Details

analyze259.0ms (2.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	87.4%	0.1%	12.5%	0%	0%	6
25.5%	20.3%	59.3%	0.1%	18.7%	0%	1.6%	7
29%	21.1%	51.5%	0.1%	25%	0%	2.3%	8
53.8%	35.5%	30.4%	0.1%	28.1%	0%	5.9%	9
57.7%	35.7%	26.1%	0.1%	31.2%	0%	6.8%	10
73.5%	42.8%	15.4%	0.1%	32.8%	0%	8.9%	11
76.5%	42.9%	13.2%	0.1%	34.3%	0%	9.5%	12

Compiler

Compiled 32 to 26 computations (18.8% saved)

sample4.1s (32.5%)

Results

1.5s	2101×	body	1024	valid
1.5s	4892×	body	256	valid
682.0ms	1064×	body	512	valid
166.0ms	199×	body	2048	valid
144.0ms	420×	body	256	unsamplable
95.0ms	502×	body	256	infinite
10.0ms	18×	body	1024	infinite
3.0ms	9×	body	512	infinite

Bogosity

preprocess131.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1672×	`rational.json-simplify-1`
1200×	`rational.json-simplify-2`
1054×	`rational.json-simplify-51`
974×	`rational.json-simplify-35`
820×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	178
1	90	178
2	144	178
3	238	178
4	368	170
5	618	162
6	1246	162
7	1720	162
8	2088	162
9	3003	162
10	3939	162
11	6205	162
12	7544	162
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify164.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1334×	`rational.json-simplify-2`
1128×	`rational.json-simplify-51`
1126×	`rational.json-simplify-35`
1046×	`rational.json-simplify-49`
700×	`rational.json-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	51	89
2	80	89
3	130	89
4	198	85
5	328	81
6	650	81
7	901	81
8	1066	81
9	1418	81
10	2436	81
11	4135	81
12	5663	81
13	7047	81
14	7907	81

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

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

eval2.0ms (0%)

Compiler: Compiled 144 to 114 computations (20.8% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

31.5b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.5b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))) 2)

Compiler

Compiled 29 to 23 computations (20.7% saved)

localize56.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 -1 eps))
✓	0.0b	(exp.f64 (*.f64 x (+.f64 eps -1)))
✓	0.0b	(exp.f64 (*.f64 x (-.f64 -1 eps)))
✓	2.9b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))))

Compiler

Compiled 124 to 91 computations (26.6% saved)

series12.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))))
2.0ms	eps	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))))
1.0ms	eps	@	-inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))))
1.0ms	eps	@	0	(exp.f64 (*.f64 x (+.f64 eps -1)))
1.0ms	x	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))))

rewrite119.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

2036×	`rational.json-1`
1438×	`rational.json-simplify-35`
1130×	`rational.json-2`
1130×	`rational.json-4`
1130×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	122
1	141	122
2	280	122
3	600	122
4	1264	122
5	3705	122
6	7846	122

Stop Event

1×	node limit

Counts

4 → 87

Calls

Call 1

Inputs
(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))))
(exp.f64 (*.f64 x (-.f64 -1 eps)))
(exp.f64 (*.f64 x (+.f64 eps -1)))
(*.f64 x (-.f64 -1 eps))

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

simplify325.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1268×	`rational.json-simplify-51`
1240×	`rational.json-simplify-35`
1090×	`rational.json-simplify-53`
956×	`rational.json-simplify-41`
942×	`rational.json-simplify-2`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	349	9333
1	772	8737
2	1598	8535
3	3192	8353
4	5529	7795
5	7453	7783

Stop Event

1×	node limit

Counts

183 → 241

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (+.f64 (.f64 1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7))) (.f64 1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (.f64 -1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6))) (.f64 -1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps) (exp.f64 (.f64 (-.f64 eps 1) x))) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps) (exp.f64 (.f64 (-.f64 eps 1) x))) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (+.f64 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps) (exp.f64 (.f64 (-.f64 eps 1) x))) (+.f64 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x))) eps) (.f64 -1 (exp.f64 (.f64 -1 (*.f64 (+.f64 eps 1) x))))))
(-.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x)))) eps))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x)))) eps))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x)))) eps))) (.f64 -1 (exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))))
2
(+.f64 2 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x))
(+.f64 2 (+.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (.f64 1/2 (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2))))
(+.f64 2 (+.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (-.f64 eps 1)) (.f64 -1 (.f64 (-.f64 (/.f64 1 eps) 1) (+.f64 1 eps)))) x) (+.f64 (.f64 (-.f64 (.f64 1/6 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 3))) (.f64 -1/6 (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 3)))) (pow.f64 x 3)) (.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 (/.f64 1 eps) 1) (pow.f64 (-.f64 eps 1) 2))) (.f64 1/2 (.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 (+.f64 1 eps) 2)))) (pow.f64 x 2)))))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 (exp.f64 (.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 (exp.f64 (.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 (exp.f64 (.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 (exp.f64 (.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 (exp.f64 (.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 (exp.f64 (.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 (exp.f64 (.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
(-.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 (exp.f64 (.f64 -1 (*.f64 (+.f64 1 eps) x))) (-.f64 (/.f64 1 eps) 1)))
1
(+.f64 1 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)) (.f64 1/2 (.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (+.f64 eps 1) 2) (pow.f64 x 2))) (.f64 -1/6 (.f64 (pow.f64 (+.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (*.f64 -1 x))
(+.f64 (.f64 -1 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (.f64 -1 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x))))
(+.f64 (.f64 -1 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (exp.f64 (*.f64 -1 x)))))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 eps 1) x)))
(exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))
(exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))
(exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))
(exp.f64 (.f64 (-.f64 (.f64 -1 eps) 1) x))
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 (-.f64 eps 1) x) (.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 x))
(+.f64 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x)))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(.f64 -1 (.f64 (+.f64 1 eps) x))
(.f64 -1 (.f64 (+.f64 1 eps) x))
(.f64 -1 (.f64 (+.f64 1 eps) x))
(.f64 -1 (.f64 (+.f64 1 eps) x))
(.f64 -1 (.f64 (+.f64 eps 1) x))
(.f64 -1 (.f64 (+.f64 eps 1) x))
(.f64 -1 (.f64 (+.f64 eps 1) x))
(.f64 -1 (.f64 (+.f64 eps 1) x))
(.f64 -1 (.f64 (+.f64 1 eps) x))
(.f64 -1 (.f64 (+.f64 1 eps) x))
(.f64 -1 (.f64 (+.f64 1 eps) x))
(.f64 -1 (.f64 (+.f64 1 eps) x))
(*.f64 -1 x)
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(.f64 -1 (.f64 eps x))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(+.f64 (.f64 -1 (.f64 eps x)) (*.f64 -1 x))
(+.f64 -1 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (-.f64 1 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))))))
(+.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 (/.f64 (exp.f64 (.f64 x (+.f64 eps -1))) eps) (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))))))
(+.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 (exp.f64 (.f64 x (+.f64 eps -1))) eps) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))))
(+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))))
(+.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))) 0)
(+.f64 0 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))))
(+.f64 (/.f64 (exp.f64 (.f64 x (+.f64 eps -1))) eps) (-.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))))
(+.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))))
(+.f64 (+.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (-.f64 1 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))))) -1)
(+.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1))))) -2) (/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1))))) -2))
(+.f64 (+.f64 (/.f64 (exp.f64 (.f64 x (+.f64 eps -1))) eps) (neg.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))))) (exp.f64 (.f64 x (+.f64 eps -1))))
(+.f64 (-.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))) (/.f64 (exp.f64 (.f64 x (+.f64 eps -1))) eps))
(.f64 1 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (-.f64 -1 eps))))))
(.f64 -1 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1))))))
(.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (-.f64 -1 eps))))) 1)
(.f64 2 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1))))) -2))
(.f64 2 (-.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 1/2 (/.f64 1/2 eps))) (.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (+.f64 -1/2 (/.f64 1/2 eps)))))
(.f64 2 (-.f64 (.f64 (/.f64 1/2 eps) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 1 eps))) (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (+.f64 -1/2 (/.f64 1/2 eps)))))
(.f64 4 (/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (-.f64 -1 eps))))) 4))
(.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1))))) -2) 1/2)
(.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1))))) -1)
(.f64 (.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1))))) -2))
(.f64 1/2 (-.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 2 (/.f64 2 eps))) (.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (+.f64 (/.f64 2 eps) -2))))
(.f64 (/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1))))) -2) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))) 1)
(/.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1))))) -2) 2)
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1))))) -1)
(/.f64 (.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (-.f64 -1 eps))))) 4) 4)
(/.f64 (.f64 2 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1)))))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1))))))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (*.f64 x (-.f64 -1 eps))))) 4))) 16)
(/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1))))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))) 4))) (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))) 4)))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1))))))) (neg.f64 (.f64 2 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))))))) 4)
(pow.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))) 1)
(neg.f64 (-.f64 (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))) (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1))))))
(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) 0)
(+.f64 0 (exp.f64 (*.f64 x (-.f64 -1 eps))))
(+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) 1/2) (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) 1/2))
(-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) 0)
(.f64 1 (exp.f64 (.f64 x (-.f64 -1 eps))))
(.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) 1)
(.f64 2 (.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) 1/2))
(.f64 (.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) 2) 1/2)
(.f64 4 (/.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) 4))
(.f64 (.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) 4) 1/4)
(.f64 1/2 (.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) 2))
(.f64 (.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) 1/2) 2)
(/.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) 1)
(/.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) 2) 2)
(/.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) 4) 4)
(/.f64 (.f64 2 (.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) 4))) (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) 4)))) 32)
(pow.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) 1)
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 0)
(+.f64 0 (exp.f64 (*.f64 x (+.f64 eps -1))))
(+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 1/2) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 1/2))
(-.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 0)
(.f64 1 (exp.f64 (.f64 x (+.f64 eps -1))))
(.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 1)
(.f64 2 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/2))
(.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 2) 1/2)
(.f64 4 (/.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 4))
(.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 4) 1/4)
(.f64 1/2 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 2))
(.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/2) 2)
(/.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1)
(/.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 2) 2)
(/.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 4) 4)
(/.f64 (.f64 2 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 4))) (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 4)))) 32)
(pow.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1)
(+.f64 (*.f64 x (-.f64 -1 eps)) 0)
(+.f64 0 (*.f64 x (-.f64 -1 eps)))
(+.f64 (.f64 x (.f64 (-.f64 -1 eps) 1/2)) (.f64 x (.f64 (-.f64 -1 eps) 1/2)))
(-.f64 (*.f64 x (-.f64 -1 eps)) 0)
(/.f64 (*.f64 x (-.f64 -1 eps)) 1)
(/.f64 (.f64 x (.f64 (-.f64 -1 eps) 2)) 2)
(/.f64 (.f64 (-.f64 -1 eps) (.f64 x 4)) 4)
(/.f64 (.f64 2 (.f64 (-.f64 -1 eps) (*.f64 x 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 -1 eps) (.f64 x 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 -1 eps) (.f64 x 4)))) (.f64 2 (.f64 2 (.f64 (-.f64 -1 eps) (.f64 x 4))))) 32)
(pow.f64 (*.f64 x (-.f64 -1 eps)) 1)

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

eval174.0ms (1.4%)

Compiler: Compiled 9909 to 7445 computations (24.9% saved)

prune98.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	231	10	241
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	232	10	242

Error

0.0b

Counts

242 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(/.f64 (-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x))))) 2)
	46.9b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (.f64 (-.f64 eps 1) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))) 2)
▶	47.0b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 1 (.f64 x (+.f64 eps 1))))) 2)
	47.1b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
	21.6b	(/.f64 (+.f64 (.f64 x (.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) (-.f64 1 (.f64 (-.f64 eps 1) (/.f64 1 eps)))))) (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) (.f64 1/2 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 2)) (.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (+.f64 eps 1) 2))))) (.f64 (pow.f64 x 3) (-.f64 (.f64 1/6 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 3))) (.f64 (pow.f64 (+.f64 eps 1) 3) (.f64 -1/6 (+.f64 -1 (/.f64 1 eps))))))))) 2)
▶	1.4b	(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps 1))) (exp.f64 (.f64 x (-.f64 -1 eps)))) 2)
▶	0.3b	(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x (-.f64 -1 x)))) 2)
▶	16.2b	(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))))) 2)
	16.2b	(/.f64 (+.f64 2 (.f64 x (.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) (-.f64 1 (*.f64 (-.f64 eps 1) (/.f64 1 eps))))))) 2)
▶	16.2b	(/.f64 2 2)

Compiler

Compiled 588 to 474 computations (19.4% saved)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 55 to 27 computations (50.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite113.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1820×	`rational.json-1`
1820×	`rational.json-2`
1820×	`rational.json-3`
1070×	`rational.json-simplify-35`
1034×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	68
1	78	56
2	180	56
3	428	52
4	946	46
5	2800	46
6	6918	46

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

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

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simplify119.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1962×	`rational.json-simplify-35`
1318×	`rational.json-simplify-50`
1204×	`rational.json-simplify-46`
1186×	`rational.json-simplify-43`
1054×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	362	5473
1	996	5357
2	2697	5301
3	6709	5131

Stop Event

1×	node limit

Counts

171 → 244

Calls

Call 1

Inputs
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x))
(+.f64 (.f64 5/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) x)))
(.f64 2 (.f64 (exp.f64 (neg.f64 x)) x))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 2 (.f64 (exp.f64 (neg.f64 x)) x)))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 2 (.f64 (exp.f64 (neg.f64 x)) x)))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 2 (.f64 (exp.f64 (neg.f64 x)) x)))
(.f64 2 (.f64 (exp.f64 (*.f64 -1 x)) x))
(+.f64 (.f64 2 (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x)))
(+.f64 (.f64 2 (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x)))
(+.f64 (.f64 2 (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x)))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(.f64 2 (.f64 (exp.f64 (neg.f64 x)) x))
(+.f64 (.f64 2 (.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (.f64 2 (.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (.f64 2 (.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(.f64 2 (.f64 (exp.f64 (*.f64 -1 x)) x))
(+.f64 (.f64 2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (.f64 2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (.f64 2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 0)
(+.f64 0 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)))
(+.f64 (.f64 (+.f64 x (+.f64 x 1)) (/.f64 1/2 (exp.f64 x))) (.f64 (+.f64 x (+.f64 x 1)) (/.f64 1/2 (exp.f64 x))))
(-.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 0)
(-.f64 (.f64 (+.f64 x (+.f64 x 1)) (/.f64 1/2 (exp.f64 x))) (/.f64 (-.f64 -1 (+.f64 x x)) (.f64 (exp.f64 x) 2)))
(/.f64 (exp.f64 (neg.f64 x)) (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 -1 (neg.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))
(/.f64 (+.f64 x (+.f64 x 1)) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))
(/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 1)
(/.f64 1 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))
(/.f64 2 (*.f64 (exp.f64 x) (/.f64 2 (+.f64 x (+.f64 x 1)))))
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (neg.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))))
(/.f64 -2 (-.f64 0 (*.f64 (exp.f64 x) (/.f64 2 (+.f64 x (+.f64 x 1))))))
(/.f64 (.f64 (+.f64 x (+.f64 x 1)) 2) (.f64 (exp.f64 x) 2))
(/.f64 (/.f64 2 (exp.f64 x)) (+.f64 (/.f64 -1 (-.f64 -1 (+.f64 x x))) (/.f64 -1 (-.f64 -1 (+.f64 x x)))))
(/.f64 (*.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 2) 2)
(/.f64 (-.f64 -1 (+.f64 x x)) (neg.f64 (exp.f64 x)))
(/.f64 4 (.f64 2 (.f64 (exp.f64 x) (/.f64 2 (+.f64 x (+.f64 x 1))))))
(/.f64 4 (/.f64 (*.f64 (exp.f64 x) 4) (+.f64 x (+.f64 x 1))))
(/.f64 (.f64 (+.f64 x (+.f64 x 1)) 4) (.f64 (exp.f64 x) 4))
(/.f64 (*.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 4) 4)
(/.f64 1/2 (/.f64 (exp.f64 x) (*.f64 (+.f64 x (+.f64 x 1)) 2)))
(/.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (*.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))))
(/.f64 (.f64 (exp.f64 x) (/.f64 2 (+.f64 x (+.f64 x 1)))) (.f64 2 (*.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))))
(/.f64 8 (+.f64 (.f64 2 (.f64 (exp.f64 x) (/.f64 2 (+.f64 x (+.f64 x 1))))) (.f64 2 (.f64 (exp.f64 x) (/.f64 2 (+.f64 x (+.f64 x 1)))))))
(/.f64 8 (+.f64 (/.f64 (.f64 (exp.f64 x) 4) (+.f64 x (+.f64 x 1))) (/.f64 (.f64 (exp.f64 x) 4) (+.f64 x (+.f64 x 1)))))
(/.f64 (.f64 (+.f64 x (+.f64 x 1)) -2) (.f64 2 (neg.f64 (exp.f64 x))))
(/.f64 (.f64 (+.f64 x (+.f64 x 1)) -2) (neg.f64 (.f64 (exp.f64 x) 2)))
(/.f64 (.f64 (+.f64 x (+.f64 x 1)) 8) (.f64 (exp.f64 x) 8))
(/.f64 (*.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 8) 8)
(/.f64 -1/2 (-.f64 0 (/.f64 (exp.f64 x) (*.f64 (+.f64 x (+.f64 x 1)) 2))))
(/.f64 (.f64 (+.f64 x (+.f64 x 1)) 1/2) (.f64 (exp.f64 x) 1/2))
(/.f64 (.f64 (+.f64 x (+.f64 x 1)) 1/2) (/.f64 (exp.f64 (+.f64 x x)) (.f64 (exp.f64 x) 2)))
(/.f64 (*.f64 (+.f64 x (+.f64 x 1)) (/.f64 1/2 (exp.f64 x))) 1/2)
(/.f64 (.f64 2 (.f64 (+.f64 x (+.f64 x 1)) 8)) (.f64 2 (.f64 (exp.f64 x) 8)))
(/.f64 (.f64 2 (.f64 (exp.f64 x) (/.f64 2 (+.f64 x (+.f64 x 1))))) (+.f64 (.f64 2 (.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))) (.f64 2 (.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))))))
(/.f64 (.f64 2 (.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 8)) 16)
(/.f64 (.f64 (-.f64 -1 (+.f64 x x)) 4) (.f64 2 (*.f64 2 (neg.f64 (exp.f64 x)))))
(/.f64 (.f64 (-.f64 -1 (+.f64 x x)) 4) (.f64 2 (neg.f64 (*.f64 (exp.f64 x) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 x (+.f64 x 1)) 8) (exp.f64 x)) 8)
(/.f64 (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x)) -1)
(/.f64 (neg.f64 (.f64 (+.f64 x (+.f64 x 1)) 8)) (-.f64 0 (.f64 (exp.f64 x) 8)))
(/.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (-.f64 0 (*.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))))
(/.f64 (neg.f64 (.f64 (+.f64 x (+.f64 x 1)) 4)) (neg.f64 (.f64 (exp.f64 x) 4)))
(/.f64 (neg.f64 (.f64 (+.f64 x (+.f64 x 1)) -2)) (.f64 (exp.f64 x) 2))
(/.f64 (neg.f64 (.f64 (+.f64 x (+.f64 x 1)) -2)) (-.f64 0 (.f64 2 (neg.f64 (exp.f64 x)))))
(/.f64 (neg.f64 (.f64 (+.f64 x (+.f64 x 1)) -2)) (-.f64 0 (neg.f64 (.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 8)) (.f64 2 (.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 8))) 32)
(/.f64 (+.f64 (.f64 (-.f64 -1 (+.f64 x x)) 4) (.f64 (-.f64 -1 (+.f64 x x)) 4)) (+.f64 (.f64 2 (.f64 2 (neg.f64 (exp.f64 x)))) (.f64 2 (.f64 2 (neg.f64 (exp.f64 x))))))
(/.f64 (+.f64 (.f64 (-.f64 -1 (+.f64 x x)) 4) (.f64 (-.f64 -1 (+.f64 x x)) 4)) (+.f64 (.f64 2 (neg.f64 (.f64 (exp.f64 x) 2))) (.f64 2 (neg.f64 (.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 (/.f64 (.f64 (+.f64 x (+.f64 x 1)) 8) (exp.f64 x)) (/.f64 (.f64 (+.f64 x (+.f64 x 1)) 8) (exp.f64 x))) 16)
(/.f64 (+.f64 (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x)) (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x))) -2)
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 x (+.f64 x 1)) 4)) (neg.f64 (.f64 (+.f64 x (+.f64 x 1)) 4))) (+.f64 (neg.f64 (.f64 (exp.f64 x) 4)) (neg.f64 (.f64 (exp.f64 x) 4))))
(/.f64 (+.f64 (neg.f64 (.f64 (+.f64 x (+.f64 x 1)) -2)) (neg.f64 (.f64 (+.f64 x (+.f64 x 1)) -2))) (*.f64 (exp.f64 x) 4))
(/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (-.f64 0 (/.f64 -1 (-.f64 -1 (+.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 x (+.f64 x 1)) 1/2)) (-.f64 0 (.f64 (exp.f64 x) 1/2)))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 x (+.f64 x 1)) 4))) (.f64 (exp.f64 x) 4))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 x (+.f64 x 1)) -2))) (neg.f64 (.f64 (exp.f64 x) 2)))
(pow.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 1)
(neg.f64 (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x)))
(-.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 0)
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 x 2)))
(.f64 (.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 1)
(.f64 1 (.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))))
(.f64 (exp.f64 x) (.f64 (+.f64 x 1) (/.f64 2 (exp.f64 (+.f64 x x)))))
(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
(.f64 2 (+.f64 (.f64 (+.f64 x (+.f64 x 1)) (/.f64 1/2 (exp.f64 x))) (/.f64 1/2 (exp.f64 x))))
(.f64 2 (+.f64 (/.f64 1/2 (exp.f64 x)) (.f64 (+.f64 x (+.f64 x 1)) (/.f64 1/2 (exp.f64 x)))))
(.f64 (.f64 4 (/.f64 (+.f64 x 1) (exp.f64 x))) 1/2)
(.f64 (+.f64 -2 (.f64 x -2)) (*.f64 (exp.f64 (neg.f64 x)) -1))
(*.f64 (/.f64 2 (exp.f64 x)) (+.f64 x 1))
(.f64 (/.f64 2 (exp.f64 x)) (+.f64 (.f64 (+.f64 x (+.f64 x 1)) 1/2) 1/2))
(.f64 (/.f64 2 (exp.f64 x)) (+.f64 1/2 (.f64 (+.f64 x (+.f64 x 1)) 1/2)))
(.f64 (.f64 (exp.f64 x) 2) (.f64 (+.f64 x 1) (exp.f64 (.f64 x -2))))
(*.f64 (+.f64 x 1) (/.f64 2 (exp.f64 x)))
(*.f64 (+.f64 x (+.f64 x 2)) (exp.f64 (neg.f64 x)))
(.f64 4 (/.f64 (.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 4))
(.f64 4 (.f64 (+.f64 x 1) (/.f64 1/2 (exp.f64 x))))
(.f64 (.f64 8 (/.f64 (+.f64 x 1) (exp.f64 x))) 1/4)
(.f64 (.f64 (exp.f64 x) 4) (.f64 (/.f64 1 (.f64 2 (exp.f64 (+.f64 x x)))) (+.f64 x 1)))
(.f64 (.f64 (exp.f64 (neg.f64 x)) 4) (*.f64 (+.f64 x 1) 1/2))
(.f64 1/2 (.f64 4 (/.f64 (+.f64 x 1) (exp.f64 x))))
(.f64 1/2 (+.f64 (.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 2) (/.f64 2 (exp.f64 x))))
(.f64 1/2 (+.f64 (/.f64 2 (exp.f64 x)) (.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 2)))
(*.f64 (exp.f64 -1) (/.f64 (+.f64 x (+.f64 x 2)) (exp.f64 (+.f64 x -1))))
(.f64 (exp.f64 (-.f64 1 x)) (.f64 2 (*.f64 (+.f64 x 1) (exp.f64 -1))))
(.f64 (exp.f64 (-.f64 1 x)) (+.f64 (exp.f64 -1) (.f64 (+.f64 x (+.f64 x 1)) (exp.f64 -1))))
(.f64 8 (.f64 (/.f64 (exp.f64 (neg.f64 x)) 4) (+.f64 x 1)))
(.f64 (.f64 (+.f64 x 1) 4) (/.f64 1/2 (exp.f64 x)))
(.f64 (.f64 (exp.f64 (neg.f64 x)) 8) (*.f64 1/4 (+.f64 x 1)))
(.f64 (.f64 2 (exp.f64 (-.f64 1 x))) (*.f64 (+.f64 x 1) (exp.f64 -1)))
(.f64 (.f64 2 (exp.f64 (-.f64 1 x))) (*.f64 (/.f64 (exp.f64 -1) 2) (+.f64 x (+.f64 x 2))))
(*.f64 (/.f64 (+.f64 x (+.f64 x 2)) (exp.f64 (+.f64 x -1))) (exp.f64 -1))
(*.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 2)
(.f64 (/.f64 1/2 (exp.f64 x)) (.f64 (+.f64 x 1) 4))
(.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 (.f64 (+.f64 x (+.f64 x 1)) 2) 2))
(.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 2 (.f64 (+.f64 x (+.f64 x 1)) 2)))
(.f64 (.f64 2 (exp.f64 -1)) (*.f64 (+.f64 x 1) (exp.f64 (-.f64 1 x))))
(.f64 (.f64 2 (exp.f64 -1)) (*.f64 (/.f64 (exp.f64 (-.f64 1 x)) 2) (+.f64 x (+.f64 x 2))))
(.f64 (.f64 2 (*.f64 (+.f64 x 1) (exp.f64 -1))) (exp.f64 (-.f64 1 x)))
(.f64 1/4 (.f64 8 (/.f64 (+.f64 x 1) (exp.f64 x))))
(.f64 (/.f64 (.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 4) 4)
(*.f64 (+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x)))) (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)))
(.f64 (.f64 (+.f64 x 1) (/.f64 1/2 (exp.f64 x))) 4)
(.f64 (.f64 (+.f64 x 1) 1/2) (*.f64 (exp.f64 (neg.f64 x)) 4))
(.f64 (.f64 (+.f64 x 1) (exp.f64 (-.f64 1 x))) (*.f64 2 (exp.f64 -1)))
(.f64 (.f64 (+.f64 x 1) (exp.f64 -1)) (*.f64 2 (exp.f64 (-.f64 1 x))))
(.f64 (+.f64 (exp.f64 (.f64 x -2)) (exp.f64 (.f64 x -2))) (.f64 (exp.f64 x) (+.f64 x 1)))
(.f64 (+.f64 (.f64 2 (exp.f64 (-.f64 1 x))) (.f64 2 (exp.f64 (-.f64 1 x)))) (.f64 (/.f64 (exp.f64 -1) 2) (+.f64 x 1)))
(.f64 (+.f64 (/.f64 2 (exp.f64 (+.f64 x x))) (/.f64 2 (exp.f64 (+.f64 x x)))) (.f64 (*.f64 (exp.f64 x) 1/2) (+.f64 x 1)))
(/.f64 (-.f64 -1 x) (-.f64 0 (*.f64 (exp.f64 x) 1/2)))
(/.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 1)
(/.f64 1 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 2))))
(/.f64 2 (/.f64 (exp.f64 x) (+.f64 x 1)))
(/.f64 2 (+.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 2))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 2)))))
(/.f64 (*.f64 4 (/.f64 (+.f64 x 1) (exp.f64 x))) 2)
(/.f64 (+.f64 -2 (*.f64 x -2)) (neg.f64 (exp.f64 x)))
(/.f64 (+.f64 x 1) (*.f64 (exp.f64 x) 1/2))
(/.f64 (+.f64 x 1) (/.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 x (+.f64 x 2)) (exp.f64 x))
(/.f64 (+.f64 x (+.f64 x 2)) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)))
(/.f64 4 (/.f64 (*.f64 (exp.f64 x) 2) (+.f64 x 1)))
(/.f64 4 (+.f64 (/.f64 (exp.f64 x) (+.f64 x 1)) (/.f64 (exp.f64 x) (+.f64 x 1))))
(/.f64 (*.f64 8 (/.f64 (+.f64 x 1) (exp.f64 x))) 4)
(/.f64 (.f64 (-.f64 -1 x) 4) (.f64 2 (neg.f64 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (/.f64 (exp.f64 x) (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))))
(/.f64 8 (+.f64 (/.f64 (.f64 (exp.f64 x) 2) (+.f64 x 1)) (/.f64 (.f64 (exp.f64 x) 2) (+.f64 x 1))))
(/.f64 (.f64 (+.f64 x 1) 4) (.f64 (exp.f64 x) 2))
(/.f64 (.f64 (.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 8) 8)
(/.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 1/2)
(/.f64 (.f64 2 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))) (.f64 (exp.f64 x) (*.f64 (exp.f64 x) (/.f64 2 (+.f64 x (+.f64 x 1))))))
(/.f64 (.f64 2 (.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 8)) 16)
(/.f64 (.f64 2 (.f64 (+.f64 x 1) 4)) (*.f64 (exp.f64 x) 4))
(/.f64 (/.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (exp.f64 x)) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))
(/.f64 (/.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (exp.f64 x))
(/.f64 (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x)) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))) (*.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (/.f64 (exp.f64 (+.f64 x x)) (exp.f64 x))))
(/.f64 (+.f64 (.f64 2 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))) (.f64 2 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))))) (+.f64 (.f64 (exp.f64 x) (.f64 (exp.f64 x) (/.f64 2 (+.f64 x (+.f64 x 1))))) (.f64 (exp.f64 x) (.f64 (exp.f64 x) (/.f64 2 (+.f64 x (+.f64 x 1)))))))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 8)) (.f64 2 (.f64 (.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 8))) 32)
(/.f64 (+.f64 (/.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (exp.f64 x)) (/.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (exp.f64 x))) (*.f64 (exp.f64 x) (/.f64 2 (+.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 (/.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (/.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))) (*.f64 (exp.f64 x) 2))
(/.f64 (neg.f64 (.f64 (+.f64 x 1) 4)) (neg.f64 (.f64 (exp.f64 x) 2)))
(/.f64 (neg.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))) (-.f64 0 (/.f64 (exp.f64 x) (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)))))
(/.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (exp.f64 x))) (neg.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))))
(/.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))) (neg.f64 (exp.f64 x)))
(pow.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 1)

Outputs
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 -3/2 (pow.f64 x 2)) (+.f64 1 x))
(+.f64 1 (+.f64 x (*.f64 -3/2 (pow.f64 x 2))))
(+.f64 x (+.f64 1 (*.f64 -3/2 (pow.f64 x 2))))
(+.f64 (.f64 5/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) x)))
(+.f64 (+.f64 (.f64 -3/2 (pow.f64 x 2)) (+.f64 1 x)) (.f64 5/6 (pow.f64 x 3)))
(+.f64 1 (+.f64 (+.f64 x (.f64 -3/2 (pow.f64 x 2))) (.f64 5/6 (pow.f64 x 3))))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) (+.f64 x (.f64 5/6 (pow.f64 x 3)))))
(.f64 2 (.f64 (exp.f64 (neg.f64 x)) x))
(.f64 (exp.f64 (neg.f64 x)) (.f64 x 2))
(.f64 x (.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 2 (.f64 (exp.f64 (neg.f64 x)) x)))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (.f64 x 2)))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 x (.f64 2 (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 2 (.f64 (exp.f64 (neg.f64 x)) x)))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (.f64 x 2)))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 x (.f64 2 (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 2 (.f64 (exp.f64 (neg.f64 x)) x)))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (.f64 x 2)))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 x (.f64 2 (exp.f64 (neg.f64 x)))))
(.f64 2 (.f64 (exp.f64 (*.f64 -1 x)) x))
(.f64 (exp.f64 (neg.f64 x)) (.f64 x 2))
(.f64 x (.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (.f64 2 (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (.f64 x 2)))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 x (.f64 2 (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 2 (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (.f64 x 2)))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 x (.f64 2 (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 2 (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (.f64 x 2)))
(+.f64 (exp.f64 (neg.f64 x)) (.f64 x (.f64 2 (exp.f64 (neg.f64 x)))))
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (*.f64 (pow.f64 x 2) -1))
(+.f64 2 (neg.f64 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 2) -1) (+.f64 (.f64 (pow.f64 x 3) 2/3) 2))
(+.f64 2 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3)))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (.f64 -1/4 (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 x 2) -1) (*.f64 (pow.f64 x 3) 2/3))))
(+.f64 2 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 -1/4 (pow.f64 x 4)) 2)))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 2 (.f64 -1/4 (pow.f64 x 4)))))
(.f64 2 (.f64 (exp.f64 (neg.f64 x)) x))
(.f64 (exp.f64 (neg.f64 x)) (.f64 x 2))
(.f64 x (.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (.f64 2 (.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x 2)) (*.f64 2 (exp.f64 (neg.f64 x))))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x 2)))
(+.f64 (.f64 2 (.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x 2)) (*.f64 2 (exp.f64 (neg.f64 x))))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x 2)))
(+.f64 (.f64 2 (.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x 2)) (*.f64 2 (exp.f64 (neg.f64 x))))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x 2)))
(.f64 2 (.f64 (exp.f64 (*.f64 -1 x)) x))
(.f64 (exp.f64 (neg.f64 x)) (.f64 x 2))
(.f64 x (.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (.f64 2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x 2)) (*.f64 2 (exp.f64 (neg.f64 x))))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x 2)))
(+.f64 (.f64 2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x 2)) (*.f64 2 (exp.f64 (neg.f64 x))))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x 2)))
(+.f64 (.f64 2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 2 (exp.f64 (*.f64 -1 x))))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x 2)) (*.f64 2 (exp.f64 (neg.f64 x))))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (.f64 x 2)))
(+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 0)
(/.f64 (+.f64 x (+.f64 1 x)) (exp.f64 x))
(/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))
(+.f64 0 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)))
(/.f64 (+.f64 x (+.f64 1 x)) (exp.f64 x))
(/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))
(+.f64 (.f64 (+.f64 x (+.f64 x 1)) (/.f64 1/2 (exp.f64 x))) (.f64 (+.f64 x (+.f64 x 1)) (/.f64 1/2 (exp.f64 x))))
(/.f64 (+.f64 x (+.f64 1 x)) (exp.f64 x))
(/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))
(-.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 0)
(/.f64 (+.f64 x (+.f64 1 x)) (exp.f64 x))
(/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x))
(-.f64 (.f64 (+.f64 x (+.f64 x 1)) (/.f64 1/2 (exp.f64 x))) (/.f64 (-.f64 -1 (+.f64 x x)) (.f64 (exp.f64 x) 2)))
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(/.f64 (+.f64 (/.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (/.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))) (*.f64 (exp.f64 x) 2))
(*.f64 (/.f64 (+.f64 x (+.f64 1 x)) (exp.f64 x)) (+.f64 1 (/.f64 1 (-.f64 (+.f64 x x) -1))))
(*.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) (+.f64 1 (/.f64 1 (+.f64 1 (+.f64 x x)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))
(/.f64 (neg.f64 (.f64 (+.f64 x 1) 4)) (neg.f64 (.f64 (exp.f64 x) 2)))
(*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))) (-.f64 0 (/.f64 (exp.f64 x) (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)))))
(*.f64 (/.f64 (+.f64 x (+.f64 1 x)) (exp.f64 x)) (+.f64 1 (/.f64 1 (-.f64 (+.f64 x x) -1))))
(*.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) (+.f64 1 (/.f64 1 (+.f64 1 (+.f64 x x)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))
(/.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (exp.f64 x))) (neg.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))))
(*.f64 (/.f64 (+.f64 x (+.f64 1 x)) (exp.f64 x)) (+.f64 1 (/.f64 1 (-.f64 (+.f64 x x) -1))))
(*.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) (+.f64 1 (/.f64 1 (+.f64 1 (+.f64 x x)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))
(/.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))) (neg.f64 (exp.f64 x)))
(*.f64 (/.f64 (+.f64 x (+.f64 1 x)) (exp.f64 x)) (+.f64 1 (/.f64 1 (-.f64 (+.f64 x x) -1))))
(*.f64 (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)) (+.f64 1 (/.f64 1 (+.f64 1 (+.f64 x x)))))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 1 (+.f64 x x)) (exp.f64 x)))
(pow.f64 (*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x))) 1)
(*.f64 2 (/.f64 (+.f64 1 x) (exp.f64 x)))

localize3.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1 (/.f64 1 eps))
✓	0.0b	(+.f64 1 (/.f64 1 eps))
✓	0.0b	(*.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))
✓	1.7b	(-.f64 (.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1))))

Compiler

Compiled 141 to 110 computations (22% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(-.f64 (.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1))))
1.0ms	eps	@	-inf	(-.f64 (.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1))))
0.0ms	eps	@	inf	(-.f64 (.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1))))
0.0ms	eps	@	0	(*.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))
0.0ms	eps	@	-inf	(*.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1356×	`rational.json-simplify-35`
1268×	`rational.json-simplify-2`
1158×	`rational.json-1`
1158×	`rational.json-2`
1158×	`rational.json-4`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	114
1	116	114
2	241	106
3	526	98
4	1224	70
5	3846	40

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

Inputs
(-.f64 (.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1))))
(*.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))
(+.f64 1 (/.f64 1 eps))
(+.f64 -1 (/.f64 1 eps))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 (/.f64 1 eps) (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (/.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 eps (/.f64 -1 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 eps (/.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 eps (/.f64 -1 eps)) 1/2) (.f64 (+.f64 eps (/.f64 -1 eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 1 eps)) (+.f64 1 (/.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 eps (/.f64 -1 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 1 eps) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 -1 eps)) (-.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 eps) (/.f64 eps (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 eps (/.f64 -1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 eps 1) (/.f64 eps (+.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 eps) (-.f64 0 (/.f64 eps (+.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 eps (+.f64 eps -2)) (/.f64 1 (+.f64 1/2 (/.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 eps (/.f64 -1 eps)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 eps (+.f64 eps 2)) (+.f64 2 (/.f64 2 (+.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 eps) (-.f64 0 (/.f64 eps (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 eps (/.f64 -1 eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (.f64 eps eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 eps) (neg.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 eps (/.f64 -1 eps)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 -1 (.f64 eps eps))) (+.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 eps (/.f64 -1 eps)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 eps (/.f64 -1 eps)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 eps (/.f64 -1 eps)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (*.f64 eps eps))) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 eps (/.f64 -1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (/.f64 1 eps) (neg.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 -1 (/.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 eps) (+.f64 eps 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (/.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 eps 1) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 eps) (/.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 1/2 (/.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (/.f64 2 eps)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 1 (/.f64 1 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 eps 1) (.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 eps (+.f64 eps 2)) (/.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 eps) (.f64 (+.f64 eps 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 eps 1) 4) (/.f64 1 (.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (/.f64 eps (+.f64 eps 1))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 2 (/.f64 2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 eps) (-.f64 -1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (/.f64 -1 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (/.f64 (+.f64 (.f64 eps -2) -2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 eps 1) 1/2) (/.f64 2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 eps 1) -1/2) (/.f64 -2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 eps) (+.f64 eps (+.f64 eps 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 4 (/.f64 eps (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/2 (/.f64 1/2 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 eps -2) -2) eps) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (/.f64 1 eps)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 eps 1) (.f64 eps 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 eps 4)) (.f64 (+.f64 eps 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 eps) (.f64 (+.f64 eps 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (neg.f64 (+.f64 eps eps)) -2) 1) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (.f64 eps eps) eps) 1) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 eps (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 eps (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 eps (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 eps 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 eps) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 1 (+.f64 1/2 (/.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 eps -2) (-.f64 -1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (/.f64 2 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 2 (+.f64 1/2 (/.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (.f64 eps -2) (-.f64 -1 eps)) (/.f64 (.f64 eps -2) (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 eps (+.f64 eps 2)) (+.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 eps (+.f64 eps 2)) (.f64 -2 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (+.f64 (/.f64 eps (-.f64 -1 eps)) (/.f64 eps (-.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 1 (+.f64 1/2 (/.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 eps -2) -2) (.f64 eps -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 eps -2) -2) (neg.f64 (+.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (.f64 2 (/.f64 2 (+.f64 1/2 (/.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (/.f64 (.f64 eps 8) (+.f64 eps 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 eps 1) 4) (.f64 eps 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 eps 1) 4) (.f64 (neg.f64 eps) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 eps 1) 4) (+.f64 (.f64 -2 (neg.f64 eps)) (.f64 -2 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (/.f64 eps (+.f64 eps 1))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (-.f64 0 (/.f64 2 (+.f64 1/2 (/.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 eps 1) -4) (.f64 2 (.f64 eps -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 eps 1) -4) (.f64 2 (neg.f64 (+.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 eps 1) -4) (neg.f64 (.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 eps 1) -4) (.f64 4 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 eps 1) 4)) (.f64 eps 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 eps 1) 4)) (.f64 (neg.f64 eps) -8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 eps 1) 4)) (+.f64 (.f64 (neg.f64 eps) -4) (.f64 (neg.f64 eps) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 eps 1) -4)) (.f64 (neg.f64 eps) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 eps 1) -4)) (+.f64 (.f64 4 (neg.f64 eps)) (.f64 4 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (+.f64 (.f64 2 (/.f64 2 (+.f64 1/2 (/.f64 1/2 eps)))) (.f64 2 (/.f64 2 (+.f64 1/2 (/.f64 1/2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 16 (+.f64 (/.f64 (.f64 eps 8) (+.f64 eps 1)) (/.f64 (.f64 eps 8) (+.f64 eps 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 4 (/.f64 eps (+.f64 eps 1)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 -1 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 eps 1) 1/2) (.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 eps 1) -1/2) (-.f64 0 (.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (/.f64 1/2 eps)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (+.f64 1/2 (/.f64 1/2 eps))) (.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 eps))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 eps 1) 4))) (.f64 2 (.f64 eps 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify94.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1500×	`rational.json-simplify-35`
1358×	`rational.json-simplify-61`
1046×	`rational.json-simplify-46`
950×	`rational.json-simplify-1`
702×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	306	2890
1	783	2890
2	2086	2834
3	6850	2828

Stop Event

1×	node limit

Counts

210 → 187

Calls

Call 1

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

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 eps 1))
	0.0b	(exp.f64 (*.f64 x (+.f64 eps -1)))
✓	0.1b	(.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 1 (.f64 x (+.f64 eps 1))))
✓	3.5b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 1 (.f64 x (+.f64 eps 1)))))

Compiler

Compiled 128 to 95 computations (25.8% saved)

series6.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 1 (.f64 x (+.f64 eps 1)))))
1.0ms	eps	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 1 (.f64 x (+.f64 eps 1)))))
1.0ms	x	@	inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 1 (.f64 x (+.f64 eps 1)))))
0.0ms	eps	@	-inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 1 (.f64 x (+.f64 eps 1)))))
0.0ms	eps	@	inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 1 (.f64 x (+.f64 eps 1)))))

rewrite105.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`rational.json-simplify-35`
1138×	`rational.json-1`
1138×	`rational.json-2`
1138×	`rational.json-4`
1138×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	127
1	141	127
2	274	127
3	588	127
4	1264	127
5	3745	127

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

Inputs

(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (*.f64 x (+.f64 eps -1)))) (*.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 1 (*.f64 x (+.f64 eps 1)))))

(*.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 1 (*.f64 x (+.f64 eps 1))))

(*.f64 x (+.f64 eps 1))

Outputs

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

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

simplify360.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1974×	`rational.json-simplify-35`
1172×	`rational.json-simplify-2`
1066×	`rational.json-simplify-1`
874×	`rational.json-simplify-51`
780×	`rational.json-simplify-48`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	256	7392
1	615	7084
2	1190	6984
3	2731	6824
4	5098	6760
5	6166	6476
6	7772	6476

Stop Event

1×	node limit

Counts

134 → 211

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 63 to 43 computations (31.7% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite130.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`rational.json-simplify-35`
1540×	`rational.json-1`
1540×	`rational.json-2`
1540×	`rational.json-3`
1218×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	68	30
2	151	30
3	283	30
4	507	30
5	1090	30
6	2735	30
7	4667	30
8	5831	30
9	7533	30

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational.json-simplify-38`
866×	`rational.json-simplify-61`
862×	`rational.json-simplify-44`
760×	`rational.json-simplify-39`
736×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	2358
1	400	2074
2	1235	2034
3	5338	2018

Stop Event

1×	node limit

Counts

106 → 109

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 (-.f64 eps 1) x) (.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 -1 x))
(+.f64 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 eps (.f64 (exp.f64 (.f64 -1 x)) x)) (exp.f64 (.f64 -1 x)))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 (-.f64 eps 1) x)
(*.f64 -1 x)
(+.f64 (.f64 eps x) (.f64 -1 x))
(+.f64 (.f64 eps x) (.f64 -1 x))
(+.f64 (.f64 eps x) (.f64 -1 x))
(*.f64 eps x)
(+.f64 (.f64 eps x) (.f64 -1 x))
(+.f64 (.f64 eps x) (.f64 -1 x))
(+.f64 (.f64 eps x) (.f64 -1 x))
(*.f64 eps x)
(+.f64 (.f64 eps x) (.f64 -1 x))
(+.f64 (.f64 eps x) (.f64 -1 x))
(+.f64 (.f64 eps x) (.f64 -1 x))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 0)
(+.f64 0 (exp.f64 (*.f64 x (+.f64 eps -1))))
(+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 1/2) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 1/2))
(-.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 0)
(.f64 1 (exp.f64 (.f64 x (+.f64 eps -1))))
(.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 1)
(.f64 2 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/2))
(.f64 2 (fabs.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/2)))
(.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 2) 1/2)
(.f64 4 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/4))
(.f64 4 (fabs.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/4)))
(.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 4) 1/4)
(.f64 1/2 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 2))
(.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 8) 1/8)
(.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/2) 2)
(.f64 1/4 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 4))
(.f64 1/4 (fabs.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 4)))
(.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/4) 4)
(.f64 1/8 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 8))
(.f64 1/8 (fabs.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 8)))
(.f64 (exp.f64 (.f64 x (.f64 (+.f64 eps -1) 1/2))) (exp.f64 (.f64 x (*.f64 (+.f64 eps -1) 1/2))))
(.f64 (fabs.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/2)) 2)
(.f64 (fabs.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/4)) 4)
(.f64 (fabs.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 4)) 1/4)
(.f64 (fabs.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 8)) 1/8)
(/.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1)
(/.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 2) 2)
(/.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 4) 4)
(/.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 8) 8)
(/.f64 (.f64 2 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 8))))) 128)
(/.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (exp.f64 (.f64 x (+.f64 eps -1)))) (exp.f64 (.f64 x (+.f64 eps -1))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 8)))))) 256)
(/.f64 (fabs.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 4)) 4)
(/.f64 (fabs.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 8)) 8)
(/.f64 (fabs.f64 (.f64 2 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 8))) 16)
(/.f64 (fabs.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 8)))) 32)
(/.f64 (fabs.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 8))))) 64)
(/.f64 (fabs.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 8)))))) 128)
(pow.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1)
(fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1))))
(fabs.f64 (-.f64 0 (exp.f64 (*.f64 x (+.f64 eps -1)))))
(+.f64 (*.f64 x (+.f64 eps -1)) 0)
(+.f64 0 (*.f64 x (+.f64 eps -1)))
(+.f64 (.f64 x (.f64 (+.f64 eps -1) 1/2)) (.f64 x (.f64 (+.f64 eps -1) 1/2)))
(-.f64 (*.f64 x (+.f64 eps -1)) 0)
(/.f64 (*.f64 x (+.f64 eps -1)) 1)
(/.f64 (*.f64 x (+.f64 eps (+.f64 eps -2))) 2)
(/.f64 (.f64 x (.f64 (+.f64 eps -1) 4)) 4)
(/.f64 (.f64 x (.f64 (+.f64 eps -1) 8)) 8)
(/.f64 (.f64 2 (.f64 x (*.f64 (+.f64 eps -1) 8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 x (.f64 (+.f64 eps -1) 8)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 x (*.f64 (+.f64 eps -1) 8))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x (.f64 (+.f64 eps -1) 8)))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x (.f64 (+.f64 eps -1) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x (.f64 (+.f64 eps -1) 8))))))) 256)
(pow.f64 (*.f64 x (+.f64 eps -1)) 1)

Outputs
1
(+.f64 1 (*.f64 (-.f64 eps 1) x))
(+.f64 1 (*.f64 x (+.f64 eps -1)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (*.f64 (-.f64 eps 1) x)))
(+.f64 1 (+.f64 (.f64 x (+.f64 eps -1)) (.f64 1/2 (pow.f64 (*.f64 x (+.f64 eps -1)) 2))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 (.f64 x (+.f64 eps -1)) 2)) (*.f64 x (+.f64 eps -1))))
(+.f64 (+.f64 1 (.f64 x (+.f64 eps -1))) (.f64 1/2 (pow.f64 (*.f64 x (+.f64 eps -1)) 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 (-.f64 eps 1) x) (.f64 1/6 (*.f64 (pow.f64 (-.f64 eps 1) 3) (pow.f64 x 3))))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 x (+.f64 eps -1)) 2)) (+.f64 (.f64 x (+.f64 eps -1)) (+.f64 (.f64 1/6 (pow.f64 (*.f64 x (+.f64 eps -1)) 3)) 1)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 (.f64 x (+.f64 eps -1)) 2)) (+.f64 (.f64 1/6 (pow.f64 (.f64 x (+.f64 eps -1)) 3)) (*.f64 x (+.f64 eps -1)))))
(+.f64 (.f64 1/2 (pow.f64 (.f64 x (+.f64 eps -1)) 2)) (+.f64 (+.f64 1 (.f64 x (+.f64 eps -1))) (.f64 1/6 (pow.f64 (*.f64 x (+.f64 eps -1)) 3))))
(exp.f64 (*.f64 (-.f64 eps 1) x))
(exp.f64 (*.f64 x (+.f64 eps -1)))
(exp.f64 (*.f64 (-.f64 eps 1) x))
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(exp.f64 (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 eps))))
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(-.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 0)
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(.f64 1 (exp.f64 (.f64 x (+.f64 eps -1))))
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(.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 1)
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(.f64 2 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/2))
(exp.f64 (*.f64 x (+.f64 eps -1)))
(.f64 2 (fabs.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/2)))
(.f64 2 (.f64 (fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))) 1/2))
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(.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 2) 1/2)
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(.f64 4 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/4))
(exp.f64 (*.f64 x (+.f64 eps -1)))
(.f64 4 (fabs.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/4)))
(.f64 2 (.f64 (fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))) 1/2))
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(.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 4) 1/4)
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(.f64 1/2 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 2))
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(.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 8) 1/8)
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(.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/2) 2)
(exp.f64 (*.f64 x (+.f64 eps -1)))
(.f64 1/4 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 4))
(exp.f64 (*.f64 x (+.f64 eps -1)))
(.f64 1/4 (fabs.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 4)))
(.f64 2 (.f64 (fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))) 1/2))
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(.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/4) 4)
(exp.f64 (*.f64 x (+.f64 eps -1)))
(.f64 1/8 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 8))
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(.f64 1/8 (fabs.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 8)))
(.f64 2 (.f64 (fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))) 1/2))
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(.f64 (exp.f64 (.f64 x (.f64 (+.f64 eps -1) 1/2))) (exp.f64 (.f64 x (*.f64 (+.f64 eps -1) 1/2))))
(exp.f64 (+.f64 (.f64 x (.f64 1/2 (+.f64 eps -1))) (.f64 x (.f64 1/2 (+.f64 eps -1)))))
(exp.f64 (.f64 (.f64 1/2 (+.f64 eps -1)) (+.f64 x x)))
(exp.f64 (.f64 x (.f64 (+.f64 eps -1) 1)))
(.f64 (fabs.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1/2)) 2)
(.f64 2 (.f64 (fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))) 1/2))
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(.f64 (fabs.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 4)) 1/4)
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(.f64 (fabs.f64 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 8)) 1/8)
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(/.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 8) 8)
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(/.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 8))) 32)
(exp.f64 (*.f64 x (+.f64 eps -1)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 8)))) 64)
(exp.f64 (*.f64 x (+.f64 eps -1)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 8))))) 128)
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(exp.f64 (*.f64 x (+.f64 eps -1)))
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(.f64 2 (.f64 (fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))) 1/2))
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(/.f64 (fabs.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 8)) 8)
(.f64 2 (.f64 (fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))) 1/2))
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(/.f64 (fabs.f64 (.f64 2 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 8))) 16)
(.f64 2 (.f64 (fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))) 1/2))
(fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1))))
(/.f64 (fabs.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 8)))) 32)
(.f64 2 (.f64 (fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))) 1/2))
(fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1))))
(/.f64 (fabs.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 8))))) 64)
(.f64 2 (.f64 (fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))) 1/2))
(fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1))))
(/.f64 (fabs.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 8)))))) 128)
(.f64 2 (.f64 (fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))) 1/2))
(fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1))))
(pow.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1)
(exp.f64 (*.f64 x (+.f64 eps -1)))
(fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1))))
(.f64 2 (.f64 (fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))) 1/2))
(fabs.f64 (-.f64 0 (exp.f64 (*.f64 x (+.f64 eps -1)))))
(.f64 2 (.f64 (fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))) 1/2))
(fabs.f64 (exp.f64 (*.f64 x (+.f64 eps -1))))
(+.f64 (*.f64 x (+.f64 eps -1)) 0)
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(+.f64 (.f64 x (.f64 1/2 (+.f64 eps -1))) (.f64 x (.f64 1/2 (+.f64 eps -1))))
(.f64 (.f64 1/2 (+.f64 eps -1)) (+.f64 x x))
(.f64 x (.f64 (+.f64 eps -1) 1))
(-.f64 (*.f64 x (+.f64 eps -1)) 0)
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(/.f64 (*.f64 x (+.f64 eps -1)) 1)
(*.f64 x (+.f64 eps -1))
(/.f64 (*.f64 x (+.f64 eps (+.f64 eps -2))) 2)
(*.f64 x (+.f64 eps -1))
(/.f64 (.f64 x (.f64 (+.f64 eps -1) 4)) 4)
(.f64 (.f64 (+.f64 eps -1) 4) (/.f64 x 4))
(.f64 x (/.f64 (.f64 (+.f64 eps -1) 4) 4))
(.f64 1/8 (.f64 (+.f64 eps -1) (*.f64 x 8)))
(/.f64 (.f64 x (.f64 (+.f64 eps -1) 8)) 8)
(.f64 (.f64 (+.f64 eps -1) 4) (/.f64 x 4))
(.f64 x (/.f64 (.f64 (+.f64 eps -1) 4) 4))
(.f64 1/8 (.f64 (+.f64 eps -1) (*.f64 x 8)))
(/.f64 (.f64 2 (.f64 x (*.f64 (+.f64 eps -1) 8))) 16)
(.f64 (.f64 (+.f64 eps -1) 4) (/.f64 x 4))
(.f64 x (/.f64 (.f64 (+.f64 eps -1) 4) 4))
(.f64 1/8 (.f64 (+.f64 eps -1) (*.f64 x 8)))
(/.f64 (.f64 2 (.f64 2 (.f64 x (.f64 (+.f64 eps -1) 8)))) 32)
(.f64 (.f64 (+.f64 eps -1) 4) (/.f64 x 4))
(.f64 x (/.f64 (.f64 (+.f64 eps -1) 4) 4))
(.f64 1/8 (.f64 (+.f64 eps -1) (*.f64 x 8)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 x (*.f64 (+.f64 eps -1) 8))))) 64)
(.f64 (.f64 (+.f64 eps -1) 4) (/.f64 x 4))
(.f64 x (/.f64 (.f64 (+.f64 eps -1) 4) 4))
(.f64 1/8 (.f64 (+.f64 eps -1) (*.f64 x 8)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x (.f64 (+.f64 eps -1) 8)))))) 128)
(.f64 (.f64 (+.f64 eps -1) 4) (/.f64 x 4))
(.f64 x (/.f64 (.f64 (+.f64 eps -1) 4) 4))
(.f64 1/8 (.f64 (+.f64 eps -1) (*.f64 x 8)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x (.f64 (+.f64 eps -1) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 x (.f64 (+.f64 eps -1) 8))))))) 256)
(.f64 (.f64 (+.f64 eps -1) 4) (/.f64 x 4))
(.f64 x (/.f64 (.f64 (+.f64 eps -1) 4) 4))
(.f64 1/8 (.f64 (+.f64 eps -1) (*.f64 x 8)))
(pow.f64 (*.f64 x (+.f64 eps -1)) 1)
(*.f64 x (+.f64 eps -1))

eval927.0ms (7.4%)

Compiler: Compiled 23491 to 17170 computations (26.9% saved)

prune365.0ms (2.9%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	871	15	886
Fresh	5	0	5
Picked	1	0	1
Done	2	2	4
Total	879	17	896

Error

0.0b

Counts

896 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (/.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 1/2) 2)
▶	0.3b	(/.f64 (/.f64 2 (/.f64 (exp.f64 x) (+.f64 x 1))) 2)
	39.1b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (.f64 (-.f64 eps 1) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 1 (.f64 x (+.f64 eps 1))))) 2)
	16.4b	(/.f64 (+.f64 (+.f64 1 (.f64 (-.f64 eps 1) x)) (exp.f64 (.f64 x (-.f64 -1 eps)))) 2)
	16.5b	(/.f64 (+.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (-.f64 1 (.f64 x eps))) 2)
	13.2b	(/.f64 (+.f64 (exp.f64 (.f64 eps x)) (exp.f64 (.f64 x (-.f64 -1 eps)))) 2)
▶	16.5b	(/.f64 (+.f64 (exp.f64 (neg.f64 x)) 1) 2)
	16.5b	(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 -1 eps) (/.f64 1 eps)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))))) 2)
▶	16.5b	(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (/.f64 -1 eps)))) 2)
✓	16.2b	(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))))) 2)
	32.1b	(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) eps))) 2)
	16.4b	(/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 2)
	16.5b	(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2)
	0.3b	(/.f64 (*.f64 (/.f64 (+.f64 x (+.f64 1 x)) (exp.f64 x)) (+.f64 1 (/.f64 1 (-.f64 (+.f64 x x) -1)))) 2)
	61.9b	(/.f64 (.f64 (-.f64 (/.f64 1 eps) 1) (.f64 (+.f64 1 eps) x)) 2)
▶	61.8b	(/.f64 (*.f64 x (neg.f64 eps)) 2)
✓	16.2b	(/.f64 2 2)

Compiler

Compiled 525 to 422 computations (19.6% saved)

localize20.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`rational.json-1`
1376×	`rational.json-2`
1376×	`rational.json-4`
1376×	`rational.json-3`
1368×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	63	17
2	164	17
3	395	17
4	968	17
5	3783	17

Stop Event

1×	node limit

Counts

1 → 73

Calls

Call 1

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

Outputs

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

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1528×	`rational.json-simplify-51`
1204×	`rational.json-simplify-54`
994×	`rational.json-simplify-43`
878×	`rational.json-simplify-50`
836×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	2107
1	355	1987
2	848	1945
3	2922	1945
4	5373	1945

Stop Event

1×	node limit

Counts

85 → 100

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 x (neg.f64 eps)) 2)

Compiler

Compiled 17 to 7 computations (58.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (*.f64 x (neg.f64 eps)) 2)
0.0ms	eps	@	0	(/.f64 (*.f64 x (neg.f64 eps)) 2)
0.0ms	eps	@	inf	(/.f64 (*.f64 x (neg.f64 eps)) 2)
0.0ms	x	@	inf	(/.f64 (*.f64 x (neg.f64 eps)) 2)
0.0ms	eps	@	-inf	(/.f64 (*.f64 x (neg.f64 eps)) 2)

rewrite142.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1832×	`rational.json-1`
1678×	`rational.json-simplify-35`
1248×	`rational.json-2`
1248×	`rational.json-3`
1246×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	67	17
2	174	13
3	396	13
4	904	13
5	2205	13
6	4370	13
7	6522	13
8	7923	13

Stop Event

1×	node limit

Counts

1 → 104

Calls

Call 1

Inputs
(/.f64 (*.f64 x (neg.f64 eps)) 2)

Outputs

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

simplify382.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

3732×	`rational.json-simplify-35`
2080×	`rational.json-simplify-2`
1024×	`exponential.json-simplify-26`
864×	`rational.json-simplify-1`
730×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1664
1	463	1664
2	1017	1664
3	1569	1664
4	2204	1664
5	3765	1664
6	4929	1664
7	5664	1664
8	5705	1664
9	6244	1664
10	6268	1664
11	6514	1664
12	6520	1664
13	6922	1664
14	7316	1664
15	7712	1664

Stop Event

1×	node limit

Counts

128 → 106

Calls

Call 1

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

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

localize37.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (/.f64 1 eps))
✓	2.5b	(-.f64 (*.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (/.f64 -1 eps))

Compiler

Compiled 94 to 71 computations (24.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

eps

(-.f64 (*.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (/.f64 -1 eps))

0.0ms

eps

inf

(-.f64 (*.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (/.f64 -1 eps))

0.0ms

eps

-inf

(-.f64 (*.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (/.f64 -1 eps))

rewrite103.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`rational.json-1`
1776×	`rational.json-2`
1418×	`rational.json-simplify-35`
990×	`rational.json-4`
990×	`rational.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	91	37
2	212	37
3	442	37
4	1000	31
5	3310	31
6	7361	31

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (/.f64 -1 eps))

Outputs

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

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1192×	`rational.json-simplify-61`
982×	`rational.json-simplify-19`
968×	`rational.json-simplify-2`
858×	`rational.json-simplify-1`
806×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	103	793
1	222	793
2	540	781
3	1223	781
4	2945	781
5	7647	781

Stop Event

1×	node limit

Counts

55 → 48

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 (neg.f64 x)) 1)

Compiler

Compiled 22 to 12 computations (45.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`rational.json-simplify-35`
1016×	`exponential.json-3`
1016×	`rational.json-1`
1016×	`rational.json-2`
1016×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	66	15
2	166	15
3	348	15
4	704	15
5	1737	15
6	4232	15

Stop Event

1×	node limit

Counts

1 → 101

Calls

Call 1

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

Outputs

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

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1470×	`rational.json-simplify-35`
1464×	`rational.json-simplify-51`
1224×	`rational.json-simplify-41`
1048×	`rational.json-simplify-46`
846×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	244	1979
1	673	1963
2	2002	1963
3	5109	1963

Stop Event

1×	node limit

Counts

113 → 129

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 34 to 22 computations (35.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`rational.json-1`
1666×	`rational.json-2`
1666×	`rational.json-4`
1666×	`rational.json-3`
1656×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	80	40
2	216	40
3	575	40
4	1628	40
5	4917	40

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1214×	`rational.json-simplify-2`
1056×	`rational.json-simplify-41`
908×	`rational.json-simplify-46`
904×	`rational.json-simplify-43`
892×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	210	2560
1	465	2486
2	920	2474
3	2138	2470
4	4992	2470

Stop Event

1×	node limit

Counts

108 → 130

Calls

Call 1

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

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

eval217.0ms (1.7%)

Compiler: Compiled 10190 to 7518 computations (26.2% saved)

prune360.0ms (2.9%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	615	5	620
Fresh	0	10	10
Picked	0	1	1
Done	2	4	6
Total	617	20	637

Error

0.0b

Counts

637 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (/.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 1/2) 2)
▶	46.8b	(/.f64 (/.f64 (/.f64 x (exp.f64 x)) 1/2) 2)
✓	0.3b	(/.f64 (/.f64 2 (/.f64 (exp.f64 x) (+.f64 x 1))) 2)
	39.1b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (.f64 (-.f64 eps 1) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 1 (.f64 x (+.f64 eps 1))))) 2)
	16.4b	(/.f64 (+.f64 (+.f64 1 (.f64 (-.f64 eps 1) x)) (exp.f64 (.f64 x (-.f64 -1 eps)))) 2)
	16.5b	(/.f64 (+.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (-.f64 1 (.f64 x eps))) 2)
	13.2b	(/.f64 (+.f64 (exp.f64 (.f64 eps x)) (exp.f64 (.f64 x (-.f64 -1 eps)))) 2)
✓	16.5b	(/.f64 (+.f64 (exp.f64 (neg.f64 x)) 1) 2)
▶	16.5b	(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 -1 eps) (/.f64 1 eps)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))))) 2)
✓	16.2b	(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))))) 2)
	32.1b	(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) eps))) 2)
	19.4b	(/.f64 (+.f64 2 (.f64 x (.f64 (/.f64 1 eps) (-.f64 (+.f64 -1 (*.f64 eps eps)) -1)))) 2)
	16.5b	(/.f64 (+.f64 2 (*.f64 x eps)) 2)
	16.4b	(/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 2)
	16.5b	(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2)
▶	0.3b	(/.f64 (*.f64 (/.f64 (+.f64 x (+.f64 1 x)) (exp.f64 x)) (+.f64 1 (/.f64 1 (-.f64 (+.f64 x x) -1)))) 2)
▶	61.9b	(/.f64 (.f64 (-.f64 (/.f64 1 eps) 1) (.f64 (+.f64 1 eps) x)) 2)
✓	16.2b	(/.f64 2 2)
	54.7b	(-.f64 (-.f64 1 (*.f64 x (/.f64 eps 2))) 1)
▶	61.8b	(.f64 (.f64 x eps) -1/2)

Compiler

Compiled 546 to 436 computations (20.1% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 86 to 52 computations (39.5% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite96.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`rational.json-1`
1572×	`rational.json-2`
1572×	`rational.json-4`
1572×	`rational.json-3`
1560×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	120
1	122	120
2	268	120
3	635	120
4	1719	104
5	5034	104

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

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

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

simplify190.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1160×	`rational.json-simplify-2`
1010×	`rational.json-simplify-35`
942×	`rational.json-simplify-1`
892×	`rational.json-simplify-50`
694×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	370	8598
1	1109	8548
2	3587	8330
3	5633	6258
4	7620	6258

Stop Event

1×	node limit

Counts

210 → 258

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 1 (.f64 -2 x)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -2 x) (*.f64 -8 (pow.f64 x 3)))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -3/2 (pow.f64 x 2)) x))
(+.f64 (.f64 5/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
(+.f64 (*.f64 2 (/.f64 x (exp.f64 x))) (/.f64 1 (exp.f64 x)))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 2 (.f64 -2 x)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 -2 x) (*.f64 -8 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 x 3))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 x 3))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (/.f64 (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x)) (-.f64 -1 (+.f64 x x))))
(+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (exp.f64 (neg.f64 x))) 0)
(+.f64 0 (+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (exp.f64 (neg.f64 x))))
(+.f64 (/.f64 (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x)) (-.f64 -1 (+.f64 x x))) (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)))
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (exp.f64 (neg.f64 x))) 2) (/.f64 (+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (exp.f64 (neg.f64 x))) 2))
(+.f64 (.f64 (+.f64 x 1) (/.f64 (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x)) (-.f64 -1 (+.f64 x x)))) (.f64 (+.f64 x 1) (/.f64 (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x)) (-.f64 -1 (+.f64 x x)))))
(-.f64 (+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (exp.f64 (neg.f64 x))) 0)
(-.f64 (/.f64 (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x)) (-.f64 -1 (+.f64 x x))) (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x)))
(/.f64 1 (/.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))))
(/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (/.f64 (/.f64 (+.f64 x (+.f64 x 1)) 2) (+.f64 x 1)))
(/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (/.f64 1 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))))
(/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (/.f64 (/.f64 (+.f64 2 (*.f64 x 4)) (+.f64 x 1)) 4))
(/.f64 (+.f64 x (+.f64 x 1)) (/.f64 (exp.f64 x) (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))))
(/.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))
(/.f64 (+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (exp.f64 (neg.f64 x))) 1)
(/.f64 (+.f64 x (+.f64 x 2)) (/.f64 (+.f64 x (+.f64 x 1)) (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))))
(/.f64 (+.f64 x (+.f64 x 2)) (/.f64 (/.f64 (+.f64 2 (*.f64 x 4)) (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))) 2))
(/.f64 (+.f64 x (+.f64 x 2)) (/.f64 (/.f64 (+.f64 2 (*.f64 x 4)) (/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 2)) 4))
(/.f64 2 (/.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))))
(/.f64 2 (*.f64 2 (/.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))))))
(/.f64 (+.f64 2 (*.f64 x 4)) (/.f64 (exp.f64 x) (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 2 (.f64 x 4)) (.f64 2 (/.f64 (exp.f64 x) (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))))))
(/.f64 (-.f64 -1 (+.f64 x x)) (/.f64 (exp.f64 x) (-.f64 -1 (/.f64 1 (+.f64 x (+.f64 x 1))))))
(/.f64 (/.f64 (.f64 (+.f64 x 1) 4) (+.f64 x (+.f64 x 1))) (.f64 (exp.f64 x) (/.f64 2 (+.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 (/.f64 2 (exp.f64 x)) (/.f64 (+.f64 2 (*.f64 x 4)) (exp.f64 x))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 x 4)) (exp.f64 x)) (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))))
(/.f64 (/.f64 (+.f64 2 (.f64 x 4)) (exp.f64 x)) (.f64 2 (/.f64 1 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))))))
(/.f64 (.f64 (+.f64 x (+.f64 x 1)) 4) (.f64 2 (/.f64 (exp.f64 x) (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))))
(/.f64 4 (*.f64 2 (/.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))))
(/.f64 (*.f64 (+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (exp.f64 (neg.f64 x))) 4) 4)
(/.f64 (.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 4) (.f64 2 (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))))
(/.f64 (.f64 (+.f64 x 1) 4) (/.f64 (+.f64 2 (.f64 x 4)) (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))))
(/.f64 (.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) 4) (.f64 2 (*.f64 (exp.f64 x) (/.f64 2 (+.f64 x (+.f64 x 1))))))
(/.f64 (.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) 4) (.f64 4 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))))
(/.f64 (/.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) (exp.f64 x)) (/.f64 1 (+.f64 x (+.f64 x 1))))
(/.f64 (.f64 (+.f64 x 1) (/.f64 (+.f64 2 (.f64 x 4)) (exp.f64 x))) (+.f64 x (+.f64 x 1)))
(/.f64 (neg.f64 (+.f64 2 (.f64 x 4))) (.f64 2 (/.f64 (exp.f64 x) (-.f64 -1 (/.f64 1 (+.f64 x (+.f64 x 1)))))))
(/.f64 (.f64 2 (.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) 4)) (.f64 2 (.f64 4 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (exp.f64 (neg.f64 x))) 4)) 8)
(/.f64 (.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (.f64 (+.f64 x 1) 4)) (+.f64 2 (*.f64 x 4)))
(/.f64 (.f64 2 (/.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) (exp.f64 x))) (.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) 2))
(/.f64 (+.f64 1 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))) (exp.f64 x))
(/.f64 (.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) (/.f64 1/2 (exp.f64 x))) (/.f64 1 (+.f64 2 (.f64 x 4))))
(/.f64 (/.f64 (/.f64 (.f64 (+.f64 x 1) 4) (+.f64 x (+.f64 x 1))) (/.f64 (exp.f64 x) (+.f64 2 (.f64 x 4)))) 4)
(/.f64 (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))) (/.f64 (exp.f64 x) (+.f64 2 (*.f64 x 4))))
(/.f64 (neg.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))) (/.f64 (exp.f64 x) (-.f64 -1 (+.f64 x x))))
(/.f64 (+.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (/.f64 (+.f64 x (+.f64 x 1)) (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)))) (*.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (/.f64 (+.f64 x (+.f64 x 1)) (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)))))
(/.f64 (+.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (/.f64 (+.f64 x (+.f64 x 1)) (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)))) (*.f64 (/.f64 (+.f64 x (+.f64 x 1)) (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (exp.f64 (neg.f64 x))) 4))) 16)
(/.f64 (.f64 2 (/.f64 (/.f64 (.f64 (+.f64 x 1) 4) (+.f64 x (+.f64 x 1))) (/.f64 (exp.f64 x) (+.f64 2 (*.f64 x 4))))) 8)
(/.f64 (.f64 2 (neg.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))))) (.f64 2 (/.f64 (exp.f64 x) (-.f64 -1 (+.f64 x x)))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 x 1) 4) (+.f64 x (+.f64 x 1))) (exp.f64 x)) (/.f64 2 (+.f64 x (+.f64 x 1))))
(/.f64 (/.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) (neg.f64 (exp.f64 x))) (/.f64 1 (-.f64 -1 (+.f64 x x))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) (exp.f64 x)) 2) (/.f64 1 (+.f64 2 (*.f64 x 4))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) (exp.f64 x)) (*.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) 2)) 1/2)
(/.f64 (/.f64 (.f64 (+.f64 x 1) (/.f64 (+.f64 2 (.f64 x 4)) (exp.f64 x))) 2) (/.f64 (+.f64 x (+.f64 x 1)) 2))
(/.f64 (/.f64 (.f64 (+.f64 x 1) (/.f64 (+.f64 2 (.f64 x 4)) (exp.f64 x))) (+.f64 2 (*.f64 x 4))) 1/2)
(/.f64 (/.f64 (.f64 (+.f64 x 1) (/.f64 (+.f64 2 (.f64 x 4)) (exp.f64 x))) (-.f64 -1 (+.f64 x x))) -1)
(/.f64 (/.f64 (.f64 (+.f64 x 1) (/.f64 (+.f64 2 (.f64 x 4)) (exp.f64 x))) (*.f64 (+.f64 x (+.f64 x 1)) 4)) 1/4)
(/.f64 (/.f64 (.f64 (+.f64 x 1) (/.f64 (+.f64 2 (.f64 x 4)) (exp.f64 x))) 1/2) (+.f64 2 (*.f64 x 4)))
(/.f64 (neg.f64 (/.f64 (.f64 (+.f64 x 1) 4) (+.f64 x (+.f64 x 1)))) (neg.f64 (.f64 (exp.f64 x) (/.f64 2 (+.f64 x (+.f64 x 1))))))
(/.f64 (neg.f64 (/.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) (exp.f64 x))) (/.f64 1 (-.f64 -1 (+.f64 x x))))
(/.f64 (neg.f64 (.f64 (+.f64 x 1) (/.f64 (+.f64 2 (.f64 x 4)) (exp.f64 x)))) (-.f64 -1 (+.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1)))))
(pow.f64 (+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (exp.f64 (neg.f64 x))) 1)
(neg.f64 (/.f64 (.f64 (+.f64 x 1) (/.f64 (+.f64 2 (.f64 x 4)) (exp.f64 x))) (-.f64 -1 (+.f64 x x))))
(+.f64 -1 (-.f64 1 (/.f64 1 (-.f64 -1 (+.f64 x x)))))
(+.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) 0)
(+.f64 0 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 2 (.f64 x 4))) (/.f64 1 (+.f64 2 (.f64 x 4))))
(-.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) 0)
(-.f64 0 (/.f64 1 (-.f64 -1 (+.f64 x x))))
(*.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) 1)
(.f64 2 (/.f64 1 (+.f64 2 (.f64 x 4))))
(.f64 (.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) 2) 1/2)
(.f64 1/2 (.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) 2))
(.f64 (/.f64 1 (+.f64 2 (.f64 x 4))) 2)
(*.f64 (/.f64 1 (-.f64 -1 (+.f64 x x))) -1)
(pow.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) 1)
(neg.f64 (/.f64 1 (-.f64 -1 (+.f64 x x))))
(+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 0)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x))))
(+.f64 0 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)))
(+.f64 (/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 2) (/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 2))
(-.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 0)
(-.f64 0 (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x)))
(*.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)))
(*.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 1)
(*.f64 -1 (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x)))
(*.f64 (+.f64 x (+.f64 x 1)) (exp.f64 (neg.f64 x)))
(*.f64 2 (/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 2))
(.f64 2 (.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 x (+.f64 x 1))))
(.f64 (+.f64 2 (.f64 x 4)) (/.f64 1/2 (exp.f64 x)))
(.f64 (+.f64 2 (.f64 x 4)) (*.f64 (exp.f64 (neg.f64 x)) 1/2))
(*.f64 (-.f64 -1 (+.f64 x x)) (/.f64 -1 (exp.f64 x)))
(.f64 (/.f64 (+.f64 2 (.f64 x 4)) (exp.f64 x)) 1/2)
(.f64 (.f64 (+.f64 x (+.f64 x 1)) 4) (/.f64 (exp.f64 (neg.f64 x)) 4))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 x 1)))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 x 4)) (exp.f64 x)))
(.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 2 (.f64 x 4)))
(.f64 (neg.f64 (+.f64 2 (.f64 x 4))) (/.f64 1/2 (neg.f64 (exp.f64 x))))
(.f64 (.f64 (exp.f64 (neg.f64 x)) 1/2) (+.f64 2 (*.f64 x 4)))
(*.f64 (/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 2) 2)
(*.f64 (/.f64 -1 (exp.f64 x)) (-.f64 -1 (+.f64 x x)))
(.f64 (/.f64 (exp.f64 (neg.f64 x)) 4) (.f64 (+.f64 x (+.f64 x 1)) 4))
(.f64 (/.f64 1/2 (neg.f64 (exp.f64 x))) (neg.f64 (+.f64 2 (.f64 x 4))))
(*.f64 (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x)) -1)
(pow.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 1)
(neg.f64 (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x)))
(-.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) -1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) 0)
(-.f64 (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))) (/.f64 (+.f64 x 1) (-.f64 -1 (+.f64 x x))))
(*.f64 1 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))))
(.f64 (+.f64 x 1) (.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) 2))
(*.f64 (+.f64 x 1) (/.f64 2 (+.f64 x (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) (+.f64 x (+.f64 x 2)))
(*.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) 1)
(*.f64 (+.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x (+.f64 x 1))))
(*.f64 2 (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))
(.f64 (/.f64 (.f64 (+.f64 x 1) 4) (+.f64 x (+.f64 x 1))) 1/2)
(.f64 (.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) 2) (+.f64 x 1))
(.f64 4 (.f64 (/.f64 1 (+.f64 2 (*.f64 x 4))) (+.f64 x 1)))
(.f64 4 (.f64 (/.f64 (+.f64 x 1) 2) (/.f64 1 (+.f64 x (+.f64 x 1)))))
(.f64 (.f64 (+.f64 x 1) 4) (/.f64 1 (+.f64 2 (*.f64 x 4))))
(.f64 (.f64 (+.f64 x 1) 4) (*.f64 1/2 (/.f64 1 (+.f64 x (+.f64 x 1)))))
(.f64 (.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) 4) (*.f64 1/2 (+.f64 x 1)))
(.f64 1/2 (/.f64 (.f64 (+.f64 x 1) 4) (+.f64 x (+.f64 x 1))))
(*.f64 (/.f64 2 (+.f64 x (+.f64 x 1))) (+.f64 x 1))
(*.f64 (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))) 2)
(.f64 (/.f64 1 (+.f64 2 (.f64 x 4))) (*.f64 (+.f64 x 1) 4))
(/.f64 1 (/.f64 (/.f64 (+.f64 x (+.f64 x 1)) 2) (+.f64 x 1)))
(/.f64 (+.f64 x 1) (/.f64 (+.f64 x (+.f64 x 1)) 2))
(/.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) 1)
(/.f64 (+.f64 x (+.f64 x 2)) (+.f64 x (+.f64 x 1)))
(/.f64 2 (/.f64 (+.f64 x (+.f64 x 1)) (+.f64 x 1)))
(/.f64 2 (*.f64 2 (/.f64 (/.f64 (+.f64 x (+.f64 x 1)) 2) (+.f64 x 1))))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) 4) (+.f64 x (+.f64 x 1))) 2)
(/.f64 4 (/.f64 (+.f64 2 (*.f64 x 4)) (+.f64 x 1)))
(/.f64 4 (*.f64 2 (/.f64 (+.f64 x (+.f64 x 1)) (+.f64 x 1))))
(/.f64 (.f64 (+.f64 x 1) 4) (+.f64 2 (.f64 x 4)))
(/.f64 8 (.f64 2 (/.f64 (+.f64 2 (.f64 x 4)) (+.f64 x 1))))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) 4) 4)
(/.f64 (.f64 (+.f64 x (+.f64 x 2)) 4) (.f64 (+.f64 x (+.f64 x 1)) 4))
(/.f64 (.f64 2 (.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) 4)) 8)
(/.f64 (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))) 1/2)
(/.f64 (neg.f64 (+.f64 x (+.f64 x 2))) (-.f64 -1 (+.f64 x x)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) 4))) 16)
(/.f64 (.f64 2 (neg.f64 (+.f64 x (+.f64 x 2)))) (neg.f64 (+.f64 2 (.f64 x 4))))
(/.f64 (/.f64 (+.f64 x 1) (+.f64 2 (*.f64 x 4))) 1/4)
(/.f64 (/.f64 (+.f64 x (+.f64 x 2)) 1/2) (+.f64 2 (*.f64 x 4)))
(/.f64 (+.f64 -1 (/.f64 1 (-.f64 -1 (+.f64 x x)))) -1)
(/.f64 (/.f64 (neg.f64 (+.f64 x (+.f64 x 2))) (+.f64 x (+.f64 x 1))) -1)
(/.f64 (/.f64 (neg.f64 (+.f64 x (+.f64 x 2))) 1/2) (neg.f64 (+.f64 2 (*.f64 x 4))))
(/.f64 (neg.f64 (.f64 (+.f64 x 1) 4)) (neg.f64 (+.f64 2 (.f64 x 4))))
(/.f64 (neg.f64 (neg.f64 (+.f64 x (+.f64 x 2)))) (+.f64 x (+.f64 x 1)))
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) 1)
(neg.f64 (+.f64 -1 (/.f64 1 (-.f64 -1 (+.f64 x x)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 x (+.f64 x 2))) (+.f64 x (+.f64 x 1))))

Outputs
2
(+.f64 2 (*.f64 -1 (pow.f64 x 2)))
(+.f64 2 (neg.f64 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 2/3 (pow.f64 x 3))))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2/3 (pow.f64 x 3)) 2))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 2 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 2 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 -1/4 (pow.f64 x 4)))))
(*.f64 2 (/.f64 x (exp.f64 x)))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))))
(*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (/.f64 1 (exp.f64 x))))
(+.f64 (.f64 2 (/.f64 x (exp.f64 x))) (.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 x (exp.f64 x))))
(*.f64 2 (+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))))
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1
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(/.f64 1/2 x)
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(/.f64 1/2 x)
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1
(+.f64 1 x)
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(+.f64 (.f64 5/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 x 2)) x)))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) -3/2) (+.f64 x 1)) (.f64 (pow.f64 x 3) 5/6))
(+.f64 (.f64 (pow.f64 x 2) -3/2) (+.f64 (+.f64 x 1) (.f64 (pow.f64 x 3) 5/6)))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -3/2) (+.f64 x (.f64 (pow.f64 x 3) 5/6))))
(*.f64 2 (/.f64 x (exp.f64 x)))
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(*.f64 2 (/.f64 x (exp.f64 x)))
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2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
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(+.f64 2 (+.f64 (.f64 x -2) (+.f64 (.f64 (pow.f64 x 3) -8) (*.f64 (pow.f64 x 2) 4))))
(+.f64 2 (+.f64 (.f64 x -2) (+.f64 (.f64 (pow.f64 x 2) 4) (*.f64 (pow.f64 x 3) -8))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (.f64 1/2 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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1
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(-.f64 (+.f64 1 (.f64 1/2 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
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(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
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(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
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(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
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(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
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(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
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(-.f64 (exp.f64 (neg.f64 x)) (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x)))
(/.f64 1 (/.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))))
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(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (/.f64 (/.f64 (+.f64 x (+.f64 x 1)) 2) (+.f64 x 1)))
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(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (/.f64 1 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))))
(+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (/.f64 (-.f64 -1 (+.f64 x x)) (*.f64 (exp.f64 x) (-.f64 -1 (+.f64 x x)))))
(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (/.f64 (/.f64 (+.f64 2 (*.f64 x 4)) (+.f64 x 1)) 4))
(/.f64 (+.f64 x (+.f64 x 1)) (.f64 (exp.f64 x) (/.f64 (+.f64 2 (.f64 x 4)) (*.f64 4 (+.f64 x 1)))))
(/.f64 (/.f64 (+.f64 x 1) (/.f64 (/.f64 (+.f64 2 (*.f64 x 4)) 4) (+.f64 x (+.f64 x 1)))) (exp.f64 x))
(/.f64 (+.f64 x (+.f64 x 1)) (/.f64 (exp.f64 x) (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))))
(+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (/.f64 (-.f64 -1 (+.f64 x x)) (*.f64 (exp.f64 x) (-.f64 -1 (+.f64 x x)))))
(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))
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(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 (+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (exp.f64 (neg.f64 x))) 1)
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(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 (+.f64 x (+.f64 x 2)) (/.f64 (+.f64 x (+.f64 x 1)) (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))))
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(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 (+.f64 x (+.f64 x 2)) (/.f64 (/.f64 (+.f64 2 (*.f64 x 4)) (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))) 2))
(/.f64 (+.f64 x (+.f64 x 1)) (.f64 (exp.f64 x) (/.f64 (+.f64 2 (.f64 x 4)) (*.f64 4 (+.f64 x 1)))))
(/.f64 (/.f64 (+.f64 x 1) (/.f64 (/.f64 (+.f64 2 (*.f64 x 4)) 4) (+.f64 x (+.f64 x 1)))) (exp.f64 x))
(/.f64 (+.f64 x (+.f64 x 2)) (/.f64 (/.f64 (+.f64 2 (*.f64 x 4)) (/.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 2)) 4))
(/.f64 (+.f64 x (+.f64 x 1)) (.f64 (exp.f64 x) (/.f64 (+.f64 2 (.f64 x 4)) (*.f64 4 (+.f64 x 1)))))
(/.f64 (/.f64 (+.f64 x 1) (/.f64 (/.f64 (+.f64 2 (*.f64 x 4)) 4) (+.f64 x (+.f64 x 1)))) (exp.f64 x))
(/.f64 2 (/.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))))
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(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 2 (*.f64 2 (/.f64 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))))))
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(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 (+.f64 2 (*.f64 x 4)) (/.f64 (exp.f64 x) (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 x 1) (.f64 (+.f64 x (+.f64 x 1)) (/.f64 (exp.f64 x) (+.f64 2 (.f64 x 4)))))
(/.f64 (+.f64 2 (*.f64 x 4)) (/.f64 (+.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (exp.f64 x))))
(/.f64 (+.f64 2 (.f64 x 4)) (.f64 2 (/.f64 (exp.f64 x) (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))))))
(/.f64 (+.f64 x 1) (.f64 (+.f64 x (+.f64 x 1)) (/.f64 (exp.f64 x) (+.f64 2 (.f64 x 4)))))
(/.f64 (+.f64 2 (*.f64 x 4)) (/.f64 (+.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (exp.f64 x))))
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(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 (/.f64 (.f64 (+.f64 x 1) 4) (+.f64 x (+.f64 x 1))) (.f64 (exp.f64 x) (/.f64 2 (+.f64 x (+.f64 x 1)))))
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(*.f64 2 (/.f64 (+.f64 x 1) (exp.f64 x)))
(/.f64 (+.f64 (/.f64 2 (exp.f64 x)) (/.f64 (+.f64 2 (*.f64 x 4)) (exp.f64 x))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 x 4)) (exp.f64 x)) (/.f64 1 (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))))
(/.f64 (+.f64 x 1) (.f64 (+.f64 x (+.f64 x 1)) (/.f64 (exp.f64 x) (+.f64 2 (.f64 x 4)))))
(/.f64 (+.f64 2 (*.f64 x 4)) (/.f64 (+.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (exp.f64 x))))
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(/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))
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(-.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 0)
(/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))
(-.f64 0 (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x)))
(/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))
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(/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))
(*.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 1)
(/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))
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(/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))
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(/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))
(.f64 2 (.f64 (/.f64 1/2 (exp.f64 x)) (+.f64 x (+.f64 x 1))))
(/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))
(.f64 (+.f64 2 (.f64 x 4)) (/.f64 1/2 (exp.f64 x)))
(.f64 (+.f64 2 (.f64 x 4)) (*.f64 (exp.f64 (neg.f64 x)) 1/2))
(.f64 (exp.f64 (neg.f64 x)) (.f64 1/2 (+.f64 2 (*.f64 x 4))))
(.f64 1/2 (.f64 (+.f64 2 (*.f64 x 4)) (exp.f64 (neg.f64 x))))
(.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (*.f64 x 4))))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 x 4)) (exp.f64 x)))
(*.f64 (-.f64 -1 (+.f64 x x)) (/.f64 -1 (exp.f64 x)))
(.f64 (/.f64 (+.f64 2 (.f64 x 4)) (exp.f64 x)) 1/2)
(.f64 (exp.f64 (neg.f64 x)) (.f64 1/2 (+.f64 2 (*.f64 x 4))))
(.f64 1/2 (.f64 (+.f64 2 (*.f64 x 4)) (exp.f64 (neg.f64 x))))
(.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (*.f64 x 4))))
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(.f64 1/2 (/.f64 (+.f64 2 (.f64 x 4)) (exp.f64 x)))
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(.f64 1/2 (.f64 (+.f64 2 (*.f64 x 4)) (exp.f64 (neg.f64 x))))
(.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (*.f64 x 4))))
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(.f64 (+.f64 2 (.f64 x 4)) (/.f64 1/2 (exp.f64 x)))
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(.f64 (neg.f64 (+.f64 2 (.f64 x 4))) (/.f64 -1/2 (exp.f64 x)))
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(.f64 1/2 (.f64 (+.f64 2 (*.f64 x 4)) (exp.f64 (neg.f64 x))))
(.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (*.f64 x 4))))
(.f64 1/2 (/.f64 (+.f64 2 (.f64 x 4)) (exp.f64 x)))
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(/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))
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(*.f64 (-.f64 -1 (+.f64 x x)) (/.f64 -1 (exp.f64 x)))
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(.f64 (+.f64 2 (.f64 x 4)) (neg.f64 (/.f64 -1/2 (exp.f64 x))))
(*.f64 (/.f64 (-.f64 -1 (+.f64 x x)) (exp.f64 x)) -1)
(/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))
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(-.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) -1)
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(-.f64 (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))) (/.f64 (+.f64 x 1) (-.f64 -1 (+.f64 x x))))
(*.f64 1 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(.f64 (+.f64 x 1) (.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) 2))
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(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(*.f64 (+.f64 x 1) (/.f64 2 (+.f64 x (+.f64 x 1))))
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(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(*.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) (+.f64 x (+.f64 x 2)))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(*.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) 1)
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(*.f64 (+.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(*.f64 2 (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(.f64 (/.f64 (.f64 (+.f64 x 1) 4) (+.f64 x (+.f64 x 1))) 1/2)
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(.f64 (.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) 2) (+.f64 x 1))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(.f64 4 (.f64 (/.f64 1 (+.f64 2 (*.f64 x 4))) (+.f64 x 1)))
(.f64 (.f64 4 (+.f64 x 1)) (/.f64 1 (+.f64 2 (*.f64 x 4))))
(.f64 4 (.f64 (+.f64 x 1) (/.f64 1 (+.f64 2 (*.f64 x 4)))))
(.f64 (+.f64 x 1) (/.f64 4 (+.f64 2 (.f64 x 4))))
(.f64 4 (.f64 (/.f64 (+.f64 x 1) 2) (/.f64 1 (+.f64 x (+.f64 x 1)))))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(.f64 (.f64 (+.f64 x 1) 4) (/.f64 1 (+.f64 2 (*.f64 x 4))))
(.f64 (.f64 4 (+.f64 x 1)) (/.f64 1 (+.f64 2 (*.f64 x 4))))
(.f64 4 (.f64 (+.f64 x 1) (/.f64 1 (+.f64 2 (*.f64 x 4)))))
(.f64 (+.f64 x 1) (/.f64 4 (+.f64 2 (.f64 x 4))))
(.f64 (.f64 (+.f64 x 1) 4) (*.f64 1/2 (/.f64 1 (+.f64 x (+.f64 x 1)))))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(.f64 (.f64 (/.f64 1 (+.f64 x (+.f64 x 1))) 4) (*.f64 1/2 (+.f64 x 1)))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(.f64 1/2 (/.f64 (.f64 (+.f64 x 1) 4) (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(*.f64 (/.f64 2 (+.f64 x (+.f64 x 1))) (+.f64 x 1))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(*.f64 (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))) 2)
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(.f64 (/.f64 1 (+.f64 2 (.f64 x 4))) (*.f64 (+.f64 x 1) 4))
(.f64 (.f64 4 (+.f64 x 1)) (/.f64 1 (+.f64 2 (*.f64 x 4))))
(.f64 4 (.f64 (+.f64 x 1) (/.f64 1 (+.f64 2 (*.f64 x 4)))))
(.f64 (+.f64 x 1) (/.f64 4 (+.f64 2 (.f64 x 4))))
(/.f64 1 (/.f64 (/.f64 (+.f64 x (+.f64 x 1)) 2) (+.f64 x 1)))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 (+.f64 x 1) (/.f64 (+.f64 x (+.f64 x 1)) 2))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) 1)
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 (+.f64 x (+.f64 x 2)) (+.f64 x (+.f64 x 1)))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 2 (/.f64 (+.f64 x (+.f64 x 1)) (+.f64 x 1)))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 2 (*.f64 2 (/.f64 (/.f64 (+.f64 x (+.f64 x 1)) 2) (+.f64 x 1))))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) 4) (+.f64 x (+.f64 x 1))) 2)
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 4 (/.f64 (+.f64 2 (*.f64 x 4)) (+.f64 x 1)))
(.f64 (.f64 4 (+.f64 x 1)) (/.f64 1 (+.f64 2 (*.f64 x 4))))
(.f64 4 (.f64 (+.f64 x 1) (/.f64 1 (+.f64 2 (*.f64 x 4)))))
(.f64 (+.f64 x 1) (/.f64 4 (+.f64 2 (.f64 x 4))))
(/.f64 4 (*.f64 2 (/.f64 (+.f64 x (+.f64 x 1)) (+.f64 x 1))))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 (.f64 (+.f64 x 1) 4) (+.f64 2 (.f64 x 4)))
(.f64 (.f64 4 (+.f64 x 1)) (/.f64 1 (+.f64 2 (*.f64 x 4))))
(.f64 4 (.f64 (+.f64 x 1) (/.f64 1 (+.f64 2 (*.f64 x 4)))))
(.f64 (+.f64 x 1) (/.f64 4 (+.f64 2 (.f64 x 4))))
(/.f64 8 (.f64 2 (/.f64 (+.f64 2 (.f64 x 4)) (+.f64 x 1))))
(.f64 (.f64 4 (+.f64 x 1)) (/.f64 1 (+.f64 2 (*.f64 x 4))))
(.f64 4 (.f64 (+.f64 x 1) (/.f64 1 (+.f64 2 (*.f64 x 4)))))
(.f64 (+.f64 x 1) (/.f64 4 (+.f64 2 (.f64 x 4))))
(/.f64 (*.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) 4) 4)
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 (.f64 (+.f64 x (+.f64 x 2)) 4) (.f64 (+.f64 x (+.f64 x 1)) 4))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 (.f64 2 (.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) 4)) 8)
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 (/.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))) 1/2)
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 (neg.f64 (+.f64 x (+.f64 x 2))) (-.f64 -1 (+.f64 x x)))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) 4))) 16)
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 (.f64 2 (neg.f64 (+.f64 x (+.f64 x 2)))) (neg.f64 (+.f64 2 (.f64 x 4))))
(.f64 (.f64 4 (+.f64 x 1)) (/.f64 1 (+.f64 2 (*.f64 x 4))))
(.f64 4 (.f64 (+.f64 x 1) (/.f64 1 (+.f64 2 (*.f64 x 4)))))
(.f64 (+.f64 x 1) (/.f64 4 (+.f64 2 (.f64 x 4))))
(/.f64 (/.f64 (+.f64 x 1) (+.f64 2 (*.f64 x 4))) 1/4)
(.f64 (.f64 4 (+.f64 x 1)) (/.f64 1 (+.f64 2 (*.f64 x 4))))
(.f64 4 (.f64 (+.f64 x 1) (/.f64 1 (+.f64 2 (*.f64 x 4)))))
(.f64 (+.f64 x 1) (/.f64 4 (+.f64 2 (.f64 x 4))))
(/.f64 (/.f64 (+.f64 x (+.f64 x 2)) 1/2) (+.f64 2 (*.f64 x 4)))
(.f64 (.f64 4 (+.f64 x 1)) (/.f64 1 (+.f64 2 (*.f64 x 4))))
(.f64 4 (.f64 (+.f64 x 1) (/.f64 1 (+.f64 2 (*.f64 x 4)))))
(.f64 (+.f64 x 1) (/.f64 4 (+.f64 2 (.f64 x 4))))
(/.f64 (+.f64 -1 (/.f64 1 (-.f64 -1 (+.f64 x x)))) -1)
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 (/.f64 (neg.f64 (+.f64 x (+.f64 x 2))) (+.f64 x (+.f64 x 1))) -1)
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(/.f64 (/.f64 (neg.f64 (+.f64 x (+.f64 x 2))) 1/2) (neg.f64 (+.f64 2 (*.f64 x 4))))
(.f64 (.f64 4 (+.f64 x 1)) (/.f64 1 (+.f64 2 (*.f64 x 4))))
(.f64 4 (.f64 (+.f64 x 1) (/.f64 1 (+.f64 2 (*.f64 x 4)))))
(.f64 (+.f64 x 1) (/.f64 4 (+.f64 2 (.f64 x 4))))
(/.f64 (neg.f64 (.f64 (+.f64 x 1) 4)) (neg.f64 (+.f64 2 (.f64 x 4))))
(.f64 (.f64 4 (+.f64 x 1)) (/.f64 1 (+.f64 2 (*.f64 x 4))))
(.f64 4 (.f64 (+.f64 x 1) (/.f64 1 (+.f64 2 (*.f64 x 4)))))
(.f64 (+.f64 x 1) (/.f64 4 (+.f64 2 (.f64 x 4))))
(/.f64 (neg.f64 (neg.f64 (+.f64 x (+.f64 x 2)))) (+.f64 x (+.f64 x 1)))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1)))) 1)
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(neg.f64 (+.f64 -1 (/.f64 1 (-.f64 -1 (+.f64 x x)))))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (+.f64 x (+.f64 x 2))) (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 1 (+.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 -1 (-.f64 -1 (+.f64 x x))))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x eps) -1/2)

Compiler

Compiled 13 to 6 computations (53.8% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite224.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`rational.json-simplify-35`
1338×	`exponential.json-3`
1338×	`rational.json-1`
1338×	`rational.json-2`
1338×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	46	13
2	103	13
3	223	13
4	411	13
5	942	13
6	2140	13
7	3845	13
8	4907	13
9	6165	13
10	7208	13
11	7424	13
12	7731	13

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(.f64 (.f64 x eps) -1/2)

Outputs

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

simplify159.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2130×	`rational.json-simplify-35`
1224×	`rational.json-simplify-52`
888×	`rational.json-simplify-48`
866×	`rational.json-simplify-2`
862×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	832
1	286	832
2	579	832
3	1471	832
4	3202	832
5	4251	832
6	5236	832
7	7280	832
8	7729	832

Stop Event

1×	node limit

Counts

64 → 42

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 eps) 1)
✓	0.0b	(*.f64 (+.f64 1 eps) x)
✓	0.2b	(.f64 (-.f64 (/.f64 1 eps) 1) (.f64 (+.f64 1 eps) x))

Compiler

Compiled 46 to 33 computations (28.3% saved)

series3.0ms (0%)

Counts

3 → 39

Calls

15 calls:

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

rewrite93.0ms (0.7%)

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: 5 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	83	57
2	198	57
3	399	57
4	833	57
5	2301	51
6	6229	51

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs
(.f64 (-.f64 (/.f64 1 eps) 1) (.f64 (+.f64 1 eps) x))
(*.f64 (+.f64 1 eps) x)
(-.f64 (/.f64 1 eps) 1)

Outputs

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

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

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

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational.json-simplify-51`
1010×	`rational.json-simplify-49`
794×	`rational.json-simplify-41`
792×	`rational.json-simplify-35`
780×	`rational.json-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	163	2167
1	446	2025
2	1157	1931
3	4394	1927
4	7765	1669

Stop Event

1×	node limit

Counts

109 → 109

Calls

Call 1

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

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

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (-.f64 (.f64 (+.f64 -1 eps) (/.f64 1 eps)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))))
	0.0b	(*.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))
✓	0.1b	(*.f64 (+.f64 -1 eps) (/.f64 1 eps))
✓	3.8b	(-.f64 (.f64 (+.f64 -1 eps) (/.f64 1 eps)) (.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1))))

Compiler

Compiled 126 to 96 computations (23.8% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`rational.json-simplify-35`
1148×	`rational.json-1`
1148×	`rational.json-2`
1148×	`rational.json-4`
1148×	`rational.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	131
1	120	113
2	247	105
3	534	105
4	1258	105
5	3885	65

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

Inputs

(-.f64 (*.f64 (+.f64 -1 eps) (/.f64 1 eps)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1))))

(*.f64 (+.f64 -1 eps) (/.f64 1 eps))

(*.f64 x (-.f64 (*.f64 (+.f64 -1 eps) (/.f64 1 eps)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))))

Outputs

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

simplify109.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1626×	`rational.json-simplify-53`
1084×	`rational.json-simplify-2`
876×	`rational.json-simplify-1`
812×	`rational.json-simplify-35`
650×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	347	5166
1	1009	4228
2	2991	4016
3	5029	3928

Stop Event

1×	node limit

Counts

204 → 210

Calls

Call 1

Inputs
1
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(pow.f64 (+.f64 1 (/.f64 -1 eps)) 1)
(neg.f64 (-.f64 -1 (/.f64 -1 eps)))
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(pow.f64 (.f64 (.f64 (+.f64 1 (/.f64 -1 eps)) (neg.f64 eps)) x) 1)

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

localize11.0ms (0.1%)

Compiler: Compiled 25 to 12 computations (52% saved)

eval247.0ms (2%)

Compiler: Compiled 13965 to 10420 computations (25.4% saved)

prune150.0ms (1.2%)

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	648	7	655
Fresh	3	7	10
Picked	0	1	1
Done	3	6	9
Total	654	21	675

Error

0.0b

Counts

675 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (/.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 1/2) 2)
✓	46.8b	(/.f64 (/.f64 (/.f64 x (exp.f64 x)) 1/2) 2)
	62.0b	(/.f64 (/.f64 x eps) 2)
✓	0.3b	(/.f64 (/.f64 2 (/.f64 (exp.f64 x) (+.f64 x 1))) 2)
	16.4b	(/.f64 (+.f64 (+.f64 1 (.f64 (-.f64 eps 1) x)) (exp.f64 (.f64 x (-.f64 -1 eps)))) 2)
	16.5b	(/.f64 (+.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (-.f64 1 (.f64 x eps))) 2)
	13.2b	(/.f64 (+.f64 (exp.f64 (.f64 eps x)) (exp.f64 (.f64 x (-.f64 -1 eps)))) 2)
✓	16.5b	(/.f64 (+.f64 (exp.f64 (neg.f64 x)) 1) 2)
	47.1b	(/.f64 (+.f64 x (*.f64 x (+.f64 -1 (neg.f64 eps)))) 2)
	16.5b	(/.f64 (+.f64 2 (.f64 x (-.f64 (/.f64 -1 eps) (.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))))) 2)
	19.4b	(/.f64 (+.f64 2 (.f64 x (.f64 (/.f64 1 eps) (-.f64 (+.f64 -1 (*.f64 eps eps)) -1)))) 2)
	16.5b	(/.f64 (+.f64 2 (*.f64 x (neg.f64 eps))) 2)
	16.5b	(/.f64 (+.f64 2 (*.f64 x eps)) 2)
	16.4b	(/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 2)
	16.5b	(/.f64 (+.f64 2 x) 2)
	16.5b	(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2)
✓	0.3b	(/.f64 (*.f64 (/.f64 (+.f64 x (+.f64 1 x)) (exp.f64 x)) (+.f64 1 (/.f64 1 (-.f64 (+.f64 x x) -1)))) 2)
	61.8b	(/.f64 (.f64 (-.f64 (/.f64 1 eps) 1) (.f64 x eps)) 2)
✓	16.2b	(/.f64 2 2)
	54.7b	(-.f64 1 (+.f64 1 (.f64 eps (.f64 x 1/2))))
✓	61.8b	(.f64 (.f64 x eps) -1/2)

Compiler

Compiled 258 to 206 computations (20.2% saved)

regimes61.0ms (0.5%)

Counts

39 → 1

Calls

Call 1

Inputs
(/.f64 2 2)
(.f64 (.f64 x eps) -1/2)
(/.f64 (+.f64 2 x) 2)
(/.f64 (/.f64 x eps) 2)
(/.f64 (*.f64 x (neg.f64 eps)) 2)
(/.f64 (+.f64 2 (*.f64 x eps)) 2)
(/.f64 (+.f64 2 (*.f64 x (neg.f64 eps))) 2)
(-.f64 1 (+.f64 1 (.f64 eps (.f64 x 1/2))))
(-.f64 (-.f64 1 (*.f64 x (/.f64 eps 2))) 1)
(/.f64 (+.f64 x (*.f64 x (+.f64 -1 (neg.f64 eps)))) 2)
(/.f64 (.f64 (-.f64 (/.f64 1 eps) 1) (.f64 x eps)) 2)
(/.f64 (.f64 (-.f64 (/.f64 1 eps) 1) (.f64 (+.f64 1 eps) x)) 2)
(/.f64 (+.f64 2 (.f64 x (.f64 (/.f64 1 eps) (-.f64 (+.f64 -1 (*.f64 eps eps)) -1)))) 2)
(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) eps))) 2)
(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (/.f64 -1 eps)))) 2)
(/.f64 (+.f64 2 (.f64 x (-.f64 (/.f64 -1 eps) (.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 2 (.f64 x (.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) (-.f64 1 (*.f64 (-.f64 eps 1) (/.f64 1 eps))))))) 2)
(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 -1 eps) (/.f64 1 eps)) (*.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))))) 2)
(/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (*.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (.f64 (-.f64 eps 1) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 1 (.f64 x (+.f64 eps 1))))) 2)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) 1) 2)
(/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 2)
(/.f64 (/.f64 (/.f64 x (exp.f64 x)) 1/2) 2)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2)
(/.f64 (/.f64 2 (/.f64 (exp.f64 x) (+.f64 x 1))) 2)
(/.f64 (/.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 1/2) 2)
(/.f64 (+.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (-.f64 1 (.f64 x eps))) 2)
(/.f64 (+.f64 (+.f64 1 (.f64 (-.f64 eps 1) x)) (exp.f64 (.f64 x (-.f64 -1 eps)))) 2)
(/.f64 (*.f64 (/.f64 (+.f64 x (+.f64 1 x)) (exp.f64 x)) (+.f64 1 (/.f64 1 (-.f64 (+.f64 x x) -1)))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (*.f64 (+.f64 (/.f64 1 eps) -1) 1)) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (-.f64 1 (.f64 x (+.f64 eps 1))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (.f64 (-.f64 eps 1) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (+.f64 (exp.f64 (.f64 eps x)) (exp.f64 (.f64 x (-.f64 -1 eps)))) 2)
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x (-.f64 -1 x)))) 2)
(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps 1))) (exp.f64 (.f64 x (-.f64 -1 eps)))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))) 2)
(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
(/.f64 (-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x))))) 2)
(/.f64 (+.f64 (.f64 x (.f64 (+.f64 eps 1) (-.f64 (/.f64 1 eps) (-.f64 1 (.f64 (-.f64 eps 1) (/.f64 1 eps)))))) (+.f64 2 (+.f64 (.f64 (pow.f64 x 2) (.f64 1/2 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 2)) (.f64 (+.f64 -1 (/.f64 1 eps)) (pow.f64 (+.f64 eps 1) 2))))) (.f64 (pow.f64 x 3) (-.f64 (.f64 1/6 (.f64 (+.f64 1 (/.f64 1 eps)) (pow.f64 (-.f64 eps 1) 3))) (.f64 (pow.f64 (+.f64 eps 1) 3) (.f64 -1/6 (+.f64 -1 (/.f64 1 eps))))))))) 2)

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

Calls

4 calls:

17.0ms	eps
16.0ms	x
6.0ms	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)
4.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`eps`
0.3b	1	`(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))) 2)`
0.3b	1	`(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))`

Compiler

Compiled 728 to 556 computations (23.6% saved)

regimes35.0ms (0.3%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	eps
13.0ms	x

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`eps`

Compiler

Compiled 317 to 240 computations (24.3% saved)

regimes62.0ms (0.5%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	eps
20.0ms	x

Results

Error	Segments	Branch
1.3b	2	`x`
15.0b	3	`eps`

Compiler

Compiled 307 to 233 computations (24.1% saved)

bsearch67.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
67.0ms	0.015823012675566794	10.183830152998313

Results

35.0ms	67×	body	1024	valid
15.0ms	31×	body	512	valid
7.0ms	44×	body	256	infinite
5.0ms	6×	body	2048	valid
4.0ms	24×	body	256	valid

Compiler

Compiled 212 to 181 computations (14.6% saved)

regimes60.0ms (0.5%)

Counts

22 → 2

Calls

Call 1

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

Outputs
(/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 2)
(/.f64 (+.f64 x (*.f64 x (+.f64 -1 (neg.f64 eps)))) 2)

Calls

2 calls:

34.0ms	eps
18.0ms	x

Results

Error	Segments	Branch
1.3b	2	`x`
15.0b	3	`eps`

Compiler

Compiled 289 to 219 computations (24.2% saved)

bsearch65.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
65.0ms	0.015823012675566794	10.183830152998313

Results

31.0ms	64×	body	1024	valid
12.0ms	36×	body	512	valid
8.0ms	11×	body	2048	valid
6.0ms	37×	body	256	infinite
3.0ms	17×	body	256	valid

Compiler

Compiled 228 to 189 computations (17.1% saved)

regimes51.0ms (0.4%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	eps
18.0ms	x

Results

Error	Segments	Branch
1.4b	2	`x`
15.0b	3	`eps`

Compiler

Compiled 281 to 212 computations (24.6% saved)

bsearch59.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
59.0ms	10.183830152998313	4696762.251591194

Results

26.0ms	51×	body	1024	valid
11.0ms	35×	body	512	valid
8.0ms	51×	body	256	valid
6.0ms	40×	body	256	infinite
5.0ms	7×	body	2048	valid

Compiler

Compiled 414 to 335 computations (19.1% saved)

regimes46.0ms (0.4%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	eps
17.0ms	x

Results

Error	Segments	Branch
1.4b	2	`x`
15.0b	3	`eps`

Compiler

Compiled 219 to 162 computations (26% saved)

bsearch54.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
53.0ms	10.183830152998313	4696762.251591194

Results

25.0ms	52×	body	1024	valid
10.0ms	58×	body	256	valid
10.0ms	31×	body	512	valid
5.0ms	31×	body	256	infinite
2.0ms	3×	body	2048	valid

Compiler

Compiled 207 to 173 computations (16.4% saved)

regimes26.0ms (0.2%)

Counts

9 → 2

Calls

Call 1

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

Outputs
(/.f64 2 2)
(-.f64 1 (+.f64 1 (.f64 eps (.f64 x 1/2))))

Calls

2 calls:

14.0ms	eps
10.0ms	x

Results

Error	Segments	Branch
9.0b	2	`x`
15.0b	3	`eps`

Compiler

Compiled 65 to 45 computations (30.8% saved)

bsearch57.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
57.0ms	10.183830152998313	4696762.251591194

Results

28.0ms	55×	body	1024	valid
10.0ms	33×	body	512	valid
9.0ms	53×	body	256	valid
6.0ms	40×	body	256	infinite
2.0ms	3×	body	2048	valid

Compiler

Compiled 198 to 173 computations (12.6% saved)

regimes11.0ms (0.1%)

Accuracy

Total -46.5b remaining (-287.1%)

Threshold costs -46.5b (-287.1%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(/.f64 2 2)

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
16.2b	1	`x`
16.2b	1	`eps`

Compiler

Compiled 47 to 31 computations (34% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	364

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 1/2) 2)
(/.f64 (/.f64 2 (/.f64 (exp.f64 x) (+.f64 x 1))) 2)
(if (<=.f64 x 2589569785738035/2251799813685248) (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 2) (/.f64 (/.f64 (/.f64 x (exp.f64 x)) 1/2) 2))
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 2) (/.f64 (+.f64 x (*.f64 x (+.f64 -1 (neg.f64 eps)))) 2))
(if (<=.f64 x 360) (/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))))) 2) (/.f64 (+.f64 x (.f64 x (+.f64 -1 (neg.f64 eps)))) 2))
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 (+.f64 x (*.f64 x (+.f64 -1 (neg.f64 eps)))) 2))
(if (<=.f64 x 370) (/.f64 2 2) (-.f64 1 (+.f64 1 (.f64 eps (.f64 x 1/2)))))
(/.f64 2 2)

Outputs
(/.f64 (/.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 1/2) 2)
(/.f64 (/.f64 2 (/.f64 (exp.f64 x) (+.f64 x 1))) 2)
(if (<=.f64 x 2589569785738035/2251799813685248) (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 2) (/.f64 (/.f64 (/.f64 x (exp.f64 x)) 1/2) 2))
(if (<=.f64 x 3152519739159347/2251799813685248) (/.f64 (+.f64 2 (neg.f64 (pow.f64 x 2))) 2) (/.f64 (+.f64 x (*.f64 x (+.f64 -1 (neg.f64 eps)))) 2))
(if (<=.f64 x 360) (/.f64 (+.f64 2 (.f64 x (-.f64 (.f64 (+.f64 -1 eps) (+.f64 1 (/.f64 1 eps))) (.f64 (+.f64 -1 (/.f64 1 eps)) (neg.f64 (+.f64 eps 1)))))) 2) (/.f64 (+.f64 x (.f64 x (+.f64 -1 (neg.f64 eps)))) 2))
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 (+.f64 x (*.f64 x (+.f64 -1 (neg.f64 eps)))) 2))
(if (<=.f64 x 360) 1 (/.f64 (+.f64 x (*.f64 x (+.f64 -1 (neg.f64 eps)))) 2))
(if (<=.f64 x 370) (/.f64 2 2) (-.f64 1 (+.f64 1 (.f64 eps (.f64 x 1/2)))))
(if (<=.f64 x 370) 1 (-.f64 1 (+.f64 1 (.f64 eps (.f64 x 1/2)))))
(/.f64 2 2)
1

Compiler

Compiled 148 to 119 computations (19.6% saved)

soundness321.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

1334×	`rational.json-simplify-2`
1268×	`rational.json-simplify-51`
1240×	`rational.json-simplify-35`
1128×	`rational.json-simplify-51`
1126×	`rational.json-simplify-35`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	51	89
2	80	89
3	130	89
4	198	85
5	328	81
6	650	81
7	901	81
8	1066	81
9	1418	81
10	2436	81
11	4135	81
12	5663	81
13	7047	81
14	7907	81
0	349	9333
1	772	8737
2	1598	8535
3	3192	8353
4	5529	7795
5	7453	7783

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 419 to 282 computations (32.7% saved)

end71.0ms (0.6%)

Compiler: Compiled 134 to 101 computations (24.6% saved)