Details

analyze294.0ms (4%)

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)

sample1.8s (23.9%)

Results

1.1s	2735×	body	1024	valid
339.0ms	3928×	body	256	valid
214.0ms	1299×	body	512	valid
87.0ms	294×	body	2048	valid
1.0ms	2×	body	2048	infinite
0.0ms	6×	body	256	unsamplable

Bogosity

preprocess145.0ms (2%)

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)

simplify142.0ms (1.9%)

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
✓	0.0b	(/.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 (1.2%)

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 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(+.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))))))))

simplify122.0ms (1.7%)

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))

eval41.0ms (0.6%)

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

prune29.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	187	7	194
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	188	7	195

Error

0.0b

Counts

195 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.2b	(/.f64 (exp.f64 x) x)
▶	21.3b	(/.f64 1 x)
▶	21.3b	(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
	21.5b	(+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (.f64 (pow.f64 x 3) -1/720) 1/2))
▶	21.5b	(+.f64 1/2 (/.f64 1 x))
▶	41.0b	(*.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) -1/2)
	41.2b	(*.f64 8 (-.f64 (/.f64 1/8 (+.f64 (exp.f64 x) -1)) -1/8))

Compiler

Compiled 124 to 102 computations (17.7% saved)

localize4.0ms (0%)

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)

rewrite77.0ms (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))))))))))

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))))))))))

simplify90.0ms (1.2%)

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))

localize3.0ms (0%)

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

localize5.0ms (0.1%)

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x 1/12) 1/2)
✓	0.0b	(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
✓	0.4b	(*.f64 x 1/12)

Compiler

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite80.0ms (1.1%)

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	45
1	80	45
2	180	45
3	359	45
4	788	45
5	2181	45
6	5689	45

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

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

simplify170.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1596×	`rational.json-simplify-35`
1566×	`rational.json-simplify-2`
1172×	`rational.json-simplify-51`
790×	`rational.json-simplify-59`
778×	`rational.json-simplify-38`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	1410
1	245	1410
2	618	1410
3	1992	1410
4	3832	1410
5	4301	1410
6	4670	1410
7	5205	1410
8	5551	1410
9	6201	1410

Stop Event

1×	node limit

Counts

90 → 67

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
✓	4.7b	(+.f64 -1 (exp.f64 (neg.f64 x)))

Compiler

Compiled 31 to 18 computations (41.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite89.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`rational.json-1`
1740×	`rational.json-2`
1740×	`rational.json-3`
1008×	`rational.json-simplify-35`
912×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	75	36
2	188	36
3	429	36
4	924	36
5	2599	36
6	6831	36

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

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

simplify107.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1908×	`rational.json-simplify-35`
1230×	`rational.json-simplify-39`
1208×	`rational.json-simplify-51`
1020×	`rational.json-simplify-43`
914×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	2646
1	360	2602
2	1378	2570
3	3412	2570
4	6593	2570

Stop Event

1×	node limit

Counts

98 → 120

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 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (.f64 -1/6 x) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1/6 x) (.f64 1/360 (pow.f64 x 3))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 2 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 2 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 2 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 2 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 2 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 2 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 2 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 2 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 0)
(-.f64 0 (-.f64 1 (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 1 (exp.f64 x)))
(*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1)
(*.f64 2 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))
(*.f64 1 (+.f64 -1 (exp.f64 (neg.f64 x))))
(.f64 4 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1/4))
(*.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) 1/2)
(.f64 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 4) 1/4)
(.f64 (/.f64 2 (exp.f64 x)) (.f64 1/2 (-.f64 1 (exp.f64 x))))
(*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1)
(*.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) 2)
(.f64 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8) 1/8)
(*.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 1/4 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 4))
(.f64 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1/4) 4)
(.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 1/8 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8))
(/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1)
(/.f64 2 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(/.f64 1 (/.f64 -1 (-.f64 1 (exp.f64 (neg.f64 x)))))
(/.f64 4 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(/.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) 2)
(/.f64 8 (/.f64 (/.f64 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))) (+.f64 -2 (/.f64 2 (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 4) 4)
(/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1)
(/.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) 1/2)
(/.f64 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8) 8)
(/.f64 1/2 (/.f64 1 (+.f64 -2 (/.f64 2 (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) -2) -2)
(/.f64 (-.f64 1 (exp.f64 x)) (exp.f64 x))
(/.f64 (*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 4) -4)
(/.f64 (.f64 2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8)) 16)
(/.f64 1/4 (/.f64 1/2 (+.f64 -2 (/.f64 2 (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1/4) (/.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 -2 (/.f64 2 (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))) (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (+.f64 -2 (/.f64 2 (exp.f64 x)))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8))) 32)
(/.f64 (*.f64 8 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))) 4)
(pow.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1)
(neg.f64 (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) 0)
(+.f64 0 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 -1 (-.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 -1 (-.f64 1 (exp.f64 (neg.f64 x)))))
(-.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) 0)
(.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 1 (exp.f64 x)) (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))
(.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (/.f64 1 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))
(*.f64 2 (/.f64 -1 (-.f64 1 (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) 1)
(*.f64 1 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(*.f64 4 (/.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) 4))
(.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) (/.f64 1/2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))
(*.f64 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x)))) 1/2)
(.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))
(.f64 (.f64 2 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x))))) 1/4)
(*.f64 1/2 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 1 (exp.f64 (neg.f64 x)))) 2)
(.f64 1/4 (.f64 2 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x))))))
(*.f64 1/4 (/.f64 8 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(.f64 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1/4) (/.f64 4 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))
(*.f64 (/.f64 8 (+.f64 -1 (exp.f64 (neg.f64 x)))) 1/4)
(*.f64 (/.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) 4) 4)
(.f64 (/.f64 1/2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))) (+.f64 -2 (/.f64 2 (exp.f64 x))))
(.f64 (/.f64 (-.f64 1 (exp.f64 x)) (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))) (exp.f64 (neg.f64 x)))
(.f64 (/.f64 4 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))) (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1/4))
(.f64 (/.f64 2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))
(.f64 (/.f64 1 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))) (+.f64 -1 (exp.f64 (neg.f64 x))))
(pow.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) 1)
(neg.f64 (/.f64 2 (-.f64 1 (exp.f64 (neg.f64 x)))))

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 -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 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (neg.f64 x) (+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (neg.f64 x) (*.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 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 -1 (*.f64 2 (/.f64 1 x)))
(-.f64 (.f64 -1/6 x) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 (.f64 x -1/6) (+.f64 1 (.f64 2 (/.f64 1 x))))
(-.f64 -1 (-.f64 (.f64 2 (/.f64 1 x)) (.f64 x -1/6)))
(-.f64 (+.f64 (.f64 -1/6 x) (.f64 1/360 (pow.f64 x 3))) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 x -1/6) (.f64 (pow.f64 x 3) 1/360)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 x -1/6) (-.f64 (.f64 (pow.f64 x 3) 1/360) (+.f64 1 (*.f64 2 (/.f64 1 x)))))
(+.f64 (.f64 x -1/6) (-.f64 -1 (-.f64 (.f64 2 (/.f64 1 x)) (*.f64 (pow.f64 x 3) 1/360))))
(/.f64 2 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(/.f64 2 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(/.f64 2 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(/.f64 2 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(/.f64 2 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(/.f64 2 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(/.f64 2 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(/.f64 2 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 2 (+.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 0 (-.f64 1 (exp.f64 (neg.f64 x))))
(+.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 2 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))
(*.f64 1 (+.f64 -1 (exp.f64 (neg.f64 x))))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(.f64 4 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1/4))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) 1/2)
(*.f64 1/2 (+.f64 -2 (/.f64 2 (exp.f64 x))))
(.f64 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 4) 1/4)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(.f64 (/.f64 2 (exp.f64 x)) (.f64 1/2 (-.f64 1 (exp.f64 x))))
(.f64 1/2 (.f64 (-.f64 1 (exp.f64 x)) (/.f64 2 (exp.f64 x))))
(*.f64 1/2 (-.f64 (/.f64 2 (exp.f64 x)) 2))
(*.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) 2)
(*.f64 2 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))
(.f64 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8) 1/8)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(*.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 -1) (.f64 (-.f64 1 (exp.f64 x)) (exp.f64 (-.f64 1 x))))
(.f64 (exp.f64 (-.f64 1 x)) (.f64 (-.f64 1 (exp.f64 x)) (exp.f64 -1)))
(*.f64 (-.f64 1 (exp.f64 x)) (exp.f64 (+.f64 -1 (-.f64 1 x))))
(.f64 (exp.f64 (-.f64 1 x)) (.f64 (exp.f64 -1) (-.f64 1 (exp.f64 x))))
(.f64 (exp.f64 -1) (.f64 (-.f64 1 (exp.f64 x)) (exp.f64 (-.f64 1 x))))
(.f64 (exp.f64 (-.f64 1 x)) (.f64 (-.f64 1 (exp.f64 x)) (exp.f64 -1)))
(*.f64 (-.f64 1 (exp.f64 x)) (exp.f64 (+.f64 -1 (-.f64 1 x))))
(*.f64 (-.f64 1 (exp.f64 x)) (exp.f64 (neg.f64 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))) 1/4) 4)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(.f64 (.f64 1/2 (-.f64 1 (exp.f64 x))) (/.f64 2 (exp.f64 x)))
(.f64 1/2 (.f64 (-.f64 1 (exp.f64 x)) (/.f64 2 (exp.f64 x))))
(*.f64 1/2 (-.f64 (/.f64 2 (exp.f64 x)) 2))
(.f64 (.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 (exp.f64 x))) (exp.f64 -1))
(.f64 (exp.f64 -1) (.f64 (-.f64 1 (exp.f64 x)) (exp.f64 (-.f64 1 x))))
(.f64 (exp.f64 (-.f64 1 x)) (.f64 (-.f64 1 (exp.f64 x)) (exp.f64 -1)))
(*.f64 (-.f64 1 (exp.f64 x)) (exp.f64 (+.f64 -1 (-.f64 1 x))))
(.f64 (.f64 (exp.f64 -1) (-.f64 1 (exp.f64 x))) (exp.f64 (-.f64 1 x)))
(.f64 (exp.f64 -1) (.f64 (-.f64 1 (exp.f64 x)) (exp.f64 (-.f64 1 x))))
(.f64 (exp.f64 (-.f64 1 x)) (.f64 (-.f64 1 (exp.f64 x)) (exp.f64 -1)))
(*.f64 (-.f64 1 (exp.f64 x)) (exp.f64 (+.f64 -1 (-.f64 1 x))))
(.f64 1/8 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 2 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 1 (/.f64 -1 (-.f64 1 (exp.f64 (neg.f64 x)))))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 4 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) 2)
(/.f64 8 (/.f64 (/.f64 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))) (+.f64 -2 (/.f64 2 (exp.f64 x)))))
(/.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) (/.f64 (*.f64 8 (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))) 8))
(/.f64 (*.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 -2 (/.f64 2 (exp.f64 x)))) (+.f64 -1 (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.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 (neg.f64 x))) -1)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) 1/2)
(*.f64 2 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))
(/.f64 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8) 8)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 1/2 (/.f64 1 (+.f64 -2 (/.f64 2 (exp.f64 x)))))
(/.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) 2)
(/.f64 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) -2) -2)
(+.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))) 4) -4)
(+.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 1/4 (/.f64 1/2 (+.f64 -2 (/.f64 2 (exp.f64 x)))))
(/.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) 2)
(/.f64 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1/4) (/.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 -2 (/.f64 2 (exp.f64 x)))))
(*.f64 1/4 (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (/.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 -2 (/.f64 2 (exp.f64 x))))))
(*.f64 1/4 (/.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) (/.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 -1 (exp.f64 (neg.f64 x))))))
(*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (/.f64 1/4 (/.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 -2 (/.f64 2 (exp.f64 x))))))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))) (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) (+.f64 -2 (/.f64 2 (exp.f64 x)))))
(/.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) (/.f64 (*.f64 8 (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))) 8))
(/.f64 (*.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (+.f64 -2 (/.f64 2 (exp.f64 x)))) (+.f64 -1 (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) (/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 8))) 32)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 8 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))) 4)
(*.f64 2 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))
(pow.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1)
(+.f64 -1 (exp.f64 (neg.f64 x)))
(neg.f64 (-.f64 1 (exp.f64 (neg.f64 x))))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(+.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) 0)
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(+.f64 0 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 -1 (-.f64 1 (exp.f64 (neg.f64 x)))) (/.f64 -1 (-.f64 1 (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) 0)
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 1 (exp.f64 x)) (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))
(*.f64 (exp.f64 (neg.f64 x)) (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (+.f64 -1 (exp.f64 (neg.f64 x)))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))))
(.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (/.f64 1 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))
(*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 (neg.f64 x)))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))))
(/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))))
(*.f64 2 (/.f64 -1 (-.f64 1 (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) 1)
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(*.f64 1 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(*.f64 4 (/.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) 4))
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) (/.f64 1/2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))
(*.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) (/.f64 (/.f64 1/2 (+.f64 -1 (exp.f64 (neg.f64 x)))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))))
(*.f64 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x)))) 1/2)
(*.f64 1/2 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))
(*.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))))
(.f64 (.f64 2 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x))))) 1/4)
(*.f64 1/2 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 1 (exp.f64 (neg.f64 x)))) 2)
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(.f64 1/4 (.f64 2 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x))))))
(*.f64 1/2 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(*.f64 1/4 (/.f64 8 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(*.f64 1/2 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(.f64 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1/4) (/.f64 4 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))
(.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (.f64 1/4 (/.f64 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x)))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))
(.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (.f64 1/4 (/.f64 4 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))))))
(*.f64 (/.f64 8 (+.f64 -1 (exp.f64 (neg.f64 x)))) 1/4)
(*.f64 1/2 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) 4) 4)
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(.f64 (/.f64 1/2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))) (+.f64 -2 (/.f64 2 (exp.f64 x))))
(*.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) (/.f64 (/.f64 1/2 (+.f64 -1 (exp.f64 (neg.f64 x)))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))))
(.f64 (+.f64 -2 (/.f64 2 (exp.f64 x))) (/.f64 1/2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))
(.f64 (/.f64 (-.f64 1 (exp.f64 x)) (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 1 (exp.f64 x)) (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))
(*.f64 (exp.f64 (neg.f64 x)) (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (+.f64 -1 (exp.f64 (neg.f64 x)))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))))
(.f64 (/.f64 4 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))) (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) 1/4))
(.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (.f64 1/4 (/.f64 (/.f64 4 (+.f64 -1 (exp.f64 (neg.f64 x)))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))
(.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (.f64 1/4 (/.f64 4 (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))))))
(.f64 (/.f64 2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))
(.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 2 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))
(*.f64 (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))) (/.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))))
(.f64 (/.f64 1 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))) (+.f64 -1 (exp.f64 (neg.f64 x))))
(.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (/.f64 1 (.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x))))))
(*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (/.f64 (/.f64 -1 (-.f64 1 (exp.f64 (neg.f64 x)))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))))
(/.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (*.f64 (+.f64 -1 (exp.f64 (neg.f64 x))) (+.f64 -1/2 (/.f64 1/2 (exp.f64 x)))))
(pow.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) 1)
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))
(neg.f64 (/.f64 2 (-.f64 1 (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x))))

eval66.0ms (0.9%)

Compiler: Compiled 3934 to 2656 computations (32.5% saved)

prune43.0ms (0.6%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	299	1	300
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	299	8	307

Error

0.0b

Counts

307 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.2b	(/.f64 (exp.f64 x) x)
✓	21.3b	(/.f64 1 x)
✓	21.3b	(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
▶	21.5b	(+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (.f64 (pow.f64 x 3) -1/720) 1/2))
✓	21.5b	(+.f64 1/2 (/.f64 1 x))
✓	41.0b	(*.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) -1/2)
▶	1.2b	(*.f64 (/.f64 1 x) (exp.f64 x))
▶	41.2b	(*.f64 8 (-.f64 (/.f64 1/8 (+.f64 (exp.f64 x) -1)) -1/8))

Compiler

Compiled 69 to 56 computations (18.8% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1/8 (+.f64 (exp.f64 x) -1))
✓	0.0b	(-.f64 (/.f64 1/8 (+.f64 (exp.f64 x) -1)) -1/8)
✓	4.6b	(+.f64 (exp.f64 x) -1)

Compiler

Compiled 36 to 26 computations (27.8% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (/.f64 1/8 (+.f64 (exp.f64 x) -1)) -1/8)
1.0ms	x	@	-inf	(-.f64 (/.f64 1/8 (+.f64 (exp.f64 x) -1)) -1/8)
0.0ms	x	@	-inf	(/.f64 1/8 (+.f64 (exp.f64 x) -1))
0.0ms	x	@	inf	(/.f64 1/8 (+.f64 (exp.f64 x) -1))
0.0ms	x	@	0	(-.f64 (/.f64 1/8 (+.f64 (exp.f64 x) -1)) -1/8)

rewrite82.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1282×	`rational.json-1`
1282×	`rational.json-2`
1282×	`rational.json-3`
1280×	`rational.json-4`
1272×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	77	51
2	174	51
3	383	51
4	789	51
5	2222	51
6	5397	51

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(+.f64 (exp.f64 x) -1)
(-.f64 (/.f64 1/8 (+.f64 (exp.f64 x) -1)) -1/8)
(/.f64 1/8 (+.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 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 1/8 (*.f64 (+.f64 (exp.f64 x) -1) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 x) -1))))) (#(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) 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 1 (exp.f64 x)) -2))))) (#(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 (*.f64 (+.f64 (exp.f64 x) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 x)) -1)))) (#(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 4 (/.f64 (+.f64 (exp.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (exp.f64 x)) -2) 2)))) (#(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 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 x) -1) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/8 (/.f64 -1/8 (-.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 1/4 (/.f64 1/4 (+.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 -2 (-.f64 1 (exp.f64 x))))))) (#(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 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) (/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) (+.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 x)) -1)))) (#(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) 16) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 8 (+.f64 (*.f64 (exp.f64 x) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 16 (+.f64 (*.f64 (exp.f64 x) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 1 (exp.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (exp.f64 x) -1) 32) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 x) -1) 8)) (/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 x) -1) 16)) (+.f64 (*.f64 (exp.f64 x) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/16 (/.f64 1/16 (+.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 -2 (-.f64 1 (exp.f64 x)))) (*.f64 (/.f64 -2 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x)))))))) (#(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 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1/2) (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -7/8 (-.f64 1 (/.f64 1/8 (-.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) (-.f64 1 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 -1/8 (-.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1)))))

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

simplify108.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1570×	`rational.json-simplify-51`
1138×	`rational.json-simplify-53`
1124×	`rational.json-simplify-1`
934×	`rational.json-simplify-2`
546×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	3056
1	448	2792
2	2431	2768
3	4794	2756
4	7691	2756

Stop Event

1×	node limit

Counts

132 → 146

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 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(/.f64 1/8 x)
(+.f64 1/16 (*.f64 1/8 (/.f64 1 x)))
(+.f64 1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/16 (+.f64 (.f64 -1/5760 (pow.f64 x 3)) (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x)))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(/.f64 1/8 x)
(-.f64 (*.f64 1/8 (/.f64 1 x)) 1/16)
(-.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/16)
(-.f64 (+.f64 (.f64 -1/5760 (pow.f64 x 3)) (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x)))) 1/16)
(/.f64 1/8 (-.f64 (exp.f64 x) 1))
(/.f64 1/8 (-.f64 (exp.f64 x) 1))
(/.f64 1/8 (-.f64 (exp.f64 x) 1))
(/.f64 1/8 (-.f64 (exp.f64 x) 1))
(/.f64 1/8 (-.f64 (exp.f64 x) 1))
(/.f64 1/8 (-.f64 (exp.f64 x) 1))
(/.f64 1/8 (-.f64 (exp.f64 x) 1))
(/.f64 1/8 (-.f64 (exp.f64 x) 1))
(-.f64 (exp.f64 x) 1)
(-.f64 (+.f64 (exp.f64 x) -1) 0)
(-.f64 0 (-.f64 1 (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(.f64 1/8 (.f64 (+.f64 (exp.f64 x) -1) 8))
(*.f64 1 (+.f64 (exp.f64 x) -1))
(.f64 1/4 (.f64 (+.f64 (exp.f64 x) -1) 4))
(.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 1/2)
(*.f64 2 (/.f64 (-.f64 1 (exp.f64 x)) -2))
(.f64 1/2 (+.f64 (.f64 (exp.f64 x) 2) -2))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) 1/4)
(*.f64 (-.f64 1 (exp.f64 x)) -1)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 8) 1/8)
(*.f64 4 (/.f64 (+.f64 (exp.f64 x) -1) 4))
(*.f64 (/.f64 (-.f64 1 (exp.f64 x)) -2) 2)
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) 4) 4)
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(/.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 -1 (-.f64 1 (exp.f64 x))))
(/.f64 1/4 (/.f64 1/4 (+.f64 (exp.f64 x) -1)))
(/.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2)
(/.f64 2 (/.f64 -2 (-.f64 1 (exp.f64 x))))
(/.f64 1/2 (/.f64 -1/2 (-.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 4) 4)
(/.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) (/.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) (+.f64 (exp.f64 x) -1)))
(/.f64 (-.f64 1 (exp.f64 x)) -1)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 8) 8)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 16) 16)
(/.f64 4 (/.f64 8 (+.f64 (*.f64 (exp.f64 x) 2) -2)))
(/.f64 8 (/.f64 16 (+.f64 (*.f64 (exp.f64 x) 2) -2)))
(/.f64 (*.f64 2 (-.f64 1 (exp.f64 x))) -2)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 32) 32)
(/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 x) -1) 8)) (/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 x) -1) 16)) (+.f64 (*.f64 (exp.f64 x) 2) -2)))
(/.f64 1/16 (/.f64 1/16 (+.f64 (exp.f64 x) -1)))
(/.f64 (.f64 2 (/.f64 -2 (-.f64 1 (exp.f64 x)))) (.f64 (/.f64 -2 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x)))))
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(neg.f64 (-.f64 1 (exp.f64 x)))
(+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x))))
(+.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 1/8)
(+.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 0)
(+.f64 0 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))))
(+.f64 (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1/2) (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1/2))
(+.f64 -7/8 (-.f64 1 (/.f64 1/8 (-.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) (-.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1)
(*.f64 1 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))))
(.f64 1/4 (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 4))
(.f64 2 (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1/2))
(.f64 (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 2))
(*.f64 4 (/.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 4))
(.f64 (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 4) 1/4)
(.f64 (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1/2) 2)
(*.f64 (-.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 -1/8 (-.f64 1 (exp.f64 x))))
(*.f64 (/.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 4) 4)
(/.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1)
(/.f64 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 2) 2)
(/.f64 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 4) 4)
(/.f64 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 8))) 32)
(pow.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1)
(+.f64 -1 (-.f64 1 (/.f64 1/8 (-.f64 1 (exp.f64 x)))))
(+.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 0)
(+.f64 0 (/.f64 -1/8 (-.f64 1 (exp.f64 x))))
(+.f64 (/.f64 1/16 (+.f64 (exp.f64 x) -1)) (/.f64 1/16 (+.f64 (exp.f64 x) -1)))
(-.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 0)
(-.f64 0 (/.f64 1/8 (-.f64 1 (exp.f64 x))))
(.f64 (+.f64 (exp.f64 x) -1) (/.f64 8 (.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) 64))))
(*.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 1)
(*.f64 1 (/.f64 -1/8 (-.f64 1 (exp.f64 x))))
(.f64 1/4 (.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 4))
(*.f64 2 (/.f64 1/16 (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 1/4 (+.f64 (exp.f64 x) -1)) 1/2)
(*.f64 1/2 (/.f64 1/4 (+.f64 (exp.f64 x) -1)))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 8) (/.f64 1 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 16) (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))))
(.f64 4 (/.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))))
(*.f64 4 (/.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 4))
(.f64 (.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 4) 1/4)
(.f64 8 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) 64))))
(*.f64 (/.f64 1/16 (+.f64 (exp.f64 x) -1)) 2)
(.f64 16 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 64)))))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) 64))) 8)
(.f64 (/.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))) 4)
(*.f64 (/.f64 1/8 (-.f64 1 (exp.f64 x))) -1)
(.f64 (/.f64 1 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))) (.f64 (+.f64 (exp.f64 x) -1) 8))
(.f64 (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))) (.f64 (+.f64 (exp.f64 x) -1) 4))
(.f64 (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))) (.f64 (+.f64 (exp.f64 x) -1) 16))
(.f64 (/.f64 8 (.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) 64))) (+.f64 (exp.f64 x) -1))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 64)))) 16)
(*.f64 (/.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 4) 4)
(pow.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 1)
(neg.f64 (/.f64 1/8 (-.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 1/2 (pow.f64 x 2)) (+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 x (+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))
(+.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 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(/.f64 1/8 x)
(+.f64 1/16 (*.f64 1/8 (/.f64 1 x)))
(+.f64 1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/16 (+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96)))
(+.f64 1/16 (+.f64 (.f64 -1/5760 (pow.f64 x 3)) (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x)))))
(+.f64 1/16 (+.f64 (+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96)) (*.f64 (pow.f64 x 3) -1/5760)))
(+.f64 1/16 (+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 (pow.f64 x 3) -1/5760) (*.f64 x 1/96))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (+.f64 (exp.f64 x) -1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (+.f64 (exp.f64 x) -1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (+.f64 (exp.f64 x) -1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (+.f64 (exp.f64 x) -1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (+.f64 (exp.f64 x) -1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (+.f64 (exp.f64 x) -1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (+.f64 (exp.f64 x) -1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (-.f64 (exp.f64 x) 1))))
(+.f64 1/8 (*.f64 1/8 (/.f64 1 (+.f64 (exp.f64 x) -1))))
(/.f64 1/8 x)
(-.f64 (*.f64 1/8 (/.f64 1 x)) 1/16)
(-.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/16)
(+.f64 (.f64 1/8 (/.f64 1 x)) (-.f64 (.f64 x 1/96) 1/16))
(+.f64 (.f64 x 1/96) (-.f64 (.f64 1/8 (/.f64 1 x)) 1/16))
(-.f64 (+.f64 (.f64 -1/5760 (pow.f64 x 3)) (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x)))) 1/16)
(+.f64 (+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96)) (-.f64 (*.f64 (pow.f64 x 3) -1/5760) 1/16))
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (-.f64 (.f64 x 1/96) 1/16) (*.f64 (pow.f64 x 3) -1/5760)))
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 (pow.f64 x 3) -1/5760) (-.f64 (*.f64 x 1/96) 1/16)))
(/.f64 1/8 (-.f64 (exp.f64 x) 1))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(/.f64 1/8 (-.f64 (exp.f64 x) 1))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(/.f64 1/8 (-.f64 (exp.f64 x) 1))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(/.f64 1/8 (-.f64 (exp.f64 x) 1))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(/.f64 1/8 (-.f64 (exp.f64 x) 1))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(/.f64 1/8 (-.f64 (exp.f64 x) 1))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(/.f64 1/8 (-.f64 (exp.f64 x) 1))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(/.f64 1/8 (-.f64 (exp.f64 x) 1))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(-.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 (exp.f64 x) -1)
(-.f64 0 (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(.f64 1/8 (.f64 (+.f64 (exp.f64 x) -1) 8))
(+.f64 (exp.f64 x) -1)
(*.f64 1 (+.f64 (exp.f64 x) -1))
(+.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) 2) -2) 1/2)
(.f64 1/2 (+.f64 (.f64 2 (exp.f64 x)) -2))
(*.f64 2 (/.f64 (-.f64 1 (exp.f64 x)) -2))
(+.f64 (exp.f64 x) -1)
(.f64 1/2 (+.f64 (.f64 (exp.f64 x) 2) -2))
(.f64 1/2 (+.f64 (.f64 2 (exp.f64 x)) -2))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) 1/4)
(+.f64 (exp.f64 x) -1)
(*.f64 (-.f64 1 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 8) 1/8)
(+.f64 (exp.f64 x) -1)
(*.f64 4 (/.f64 (+.f64 (exp.f64 x) -1) 4))
(+.f64 (exp.f64 x) -1)
(*.f64 (/.f64 (-.f64 1 (exp.f64 x)) -2) 2)
(+.f64 (exp.f64 x) -1)
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) 4) 4)
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(+.f64 (exp.f64 x) -1)
(/.f64 1/8 (/.f64 -1/8 (-.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 1/4 (/.f64 1/4 (+.f64 (exp.f64 x) -1)))
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2)
(/.f64 (+.f64 (*.f64 2 (exp.f64 x)) -2) 2)
(/.f64 2 (/.f64 -2 (-.f64 1 (exp.f64 x))))
(+.f64 (exp.f64 x) -1)
(/.f64 1/2 (/.f64 -1/2 (-.f64 1 (exp.f64 x))))
(+.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) 4) (/.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) (+.f64 (exp.f64 x) -1)))
(+.f64 (exp.f64 x) -1)
(/.f64 (-.f64 1 (exp.f64 x)) -1)
(+.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) 16) 16)
(+.f64 (exp.f64 x) -1)
(/.f64 4 (/.f64 8 (+.f64 (*.f64 (exp.f64 x) 2) -2)))
(/.f64 (+.f64 (*.f64 2 (exp.f64 x)) -2) 2)
(/.f64 8 (/.f64 16 (+.f64 (*.f64 (exp.f64 x) 2) -2)))
(/.f64 (+.f64 (*.f64 2 (exp.f64 x)) -2) 2)
(/.f64 (*.f64 2 (-.f64 1 (exp.f64 x))) -2)
(+.f64 (exp.f64 x) -1)
(/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 32) 32)
(+.f64 (exp.f64 x) -1)
(/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 x) -1) 8)) (/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 x) -1) 16)) (+.f64 (*.f64 (exp.f64 x) 2) -2)))
(/.f64 (+.f64 (.f64 2 (exp.f64 x)) -2) (/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 x) -1) 16)) (neg.f64 (*.f64 (+.f64 (exp.f64 x) -1) 8))))
(/.f64 (+.f64 (.f64 2 (exp.f64 x)) -2) (/.f64 (.f64 (+.f64 (exp.f64 x) -1) -16) (*.f64 (+.f64 (exp.f64 x) -1) -8)))
(/.f64 (.f64 (+.f64 (exp.f64 x) -1) -8) (/.f64 (.f64 (+.f64 (exp.f64 x) -1) -16) (+.f64 (*.f64 2 (exp.f64 x)) -2)))
(/.f64 (+.f64 (.f64 2 (exp.f64 x)) -2) (/.f64 (.f64 (+.f64 (exp.f64 x) -1) 8) (*.f64 4 (+.f64 (exp.f64 x) -1))))
(/.f64 1/16 (/.f64 1/16 (+.f64 (exp.f64 x) -1)))
(+.f64 (exp.f64 x) -1)
(/.f64 (.f64 2 (/.f64 -2 (-.f64 1 (exp.f64 x)))) (.f64 (/.f64 -2 (-.f64 1 (exp.f64 x))) (/.f64 -2 (-.f64 1 (exp.f64 x)))))
(+.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)))
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(+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x))))
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(+.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 1/8)
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(+.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 0)
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(+.f64 0 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))))
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(+.f64 (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1/2) (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1/2))
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(+.f64 -7/8 (-.f64 1 (/.f64 1/8 (-.f64 1 (exp.f64 x)))))
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) (-.f64 1 (-.f64 1 (exp.f64 x))))
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1)
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(*.f64 1 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))))
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(.f64 1/4 (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 4))
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(.f64 2 (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1/2))
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(.f64 (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 2) 1/2)
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(.f64 1/2 (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 2))
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(*.f64 4 (/.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 4))
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(.f64 (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 4) 1/4)
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(.f64 (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1/2) 2)
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(*.f64 (-.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 -1/8 (-.f64 1 (exp.f64 x))))
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 4) 4)
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(/.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1)
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(/.f64 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 2) 2)
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(/.f64 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 4) 4)
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(/.f64 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 8) 8)
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(/.f64 (.f64 2 (.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 8)) 16)
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 8))) 32)
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(pow.f64 (+.f64 1/8 (/.f64 -1/8 (-.f64 1 (exp.f64 x)))) 1)
(+.f64 1/8 (/.f64 1/8 (+.f64 (exp.f64 x) -1)))
(+.f64 -1 (-.f64 1 (/.f64 1/8 (-.f64 1 (exp.f64 x)))))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(+.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 0)
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(+.f64 0 (/.f64 -1/8 (-.f64 1 (exp.f64 x))))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(+.f64 (/.f64 1/16 (+.f64 (exp.f64 x) -1)) (/.f64 1/16 (+.f64 (exp.f64 x) -1)))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(-.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 0)
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(-.f64 0 (/.f64 1/8 (-.f64 1 (exp.f64 x))))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(.f64 (+.f64 (exp.f64 x) -1) (/.f64 8 (.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) 64))))
(.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 8 (+.f64 (exp.f64 x) -1)) (.f64 (+.f64 (exp.f64 x) -1) 64)))
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 1/8 (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 1)
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(*.f64 1 (/.f64 -1/8 (-.f64 1 (exp.f64 x))))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(.f64 1/4 (.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 4))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(*.f64 2 (/.f64 1/16 (+.f64 (exp.f64 x) -1)))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(*.f64 (/.f64 1/4 (+.f64 (exp.f64 x) -1)) 1/2)
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(*.f64 1/2 (/.f64 1/4 (+.f64 (exp.f64 x) -1)))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 4) (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))))
(.f64 (+.f64 (exp.f64 x) -1) (.f64 4 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) 64))))
(.f64 4 (.f64 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) 64)) (+.f64 (exp.f64 x) -1)))
(.f64 4 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64)))))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 8) (/.f64 1 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 8) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) 64)))
(*.f64 8 (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) 64))
(*.f64 8 (/.f64 1/64 (+.f64 (exp.f64 x) -1)))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 16) (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))))
(*.f64 16 (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) 128))
(.f64 16 (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 256)))
(.f64 4 (/.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))))
(.f64 4 (/.f64 (+.f64 (.f64 2 (exp.f64 x)) -2) (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))))
(*.f64 4 (/.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 4))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(.f64 (.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 4) 1/4)
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(.f64 8 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) 64))))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 8) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) 64)))
(*.f64 8 (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) 64))
(*.f64 8 (/.f64 1/64 (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 1/16 (+.f64 (exp.f64 x) -1)) 2)
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(.f64 16 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 64)))))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 16) (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))))
(*.f64 16 (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) 128))
(.f64 16 (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 256)))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) 64))) 8)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 8) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) 64)))
(*.f64 8 (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) 64))
(*.f64 8 (/.f64 1/64 (+.f64 (exp.f64 x) -1)))
(.f64 (/.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))) 4)
(.f64 4 (/.f64 (+.f64 (.f64 2 (exp.f64 x)) -2) (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))))
(*.f64 (/.f64 1/8 (-.f64 1 (exp.f64 x))) -1)
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(.f64 (/.f64 1 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))) (.f64 (+.f64 (exp.f64 x) -1) 8))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 8) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) 64)))
(*.f64 8 (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) 64))
(*.f64 8 (/.f64 1/64 (+.f64 (exp.f64 x) -1)))
(.f64 (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))) (.f64 (+.f64 (exp.f64 x) -1) 4))
(.f64 (+.f64 (exp.f64 x) -1) (.f64 4 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) 64))))
(.f64 4 (.f64 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) 64)) (+.f64 (exp.f64 x) -1)))
(.f64 4 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64)))))
(.f64 (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))) (.f64 (+.f64 (exp.f64 x) -1) 16))
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 16) (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))))
(*.f64 16 (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) 128))
(.f64 16 (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 256)))
(.f64 (/.f64 8 (.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) 64))) (+.f64 (exp.f64 x) -1))
(.f64 (+.f64 (exp.f64 x) -1) (/.f64 8 (.f64 (+.f64 (exp.f64 x) -1) (*.f64 (+.f64 (exp.f64 x) -1) 64))))
(.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 8 (+.f64 (exp.f64 x) -1)) (.f64 (+.f64 (exp.f64 x) -1) 64)))
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 1/8 (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1)))
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 64)))) 16)
(.f64 (.f64 (+.f64 (exp.f64 x) -1) 16) (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) 64))))
(*.f64 16 (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) 128))
(.f64 16 (/.f64 2 (.f64 (+.f64 (exp.f64 x) -1) 256)))
(*.f64 (/.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 4) 4)
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(pow.f64 (/.f64 -1/8 (-.f64 1 (exp.f64 x))) 1)
(/.f64 1/8 (+.f64 (exp.f64 x) -1))
(neg.f64 (/.f64 1/8 (-.f64 1 (exp.f64 x))))
(/.f64 1/8 (+.f64 (exp.f64 x) -1))

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))

rewrite89.0ms (1.2%)

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%)

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)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (.f64 (pow.f64 x 3) -1/720) 1/2))
✓	0.0b	(+.f64 (/.f64 1 x) (*.f64 x 1/12))
✓	0.1b	(*.f64 (pow.f64 x 3) -1/720)
	0.4b	(*.f64 x 1/12)

Compiler

Compiled 50 to 39 computations (22% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 (pow.f64 x 3) -1/720)
0.0ms	x	@	inf	(*.f64 (pow.f64 x 3) -1/720)
0.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) -1/720)
0.0ms	x	@	inf	(+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (.f64 (pow.f64 x 3) -1/720) 1/2))
0.0ms	x	@	-inf	(+.f64 (/.f64 1 x) (*.f64 x 1/12))

rewrite90.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1520×	`rational.json-1`
1520×	`rational.json-2`
1520×	`rational.json-4`
1520×	`rational.json-3`
1516×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	112	75
2	235	75
3	499	75
4	1176	75
5	2793	75
6	5963	75

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 3) -1/720)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (.f64 (pow.f64 x 3) -1/720) 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -1/720) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 3) -1/720))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -1/1440) (*.f64 (pow.f64 x 3) -1/1440))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 3) -1/720) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) -1/720) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) -1/360) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) -1/180) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 3) -1/180)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) -1/180))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) -1/180))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) -1/180)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -1/720) 1)))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) (*.f64 (pow.f64 x 3) -1/360)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 (pow.f64 x 3) -1/360))) (*.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 2) (+.f64 1/2 (+.f64 1/2 (*.f64 (pow.f64 x 3) -1/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) -1/720) 1/2)) (*.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 1/2) (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) -1/720) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (pow.f64 x 3) -1/1440) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 8)) (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 1)))))

simplify137.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational.json-simplify-2`
1130×	`rational.json-simplify-35`
908×	`rational.json-simplify-19`
884×	`rational.json-simplify-1`
858×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	2457
1	330	2457
2	775	2457
3	2246	2457
4	3889	2457
5	5916	2457
6	7257	2457

Stop Event

1×	node limit

Counts

99 → 87

Calls

Call 1

Inputs
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(*.f64 1/12 x)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(*.f64 1/12 x)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 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 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (*.f64 (pow.f64 x 3) -1/720) 0)
(+.f64 0 (*.f64 (pow.f64 x 3) -1/720))
(+.f64 (.f64 (pow.f64 x 3) -1/1440) (.f64 (pow.f64 x 3) -1/1440))
(-.f64 (*.f64 (pow.f64 x 3) -1/720) 0)
(/.f64 (*.f64 (pow.f64 x 3) -1/720) 1)
(/.f64 (*.f64 (pow.f64 x 3) -1/360) 2)
(/.f64 (*.f64 (pow.f64 x 3) -1/180) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) -1/180)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) -1/180))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) -1/180))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) -1/180)))) 32)
(pow.f64 (*.f64 (pow.f64 x 3) -1/720) 1)
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 0)
(.f64 x (+.f64 1/12 (/.f64 1 (.f64 x x))))
(.f64 x (+.f64 (/.f64 1 (.f64 x x)) 1/12))
(.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 1)
(.f64 1/2 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 2))
(.f64 1/2 (+.f64 (.f64 x 1/6) (/.f64 2 x)))
(.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x 1/6)))
(.f64 2 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 1/2))
(.f64 2 (+.f64 (.f64 x 1/24) (/.f64 1/2 x)))
(.f64 2 (+.f64 (/.f64 1/2 x) (.f64 x 1/24)))
(.f64 (+.f64 x x) (+.f64 1/24 (/.f64 1/2 (.f64 x x))))
(.f64 4 (/.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 4))
(.f64 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 2) 1/2)
(.f64 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 4))
(.f64 1/4 (+.f64 (.f64 x 1/3) (/.f64 4 x)))
(.f64 (.f64 x 1/2) (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(.f64 (.f64 x 1/2) (+.f64 (/.f64 2 (*.f64 x x)) 1/6))
(.f64 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 1/2) 2)
(.f64 (/.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 4) 4)
(/.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 1)
(/.f64 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 2) 2)
(/.f64 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 4) 4)
(/.f64 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 8)) (.f64 2 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 8))) 32)
(pow.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 1)
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 0)
(.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))))
(.f64 1/2 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 2))
(.f64 1/2 (+.f64 (.f64 2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) (.f64 (pow.f64 x 3) -1/360)))
(.f64 1/2 (+.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (pow.f64 x 3) -1/360))) (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 2)))
(.f64 1/2 (+.f64 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 2) (+.f64 1/2 (+.f64 1/2 (.f64 (pow.f64 x 3) -1/360)))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 1)
(.f64 2 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2)))))
(.f64 2 (+.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/720) 1/2)) (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 1/2)))
(.f64 2 (+.f64 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 1/2) (.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) -1/720) 1/2))))
(.f64 2 (+.f64 (.f64 (pow.f64 x 3) -1/1440) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2)) 2)))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 4))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 4))
(.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2)))) 2)
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 4) 4)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 1)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 8)) (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 8))) 32)
(pow.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 1)

Outputs
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(/.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 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 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (*.f64 (pow.f64 x 3) -1/720) 0)
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 0 (*.f64 (pow.f64 x 3) -1/720))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) -1/1440) (.f64 (pow.f64 x 3) -1/1440))
(*.f64 -1/720 (pow.f64 x 3))
(-.f64 (*.f64 (pow.f64 x 3) -1/720) 0)
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) -1/720) 1)
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) -1/360) 2)
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) -1/180) 4)
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) -1/180)) 8)
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) -1/180))) 16)
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) -1/180))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) -1/180)))) 32)
(*.f64 -1/720 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) -1/720) 1)
(*.f64 -1/720 (pow.f64 x 3))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 0)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(.f64 x (+.f64 1/12 (/.f64 1 (.f64 x x))))
(.f64 x (+.f64 (/.f64 1 (.f64 x x)) 1/12))
(.f64 x (+.f64 1/12 (/.f64 1 (.f64 x x))))
(.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 1)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 2))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(.f64 1/2 (+.f64 (.f64 x 1/6) (/.f64 2 x)))
(.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x 1/6)))
(.f64 1/2 (+.f64 (/.f64 2 x) (.f64 x 1/6)))
(.f64 1/2 (+.f64 (.f64 x 1/6) (/.f64 2 x)))
(.f64 2 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 1/2))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(.f64 2 (+.f64 (.f64 x 1/24) (/.f64 1/2 x)))
(.f64 2 (+.f64 (/.f64 1/2 x) (.f64 x 1/24)))
(.f64 2 (+.f64 (.f64 x 1/24) (/.f64 1/2 x)))
(.f64 (+.f64 x x) (+.f64 1/24 (/.f64 1/2 (.f64 x x))))
(.f64 4 (/.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 4))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(.f64 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 2) 1/2)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(.f64 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 4) 1/4)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(.f64 1/4 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 4))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(.f64 1/4 (+.f64 (.f64 x 1/3) (/.f64 4 x)))
(.f64 (.f64 x 1/2) (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(.f64 x (.f64 1/2 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))
(.f64 x (.f64 1/2 (+.f64 1/6 (/.f64 (/.f64 2 x) x))))
(.f64 (.f64 x 1/2) (+.f64 (/.f64 2 (*.f64 x x)) 1/6))
(.f64 (.f64 x 1/2) (+.f64 1/6 (/.f64 2 (*.f64 x x))))
(.f64 x (.f64 1/2 (+.f64 1/6 (/.f64 2 (*.f64 x x)))))
(.f64 x (.f64 1/2 (+.f64 1/6 (/.f64 (/.f64 2 x) x))))
(.f64 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 1/2) 2)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(.f64 (/.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 4) 4)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 1)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(/.f64 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 2) 2)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(/.f64 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 4) 4)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(/.f64 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 8) 8)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 8)) 16)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 8)) (.f64 2 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 8))) 32)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(pow.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 1)
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 0)
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(.f64 1/2 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 2))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(.f64 1/2 (+.f64 (.f64 2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) (.f64 (pow.f64 x 3) -1/360)))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(.f64 1/2 (+.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (pow.f64 x 3) -1/360))) (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 2)))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(.f64 1/2 (+.f64 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 2) (+.f64 1/2 (+.f64 1/2 (.f64 (pow.f64 x 3) -1/360)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 1)
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(.f64 2 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(.f64 2 (+.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/720) 1/2)) (.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 1/2)))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(.f64 2 (+.f64 (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 1/2) (.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) -1/720) 1/2))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(.f64 2 (+.f64 (.f64 (pow.f64 x 3) -1/1440) (/.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2)) 2)))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 2) 1/2)
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(.f64 4 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 4))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 4) 1/4)
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(.f64 1/4 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 4))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(.f64 (.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2)))) 2)
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 4) 4)
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 1)
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 2) 2)
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 4) 4)
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))) 8) 8)
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 8)) 16)
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 8)) (.f64 2 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 8))) 32)
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(pow.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2))) 1)
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (.f64 x 1/12) 1/2) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))

eval94.0ms (1.3%)

Compiler: Compiled 4832 to 3791 computations (21.5% saved)

prune45.0ms (0.6%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	319	3	322
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	319	11	330

Error

Counts

330 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.2b	(/.f64 (exp.f64 x) x)
✓	21.3b	(/.f64 1 x)
✓	21.3b	(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
✓	21.5b	(+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (.f64 (pow.f64 x 3) -1/720) 1/2))
▶	40.6b	(+.f64 (.f64 x (+.f64 (/.f64 1 (.f64 x x)) 1/12)) (+.f64 (*.f64 (pow.f64 x 3) -1/720) 1/2))
✓	21.5b	(+.f64 1/2 (/.f64 1 x))
✓	41.0b	(*.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) -1/2)
✓	1.2b	(*.f64 (/.f64 1 x) (exp.f64 x))
▶	21.3b	(*.f64 8 (/.f64 1/8 x))
✓	41.2b	(*.f64 8 (-.f64 (/.f64 1/8 (+.f64 (exp.f64 x) -1)) -1/8))
▶	21.3b	(.f64 8 (-.f64 (-.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 1/16) -1/8))

Compiler

Compiled 109 to 89 computations (18.3% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x)))
✓	0.0b	(-.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/16)
✓	0.0b	(-.f64 (-.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/16) -1/8)
✓	0.4b	(*.f64 1/96 x)

Compiler

Compiled 67 to 55 computations (17.9% saved)

series2.0ms (0%)

Counts

4 → 21

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 1/96 x)
0.0ms	x	@	-inf	(*.f64 1/96 x)
0.0ms	x	@	0	(*.f64 1/96 x)
0.0ms	x	@	inf	(-.f64 (-.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/16) -1/8)
0.0ms	x	@	inf	(+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x)))

rewrite85.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`exponential.json-3`
1234×	`rational.json-1`
1234×	`rational.json-2`
1234×	`rational.json-4`
1234×	`rational.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	106	100
2	223	100
3	451	100
4	990	94
5	2355	94
6	5182	94

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

Inputs
(*.f64 1/96 x)
(-.f64 (-.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/16) -1/8)
(-.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/16)
(+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/96 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/96 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 1/192) (.f64 x 1/192))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/96 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/96 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 1/48) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 1/24) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1/96 x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 1/96 x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/96 x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/96 x) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/8 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 1/96 x) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/96 x) (+.f64 1/8 (.f64 1/8 (/.f64 1 x)))) -1/16)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/96 x) -1/16) (+.f64 1/8 (.f64 1/8 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1/8 (.f64 1/8 (/.f64 1 x))) (+.f64 (.f64 1/96 x) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16) (+.f64 (.f64 1/96 x) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/96 x) 1/8) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/16 (+.f64 (.f64 1/96 x) (+.f64 1/8 (.f64 1/8 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/96 x) 1/16) (.f64 1/8 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16) (.f64 1/96 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 1/2) (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1/2) (-.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1/2) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 1/96 x) -1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) -1/16)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/96 x) -1/16) (.f64 1/8 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16) (.f64 1/96 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1/2) (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/2) (-.f64 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/2) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 1/8 (/.f64 1/2 x)) (/.f64 (+.f64 (.f64 1/96 x) -1/16) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (/.f64 1/4 x) (.f64 2 (+.f64 (.f64 1/96 x) -1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 x 1/192) (.f64 1/8 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/96 x) (/.f64 1/4 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/96 x) (/.f64 1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 x 1/48) (/.f64 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (+.f64 (.f64 x 1/24) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/96 x) (/.f64 1/4 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1)))))

simplify231.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2366×	`rational.json-simplify-51`
2052×	`rational.json-simplify-35`
1266×	`rational.json-simplify-29`
1072×	`rational.json-simplify-61`
1040×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	172	3039
1	340	2991
2	888	2991
3	2508	2991
4	3410	2991
5	3681	2991
6	3871	2991
7	4071	2991
8	4395	2991
9	6472	2991
10	7650	2991

Stop Event

1×	node limit

Counts

117 → 124

Calls

Call 1

Inputs
(/.f64 1/8 x)
(+.f64 1/16 (*.f64 1/8 (/.f64 1 x)))
(+.f64 1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))
(*.f64 1/96 x)
(+.f64 1/16 (*.f64 1/96 x))
(+.f64 1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))
(*.f64 1/96 x)
(+.f64 1/16 (*.f64 1/96 x))
(+.f64 1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))
(/.f64 1/8 x)
(-.f64 (*.f64 1/8 (/.f64 1 x)) 1/16)
(*.f64 1/96 x)
(-.f64 (*.f64 1/96 x) 1/16)
(*.f64 1/96 x)
(-.f64 (*.f64 1/96 x) 1/16)
(/.f64 1/8 x)
(*.f64 1/96 x)
(*.f64 1/96 x)
(+.f64 (*.f64 1/96 x) 0)
(+.f64 0 (*.f64 1/96 x))
(+.f64 (.f64 x 1/192) (.f64 x 1/192))
(-.f64 (*.f64 1/96 x) 0)
(/.f64 (*.f64 1/96 x) 1)
(/.f64 (*.f64 x 1/48) 2)
(/.f64 (*.f64 x 1/24) 4)
(/.f64 (.f64 (.f64 1/96 x) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 1/96 x) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/96 x) 8))) 32)
(pow.f64 (*.f64 1/96 x) 1)
(+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16))
(+.f64 1/8 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)))
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 1/96 x) 1/16))
(+.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/16)
(+.f64 1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1/8)
(+.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 0)
(+.f64 0 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)))
(+.f64 (+.f64 (.f64 1/96 x) (+.f64 1/8 (.f64 1/8 (/.f64 1 x)))) -1/16)
(+.f64 (+.f64 (.f64 1/96 x) -1/16) (+.f64 1/8 (.f64 1/8 (/.f64 1 x))))
(+.f64 (+.f64 1/8 (.f64 1/8 (/.f64 1 x))) (+.f64 (.f64 1/96 x) -1/16))
(+.f64 (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16) (+.f64 (.f64 1/96 x) 1/8))
(+.f64 (+.f64 (.f64 1/96 x) 1/8) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16))
(+.f64 -1/16 (+.f64 (.f64 1/96 x) (+.f64 1/8 (.f64 1/8 (/.f64 1 x)))))
(+.f64 (+.f64 (.f64 1/96 x) 1/16) (.f64 1/8 (/.f64 1 x)))
(+.f64 (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16) (.f64 1/96 x))
(+.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 1/2) (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 1/2))
(+.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1/2) (-.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1/2) -1/8))
(.f64 1 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) 1/16)))
(.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) 1/16)) 1)
(.f64 2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 1/2))
(.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) 1/16)) 4))
(.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 2))
(.f64 1/4 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 4))
(.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 1/2) 2)
(.f64 (/.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) 1/16)) 4) 4)
(/.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 1)
(/.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) 1/16)) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) 1/16)) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) 1/16)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) 1/16)) 8))) 32)
(pow.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 1)
(+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16))
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 1/96 x) -1/16))
(+.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) -1/16)
(+.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 0)
(+.f64 0 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)))
(+.f64 (+.f64 (.f64 1/96 x) -1/16) (.f64 1/8 (/.f64 1 x)))
(+.f64 (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16) (.f64 1/96 x))
(+.f64 -1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1/2) (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1/2))
(+.f64 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/2) (-.f64 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/2) 1/16))
(.f64 1 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) -1/16)))
(.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) -1/16)) 1)
(.f64 2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1/2))
(.f64 2 (+.f64 (.f64 1/8 (/.f64 1/2 x)) (/.f64 (+.f64 (*.f64 1/96 x) -1/16) 2)))
(.f64 4 (/.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) -1/16)) 4))
(.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 2) 1/2)
(.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 2))
(.f64 1/2 (+.f64 (/.f64 1/4 x) (.f64 2 (+.f64 (*.f64 1/96 x) -1/16))))
(.f64 1/4 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 4))
(.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1/2) 2)
(.f64 (/.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) -1/16)) 4) 4)
(/.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1)
(/.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) -1/16)) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) -1/16)) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) -1/16)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) -1/16)) 8))) 32)
(pow.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1)
(-.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 0)
(.f64 1 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))))
(.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 1)
(.f64 2 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/2))
(.f64 2 (+.f64 (.f64 x 1/192) (*.f64 1/8 (/.f64 1/2 x))))
(.f64 4 (/.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 4))
(.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/96 x) (/.f64 1/4 x))) 1/2)
(.f64 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 4) 1/4)
(.f64 1/2 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/96 x) (/.f64 1/4 x))))
(.f64 1/2 (+.f64 (.f64 x 1/48) (/.f64 1/4 x)))
(.f64 1/4 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 4))
(.f64 1/4 (+.f64 (.f64 x 1/24) (/.f64 1/2 x)))
(.f64 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/2) 2)
(.f64 (/.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 4) 4)
(/.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1)
(/.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/96 x) (/.f64 1/4 x))) 2)
(/.f64 (.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 8))) 32)
(pow.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1)

Outputs
(/.f64 1/8 x)
(+.f64 1/16 (*.f64 1/8 (/.f64 1 x)))
(+.f64 1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/16 (+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96)))
(+.f64 1/16 (.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x))))
(+.f64 1/16 (.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12))))
(+.f64 1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/16 (+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96)))
(+.f64 1/16 (.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x))))
(+.f64 1/16 (.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12))))
(*.f64 1/96 x)
(*.f64 x 1/96)
(+.f64 1/16 (*.f64 1/96 x))
(+.f64 1/16 (*.f64 x 1/96))
(+.f64 1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/16 (+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96)))
(+.f64 1/16 (.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x))))
(+.f64 1/16 (.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12))))
(+.f64 1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/16 (+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96)))
(+.f64 1/16 (.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x))))
(+.f64 1/16 (.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12))))
(*.f64 1/96 x)
(*.f64 x 1/96)
(+.f64 1/16 (*.f64 1/96 x))
(+.f64 1/16 (*.f64 x 1/96))
(+.f64 1/16 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))))
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(+.f64 1/16 (.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x))))
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(+.f64 1/16 (.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x))))
(+.f64 1/16 (.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12))))
(/.f64 1/8 x)
(-.f64 (*.f64 1/8 (/.f64 1 x)) 1/16)
(+.f64 (*.f64 1/8 (/.f64 1 x)) -1/16)
(*.f64 1/96 x)
(*.f64 x 1/96)
(-.f64 (*.f64 1/96 x) 1/16)
(-.f64 (*.f64 x 1/96) 1/16)
(+.f64 (*.f64 x 1/96) -1/16)
(*.f64 1/96 x)
(*.f64 x 1/96)
(-.f64 (*.f64 1/96 x) 1/16)
(-.f64 (*.f64 x 1/96) 1/16)
(+.f64 (*.f64 x 1/96) -1/16)
(/.f64 1/8 x)
(*.f64 1/96 x)
(*.f64 x 1/96)
(*.f64 1/96 x)
(*.f64 x 1/96)
(+.f64 (*.f64 1/96 x) 0)
(*.f64 x 1/96)
(+.f64 0 (*.f64 1/96 x))
(*.f64 x 1/96)
(+.f64 (.f64 x 1/192) (.f64 x 1/192))
(*.f64 x 1/96)
(-.f64 (*.f64 1/96 x) 0)
(*.f64 x 1/96)
(/.f64 (*.f64 1/96 x) 1)
(*.f64 x 1/96)
(/.f64 (*.f64 x 1/48) 2)
(*.f64 x 1/96)
(/.f64 (*.f64 x 1/24) 4)
(*.f64 x 1/96)
(/.f64 (.f64 (.f64 1/96 x) 8) 8)
(*.f64 x 1/96)
(/.f64 (.f64 2 (.f64 (*.f64 1/96 x) 8)) 16)
(*.f64 x 1/96)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/96 x) 8))) 32)
(*.f64 x 1/96)
(pow.f64 (*.f64 1/96 x) 1)
(*.f64 x 1/96)
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(.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) 1/16)) 1)
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(/.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) 1/16)) 8) 8)
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(+.f64 1/16 (.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x))))
(+.f64 1/16 (.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) 1/16)) 8)) 16)
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(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) 1/16)) 8))) 32)
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(.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) -1/16)) 1)
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(.f64 2 (+.f64 (.f64 1/8 (/.f64 1/2 x)) (/.f64 (+.f64 (*.f64 1/96 x) -1/16) 2)))
(.f64 2 (+.f64 (.f64 1/8 (/.f64 1/2 x)) (/.f64 (+.f64 (*.f64 x 1/96) -1/16) 2)))
(.f64 4 (/.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) -1/16)) 4))
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 x 1/96) -1/16))
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(.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 2) 1/2)
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 x 1/96) -1/16))
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(.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 4) 1/4)
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 x 1/96) -1/16))
(+.f64 (.f64 x 1/96) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16))
(.f64 1/2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 2))
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 x 1/96) -1/16))
(+.f64 (.f64 x 1/96) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16))
(.f64 1/2 (+.f64 (/.f64 1/4 x) (.f64 2 (+.f64 (*.f64 1/96 x) -1/16))))
(.f64 1/2 (+.f64 (/.f64 1/4 x) (.f64 2 (+.f64 (*.f64 x 1/96) -1/16))))
(.f64 1/4 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 4))
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 x 1/96) -1/16))
(+.f64 (.f64 x 1/96) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16))
(.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1/2) 2)
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 x 1/96) -1/16))
(+.f64 (.f64 x 1/96) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16))
(.f64 (/.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) -1/16)) 4) 4)
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 x 1/96) -1/16))
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(/.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1)
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(/.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) -1/16)) 2) 2)
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 x 1/96) -1/16))
(+.f64 (.f64 x 1/96) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16))
(/.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) -1/16)) 4) 4)
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 x 1/96) -1/16))
(+.f64 (.f64 x 1/96) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16))
(/.f64 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) -1/16)) 8) 8)
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 x 1/96) -1/16))
(+.f64 (.f64 x 1/96) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 8)) 16)
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 x 1/96) -1/16))
(+.f64 (.f64 x 1/96) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/8 (/.f64 1 x)) -1/16)) 8))) 32)
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 x 1/96) -1/16))
(+.f64 (.f64 x 1/96) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16))
(pow.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16)) 1)
(+.f64 (.f64 1/8 (/.f64 1 x)) (+.f64 (.f64 x 1/96) -1/16))
(+.f64 (.f64 x 1/96) (+.f64 (.f64 1/8 (/.f64 1 x)) -1/16))
(-.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 0)
(+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96))
(.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x)))
(.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(.f64 1 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))))
(+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96))
(.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x)))
(.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 1)
(+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96))
(.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x)))
(.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(.f64 2 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1/2))
(+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96))
(.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x)))
(.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(.f64 2 (+.f64 (.f64 x 1/192) (*.f64 1/8 (/.f64 1/2 x))))
(.f64 4 (/.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 4))
(+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96))
(.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x)))
(.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(.f64 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/96 x) (/.f64 1/4 x))) 1/2)
(.f64 1/2 (+.f64 (.f64 x 1/96) (+.f64 (*.f64 x 1/96) (/.f64 1/4 x))))
(.f64 1/2 (+.f64 (/.f64 1/4 x) (.f64 x 1/48)))
(.f64 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 4) 1/4)
(+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96))
(.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x)))
(.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(.f64 1/2 (+.f64 (.f64 1/96 x) (+.f64 (*.f64 1/96 x) (/.f64 1/4 x))))
(.f64 1/2 (+.f64 (.f64 x 1/96) (+.f64 (*.f64 x 1/96) (/.f64 1/4 x))))
(.f64 1/2 (+.f64 (/.f64 1/4 x) (.f64 x 1/48)))
(.f64 1/2 (+.f64 (.f64 x 1/48) (/.f64 1/4 x)))
(.f64 1/2 (+.f64 (.f64 x 1/96) (+.f64 (*.f64 x 1/96) (/.f64 1/4 x))))
(.f64 1/2 (+.f64 (/.f64 1/4 x) (.f64 x 1/48)))
(.f64 1/4 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 4))
(+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96))
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(.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(.f64 1/4 (+.f64 (.f64 x 1/24) (/.f64 1/2 x)))
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(.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x)))
(.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(.f64 (/.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 4) 4)
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(.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x)))
(.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(/.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1)
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(.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x)))
(.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(/.f64 (+.f64 (.f64 1/96 x) (+.f64 (.f64 1/96 x) (/.f64 1/4 x))) 2)
(/.f64 (+.f64 (.f64 x 1/96) (+.f64 (.f64 x 1/96) (/.f64 1/4 x))) 2)
(/.f64 (+.f64 (/.f64 1/4 x) (*.f64 x 1/48)) 2)
(/.f64 (.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 4) 4)
(+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96))
(.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x)))
(.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(/.f64 (.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 8) 8)
(+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96))
(.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x)))
(.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 8)) 16)
(+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96))
(.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x)))
(.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 8))) 32)
(+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96))
(.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x)))
(.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(pow.f64 (+.f64 (.f64 1/96 x) (.f64 1/8 (/.f64 1 x))) 1)
(+.f64 (.f64 1/8 (/.f64 1 x)) (.f64 x 1/96))
(.f64 1/8 (+.f64 (.f64 x 1/12) (/.f64 1 x)))
(.f64 1/8 (+.f64 (/.f64 1 x) (.f64 x 1/12)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 8 (/.f64 1/8 x))

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 8 (/.f64 1/8 x))
0.0ms	x	@	-inf	(*.f64 8 (/.f64 1/8 x))
0.0ms	x	@	inf	(*.f64 8 (/.f64 1/8 x))

rewrite65.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1774×	`rational.json-simplify-35`
1106×	`rational.json-1`
1106×	`rational.json-2`
1106×	`rational.json-3`
1104×	`rational.json-4`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	49	13
2	120	13
3	270	13
4	567	13
5	1598	13
6	4486	7

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

Inputs
(*.f64 8 (/.f64 1/8 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 x) (*.f64 (/.f64 1/4 x) 7/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 x) (*.f64 (/.f64 1/4 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/8 x) 3) (*.f64 5 (/.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/4 x) 7/2) (/.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/4 x) 3) (/.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 5 (/.f64 1/8 x)) (*.f64 (/.f64 1/8 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 8 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (neg.f64 (neg.f64 (*.f64 8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (neg.f64 (*.f64 (neg.f64 x) 4)) (neg.f64 (*.f64 (neg.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (neg.f64 (neg.f64 (*.f64 x 4))) (neg.f64 (neg.f64 (*.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/8 (/.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (/.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (+.f64 (/.f64 x 8) (/.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (neg.f64 x) -1/16) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/4 x) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (+.f64 (/.f64 x 4) (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) (*.f64 (+.f64 x x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (/.f64 1/4 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/8 (/.f64 (neg.f64 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (neg.f64 (*.f64 (neg.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (neg.f64 (neg.f64 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (/.f64 (neg.f64 x) -1/16) 8) (/.f64 (/.f64 (neg.f64 x) -1/16) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (/.f64 (*.f64 x -2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (+.f64 (/.f64 (neg.f64 x) 8) (/.f64 (neg.f64 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (*.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (+.f64 (neg.f64 (neg.f64 (*.f64 8 x))) (neg.f64 (neg.f64 (*.f64 8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (/.f64 x -1/8) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (+.f64 (neg.f64 (/.f64 x 2)) (neg.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (+.f64 (/.f64 (*.f64 x -2) 8) (/.f64 (*.f64 x -2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (/.f64 1 x)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 8 (/.f64 1 x))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (/.f64 (/.f64 x -1/8) 8) (/.f64 (/.f64 x -1/8) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 32 (*.f64 x 32))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 (neg.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (neg.f64 (*.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (neg.f64 (*.f64 8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (*.f64 2 (neg.f64 (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 8 (/.f64 1 x)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -16 (*.f64 2 (neg.f64 (*.f64 8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x x) (/.f64 (*.f64 x (*.f64 x 64)) (*.f64 x 32))) (*.f64 (+.f64 x x) (/.f64 (*.f64 x (*.f64 x 64)) (*.f64 x 32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x 64)) (*.f64 x 32)) (+.f64 x x)) (*.f64 (/.f64 (*.f64 x (*.f64 x 64)) (*.f64 x 32)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x 64)) (*.f64 x 32)) (/.f64 (*.f64 x (*.f64 x 64)) (*.f64 x 32))) (*.f64 (/.f64 (*.f64 x (*.f64 x 64)) (*.f64 x 32)) (/.f64 (*.f64 x (*.f64 x 64)) (*.f64 x 32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 8 (/.f64 1 x)))) (*.f64 2 (*.f64 2 (*.f64 8 (/.f64 1 x))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1)))))

simplify104.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1032×	`rational.json-simplify-2`
912×	`rational.json-simplify-44`
842×	`rational.json-simplify-35`
830×	`rational.json-simplify-47`
710×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	658
1	370	658
2	983	634
3	4096	610
4	7504	610

Stop Event

1×	node limit

Counts

70 → 67

Calls

Call 1

Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(+.f64 (/.f64 1/8 x) (*.f64 (/.f64 1/4 x) 7/2))
(+.f64 (/.f64 1 x) 0)
(+.f64 0 (/.f64 1 x))
(+.f64 (/.f64 1/4 x) (*.f64 (/.f64 1/4 x) 3))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(+.f64 (.f64 (/.f64 1/8 x) 3) (.f64 5 (/.f64 1/8 x)))
(+.f64 (*.f64 (/.f64 1/4 x) 7/2) (/.f64 1/8 x))
(+.f64 (*.f64 (/.f64 1/4 x) 3) (/.f64 1/4 x))
(+.f64 (.f64 5 (/.f64 1/8 x)) (.f64 (/.f64 1/8 x) 3))
(-.f64 (/.f64 1 x) 0)
(/.f64 8 (*.f64 8 x))
(/.f64 8 (neg.f64 (neg.f64 (*.f64 8 x))))
(/.f64 8 (+.f64 (neg.f64 (.f64 (neg.f64 x) 4)) (neg.f64 (.f64 (neg.f64 x) 4))))
(/.f64 8 (+.f64 (neg.f64 (neg.f64 (.f64 x 4))) (neg.f64 (neg.f64 (.f64 x 4)))))
(/.f64 1/8 (/.f64 x 8))
(/.f64 (/.f64 1 x) 1)
(/.f64 1 x)
(/.f64 1/4 (/.f64 x 4))
(/.f64 1/4 (+.f64 (/.f64 x 8) (/.f64 x 8)))
(/.f64 2 (+.f64 x x))
(/.f64 2 (/.f64 (/.f64 (neg.f64 x) -1/16) 8))
(/.f64 (/.f64 1/4 x) 1/4)
(/.f64 1/2 (/.f64 x 2))
(/.f64 1/2 (+.f64 (/.f64 x 4) (/.f64 x 4)))
(/.f64 (.f64 x 4) (.f64 (+.f64 x x) (+.f64 x x)))
(/.f64 (*.f64 8 (/.f64 1/4 x)) 2)
(/.f64 -1/8 (/.f64 (neg.f64 x) 8))
(/.f64 4 (*.f64 x 4))
(/.f64 4 (neg.f64 (*.f64 (neg.f64 x) 4)))
(/.f64 4 (neg.f64 (neg.f64 (*.f64 x 4))))
(/.f64 4 (+.f64 (/.f64 (/.f64 (neg.f64 x) -1/16) 8) (/.f64 (/.f64 (neg.f64 x) -1/16) 8)))
(/.f64 (/.f64 1/2 x) 1/2)
(/.f64 -1/4 (/.f64 (*.f64 x -2) 8))
(/.f64 -1/4 (+.f64 (/.f64 (neg.f64 x) 8) (/.f64 (neg.f64 x) 8)))
(/.f64 (*.f64 (/.f64 1 x) 4) 4)
(/.f64 16 (*.f64 x 16))
(/.f64 16 (+.f64 (neg.f64 (neg.f64 (.f64 8 x))) (neg.f64 (neg.f64 (.f64 8 x)))))
(/.f64 -1 (neg.f64 x))
(/.f64 -1 (/.f64 (/.f64 x -1/8) 8))
(/.f64 -1 (+.f64 (neg.f64 (/.f64 x 2)) (neg.f64 (/.f64 x 2))))
(/.f64 -1/2 (neg.f64 (/.f64 x 2)))
(/.f64 -1/2 (+.f64 (/.f64 (.f64 x -2) 8) (/.f64 (.f64 x -2) 8)))
(/.f64 (*.f64 8 (/.f64 1 x)) 8)
(/.f64 (.f64 2 (.f64 8 (/.f64 1 x))) 16)
(/.f64 -2 (*.f64 x -2))
(/.f64 -2 (+.f64 (/.f64 (/.f64 x -1/8) 8) (/.f64 (/.f64 x -1/8) 8)))
(/.f64 32 (*.f64 x 32))
(/.f64 -4 (*.f64 (neg.f64 x) 4))
(/.f64 -4 (neg.f64 (*.f64 x 4)))
(/.f64 -8 (neg.f64 (*.f64 8 x)))
(/.f64 -8 (.f64 2 (neg.f64 (.f64 x 4))))
(/.f64 (.f64 2 (.f64 2 (*.f64 8 (/.f64 1 x)))) 32)
(/.f64 -16 (.f64 2 (neg.f64 (.f64 8 x))))
(/.f64 (+.f64 (+.f64 x x) (/.f64 (.f64 x (.f64 x 64)) (.f64 x 32))) (.f64 (+.f64 x x) (/.f64 (.f64 x (.f64 x 64)) (*.f64 x 32))))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x 64)) (.f64 x 32)) (+.f64 x x)) (.f64 (/.f64 (.f64 x (.f64 x 64)) (*.f64 x 32)) (+.f64 x x)))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x 64)) (.f64 x 32)) (/.f64 (.f64 x (.f64 x 64)) (.f64 x 32))) (.f64 (/.f64 (.f64 x (.f64 x 64)) (.f64 x 32)) (/.f64 (.f64 x (.f64 x 64)) (*.f64 x 32))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 8 (/.f64 1 x)))) (.f64 2 (.f64 2 (.f64 8 (/.f64 1 x))))) 64)
(pow.f64 (/.f64 1 x) 1)

Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(+.f64 (/.f64 1/8 x) (*.f64 (/.f64 1/4 x) 7/2))
(+.f64 (*.f64 (/.f64 1/4 x) 7/2) (/.f64 1/8 x))
(+.f64 (/.f64 1 x) 0)
(/.f64 1 x)
(+.f64 0 (/.f64 1 x))
(/.f64 1 x)
(+.f64 (/.f64 1/4 x) (*.f64 (/.f64 1/4 x) 3))
(/.f64 1 x)
(+.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(/.f64 1 x)
(+.f64 (.f64 (/.f64 1/8 x) 3) (.f64 5 (/.f64 1/8 x)))
(/.f64 1 x)
(+.f64 (*.f64 (/.f64 1/4 x) 7/2) (/.f64 1/8 x))
(+.f64 (/.f64 1/8 x) (*.f64 (/.f64 1/4 x) 7/2))
(+.f64 (*.f64 (/.f64 1/4 x) 3) (/.f64 1/4 x))
(/.f64 1 x)
(+.f64 (.f64 5 (/.f64 1/8 x)) (.f64 (/.f64 1/8 x) 3))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 0)
(/.f64 1 x)
(/.f64 8 (*.f64 8 x))
(/.f64 1 x)
(/.f64 8 (neg.f64 (neg.f64 (*.f64 8 x))))
(/.f64 1 x)
(/.f64 8 (+.f64 (neg.f64 (.f64 (neg.f64 x) 4)) (neg.f64 (.f64 (neg.f64 x) 4))))
(/.f64 1 x)
(/.f64 8 (+.f64 (neg.f64 (neg.f64 (.f64 x 4))) (neg.f64 (neg.f64 (.f64 x 4)))))
(/.f64 1 x)
(/.f64 1/8 (/.f64 x 8))
(/.f64 1 x)
(/.f64 (/.f64 1 x) 1)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1/4 (/.f64 x 4))
(/.f64 1 x)
(/.f64 1/4 (+.f64 (/.f64 x 8) (/.f64 x 8)))
(/.f64 1 x)
(/.f64 2 (+.f64 x x))
(/.f64 1 x)
(/.f64 2 (/.f64 (/.f64 (neg.f64 x) -1/16) 8))
(/.f64 1 x)
(/.f64 (/.f64 1/4 x) 1/4)
(/.f64 1 x)
(/.f64 1/2 (/.f64 x 2))
(/.f64 1 x)
(/.f64 1/2 (+.f64 (/.f64 x 4) (/.f64 x 4)))
(/.f64 1 x)
(/.f64 (.f64 x 4) (.f64 (+.f64 x x) (+.f64 x x)))
(/.f64 1 x)
(/.f64 (*.f64 8 (/.f64 1/4 x)) 2)
(/.f64 1 x)
(/.f64 -1/8 (/.f64 (neg.f64 x) 8))
(/.f64 1 x)
(/.f64 4 (*.f64 x 4))
(/.f64 1 x)
(/.f64 4 (neg.f64 (*.f64 (neg.f64 x) 4)))
(/.f64 1 x)
(/.f64 4 (neg.f64 (neg.f64 (*.f64 x 4))))
(/.f64 1 x)
(/.f64 4 (+.f64 (/.f64 (/.f64 (neg.f64 x) -1/16) 8) (/.f64 (/.f64 (neg.f64 x) -1/16) 8)))
(/.f64 1 x)
(/.f64 (/.f64 1/2 x) 1/2)
(/.f64 1 x)
(/.f64 -1/4 (/.f64 (*.f64 x -2) 8))
(/.f64 1 x)
(/.f64 -1/4 (+.f64 (/.f64 (neg.f64 x) 8) (/.f64 (neg.f64 x) 8)))
(/.f64 1 x)
(/.f64 (*.f64 (/.f64 1 x) 4) 4)
(/.f64 1 x)
(/.f64 16 (*.f64 x 16))
(/.f64 1 x)
(/.f64 16 (+.f64 (neg.f64 (neg.f64 (.f64 8 x))) (neg.f64 (neg.f64 (.f64 8 x)))))
(/.f64 1 x)
(/.f64 -1 (neg.f64 x))
(/.f64 1 x)
(/.f64 -1 (/.f64 (/.f64 x -1/8) 8))
(/.f64 1 x)
(/.f64 -1 (+.f64 (neg.f64 (/.f64 x 2)) (neg.f64 (/.f64 x 2))))
(/.f64 1 x)
(/.f64 -1/2 (neg.f64 (/.f64 x 2)))
(/.f64 1 x)
(/.f64 -1/2 (+.f64 (/.f64 (.f64 x -2) 8) (/.f64 (.f64 x -2) 8)))
(/.f64 1 x)
(/.f64 (*.f64 8 (/.f64 1 x)) 8)
(/.f64 1 x)
(/.f64 (.f64 2 (.f64 8 (/.f64 1 x))) 16)
(/.f64 1 x)
(/.f64 -2 (*.f64 x -2))
(/.f64 1 x)
(/.f64 -2 (+.f64 (/.f64 (/.f64 x -1/8) 8) (/.f64 (/.f64 x -1/8) 8)))
(/.f64 1 x)
(/.f64 32 (*.f64 x 32))
(/.f64 1 x)
(/.f64 -4 (*.f64 (neg.f64 x) 4))
(/.f64 1 x)
(/.f64 -4 (neg.f64 (*.f64 x 4)))
(/.f64 1 x)
(/.f64 -8 (neg.f64 (*.f64 8 x)))
(/.f64 1 x)
(/.f64 -8 (.f64 2 (neg.f64 (.f64 x 4))))
(/.f64 1 x)
(/.f64 (.f64 2 (.f64 2 (*.f64 8 (/.f64 1 x)))) 32)
(/.f64 1 x)
(/.f64 -16 (.f64 2 (neg.f64 (.f64 8 x))))
(/.f64 1 x)
(/.f64 (+.f64 (+.f64 x x) (/.f64 (.f64 x (.f64 x 64)) (.f64 x 32))) (.f64 (+.f64 x x) (/.f64 (.f64 x (.f64 x 64)) (*.f64 x 32))))
(+.f64 (/.f64 1/2 x) (/.f64 1 (.f64 (.f64 x 64) (/.f64 x (*.f64 x 32)))))
(+.f64 (/.f64 1/2 x) (/.f64 1 (.f64 x (/.f64 (.f64 x 64) (*.f64 x 32)))))
(+.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))))
(+.f64 (/.f64 1/2 x) (/.f64 x (*.f64 x (+.f64 x x))))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x 64)) (.f64 x 32)) (+.f64 x x)) (.f64 (/.f64 (.f64 x (.f64 x 64)) (*.f64 x 32)) (+.f64 x x)))
(+.f64 (/.f64 1/2 x) (/.f64 1 (.f64 (.f64 x 64) (/.f64 x (*.f64 x 32)))))
(+.f64 (/.f64 1/2 x) (/.f64 1 (.f64 x (/.f64 (.f64 x 64) (*.f64 x 32)))))
(+.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))))
(+.f64 (/.f64 1/2 x) (/.f64 x (*.f64 x (+.f64 x x))))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 x 64)) (.f64 x 32)) (/.f64 (.f64 x (.f64 x 64)) (.f64 x 32))) (.f64 (/.f64 (.f64 x (.f64 x 64)) (.f64 x 32)) (/.f64 (.f64 x (.f64 x 64)) (*.f64 x 32))))
(+.f64 (/.f64 1 (.f64 (.f64 x 64) (/.f64 x (.f64 x 32)))) (/.f64 1 (.f64 (.f64 x 64) (/.f64 x (.f64 x 32)))))
(+.f64 (/.f64 1 (.f64 x (/.f64 (.f64 x 64) (.f64 x 32)))) (/.f64 1 (.f64 x (/.f64 (.f64 x 64) (.f64 x 32)))))
(+.f64 (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))))
(+.f64 (/.f64 x (.f64 x (+.f64 x x))) (/.f64 x (.f64 x (+.f64 x x))))
(/.f64 (.f64 (+.f64 x x) (/.f64 x (/.f64 x 2))) (.f64 (*.f64 x 4) x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 8 (/.f64 1 x)))) (.f64 2 (.f64 2 (.f64 8 (/.f64 1 x))))) 64)
(/.f64 1 x)
(pow.f64 (/.f64 1 x) 1)
(/.f64 1 x)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 (*.f64 x x)) 1/12)
	0.1b	(*.f64 (pow.f64 x 3) -1/720)
✓	0.3b	(/.f64 1 (*.f64 x x))
✓	18.0b	(.f64 x (+.f64 (/.f64 1 (.f64 x x)) 1/12))

Compiler

Compiled 63 to 42 computations (33.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite818.0ms (11.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1986×	`rational.json-1`
1986×	`rational.json-2`
1986×	`rational.json-3`
1270×	`rational.json-simplify-35`
796×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	74	57
2	184	57
3	471	57
4	1894	57
5	6622	57

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

Outputs

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

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

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

simplify44.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1586×	`rational.json-simplify-44`
1478×	`rational.json-simplify-47`
1196×	`rational.json-simplify-61`
948×	`rational.json-simplify-49`
804×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	1527
1	326	1527
2	1103	1509

Stop Event

1×	node limit

Counts

95 → 74

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(*.f64 1/12 x)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(*.f64 1/12 x)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
1/12
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
1/12
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
(+.f64 (.f64 x (+.f64 (/.f64 1 (.f64 x x)) 1/12)) 0)
(+.f64 0 (.f64 x (+.f64 (/.f64 1 (.f64 x x)) 1/12)))
(-.f64 (.f64 x (+.f64 (/.f64 1 (.f64 x x)) 1/12)) 0)
(/.f64 (.f64 x (+.f64 (/.f64 1 (.f64 x x)) 1/12)) 1)
(/.f64 (.f64 x (.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1/12) 2)) 2)
(/.f64 (.f64 x (.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1/12) 4)) 4)
(/.f64 (.f64 2 (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 4))) (.f64 2 (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 4)))) 16)
(pow.f64 (.f64 x (+.f64 (/.f64 1 (.f64 x x)) 1/12)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) 0)
(+.f64 0 (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (.f64 x (+.f64 x x))) (/.f64 1 (.f64 x (+.f64 x x))))
(-.f64 (/.f64 1 (*.f64 x x)) 0)
(.f64 x (/.f64 x (.f64 x (.f64 x (.f64 x x)))))
(.f64 1 (/.f64 1 (.f64 x x)))
(.f64 (.f64 x x) (/.f64 1 (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 x x) (fabs.f64 (/.f64 1 (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 1 (.f64 x x)) 1)
(.f64 2 (/.f64 (/.f64 1 (.f64 x x)) 2))
(.f64 2 (fabs.f64 (/.f64 (/.f64 1 (.f64 x x)) 2)))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(.f64 (.f64 (/.f64 1 (*.f64 x x)) 2) 1/2)
(*.f64 (/.f64 2 x) (/.f64 1 (+.f64 x x)))
(.f64 (fabs.f64 x) (/.f64 (/.f64 1 (.f64 x x)) (fabs.f64 x)))
(.f64 (fabs.f64 x) (fabs.f64 (/.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 (fabs.f64 x) (fabs.f64 (/.f64 (/.f64 1 (.f64 x x)) (fabs.f64 x))))
(*.f64 -1 (/.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 -1 x) (/.f64 -1 x))
(*.f64 (fabs.f64 (/.f64 1 x)) (fabs.f64 (/.f64 1 x)))
(.f64 1/2 (.f64 (/.f64 1 (*.f64 x x)) 2))
(.f64 (.f64 x 1/2) (/.f64 (+.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (fabs.f64 (.f64 x 1/2)) (fabs.f64 (/.f64 (+.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(.f64 (/.f64 x (.f64 x (.f64 x (.f64 x x)))) x)
(.f64 (/.f64 1 (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(.f64 (/.f64 (+.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x 1/2))
(*.f64 (/.f64 (/.f64 -1 x) x) -1)
(*.f64 (/.f64 1 (+.f64 x x)) (/.f64 2 x))
(.f64 (/.f64 (/.f64 1 (.f64 x x)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (/.f64 (/.f64 1 (.f64 x x)) 2) 2)
(*.f64 (fabs.f64 (/.f64 2 x)) (fabs.f64 (/.f64 1 (+.f64 x x))))
(pow.f64 (/.f64 1 (*.f64 x x)) 1)
(neg.f64 (/.f64 (/.f64 -1 x) x))
(fabs.f64 (/.f64 1 (*.f64 x x)))
(fabs.f64 (/.f64 (/.f64 (.f64 x x) (.f64 x (neg.f64 x))) (*.f64 x x)))
(fabs.f64 (/.f64 (/.f64 -1 x) x))
(fabs.f64 (neg.f64 (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1/12) 0)
(.f64 1 (+.f64 (/.f64 1 (.f64 x x)) 1/12))
(.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 1)
(.f64 2 (/.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 2))
(.f64 (.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1/12) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1/12) 2))
(.f64 (/.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 2) 2)
(/.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1/12) 1)
(/.f64 (.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 2) 2)
(/.f64 (.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1/12) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 4)) (.f64 2 (.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 4))) 16)
(pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1/12) 1)

Outputs
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
1/12
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
1/12
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
(+.f64 1/12 (/.f64 1 (pow.f64 x 2)))
(+.f64 (.f64 x (+.f64 (/.f64 1 (.f64 x x)) 1/12)) 0)
(.f64 x (+.f64 1/12 (/.f64 1 (.f64 x x))))
(+.f64 0 (.f64 x (+.f64 (/.f64 1 (.f64 x x)) 1/12)))
(.f64 x (+.f64 1/12 (/.f64 1 (.f64 x x))))
(-.f64 (.f64 x (+.f64 (/.f64 1 (.f64 x x)) 1/12)) 0)
(.f64 x (+.f64 1/12 (/.f64 1 (.f64 x x))))
(/.f64 (.f64 x (+.f64 (/.f64 1 (.f64 x x)) 1/12)) 1)
(.f64 x (+.f64 1/12 (/.f64 1 (.f64 x x))))
(/.f64 (.f64 x (.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1/12) 2)) 2)
(.f64 x (+.f64 1/12 (/.f64 1 (.f64 x x))))
(/.f64 (.f64 x (.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1/12) 4)) 4)
(.f64 x (+.f64 1/12 (/.f64 1 (.f64 x x))))
(/.f64 (.f64 2 (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 4))) 8)
(.f64 x (+.f64 1/12 (/.f64 1 (.f64 x x))))
(/.f64 (+.f64 (.f64 2 (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 4))) (.f64 2 (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 4)))) 16)
(.f64 x (+.f64 1/12 (/.f64 1 (.f64 x x))))
(pow.f64 (.f64 x (+.f64 (/.f64 1 (.f64 x x)) 1/12)) 1)
(.f64 x (+.f64 1/12 (/.f64 1 (.f64 x x))))
(+.f64 (/.f64 1 (*.f64 x x)) 0)
(/.f64 1 (*.f64 x x))
(+.f64 0 (/.f64 1 (*.f64 x x)))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (.f64 x (+.f64 x x))) (/.f64 1 (.f64 x (+.f64 x x))))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (*.f64 x x)) 0)
(/.f64 1 (*.f64 x x))
(.f64 x (/.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/.f64 1 (*.f64 x x))
(.f64 1 (/.f64 1 (.f64 x x)))
(/.f64 1 (*.f64 x x))
(.f64 (.f64 x x) (/.f64 1 (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 1 (*.f64 x x))
(.f64 (.f64 x x) (fabs.f64 (/.f64 1 (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 1 (.f64 x x)) 1)
(/.f64 1 (*.f64 x x))
(.f64 2 (/.f64 (/.f64 1 (.f64 x x)) 2))
(/.f64 1 (*.f64 x x))
(.f64 2 (fabs.f64 (/.f64 (/.f64 1 (.f64 x x)) 2)))
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(.f64 (.f64 (/.f64 1 (*.f64 x x)) 2) 1/2)
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 2 x) (/.f64 1 (+.f64 x x)))
(*.f64 (/.f64 2 x) (/.f64 1/2 x))
(.f64 (fabs.f64 x) (/.f64 (/.f64 1 (.f64 x x)) (fabs.f64 x)))
(/.f64 1 (*.f64 x x))
(.f64 (fabs.f64 x) (fabs.f64 (/.f64 x (.f64 x (.f64 x (.f64 x x))))))
(/.f64 1 (*.f64 x x))
(.f64 (fabs.f64 x) (fabs.f64 (/.f64 (/.f64 1 (.f64 x x)) (fabs.f64 x))))
(/.f64 1 (*.f64 x x))
(*.f64 -1 (/.f64 (/.f64 -1 x) x))
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 -1 x) (/.f64 -1 x))
(/.f64 1 (*.f64 x x))
(*.f64 (fabs.f64 (/.f64 1 x)) (fabs.f64 (/.f64 1 x)))
(/.f64 1 (*.f64 x x))
(.f64 1/2 (.f64 (/.f64 1 (*.f64 x x)) 2))
(/.f64 1 (*.f64 x x))
(.f64 (.f64 x 1/2) (/.f64 (+.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 1 (*.f64 x x))
(.f64 (fabs.f64 (.f64 x 1/2)) (fabs.f64 (/.f64 (+.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 x (.f64 x (.f64 x (.f64 x x)))) x)
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 1 (.f64 x (.f64 x (.f64 x x)))) (*.f64 x x))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 (+.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (*.f64 x 1/2))
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 (/.f64 -1 x) x) -1)
(/.f64 1 (*.f64 x x))
(*.f64 (/.f64 1 (+.f64 x x)) (/.f64 2 x))
(*.f64 (/.f64 2 x) (/.f64 1 (+.f64 x x)))
(*.f64 (/.f64 2 x) (/.f64 1/2 x))
(.f64 (/.f64 (/.f64 1 (.f64 x x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 1 (*.f64 x x))
(.f64 (/.f64 (/.f64 1 (.f64 x x)) 2) 2)
(/.f64 1 (*.f64 x x))
(*.f64 (fabs.f64 (/.f64 2 x)) (fabs.f64 (/.f64 1 (+.f64 x x))))
(fabs.f64 (*.f64 (/.f64 2 x) (/.f64 1 (+.f64 x x))))
(fabs.f64 (*.f64 (/.f64 2 x) (/.f64 1/2 x)))
(pow.f64 (/.f64 1 (*.f64 x x)) 1)
(/.f64 1 (*.f64 x x))
(neg.f64 (/.f64 (/.f64 -1 x) x))
(/.f64 1 (*.f64 x x))
(fabs.f64 (/.f64 1 (*.f64 x x)))
(/.f64 1 (*.f64 x x))
(fabs.f64 (/.f64 (/.f64 (.f64 x x) (.f64 x (neg.f64 x))) (*.f64 x x)))
(/.f64 1 (*.f64 x x))
(fabs.f64 (/.f64 (/.f64 -1 x) x))
(/.f64 1 (*.f64 x x))
(fabs.f64 (neg.f64 (/.f64 1 (*.f64 x x))))
(/.f64 1 (*.f64 x x))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1/12) 0)
(+.f64 1/12 (/.f64 1 (*.f64 x x)))
(.f64 1 (+.f64 (/.f64 1 (.f64 x x)) 1/12))
(+.f64 1/12 (/.f64 1 (*.f64 x x)))
(.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 1)
(+.f64 1/12 (/.f64 1 (*.f64 x x)))
(.f64 2 (/.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 2))
(+.f64 1/12 (/.f64 1 (*.f64 x x)))
(.f64 (.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1/12) 2) 1/2)
(+.f64 1/12 (/.f64 1 (*.f64 x x)))
(.f64 1/2 (.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1/12) 2))
(+.f64 1/12 (/.f64 1 (*.f64 x x)))
(.f64 (/.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 2) 2)
(+.f64 1/12 (/.f64 1 (*.f64 x x)))
(/.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1/12) 1)
(+.f64 1/12 (/.f64 1 (*.f64 x x)))
(/.f64 (.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 2) 2)
(+.f64 1/12 (/.f64 1 (*.f64 x x)))
(/.f64 (.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 4) 4)
(+.f64 1/12 (/.f64 1 (*.f64 x x)))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1/12) 4)) 8)
(+.f64 1/12 (/.f64 1 (*.f64 x x)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 4)) (.f64 2 (.f64 (+.f64 (/.f64 1 (.f64 x x)) 1/12) 4))) 16)
(+.f64 1/12 (/.f64 1 (*.f64 x x)))
(pow.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1/12) 1)
(+.f64 1/12 (/.f64 1 (*.f64 x x)))

eval526.0ms (7.2%)

Compiler: Compiled 4539 to 3598 computations (20.7% saved)

prune175.0ms (2.4%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	272	5	277
Fresh	0	0	0
Picked	0	1	1
Done	1	9	10
Total	273	15	288

Error

Counts

288 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	30.9b	(/.f64 (.f64 x 4) (.f64 (+.f64 x x) (+.f64 x x)))
✓	1.2b	(/.f64 (exp.f64 x) x)
	21.1b	(/.f64 32 (*.f64 x 32))
✓	21.3b	(/.f64 1 x)
	30.6b	(+.f64 (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))))
✓	21.3b	(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
	39.1b	(+.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))))
✓	21.5b	(+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (.f64 (pow.f64 x 3) -1/720) 1/2))
	21.3b	(+.f64 (.f64 (/.f64 1/8 x) 3) (.f64 5 (/.f64 1/8 x)))
✓	40.6b	(+.f64 (.f64 x (+.f64 (/.f64 1 (.f64 x x)) 1/12)) (+.f64 (*.f64 (pow.f64 x 3) -1/720) 1/2))
✓	21.5b	(+.f64 1/2 (/.f64 1 x))
✓	41.0b	(*.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) -1/2)
✓	1.2b	(*.f64 (/.f64 1 x) (exp.f64 x))
✓	41.2b	(*.f64 8 (-.f64 (/.f64 1/8 (+.f64 (exp.f64 x) -1)) -1/8))
✓	21.3b	(.f64 8 (-.f64 (-.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 1/16) -1/8))

Compiler

Compiled 167 to 129 computations (22.8% saved)

regimes318.0ms (4.3%)

Counts

17 → 2

Calls

Call 1

Inputs
(/.f64 1 x)
(*.f64 8 (/.f64 1/8 x))
(+.f64 1/2 (/.f64 1 x))
(/.f64 32 (*.f64 x 32))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
(+.f64 (.f64 (/.f64 1/8 x) 3) (.f64 5 (/.f64 1/8 x)))
(/.f64 (.f64 x 4) (.f64 (+.f64 x x) (+.f64 x x)))
(+.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))))
(.f64 8 (-.f64 (-.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 1/16) -1/8))
(+.f64 (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))))
(/.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 8 (-.f64 (/.f64 1/8 (+.f64 (exp.f64 x) -1)) -1/8))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (.f64 (pow.f64 x 3) -1/720) 1/2))
(+.f64 (.f64 x (+.f64 (/.f64 1 (.f64 x x)) 1/12)) (+.f64 (*.f64 (pow.f64 x 3) -1/720) 1/2))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

Outputs
(*.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) -1/2)
(+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (.f64 (pow.f64 x 3) -1/720) 1/2))

Calls

3 calls:

307.0ms	x
4.0ms	(exp.f64 x)
3.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

Results

Error	Segments	Branch
0.0b	2	`x`
1.2b	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))`
0.0b	2	`(exp.f64 x)`

Compiler

Compiled 178 to 128 computations (28.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.029101929244969547	0.999999997369919

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes21.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

Inputs
(/.f64 1 x)
(*.f64 8 (/.f64 1/8 x))
(+.f64 1/2 (/.f64 1 x))
(/.f64 32 (*.f64 x 32))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
(+.f64 (.f64 (/.f64 1/8 x) 3) (.f64 5 (/.f64 1/8 x)))
(/.f64 (.f64 x 4) (.f64 (+.f64 x x) (+.f64 x x)))
(+.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))))
(.f64 8 (-.f64 (-.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 1/16) -1/8))
(+.f64 (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))))
(/.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 8 (-.f64 (/.f64 1/8 (+.f64 (exp.f64 x) -1)) -1/8))

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

Calls

2 calls:

13.0ms	x
4.0ms	(exp.f64 x)

Results

Error	Segments	Branch
0.1b	2	`x`
0.1b	2	`(exp.f64 x)`

Compiler

Compiled 131 to 95 computations (27.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.029101929244969547	0.999999997369919

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
(/.f64 1 x)
(*.f64 8 (/.f64 1/8 x))
(+.f64 1/2 (/.f64 1 x))
(/.f64 32 (*.f64 x 32))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
(+.f64 (.f64 (/.f64 1/8 x) 3) (.f64 5 (/.f64 1/8 x)))
(/.f64 (.f64 x 4) (.f64 (+.f64 x x) (+.f64 x x)))
(+.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))))
(.f64 8 (-.f64 (-.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 1/16) -1/8))
(+.f64 (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))))
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 1 x) (exp.f64 x))

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
1.2b	1	`x`

Compiler

Compiled 109 to 77 computations (29.4% saved)

regimes14.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

Inputs
(/.f64 1 x)
(*.f64 8 (/.f64 1/8 x))
(+.f64 1/2 (/.f64 1 x))
(/.f64 32 (*.f64 x 32))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
(+.f64 (.f64 (/.f64 1/8 x) 3) (.f64 5 (/.f64 1/8 x)))
(/.f64 (.f64 x 4) (.f64 (+.f64 x x) (+.f64 x x)))
(+.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))))
(.f64 8 (-.f64 (-.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 1/16) -1/8))
(+.f64 (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))))

Outputs
(+.f64 (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
12.1b	2	`x`

Compiler

Compiled 99 to 72 computations (27.3% saved)

bsearch12.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	-163.7573378574834	-3.536950809924253

Results

10.0ms

112×

body

256

valid

Compiler

Compiled 236 to 176 computations (25.4% saved)

regimes15.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

Inputs
(/.f64 1 x)
(*.f64 8 (/.f64 1/8 x))
(+.f64 1/2 (/.f64 1 x))
(/.f64 32 (*.f64 x 32))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
(+.f64 (.f64 (/.f64 1/8 x) 3) (.f64 5 (/.f64 1/8 x)))
(/.f64 (.f64 x 4) (.f64 (+.f64 x x) (+.f64 x x)))
(+.f64 (/.f64 1/2 x) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))))
(.f64 8 (-.f64 (-.f64 (+.f64 (.f64 1/96 x) (*.f64 1/8 (/.f64 1 x))) 1/16) -1/8))

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
12.3b	2	`x`

Compiler

Compiled 80 to 59 computations (26.3% saved)

bsearch12.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	-163.7573378574834	-3.536950809924253

Results

10.0ms

112×

body

256

valid

Compiler

Compiled 180 to 120 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 1 x)
(*.f64 8 (/.f64 1/8 x))
(+.f64 1/2 (/.f64 1 x))
(/.f64 32 (*.f64 x 32))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
(+.f64 (.f64 (/.f64 1/8 x) 3) (.f64 5 (/.f64 1/8 x)))

Outputs
(/.f64 32 (*.f64 x 32))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
21.1b	1	`x`

Compiler

Compiled 41 to 32 computations (22% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.6b remaining (-2.7%)

Threshold costs -0.6b (-2.7%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 1 x)
(*.f64 8 (/.f64 1/8 x))
(+.f64 1/2 (/.f64 1 x))

Outputs
(/.f64 1 x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
21.3b	1	`x`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	333

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (exp.f64 x) 3602879701896397/72057594037927936) (.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) -1/2) (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (*.f64 (pow.f64 x 3) -1/720) 1/2)))
(if (<=.f64 (exp.f64 x) 3602879701896397/72057594037927936) (.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) -1/2) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2)))
(/.f64 (exp.f64 x) x)
(if (<=.f64 x -6) (+.f64 (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2)))
(if (<=.f64 x -6) (/.f64 (.f64 x 4) (.f64 (+.f64 x x) (+.f64 x x))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2)))
(/.f64 32 (*.f64 x 32))
(/.f64 1 x)

Outputs
(if (<=.f64 (exp.f64 x) 3602879701896397/72057594037927936) (.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) -1/2) (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (*.f64 (pow.f64 x 3) -1/720) 1/2)))
(if (<=.f64 (exp.f64 x) 3602879701896397/72057594037927936) (.f64 (/.f64 2 (+.f64 -1 (exp.f64 (neg.f64 x)))) -1/2) (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) 1/2)))
(/.f64 (exp.f64 x) x)
(if (<=.f64 x -6) (+.f64 (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x))) (/.f64 x (/.f64 (/.f64 x 32) (/.f64 1/64 x)))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2)))
(if (<=.f64 x -6) (/.f64 (.f64 x 4) (.f64 (+.f64 x x) (+.f64 x x))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2)))
(/.f64 32 (*.f64 x 32))
(/.f64 1 x)

Compiler

Compiled 127 to 96 computations (24.4% saved)

soundness604.0ms (8.2%)

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

Compiler

Compiled 91 to 73 computations (19.8% saved)

end64.0ms (0.9%)

Compiler: Compiled 121 to 86 computations (28.9% saved)

Details

analyze294.0ms (4%)

sample1.8s (23.9%)

preprocess145.0ms (2%)

simplify142.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite91.0ms (1.2%)

simplify122.0ms (1.7%)

eval41.0ms (0.6%)

prune29.0ms (0.4%)

localize4.0ms (0%)

series1.0ms (0%)

rewrite77.0ms (1%)

simplify90.0ms (1.2%)

localize3.0ms (0%)

localize5.0ms (0.1%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite80.0ms (1.1%)

simplify170.0ms (2.3%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite89.0ms (1.2%)

simplify107.0ms (1.5%)

eval66.0ms (0.9%)

prune43.0ms (0.6%)

localize17.0ms (0.2%)

series3.0ms (0%)

rewrite82.0ms (1.1%)

simplify108.0ms (1.5%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite89.0ms (1.2%)

simplify77.0ms (1%)

localize19.0ms (0.3%)

series3.0ms (0%)

rewrite90.0ms (1.2%)

simplify137.0ms (1.9%)

eval94.0ms (1.3%)

prune45.0ms (0.6%)

localize25.0ms (0.3%)

series2.0ms (0%)

rewrite85.0ms (1.2%)

simplify231.0ms (3.1%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite65.0ms (0.9%)

simplify104.0ms (1.4%)

localize22.0ms (0.3%)

series1.0ms (0%)

rewrite818.0ms (11.1%)

simplify44.0ms (0.6%)

eval526.0ms (7.2%)

prune175.0ms (2.4%)

regimes318.0ms (4.3%)

bsearch0.0ms (0%)

regimes21.0ms (0.3%)

bsearch0.0ms (0%)

regimes10.0ms (0.1%)

regimes14.0ms (0.2%)

bsearch12.0ms (0.2%)

regimes15.0ms (0.2%)

bsearch12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

simplify5.0ms (0.1%)

soundness604.0ms (8.2%)

end64.0ms (0.9%)

Profiling