-simplify-53`
870×	`rational.json-simplify-1`
790×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	979
1	121	957
2	236	957
3	561	957
4	2007	957
5	3742	957
6	4283	957
7	4484	957
8	4660	957
9	4913	957
10	5479	957
11	7703	957

Stop Event

1×	node limit

Counts

25 → 23

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 0)
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (-.f64 1 x) 1/2)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (-.f64 1 x) 1/2)))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 0)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 1)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (-.f64 1 x) 2)) 2)
(/.f64 (.f64 (-.f64 1 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4)) 4)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (-.f64 1 x) 8)) 8)
(/.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (-.f64 1 x) 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (-.f64 1 x) 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (-.f64 1 x) 8))))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (-.f64 1 x) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (-.f64 1 x) 8)))))) 128)
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 1)

Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 0)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (-.f64 1 x) 1/2)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (-.f64 1 x) 1/2)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 0)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (-.f64 1 x) 2)) 2)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (.f64 (-.f64 1 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4)) 4)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (-.f64 1 x) 8)) 8)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (-.f64 1 x) 8))) 16)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (-.f64 1 x) 8)))) 32)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (-.f64 1 x) 8))))) 64)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (-.f64 1 x) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (-.f64 1 x) 8)))))) 128)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 2)
✓	0.8b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
✓	4.6b	(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))

Compiler

Compiled 51 to 34 computations (33.3% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(pow.f64 x 2)
0.0ms	x	@	-inf	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
0.0ms	x	@	0	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
0.0ms	x	@	inf	(pow.f64 x 2)
0.0ms	x	@	inf	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))

rewrite112.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`rational.json-1`
1416×	`rational.json-2`
1416×	`rational.json-4`
1416×	`rational.json-3`
1410×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	109	75
2	220	75
3	453	75
4	977	75
5	2735	75
6	6248	75

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
(pow.f64 x 2)

Outputs

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

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

simplify124.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1764×	`rational.json-simplify-35`
1070×	`rational.json-simplify-2`
762×	`rational.json-simplify-50`
742×	`rational.json-simplify-39`
616×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	264	5075
1	711	4991
2	2765	4923
3	5623	4911

Stop Event

1×	node limit

Counts

143 → 145

Calls

Call 1

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

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

eval192.0ms (0.5%)

Compiler: Compiled 9685 to 5094 computations (47.4% saved)

prune138.0ms (0.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	549	9	558
Fresh	0	2	2
Picked	1	0	1
Done	2	2	4
Total	552	13	565

Error

57.7b

Counts

565 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.2b	(fmod.f64 (exp.f64 x) 1)
	57.7b	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x))
	59.7b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))
▶	58.0b	(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
	57.8b	(/.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	58.1b	(/.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) 1)))
▶	57.7b	(+.f64 -1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))))
▶	58.6b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
	58.3b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))
✓	58.6b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
	58.8b	(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
✓	58.1b	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
▶	57.8b	(.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) -1) (exp.f64 (neg.f64 x)))

Compiler

Compiled 342 to 239 computations (30.1% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (cos.f64 x))
✓	0.8b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))
✓	2.4b	(+.f64 -1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))))
	4.6b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 56 to 15 computations (73.2% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+.f64 -1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))))
0.0ms	x	@	inf	(+.f64 -1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))))
0.0ms	x	@	0	(+.f64 -1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))))
0.0ms	x	@	0	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))
0.0ms	x	@	inf	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))

rewrite1.1s (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1430×	`rational.json-1`
1430×	`rational.json-2`
1430×	`rational.json-3`
1428×	`rational.json-4`
1414×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	78
1	105	78
2	246	72
3	600	70
4	1591	62
5	4611	62

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

Inputs
(+.f64 -1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))

Outputs

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

simplify128.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1746×	`rational.json-simplify-35`
1204×	`rational.json-simplify-2`
974×	`rational.json-simplify-46`
936×	`rational.json-simplify-41`
712×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	308	5900
1	930	5630
2	2587	5516
3	5578	5500

Stop Event

1×	node limit

Counts

172 → 180

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2)) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2)) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(*.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(-.f64 -1 (-.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(-.f64 1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
(-.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 0)
(-.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(-.f64 (+.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) -1)
(*.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(*.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (/.f64 2 (exp.f64 x)) 1/2))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) -1)
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (/.f64 1/2 (exp.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (neg.f64 (*.f64 (/.f64 -1 (exp.f64 x)) 1/2)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (*.f64 (/.f64 1/2 (exp.f64 x)) 1))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (*.f64 1/2 (exp.f64 (neg.f64 x))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (*.f64 (exp.f64 (neg.f64 x)) 1/2))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (neg.f64 (/.f64 -1/2 (exp.f64 x))))
(.f64 2 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 x) 2)))
(.f64 2 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (exp.f64 x) 2)) 1))
(.f64 2 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (exp.f64 (neg.f64 x))))
(.f64 2 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1/2))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 -2 (exp.f64 x))) -1/2)
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) -4)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (*.f64 1/4 (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 -1 (exp.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 -1 (exp.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 2 (exp.f64 x))) 1/2)
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (/.f64 -1/2 (exp.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2))
(.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 2 (exp.f64 x))))
(.f64 (/.f64 1/2 (exp.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))
(.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 x) 2)) 2)
(/.f64 -1 (/.f64 (neg.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) -1)
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (.f64 (exp.f64 x) 2))
(/.f64 2 (/.f64 (*.f64 (exp.f64 x) 2) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 -2 (*.f64 (exp.f64 x) (/.f64 -2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 4 (.f64 2 (/.f64 (.f64 (exp.f64 x) 2) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 4 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/4))
(/.f64 4 (-.f64 0 (.f64 2 (.f64 (exp.f64 x) (/.f64 -2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))
(/.f64 4 (-.f64 0 (/.f64 (*.f64 (exp.f64 x) -4) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 -2 (exp.f64 x))) -2)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (.f64 (exp.f64 x) 4))
(/.f64 (/.f64 -1 (exp.f64 x)) (/.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8) (.f64 2 (*.f64 (exp.f64 x) 4)))
(/.f64 -4 (.f64 2 (.f64 (exp.f64 x) (/.f64 -2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 -4 (/.f64 (*.f64 (exp.f64 x) -4) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 -4 (-.f64 0 (.f64 2 (/.f64 (.f64 (exp.f64 x) 2) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 -4 (-.f64 0 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/4)))
(/.f64 8 (.f64 2 (.f64 2 (/.f64 (*.f64 (exp.f64 x) 2) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(/.f64 8 (*.f64 2 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/4)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 2 (exp.f64 x))) 2)
(/.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (.f64 (exp.f64 x) -2))
(/.f64 (/.f64 -1/2 (exp.f64 x)) (/.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 1/2 (/.f64 (/.f64 (exp.f64 x) 2) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 1/2 (-.f64 0 (/.f64 (/.f64 (exp.f64 x) -2) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (.f64 2 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 4)) 8)
(/.f64 -8 (.f64 2 (/.f64 (.f64 (exp.f64 x) -4) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 4) 4)
(/.f64 (.f64 2 (exp.f64 (neg.f64 x))) (.f64 2 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 -1/2 (/.f64 (/.f64 (exp.f64 x) -2) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 -1/2 (-.f64 0 (/.f64 (/.f64 (exp.f64 x) 2) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (exp.f64 x)) 4)
(/.f64 (/.f64 2 (exp.f64 x)) (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (/.f64 2 (exp.f64 x)) (-.f64 0 (/.f64 -2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (/.f64 -2 (exp.f64 x)) (/.f64 -2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (/.f64 -2 (exp.f64 x)) (-.f64 0 (/.f64 2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -4) (.f64 (exp.f64 x) -4))
(/.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (exp.f64 x) 2)) 1/2)
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (/.f64 (exp.f64 x) 2))
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (exp.f64 x) -2)) -1/2)
(/.f64 (.f64 2 (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (exp.f64 x))) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 4))) 16)
(/.f64 (neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2)) (-.f64 0 (/.f64 (exp.f64 x) 2)))
(/.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (/.f64 (neg.f64 (exp.f64 x)) 2))
(/.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (/.f64 (exp.f64 x) -2))
(/.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) -2) (/.f64 (exp.f64 x) 2))
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (*.f64 (exp.f64 x) -4))) 1/4)
(/.f64 (/.f64 -1 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 -1 (/.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
(/.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/2) (*.f64 (exp.f64 x) -2))
(/.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 8)) (-.f64 0 (.f64 2 (*.f64 (exp.f64 x) 4))))
(/.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -4)) (.f64 (exp.f64 x) 4))
(/.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -4)) (neg.f64 (.f64 (exp.f64 x) -4)))
(/.f64 (neg.f64 (/.f64 -1/2 (exp.f64 x))) (-.f64 0 (/.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) (-.f64 0 (/.f64 (neg.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) (-.f64 0 (/.f64 (exp.f64 x) -2)))
(/.f64 (neg.f64 (/.f64 -1 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (exp.f64 x))
(/.f64 (neg.f64 (/.f64 -1 (/.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) -2)) (-.f64 0 (/.f64 (exp.f64 x) 2)))
(/.f64 (neg.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/2)) (*.f64 (exp.f64 x) 2))
(pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(+.f64 -1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(+.f64 1 (-.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(+.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) 0)
(+.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(+.f64 -2 (-.f64 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) -1))
(+.f64 (-.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
(+.f64 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) -1)
(+.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 x) -2)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 x) -2)))
(-.f64 -1 (+.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(-.f64 1 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(-.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) 0)
(-.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(-.f64 (-.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) -1)
(-.f64 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
(*.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(*.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 -1 (exp.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (exp.f64 (neg.f64 x))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (*.f64 2 (/.f64 -1 (exp.f64 x))) 1/2))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (/.f64 -2 (exp.f64 x)) 1/2))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) 1)
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) -1)
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (/.f64 -1/2 (exp.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (*.f64 (/.f64 -1 (exp.f64 x)) 1/2))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (.f64 (.f64 (/.f64 -1 (exp.f64 x)) 1/2) 1))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (*.f64 -1/2 (exp.f64 (neg.f64 x))))
(.f64 2 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 x) -2)))
(.f64 2 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (exp.f64 x) -2)) 1))
(.f64 2 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (/.f64 -1 (exp.f64 x))))
(.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 -1/2 (exp.f64 x))))
(.f64 2 (.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) 1/2))
(.f64 2 (.f64 (/.f64 -1/2 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 -2 (exp.f64 x))) 1/2)
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (/.f64 (exp.f64 (neg.f64 x)) -4))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) -4) 1))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (*.f64 1/4 (/.f64 -1 (exp.f64 x))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4) (*.f64 1/2 (/.f64 -1/2 (exp.f64 x))))
(*.f64 (/.f64 -1 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (/.f64 -1/2 (exp.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))
(.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 -2 (exp.f64 x))))
(.f64 1/2 (.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -2) (exp.f64 (neg.f64 x))))
(.f64 (.f64 (/.f64 -1 (exp.f64 x)) 1/2) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))
(.f64 (/.f64 (exp.f64 (neg.f64 x)) -4) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 4))
(.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 x) -2)) 2)
(pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) 1)
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))

Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))) (.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (.f64 (pow.f64 x 2) -1)))
(+.f64 (.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (+.f64 (.f64 (pow.f64 x 2) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1)) (.f64 (pow.f64 x 2) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) (.f64 (pow.f64 x 2) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(+.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))) (.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (.f64 (pow.f64 x 2) -1))) (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/6))) (.f64 (pow.f64 x 3) -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (+.f64 (.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (.f64 (pow.f64 x 2) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))) (.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)) (neg.f64 (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1)) (.f64 (pow.f64 x 2) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))) (.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/6) (neg.f64 (pow.f64 x 3))))
(+.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) (.f64 (pow.f64 x 2) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))) (.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/6) (neg.f64 (pow.f64 x 3))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(+.f64 (.f64 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2)) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)))
(+.f64 (.f64 (pow.f64 x 2) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1)))
(+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2)) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/6))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))))
(+.f64 (.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 2) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))))
(+.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/6) (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 2) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))))
(*.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))
(*.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))
(*.f64 -1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))
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(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	4.6b	(fmod.f64 (exp.f64 x) 1)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
	4.6b	(fmod.f64 (exp.f64 x) 1)

Compiler

Compiled 16 to 8 computations (50% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite77.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1254×	`rational.json-1`
1254×	`rational.json-2`
1254×	`rational.json-4`
1254×	`rational.json-3`
1246×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	62	21
2	156	21
3	355	21
4	863	21
5	3417	21

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

Inputs
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))

Outputs

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

simplify104.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1306×	`rational.json-simplify-55`
978×	`rational.json-simplify-2`
682×	`rational.json-simplify-41`
666×	`rational.json-simplify-50`
628×	`rational.json-simplify-54`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	166	2366
1	358	2288
2	824	2254
3	2906	2202
4	5065	2078

Stop Event

1×	node limit

Counts

74 → 98

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
✓	0.0b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
	4.6b	(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))

Compiler

Compiled 49 to 36 computations (26.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

(*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))

0.0ms

(*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))

0.0ms

-inf

(*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))

rewrite138.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`exponential.json-3`
1350×	`rational.json-1`
1350×	`rational.json-2`
1350×	`rational.json-4`
1350×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	99	41
2	194	41
3	367	41
4	664	41
5	1473	41
6	2854	41
7	4229	41
8	5645	41
9	7139	41

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (*.f64 (-.f64 1 x) 1/2)) (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (*.f64 (-.f64 1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (*.f64 (-.f64 1 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (*.f64 (-.f64 1 x) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (-.f64 1 x)) (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 2 (-.f64 1 x)) (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 2 (-.f64 1 x)) (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 2 (-.f64 1 x)) (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x)) 1)))))

simplify397.0ms (1%)

Algorithm

1×	egg-herbie

Rules

3482×	`rational.json-simplify-2`
2046×	`rational.json-simplify-35`
2004×	`rational.json-simplify-53`
1120×	`rational.json-simplify-43`
1094×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	1319
1	151	1297
2	295	1297
3	668	1297
4	2523	1297
5	4214	1297
6	4665	1297
7	4824	1297
8	4928	1297
9	5029	1297
10	5842	1297
11	6255	1297
12	6357	1297
13	6458	1297
14	6458	1297
15	6559	1297
16	7498	1297

Stop Event

1×	node limit

Counts

25 → 27

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) x)))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) x))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) x)))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) x))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) x)))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x)) 0)
(+.f64 0 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x)))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (.f64 (-.f64 1 x) 1/2)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (.f64 (-.f64 1 x) 1/2)))
(-.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x)) 0)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x)) 1)
(/.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))) 2)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (*.f64 (-.f64 1 x) 4)) 4)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (*.f64 (-.f64 1 x) 8)) 8)
(/.f64 (.f64 (.f64 2 (-.f64 1 x)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) 8)) 16)
(/.f64 (.f64 2 (.f64 (.f64 2 (-.f64 1 x)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 2 (-.f64 1 x)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 2 (-.f64 1 x)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) 8))))) 128)
(pow.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x)) 1)

Outputs
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) x)))
(+.f64 (.f64 -1 (.f64 x (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (neg.f64 x)) (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))) (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) x)))
(+.f64 (.f64 -1 (.f64 x (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (neg.f64 x)) (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))) (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) x)))
(+.f64 (.f64 -1 (.f64 x (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (neg.f64 x)) (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))) (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) x))
(.f64 -1 (.f64 x (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4)))))
(.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (neg.f64 x))
(.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4)))))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 -1 (.f64 x (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))))))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4))))))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 -1 (.f64 x (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))))))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4))))))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 -1 (.f64 x (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))))))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4))))))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) x))
(.f64 -1 (.f64 x (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4)))))
(.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (neg.f64 x))
(.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4)))))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 -1 (.f64 x (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))))))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4))))))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 -1 (.f64 x (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))))))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4))))))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 -1 (.f64 x (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))))))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 (pow.f64 x 2) 1/4))) (.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 (pow.f64 x 2) 1/4))))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x)) 0)
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (-.f64 1 x))
(+.f64 0 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (-.f64 1 x))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (.f64 (-.f64 1 x) 1/2)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (.f64 (-.f64 1 x) 1/2)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (-.f64 1 x))
(-.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x)) 0)
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (-.f64 1 x))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x)) 1)
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (-.f64 1 x))
(/.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))) 2)
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (-.f64 1 x))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (*.f64 (-.f64 1 x) 4)) 4)
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (-.f64 1 x))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (*.f64 (-.f64 1 x) 8)) 8)
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (-.f64 1 x))
(/.f64 (.f64 (.f64 2 (-.f64 1 x)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) 8)) 16)
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (-.f64 1 x))
(/.f64 (.f64 2 (.f64 (.f64 2 (-.f64 1 x)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) 8))) 32)
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (-.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 2 (-.f64 1 x)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) 8)))) 64)
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (-.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 2 (-.f64 1 x)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) 8))))) 128)
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (-.f64 1 x))
(pow.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x)) 1)
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (-.f64 1 x))

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))))
✓	0.8b	(.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) -1) (exp.f64 (neg.f64 x)))
✓	2.2b	(+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))))) -1)
	4.6b	(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))

Compiler

Compiled 96 to 70 computations (27.1% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) -1) (exp.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))))
0.0ms	x	@	0	(+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))))) -1)
0.0ms	x	@	inf	(-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))))
0.0ms	x	@	inf	(+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))))) -1)

rewrite127.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1708×	`rational.json-1`
1526×	`rational.json-simplify-35`
1090×	`rational.json-simplify-2`
1064×	`exponential.json-3`
1064×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	143
1	138	123
2	266	103
3	574	103
4	1245	103
5	3626	103
6	7772	103

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

Inputs

(+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))))) -1)

(*.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))))) -1) (exp.f64 (neg.f64 x)))

(-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))))

Outputs

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*.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))))) (neg.f64 (*.f64 2 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))))))))

simplify122.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1500×	`rational.json-simplify-2`
1166×	`rational.json-simplify-49`
832×	`rational.json-simplify-35`
740×	`rational.json-simplify-41`
688×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	385	10521
1	1046	10429
2	4823	8833

Stop Event

1×	node limit

Counts

229 → 229

Calls

Call 1

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

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

eval373.0ms (1%)

Compiler: Compiled 14297 to 8793 computations (38.5% saved)

prune140.0ms (0.4%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	732	4	736
Fresh	0	6	6
Picked	1	0	1
Done	2	4	6
Total	735	14	749

Error

57.7b

Counts

749 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	59.2b	(fmod.f64 (exp.f64 x) 1)
▶	57.7b	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x))
	59.7b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))
✓	58.0b	(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
	57.8b	(/.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	58.1b	(/.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) 1)))
▶	58.5b	(+.f64 -1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))))
✓	58.6b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
▶	58.3b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))
▶	58.8b	(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
✓	58.1b	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
▶	58.1b	(*.f64 (/.f64 -1 (/.f64 -1 (fmod.f64 (exp.f64 x) 1))) (exp.f64 (neg.f64 x)))
	57.8b	(.f64 (-.f64 (+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) -2) -2) (exp.f64 (neg.f64 x)))
	58.6b	(.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) -1) (-.f64 1 x))

Compiler

Compiled 367 to 266 computations (27.5% saved)

localize19.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
✓	0.7b	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x))
	4.6b	(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))

Compiler

Compiled 45 to 32 computations (28.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x))

0.0ms

inf

(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x))

0.0ms

-inf

(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x))

rewrite110.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1360×	`rational.json-1`
1360×	`rational.json-2`
1360×	`rational.json-4`
1360×	`rational.json-3`
1352×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	95	39
2	206	39
3	442	39
4	1033	39
5	3833	39

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

Inputs
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (neg.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (/.f64 1/2 (exp.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (/.f64 1/2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (/.f64 1/2 (exp.f64 x))) (/.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (neg.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (/.f64 1/2 (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (neg.f64 (*.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (/.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) (*.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (/.f64 1/2 (exp.f64 x))))))) 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simplify122.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1022×	`rational.json-simplify-2`
896×	`rational.json-simplify-39`
770×	`rational.json-simplify-41`
726×	`rational.json-simplify-55`
722×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	187	4984
1	416	4802
2	944	4736
3	3111	4628
4	6014	4626

Stop Event

1×	node limit

Counts

90 → 109

Calls

Call 1

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

Outputs
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) x)))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (neg.f64 x)) (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))) (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))) (.f64 1/2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) x))))
(+.f64 (.f64 (pow.f64 x 2) (.f64 -1 (+.f64 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))) (.f64 1/2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (neg.f64 x)) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))))
(+.f64 (.f64 -1 (+.f64 (.f64 (pow.f64 x 2) (.f64 -1/2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))) (.f64 x (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))))) (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))))
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(.f64 (/.f64 -1/2 (exp.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) -2))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) (exp.f64 x))
(.f64 (/.f64 1/2 (.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4)))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4)))))) (/.f64 (.f64 (exp.f64 x) 2) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4)))))
(.f64 (.f64 2 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))) (/.f64 1/2 (.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))))))
(.f64 (.f64 (exp.f64 x) (/.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))) (/.f64 1/2 (.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))))))
(.f64 (.f64 (exp.f64 x) (/.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))) (/.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (exp.f64 x)) (.f64 (exp.f64 x) (/.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))))))
(.f64 (/.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (exp.f64 x)) (/.f64 (.f64 (exp.f64 x) 2) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))) (/.f64 (.f64 (exp.f64 x) 2) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))))
(.f64 (exp.f64 x) (.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (/.f64 1/2 (exp.f64 x))))) (/.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))))
(.f64 (/.f64 (exp.f64 x) (.f64 2 (.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4)))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))))) (/.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4)))))
(.f64 (/.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))) (/.f64 (/.f64 (exp.f64 x) 2) (.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))))))
(.f64 (/.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))) (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 (exp.f64 x) (/.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))))))
(/.f64 (/.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))) (/.f64 (/.f64 (.f64 (exp.f64 x) 2) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))))
(.f64 (/.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 x)) 4) 4)
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) (exp.f64 x))
(.f64 (/.f64 1 (.f64 (exp.f64 x) 8)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) 8))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (*.f64 8 (/.f64 (exp.f64 (neg.f64 x)) 8)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (*.f64 8 (/.f64 1/8 (exp.f64 x))))
(.f64 (/.f64 1 (.f64 (exp.f64 x) -2)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) -2))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) (exp.f64 x))
(.f64 (/.f64 -1 (.f64 (exp.f64 x) 2)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) -2))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) (exp.f64 x))
(pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x)) 1)
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) (exp.f64 x))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (neg.f64 (exp.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) (exp.f64 x))
(neg.f64 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4)))) (neg.f64 (.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4)))) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))))))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) (exp.f64 x))
(neg.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) -2) (*.f64 (exp.f64 x) 2)))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) (exp.f64 x))

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
	4.6b	(fmod.f64 (exp.f64 x) 1)

Compiler

Compiled 20 to 12 computations (40% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite154.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1732×	`rational.json-simplify-35`
1394×	`exponential.json-3`
1394×	`rational.json-1`
1394×	`rational.json-2`
1394×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	66	23
2	144	23
3	280	23
4	494	23
5	1059	23
6	2459	23
7	4187	23
8	5255	23
9	6499	23
10	7699	23

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (-.f64 1 x) 1/2)) (*.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (-.f64 1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (*.f64 (fmod.f64 (exp.f64 x) 1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (-.f64 1 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 1)))))

simplify598.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2830×	`rational.json-simplify-2`
2294×	`rational.json-simplify-35`
1724×	`rational.json-simplify-53`
1334×	`exponential.json-simplify-26`
1094×	`rational.json-simplify-43`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	49	954
1	129	904
2	260	904
3	628	674
4	2839	674
5	4259	674
6	4682	582
7	4814	582
8	4898	582
9	4977	582
10	5701	582
11	6306	582
12	6673	582
13	6795	582
14	6862	582
15	6929	582
16	6996	582
17	7063	582
18	7063	582
19	7063	582
20	7515	582
21	7775	582

Stop Event

1×	node limit

Counts

26 → 26

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 0)
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (-.f64 1 x) 1/2)) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (-.f64 1 x) 1/2)))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 0)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 1)
(/.f64 (.f64 (-.f64 1 x) (.f64 (fmod.f64 (exp.f64 x) 1) 2)) 2)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (-.f64 1 x) 4)) 4)
(/.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8)))))) 256)
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 1)

Outputs
(fmod.f64 (exp.f64 x) 1)
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x))
(.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1)))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x))
(.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1)))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 0)
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (-.f64 1 x) 1/2)) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (-.f64 1 x) 1/2)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 0)
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 1)
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(/.f64 (.f64 (-.f64 1 x) (.f64 (fmod.f64 (exp.f64 x) 1) 2)) 2)
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (-.f64 1 x) 4)) 4)
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(/.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8) 8)
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(/.f64 (.f64 2 (.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8)) 16)
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8))) 32)
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8)))) 64)
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8))))) 128)
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 8)))))) 256)
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 1)
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 -1 (fmod.f64 (exp.f64 x) 1))
✓	0.0b	(/.f64 -1 (/.f64 -1 (fmod.f64 (exp.f64 x) 1)))
✓	0.5b	(*.f64 (/.f64 -1 (/.f64 -1 (fmod.f64 (exp.f64 x) 1))) (exp.f64 (neg.f64 x)))
	4.6b	(fmod.f64 (exp.f64 x) 1)

Compiler

Compiled 41 to 25 computations (39% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite89.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`rational.json-1`
1496×	`rational.json-2`
1496×	`rational.json-4`
1496×	`rational.json-3`
1484×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	104	49
2	235	49
3	553	49
4	1600	49
5	4674	49

Stop Event

1×	node limit

Counts

3 → 217

Calls

Call 1

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

Outputs

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

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

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

simplify112.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1692×	`rational.json-simplify-49`
1632×	`rational.json-simplify-35`
1226×	`rational.json-simplify-46`
688×	`rational.json-simplify-44`
576×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	457	6005
1	1675	5043
2	7576	4963

Stop Event

1×	node limit

Counts

241 → 245

Calls

Call 1

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

Outputs
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(+.f64 -1 (+.f64 1 (/.f64 -1 (fmod.f64 (exp.f64 x) 1))))
(/.f64 -1 (fmod.f64 (exp.f64 x) 1))
(neg.f64 (/.f64 1 (fmod.f64 (exp.f64 x) 1)))
(+.f64 -1 (+.f64 1 (/.f64 -1 (fmod.f64 (exp.f64 x) 1))))
(/.f64 -1 (fmod.f64 (exp.f64 x) 1))

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
	0.0b	(sqrt.f64 (cos.f64 x))
✓	2.2b	(+.f64 -1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))))
	4.6b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 56 to 24 computations (57.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(+.f64 -1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))))
0.0ms	x	@	0	(+.f64 -1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))))
0.0ms	x	@	inf	(+.f64 -1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))))
0.0ms	x	@	inf	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
0.0ms	x	@	-inf	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))

rewrite132.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`rational.json-1`
1608×	`rational.json-2`
1150×	`rational.json-simplify-35`
1086×	`rational.json-3`
1082×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	74
1	102	74
2	208	68
3	419	66
4	823	66
5	1897	66
6	3749	66
7	5335	66
8	7609	66

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(+.f64 -1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 -1 x) 1/2)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 -1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x (+.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 -1 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 -1 x) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 -1 x) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 -1 x) 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 -1 x) 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) 1)))))

simplify204.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2224×	`rational.json-simplify-51`
1836×	`rational.json-simplify-2`
1788×	`rational.json-simplify-35`
910×	`exponential.json-simplify-26`
890×	`rational.json-simplify-1`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	136	4091
1	344	3981
2	951	3981
3	3095	3981
4	4903	3981
5	5753	3981
6	6169	3981
7	6485	3981
8	6506	2837

Stop Event

1×	node limit

Counts

89 → 86

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 -1 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))))
(-.f64 -1 (-.f64 (+.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) -2) -1) -2))
(-.f64 1 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))))
(-.f64 1 (-.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) -2))
(-.f64 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 1)
(-.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 0)
(-.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)))
(-.f64 0 (-.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) -2) -2))
(-.f64 0 (-.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 1/2)) (/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) -2)))
(-.f64 -2 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) -2))
(-.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) -2) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 -1 x) 1/2)))
(-.f64 (-.f64 (.f64 (-.f64 1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 1/2) 1) (/.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 2))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)))
(.f64 1 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) -1)
(.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 1)
(.f64 2 (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) -2))
(.f64 (.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) -2) 1/2)
(.f64 4 (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) -4))
(.f64 (.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 4) 1/4)
(.f64 1/2 (.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) -2))
(.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) -2) 2)
(.f64 1/4 (.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 4))
(.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) -4) 4)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) -1)
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 1)
(/.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) -2) 2)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x (+.f64 x -2))) -2)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 4)) -4)
(/.f64 (.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 4) 4)
(/.f64 (.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 8) 8)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 8)) -8)
(/.f64 (.f64 2 (.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 8)) 16)
(/.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 -1 x) 8))) -16)
(/.f64 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 8)))) -32)
(/.f64 (.f64 2 (.f64 2 (.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 8))) 32)
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x (+.f64 x -2)))) 2)
(/.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 4))) 4)
(/.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 8))) 8)
(/.f64 (neg.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 -1 x) 8)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 8)))) 64)
(/.f64 (.f64 2 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x (+.f64 x -2))))) 4)
(/.f64 (.f64 2 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 -1 x) 4)))) 8)
(/.f64 (.f64 2 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 -1 x) 8)))) 16)
(/.f64 (.f64 2 (neg.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 8))))) 32)
(pow.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 1)
(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)))
(+.f64 -1 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))))
(+.f64 1 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) 0)
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)))
(+.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 1)
(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) -1)
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 1/2)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 1/2)))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) 0)
(-.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) -1)
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 1)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) 1)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x (+.f64 x -2))) 2)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 4)) 4)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 8)) 8)
(/.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 -1 x) 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 -1 x) 8))))) 64)
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) 1)

Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1)
(neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)
(*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)
(*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x) (.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(-.f64 -1 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(-.f64 -1 (-.f64 (+.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) -2) -1) -2))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(-.f64 1 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(-.f64 1 (-.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) -2))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(-.f64 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 1)
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(-.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 0)
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(-.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(-.f64 0 (-.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) -2) -2))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
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(/.f64 (.f64 2 (neg.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 8))))) 32)
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(pow.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 1)
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 -1 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(+.f64 1 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) 0)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(+.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) -1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 1/2)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 1/2)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) 0)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(-.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) -1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x (+.f64 x -2))) 2)
(*.f64 (+.f64 x (+.f64 x -2)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (+.f64 x (+.f64 x -2)) 2))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 4)) 4)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 8)) 8)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(/.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 -1 x) 8))) 16)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(/.f64 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (+.f64 -1 x) 8)))) 32)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (+.f64 -1 x) 8))))) 64)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 x)) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 x 2) 1/2)
✓	0.0b	(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))
✓	0.0b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))
✓	4.6b	(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))

Compiler

Compiled 70 to 53 computations (24.3% saved)

series3.0ms (0%)

Counts

4 → 44

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))
0.0ms	x	@	inf	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))
0.0ms	x	@	-inf	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))
0.0ms	x	@	inf	(*.f64 (pow.f64 x 2) 1/2)
0.0ms	x	@	0	(*.f64 (pow.f64 x 2) 1/2)

rewrite147.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1580×	`rational.json-simplify-35`
1534×	`rational.json-1`
1534×	`rational.json-2`
1316×	`rational.json-3`
1302×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	126
1	119	126
2	223	126
3	423	126
4	772	126
5	1772	126
6	3515	126
7	4903	126
8	6405	126
9	7823	126

Stop Event

1×	node limit

Counts

4 → 71

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))
(*.f64 (pow.f64 x 2) 1/2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 1/2) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 1/2 (-.f64 1 x)))) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 1/2 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (neg.f64 (+.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 1/2 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (-.f64 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 2) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 2) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 x 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 2) 8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 2) 1/2) 1)))))

simplify614.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2732×	`rational.json-simplify-35`
2498×	`rational.json-simplify-2`
1754×	`rational.json-simplify-51`
1588×	`rational.json-simplify-1`
688×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	4637
1	371	4249
2	918	3665
3	2369	3657
4	3460	3657
5	4061	3657
6	4229	3657
7	4395	3657
8	4543	3657
9	6141	3657
10	6301	3657
11	6573	3657
12	6632	3657
13	6691	3657
14	6752	3657
15	6857	3657
16	6882	3657
17	7018	3657
18	7155	3657
19	7291	3657

Stop Event

1×	node limit

Counts

115 → 119

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) x)))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) x))))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) x))))
(.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) x))))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) x))))
(.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2)))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) x))))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) x))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) 0)
(+.f64 0 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 1/2) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 1/2))
(-.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) 0)
(.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))
(.f64 2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) 1/2))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 1)
(.f64 1/2 (.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))))
(.f64 (.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))) 1/2)
(.f64 4 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 4))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) 4) 1/4)
(.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) 1/2) 2)
(.f64 1/4 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) 4))
(.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 4) 4)
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) 1)
(/.f64 (.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2))))) 2)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 4) 4)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 8) 8)
(/.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 8))))) 128)
(pow.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) 1)
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))) 0)
(+.f64 0 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 1/2 (-.f64 1 x)))) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 1/2 (-.f64 1 x)))))
(-.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))) 0)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))) 1)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (pow.f64 x 2) (*.f64 (+.f64 x -1) -2))) 2)
(/.f64 (.f64 2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)))) 4)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8)) 8)
(/.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 8)) 16)
(/.f64 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) 8))))) 128)
(pow.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))) 1)
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 0)
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (neg.f64 (+.f64 x -2))) 1)
(.f64 1 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 1/2 (-.f64 1 x))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)))
(.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 1)
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 4))
(.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) 1/2)
(.f64 (.f64 2 (+.f64 (pow.f64 x 2) (*.f64 (+.f64 x -1) -2))) 1/4)
(.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 1/2 (-.f64 1 x))) 2)
(.f64 1/4 (.f64 2 (+.f64 (pow.f64 x 2) (*.f64 (+.f64 x -1) -2))))
(.f64 1/4 (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 (-.f64 1 x) 4)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 4) 4)
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 1)
(/.f64 (+.f64 (pow.f64 x 2) (*.f64 (+.f64 x -1) -2)) 2)
(/.f64 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2))) 4)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8))))) 128)
(pow.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 1)
(+.f64 (*.f64 (pow.f64 x 2) 1/2) 0)
(+.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))
(-.f64 (*.f64 (pow.f64 x 2) 1/2) 0)
(/.f64 (pow.f64 x 2) 2)
(/.f64 (*.f64 (pow.f64 x 2) 1/2) 1)
(/.f64 (*.f64 2 (pow.f64 x 2)) 4)
(/.f64 (*.f64 (pow.f64 x 2) 4) 8)
(/.f64 (*.f64 (pow.f64 x 2) 8) 16)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)) 32)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) 128)
(pow.f64 (*.f64 (pow.f64 x 2) 1/2) 1)

Outputs
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (.f64 x -1)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 1 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) x))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (.f64 x -1)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 1 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (*.f64 (pow.f64 x 2) 1/2)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) x))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (.f64 x -1)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 1 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (*.f64 (pow.f64 x 2) 1/2)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))
(.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2)))
(.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) x)))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 (pow.f64 x 2) 1/2)) (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 x -1)))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 (pow.f64 x 2) 1/2)) (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (+.f64 (neg.f64 x) (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (pow.f64 x 2))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) x))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 (pow.f64 x 2) 1/2)) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 x -1)) (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 (pow.f64 x 2) 1/2)) (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (neg.f64 x))))
(+.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x 2)))) (+.f64 (neg.f64 x) (.f64 (pow.f64 x 2) 1/2))))
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(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2))))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8)) 8)
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (.f64 x -1)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 1 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (*.f64 (pow.f64 x 2) 1/2)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))
(/.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 8)) 16)
(.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) 2))
(.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2))))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2))))
(/.f64 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) 8))) 32)
(.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) 2))
(.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2))))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) 8)))) 64)
(.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) 2))
(.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2))))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) 8))))) 128)
(.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) 2))
(.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2))))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2))))
(pow.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))) 1)
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (.f64 x -1)) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 1 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (*.f64 (pow.f64 x 2) 1/2)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 0)
(+.f64 1 (+.f64 (.f64 x -1) (.f64 (pow.f64 x 2) 1/2)))
(+.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (neg.f64 (+.f64 x -2))) 1)
(+.f64 (neg.f64 (+.f64 x -2)) (-.f64 (*.f64 (pow.f64 x 2) 1/2) 1))
(+.f64 -1 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (neg.f64 (+.f64 x -2))))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 -1 (+.f64 x -2)))
(.f64 1 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))
(+.f64 1 (+.f64 (.f64 x -1) (.f64 (pow.f64 x 2) 1/2)))
(+.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 1/2 (-.f64 1 x))))
(.f64 2 (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/2 (-.f64 1 x))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)))
(.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 1)
(+.f64 1 (+.f64 (.f64 x -1) (.f64 (pow.f64 x 2) 1/2)))
(+.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 4))
(+.f64 1 (+.f64 (.f64 x -1) (.f64 (pow.f64 x 2) 1/2)))
(+.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))
(.f64 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)) 1/2)
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)))
(.f64 (.f64 2 (+.f64 (pow.f64 x 2) (*.f64 (+.f64 x -1) -2))) 1/4)
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)))
(.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 1/2 (-.f64 1 x))) 2)
(.f64 2 (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/2 (-.f64 1 x))))
(.f64 1/4 (.f64 2 (+.f64 (pow.f64 x 2) (*.f64 (+.f64 x -1) -2))))
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)))
(.f64 1/4 (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 (-.f64 1 x) 4)))
(.f64 1/4 (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 4 (-.f64 1 x))))
(.f64 1/4 (+.f64 (.f64 4 (-.f64 1 x)) (*.f64 2 (pow.f64 x 2))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 4) 4)
(+.f64 1 (+.f64 (.f64 x -1) (.f64 (pow.f64 x 2) 1/2)))
(+.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 1)
(+.f64 1 (+.f64 (.f64 x -1) (.f64 (pow.f64 x 2) 1/2)))
(+.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))
(/.f64 (+.f64 (pow.f64 x 2) (*.f64 (+.f64 x -1) -2)) 2)
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)))
(/.f64 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2))) 4)
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (+.f64 x -1) -2)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8) 8)
(+.f64 1 (+.f64 (.f64 x -1) (.f64 (pow.f64 x 2) 1/2)))
(+.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8)) 16)
(+.f64 1 (+.f64 (.f64 x -1) (.f64 (pow.f64 x 2) 1/2)))
(+.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8))) 32)
(+.f64 1 (+.f64 (.f64 x -1) (.f64 (pow.f64 x 2) 1/2)))
(+.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8)))) 64)
(+.f64 1 (+.f64 (.f64 x -1) (.f64 (pow.f64 x 2) 1/2)))
(+.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 8))))) 128)
(+.f64 1 (+.f64 (.f64 x -1) (.f64 (pow.f64 x 2) 1/2)))
(+.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))
(pow.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)) 1)
(+.f64 1 (+.f64 (.f64 x -1) (.f64 (pow.f64 x 2) 1/2)))
(+.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 x 2) 1/2) -1))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x))
(+.f64 (*.f64 (pow.f64 x 2) 1/2) 0)
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 (pow.f64 x 2) 1/2)
(+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))
(*.f64 (pow.f64 x 2) 1/2)
(-.f64 (*.f64 (pow.f64 x 2) 1/2) 0)
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (pow.f64 x 2) 2)
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (*.f64 (pow.f64 x 2) 1/2) 1)
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (*.f64 2 (pow.f64 x 2)) 4)
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (*.f64 (pow.f64 x 2) 4) 8)
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (*.f64 (pow.f64 x 2) 8) 16)
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)) 32)
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))) 64)
(*.f64 (pow.f64 x 2) 1/2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) 128)
(*.f64 (pow.f64 x 2) 1/2)
(pow.f64 (*.f64 (pow.f64 x 2) 1/2) 1)
(*.f64 (pow.f64 x 2) 1/2)

eval275.0ms (0.7%)

Compiler: Compiled 14218 to 9691 computations (31.8% saved)

prune249.0ms (0.6%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	749	6	755
Fresh	1	4	5
Picked	0	1	1
Done	1	7	8
Total	751	18	769

Error

57.7b

Counts

769 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	59.2b	(fmod.f64 (exp.f64 x) 1)
✓	57.7b	(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x))
	59.7b	(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))
✓	58.0b	(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
	57.8b	(/.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))))) -1) (exp.f64 x))
	57.8b	(/.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
	58.1b	(/.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) 1)))
	58.5b	(+.f64 -1 (-.f64 1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 x -1))))
	58.8b	(+.f64 -1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 x -1))))
✓	58.6b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
✓	58.3b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))
✓	58.8b	(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
	61.6b	(*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x))
✓	58.1b	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
✓	58.1b	(*.f64 (/.f64 -1 (/.f64 -1 (fmod.f64 (exp.f64 x) 1))) (exp.f64 (neg.f64 x)))
	58.6b	(.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) -1) (-.f64 1 x))
	58.8b	(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) 1)))) (-.f64 1 x))
	59.7b	(.f64 (exp.f64 x) (.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (/.f64 1/2 (exp.f64 x))))) (/.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))))

Compiler

Compiled 287 to 211 computations (26.5% saved)

regimes263.0ms (0.7%)

Counts

27 → 1

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 -1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 x -1))))
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) 1)))) (-.f64 1 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 -1 (/.f64 -1 (fmod.f64 (exp.f64 x) 1))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
(+.f64 -1 (-.f64 1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 x -1))))
(.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) -1) (-.f64 1 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
(+.f64 -1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))))
(.f64 (-.f64 (+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) -2) -2) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))))) -1) (exp.f64 x))
(.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) -1) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 -1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))))
(.f64 (exp.f64 x) (.f64 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (/.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (/.f64 1/2 (exp.f64 x))))) (/.f64 2 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))

Outputs
(+.f64 -1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))))

Calls

2 calls:

251.0ms	x
4.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Error	Segments	Branch
57.7b	1	`x`
57.7b	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 397 to 227 computations (42.8% saved)

regimes22.0ms (0.1%)

Counts

24 → 1

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 -1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 x -1))))
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) 1)))) (-.f64 1 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 -1 (/.f64 -1 (fmod.f64 (exp.f64 x) 1))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
(+.f64 -1 (-.f64 1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 x -1))))
(.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) -1) (-.f64 1 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
(+.f64 -1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))))
(.f64 (-.f64 (+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) -2) -2) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))))) -1) (exp.f64 x))
(.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) -1) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

Outputs
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

Calls

2 calls:

12.0ms	x
3.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Error	Segments	Branch
57.7b	1	`x`
57.7b	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 309 to 186 computations (39.8% saved)

regimes16.0ms (0%)

Counts

21 → 1

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 -1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 x -1))))
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) 1)))) (-.f64 1 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 -1 (/.f64 -1 (fmod.f64 (exp.f64 x) 1))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
(+.f64 -1 (-.f64 1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 x -1))))
(.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) -1) (-.f64 1 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
(+.f64 -1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x -1))))
(.f64 (-.f64 (+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) -2) -2) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))))) -1) (exp.f64 x))
(.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) -1) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 (pow.f64 x 2) 1/2) (-.f64 1 x)))

Outputs
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x))

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
57.7b	1	`x`

Compiler

Compiled 267 to 173 computations (35.2% saved)

regimes58.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 -1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 x -1))))
(*.f64 (+.f64 -1 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) 1)))) (-.f64 1 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) 1)))
(*.f64 (/.f64 -1 (/.f64 -1 (fmod.f64 (exp.f64 x) 1))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
(+.f64 -1 (-.f64 1 (.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (+.f64 x -1))))
(.f64 (+.f64 (-.f64 1 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) -1) (-.f64 1 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))

Outputs
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))

Calls

1 calls:

54.0ms

Results

Error	Segments	Branch
58.0b	1	`x`

Compiler

Compiled 151 to 97 computations (35.8% saved)

regimes6.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
58.8b	1	`x`

Compiler

Compiled 47 to 33 computations (29.8% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
58.8b	1	`x`

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes4.0ms (0%)

Accuracy

Total -2.4b remaining (-4.1%)

Threshold costs -2.4b (-4.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(fmod.f64 (exp.f64 x) 1)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
59.2b	1	`x`

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify73.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	203

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 -1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(+.f64 -1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 x -1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(fmod.f64 (exp.f64 x) 1)

Outputs
(+.f64 -1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(+.f64 -1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 x -1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(fmod.f64 (exp.f64 x) 1)

Compiler

Compiled 74 to 54 computations (27% saved)

soundness100.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1862×	`rational.json-simplify-35`
1094×	`rational.json-simplify-41`
1056×	`rational.json-simplify-2`
842×	`rational.json-simplify-50`
604×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	261	3731
1	712	3397
2	2720	3349
3	5512	3337

Stop Event

1×	node limit

Compiler

Compiled 52 to 16 computations (69.2% saved)

end49.0ms (0.1%)

Compiler: Compiled 68 to 39 computations (42.6% saved)