Details

analyze112.0ms (1.6%)

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
25%	25%	75%	0%	0%	0%	0%	3
28.6%	25%	62.5%	0%	0%	0%	12.5%	4
30.8%	25%	56.2%	0%	0%	0%	18.7%	5
36%	28.1%	50%	0%	0%	0%	21.9%	6
38.8%	29.7%	46.9%	0%	0%	0%	23.4%	7
40.2%	30.5%	45.3%	0%	0%	0%	24.2%	8
40.7%	30.8%	44.9%	0%	0%	0%	24.2%	9
41.2%	31.2%	44.5%	0%	0%	0%	24.2%	10
41.4%	31.3%	44.4%	0%	0%	0%	24.2%	11
41.5%	31.4%	44.3%	0%	0%	0%	24.3%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.2s (17.6%)

Results

645.0ms	2730×	body	1024	valid
290.0ms	3884×	body	256	valid
203.0ms	1365×	body	512	valid
82.0ms	277×	body	2048	valid
1.0ms	2×	body	2048	infinite
0.0ms	5×	body	256	unsamplable

Bogosity

preprocess145.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

2032×	`rational.json-simplify-35`
1186×	`rational.json-simplify-51`
898×	`rational.json-simplify-1`
830×	`rational.json-simplify-2`
802×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	16	21
2	31	21
3	66	21
4	159	21
5	437	21
6	1639	21
7	3033	21
8	5130	21
9	7061	21
10	7913	21
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify147.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

2032×	`rational.json-simplify-35`
1186×	`rational.json-simplify-51`
898×	`rational.json-simplify-1`
830×	`rational.json-simplify-2`
802×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	16	21
2	31	21
3	66	21
4	159	21
5	437	21
6	1639	21
7	3033	21
8	5130	21
9	7061	21
10	7913	21

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 15 to 8 computations (46.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

41.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.0b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 8 computations (50% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite91.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`rational.json-1`
1572×	`rational.json-2`
1572×	`rational.json-4`
1572×	`rational.json-3`
1562×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	67	32
2	188	32
3	445	32
4	1189	32
5	4597	32

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

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

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

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

simplify125.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1356×	`rational.json-simplify-35`
1302×	`rational.json-simplify-51`
1066×	`rational.json-simplify-2`
952×	`rational.json-simplify-1`
902×	`rational.json-simplify-50`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	265	4222
1	562	4186
2	1892	4114
3	3672	4106
4	6140	3986

Stop Event

1×	node limit

Counts

150 → 194

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 -1 (exp.f64 x))
(+.f64 -1 (-.f64 1 (-.f64 1 (exp.f64 x))))
(+.f64 -2 (-.f64 (exp.f64 x) -1))
(+.f64 (-.f64 (exp.f64 x) -1) -2)
(+.f64 (-.f64 1 (-.f64 1 (exp.f64 x))) -1)
(*.f64 1 (+.f64 (exp.f64 x) -1))
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(*.f64 -1 (-.f64 1 (exp.f64 x)))
(.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 1/2)
(*.f64 (-.f64 1 (exp.f64 x)) -1)
(.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 1/2))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) 1/4)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) -2) -1/2)
(*.f64 4 (/.f64 (+.f64 (exp.f64 x) -1) 4))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 8) 1/8)
(.f64 1/2 (+.f64 (.f64 (exp.f64 x) 2) -2))
(.f64 -1/2 (.f64 (+.f64 (exp.f64 x) -1) -2))
(.f64 1/4 (.f64 (+.f64 (exp.f64 x) -1) 4))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 1/2) 2)
(.f64 1/8 (.f64 (+.f64 (exp.f64 x) -1) 8))
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) 4) 4)
(/.f64 1 (/.f64 -1 (-.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(/.f64 -1 (-.f64 0 (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2)
(/.f64 (-.f64 1 (exp.f64 x)) -1)
(/.f64 2 (*.f64 2 (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(/.f64 2 (/.f64 2 (+.f64 (exp.f64 x) -1)))
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) -2) -2)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 8) 8)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) -4) -4)
(/.f64 1/2 (/.f64 -1/2 (-.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2)) -2)
(/.f64 (.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 8)) 16)
(/.f64 (/.f64 (*.f64 (+.f64 (exp.f64 x) -1) -4) -1) 4)
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(neg.f64 (-.f64 1 (exp.f64 x)))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 0)
(+.f64 0 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))
(+.f64 -1 (-.f64 1 (/.f64 (exp.f64 x) (-.f64 1 (exp.f64 x)))))
(+.f64 (/.f64 1/2 (+.f64 1 (/.f64 -1 (exp.f64 x)))) (/.f64 1/2 (+.f64 1 (/.f64 -1 (exp.f64 x)))))
(+.f64 (-.f64 1 (/.f64 (exp.f64 x) (-.f64 1 (exp.f64 x)))) -1)
(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 0)
(-.f64 0 (/.f64 (exp.f64 x) (-.f64 1 (exp.f64 x))))
(*.f64 (exp.f64 x) (/.f64 -1 (-.f64 1 (exp.f64 x))))
(.f64 (exp.f64 x) (.f64 -1 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(.f64 (exp.f64 x) (.f64 1/2 (*.f64 2 (/.f64 -1 (-.f64 1 (exp.f64 x))))))
(.f64 (exp.f64 x) (.f64 1/2 (/.f64 2 (+.f64 (exp.f64 x) -1))))
(*.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))
(.f64 (+.f64 (exp.f64 x) -1) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 1)
(*.f64 -1 (/.f64 (exp.f64 x) (-.f64 1 (exp.f64 x))))
(.f64 -1 (/.f64 (.f64 (exp.f64 x) 2) (neg.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2))))
(.f64 (.f64 (exp.f64 x) 2) (/.f64 -1/2 (-.f64 1 (exp.f64 x))))
(.f64 (.f64 (exp.f64 x) 2) (*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) -1/2))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(.f64 (neg.f64 (exp.f64 x)) (.f64 -1 (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(.f64 (neg.f64 (exp.f64 x)) (.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 1 (exp.f64 x))))))
(*.f64 2 (/.f64 1/2 (+.f64 1 (/.f64 -1 (exp.f64 x)))))
(*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (exp.f64 x)))) 1/2)
(.f64 (.f64 (exp.f64 x) 4) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 4))
(.f64 (.f64 (exp.f64 x) 4) (*.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 1/4))
(.f64 (.f64 (exp.f64 x) 4) (*.f64 (/.f64 -1/2 (-.f64 1 (exp.f64 x))) 1/2))
(.f64 4 (/.f64 (exp.f64 x) (.f64 (+.f64 (exp.f64 x) -1) 4)))
(*.f64 4 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 4))
(*.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (exp.f64 x))
(*.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 1 (exp.f64 (neg.f64 x))))
(.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (/.f64 1 (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))))
(.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (/.f64 2 (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) -1/2))))
(.f64 (/.f64 -1 (exp.f64 x)) (/.f64 (-.f64 1 (exp.f64 x)) (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))))
(.f64 (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) -1/2) (/.f64 1 (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) -1/2))))
(.f64 (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) -1/2) (/.f64 1/2 (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))))
(.f64 -2 (.f64 (exp.f64 x) (/.f64 1/2 (-.f64 1 (exp.f64 x)))))
(.f64 -2 (/.f64 (exp.f64 x) (.f64 (+.f64 (exp.f64 x) -1) -2)))
(*.f64 (/.f64 4 (+.f64 1 (/.f64 -1 (exp.f64 x)))) 1/4)
(.f64 (.f64 (exp.f64 x) 8) (/.f64 1 (*.f64 (+.f64 (exp.f64 x) -1) 8)))
(.f64 (.f64 (exp.f64 x) -4) (/.f64 1 (*.f64 (+.f64 (exp.f64 x) -1) -4)))
(.f64 (.f64 (exp.f64 x) -4) (/.f64 1 (.f64 2 (neg.f64 (+.f64 (.f64 (exp.f64 x) 2) -2)))))
(*.f64 (/.f64 (exp.f64 x) (-.f64 1 (exp.f64 x))) -1)
(.f64 (/.f64 -1/2 (-.f64 1 (exp.f64 x))) (.f64 (exp.f64 x) 2))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (neg.f64 (exp.f64 x)))
(*.f64 1/2 (/.f64 2 (+.f64 1 (/.f64 -1 (exp.f64 x)))))
(.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))))
(.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) (*.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) -1/2))))
(.f64 (.f64 (exp.f64 x) -2) (/.f64 1/2 (-.f64 1 (exp.f64 x))))
(.f64 (.f64 (exp.f64 x) -2) (*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1/2))
(.f64 (.f64 (exp.f64 x) -2) (/.f64 2 (.f64 2 (neg.f64 (+.f64 (.f64 (exp.f64 x) 2) -2)))))
(.f64 (.f64 (exp.f64 x) -2) (/.f64 1 (neg.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2))))
(.f64 (.f64 2 (/.f64 -1 (-.f64 1 (exp.f64 x)))) (*.f64 (exp.f64 x) 1/2))
(.f64 (.f64 2 (/.f64 1 (-.f64 1 (exp.f64 x)))) (*.f64 (exp.f64 x) -1/2))
(*.f64 -1/2 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) -1/2)
(.f64 (/.f64 2 (+.f64 (exp.f64 x) -1)) (.f64 (exp.f64 x) 1/2))
(*.f64 (/.f64 1/2 (+.f64 1 (/.f64 -1 (exp.f64 x)))) 2)
(.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) (*.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))))
(.f64 (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) 1/2) (/.f64 2 (*.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))))
(.f64 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 4) (.f64 (exp.f64 x) 4))
(.f64 (/.f64 1/2 (-.f64 1 (exp.f64 x))) (.f64 (exp.f64 x) -2))
(*.f64 1/4 (/.f64 4 (+.f64 1 (/.f64 -1 (exp.f64 x)))))
(.f64 (.f64 (exp.f64 x) 1/2) (*.f64 2 (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(.f64 (.f64 (exp.f64 x) 1/2) (/.f64 2 (+.f64 (exp.f64 x) -1)))
(.f64 (/.f64 2 (exp.f64 x)) (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) -1/2))))
(.f64 (.f64 (exp.f64 x) -1/2) (*.f64 2 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(.f64 (.f64 (exp.f64 x) -1/2) (/.f64 2 (-.f64 1 (exp.f64 x))))
(.f64 (.f64 (exp.f64 x) (/.f64 1/2 (-.f64 1 (exp.f64 x)))) -2)
(.f64 (.f64 -1 (/.f64 -1 (-.f64 1 (exp.f64 x)))) (neg.f64 (exp.f64 x)))
(.f64 (.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 1/4) (*.f64 (exp.f64 x) 4))
(.f64 (.f64 (/.f64 -1/2 (-.f64 1 (exp.f64 x))) 1/2) (*.f64 (exp.f64 x) 4))
(.f64 (.f64 -1 (/.f64 1 (-.f64 1 (exp.f64 x)))) (exp.f64 x))
(.f64 (.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) -1/2) (*.f64 (exp.f64 x) 2))
(.f64 (.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1/2) (*.f64 (exp.f64 x) -2))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 -1 (-.f64 1 (exp.f64 x))))) (exp.f64 x))
(.f64 (.f64 1/2 (/.f64 2 (+.f64 (exp.f64 x) -1))) (exp.f64 x))
(.f64 (.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 1 (exp.f64 x))))) (neg.f64 (exp.f64 x)))
(*.f64 (/.f64 1 (exp.f64 (neg.f64 x))) (/.f64 -1 (-.f64 1 (exp.f64 x))))
(.f64 (/.f64 1 (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))) (+.f64 1 (/.f64 -1 (exp.f64 x))))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))) (exp.f64 (neg.f64 x)))
(.f64 (/.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) (*.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))) (/.f64 1/2 (exp.f64 x)))
(.f64 (/.f64 (-.f64 1 (exp.f64 x)) (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))) (/.f64 -1 (exp.f64 x)))
(.f64 (/.f64 2 (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))) (*.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) 1/2))
(.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))) (+.f64 (exp.f64 x) -1))
(.f64 (/.f64 1 (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) -1/2))) (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) -1/2))
(.f64 (/.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) (*.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) -1/2))) (exp.f64 (neg.f64 x)))
(.f64 (/.f64 2 (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) -1/2))) (+.f64 1 (/.f64 -1 (exp.f64 x))))
(.f64 (/.f64 (.f64 (exp.f64 x) 2) (neg.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2))) -1)
(.f64 (/.f64 (exp.f64 x) (.f64 (+.f64 (exp.f64 x) -1) -2)) -2)
(.f64 (/.f64 (exp.f64 x) (.f64 (+.f64 (exp.f64 x) -1) 4)) 4)
(.f64 (/.f64 2 (-.f64 1 (exp.f64 x))) (.f64 (exp.f64 x) -1/2))
(.f64 (/.f64 1 (.f64 (+.f64 (exp.f64 x) -1) -4)) (*.f64 (exp.f64 x) -4))
(.f64 (/.f64 1/2 (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))) (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) -1/2))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) -1/2))) (/.f64 2 (exp.f64 x)))
(*.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 4) 4)
(.f64 (/.f64 1 (.f64 (+.f64 (exp.f64 x) -1) 8)) (*.f64 (exp.f64 x) 8))
(.f64 (/.f64 1 (.f64 2 (neg.f64 (+.f64 (.f64 (exp.f64 x) 2) -2)))) (.f64 (exp.f64 x) -4))
(.f64 (/.f64 2 (.f64 2 (neg.f64 (+.f64 (.f64 (exp.f64 x) 2) -2)))) (.f64 (exp.f64 x) -2))
(.f64 (/.f64 1 (neg.f64 (+.f64 (.f64 (exp.f64 x) 2) -2))) (*.f64 (exp.f64 x) -2))
(pow.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 1)
(neg.f64 (/.f64 (exp.f64 x) (-.f64 1 (exp.f64 x))))

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) (.f64 (pow.f64 x 3) -1/720))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (.f64 (pow.f64 x 3) -1/720) 1/2))
(+.f64 1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720)))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 (exp.f64 x) -1)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (-.f64 1 (-.f64 1 (exp.f64 x))))
(+.f64 (exp.f64 x) -1)
(+.f64 -2 (-.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 (-.f64 (exp.f64 x) -1) -2)
(+.f64 (exp.f64 x) -1)
(+.f64 (-.f64 1 (-.f64 1 (exp.f64 x))) -1)
(+.f64 (exp.f64 x) -1)
(*.f64 1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(*.f64 -1 (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 1/2)
(+.f64 (exp.f64 x) -1)
(*.f64 (-.f64 1 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 1/2))
(+.f64 (exp.f64 x) -1)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) 1/4)
(+.f64 (exp.f64 x) -1)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) -2) -1/2)
(+.f64 (exp.f64 x) -1)
(*.f64 4 (/.f64 (+.f64 (exp.f64 x) -1) 4))
(+.f64 (exp.f64 x) -1)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 8) 1/8)
(+.f64 (exp.f64 x) -1)
(.f64 1/2 (+.f64 (.f64 (exp.f64 x) 2) -2))
(+.f64 (exp.f64 x) -1)
(.f64 -1/2 (.f64 (+.f64 (exp.f64 x) -1) -2))
(+.f64 (exp.f64 x) -1)
(.f64 1/4 (.f64 (+.f64 (exp.f64 x) -1) 4))
(+.f64 (exp.f64 x) -1)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 1/2) 2)
(+.f64 (exp.f64 x) -1)
(.f64 1/8 (.f64 (+.f64 (exp.f64 x) -1) 8))
(+.f64 (exp.f64 x) -1)
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) 4) 4)
(+.f64 (exp.f64 x) -1)
(/.f64 1 (/.f64 -1 (-.f64 1 (exp.f64 x))))
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(/.f64 -1 (-.f64 0 (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2)
(+.f64 (exp.f64 x) -1)
(/.f64 (-.f64 1 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(/.f64 2 (*.f64 2 (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(+.f64 (exp.f64 x) -1)
(/.f64 2 (/.f64 2 (+.f64 (exp.f64 x) -1)))
(+.f64 (exp.f64 x) -1)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4)
(+.f64 (exp.f64 x) -1)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) -2) -2)
(+.f64 (exp.f64 x) -1)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 8) 8)
(+.f64 (exp.f64 x) -1)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) -4) -4)
(+.f64 (exp.f64 x) -1)
(/.f64 1/2 (/.f64 -1/2 (-.f64 1 (exp.f64 x))))
(+.f64 (exp.f64 x) -1)
(/.f64 (neg.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2)) -2)
(+.f64 (exp.f64 x) -1)
(/.f64 (.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 8)) 16)
(+.f64 (exp.f64 x) -1)
(/.f64 (/.f64 (*.f64 (+.f64 (exp.f64 x) -1) -4) -1) 4)
(+.f64 (exp.f64 x) -1)
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(neg.f64 (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 x) -1)
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 0)
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(+.f64 0 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(+.f64 -1 (-.f64 1 (/.f64 (exp.f64 x) (-.f64 1 (exp.f64 x)))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(+.f64 (/.f64 1/2 (+.f64 1 (/.f64 -1 (exp.f64 x)))) (/.f64 1/2 (+.f64 1 (/.f64 -1 (exp.f64 x)))))
(+.f64 (-.f64 1 (/.f64 (exp.f64 x) (-.f64 1 (exp.f64 x)))) -1)
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 0)
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(-.f64 0 (/.f64 (exp.f64 x) (-.f64 1 (exp.f64 x))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(*.f64 (exp.f64 x) (/.f64 -1 (-.f64 1 (exp.f64 x))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (exp.f64 x) (.f64 -1 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (exp.f64 x) (.f64 1/2 (*.f64 2 (/.f64 -1 (-.f64 1 (exp.f64 x))))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (exp.f64 x) (.f64 1/2 (/.f64 2 (+.f64 (exp.f64 x) -1))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(*.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (+.f64 (exp.f64 x) -1) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))))
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (/.f64 -1 (exp.f64 x)))) (+.f64 1 (/.f64 -1 (exp.f64 x)))))
(/.f64 (+.f64 (exp.f64 x) -1) (.f64 (exp.f64 x) (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 1)
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(*.f64 -1 (/.f64 (exp.f64 x) (-.f64 1 (exp.f64 x))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 -1 (/.f64 (.f64 (exp.f64 x) 2) (neg.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (.f64 (exp.f64 x) 2) (/.f64 -1/2 (-.f64 1 (exp.f64 x))))
(.f64 (.f64 2 (exp.f64 x)) (/.f64 -1/2 (-.f64 1 (exp.f64 x))))
(.f64 (.f64 2 (exp.f64 x)) (/.f64 1/2 (+.f64 (exp.f64 x) -1)))
(*.f64 2 (-.f64 (/.f64 1/2 (+.f64 (exp.f64 x) -1)) -1/2))
(.f64 (.f64 (exp.f64 x) 2) (*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) -1/2))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (neg.f64 (exp.f64 x)) (.f64 -1 (/.f64 -1 (-.f64 1 (exp.f64 x)))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (neg.f64 (exp.f64 x)) (.f64 1/2 (*.f64 2 (/.f64 1 (-.f64 1 (exp.f64 x))))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(*.f64 2 (/.f64 1/2 (+.f64 1 (/.f64 -1 (exp.f64 x)))))
(*.f64 (/.f64 2 (+.f64 1 (/.f64 -1 (exp.f64 x)))) 1/2)
(*.f64 1/2 (/.f64 2 (+.f64 1 (/.f64 -1 (exp.f64 x)))))
(.f64 (.f64 (exp.f64 x) 4) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 4))
(.f64 (.f64 4 (exp.f64 x)) (/.f64 -1/4 (-.f64 1 (exp.f64 x))))
(.f64 (.f64 4 (exp.f64 x)) (/.f64 1/4 (+.f64 (exp.f64 x) -1)))
(*.f64 4 (-.f64 (/.f64 1/4 (+.f64 (exp.f64 x) -1)) -1/4))
(.f64 (.f64 (exp.f64 x) 4) (*.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 1/4))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (.f64 (exp.f64 x) 4) (*.f64 (/.f64 -1/2 (-.f64 1 (exp.f64 x))) 1/2))
(.f64 (.f64 2 (exp.f64 x)) (/.f64 -1/2 (-.f64 1 (exp.f64 x))))
(.f64 (.f64 2 (exp.f64 x)) (/.f64 1/2 (+.f64 (exp.f64 x) -1)))
(*.f64 2 (-.f64 (/.f64 1/2 (+.f64 (exp.f64 x) -1)) -1/2))
(.f64 4 (/.f64 (exp.f64 x) (.f64 (+.f64 (exp.f64 x) -1) 4)))
(.f64 (.f64 4 (exp.f64 x)) (/.f64 -1/4 (-.f64 1 (exp.f64 x))))
(.f64 (.f64 4 (exp.f64 x)) (/.f64 1/4 (+.f64 (exp.f64 x) -1)))
(*.f64 4 (-.f64 (/.f64 1/4 (+.f64 (exp.f64 x) -1)) -1/4))
(*.f64 4 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 4))
(.f64 (.f64 4 (exp.f64 x)) (/.f64 -1/4 (-.f64 1 (exp.f64 x))))
(.f64 (.f64 4 (exp.f64 x)) (/.f64 1/4 (+.f64 (exp.f64 x) -1)))
(*.f64 4 (-.f64 (/.f64 1/4 (+.f64 (exp.f64 x) -1)) -1/4))
(*.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (exp.f64 x))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(*.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) (/.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (/.f64 1 (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (+.f64 1 (/.f64 -1 (exp.f64 x))))))
(*.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (/.f64 (/.f64 1 (+.f64 1 (/.f64 -1 (exp.f64 x)))) (+.f64 1 (/.f64 -1 (exp.f64 x)))))
(*.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (+.f64 1 (/.f64 -1 (exp.f64 x)))))
(.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (/.f64 2 (.f64 (+.f64 1 (/.f64 -1 (exp.f64 x))) (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) -1/2))))
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(*.f64 4 (-.f64 (/.f64 1/4 (+.f64 (exp.f64 x) -1)) -1/4))
(.f64 (/.f64 1 (.f64 (+.f64 (exp.f64 x) -1) 8)) (*.f64 (exp.f64 x) 8))
(.f64 (exp.f64 x) (.f64 8 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) 8)))
(.f64 8 (.f64 (exp.f64 x) (/.f64 1/8 (+.f64 (exp.f64 x) -1))))
(*.f64 8 (-.f64 (/.f64 1/8 (+.f64 (exp.f64 x) -1)) -1/8))
(.f64 (/.f64 1 (.f64 2 (neg.f64 (+.f64 (.f64 (exp.f64 x) 2) -2)))) (.f64 (exp.f64 x) -4))
(.f64 (exp.f64 x) (.f64 -4 (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 x))) -4)))
(.f64 (exp.f64 x) (.f64 -4 (/.f64 1/4 (-.f64 1 (exp.f64 x)))))
(*.f64 -4 (-.f64 (/.f64 1/4 (-.f64 1 (exp.f64 x))) 1/4))
(.f64 (/.f64 2 (.f64 2 (neg.f64 (+.f64 (.f64 (exp.f64 x) 2) -2)))) (.f64 (exp.f64 x) -2))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (/.f64 1 (neg.f64 (+.f64 (.f64 (exp.f64 x) 2) -2))) (*.f64 (exp.f64 x) -2))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(pow.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 1)
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(neg.f64 (/.f64 (exp.f64 x) (-.f64 1 (exp.f64 x))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))

eval40.0ms (0.6%)

Compiler: Compiled 2689 to 1777 computations (33.9% saved)

prune121.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	188	6	194
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	189	6	195

Error

Counts

195 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(/.f64 (exp.f64 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
▶	1.6b	(/.f64 (exp.f64 x) x)
▶	21.9b	(/.f64 1 x)
▶	22.1b	(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
▶	22.0b	(+.f64 1/2 (/.f64 1 x))
	40.5b	(*.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) -1/2)

Compiler

Compiled 92 to 72 computations (21.7% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 21 computations (32.3% saved)

series2.0ms (0%)

Counts

2 → 15

Calls

6 calls:

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

rewrite742.0ms (10.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1400×	`rational.json-1`
1400×	`rational.json-2`
1400×	`rational.json-4`
1400×	`rational.json-3`
1392×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	73	48
2	166	48
3	401	48
4	968	48
5	3848	48

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

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

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

simplify134.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1534×	`rational.json-simplify-53`
1288×	`rational.json-simplify-2`
1112×	`rational.json-simplify-39`
1104×	`rational.json-simplify-55`
776×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	227	5252
1	491	5168
2	2055	4930
3	3568	4730
4	6609	4612

Stop Event

1×	node limit

Counts

126 → 174

Calls

Call 1

Inputs
x
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/4 x)))
(+.f64 1/2 (+.f64 (.f64 1/24 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (.f64 1/4 x))))
(*.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2)))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (*.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))))))
(*.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2)))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (*.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))))))
(-.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 0)
(-.f64 0 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(*.f64 1/2 (+.f64 x (+.f64 x (pow.f64 x 2))))
(.f64 2 (.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) 1)
(.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2))))
(*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 1/2)
(.f64 (.f64 2 (+.f64 x (+.f64 x (pow.f64 x 2)))) 1/4)
(.f64 (neg.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) -1)
(.f64 -1 (neg.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2)))))
(.f64 4 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) 4))
(.f64 (.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 8) 1/8)
(.f64 1/4 (.f64 2 (+.f64 x (+.f64 x (pow.f64 x 2)))))
(.f64 (.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 2)
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) 4) 4)
(.f64 1/8 (.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 8))
(/.f64 1/2 (/.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 2 (.f64 2 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2))))))
(/.f64 2 (/.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)
(/.f64 1 (/.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2)
(/.f64 (*.f64 2 (+.f64 x (+.f64 x (pow.f64 x 2)))) 4)
(/.f64 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) -1)
(/.f64 -1 (/.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) 8) 8)
(/.f64 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2) -2)
(/.f64 (neg.f64 (+.f64 x (+.f64 x (pow.f64 x 2)))) -2)
(/.f64 -2 (-.f64 0 (.f64 2 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))))))
(/.f64 -2 (-.f64 0 (/.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 8)) 16)
(/.f64 -1/2 (neg.f64 (/.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 (neg.f64 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2)) 2)
(pow.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)
(neg.f64 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 0)
(+.f64 0 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (exp.f64 x)) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x (pow.f64 x 2)))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x (pow.f64 x 2)))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 0)
(-.f64 0 (/.f64 (neg.f64 (exp.f64 x)) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(.f64 1/2 (.f64 (exp.f64 x) (/.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(*.f64 2 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x (pow.f64 x 2)))))
(.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x)))))
(.f64 (exp.f64 x) (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))))
(.f64 (exp.f64 x) (.f64 1/2 (.f64 2 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))))))
(.f64 (exp.f64 x) (.f64 1/2 (/.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) 1)
(.f64 1 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))))
(.f64 (.f64 2 (exp.f64 x)) (/.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (.f64 (exp.f64 x) (/.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))) 1/2)
(.f64 (.f64 (exp.f64 x) 4) (/.f64 1/2 (+.f64 x (+.f64 x (pow.f64 x 2)))))
(.f64 (.f64 (exp.f64 x) 4) (.f64 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) 1/4))
(.f64 (.f64 (exp.f64 x) 4) (.f64 1/2 (/.f64 1/2 (+.f64 x (.f64 1/2 (pow.f64 x 2))))))
(.f64 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (exp.f64 x))
(.f64 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 1 (exp.f64 (neg.f64 x))))
(.f64 (neg.f64 (exp.f64 x)) (/.f64 -1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 1 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x)))))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 2 (.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)))))
(.f64 -1 (/.f64 (neg.f64 (exp.f64 x)) (+.f64 x (.f64 1/2 (pow.f64 x 2)))))
(.f64 -1 (/.f64 (.f64 (exp.f64 x) -2) (+.f64 x (+.f64 x (pow.f64 x 2)))))
(.f64 (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)) (/.f64 1 (.f64 (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)))))
(.f64 (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)) (/.f64 1/2 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x)))))
(.f64 4 (/.f64 (exp.f64 x) (.f64 2 (+.f64 x (+.f64 x (pow.f64 x 2))))))
(.f64 4 (/.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) 4))
(.f64 (/.f64 4 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x))) 1/4)
(.f64 (.f64 (exp.f64 x) 8) (/.f64 1 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) 8)))
(.f64 (/.f64 1/2 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (*.f64 2 (exp.f64 x)))
(.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x)))))
(.f64 (.f64 (exp.f64 x) -2) (/.f64 -1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (.f64 (exp.f64 x) -2) (/.f64 1 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2)))
(.f64 (.f64 (exp.f64 x) -2) (/.f64 -1 (+.f64 x (+.f64 x (pow.f64 x 2)))))
(.f64 (.f64 2 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2))))) (.f64 1/2 (exp.f64 x)))
(.f64 (/.f64 (neg.f64 (exp.f64 x)) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) -1)
(.f64 (/.f64 1/2 (exp.f64 x)) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x)))))
(.f64 (/.f64 2 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (*.f64 1/2 (exp.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x (pow.f64 x 2)))) 2)
(.f64 (.f64 1/2 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x))) (/.f64 2 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x)))))
(.f64 1/4 (/.f64 4 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x))))
(.f64 (/.f64 1/2 (+.f64 x (+.f64 x (pow.f64 x 2)))) (.f64 (exp.f64 x) 4))
(.f64 (/.f64 -1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (neg.f64 (exp.f64 x)))
(.f64 (/.f64 -1 (exp.f64 x)) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (neg.f64 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x))))))
(.f64 (/.f64 2 (exp.f64 x)) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)))))
(.f64 (.f64 1/2 (exp.f64 x)) (.f64 2 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2))))))
(.f64 (.f64 1/2 (exp.f64 x)) (/.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (.f64 1/2 (.f64 2 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))))) (exp.f64 x))
(.f64 (.f64 1/2 (/.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))) (exp.f64 x))
(.f64 (.f64 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) 1/4) (.f64 (exp.f64 x) 4))
(.f64 (.f64 1/2 (/.f64 1/2 (+.f64 x (.f64 1/2 (pow.f64 x 2))))) (.f64 (exp.f64 x) 4))
(.f64 (/.f64 2 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x)))) (.f64 1/2 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x))))
(.f64 (/.f64 1 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x)))) (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (exp.f64 x)))
(.f64 (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x)))) (/.f64 1/2 (exp.f64 x)))
(.f64 (/.f64 1 (exp.f64 (neg.f64 x))) (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x)))) (exp.f64 (neg.f64 x)))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (neg.f64 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x))))) (/.f64 -1 (exp.f64 x)))
(.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x)))) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (/.f64 2 (.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)))) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)))
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)))) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)))
(.f64 (/.f64 (.f64 (exp.f64 x) -2) (+.f64 x (+.f64 x (pow.f64 x 2)))) -1)
(.f64 (/.f64 (exp.f64 x) (.f64 2 (+.f64 x (+.f64 x (pow.f64 x 2))))) 4)
(.f64 (/.f64 -1/2 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (*.f64 (exp.f64 x) -2))
(.f64 (/.f64 1/2 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x)))) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)))) (/.f64 2 (exp.f64 x)))
(.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) 4) 4)
(.f64 (/.f64 1 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) 8)) (.f64 (exp.f64 x) 8))
(.f64 (/.f64 1 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2)) (.f64 (exp.f64 x) -2))
(.f64 (/.f64 -1 (+.f64 x (+.f64 x (pow.f64 x 2)))) (.f64 (exp.f64 x) -2))
(pow.f64 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 1)
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(neg.f64 (/.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (neg.f64 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x))))))
(neg.f64 (/.f64 (*.f64 (exp.f64 x) -2) (+.f64 x (+.f64 x (pow.f64 x 2)))))

Outputs
x
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/4 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))
(+.f64 1/2 (+.f64 (.f64 1/24 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (.f64 1/4 x))))
(+.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 2) 1/24))))
(*.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2)))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (*.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))) (*.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (*.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))) (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5)))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))) (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5)))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))) (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5))))))
(*.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2)))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (*.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))) (*.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (*.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))) (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5)))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))) (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5)))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))) (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5))))))
(-.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 0)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 0 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (+.f64 x (+.f64 x (pow.f64 x 2))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 2 (.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(*.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 1/2)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 (.f64 2 (+.f64 x (+.f64 x (pow.f64 x 2)))) 1/4)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 (neg.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) -1)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 -1 (neg.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 4 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) 4))
(.f64 4 (.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1/4))
(.f64 4 (.f64 1/4 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(.f64 4 (.f64 1/8 (+.f64 (pow.f64 x 2) (+.f64 x x))))
(.f64 (.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 8) 1/8)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 1/4 (.f64 2 (+.f64 x (+.f64 x (pow.f64 x 2)))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 (.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 2)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) 4) 4)
(.f64 4 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) 4))
(.f64 4 (.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1/4))
(.f64 4 (.f64 1/4 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(.f64 4 (.f64 1/8 (+.f64 (pow.f64 x 2) (+.f64 x x))))
(.f64 1/8 (.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 8))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 1/2 (/.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 2 (.f64 2 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2))))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 2 (/.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 1 (/.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) 2)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (*.f64 2 (+.f64 x (+.f64 x (pow.f64 x 2)))) 4)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) -1)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 -1 (/.f64 -1 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) 8) 8)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2) -2)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (neg.f64 (+.f64 x (+.f64 x (pow.f64 x 2)))) -2)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 -2 (-.f64 0 (.f64 2 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 -2 (-.f64 0 (/.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 8)) 16)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 -1/2 (neg.f64 (/.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (neg.f64 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2)) 2)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(pow.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(neg.f64 (neg.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 0)
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 0 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 -1 (-.f64 1 (/.f64 (neg.f64 (exp.f64 x)) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x (pow.f64 x 2)))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x (pow.f64 x 2)))))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (pow.f64 x 2) (+.f64 x x))) (/.f64 (exp.f64 x) (+.f64 (pow.f64 x 2) (+.f64 x x))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 0)
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(-.f64 0 (/.f64 (neg.f64 (exp.f64 x)) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 1/2 (.f64 (exp.f64 x) (/.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(*.f64 2 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x (pow.f64 x 2)))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x)))))
(.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (exp.f64 x) (exp.f64 x))))))
(.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 (+.f64 x x)))))
(.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))) (exp.f64 x)))
(.f64 (exp.f64 x) (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (exp.f64 x) (.f64 1/2 (.f64 2 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (exp.f64 x) (.f64 1/2 (/.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) 1)
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 1 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (.f64 2 (exp.f64 x)) (/.f64 1/2 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (.f64 (exp.f64 x) (/.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))) 1/2)
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (.f64 (exp.f64 x) 4) (/.f64 1/2 (+.f64 x (+.f64 x (pow.f64 x 2)))))
(.f64 4 (.f64 (/.f64 1/2 (+.f64 x (+.f64 x (pow.f64 x 2)))) (exp.f64 x)))
(*.f64 4 (/.f64 (/.f64 (exp.f64 x) 2) (+.f64 (pow.f64 x 2) (+.f64 x x))))
(.f64 (.f64 (exp.f64 x) 4) (.f64 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) 1/4))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (.f64 (exp.f64 x) 4) (.f64 1/2 (/.f64 1/2 (+.f64 x (.f64 1/2 (pow.f64 x 2))))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (exp.f64 x))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 1 (exp.f64 (neg.f64 x))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (neg.f64 (exp.f64 x)) (/.f64 -1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 1 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x)))))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (*.f64 (exp.f64 x) (exp.f64 x)))))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 1 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (exp.f64 (+.f64 x x))))))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
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(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))) (neg.f64 (exp.f64 x)))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 0) (exp.f64 x))
(.f64 (/.f64 (exp.f64 (neg.f64 x)) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x)))) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (exp.f64 x) (exp.f64 x))))))
(.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 (+.f64 x x)))))
(.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))) (exp.f64 x)))
(.f64 (/.f64 2 (.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)))) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 2 (.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)))))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (exp.f64 x) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (/.f64 (exp.f64 x) (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 2)))))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(.f64 (/.f64 1 (.f64 (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)))) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)))
(.f64 (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)) (/.f64 1 (.f64 (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)))))
(.f64 (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)) (/.f64 (exp.f64 x) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))))))
(.f64 (/.f64 (+.f64 (pow.f64 x 2) (+.f64 x x)) (exp.f64 x)) (/.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (+.f64 (pow.f64 x 2) (+.f64 x x)) (exp.f64 x))))
(.f64 (/.f64 (.f64 (exp.f64 x) -2) (+.f64 x (+.f64 x (pow.f64 x 2)))) -1)
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (/.f64 (exp.f64 x) (.f64 2 (+.f64 x (+.f64 x (pow.f64 x 2))))) 4)
(.f64 (.f64 (exp.f64 x) 4) (/.f64 1/2 (+.f64 x (+.f64 x (pow.f64 x 2)))))
(.f64 4 (.f64 (/.f64 1/2 (+.f64 x (+.f64 x (pow.f64 x 2)))) (exp.f64 x)))
(*.f64 4 (/.f64 (/.f64 (exp.f64 x) 2) (+.f64 (pow.f64 x 2) (+.f64 x x))))
(.f64 (/.f64 -1/2 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (*.f64 (exp.f64 x) -2))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (/.f64 1/2 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x)))) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)))
(.f64 (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)) (/.f64 1/2 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (*.f64 (exp.f64 x) (exp.f64 x))))))
(.f64 (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)) (/.f64 1/2 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 (+.f64 x x))))))
(.f64 (/.f64 (+.f64 (pow.f64 x 2) (+.f64 x x)) (exp.f64 x)) (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (+.f64 (pow.f64 x 2) (+.f64 x x))))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)))) (/.f64 2 (exp.f64 x)))
(.f64 (/.f64 2 (exp.f64 x)) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x)))))
(.f64 (/.f64 2 (exp.f64 x)) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (exp.f64 x) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2))))))))
(*.f64 (/.f64 2 (exp.f64 x)) (/.f64 (exp.f64 x) (/.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (exp.f64 x))))
(/.f64 (/.f64 2 (exp.f64 x)) (/.f64 (/.f64 (+.f64 (pow.f64 x 2) (+.f64 x x)) (exp.f64 x)) (exp.f64 x)))
(.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) 4) 4)
(.f64 (.f64 (exp.f64 x) 4) (/.f64 1/2 (+.f64 x (+.f64 x (pow.f64 x 2)))))
(.f64 4 (.f64 (/.f64 1/2 (+.f64 x (+.f64 x (pow.f64 x 2)))) (exp.f64 x)))
(*.f64 4 (/.f64 (/.f64 (exp.f64 x) 2) (+.f64 (pow.f64 x 2) (+.f64 x x))))
(.f64 (/.f64 1 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) 8)) (.f64 (exp.f64 x) 8))
(.f64 (exp.f64 x) (.f64 8 (/.f64 1 (.f64 8 (+.f64 x (.f64 1/2 (pow.f64 x 2)))))))
(.f64 (exp.f64 x) (.f64 8 (/.f64 1/8 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(.f64 (.f64 (exp.f64 x) 8) (/.f64 1/8 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(.f64 8 (/.f64 (exp.f64 x) (.f64 4 (+.f64 (pow.f64 x 2) (+.f64 x x)))))
(.f64 (/.f64 1 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2)) (.f64 (exp.f64 x) -2))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (/.f64 -1 (+.f64 x (+.f64 x (pow.f64 x 2)))) (.f64 (exp.f64 x) -2))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(pow.f64 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 1)
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(neg.f64 (/.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (neg.f64 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (exp.f64 x))))))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (*.f64 (exp.f64 x) (exp.f64 x)))))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 1 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (exp.f64 (+.f64 x x))))))
(.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (exp.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))) (neg.f64 (exp.f64 x)))
(/.f64 (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 0) (exp.f64 x))
(neg.f64 (/.f64 (*.f64 (exp.f64 x) -2) (+.f64 x (+.f64 x (pow.f64 x 2)))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize135.0ms (1.9%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
✓	0.3b	(*.f64 x 1/12)

Compiler

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 x 1/12)
0.0ms	x	@	0	(*.f64 x 1/12)
0.0ms	x	@	inf	(*.f64 x 1/12)
0.0ms	x	@	inf	(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
0.0ms	x	@	-inf	(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))

rewrite888.0ms (12.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`rational.json-1`
1382×	`rational.json-2`
1382×	`rational.json-4`
1382×	`rational.json-3`
1378×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	80	32
2	180	32
3	359	32
4	788	32
5	2181	32
6	5689	32

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(*.f64 x 1/12)
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/12) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/24) (*.f64 x 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/12) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 1/12) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x 1/12) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x 1/12) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/12) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 x 1/6))) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (/.f64 2 x) (+.f64 1/2 (+.f64 1/2 (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 1/2 (+.f64 (*.f64 x 1/12) 1/2)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (/.f64 1/2 x) (*.f64 1/2 (+.f64 (*.f64 x 1/12) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x 1/24) (/.f64 (+.f64 (/.f64 1 x) 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 (+.f64 (*.f64 x 1/12) 1/2) 4) (/.f64 4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)))))

simplify134.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1806×	`rational.json-simplify-35`
1136×	`rational.json-simplify-2`
1102×	`rational.json-simplify-1`
998×	`rational.json-simplify-59`
830×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	1044
1	200	1044
2	489	1044
3	1420	1044
4	3058	1044
5	3959	1044
6	4319	1044
7	4922	1044
8	6246	1044

Stop Event

1×	node limit

Counts

60 → 48

Calls

Call 1

Inputs
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 (*.f64 x 1/12) 0)
(+.f64 0 (*.f64 x 1/12))
(+.f64 (.f64 x 1/24) (.f64 x 1/24))
(-.f64 (*.f64 x 1/12) 0)
(/.f64 (*.f64 x 1/12) 1)
(/.f64 (*.f64 x 1/6) 2)
(/.f64 (*.f64 x 1/3) 4)
(/.f64 (.f64 (.f64 x 1/12) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 x 1/12) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x 1/12) 8))) 32)
(pow.f64 (*.f64 x 1/12) 1)
(-.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 0)
(.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))
(.f64 1/2 (.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 2))
(.f64 1/2 (+.f64 (+.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (.f64 x 1/6)))
(.f64 1/2 (+.f64 (+.f64 1/2 (+.f64 1/2 (.f64 x 1/6))) (/.f64 2 x)))
(.f64 1/2 (+.f64 (/.f64 2 x) (+.f64 1/2 (+.f64 1/2 (.f64 x 1/6)))))
(.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)
(.f64 2 (.f64 1/2 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))
(.f64 2 (+.f64 (.f64 1/2 (+.f64 (*.f64 x 1/12) 1/2)) (/.f64 1/2 x)))
(.f64 2 (+.f64 (/.f64 1/2 x) (.f64 1/2 (+.f64 (*.f64 x 1/12) 1/2))))
(.f64 2 (+.f64 (.f64 x 1/24) (/.f64 (+.f64 (/.f64 1 x) 1/2) 2)))
(.f64 4 (/.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 4))
(.f64 (.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 2) 1/2)
(.f64 (.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 4))
(.f64 1/4 (+.f64 (.f64 (+.f64 (*.f64 x 1/12) 1/2) 4) (/.f64 4 x)))
(.f64 (.f64 1/2 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) 2)
(.f64 (/.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 4)
(/.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)
(/.f64 (.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 8))) 32)
(pow.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)

Outputs
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(+.f64 (*.f64 x 1/12) 0)
(*.f64 1/12 x)
(+.f64 0 (*.f64 x 1/12))
(*.f64 1/12 x)
(+.f64 (.f64 x 1/24) (.f64 x 1/24))
(*.f64 1/12 x)
(-.f64 (*.f64 x 1/12) 0)
(*.f64 1/12 x)
(/.f64 (*.f64 x 1/12) 1)
(*.f64 1/12 x)
(/.f64 (*.f64 x 1/6) 2)
(*.f64 1/12 x)
(/.f64 (*.f64 x 1/3) 4)
(*.f64 1/12 x)
(/.f64 (.f64 (.f64 x 1/12) 8) 8)
(*.f64 1/12 x)
(/.f64 (.f64 2 (.f64 (*.f64 x 1/12) 8)) 16)
(*.f64 1/12 x)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x 1/12) 8))) 32)
(*.f64 1/12 x)
(pow.f64 (*.f64 x 1/12) 1)
(*.f64 1/12 x)
(-.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 0)
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(.f64 1/2 (.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 2))
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(.f64 1/2 (+.f64 (+.f64 1/2 (+.f64 1/2 (/.f64 2 x))) (.f64 x 1/6)))
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(.f64 1/2 (+.f64 (+.f64 1/2 (+.f64 1/2 (.f64 x 1/6))) (/.f64 2 x)))
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(.f64 1/2 (+.f64 (/.f64 2 x) (+.f64 1/2 (+.f64 1/2 (.f64 x 1/6)))))
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(.f64 2 (.f64 1/2 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(.f64 2 (+.f64 (.f64 1/2 (+.f64 (*.f64 x 1/12) 1/2)) (/.f64 1/2 x)))
(.f64 2 (+.f64 (.f64 1/2 (+.f64 1/2 (*.f64 1/12 x))) (/.f64 1/2 x)))
(.f64 2 (+.f64 (/.f64 1/2 x) (.f64 1/2 (+.f64 (*.f64 x 1/12) 1/2))))
(.f64 2 (+.f64 (.f64 1/2 (+.f64 1/2 (*.f64 1/12 x))) (/.f64 1/2 x)))
(.f64 2 (+.f64 (.f64 x 1/24) (/.f64 (+.f64 (/.f64 1 x) 1/2) 2)))
(.f64 2 (+.f64 (.f64 x 1/24) (/.f64 (+.f64 1 (/.f64 2 x)) 4)))
(.f64 4 (/.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 4))
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(.f64 (.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 2) 1/2)
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(.f64 (.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 1/4)
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(.f64 1/4 (.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 4))
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(.f64 1/4 (+.f64 (.f64 (+.f64 (*.f64 x 1/12) 1/2) 4) (/.f64 4 x)))
(.f64 1/4 (+.f64 (.f64 4 (+.f64 1/2 (*.f64 1/12 x))) (/.f64 4 x)))
(.f64 (.f64 1/2 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) 2)
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(.f64 (/.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 4)
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(/.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(/.f64 (.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 2) 2)
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(/.f64 (.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 4) 4)
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(/.f64 (.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 8) 8)
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 8)) 16)
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 8))) 32)
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))
(pow.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)
(+.f64 (*.f64 1/12 x) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 1/12 x)))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 x) x)

Compiler

Compiled 8 to 3 computations (62.5% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite73.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1200×	`rational.json-1`
1200×	`rational.json-2`
1200×	`rational.json-4`
1200×	`rational.json-3`
1192×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	41	11
2	116	11
3	301	11
4	769	11
5	3220	11

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

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

Outputs

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

simplify266.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1904×	`rational.json-simplify-35`
1244×	`rational.json-simplify-53`
932×	`rational.json-simplify-2`
800×	`rational.json-simplify-41`
704×	`rational.json-simplify-50`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	168	2052
1	360	2032
2	915	1840
3	2518	1840
4	5116	1708

Stop Event

1×	node limit

Counts

82 → 113

Calls

Call 1

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

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

eval524.0ms (7.5%)

Compiler: Compiled 5218 to 3246 computations (37.8% saved)

prune886.0ms (12.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	332	3	335
Fresh	0	1	1
Picked	0	1	1
Done	1	3	4
Total	333	8	341

Error

Counts

341 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.6b	(/.f64 (exp.f64 x) x)
✓	21.9b	(/.f64 1 x)
✓	22.1b	(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
▶	22.1b	(+.f64 1 (/.f64 1 x))
✓	22.0b	(+.f64 1/2 (/.f64 1 x))
▶	22.2b	(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))
▶	40.5b	(*.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) -1/2)
▶	1.6b	(*.f64 (/.f64 1 x) (exp.f64 x))

Compiler

Compiled 58 to 46 computations (20.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1344×	`rational.json-1`
1344×	`rational.json-2`
1344×	`rational.json-4`
1344×	`rational.json-3`
1326×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	63	11
2	148	11
3	313	11
4	683	11
5	2152	11
6	5475	11

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

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

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1544×	`rational.json-simplify-51`
1520×	`rational.json-simplify-35`
1354×	`rational.json-simplify-61`
1184×	`rational.json-simplify-46`
1150×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	924
1	620	924
2	1827	924
3	5986	924

Stop Event

1×	node limit

Counts

80 → 77

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.9b	(+.f64 -1 (exp.f64 (neg.f64 x)))

Compiler

Compiled 31 to 18 computations (41.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1698×	`rational.json-simplify-35`
1160×	`rational.json-simplify-2`
1000×	`exponential.json-3`
1000×	`rational.json-1`
1000×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	59	15
2	144	15
3	314	15
4	638	15
5	1568	15
6	4193	15

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify231.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1394×	`rational.json-simplify-41`
1156×	`rational.json-simplify-35`
1134×	`rational.json-simplify-2`
1080×	`rational.json-simplify-53`
608×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	825
1	224	825
2	468	825
3	1443	823
4	2997	823
5	5512	823
6	6624	823

Stop Event

1×	node limit

Counts

49 → 55

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1 x))))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 0)
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (exp.f64 x)))
(*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1)
(*.f64 1 (+.f64 -1 (exp.f64 (neg.f64 x))))
(*.f64 2 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))
(.f64 2 (.f64 (*.f64 1/2 (-.f64 1 (exp.f64 x))) (exp.f64 (neg.f64 x))))
(*.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) 1/2)
(.f64 (/.f64 2 (exp.f64 x)) (.f64 1/2 (-.f64 1 (exp.f64 x))))
(*.f64 4 (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 4))
(.f64 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 4) 1/4)
(*.f64 1/2 (+.f64 -2 (/.f64 2 (exp.f64 x))))
(.f64 (exp.f64 -1) (.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 (exp.f64 x))))
(.f64 (exp.f64 (-.f64 1 x)) (.f64 (exp.f64 -1) (-.f64 1 (exp.f64 x))))
(*.f64 (-.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) 2)
(.f64 (.f64 1/2 (-.f64 1 (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(.f64 (.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 (exp.f64 x))) (exp.f64 -1))
(.f64 (.f64 (exp.f64 -1) (-.f64 1 (exp.f64 x))) (exp.f64 (-.f64 1 x)))
(.f64 1/4 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 4))
(*.f64 (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 4) 4)
(.f64 (.f64 2 (-.f64 1 (exp.f64 x))) (/.f64 1/2 (exp.f64 x)))
(.f64 (+.f64 (.f64 1/2 (*.f64 2 (neg.f64 (exp.f64 x)))) 1) (exp.f64 (neg.f64 x)))
(.f64 (+.f64 (.f64 1/2 (/.f64 (exp.f64 x) -1/2)) 1) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1)
(/.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) 2)
(/.f64 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 4) 4)
(/.f64 (-.f64 1 (exp.f64 x)) (exp.f64 x))
(/.f64 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8)) 16)
(/.f64 (.f64 1/2 (-.f64 1 (exp.f64 x))) (.f64 (exp.f64 x) 1/2))
(/.f64 (*.f64 (exp.f64 -1) (-.f64 1 (exp.f64 x))) (exp.f64 (+.f64 -1 x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8))) 32)
(/.f64 (.f64 2 (-.f64 1 (exp.f64 x))) (.f64 (exp.f64 x) 2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8)))) 64)
(/.f64 (neg.f64 (-.f64 1 (exp.f64 x))) (neg.f64 (exp.f64 x)))
(pow.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1)

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (neg.f64 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (neg.f64 x) (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (neg.f64 x) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(+.f64 (neg.f64 x) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (+.f64 (neg.f64 x) (.f64 1/2 (pow.f64 x 2))) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1 x))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 (neg.f64 x) (.f64 1/24 (pow.f64 x 4))) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (+.f64 (neg.f64 x) (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (+.f64 (neg.f64 x) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (neg.f64 x) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4)))))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 0)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (exp.f64 x)))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 1 (+.f64 -1 (exp.f64 (neg.f64 x))))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 2 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(.f64 2 (.f64 (*.f64 1/2 (-.f64 1 (exp.f64 x))) (exp.f64 (neg.f64 x))))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) 1/2)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(.f64 (/.f64 2 (exp.f64 x)) (.f64 1/2 (-.f64 1 (exp.f64 x))))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 4 (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 4))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(.f64 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 4) 1/4)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 1/2 (+.f64 -2 (/.f64 2 (exp.f64 x))))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 -1) (.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 (exp.f64 x))))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (-.f64 1 x)) (.f64 (exp.f64 -1) (-.f64 1 (exp.f64 x))))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 (-.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) 2)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(.f64 (.f64 1/2 (-.f64 1 (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(.f64 (.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 (exp.f64 x))) (exp.f64 -1))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(.f64 (.f64 (exp.f64 -1) (-.f64 1 (exp.f64 x))) (exp.f64 (-.f64 1 x)))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(.f64 1/4 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 4))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 4) 4)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(.f64 (.f64 2 (-.f64 1 (exp.f64 x))) (/.f64 1/2 (exp.f64 x)))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(.f64 (+.f64 (.f64 1/2 (*.f64 2 (neg.f64 (exp.f64 x)))) 1) (exp.f64 (neg.f64 x)))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(.f64 (+.f64 (.f64 1/2 (/.f64 (exp.f64 x) -1/2)) 1) (exp.f64 (neg.f64 x)))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) 2)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 4) 4)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 1 (exp.f64 x)) (exp.f64 x))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8) 8)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 (.f64 2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8)) 16)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 (.f64 1/2 (-.f64 1 (exp.f64 x))) (.f64 (exp.f64 x) 1/2))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (exp.f64 -1) (-.f64 1 (exp.f64 x))) (exp.f64 (+.f64 -1 x)))
(*.f64 (-.f64 1 (exp.f64 x)) (/.f64 (exp.f64 -1) (exp.f64 (+.f64 -1 x))))
(*.f64 (exp.f64 -1) (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (exp.f64 -1)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8))) 32)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 (.f64 2 (-.f64 1 (exp.f64 x))) (.f64 (exp.f64 x) 2))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8)))) 64)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 x))) (neg.f64 (exp.f64 x)))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(pow.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1)
(+.f64 -1 (exp.f64 (neg.f64 x)))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))

Compiler

Compiled 27 to 20 computations (25.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite221.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1446×	`rational.json-1`
1446×	`rational.json-2`
1446×	`rational.json-4`
1446×	`rational.json-3`
1442×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	80	25
2	180	25
3	358	25
4	780	25
5	2164	25
6	5821	25

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))

Outputs

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

simplify322.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

4426×	`rational.json-simplify-41`
1520×	`rational.json-simplify-35`
1304×	`rational.json-simplify-49`
1258×	`rational.json-simplify-48`
892×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	770
1	124	746
2	253	746
3	769	746
4	1550	746
5	2597	746
6	3020	746
7	3123	746
8	3185	746
9	3232	746
10	3271	746
11	3308	746
12	3345	746
13	3382	746
14	3419	746
15	3456	746
16	3493	746
17	3530	746
18	3567	746
19	4535	746
20	7789	746
21	7950	746

Stop Event

1×	node limit

Counts

32 → 38

Calls

Call 1

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

Outputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/4 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))
(+.f64 (+.f64 (/.f64 1 x) 1/2) (*.f64 x 1/4))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/4)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/4 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))
(+.f64 (+.f64 (/.f64 1 x) 1/2) (*.f64 x 1/4))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/4)))
(*.f64 1/4 x)
(*.f64 x 1/4)
(+.f64 1/2 (*.f64 1/4 x))
(+.f64 1/2 (*.f64 x 1/4))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/4 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))
(+.f64 (+.f64 (/.f64 1 x) 1/2) (*.f64 x 1/4))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/4)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/4 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))
(+.f64 (+.f64 (/.f64 1 x) 1/2) (*.f64 x 1/4))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/4)))
(*.f64 1/4 x)
(*.f64 x 1/4)
(+.f64 1/2 (*.f64 1/4 x))
(+.f64 1/2 (*.f64 x 1/4))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/4 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))
(+.f64 (+.f64 (/.f64 1 x) 1/2) (*.f64 x 1/4))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/4)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/4 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))
(+.f64 (+.f64 (/.f64 1 x) 1/2) (*.f64 x 1/4))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/4)))
(-.f64 (+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x)))) 0)
(+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))
(.f64 1/2 (+.f64 1/2 (+.f64 1/2 (+.f64 (.f64 1/2 x) (/.f64 2 x)))))
(.f64 1/2 (+.f64 1/2 (+.f64 1/2 (+.f64 (.f64 x 1/2) (/.f64 2 x)))))
(.f64 1/2 (+.f64 (+.f64 (.f64 x 1/2) (/.f64 2 x)) 1))
(.f64 1/2 (+.f64 1 (+.f64 (.f64 x 1/2) (/.f64 2 x))))
(.f64 1/2 (+.f64 (+.f64 1/2 (+.f64 1/2 (.f64 1/2 x))) (/.f64 2 x)))
(.f64 1/2 (+.f64 1/2 (+.f64 1/2 (+.f64 (.f64 x 1/2) (/.f64 2 x)))))
(.f64 1/2 (+.f64 (+.f64 (.f64 x 1/2) (/.f64 2 x)) 1))
(.f64 1/2 (+.f64 1 (+.f64 (.f64 x 1/2) (/.f64 2 x))))
(.f64 1 (+.f64 1/2 (.f64 1/4 (+.f64 x (/.f64 4 x)))))
(+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))
(.f64 1/4 (.f64 (+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x)))) 4))
(+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))
(.f64 (+.f64 1/2 (.f64 1/4 (+.f64 x (/.f64 4 x)))) 1)
(+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))
(.f64 2 (.f64 1/2 (+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))))
(+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))
(.f64 2 (+.f64 (/.f64 1/2 x) (/.f64 (+.f64 1/2 (.f64 x 1/4)) 2)))
(.f64 4 (/.f64 (+.f64 1/2 (.f64 1/4 (+.f64 x (/.f64 4 x)))) 4))
(+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))
(.f64 (+.f64 1/2 (+.f64 1/2 (+.f64 (.f64 1/2 x) (/.f64 2 x)))) 1/2)
(.f64 1/2 (+.f64 1/2 (+.f64 1/2 (+.f64 (.f64 x 1/2) (/.f64 2 x)))))
(.f64 1/2 (+.f64 (+.f64 (.f64 x 1/2) (/.f64 2 x)) 1))
(.f64 1/2 (+.f64 1 (+.f64 (.f64 x 1/2) (/.f64 2 x))))
(.f64 (.f64 (+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x)))) 4) 1/4)
(+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))
(.f64 (.f64 1/2 (+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))) 2)
(+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))
(.f64 (/.f64 (+.f64 1/2 (.f64 1/4 (+.f64 x (/.f64 4 x)))) 4) 4)
(+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))
(/.f64 (+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x)))) 1)
(+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))
(/.f64 (+.f64 1/2 (+.f64 1/2 (+.f64 (*.f64 1/2 x) (/.f64 2 x)))) 2)
(/.f64 (+.f64 1/2 (+.f64 1/2 (+.f64 (*.f64 x 1/2) (/.f64 2 x)))) 2)
(/.f64 (+.f64 (+.f64 (*.f64 x 1/2) (/.f64 2 x)) 1) 2)
(/.f64 (+.f64 1 (+.f64 (*.f64 x 1/2) (/.f64 2 x))) 2)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/4 (+.f64 x (/.f64 4 x)))) 4) 4)
(+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/4 (+.f64 x (/.f64 4 x)))) 8) 8)
(+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))
(/.f64 (.f64 2 (.f64 (+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x)))) 8)) 16)
(+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 1/2 (.f64 1/4 (+.f64 x (/.f64 4 x)))) 8)) (.f64 2 (.f64 (+.f64 1/2 (.f64 1/4 (+.f64 x (/.f64 4 x)))) 8))) 32)
(+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))
(pow.f64 (+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x)))) 1)
(+.f64 1/2 (*.f64 1/4 (+.f64 x (/.f64 4 x))))

localize8.0ms (0.1%)

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

eval38.0ms (0.5%)

Compiler: Compiled 1973 to 1411 computations (28.5% saved)

prune30.0ms (0.4%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	169	9	178

Error

Counts

178 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.6b	(/.f64 (exp.f64 x) x)
✓	21.9b	(/.f64 1 x)
✓	22.1b	(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
✓	22.1b	(+.f64 1 (/.f64 1 x))
✓	22.0b	(+.f64 1/2 (/.f64 1 x))
✓	22.2b	(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))
✓	40.5b	(*.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) -1/2)
✓	1.6b	(*.f64 (/.f64 1 x) (exp.f64 x))
▶	61.8b	(*.f64 x 1/4)

Compiler

Compiled 62 to 49 computations (21% saved)

localize2.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

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

prune3.0ms (0%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	8	8
Total	9	9

Error

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.6b	(/.f64 (exp.f64 x) x)
✓	21.9b	(/.f64 1 x)
✓	22.1b	(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
✓	22.1b	(+.f64 1 (/.f64 1 x))
✓	22.0b	(+.f64 1/2 (/.f64 1 x))
✓	22.2b	(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))
✓	40.5b	(*.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) -1/2)
✓	1.6b	(*.f64 (/.f64 1 x) (exp.f64 x))
✓	61.8b	(*.f64 x 1/4)

Compiler

Compiled 62 to 49 computations (21% saved)

regimes14.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 x 1/4)
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) -1/2)
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))

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

Calls

3 calls:

7.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms	(exp.f64 x)

Results

Error	Segments	Branch
1.3b	1	`x`
1.3b	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))`
1.3b	1	`(exp.f64 x)`

Compiler

Compiled 84 to 57 computations (32.1% saved)

regimes12.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f64 x 1/4)
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 1 x) (exp.f64 x))
(*.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) -1/2)
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

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

Calls

3 calls:

6.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms	(exp.f64 x)

Results

Error	Segments	Branch
1.6b	1	`x`
1.6b	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))`
1.6b	1	`(exp.f64 x)`

Compiler

Compiled 74 to 51 computations (31.1% saved)

regimes7.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 x 1/4)
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
(/.f64 (exp.f64 x) x)

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
1.6b	1	`x`

Compiler

Compiled 41 to 30 computations (26.8% saved)

regimes6.0ms (0.1%)

Accuracy

Total -39.9b remaining (-182%)

Threshold costs -39.9b (-182%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 x 1/4)
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))

Outputs
(/.f64 1 x)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
21.9b	1	`x`

Compiler

Compiled 37 to 28 computations (24.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	71

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 31 to 22 computations (29% saved)

soundness0.0ms (0%)

end29.0ms (0.4%)

Compiler: Compiled 27 to 16 computations (40.7% saved)

Details

analyze112.0ms (1.6%)

sample1.2s (17.6%)

preprocess145.0ms (2.1%)

simplify147.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite91.0ms (1.3%)

simplify125.0ms (1.8%)

eval40.0ms (0.6%)

prune121.0ms (1.7%)

localize12.0ms (0.2%)

series2.0ms (0%)

rewrite742.0ms (10.6%)

simplify134.0ms (1.9%)

localize3.0ms (0%)

localize135.0ms (1.9%)

localize10.0ms (0.1%)

series2.0ms (0%)

rewrite888.0ms (12.6%)

simplify134.0ms (1.9%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite73.0ms (1%)

simplify266.0ms (3.8%)

eval524.0ms (7.5%)

prune886.0ms (12.6%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite79.0ms (1.1%)

simplify77.0ms (1.1%)

localize11.0ms (0.2%)

series0.0ms (0%)

rewrite70.0ms (1%)

simplify231.0ms (3.3%)

localize10.0ms (0.1%)

series0.0ms (0%)

rewrite221.0ms (3.1%)

simplify322.0ms (4.6%)

localize8.0ms (0.1%)

eval38.0ms (0.5%)

prune30.0ms (0.4%)

localize2.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes14.0ms (0.2%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

simplify3.0ms (0%)

soundness0.0ms (0%)

end29.0ms (0.4%)

Profiling