Details

analyze140.0ms (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)

sample4.5s (31.8%)

Results

1.7s	2074×	body	1024	valid
1.6s	4885×	body	256	valid
660.0ms	1061×	body	512	valid
228.0ms	236×	body	2048	valid
167.0ms	525×	body	256	infinite
72.0ms	408×	body	256	unsamplable
12.0ms	26×	body	1024	infinite
3.0ms	10×	body	512	infinite

Bogosity

preprocess139.0ms (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)

simplify171.0ms (1.2%)

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)

prune1.0ms (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

28.3b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.3b	(/.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)

localize169.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))
✓	0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1))))
✓	0.0b	(*.f64 x (+.f64 eps -1))
✓	1.2b	(-.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)

series13.0ms (0.1%)

Counts

4 → 96

Calls

24 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) (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	x	@	inf	(*.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) (exp.f64 (.f64 x (-.f64 -1 eps)))))

rewrite125.0ms (0.9%)

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	158
1	141	158
2	280	158
3	600	158
4	1264	158
5	3705	158
6	7846	158

Stop Event

1×	node limit

Counts

4 → 104

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

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 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simplify249.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1544×	`rational.json-simplify-35`
1502×	`rational.json-simplify-49`
1196×	`rational.json-simplify-2`
1074×	`rational.json-simplify-43`
1006×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	431	11880
1	1178	11172
2	2867	10522

Stop Event

1×	node limit

Counts

200 → 284

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

eval336.0ms (2.4%)

Compiler: Compiled 10843 to 8273 computations (23.7% saved)

prune60.0ms (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	278	6	284
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	279	6	285

Error

0.0b

Counts

285 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.1b	(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 eps 1) x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))) 2)
	1.0b	(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))) 2)
▶	46.1b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (+.f64 (/.f64 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (neg.f64 x) (+.f64 eps 1)))))) 2)
▶	0.8b	(/.f64 (-.f64 (exp.f64 (.f64 x (-.f64 eps 1))) (neg.f64 (exp.f64 (.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
▶	28.8b	(/.f64 (+.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) 2)
▶	17.7b	(/.f64 2 2)

Compiler

Compiled 296 to 228 computations (23% saved)

localize38.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 78 to 50 computations (35.9% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite117.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`rational.json-1`
1624×	`rational.json-2`
1624×	`rational.json-4`
1624×	`rational.json-3`
1398×	`rational.json-simplify-35`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	77
1	112	77
2	240	77
3	520	73
4	1065	73
5	2592	65
6	4635	65
7	6687	65

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

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

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

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

simplify165.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1750×	`rational.json-simplify-35`
1174×	`rational.json-simplify-2`
1060×	`rational.json-simplify-51`
954×	`rational.json-simplify-45`
898×	`rational.json-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	225	4272
1	509	4154
2	1086	4154
3	2830	4114
4	4745	3700
5	5752	3676
6	7053	3676

Stop Event

1×	node limit

Counts

144 → 126

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize57.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))
✓	0.0b	(*.f64 (-.f64 eps 1) x)
✓	0.2b	(.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 eps 1) x))
✓	2.9b	(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 eps 1) x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps)))))

Compiler

Compiled 157 to 117 computations (25.5% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

18 calls:

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

rewrite89.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`rational.json-simplify-35`
1112×	`rational.json-1`
1112×	`rational.json-2`
1112×	`rational.json-4`
1112×	`rational.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	133
1	152	133
2	324	121
3	737	121
4	1802	115
5	4334	115

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify129.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1502×	`rational.json-simplify-51`
1206×	`rational.json-simplify-48`
870×	`rational.json-simplify-35`
826×	`rational.json-simplify-61`
826×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	291	7569
1	746	7137
2	1797	6949
3	5782	6501

Stop Event

1×	node limit

Counts

123 → 197

Calls

Call 1

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

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

localize59.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1))))
	0.0b	(*.f64 x (+.f64 eps -1))
✓	0.2b	(.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (neg.f64 x) (+.f64 eps 1)))
✓	2.9b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1)))) (+.f64 (/.f64 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (neg.f64 x) (+.f64 eps 1))))))

Compiler

Compiled 165 to 118 computations (28.5% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 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 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (neg.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 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (neg.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 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (neg.f64 x) (+.f64 eps 1))))))
0.0ms	x	@	0	(.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (neg.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 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (neg.f64 x) (+.f64 eps 1))))))

rewrite116.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`rational.json-1`
1846×	`rational.json-2`
1180×	`rational.json-4`
1180×	`rational.json-3`
1174×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	128
1	161	128
2	333	116
3	759	116
4	1845	116
5	4320	100
6	7484	100

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify165.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1700×	`rational.json-simplify-35`
1202×	`rational.json-simplify-41`
1148×	`rational.json-simplify-48`
1016×	`rational.json-simplify-1`
862×	`rational.json-simplify-2`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	216	6137
1	542	5813
2	1106	5455
3	2330	5379
4	4678	5265
5	5887	5265
6	6947	5239

Stop Event

1×	node limit

Counts

93 → 189

Calls

Call 1

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

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

localize128.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 x (-.f64 -1 eps))))
	0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 x (+.f64 eps -1))))
	0.0b	(*.f64 x (+.f64 eps -1))
✓	1.2b	(+.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))))))

Compiler

Compiled 173 to 131 computations (24.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`rational.json-simplify-35`
1172×	`rational.json-1`
1172×	`rational.json-2`
1172×	`rational.json-4`
1172×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	81
1	148	81
2	291	81
3	621	81
4	1310	81
5	3827	81

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(+.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))))))

Outputs

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

simplify185.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1670×	`rational.json-simplify-35`
1262×	`rational.json-simplify-48`
878×	`rational.json-simplify-45`
862×	`rational.json-simplify-2`
782×	`rational.json-simplify-51`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	195	4776
1	430	4444
2	824	4276
3	1556	4116
4	3072	3848
5	4315	3824
6	4910	3782
7	6080	3764
8	7860	3764

Stop Event

1×	node limit

Counts

40 → 94

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (+.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 1 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 -1 x)) (.f64 -1 (exp.f64 (.f64 -1 x))))))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))))
(+.f64 1 (+.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 1 (+.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 (+.f64 (exp.f64 x) 1) (-.f64 x (-.f64 -1 x))))
(-.f64 (+.f64 1 (+.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 (.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 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)) -1/2) (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 3) -1/6)))))) (.f64 x (exp.f64 (.f64 -1 x))))) (-.f64 1 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 -1 x)) (.f64 -1 (exp.f64 (*.f64 -1 x))))))
(+.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x (exp.f64 (neg.f64 x))) (.f64 (pow.f64 eps 2) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 1/6 (pow.f64 x 3))) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 2) -1/2)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 3) -1/6)))))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))))
(+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 2) -1/2))))) (+.f64 1 (+.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 1 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (-.f64 x (+.f64 -1 (neg.f64 x))))) (.f64 (pow.f64 eps 2) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 2) -1/2)))))))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 x) 1) (-.f64 x (-.f64 -1 x)))) (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 2) -1/2))))))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 x) 1) (-.f64 x (-.f64 -1 x)))) (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 2) -1/2)))))))
(-.f64 (+.f64 1 (+.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 x (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 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)) -1/2) (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 3) -1/6))))))) (.f64 (+.f64 (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (-.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 5) 1/120)) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 4) -1/24)) (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 5) -1/120))))) (pow.f64 eps 4)))) (-.f64 1 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 -1 x)) (.f64 -1 (exp.f64 (.f64 -1 x))))))
(+.f64 1 (-.f64 (+.f64 (.f64 x (exp.f64 (neg.f64 x))) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 eps 2) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 1/6 (pow.f64 x 3))) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 2) -1/2)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 3) -1/6))))))) (.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 1/24 (pow.f64 x 4))) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 1/120 (pow.f64 x 5))) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 4) -1/24)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 5) -1/120))))) (pow.f64 eps 4)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))))
(+.f64 1 (-.f64 (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 2) -1/2))))) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x)))) (.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/120 (pow.f64 x 5)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 5) -1/120) (.f64 (pow.f64 x 4) -1/24)))) (pow.f64 eps 4)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))))
(+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 2) -1/2))))) (+.f64 (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (-.f64 x (+.f64 -1 (neg.f64 x)))))) (.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 1/120 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 4)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 4) -1/24) (*.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4))))
(+.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 x) 1) (-.f64 x (-.f64 -1 x)))) (.f64 (pow.f64 eps 2) (.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 2) -1/2)))))) (.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (.f64 1/120 (pow.f64 x 5)) (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 (pow.f64 x 4) -1/24) (*.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4)))
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(-.f64 (+.f64 1 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)))) (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (-.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps))) (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 -1 (/.f64 -1 eps)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.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)))))) 4))) (.f64 2 (.f64 2 (.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)))))) 4)))) 32)
(-.f64 (+.f64 1 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)))) (.f64 (exp.f64 (.f64 -1 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(-.f64 (+.f64 1 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)))) (.f64 (exp.f64 (.f64 x (neg.f64 (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (-.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps))) (.f64 (exp.f64 (.f64 x (neg.f64 (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps)))))
(-.f64 (+.f64 1 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)))) (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (-.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps))) (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 -1 (/.f64 -1 eps)))))
(pow.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 1 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)))) (.f64 (exp.f64 (.f64 -1 (*.f64 x (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(-.f64 (+.f64 1 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)))) (.f64 (exp.f64 (.f64 x (neg.f64 (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (-.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps))) (.f64 (exp.f64 (.f64 x (neg.f64 (+.f64 1 eps)))) (+.f64 -1 (/.f64 1 eps)))))
(-.f64 (+.f64 1 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps)))) (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (+.f64 -1 (/.f64 1 eps))))
(+.f64 1 (-.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 1 (/.f64 1 eps))) (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 -1 (/.f64 -1 eps)))))

eval1.1s (7.8%)

Compiler: Compiled 35603 to 26583 computations (25.3% saved)

prune628.0ms (4.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	956	14	970
Fresh	1	0	1
Picked	1	0	1
Done	3	1	4
Total	961	15	976

Error

0.0b

Counts

976 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	46.5b	(/.f64 (-.f64 (/.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 2) (.f64 eps (/.f64 2 (+.f64 1 eps)))) (+.f64 (/.f64 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 eps 1)))))) 2)
	39.3b	(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 eps 1) x)))) (+.f64 (/.f64 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (neg.f64 x) (+.f64 eps 1)))))) 2)
	39.3b	(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (.f64 x (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)))) (+.f64 (/.f64 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (neg.f64 x) (+.f64 eps 1)))))) 2)
	14.4b	(/.f64 (-.f64 (exp.f64 (.f64 x (-.f64 eps 1))) (neg.f64 (exp.f64 (.f64 x (neg.f64 eps))))) 2)
▶	0.8b	(/.f64 (+.f64 (+.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) -1) (+.f64 1 (exp.f64 (.f64 x (+.f64 eps -1))))) 2)
	1.0b	(/.f64 (+.f64 (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x (+.f64 -1 (neg.f64 x)))))) -1) 2)
	18.0b	(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 x) 1) (-.f64 x (-.f64 -1 x)))) -1) 2)
	18.1b	(/.f64 (+.f64 (exp.f64 (.f64 x (-.f64 eps 1))) (-.f64 (+.f64 x (-.f64 1 x)) (.f64 x eps))) 2)
	3.1b	(/.f64 (+.f64 x (+.f64 (.f64 x (+.f64 -1 eps)) (-.f64 (exp.f64 (.f64 x (neg.f64 (+.f64 1 eps)))) -1))) 2)
	18.2b	(/.f64 (+.f64 1 (-.f64 (+.f64 (.f64 x (neg.f64 eps)) (exp.f64 (.f64 x (+.f64 -1 eps)))) (neg.f64 (+.f64 x (neg.f64 x))))) 2)
▶	18.1b	(/.f64 (+.f64 1 (-.f64 (+.f64 x (.f64 x (+.f64 -1 eps))) (neg.f64 (exp.f64 (.f64 x (neg.f64 (+.f64 1 eps))))))) 2)
▶	2.6b	(/.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (pow.f64 (.f64 eps x) 2))) 2)
▶	61.7b	(/.f64 (*.f64 x eps) 2)
▶	1.7b	(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
✓	17.7b	(/.f64 2 2)

Compiler

Compiled 637 to 495 computations (22.3% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 -1 eps))
	0.0b	(*.f64 x (+.f64 eps -1))
✓	0.0b	(+.f64 (+.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) -1) (+.f64 1 (exp.f64 (.f64 x (+.f64 eps -1)))))
✓	6.2b	(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) -1)

Compiler

Compiled 87 to 63 computations (27.6% saved)

series41.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
37.0ms	x	@	0	(*.f64 x (-.f64 -1 eps))
1.0ms	x	@	0	(+.f64 (+.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) -1) (+.f64 1 (exp.f64 (.f64 x (+.f64 eps -1)))))
0.0ms	x	@	inf	(*.f64 x (-.f64 -1 eps))
0.0ms	x	@	0	(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) -1)
0.0ms	eps	@	0	(+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) -1)

rewrite137.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`rational.json-1`
1576×	`rational.json-2`
1576×	`rational.json-3`
1560×	`rational.json-4`
1276×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	87
1	119	87
2	244	75
3	541	75
4	1171	75
5	2402	75
6	4000	75
7	5851	75
8	7455	75

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

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

Outputs

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

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

simplify389.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1394×	`rational.json-simplify-35`
1056×	`rational.json-simplify-61`
1022×	`rational.json-simplify-51`
990×	`rational.json-simplify-1`
878×	`rational.json-simplify-2`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	237	4874
1	531	4476
2	1159	4476
3	2439	4428
4	4014	3918
5	4671	3878
6	5259	3854
7	5968	3854
8	7389	3818

Stop Event

1×	node limit

Counts

134 → 154

Calls

Call 1

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

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

localize5.0ms (0%)

Compiler: Compiled 13 to 6 computations (53.8% saved)

localize16.0ms (0.1%)

Compiler: Compiled 21 to 11 computations (47.6% saved)

localize94.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 104 to 73 computations (29.8% saved)

series3.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`rational.json-simplify-35`
1280×	`exponential.json-3`
1280×	`rational.json-1`
1280×	`rational.json-2`
1280×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	104
1	130	96
2	277	72
3	674	68
4	1648	68
5	3751	68
6	6135	68

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 eps (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x eps)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 eps (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 x (.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 eps 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (.f64 x eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 eps eps) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 eps 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 eps (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 1/2) (+.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 eps 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 x (.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x eps) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 eps (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 eps 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 eps (neg.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 x (.f64 eps 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 eps (neg.f64 x)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 x (.f64 eps 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 x (.f64 eps 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 x (.f64 eps 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 x (.f64 eps 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 eps (neg.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (.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 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 0 (neg.f64 (.f64 x (+.f64 -1 eps))))))) (#(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 (neg.f64 (.f64 x (+.f64 -1 eps))) -1)))) (#(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 (neg.f64 (.f64 x (+.f64 -1 eps)))) -2)))) (#(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 2 (.f64 2 (.f64 2 (.f64 (+.f64 -1 eps) (.f64 x 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 -1 eps) (.f64 x 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 -1 eps) (.f64 x 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 -1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 x (+.f64 -1 eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 x (.f64 x eps))))))) (#(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 0 (+.f64 x (.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 -1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 -1 eps) (+.f64 x x)) 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 x (.f64 x eps)) -1)))) (#(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 x (+.f64 eps (+.f64 eps 2))) -2)))) (#(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 2 (.f64 2 (.f64 2 (.f64 x (.f64 (-.f64 -1 eps) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 x (.f64 (-.f64 -1 eps) 4))))) (.f64 2 (.f64 2 (.f64 2 (.f64 x (.f64 (-.f64 -1 eps) 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (-.f64 -1 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x (*.f64 x eps)))))))
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simplify527.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1322×	`rational.json-simplify-35`
1052×	`rational.json-simplify-43`
964×	`rational.json-simplify-45`
806×	`rational.json-simplify-53`
782×	`rational.json-simplify-49`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	278	4420
1	689	4294
2	1570	4274
3	4501	4160
4	6915	3828

Stop Event

1×	node limit

Counts

202 → 193

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 eps x) 2)
✓	1.5b	(.f64 (exp.f64 (neg.f64 x)) (+.f64 2 (pow.f64 (.f64 eps x) 2)))

Compiler

Compiled 49 to 24 computations (51% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite104.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1320×	`rational.json-1`
1320×	`rational.json-2`
1320×	`rational.json-4`
1320×	`rational.json-3`
1316×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	86	42
2	199	42
3	430	42
4	912	42
5	2522	42
6	5701	42

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

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

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

simplify155.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1356×	`rational.json-simplify-35`
1208×	`rational.json-simplify-1`
1090×	`rational.json-simplify-46`
1064×	`rational.json-simplify-2`
786×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	4503
1	697	3153
2	1982	3153
3	4891	3145
4	7956	3145

Stop Event

1×	node limit

Counts

141 → 115

Calls

Call 1

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

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

eval203.0ms (1.4%)

Compiler: Compiled 10851 to 7871 computations (27.5% saved)

prune113.0ms (0.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	479	5	484
Fresh	2	7	9
Picked	1	0	1
Done	3	2	5
Total	485	14	499

Error

0.0b

Counts

499 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	2.6b	(/.f64 (/.f64 (+.f64 2 (pow.f64 (*.f64 x eps) 2)) (exp.f64 x)) 2)
▶	1.7b	(/.f64 (/.f64 2 (exp.f64 x)) 2)
▶	46.5b	(/.f64 (-.f64 (/.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 2) (.f64 eps (/.f64 2 (+.f64 1 eps)))) (+.f64 (/.f64 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 eps 1)))))) 2)
	39.3b	(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 eps 1) x)))) (+.f64 (/.f64 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (neg.f64 x) (+.f64 eps 1)))))) 2)
▶	39.3b	(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (.f64 x (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)))) (+.f64 (/.f64 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (neg.f64 x) (+.f64 eps 1)))))) 2)
	18.2b	(/.f64 (-.f64 (+.f64 (.f64 x eps) (exp.f64 (.f64 x (-.f64 -1 eps)))) -1) 2)
	14.4b	(/.f64 (-.f64 (exp.f64 (.f64 x (-.f64 eps 1))) (neg.f64 (exp.f64 (.f64 x (neg.f64 eps))))) 2)
	13.7b	(/.f64 (+.f64 (+.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) -1) (+.f64 1 (exp.f64 (.f64 x eps)))) 2)
▶	1.0b	(/.f64 (+.f64 (+.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x (+.f64 -1 (neg.f64 x)))))) -1) 2)
	18.0b	(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 (exp.f64 x) 1) (-.f64 x (-.f64 -1 x)))) -1) 2)
▶	18.3b	(/.f64 (+.f64 (.f64 x (-.f64 -1 eps)) (+.f64 1 (exp.f64 (.f64 x (+.f64 eps -1))))) 2)
	18.2b	(/.f64 (+.f64 1 (-.f64 (+.f64 (.f64 x (neg.f64 eps)) (exp.f64 (.f64 x (+.f64 -1 eps)))) (neg.f64 (+.f64 x (neg.f64 x))))) 2)
✓	61.7b	(/.f64 (*.f64 x eps) 2)
✓	17.7b	(/.f64 2 2)

Compiler

Compiled 564 to 440 computations (22% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 99 to 48 computations (51.5% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite138.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1908×	`rational.json-1`
1282×	`rational.json-simplify-35`
1198×	`rational.json-simplify-2`
1100×	`exponential.json-3`
1100×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	138
1	110	118
2	254	102
3	625	82
4	1615	82
5	4106	82
6	7905	82

Stop Event

1×	node limit

Counts

4 → 266

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 1))))) (#(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 1 (+.f64 -1 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))))))) (#(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 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x (+.f64 x 1)) (.f64 (exp.f64 x) 2)) (/.f64 (+.f64 x (+.f64 x 1)) (.f64 (exp.f64 x) 2)))))) (#(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 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x (+.f64 x 1)) (.f64 (exp.f64 x) 2)) (/.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 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (+.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 (exp.f64 x) (/.f64 -2 (-.f64 -1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (.f64 (exp.f64 x) (/.f64 -2 (-.f64 -1 (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (+.f64 x 1)) 2) (.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (+.f64 x 1)) 2) (-.f64 0 (.f64 2 (neg.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (+.f64 x 1)) 2) (-.f64 0 (neg.f64 (.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (exp.f64 x)) (+.f64 (/.f64 -1 (-.f64 -1 (+.f64 x x))) (/.f64 -1 (-.f64 -1 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (.f64 2 (.f64 (exp.f64 x) (/.f64 -2 (-.f64 -1 (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (.f64 (exp.f64 x) 4) (+.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 x (+.f64 x 1)) 2) (exp.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (+.f64 x x)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (+.f64 (.f64 2 (.f64 (exp.f64 x) (/.f64 -2 (-.f64 -1 (+.f64 x x))))) (.f64 2 (.f64 (exp.f64 x) (/.f64 -2 (-.f64 -1 (+.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (+.f64 x 1)) 4) (.f64 (exp.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (exp.f64 x) (.f64 (+.f64 x (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify228.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1438×	`rational.json-simplify-53`
1372×	`rational.json-simplify-2`
1118×	`rational.json-simplify-1`
982×	`rational.json-simplify-50`
724×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	401	8838
1	1060	8534
2	3468	8142
3	5659	8118

Stop Event

1×	node limit

Counts

314 → 272

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

localize114.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (neg.f64 x) (+.f64 eps 1)))))
✓	0.2b	(.f64 x (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)))
	0.2b	(.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (neg.f64 x) (+.f64 eps 1)))
✓	11.0b	(-.f64 (+.f64 (+.f64 1 (/.f64 1 eps)) (.f64 x (.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 eps 1)))) (+.f64 (/.f64 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (neg.f64 x) (+.f64 eps 1))))))

Compiler

Compiled 189 to 138 computations (27% saved)

series6.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`rational.json-1`
1670×	`rational.json-2`
1670×	`rational.json-4`
1670×	`rational.json-3`
1664×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	191
1	165	179
2	371	155
3	917	155
4	2511	131
5	6256	131

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps))) (-.f64 1 (*.f64 (+.f64 1 eps) (neg.f64 (-.f64 (/.f64 x eps) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 eps) (+.f64 (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps))) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 1 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 eps)) (-.f64 (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps))) (-.f64 2 (*.f64 (+.f64 1 eps) (neg.f64 (-.f64 (/.f64 x eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 x (+.f64 eps -1)))) (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (+.f64 (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps))) (-.f64 2 (*.f64 (+.f64 1 eps) (neg.f64 (-.f64 (/.f64 x eps) x))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps))) (-.f64 2 (*.f64 (+.f64 1 eps) (neg.f64 (-.f64 (/.f64 x eps) x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps))) (-.f64 2 (*.f64 (+.f64 1 eps) (neg.f64 (-.f64 (/.f64 x eps) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (*.f64 (+.f64 1 eps) (neg.f64 (-.f64 (/.f64 x eps) x)))) (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 eps) (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps)))) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps)))) (-.f64 1 (*.f64 (+.f64 1 eps) (neg.f64 (-.f64 (/.f64 x eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (+.f64 1 eps) (neg.f64 (-.f64 (/.f64 x eps) x)))) (+.f64 1 (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps))) (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 1 eps))))) (+.f64 1 (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 1 eps))))) (+.f64 (/.f64 1 eps) (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps))) (-.f64 1 (*.f64 (+.f64 1 eps) (neg.f64 (-.f64 (/.f64 x eps) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps))) (-.f64 1 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 1 eps)))))) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1 eps) -1) (+.f64 1 (*.f64 (neg.f64 x) (+.f64 1 eps))))) (*.f64 (+.f64 1 (/.f64 1 eps)) (+.f64 1 (*.f64 x (+.f64 eps -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps))) (-.f64 2 (*.f64 (+.f64 1 eps) (neg.f64 (-.f64 (/.f64 x eps) x))))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps))) (-.f64 2 (*.f64 (+.f64 1 eps) (neg.f64 (-.f64 (/.f64 x eps) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (+.f64 -1 (*.f64 (+.f64 1 eps) (-.f64 (neg.f64 (-.f64 (/.f64 x eps) x)) (*.f64 x (+.f64 1 (/.f64 -1 eps))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 eps -1) (+.f64 x (/.f64 x eps))) (-.f64 2 (*.f64 (+.f64 1 eps) (neg.f64 (-.f64 (/.f64 x eps) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (*.f64 (+.f64 eps -1) (+.f64 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simplify199.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1202×	`rational.json-simplify-2`
1110×	`rational.json-simplify-1`
1010×	`rational.json-simplify-35`
822×	`rational.json-simplify-51`
620×	`rational.json-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	211	7632
1	530	7038
2	1179	6274
3	3150	5382
4	6304	4970

Stop Event

1×	node limit

Counts

142 → 169

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`rational.json-simplify-35`
1000×	`rational.json-1`
1000×	`rational.json-2`
1000×	`rational.json-3`
998×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	48	11
2	122	11
3	278	11
4	550	11
5	1418	11
6	4043	11

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

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

simplify114.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational.json-simplify-53`
1166×	`rational.json-simplify-51`
1072×	`rational.json-simplify-46`
1010×	`rational.json-simplify-35`
982×	`rational.json-simplify-19`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	73	721
1	132	711
2	230	683
3	418	663
4	1230	663
5	3896	639
6	7508	639

Stop Event

1×	node limit

Counts

33 → 50

Calls

Call 1

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

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

localize77.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 67 to 47 computations (29.9% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite135.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1656×	`rational.json-1`
1408×	`rational.json-2`
1408×	`rational.json-3`
1400×	`exponential.json-3`
1400×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	105	64
2	213	64
3	428	64
4	863	64
5	2138	64
6	4446	64
7	6147	64
8	7913	64

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

simplify258.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1526×	`rational.json-simplify-35`
1354×	`rational.json-simplify-2`
1122×	`rational.json-simplify-1`
1056×	`rational.json-simplify-48`
772×	`rational.json-simplify-51`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	173	3664
1	410	3486
2	921	3458
3	2283	3278
4	3716	3252
5	4360	3252
6	4616	3252
7	4929	3252
8	5256	3216
9	5860	3216
10	6143	3216
11	6711	3216

Stop Event

1×	node limit

Counts

92 → 149

Calls

Call 1

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

Outputs
2
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(+.f64 2 (.f64 x (+.f64 (.f64 -1 (+.f64 eps 1)) (+.f64 eps -1))))
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(.f64 -1 (.f64 (+.f64 eps 1) x))
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(.f64 -1 (.f64 (+.f64 1 eps) x))
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(.f64 -1 (.f64 eps x))
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2
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(.f64 1/2 (+.f64 2 (.f64 2 (exp.f64 (*.f64 x (+.f64 eps -1))))))
(.f64 4 (/.f64 (+.f64 1 (exp.f64 (.f64 x (-.f64 eps 1)))) 4))
(+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1))))
(.f64 (.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1)))) 4) 1/4)
(+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1))))
(.f64 1/2 (+.f64 2 (.f64 (exp.f64 (*.f64 x (-.f64 eps 1))) 2)))
(.f64 1/2 (+.f64 2 (.f64 2 (exp.f64 (*.f64 x (+.f64 eps -1))))))
(.f64 1/4 (.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1)))) 4))
(+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1))))
(.f64 (.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1)))) 1/2) 2)
(+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1))))
(.f64 (/.f64 (+.f64 1 (exp.f64 (.f64 x (-.f64 eps 1)))) 4) 4)
(+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1)))) 1)
(+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1))))
(/.f64 (+.f64 2 (.f64 (exp.f64 (.f64 x (-.f64 eps 1))) 2)) 2)
(/.f64 (+.f64 2 (.f64 2 (exp.f64 (.f64 x (+.f64 eps -1))))) 2)
(/.f64 (.f64 (+.f64 1 (exp.f64 (.f64 x (-.f64 eps 1)))) 4) 4)
(+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1))))
(/.f64 (.f64 (+.f64 1 (exp.f64 (.f64 x (-.f64 eps 1)))) 8) 8)
(+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1))))
(/.f64 (.f64 2 (.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1)))) 8)) 16)
(+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (exp.f64 (.f64 x (-.f64 eps 1)))) 8))) 32)
(+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1)))) 8)))) 64)
(+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1))))
(pow.f64 (+.f64 1 (exp.f64 (*.f64 x (-.f64 eps 1)))) 1)
(+.f64 1 (exp.f64 (*.f64 x (+.f64 eps -1))))

localize162.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 x (+.f64 eps -1))
✓	0.1b	(*.f64 eps (/.f64 2 (+.f64 1 eps)))
	0.2b	(.f64 (+.f64 -1 (/.f64 1 eps)) (.f64 (neg.f64 x) (+.f64 eps 1)))
✓	3.4b	(-.f64 (/.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 2) (.f64 eps (/.f64 2 (+.f64 1 eps)))) (+.f64 (/.f64 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 eps 1))))))

Compiler

Compiled 195 to 140 computations (28.2% saved)

series8.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	(*.f64 eps (/.f64 2 (+.f64 1 eps)))
1.0ms	x	@	0	(-.f64 (/.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 2) (.f64 eps (/.f64 2 (+.f64 1 eps)))) (+.f64 (/.f64 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 eps 1))))))
1.0ms	x	@	-inf	(-.f64 (/.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 2) (.f64 eps (/.f64 2 (+.f64 1 eps)))) (+.f64 (/.f64 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 eps 1))))))
1.0ms	x	@	inf	(-.f64 (/.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 2) (.f64 eps (/.f64 2 (+.f64 1 eps)))) (+.f64 (/.f64 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 eps 1))))))
1.0ms	eps	@	-inf	(-.f64 (/.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 2) (.f64 eps (/.f64 2 (+.f64 1 eps)))) (+.f64 (/.f64 1 eps) (+.f64 -1 (.f64 (+.f64 -1 (/.f64 1 eps)) (*.f64 (neg.f64 x) (+.f64 eps 1))))))

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`exponential.json-3`
1486×	`rational.json-1`
1486×	`rational.json-2`
1486×	`rational.json-4`
1486×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	124
1	195	124
2	463	100
3	1404	96
4	4547	96

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs

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

(*.f64 eps (/.f64 2 (+.f64 1 eps)))

Outputs

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

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

simplify190.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1112×	`rational.json-simplify-2`
1080×	`rational.json-simplify-46`
1056×	`rational.json-simplify-1`
1018×	`rational.json-simplify-48`
988×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	216	4864
1	543	4640
2	1117	4520
3	2628	4256
4	5836	4196
5	7737	4196

Stop Event

1×	node limit

Counts

74 → 153

Calls

Call 1

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

eval473.0ms (3.3%)

Compiler: Compiled 26273 to 18628 computations (29.1% saved)

prune227.0ms (1.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	944	7	951
Fresh	3	4	7
Picked	1	0	1
Done	4	2	6
Total	952	13	965

Error

0.0b

Counts

965 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	2.6b	(/.f64 (/.f64 (+.f64 2 (pow.f64 (*.f64 x eps) 2)) (exp.f64 x)) 2)
	46.4b	(/.f64 (-.f64 (/.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 2) (.f64 eps (/.f64 2 (+.f64 1 eps)))) (+.f64 (/.f64 1 eps) (+.f64 -1 (.f64 x eps)))) 2)
	18.3b	(/.f64 (-.f64 (+.f64 (.f64 x (-.f64 -1 eps)) (exp.f64 (.f64 x (-.f64 eps 1)))) -1) 2)
	18.2b	(/.f64 (-.f64 (+.f64 (.f64 x eps) (exp.f64 (.f64 x (-.f64 -1 eps)))) -1) 2)
	14.4b	(/.f64 (-.f64 (exp.f64 (.f64 x (-.f64 eps 1))) (neg.f64 (exp.f64 (.f64 x (neg.f64 eps))))) 2)
	50.7b	(/.f64 (+.f64 (/.f64 1 eps) (+.f64 (.f64 (/.f64 x eps) (-.f64 (.f64 eps eps) 1)) (-.f64 1 (+.f64 (/.f64 1 eps) (+.f64 (*.f64 x eps) (-.f64 -1 (/.f64 x eps))))))) 2)
	13.7b	(/.f64 (+.f64 (+.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) -1) (+.f64 1 (exp.f64 (.f64 x eps)))) 2)
	1.0b	(/.f64 (+.f64 (+.f64 1 (/.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 1/2)) -1) 2)
	17.9b	(/.f64 (+.f64 (+.f64 1 (+.f64 2 (neg.f64 (pow.f64 x 2)))) -1) 2)
	18.3b	(/.f64 (+.f64 (.f64 x (-.f64 -1 eps)) (+.f64 1 (exp.f64 (.f64 x eps)))) 2)
	45.5b	(/.f64 (*.f64 x (-.f64 (+.f64 eps (/.f64 -1 eps)) (+.f64 eps (/.f64 -1 eps)))) 2)
✓	61.7b	(/.f64 (*.f64 x eps) 2)
✓	17.7b	(/.f64 2 2)

Compiler

Compiled 222 to 171 computations (23% saved)

regimes53.0ms (0.4%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	x
14.0ms	eps
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)))))
4.0ms	(/.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)

Results

Error	Segments	Branch
0.8b	1	`x`
0.8b	1	`eps`
0.8b	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)`
0.8b	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 743 to 535 computations (28% saved)

regimes34.0ms (0.2%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
11.0ms	eps

Results

Error	Segments	Branch
1.0b	1	`x`
1.0b	1	`eps`

Compiler

Compiled 502 to 361 computations (28.1% saved)

regimes16.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)

Calls

2 calls:

6.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
1.7b	1	`x`
1.7b	1	`eps`

Compiler

Compiled 177 to 130 computations (26.6% saved)

regimes13.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
1.7b	1	`x`
1.7b	1	`eps`

Compiler

Compiled 144 to 105 computations (27.1% saved)

regimes23.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	eps
8.0ms	x

Results

Error	Segments	Branch
1.2b	2	`x`
16.3b	3	`eps`

Compiler

Compiled 138 to 100 computations (27.5% saved)

bsearch68.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
68.0ms	7.140242933730737e-5	21894.0376403713

Results

37.0ms	77×	body	1024	valid
10.0ms	30×	body	512	valid
8.0ms	51×	body	256	infinite
7.0ms	32×	body	256	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 252 to 200 computations (20.6% saved)

regimes7.0ms (0.1%)

Accuracy

Total -44.1b remaining (-248.9%)

Threshold costs -44.1b (-248.9%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 2 2)

Calls

2 calls:

4.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
17.7b	1	`x`
17.7b	1	`eps`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	186

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 (.f64 x (-.f64 eps 1))) (neg.f64 (exp.f64 (.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (+.f64 (+.f64 1 (/.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 1/2)) -1) 2)
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
(/.f64 (/.f64 2 (exp.f64 x)) 2)
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 (*.f64 x (-.f64 (+.f64 eps (/.f64 -1 eps)) (+.f64 eps (/.f64 -1 eps)))) 2))
(/.f64 2 2)

Outputs
(/.f64 (-.f64 (exp.f64 (.f64 x (-.f64 eps 1))) (neg.f64 (exp.f64 (.f64 (neg.f64 x) (+.f64 eps 1))))) 2)
(/.f64 (+.f64 (+.f64 1 (/.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 1/2)) -1) 2)
(/.f64 (*.f64 2 (exp.f64 (neg.f64 x))) 2)
(/.f64 (/.f64 2 (exp.f64 x)) 2)
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 (*.f64 x (-.f64 (+.f64 eps (/.f64 -1 eps)) (+.f64 eps (/.f64 -1 eps)))) 2))
(if (<=.f64 x 360) 1 (/.f64 (*.f64 x (-.f64 (+.f64 eps (/.f64 -1 eps)) (+.f64 eps (/.f64 -1 eps)))) 2))
(/.f64 2 2)
1

Compiler

Compiled 77 to 63 computations (18.2% saved)

soundness362.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

1544×	`rational.json-simplify-35`
1502×	`rational.json-simplify-49`
1334×	`rational.json-simplify-2`
1196×	`rational.json-simplify-2`
1128×	`rational.json-simplify-51`

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	431	11880
1	1178	11172
2	2867	10522

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 232 to 181 computations (22% saved)

end44.0ms (0.3%)

Compiler: Compiled 67 to 51 computations (23.9% saved)