Details

analyze167.0ms (0.7%)

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)

sample4.8s (20.2%)

Results

1.9s	2122×	body	1024	valid
1.7s	4901×	body	256	valid
550.0ms	1005×	body	512	valid
270.0ms	228×	body	2048	valid
170.0ms	412×	body	256	unsamplable
168.0ms	474×	body	256	infinite
74.0ms	8×	body	512	infinite
11.0ms	24×	body	1024	infinite

Bogosity

preprocess111.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

3316×	`rational_best-simplify-46`
2968×	`rational_best-simplify-49`
1228×	`rational_best-simplify-2`
1116×	`rational_best-simplify-39`
824×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	178
1	85	178
2	133	174
3	219	166
4	316	158
5	410	150
6	450	150
7	475	150
8	520	150
9	603	150
10	916	150
11	1826	150
12	2785	150
13	2944	150
14	3106	150
15	3140	150
16	3140	150
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 1 (/.f64 1 eps)) (/.f64 1/2 (exp.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (/.f64 1/2 (exp.f64 (.f64 x (+.f64 1 eps))))))
(-.f64 (.f64 (exp.f64 (.f64 (-.f64 1 eps) (neg.f64 x))) (-.f64 (/.f64 1/2 eps) -1/2)) (.f64 (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 (/.f64 1/2 eps) 1/2)))
(-.f64 (.f64 (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x))) (-.f64 (/.f64 -1/2 eps) -1/2)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2)))
(-.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 (/.f64 -1/2 eps) -1/2)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2)))
(-.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2)) (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 (/.f64 1/2 eps) 1/2)))
(/.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 1 (/.f64 1 x)) (/.f64 1/2 (exp.f64 (.f64 eps (-.f64 1 x))))) (.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1/2 (exp.f64 (.f64 eps (+.f64 1 x))))))
(-.f64 (.f64 (exp.f64 (.f64 eps (-.f64 -1 (neg.f64 x)))) (-.f64 (/.f64 1/2 x) -1/2)) (.f64 (exp.f64 (.f64 eps (+.f64 (neg.f64 x) -1))) (-.f64 (/.f64 1/2 x) 1/2)))
(-.f64 (.f64 (exp.f64 (.f64 eps (+.f64 x -1))) (-.f64 (/.f64 1/2 x) -1/2)) (.f64 (exp.f64 (.f64 eps (+.f64 -1 (neg.f64 x)))) (-.f64 (/.f64 1/2 x) 1/2)))
(-.f64 (.f64 (exp.f64 (.f64 eps (+.f64 x -1))) (-.f64 (/.f64 1/2 x) -1/2)) (.f64 (exp.f64 (.f64 eps (-.f64 -1 x))) (-.f64 (/.f64 1/2 x) 1/2)))
(-.f64 (.f64 (exp.f64 (.f64 eps (-.f64 -1 x))) (-.f64 (/.f64 -1/2 x) -1/2)) (.f64 (exp.f64 (.f64 eps (+.f64 x -1))) (-.f64 (/.f64 -1/2 x) 1/2)))
(-.f64 (.f64 (exp.f64 (.f64 eps (+.f64 x -1))) (-.f64 (/.f64 1/2 x) -1/2)) (/.f64 (-.f64 (/.f64 1/2 x) 1/2) (exp.f64 (*.f64 eps (+.f64 1 x)))))

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify107.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1904×	`rational_best-simplify-46`
1620×	`rational_best-simplify-53`
1538×	`rational_best-simplify-39`
1290×	`rational_best-simplify-2`
1284×	`rational_best-simplify-49`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	47	89
2	72	87
3	119	83
4	169	79
5	219	75
6	242	75
7	256	75
8	279	75
9	323	75
10	493	75
11	960	75
12	1807	75
13	3956	75
14	6117	75
15	6344	75
16	6545	75
17	6750	75

Stop Event

1×	node limit

Counts

1 → 10

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

eval4.0ms (0%)

Compiler: Compiled 267 to 207 computations (22.5% saved)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	8	2	10
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	9	2	11

Error

29.8b

Counts

11 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.8b	(-.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 (/.f64 -1/2 eps) -1/2)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2)))
▶	29.8b	(-.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2)) (/.f64 (-.f64 (/.f64 1/2 eps) 1/2) (exp.f64 (*.f64 x (+.f64 1 eps)))))

Status

Error

Program

▶

29.8b

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

▶

29.8b

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

Compiler

Compiled 54 to 42 computations (22.2% saved)

localize159.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2))
✓	0.0b	(*.f64 x (+.f64 1 eps))
✓	0.0b	(/.f64 (-.f64 (/.f64 1/2 eps) 1/2) (exp.f64 (*.f64 x (+.f64 1 eps))))
✓	2.9b	(-.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2)) (/.f64 (-.f64 (/.f64 1/2 eps) 1/2) (exp.f64 (*.f64 x (+.f64 1 eps)))))

Compiler

Compiled 98 to 71 computations (27.6% saved)

series19.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(-.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2)) (/.f64 (-.f64 (/.f64 1/2 eps) 1/2) (exp.f64 (*.f64 x (+.f64 1 eps)))))
3.0ms	eps	@	0	(-.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2)) (/.f64 (-.f64 (/.f64 1/2 eps) 1/2) (exp.f64 (*.f64 x (+.f64 1 eps)))))
2.0ms	x	@	0	(-.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2)) (/.f64 (-.f64 (/.f64 1/2 eps) 1/2) (exp.f64 (*.f64 x (+.f64 1 eps)))))
2.0ms	x	@	-inf	(-.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2)) (/.f64 (-.f64 (/.f64 1/2 eps) 1/2) (exp.f64 (*.f64 x (+.f64 1 eps)))))
1.0ms	eps	@	-inf	(-.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2)) (/.f64 (-.f64 (/.f64 1/2 eps) 1/2) (exp.f64 (*.f64 x (+.f64 1 eps)))))

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`rational_best-1`
1226×	`rational_best-4`
1226×	`rational_best-2`
1226×	`rational_best-3`
1158×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	158
1	139	158
2	223	158
3	359	158
4	734	158
5	2283	158
6	5800	158

Stop Event

1×	node limit

Counts

4 → 140

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2)) (/.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (exp.f64 (.f64 x (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (/.f64 1/2 eps) 1/2) (exp.f64 (.f64 x (+.f64 eps 1)))) (-.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2)) (/.f64 (-.f64 1 eps) (.f64 eps (exp.f64 (.f64 x (+.f64 eps 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2)) (/.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (exp.f64 (.f64 x (+.f64 eps 1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2)) (/.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (exp.f64 (.f64 x (+.f64 eps 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (exp.f64 (.f64 x (+.f64 eps 1)))) (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2)) (/.f64 (/.f64 -1/2 eps) (exp.f64 (.f64 x (+.f64 eps 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2)) (/.f64 (/.f64 -1/2 eps) (exp.f64 (.f64 x (+.f64 eps 1))))) (/.f64 1/2 (exp.f64 (.f64 x (+.f64 eps 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2)) (/.f64 (/.f64 -1/2 eps) (exp.f64 (.f64 x (+.f64 eps 1))))) (+.f64 (/.f64 1/2 (exp.f64 (.f64 x (+.f64 eps 1)))) (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (-.f64 (/.f64 1/2 eps) -1/2) 2)) (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (exp.f64 (.f64 x (+.f64 eps 1)))) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (-.f64 (/.f64 1/2 eps) -1/2) 2)) (-.f64 (/.f64 1/2 (exp.f64 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simplify444.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational_best-simplify-49`
1118×	`rational_best-simplify-46`
1020×	`rational_best-simplify-2`
882×	`rational_best-simplify-1`
800×	`rational_best-simplify-43`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	527	15838
1	1104	15186
2	1927	14888
3	3224	14088
4	4758	13630
5	7902	13578

Stop Event

1×	node limit

Counts

236 → 360

Calls

Call 1

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

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

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2))
✓	0.0b	(.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 (/.f64 -1/2 eps) -1/2))
✓	0.0b	(*.f64 x (-.f64 -1 eps))
✓	1.2b	(-.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 (/.f64 -1/2 eps) -1/2)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2)))

Compiler

Compiled 97 to 70 computations (27.8% saved)

series11.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(-.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 (/.f64 -1/2 eps) -1/2)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2)))
1.0ms	eps	@	0	(-.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 (/.f64 -1/2 eps) -1/2)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2)))
1.0ms	eps	@	inf	(-.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 (/.f64 -1/2 eps) -1/2)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2)))
1.0ms	x	@	0	(-.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 (/.f64 -1/2 eps) -1/2)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2)))
1.0ms	x	@	-inf	(-.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 (/.f64 -1/2 eps) -1/2)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2)))

rewrite517.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`rational_best-4`
1358×	`rational_best-2`
1358×	`rational_best-3`
1358×	`rational_best-1`
1340×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	158
1	130	158
2	196	158
3	265	158
4	405	158
5	745	158
6	1444	158
7	2775	158
8	4245	158
9	5733	158

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (-.f64 (/.f64 0 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 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 -1/2 (/.f64 -1/2 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 2 (+.f64 1/2 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simplify711.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1320×	`rational_best-simplify-47`
1246×	`rational_best-simplify-49`
990×	`rational_best-simplify-46`
986×	`rational_best-simplify-43`
942×	`rational_best-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	671	45161
1	1495	37935
2	3041	32965
3	4666	32119
4	6909	31921

Stop Event

1×	node limit

Counts

273 → 631

Calls

Call 1

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

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

eval1.3s (5.4%)

Compiler: Compiled 58989 to 44583 computations (24.4% saved)

prune227.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	984	7	991
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	986	7	993

Error

0.0b

Counts

993 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.0b	(/.f64 (-.f64 (+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 7)) (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 8))) (.f64 4 (.f64 4 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps)))))) (/.f64 eps eps))
▶	46.8b	(-.f64 (-.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2)))
▶	0.2b	(-.f64 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x))) (.f64 -1 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (*.f64 -1 x)) x)))))
▶	30.4b	(+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 5)) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -6))
▶	0.3b	(.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 1/2 (.f64 1/2 x)) (.f64 -1 (+.f64 1/2 (.f64 1/2 x)))))
	17.6b	1
	45.3b	0

Compiler

Compiled 376 to 304 computations (19.1% saved)

localize38.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 97 to 77 computations (20.6% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`rational_best-1`
1292×	`rational_best-2`
1288×	`rational_best-4`
1288×	`rational_best-3`
1268×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	52	15
2	79	15
3	92	15
4	102	11
5	105	11
6	112	11
7	145	11
8	267	11
9	646	11
10	2151	11
11	3967	11
12	6509	11

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (*.f64 x (/.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 2 (exp.f64 x))) (/.f64 (neg.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 -2 (exp.f64 x))) (*.f64 (/.f64 x (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (exp.f64 x)) 4) (*.f64 (/.f64 x (exp.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (exp.f64 x)) 3) (*.f64 x (/.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x (/.f64 2 (exp.f64 x)))) (+.f64 -1 (/.f64 (neg.f64 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (neg.f64 x) (exp.f64 x))) (+.f64 -1 (*.f64 x (/.f64 2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (exp.f64 x)) -4) (*.f64 (/.f64 x (exp.f64 x)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (exp.f64 x)) -3) (*.f64 (/.f64 x (exp.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 x (/.f64 2 (exp.f64 x)))) (+.f64 1 (/.f64 (neg.f64 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (neg.f64 x) (exp.f64 x))) (+.f64 1 (*.f64 x (/.f64 2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (exp.f64 x)) 5) (*.f64 (/.f64 x (exp.f64 x)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (*.f64 x (/.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (/.f64 -2 (exp.f64 x))) (*.f64 (/.f64 x (exp.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (exp.f64 x)) 4) (*.f64 (/.f64 x (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (exp.f64 x)) 3) (*.f64 x (/.f64 2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (exp.f64 x)) -4) (-.f64 (*.f64 (/.f64 x (exp.f64 x)) -4) (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (exp.f64 x)) -4) (+.f64 (*.f64 x (/.f64 -2 (exp.f64 x))) (*.f64 (/.f64 x (exp.f64 x)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (exp.f64 x)) -4) (/.f64 (*.f64 (/.f64 x (exp.f64 x)) 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (exp.f64 x)) -3) (*.f64 (/.f64 x (exp.f64 x)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 x (exp.f64 x)) 6) -1) (+.f64 (*.f64 (/.f64 x (exp.f64 x)) -4) (*.f64 (/.f64 x (exp.f64 x)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 x (exp.f64 x)) 6) -1) (/.f64 (*.f64 (/.f64 x (exp.f64 x)) 7) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (exp.f64 x)) 8) (*.f64 (/.f64 x (exp.f64 x)) 7))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (exp.f64 x)) 6) (*.f64 (/.f64 x (exp.f64 x)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x -4) (neg.f64 (exp.f64 x))) (*.f64 (/.f64 x (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (*.f64 x (/.f64 2 (exp.f64 x)))) (+.f64 1 (*.f64 x (/.f64 2 (exp.f64 x))))) (+.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) (+.f64 1 (*.f64 x (/.f64 2 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 x) (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) (exp.f64 x)))))))

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1548×	`rational_best-simplify-46`
1438×	`rational_best-simplify-49`
1152×	`rational_best-simplify-50`
964×	`rational_best-simplify-53`
946×	`rational_best-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	101	1134
1	186	708
2	326	708
3	666	708
4	2425	698
5	7110	698

Stop Event

1×	node limit

Counts

44 → 58

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(+.f64 0 (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (*.f64 x (/.f64 2 (exp.f64 x))))
(+.f64 (*.f64 x (/.f64 2 (exp.f64 x))) (/.f64 (neg.f64 x) (exp.f64 x)))
(+.f64 (.f64 x (/.f64 -2 (exp.f64 x))) (.f64 (/.f64 x (exp.f64 x)) 3))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) 4) (.f64 (/.f64 x (exp.f64 x)) -3))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) 3) (.f64 x (/.f64 -2 (exp.f64 x))))
(+.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) -1)
(+.f64 (+.f64 1 (*.f64 x (/.f64 2 (exp.f64 x)))) (+.f64 -1 (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 (+.f64 1 (/.f64 (neg.f64 x) (exp.f64 x))) (+.f64 -1 (*.f64 x (/.f64 2 (exp.f64 x)))))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (.f64 (/.f64 x (exp.f64 x)) 5))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) -3) (.f64 (/.f64 x (exp.f64 x)) 4))
(+.f64 (+.f64 -1 (*.f64 x (/.f64 2 (exp.f64 x)))) (+.f64 1 (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 (+.f64 -1 (/.f64 (neg.f64 x) (exp.f64 x))) (+.f64 1 (*.f64 x (/.f64 2 (exp.f64 x)))))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) 5) (.f64 (/.f64 x (exp.f64 x)) -4))
(-.f64 (/.f64 x (exp.f64 x)) 0)
(-.f64 0 (/.f64 (neg.f64 x) (exp.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (*.f64 x (/.f64 -2 (exp.f64 x))))
(-.f64 (*.f64 x (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(-.f64 (.f64 x (/.f64 -2 (exp.f64 x))) (.f64 (/.f64 x (exp.f64 x)) -3))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) 4) (.f64 (/.f64 x (exp.f64 x)) 3))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) 3) (.f64 x (/.f64 2 (exp.f64 x))))
(-.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) 1)
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (/.f64 x (exp.f64 x))))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (+.f64 (.f64 x (/.f64 -2 (exp.f64 x))) (*.f64 (/.f64 x (exp.f64 x)) -3)))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (/.f64 (.f64 (/.f64 x (exp.f64 x)) 5) -1))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -3) (.f64 (/.f64 x (exp.f64 x)) -4))
(-.f64 (/.f64 (.f64 (/.f64 x (exp.f64 x)) 6) -1) (+.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (*.f64 (/.f64 x (exp.f64 x)) -3)))
(-.f64 (/.f64 (.f64 (/.f64 x (exp.f64 x)) 6) -1) (/.f64 (.f64 (/.f64 x (exp.f64 x)) 7) -1))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) 8) (.f64 (/.f64 x (exp.f64 x)) 7))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) 6) (.f64 (/.f64 x (exp.f64 x)) 5))
(-.f64 (/.f64 (.f64 x -4) (neg.f64 (exp.f64 x))) (.f64 (/.f64 x (exp.f64 x)) 3))
(-.f64 (+.f64 (+.f64 1 (.f64 x (/.f64 2 (exp.f64 x)))) (+.f64 1 (.f64 x (/.f64 2 (exp.f64 x))))) (+.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) (+.f64 1 (*.f64 x (/.f64 2 (exp.f64 x))))))
(/.f64 x (exp.f64 x))
(/.f64 (neg.f64 x) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 x (exp.f64 x)) 1)
(/.f64 (/.f64 (neg.f64 x) (exp.f64 x)) -1)
(pow.f64 (/.f64 x (exp.f64 x)) 1)
(neg.f64 (/.f64 (neg.f64 x) (exp.f64 x)))

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1 (pow.f64 x 2)))
(+.f64 x (neg.f64 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) x))
(+.f64 x (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 1/2 (pow.f64 x 3))))
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(+.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 4))) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 1/2 (pow.f64 x 3))))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 4))) (.f64 1/2 (pow.f64 x 3))))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 x (.f64 -1/6 (pow.f64 x 4)))))
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/2 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 4)))))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(+.f64 0 (/.f64 x (exp.f64 x)))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (*.f64 x (/.f64 2 (exp.f64 x))))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 x (/.f64 2 (exp.f64 x))) (/.f64 (neg.f64 x) (exp.f64 x)))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(+.f64 (.f64 x (/.f64 -2 (exp.f64 x))) (.f64 (/.f64 x (exp.f64 x)) 3))
(+.f64 (.f64 x (/.f64 -2 (exp.f64 x))) (.f64 3 (/.f64 x (exp.f64 x))))
(.f64 x (+.f64 (/.f64 -2 (exp.f64 x)) (.f64 3 (exp.f64 (neg.f64 x)))))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) 4) (.f64 (/.f64 x (exp.f64 x)) -3))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) 3) (.f64 x (/.f64 -2 (exp.f64 x))))
(+.f64 (.f64 x (/.f64 -2 (exp.f64 x))) (.f64 3 (/.f64 x (exp.f64 x))))
(.f64 x (+.f64 (/.f64 -2 (exp.f64 x)) (.f64 3 (exp.f64 (neg.f64 x)))))
(+.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) -1)
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(+.f64 (+.f64 1 (*.f64 x (/.f64 2 (exp.f64 x)))) (+.f64 -1 (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(+.f64 (+.f64 1 (/.f64 (neg.f64 x) (exp.f64 x))) (+.f64 -1 (*.f64 x (/.f64 2 (exp.f64 x)))))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (.f64 (/.f64 x (exp.f64 x)) 5))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) -3) (.f64 (/.f64 x (exp.f64 x)) 4))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(+.f64 (+.f64 -1 (*.f64 x (/.f64 2 (exp.f64 x)))) (+.f64 1 (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(+.f64 (+.f64 -1 (/.f64 (neg.f64 x) (exp.f64 x))) (+.f64 1 (*.f64 x (/.f64 2 (exp.f64 x)))))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) 5) (.f64 (/.f64 x (exp.f64 x)) -4))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(-.f64 (/.f64 x (exp.f64 x)) 0)
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(-.f64 0 (/.f64 (neg.f64 x) (exp.f64 x)))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (*.f64 x (/.f64 -2 (exp.f64 x))))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(-.f64 (*.f64 x (/.f64 2 (exp.f64 x))) (/.f64 x (exp.f64 x)))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(-.f64 (.f64 x (/.f64 -2 (exp.f64 x))) (.f64 (/.f64 x (exp.f64 x)) -3))
(.f64 x (-.f64 (/.f64 -2 (exp.f64 x)) (.f64 -3 (exp.f64 (neg.f64 x)))))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) 4) (.f64 (/.f64 x (exp.f64 x)) 3))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) 3) (.f64 x (/.f64 2 (exp.f64 x))))
(-.f64 (.f64 3 (/.f64 x (exp.f64 x))) (.f64 x (/.f64 2 (exp.f64 x))))
(.f64 x (-.f64 (.f64 3 (exp.f64 (neg.f64 x))) (/.f64 2 (exp.f64 x))))
(-.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) 1)
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (/.f64 x (exp.f64 x))))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (+.f64 (.f64 x (/.f64 -2 (exp.f64 x))) (*.f64 (/.f64 x (exp.f64 x)) -3)))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (.f64 x (+.f64 (/.f64 -2 (exp.f64 x)) (*.f64 -3 (exp.f64 (neg.f64 x))))))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (/.f64 (.f64 (/.f64 x (exp.f64 x)) 5) -1))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -3) (.f64 (/.f64 x (exp.f64 x)) -4))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(-.f64 (/.f64 (.f64 (/.f64 x (exp.f64 x)) 6) -1) (+.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (*.f64 (/.f64 x (exp.f64 x)) -3)))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(-.f64 (/.f64 (.f64 (/.f64 x (exp.f64 x)) 6) -1) (/.f64 (.f64 (/.f64 x (exp.f64 x)) 7) -1))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) 8) (.f64 (/.f64 x (exp.f64 x)) 7))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) 6) (.f64 (/.f64 x (exp.f64 x)) 5))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(-.f64 (/.f64 (.f64 x -4) (neg.f64 (exp.f64 x))) (.f64 (/.f64 x (exp.f64 x)) 3))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(-.f64 (+.f64 (+.f64 1 (.f64 x (/.f64 2 (exp.f64 x)))) (+.f64 1 (.f64 x (/.f64 2 (exp.f64 x))))) (+.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) (+.f64 1 (*.f64 x (/.f64 2 (exp.f64 x))))))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(/.f64 x (exp.f64 x))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 (neg.f64 x) (neg.f64 (exp.f64 x)))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(/.f64 (/.f64 x (exp.f64 x)) 1)
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(/.f64 (/.f64 (neg.f64 x) (exp.f64 x)) -1)
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(pow.f64 (/.f64 x (exp.f64 x)) 1)
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))
(neg.f64 (/.f64 (neg.f64 x) (exp.f64 x)))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(/.f64 x (exp.f64 x))

localize25.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 55 to 41 computations (25.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

0.0ms

-inf

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

0.0ms

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

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`rational_best-1`
1626×	`rational_best-2`
1626×	`rational_best-3`
926×	`rational_best-4`
922×	`exponential-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	89	49
2	143	29
3	215	29
4	387	17
5	792	17
6	2171	17
7	4894	17
8	7294	17

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x 1) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) (*.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1/2 (*.f64 x 1/2)) (exp.f64 x)) (/.f64 (+.f64 1/2 (*.f64 x 1/2)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1/2 (*.f64 x 1/2)) (neg.f64 (exp.f64 x))) (/.f64 (+.f64 1/2 (+.f64 1 (*.f64 x 3/2))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x 1) (/.f64 -2 (exp.f64 x))) (/.f64 (*.f64 (+.f64 x 1) 3) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) -2) (/.f64 (-.f64 -1 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1/2 (+.f64 1 (*.f64 x 3/2))) (exp.f64 x)) (/.f64 (+.f64 1/2 (*.f64 x 1/2)) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/2)) -3) (exp.f64 x)) (/.f64 (+.f64 (+.f64 1/2 (*.f64 x 1/2)) (*.f64 (+.f64 x 1) 2)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (+.f64 1/2 (*.f64 x 1/2)) (*.f64 (+.f64 x 1) 2)) (exp.f64 x)) (/.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/2)) -3) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 x 1) 3) (exp.f64 x)) (*.f64 (+.f64 x 1) (/.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 -1 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) (*.f64 (+.f64 x 1) (/.f64 -2 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1/2 (*.f64 x 1/2)) (exp.f64 x)) (/.f64 (+.f64 1/2 (*.f64 x 1/2)) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1/2 (*.f64 x 1/2)) (neg.f64 (exp.f64 x))) (/.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/2)) -3) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x 1) (/.f64 -2 (exp.f64 x))) (/.f64 (*.f64 (+.f64 x 1) 3) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 x 1) (/.f64 -2 (exp.f64 x))) (+.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) (*.f64 (+.f64 x 1) (/.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) -2) (/.f64 (+.f64 x 1) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1/2 (+.f64 1 (*.f64 x 3/2))) (exp.f64 x)) (/.f64 (+.f64 1/2 (*.f64 x 1/2)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 x 1/2)) -3) (exp.f64 x)) (/.f64 (-.f64 (-.f64 -1 x) (+.f64 1/2 (+.f64 1 (*.f64 x 3/2)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x (+.f64 x 1)) (exp.f64 x)) (/.f64 (+.f64 (+.f64 x 1/2) (+.f64 (*.f64 x 1/2) (neg.f64 (+.f64 1/2 (*.f64 x 1/2))))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 2 (+.f64 (*.f64 x 1/2) 1)) (exp.f64 x)) (/.f64 (+.f64 (+.f64 (*.f64 x 1/2) 1) (+.f64 1/2 (neg.f64 (+.f64 1/2 (*.f64 x 1/2))))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (exp.f64 x)) (/.f64 -1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 x 1) 4) (exp.f64 x)) (/.f64 (*.f64 (+.f64 x 1) 3) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 2 (+.f64 1/2 (neg.f64 (+.f64 1/2 (*.f64 x 1/2))))) (neg.f64 (exp.f64 x))) (/.f64 (+.f64 (+.f64 (*.f64 x 1/2) 1) (+.f64 1/2 (neg.f64 (+.f64 1/2 (*.f64 x 1/2))))) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 2 (+.f64 (*.f64 x 1/2) (neg.f64 (+.f64 1/2 (*.f64 x 1/2))))) (neg.f64 (exp.f64 x))) (/.f64 (+.f64 (+.f64 x 1/2) (+.f64 (*.f64 x 1/2) (neg.f64 (+.f64 1/2 (*.f64 x 1/2))))) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) -2) 2) (+.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) (*.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (+.f64 1/2 (+.f64 1 (*.f64 x 3/2))) (exp.f64 x)) (/.f64 (+.f64 1/2 (+.f64 1 (*.f64 x 3/2))) (exp.f64 x))) (*.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 x) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -1 x) (exp.f64 x)))))))

simplify128.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1338×	`rational_best-simplify-2`
1220×	`rational_best-simplify-1`
786×	`rational_best-simplify-45`
702×	`rational_best-simplify-55`
680×	`rational_best-simplify-44`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	125	1847
1	244	1835
2	383	1827
3	629	1827
4	1063	1477
5	2671	1465
6	5505	1437
7	7748	1437

Stop Event

1×	node limit

Counts

47 → 95

Calls

Call 1

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

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

localize128.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (*.f64 x (+.f64 eps -1)))
✓	0.0b	(*.f64 x (+.f64 eps -1))
	0.0b	(.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2))
✓	3.1b	(-.f64 (-.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2)))

Compiler

Compiled 77 to 58 computations (24.7% saved)

series30.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite123.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1908×	`rational_best-2`
1908×	`rational_best-1`
1130×	`rational_best-4`
1130×	`rational_best-3`
1130×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	89
1	120	89
2	166	89
3	222	89
4	342	89
5	625	89
6	1211	89
7	2574	89
8	4820	89
9	7257	89

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

Outputs

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simplify390.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2304×	`rational_best-simplify-1`
1148×	`rational_best-simplify-51`
1068×	`rational_best-simplify-2`
1064×	`rational_best-simplify-49`
1034×	`rational_best-simplify-46`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	488	18585
1	1095	17765
2	2261	16991
3	2923	16467
4	3667	16381
5	4355	16147
6	5512	16123
7	6393	15915

Stop Event

1×	node limit

Counts

217 → 441

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1/2 (exp.f64 (*.f64 -1 x)))) eps))
(-.f64 (+.f64 1/2 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1/2 (exp.f64 (.f64 -1 x)))) eps))) (.f64 -1 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (*.f64 -1 x)) x)))))
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(-.f64 1/2 (.f64 -1/2 (exp.f64 (.f64 (-.f64 eps 1) x))))
(-.f64 (+.f64 1/2 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1/2 (exp.f64 (.f64 (-.f64 eps 1) x)))) eps))) (.f64 -1/2 (exp.f64 (*.f64 (-.f64 eps 1) x))))
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(-.f64 1/2 (.f64 -1/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))))
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(*.f64 -1 x)
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1
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(+.f64 (+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (+.f64 (/.f64 -1 eps) 3/2)) (+.f64 1/2 (.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) 3))) (-.f64 0 (+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (+.f64 (/.f64 -1 eps) 3/2)) (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (+.f64 (/.f64 -1 eps) 3/2)))))
(+.f64 (+.f64 (+.f64 1 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 1/2 (/.f64 -1 eps)))) (+.f64 (/.f64 -1 eps) 3/2)) (-.f64 0 (+.f64 (+.f64 1 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 1/2 (/.f64 -1 eps)))) (+.f64 1 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (*.f64 1/2 (/.f64 -1 eps)))))))
(+.f64 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (+.f64 1 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 1/2 (/.f64 1/2 eps))))) (-.f64 0 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (+.f64 1/2 (*.f64 1/2 (/.f64 1 eps))))))
(+.f64 (+.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2)))) (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (+.f64 1 (/.f64 -1 eps)))) (-.f64 0 (+.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2)))) (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2)))))))
(+.f64 (+.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps)))))) (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (+.f64 (/.f64 -1 eps) 3/2))) (-.f64 0 (+.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps)))))) (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps)))))))))
(+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 3)) (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2))))) (-.f64 0 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 3)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 3)))))
(+.f64 (+.f64 (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2))) (+.f64 1 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 1/2 (/.f64 -1 eps))))) (-.f64 0 (+.f64 (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2))) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2))))))
(+.f64 (+.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2))) (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (+.f64 1/2 (/.f64 -1 eps)))) (-.f64 0 (+.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2))) (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2))))))
(+.f64 (+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2)))) (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))))))) (-.f64 0 (+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2)))) (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2)))))))
(+.f64 (+.f64 (neg.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2)))) (+.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) -1/2) (.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) -3))) (-.f64 0 (.f64 (neg.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2)))) 2)))
(+.f64 (+.f64 (.f64 (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 1/2 (/.f64 1/2 eps)))) -2) (+.f64 -1/2 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 1/2 (/.f64 -1 eps))))) (-.f64 0 (.f64 (.f64 (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 1/2 (/.f64 1/2 eps)))) -2) 2)))
(+.f64 (+.f64 (+.f64 -1/2 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 1/2 (/.f64 -1 eps)))) (/.f64 -1 eps)) (-.f64 0 (.f64 (+.f64 -1/2 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (*.f64 1/2 (/.f64 -1 eps)))) 2)))
(+.f64 (+.f64 (+.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) -1/2) (.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) -3)) (.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) -4)) (-.f64 0 (.f64 (+.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) -1/2) (.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) -3)) 2)))
(+.f64 (+.f64 (.f64 2 (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))))) (+.f64 1 (+.f64 1/2 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 1/2 (/.f64 -1 eps)))))) (-.f64 0 (+.f64 (.f64 2 (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))))) (.f64 2 (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))))))))
(+.f64 (+.f64 (+.f64 1 (+.f64 1/2 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 1/2 (/.f64 -1 eps))))) (+.f64 1 (+.f64 1 (/.f64 -1 eps)))) (-.f64 0 (+.f64 (+.f64 1 (+.f64 1/2 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 1/2 (/.f64 -1 eps))))) (+.f64 1 (+.f64 1/2 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (*.f64 1/2 (/.f64 -1 eps))))))))
(+.f64 (+.f64 (.f64 2 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) 3))) (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) 7))) (-.f64 0 (+.f64 (.f64 2 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) 3))) (.f64 2 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 -1 eps))) 3))))))
(+.f64 (+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) 7)) (.f64 (+.f64 1 (/.f64 -1 eps)) 4)) (-.f64 0 (+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) 7)) (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 -1 eps))) 7)))))
(.f64 1 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 1/2 (/.f64 1/2 eps)))))
(.f64 -1 (+.f64 (.f64 1/2 (/.f64 1 eps)) (-.f64 -1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 1/2 (/.f64 1/2 eps))))))
(.f64 -1 (-.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (+.f64 (.f64 (+.f64 1 (/.f64 -1 eps)) 2) (.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) -3))))
(.f64 -1 (-.f64 (+.f64 1/2 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 1/2 (/.f64 -1 eps)))) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) 2) (+.f64 (/.f64 1 eps) -1))))
(.f64 -1 (-.f64 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 1/2 (/.f64 1/2 eps))) (.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) -3)) (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (+.f64 (/.f64 1 eps) -1))))
(.f64 -1 (-.f64 (+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (+.f64 (/.f64 1 eps) -1)) (+.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) -1/2) (.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 -1/2 (/.f64 -1/2 eps))) -3))))
(.f64 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 1/2 (/.f64 1/2 eps)))) 1)
(.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) (-.f64 -1/2 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (+.f64 1/2 (/.f64 1/2 eps))))) -1)
(/.f64 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (+.f64 1/2 (/.f64 1/2 eps)))) 1)
(/.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) (-.f64 -1/2 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (+.f64 1/2 (/.f64 1/2 eps))))) -1)
(pow.f64 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (+.f64 1/2 (/.f64 1/2 eps)))) 1)
(neg.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) (-.f64 -1/2 (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (+.f64 1/2 (/.f64 1/2 eps))))))
(+.f64 (*.f64 x (+.f64 eps -1)) 0)
(+.f64 0 (*.f64 x (+.f64 eps -1)))
(-.f64 (*.f64 x (+.f64 eps -1)) 0)
(/.f64 (*.f64 x (+.f64 eps -1)) 1)
(pow.f64 (*.f64 x (+.f64 eps -1)) 1)
(+.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 0)
(+.f64 0 (exp.f64 (*.f64 x (+.f64 eps -1))))
(+.f64 (neg.f64 (exp.f64 (.f64 x (+.f64 eps -1)))) (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 2))
(+.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 2) (neg.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))))
(-.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 0)
(-.f64 0 (neg.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))))
(.f64 1 (exp.f64 (.f64 x (+.f64 eps -1))))
(.f64 -1 (neg.f64 (exp.f64 (.f64 x (+.f64 eps -1)))))
(.f64 (exp.f64 (.f64 x (+.f64 eps -1))) 1)
(.f64 (neg.f64 (exp.f64 (.f64 x (+.f64 eps -1)))) -1)
(/.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1)
(/.f64 (neg.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))) -1)
(pow.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) 1)
(neg.f64 (neg.f64 (exp.f64 (*.f64 x (+.f64 eps -1)))))

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

localize70.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (exp.f64 (*.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -6)
✓	0.2b	(+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (*.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 5))
✓	0.2b	(.f64 (.f64 (exp.f64 (*.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 5)
✓	19.8b	(+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 5)) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -6))

Compiler

Compiled 174 to 131 computations (24.7% saved)

series10.0ms (0%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 5)) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -6))
1.0ms	x	@	0	(+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 5)) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -6))
1.0ms	eps	@	-inf	(+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 5)) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -6))
1.0ms	x	@	-inf	(+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 5)) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -6))
1.0ms	eps	@	inf	(+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 5)) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -6))

rewrite123.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1556×	`rational_best-simplify-2`
1404×	`rational_best-1`
1366×	`rational_best-4`
1366×	`rational_best-2`
1366×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	290
1	169	290
2	240	244
3	324	242
4	379	242
5	437	242
6	504	242
7	614	242
8	704	242
9	787	242
10	854	242
11	950	242
12	1179	242
13	1781	242
14	2917	242
15	5536	242

Stop Event

1×	node limit

Counts

4 → 39

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 5)) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -6))
(.f64 (.f64 (exp.f64 (*.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 5)
(+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (*.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 5))
(.f64 (.f64 (exp.f64 (*.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -6)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (exp.f64 (.f64 x (-.f64 eps -1)))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.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 (/.f64 1/2 eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.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 (/.f64 1/2 eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (exp.f64 (.f64 x (-.f64 eps -1)))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (exp.f64 (.f64 x (-.f64 eps -1)))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.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 (/.f64 1/2 eps) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (exp.f64 (.f64 x (-.f64 eps -1)))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 (/.f64 1/2 eps) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (exp.f64 (.f64 x (-.f64 eps -1)))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.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 (/.f64 1/2 eps) -1/2))))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (exp.f64 (.f64 x (-.f64 eps -1)))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (exp.f64 (.f64 x (-.f64 eps -1)))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (exp.f64 (.f64 x (-.f64 eps -1)))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (exp.f64 (.f64 x (-.f64 eps -1)))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 eps)) (exp.f64 (.f64 x (-.f64 eps -1)))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5))) 1)))))
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simplify252.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1748×	`rational_best-simplify-51`
1214×	`rational_best-simplify-2`
1076×	`rational_best-simplify-43`
970×	`rational_best-simplify-47`
928×	`rational_best-simplify-49`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	362	14295
1	831	12695
2	1471	11415
3	2608	11143
4	3351	10737
5	4782	10363
6	7399	10273

Stop Event

1×	node limit

Counts

135 → 297

Calls

Call 1

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

localize128.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 x (-.f64 -1 eps))
✓	0.1b	(+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (*.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 7))
✓	0.1b	(.f64 (.f64 (exp.f64 (*.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 7)
✓	2.0b	(-.f64 (+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 7)) (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 8))) (.f64 4 (.f64 4 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))))))

Compiler

Compiled 337 to 258 computations (23.4% saved)

series19.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	(-.f64 (+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 7)) (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 8))) (.f64 4 (.f64 4 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))))))
4.0ms	x	@	0	(+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (*.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 7))
2.0ms	eps	@	0	(-.f64 (+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 7)) (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 8))) (.f64 4 (.f64 4 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))))))
1.0ms	x	@	0	(-.f64 (+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 7)) (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 8))) (.f64 4 (.f64 4 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))))))
1.0ms	x	@	-inf	(-.f64 (+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 7)) (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 8))) (.f64 4 (.f64 4 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))))))

rewrite194.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1894×	`rational_best-1`
1376×	`rational_best-4`
1376×	`rational_best-2`
1376×	`rational_best-3`
1348×	`exponential-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	301
1	206	295
2	310	249
3	461	249
4	728	249
5	1362	201
6	2509	201
7	4306	201
8	5981	201
9	7863	201

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

Inputs

(-.f64 (+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 7)) (*.f64 (exp.f64 (*.f64 (+.f64 eps -1) x)) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 8))) (*.f64 4 (*.f64 4 (*.f64 (exp.f64 (*.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))))))

(*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 7)

(+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 7))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (+.f64 1/2 (/.f64 -1/2 eps))) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 7)) (+.f64 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 8))) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 7))) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 8)) (+.f64 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 7))) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 15))) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (+.f64 1/2 (/.f64 -1/2 eps))) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (+.f64 1/2 (/.f64 -1/2 eps))) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 8))) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 15)) (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (*.f64 (+.f64 1/2 (/.f64 -1/2 eps)) 2)) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 30))) (neg.f64 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 31)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 31))) (*.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -16)) (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 15))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 15)))) (*.f64 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 7))) 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simplify794.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2418×	`rational_best-simplify-1`
2138×	`rational_best-simplify-2`
1426×	`rational_best-simplify-51`
1182×	`rational_best-simplify-47`
1002×	`rational_best-simplify-43`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	719	42774
1	1652	40070
2	3128	37062
3	3921	34908
4	4684	34884
5	5376	34552
6	5790	34390
7	6022	34378
8	6947	34288
9	7794	34288

Stop Event

1×	node limit

Counts

218 → 480

Calls

Call 1

Inputs
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(-.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 7)) 0)
(/.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 7)) 1)
(pow.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 7)) 1)
(-.f64 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 7))) 0)
(.f64 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 7))) 1)
(.f64 1 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 7))))
(/.f64 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 7))) 1)
(pow.f64 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 7))) 1)

Outputs
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(neg.f64 (neg.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (+.f64 1/2 (/.f64 -1/2 eps))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))))
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(-.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 7)) 0)
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(.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 7))
(-.f64 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 7))) 0)
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(.f64 1 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 7))))
(+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (+.f64 1/2 (/.f64 -1/2 eps))) (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 7)))
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(pow.f64 (+.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 (+.f64 -1/2 (/.f64 -1/2 eps)) 7))) 1)
(+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (+.f64 1/2 (/.f64 -1/2 eps))) (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 7)))

eval2.9s (12%)

Compiler: Compiled 92679 to 71777 computations (22.6% saved)

prune653.0ms (2.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	1502	7	1509
Fresh	0	2	2
Picked	1	0	1
Done	4	0	4
Total	1507	9	1516

Error

0.0b

Counts

1516 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(/.f64 (-.f64 (+.f64 (.f64 -4 (exp.f64 (.f64 (+.f64 eps -1) x))) (+.f64 (.f64 1/2 (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))) (.f64 -7/2 (exp.f64 (.f64 (+.f64 eps -1) x))))) (.f64 -8 (exp.f64 (.f64 (+.f64 eps -1) x)))) (/.f64 eps eps))
▶	0.2b	(/.f64 (+.f64 x 1) (exp.f64 x))
▶	0.2b	(-.f64 (/.f64 x (exp.f64 x)) (/.f64 -1 (exp.f64 x)))
▶	47.3b	(-.f64 (-.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (-.f64 (/.f64 -1/2 eps) 1/2)))
▶	18.0b	(-.f64 1/2 (.f64 -1/2 (exp.f64 (.f64 (-.f64 eps 1) x))))
	47.4b	(+.f64 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5))) (.f64 (neg.f64 (exp.f64 (.f64 x (+.f64 -1 eps)))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6)))
▶	46.8b	(+.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.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)) -3)))
	17.6b	1
	45.3b	0

Compiler

Compiled 356 to 284 computations (20.2% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 10 computations (56.5% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1192×	`rational_best-1`
1176×	`rational_best-2`
1168×	`rational_best-4`
1168×	`rational_best-3`
1144×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	50	22
2	80	22
3	102	22
4	141	22
5	238	22
6	558	22
7	1939	22
8	4170	22
9	6506	22

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 x)) (/.f64 -2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (neg.f64 x)) (/.f64 2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -2 (exp.f64 x)) (/.f64 -1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (exp.f64 (neg.f64 x)) 4) (+.f64 (/.f64 2 (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (exp.f64 (neg.f64 x)) 3) (*.f64 (exp.f64 (neg.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (/.f64 -2 (exp.f64 x))) (*.f64 (/.f64 -1 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (/.f64 -2 (exp.f64 x))) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) 3) (*.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) 4) (*.f64 (exp.f64 (neg.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (exp.f64 (neg.f64 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (exp.f64 x)) 2) (/.f64 (neg.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (exp.f64 x)) -2) (/.f64 (*.f64 x 3) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 3) (exp.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 4) (exp.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (/.f64 x (exp.f64 x)) 2)) (+.f64 -1 (/.f64 (neg.f64 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (exp.f64 x)) -3) (/.f64 (*.f64 x 4) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (neg.f64 x) (exp.f64 x))) (+.f64 -1 (*.f64 (/.f64 x (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (exp.f64 x)) -4) (*.f64 (/.f64 x (exp.f64 x)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 (/.f64 x (exp.f64 x)) 2)) (+.f64 1 (/.f64 (neg.f64 x) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (neg.f64 x) (exp.f64 x))) (+.f64 1 (*.f64 (/.f64 x (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (exp.f64 x)) 5) (*.f64 (/.f64 x (exp.f64 x)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (exp.f64 x)) 2) (/.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (exp.f64 x)) -2) (*.f64 (/.f64 x (exp.f64 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 3) (exp.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x 4) (exp.f64 x)) (/.f64 (*.f64 x 3) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (exp.f64 x)) -3) (*.f64 (/.f64 x (exp.f64 x)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (exp.f64 x)) -4) (-.f64 (*.f64 (/.f64 x (exp.f64 x)) -4) (/.f64 x (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (exp.f64 x)) -4) (+.f64 (*.f64 (/.f64 x (exp.f64 x)) -2) (*.f64 (/.f64 x (exp.f64 x)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (exp.f64 x)) -4) (/.f64 (*.f64 (/.f64 x (exp.f64 x)) 5) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 x (exp.f64 x)) 6) -1) (/.f64 (*.f64 (/.f64 x (exp.f64 x)) 7) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (/.f64 x (exp.f64 x)) 6) -1) (+.f64 (*.f64 (/.f64 x (exp.f64 x)) -3) (*.f64 (/.f64 x (exp.f64 x)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (exp.f64 x)) 8) (*.f64 (/.f64 x (exp.f64 x)) 7))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 x (exp.f64 x)) 6) (*.f64 (/.f64 x (exp.f64 x)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (*.f64 (/.f64 x (exp.f64 x)) 2)) (+.f64 1 (*.f64 (/.f64 x (exp.f64 x)) 2))) (+.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) (+.f64 1 (*.f64 (/.f64 x (exp.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (/.f64 -2 (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (/.f64 -2 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 (exp.f64 (neg.f64 x)) 4) (-.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 (exp.f64 (neg.f64 x)) 4) (*.f64 (/.f64 -1 (exp.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x -2) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x -2) (-.f64 x (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x 4) (-.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 x 4) (*.f64 (neg.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 -1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 (/.f64 2 (exp.f64 x)) (*.f64 (/.f64 -1 (exp.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) 3) (*.f64 2 (/.f64 -2 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (exp.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (+.f64 x x) (-.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (+.f64 x x) (*.f64 (neg.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (*.f64 x 3) (*.f64 2 (*.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2 (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x -2) (*.f64 x 3)) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 -2 (exp.f64 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x -2) (-.f64 x (*.f64 x -2))) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (exp.f64 x)) (*.f64 (/.f64 -1 (exp.f64 x)) 3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (-.f64 x (*.f64 x 4))) (/.f64 -1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 (neg.f64 x) 3)) (/.f64 -1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) 3) (*.f64 2 (/.f64 -2 (exp.f64 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 3) (*.f64 2 (*.f64 x -2))) (/.f64 -1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) 4) (-.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) 4) (*.f64 (/.f64 -1 (exp.f64 x)) 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 4) (-.f64 x (*.f64 x 4))) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 4) (*.f64 (neg.f64 x) 3)) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 x) (exp.f64 x)))))))

simplify322.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1170×	`rational_best-simplify-46`
1130×	`rational_best-simplify-2`
1106×	`rational_best-simplify-43`
1096×	`rational_best-simplify-49`
992×	`rational_best-simplify-50`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	193	2461
1	312	1751
2	582	1751
3	1547	1751
4	5483	1751
5	6948	1727
6	7263	1719
7	7552	1719

Stop Event

1×	node limit

Counts

99 → 140

Calls

Call 1

Inputs
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x)) 1)
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(+.f64 0 (/.f64 -1 (exp.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 -2 (exp.f64 x)))
(+.f64 (/.f64 -1 (exp.f64 x)) 0)
(+.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))
(-.f64 0 (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 2 (exp.f64 x)))
(-.f64 (/.f64 -1 (exp.f64 x)) 0)
(-.f64 (/.f64 2 (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (/.f64 -2 (exp.f64 x)) (/.f64 -1 (exp.f64 x)))
(-.f64 (.f64 (exp.f64 (neg.f64 x)) 4) (+.f64 (/.f64 2 (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) 3)))
(-.f64 (.f64 (exp.f64 (neg.f64 x)) 3) (.f64 (exp.f64 (neg.f64 x)) 4))
(-.f64 (.f64 2 (/.f64 -2 (exp.f64 x))) (.f64 (/.f64 -1 (exp.f64 x)) 3))
(-.f64 (.f64 2 (/.f64 -2 (exp.f64 x))) (/.f64 (.f64 (exp.f64 (neg.f64 x)) 3) -1))
(-.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) 3) (.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) 4) (.f64 (exp.f64 (neg.f64 x)) 3)))
(*.f64 -1 (exp.f64 (neg.f64 x)))
(*.f64 1 (/.f64 -1 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) -1)
(*.f64 (/.f64 -1 (exp.f64 x)) 1)
(pow.f64 (/.f64 -1 (exp.f64 x)) 1)
(neg.f64 (exp.f64 (neg.f64 x)))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(+.f64 0 (/.f64 x (exp.f64 x)))
(+.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) 2))
(+.f64 (*.f64 (/.f64 x (exp.f64 x)) 2) (/.f64 (neg.f64 x) (exp.f64 x)))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) -2) (/.f64 (.f64 x 3) (exp.f64 x)))
(+.f64 (/.f64 (.f64 x 3) (exp.f64 x)) (.f64 (/.f64 x (exp.f64 x)) -2))
(+.f64 (/.f64 (.f64 x 4) (exp.f64 x)) (.f64 (/.f64 x (exp.f64 x)) -3))
(+.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) -1)
(+.f64 (+.f64 1 (*.f64 (/.f64 x (exp.f64 x)) 2)) (+.f64 -1 (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) -3) (/.f64 (.f64 x 4) (exp.f64 x)))
(+.f64 (+.f64 1 (/.f64 (neg.f64 x) (exp.f64 x))) (+.f64 -1 (*.f64 (/.f64 x (exp.f64 x)) 2)))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (.f64 (/.f64 x (exp.f64 x)) 5))
(+.f64 (+.f64 -1 (*.f64 (/.f64 x (exp.f64 x)) 2)) (+.f64 1 (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 (+.f64 -1 (/.f64 (neg.f64 x) (exp.f64 x))) (+.f64 1 (*.f64 (/.f64 x (exp.f64 x)) 2)))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) 5) (.f64 (/.f64 x (exp.f64 x)) -4))
(-.f64 (/.f64 x (exp.f64 x)) 0)
(-.f64 0 (/.f64 (neg.f64 x) (exp.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) -2))
(-.f64 (*.f64 (/.f64 x (exp.f64 x)) 2) (/.f64 x (exp.f64 x)))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -2) (.f64 (/.f64 x (exp.f64 x)) -3))
(-.f64 (/.f64 (.f64 x 3) (exp.f64 x)) (.f64 (/.f64 x (exp.f64 x)) 2))
(-.f64 (/.f64 (.f64 x 4) (exp.f64 x)) (/.f64 (.f64 x 3) (exp.f64 x)))
(-.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) 1)
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -3) (.f64 (/.f64 x (exp.f64 x)) -4))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (/.f64 x (exp.f64 x))))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (+.f64 (.f64 (/.f64 x (exp.f64 x)) -2) (*.f64 (/.f64 x (exp.f64 x)) -3)))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (/.f64 (.f64 (/.f64 x (exp.f64 x)) 5) -1))
(-.f64 (/.f64 (.f64 (/.f64 x (exp.f64 x)) 6) -1) (/.f64 (.f64 (/.f64 x (exp.f64 x)) 7) -1))
(-.f64 (/.f64 (.f64 (/.f64 x (exp.f64 x)) 6) -1) (+.f64 (.f64 (/.f64 x (exp.f64 x)) -3) (*.f64 (/.f64 x (exp.f64 x)) -4)))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) 8) (.f64 (/.f64 x (exp.f64 x)) 7))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) 6) (.f64 (/.f64 x (exp.f64 x)) 5))
(-.f64 (+.f64 (+.f64 1 (.f64 (/.f64 x (exp.f64 x)) 2)) (+.f64 1 (.f64 (/.f64 x (exp.f64 x)) 2))) (+.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) (+.f64 1 (*.f64 (/.f64 x (exp.f64 x)) 2))))
(*.f64 -1 (/.f64 (neg.f64 x) (exp.f64 x)))
(*.f64 x (exp.f64 (neg.f64 x)))
(.f64 x (+.f64 (/.f64 -2 (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) 3)))
(*.f64 x (+.f64 (/.f64 -2 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 -2 (exp.f64 x)))))
(.f64 x (+.f64 (.f64 (exp.f64 (neg.f64 x)) 4) (-.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))))
(.f64 x (+.f64 (.f64 (exp.f64 (neg.f64 x)) 4) (*.f64 (/.f64 -1 (exp.f64 x)) 3)))
(*.f64 (/.f64 x (exp.f64 x)) 1)
(*.f64 1 (/.f64 x (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) x)
(.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x -2) (*.f64 x 3)))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x -2) (-.f64 x (*.f64 x -2))))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x 4) (-.f64 x (*.f64 x 4))))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x 4) (*.f64 (neg.f64 x) 3)))
(*.f64 (neg.f64 x) (/.f64 -1 (exp.f64 x)))
(*.f64 (neg.f64 x) (+.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))))
(.f64 (neg.f64 x) (+.f64 (/.f64 2 (exp.f64 x)) (.f64 (/.f64 -1 (exp.f64 x)) 3)))
(.f64 (neg.f64 x) (+.f64 (.f64 (exp.f64 (neg.f64 x)) 3) (*.f64 2 (/.f64 -2 (exp.f64 x)))))
(*.f64 (/.f64 (neg.f64 x) (exp.f64 x)) -1)
(*.f64 (/.f64 -1 (exp.f64 x)) (neg.f64 x))
(.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (+.f64 x x) (-.f64 x (.f64 x 4))))
(.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (+.f64 x x) (.f64 (neg.f64 x) 3)))
(.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (.f64 x 3) (.f64 2 (.f64 x -2))))
(.f64 (+.f64 (/.f64 -2 (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) 3)) x)
(.f64 (+.f64 (.f64 x -2) (*.f64 x 3)) (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 (/.f64 -2 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 -2 (exp.f64 x)))) x)
(.f64 (+.f64 (.f64 x -2) (-.f64 x (*.f64 x -2))) (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (neg.f64 x))
(.f64 (+.f64 (/.f64 2 (exp.f64 x)) (.f64 (/.f64 -1 (exp.f64 x)) 3)) (neg.f64 x))
(.f64 (+.f64 (+.f64 x x) (-.f64 x (.f64 x 4))) (/.f64 -1 (exp.f64 x)))
(.f64 (+.f64 (+.f64 x x) (.f64 (neg.f64 x) 3)) (/.f64 -1 (exp.f64 x)))
(.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) 3) (*.f64 2 (/.f64 -2 (exp.f64 x)))) (neg.f64 x))
(.f64 (+.f64 (.f64 x 3) (.f64 2 (.f64 x -2))) (/.f64 -1 (exp.f64 x)))
(.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) 4) (-.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) x)
(.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) 4) (*.f64 (/.f64 -1 (exp.f64 x)) 3)) x)
(.f64 (+.f64 (.f64 x 4) (-.f64 x (*.f64 x 4))) (exp.f64 (neg.f64 x)))
(.f64 (+.f64 (.f64 x 4) (*.f64 (neg.f64 x) 3)) (exp.f64 (neg.f64 x)))
(pow.f64 (/.f64 x (exp.f64 x)) 1)
(neg.f64 (/.f64 (neg.f64 x) (exp.f64 x)))

Outputs
-1
(-.f64 x 1)
(+.f64 x -1)
(+.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 1)
(+.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) -1)
(+.f64 -1 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x)) 1)
(+.f64 (+.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) (.f64 1/6 (pow.f64 x 3))) -1)
(+.f64 -1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))
(+.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) (+.f64 (.f64 1/6 (pow.f64 x 3)) -1))
(+.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) (+.f64 -1 (.f64 1/6 (pow.f64 x 3))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1 (pow.f64 x 2)))
(+.f64 x (neg.f64 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) x))
(+.f64 x (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 (pow.f64 x 3) 1/2)))
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 1/2)))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 x (*.f64 (pow.f64 x 3) 1/2)))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 4)) x)))
(+.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 4))) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 1/2)))
(+.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 4))) (+.f64 (neg.f64 (pow.f64 x 2)) (.f64 (pow.f64 x 3) 1/2)))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 4)) (+.f64 (neg.f64 (pow.f64 x 2)) (.f64 (pow.f64 x 3) 1/2))))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 3) 1/2) (+.f64 x (.f64 -1/6 (pow.f64 x 4)))))
(+.f64 0 (/.f64 -1 (exp.f64 x)))
(/.f64 -1 (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (/.f64 -2 (exp.f64 x)))
(/.f64 -1 (exp.f64 x))
(+.f64 (/.f64 -1 (exp.f64 x)) 0)
(/.f64 -1 (exp.f64 x))
(+.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 -1 (exp.f64 x))
(-.f64 0 (exp.f64 (neg.f64 x)))
(/.f64 -1 (exp.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) (/.f64 2 (exp.f64 x)))
(/.f64 -1 (exp.f64 x))
(-.f64 (/.f64 -1 (exp.f64 x)) 0)
(/.f64 -1 (exp.f64 x))
(-.f64 (/.f64 2 (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (/.f64 2 (exp.f64 x)) (*.f64 3 (exp.f64 (neg.f64 x))))
(-.f64 (/.f64 -2 (exp.f64 x)) (/.f64 -1 (exp.f64 x)))
(/.f64 -1 (exp.f64 x))
(-.f64 (.f64 (exp.f64 (neg.f64 x)) 4) (+.f64 (/.f64 2 (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) 3)))
(-.f64 (.f64 4 (exp.f64 (neg.f64 x))) (+.f64 (/.f64 2 (exp.f64 x)) (.f64 3 (exp.f64 (neg.f64 x)))))
(-.f64 (.f64 (exp.f64 (neg.f64 x)) 3) (.f64 (exp.f64 (neg.f64 x)) 4))
(/.f64 -1 (exp.f64 x))
(-.f64 (.f64 2 (/.f64 -2 (exp.f64 x))) (.f64 (/.f64 -1 (exp.f64 x)) 3))
(-.f64 (.f64 2 (/.f64 -2 (exp.f64 x))) (.f64 3 (/.f64 -1 (exp.f64 x))))
(-.f64 (.f64 2 (/.f64 -2 (exp.f64 x))) (.f64 (exp.f64 (neg.f64 x)) -3))
(+.f64 (.f64 3 (exp.f64 (neg.f64 x))) (.f64 2 (/.f64 -2 (exp.f64 x))))
(+.f64 (*.f64 3 (exp.f64 (neg.f64 x))) (/.f64 -4 (exp.f64 x)))
(-.f64 (.f64 2 (/.f64 -2 (exp.f64 x))) (/.f64 (.f64 (exp.f64 (neg.f64 x)) 3) -1))
(-.f64 (.f64 2 (/.f64 -2 (exp.f64 x))) (.f64 3 (/.f64 -1 (exp.f64 x))))
(-.f64 (.f64 2 (/.f64 -2 (exp.f64 x))) (.f64 (exp.f64 (neg.f64 x)) -3))
(+.f64 (.f64 3 (exp.f64 (neg.f64 x))) (.f64 2 (/.f64 -2 (exp.f64 x))))
(+.f64 (*.f64 3 (exp.f64 (neg.f64 x))) (/.f64 -4 (exp.f64 x)))
(-.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) 3) (.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) 4) (.f64 (exp.f64 (neg.f64 x)) 3)))
(/.f64 -1 (exp.f64 x))
(*.f64 -1 (exp.f64 (neg.f64 x)))
(/.f64 -1 (exp.f64 x))
(*.f64 1 (/.f64 -1 (exp.f64 x)))
(/.f64 -1 (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) -1)
(/.f64 -1 (exp.f64 x))
(*.f64 (/.f64 -1 (exp.f64 x)) 1)
(/.f64 -1 (exp.f64 x))
(pow.f64 (/.f64 -1 (exp.f64 x)) 1)
(/.f64 -1 (exp.f64 x))
(neg.f64 (exp.f64 (neg.f64 x)))
(/.f64 -1 (exp.f64 x))
(+.f64 -1 (+.f64 (/.f64 x (exp.f64 x)) 1))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 x (exp.f64 x)) 0)
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 0 (/.f64 x (exp.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) 2))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 (/.f64 x (exp.f64 x)) 2) (/.f64 (neg.f64 x) (exp.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) -2) (/.f64 (.f64 x 3) (exp.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 (.f64 x 3) (exp.f64 x)) (.f64 (/.f64 x (exp.f64 x)) -2))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 (/.f64 (.f64 x 4) (exp.f64 x)) (.f64 (/.f64 x (exp.f64 x)) -3))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) -1)
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 (+.f64 1 (*.f64 (/.f64 x (exp.f64 x)) 2)) (+.f64 -1 (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) -3) (/.f64 (.f64 x 4) (exp.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 (+.f64 1 (/.f64 (neg.f64 x) (exp.f64 x))) (+.f64 -1 (*.f64 (/.f64 x (exp.f64 x)) 2)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (.f64 (/.f64 x (exp.f64 x)) 5))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 (+.f64 -1 (*.f64 (/.f64 x (exp.f64 x)) 2)) (+.f64 1 (/.f64 (neg.f64 x) (exp.f64 x))))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 (+.f64 -1 (/.f64 (neg.f64 x) (exp.f64 x))) (+.f64 1 (*.f64 (/.f64 x (exp.f64 x)) 2)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(+.f64 (.f64 (/.f64 x (exp.f64 x)) 5) (.f64 (/.f64 x (exp.f64 x)) -4))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 (/.f64 x (exp.f64 x)) 0)
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 0 (/.f64 (neg.f64 x) (exp.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (*.f64 (/.f64 x (exp.f64 x)) -2))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 (*.f64 (/.f64 x (exp.f64 x)) 2) (/.f64 x (exp.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -2) (.f64 (/.f64 x (exp.f64 x)) -3))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 (/.f64 (.f64 x 3) (exp.f64 x)) (.f64 (/.f64 x (exp.f64 x)) 2))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 (/.f64 (.f64 x 4) (exp.f64 x)) (/.f64 (.f64 x 3) (exp.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) 1)
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -3) (.f64 (/.f64 x (exp.f64 x)) -4))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (/.f64 x (exp.f64 x))))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (+.f64 (.f64 (/.f64 x (exp.f64 x)) -2) (*.f64 (/.f64 x (exp.f64 x)) -3)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) -4) (/.f64 (.f64 (/.f64 x (exp.f64 x)) 5) -1))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 (/.f64 (.f64 (/.f64 x (exp.f64 x)) 6) -1) (/.f64 (.f64 (/.f64 x (exp.f64 x)) 7) -1))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 (/.f64 (.f64 (/.f64 x (exp.f64 x)) 6) -1) (+.f64 (.f64 (/.f64 x (exp.f64 x)) -3) (*.f64 (/.f64 x (exp.f64 x)) -4)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) 8) (.f64 (/.f64 x (exp.f64 x)) 7))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 (.f64 (/.f64 x (exp.f64 x)) 6) (.f64 (/.f64 x (exp.f64 x)) 5))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(-.f64 (+.f64 (+.f64 1 (.f64 (/.f64 x (exp.f64 x)) 2)) (+.f64 1 (.f64 (/.f64 x (exp.f64 x)) 2))) (+.f64 (+.f64 (/.f64 x (exp.f64 x)) 1) (+.f64 1 (*.f64 (/.f64 x (exp.f64 x)) 2))))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(*.f64 -1 (/.f64 (neg.f64 x) (exp.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(*.f64 x (exp.f64 (neg.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(.f64 x (+.f64 (/.f64 -2 (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) 3)))
(.f64 x (+.f64 (/.f64 -2 (exp.f64 x)) (.f64 3 (exp.f64 (neg.f64 x)))))
(*.f64 x (+.f64 (/.f64 -2 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 -2 (exp.f64 x)))))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(.f64 x (+.f64 (.f64 (exp.f64 (neg.f64 x)) 4) (-.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))))
(.f64 x (+.f64 (.f64 4 (exp.f64 (neg.f64 x))) (-.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))))
(.f64 x (+.f64 (.f64 4 (exp.f64 (neg.f64 x))) (/.f64 -3 (exp.f64 x))))
(.f64 x (+.f64 (.f64 (exp.f64 (neg.f64 x)) 4) (*.f64 (/.f64 -1 (exp.f64 x)) 3)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(*.f64 (/.f64 x (exp.f64 x)) 1)
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(*.f64 1 (/.f64 x (exp.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) x)
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x -2) (*.f64 x 3)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x -2) (-.f64 x (*.f64 x -2))))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x 4) (-.f64 x (*.f64 x 4))))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x 4) (*.f64 (neg.f64 x) 3)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(*.f64 (neg.f64 x) (/.f64 -1 (exp.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(*.f64 (neg.f64 x) (+.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(.f64 (neg.f64 x) (+.f64 (/.f64 2 (exp.f64 x)) (.f64 (/.f64 -1 (exp.f64 x)) 3)))
(.f64 (neg.f64 x) (+.f64 (/.f64 2 (exp.f64 x)) (.f64 3 (/.f64 -1 (exp.f64 x)))))
(.f64 (neg.f64 x) (+.f64 (/.f64 2 (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) -3)))
(.f64 x (neg.f64 (+.f64 (/.f64 2 (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) -3))))
(.f64 (neg.f64 x) (+.f64 (.f64 (exp.f64 (neg.f64 x)) 3) (*.f64 2 (/.f64 -2 (exp.f64 x)))))
(.f64 (neg.f64 x) (+.f64 (.f64 3 (exp.f64 (neg.f64 x))) (*.f64 2 (/.f64 -2 (exp.f64 x)))))
(.f64 x (neg.f64 (+.f64 (.f64 3 (exp.f64 (neg.f64 x))) (*.f64 2 (/.f64 -2 (exp.f64 x))))))
(.f64 x (neg.f64 (+.f64 (.f64 3 (exp.f64 (neg.f64 x))) (/.f64 -4 (exp.f64 x)))))
(*.f64 (/.f64 (neg.f64 x) (exp.f64 x)) -1)
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(*.f64 (/.f64 -1 (exp.f64 x)) (neg.f64 x))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (+.f64 x x) (-.f64 x (.f64 x 4))))
(.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (-.f64 x (.f64 x 4)) (+.f64 x x)))
(/.f64 (+.f64 (-.f64 x (*.f64 x 4)) (+.f64 x x)) (neg.f64 (exp.f64 x)))
(.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (+.f64 x x) (.f64 (neg.f64 x) 3)))
(.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (.f64 3 (neg.f64 x)) (+.f64 x x)))
(.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (.f64 x -3) (+.f64 x x)))
(.f64 (/.f64 -1 (exp.f64 x)) (+.f64 x (+.f64 x (.f64 x -3))))
(/.f64 (+.f64 x (+.f64 x (*.f64 x -3))) (neg.f64 (exp.f64 x)))
(.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (.f64 x 3) (.f64 2 (.f64 x -2))))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(.f64 (+.f64 (/.f64 -2 (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) 3)) x)
(.f64 x (+.f64 (/.f64 -2 (exp.f64 x)) (.f64 3 (exp.f64 (neg.f64 x)))))
(.f64 (+.f64 (.f64 x -2) (*.f64 x 3)) (exp.f64 (neg.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(*.f64 (+.f64 (/.f64 -2 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (/.f64 -2 (exp.f64 x)))) x)
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(.f64 (+.f64 (.f64 x -2) (-.f64 x (*.f64 x -2))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x -2) (-.f64 x (*.f64 x -2))))
(*.f64 (+.f64 (/.f64 2 (exp.f64 x)) (-.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (neg.f64 x))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(.f64 (+.f64 (/.f64 2 (exp.f64 x)) (.f64 (/.f64 -1 (exp.f64 x)) 3)) (neg.f64 x))
(.f64 (neg.f64 x) (+.f64 (/.f64 2 (exp.f64 x)) (.f64 3 (/.f64 -1 (exp.f64 x)))))
(.f64 (neg.f64 x) (+.f64 (/.f64 2 (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) -3)))
(.f64 x (neg.f64 (+.f64 (/.f64 2 (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) -3))))
(.f64 (+.f64 (+.f64 x x) (-.f64 x (.f64 x 4))) (/.f64 -1 (exp.f64 x)))
(.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (-.f64 x (.f64 x 4)) (+.f64 x x)))
(/.f64 (+.f64 (-.f64 x (*.f64 x 4)) (+.f64 x x)) (neg.f64 (exp.f64 x)))
(.f64 (+.f64 (+.f64 x x) (.f64 (neg.f64 x) 3)) (/.f64 -1 (exp.f64 x)))
(.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (.f64 3 (neg.f64 x)) (+.f64 x x)))
(.f64 (/.f64 -1 (exp.f64 x)) (+.f64 (.f64 x -3) (+.f64 x x)))
(.f64 (/.f64 -1 (exp.f64 x)) (+.f64 x (+.f64 x (.f64 x -3))))
(/.f64 (+.f64 x (+.f64 x (*.f64 x -3))) (neg.f64 (exp.f64 x)))
(.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) 3) (*.f64 2 (/.f64 -2 (exp.f64 x)))) (neg.f64 x))
(.f64 (neg.f64 x) (+.f64 (.f64 3 (exp.f64 (neg.f64 x))) (*.f64 2 (/.f64 -2 (exp.f64 x)))))
(.f64 x (neg.f64 (+.f64 (.f64 3 (exp.f64 (neg.f64 x))) (*.f64 2 (/.f64 -2 (exp.f64 x))))))
(.f64 x (neg.f64 (+.f64 (.f64 3 (exp.f64 (neg.f64 x))) (/.f64 -4 (exp.f64 x)))))
(.f64 (+.f64 (.f64 x 3) (.f64 2 (.f64 x -2))) (/.f64 -1 (exp.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) 4) (-.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) x)
(.f64 x (+.f64 (.f64 4 (exp.f64 (neg.f64 x))) (-.f64 (/.f64 -2 (exp.f64 x)) (exp.f64 (neg.f64 x)))))
(.f64 x (+.f64 (.f64 4 (exp.f64 (neg.f64 x))) (/.f64 -3 (exp.f64 x))))
(.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) 4) (*.f64 (/.f64 -1 (exp.f64 x)) 3)) x)
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(.f64 (+.f64 (.f64 x 4) (-.f64 x (*.f64 x 4))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x 4) (-.f64 x (*.f64 x 4))))
(.f64 (+.f64 (.f64 x 4) (*.f64 (neg.f64 x) 3)) (exp.f64 (neg.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(pow.f64 (/.f64 x (exp.f64 x)) 1)
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))
(neg.f64 (/.f64 (neg.f64 x) (exp.f64 x)))
(+.f64 -1 (+.f64 1 (/.f64 x (exp.f64 x))))
(/.f64 x (exp.f64 x))

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 -1/2 eps) 1/2)
✓	0.0b	(*.f64 (-.f64 eps 1) x)
✓	0.0b	(.f64 (+.f64 1 (.f64 (-.f64 eps 1) x)) (-.f64 (/.f64 -1/2 eps) 1/2))
✓	3.1b	(-.f64 (-.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (-.f64 (/.f64 -1/2 eps) 1/2)))

Compiler

Compiled 79 to 60 computations (24.1% saved)

series4.0ms (0%)

Counts

4 → 72

Calls

21 calls:

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

rewrite134.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1950×	`rational_best-2`
1950×	`rational_best-1`
1166×	`rational_best-4`
1166×	`rational_best-3`
1166×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	124
1	110	124
2	159	124
3	213	124
4	335	124
5	625	124
6	1240	124
7	2655	124
8	4994	124
9	7470	124

Stop Event

1×	node limit

Counts

4 → 160

Calls

Call 1

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

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

simplify648.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

2242×	`rational_best-simplify-1`
1390×	`rational_best-simplify-51`
1174×	`rational_best-simplify-2`
1026×	`rational_best-simplify-43`
1016×	`rational_best-simplify-49`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	452	19378
1	987	18670
2	2122	17422
3	2584	17048
4	3343	16974
5	4104	16696
6	5031	16592
7	5902	16492
8	7416	16460

Stop Event

1×	node limit

Counts

232 → 457

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1/2 (+.f64 1 (*.f64 -1 x)))) eps))
(-.f64 (+.f64 1/2 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) eps))) (.f64 -1 (+.f64 (.f64 1/2 (+.f64 1 (.f64 -1 x))) (*.f64 1/2 x))))
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(-.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (.f64 eps x)) (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) eps)))) (.f64 -1 (+.f64 (.f64 1/2 (+.f64 1 (.f64 -1 x))) (*.f64 1/2 x))))
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(-.f64 (+.f64 1/2 (.f64 1/2 (.f64 eps x))) (+.f64 (.f64 -1/2 x) (.f64 -1/2 (+.f64 1 (*.f64 -1 x)))))
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(.f64 1/2 (.f64 eps x))
(-.f64 (+.f64 1/2 (.f64 1/2 (.f64 eps x))) (+.f64 (.f64 -1/2 x) (.f64 -1/2 (+.f64 1 (*.f64 -1 x)))))
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(+.f64 (+.f64 (+.f64 -1/2 (+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 1/2 (/.f64 -1 eps)))) (/.f64 -1 eps)) (-.f64 0 (.f64 (+.f64 -1/2 (+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) (*.f64 1/2 (/.f64 -1 eps)))) 2)))
(+.f64 (+.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -3)) (.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -4)) (-.f64 0 (.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -3)) 2)))
(+.f64 (+.f64 (+.f64 1/2 (+.f64 1 (+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 1/2 (/.f64 -1 eps))))) (+.f64 1/2 (+.f64 (/.f64 -1 eps) 3/2))) (-.f64 0 (+.f64 (+.f64 1/2 (+.f64 1 (+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 1/2 (/.f64 -1 eps))))) (+.f64 1/2 (+.f64 1 (+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) (*.f64 1/2 (/.f64 -1 eps))))))))
(+.f64 (+.f64 (+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) -7)) (.f64 (+.f64 1 (/.f64 -1 eps)) 4)) (-.f64 0 (+.f64 (+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) -7)) (+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 (-.f64 -1/2 (*.f64 1/2 (/.f64 -1 eps))) -7)))))
(+.f64 (+.f64 (.f64 2 (+.f64 1/2 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))))) (+.f64 1/2 (+.f64 1 (+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 1/2 (/.f64 -1 eps)))))) (-.f64 0 (+.f64 (.f64 2 (+.f64 1/2 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))))) (.f64 2 (+.f64 1/2 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))))))))
(+.f64 (+.f64 (.f64 -2 (+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 1/2 (/.f64 1/2 eps))) (.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) 3))) (+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) -7))) (-.f64 0 (+.f64 (.f64 -2 (+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 1/2 (/.f64 1/2 eps))) (.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) 3))) (.f64 -2 (+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 1/2 (/.f64 1/2 eps))) (.f64 (-.f64 -1/2 (*.f64 1/2 (/.f64 -1 eps))) 3))))))
(.f64 1 (+.f64 (+.f64 1/2 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 1/2 (/.f64 1/2 eps)))) (.f64 1/2 (/.f64 -1 eps))))
(.f64 (+.f64 (+.f64 1/2 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 1/2 (/.f64 1/2 eps)))) (.f64 1/2 (/.f64 -1 eps))) 1)
(.f64 -1 (+.f64 -1/2 (+.f64 (.f64 1/2 (/.f64 1 eps)) (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))))))
(.f64 -1 (-.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) (+.f64 (.f64 (+.f64 1 (/.f64 -1 eps)) 2) (.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) 3))))
(.f64 -1 (-.f64 (+.f64 1/2 (+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) (.f64 1/2 (/.f64 -1 eps)))) (+.f64 (*.f64 (+.f64 1 (/.f64 -1 eps)) 2) (+.f64 (/.f64 1 eps) -1))))
(.f64 -1 (-.f64 (+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 1/2 (/.f64 1/2 eps))) (.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) 3)) (+.f64 (.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -2) (+.f64 (/.f64 1 eps) -1))))
(.f64 -1 (-.f64 (+.f64 (.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -2) (+.f64 (/.f64 1 eps) -1)) (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -3))))
(.f64 (+.f64 -1/2 (+.f64 (.f64 1/2 (/.f64 1 eps)) (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))))) -1)
(/.f64 (+.f64 (+.f64 1/2 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 1/2 (/.f64 1/2 eps)))) (*.f64 1/2 (/.f64 -1 eps))) 1)
(/.f64 (+.f64 -1/2 (+.f64 (.f64 1/2 (/.f64 1 eps)) (.f64 (+.f64 1 (*.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))))) -1)
(pow.f64 (+.f64 (+.f64 1/2 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 1/2 (/.f64 1/2 eps)))) (*.f64 1/2 (/.f64 -1 eps))) 1)
(neg.f64 (+.f64 -1/2 (+.f64 (.f64 1/2 (/.f64 1 eps)) (.f64 (+.f64 1 (*.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))))))
(+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 0)
(+.f64 0 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))))
(+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 1/2 (/.f64 1/2 eps))) (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2)))
(+.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2)) (.f64 (+.f64 1 (*.f64 (+.f64 eps -1) x)) (+.f64 1/2 (/.f64 1/2 eps))))
(-.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 0)
(-.f64 0 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 1/2 (/.f64 1/2 eps))))
(/.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 1)
(/.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 1/2 (/.f64 1/2 eps))) -1)
(pow.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 1)
(neg.f64 (.f64 (+.f64 1 (.f64 (+.f64 eps -1) x)) (+.f64 1/2 (/.f64 1/2 eps))))
(+.f64 (*.f64 (+.f64 eps -1) x) 0)
(+.f64 0 (*.f64 (+.f64 eps -1) x))
(-.f64 (*.f64 (+.f64 eps -1) x) 0)
(-.f64 0 (*.f64 x (-.f64 1 eps)))
(/.f64 (*.f64 (+.f64 eps -1) x) 1)
(/.f64 (*.f64 x (-.f64 1 eps)) -1)
(pow.f64 (*.f64 (+.f64 eps -1) x) 1)
(neg.f64 (*.f64 x (-.f64 1 eps)))
(+.f64 -1/2 (/.f64 -1/2 eps))
(+.f64 (/.f64 -1/2 eps) -1/2)
(+.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 0)
(+.f64 0 (+.f64 -1/2 (/.f64 -1/2 eps)))
(+.f64 (+.f64 1/2 (/.f64 1/2 eps)) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2))
(+.f64 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 2) (+.f64 1/2 (/.f64 1/2 eps)))
(*.f64 1 (+.f64 -1/2 (/.f64 -1/2 eps)))
(*.f64 (/.f64 -1/2 eps) (-.f64 1 (neg.f64 eps)))
(*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 1)
(*.f64 -1 (+.f64 1/2 (/.f64 1/2 eps)))
(*.f64 (+.f64 1/2 (/.f64 1/2 eps)) -1)
(*.f64 (-.f64 1 (neg.f64 eps)) (/.f64 -1/2 eps))
(/.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 1)
(/.f64 (+.f64 1/2 (/.f64 1/2 eps)) -1)
(pow.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 1)
(neg.f64 (+.f64 1/2 (/.f64 1/2 eps)))

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 9 computations (40% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite169.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`rational_best-1`
1376×	`rational_best-2`
1374×	`rational_best-4`
1374×	`rational_best-3`
1374×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	50	17
2	77	17
3	108	17
4	161	17
5	279	17
6	736	17
7	2972	17
8	6367	17

Stop Event

1×	node limit

Counts

1 → 127

Calls

Call 1

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

Outputs

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simplify186.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1156×	`rational_best-simplify-1`
726×	`rational_best-simplify-54`
716×	`rational_best-simplify-2`
702×	`rational_best-simplify-53`
696×	`rational_best-simplify-55`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	284	5119
1	543	5009
2	850	4249
3	1249	4221
4	2216	3921
5	3315	3727
6	5599	3727
7	7481	3657

Stop Event

1×	node limit

Counts

139 → 198

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 39 to 28 computations (28.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite19.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

44×	`rational_best-simplify-2`
30×	`rational_best-4`
30×	`rational_best-2`
30×	`rational_best-3`
30×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	83	46
2	118	46
3	136	46
4	148	46
5	158	46
6	163	46
7	175	46
8	186	46

Stop Event

1×

saturated

Counts

2 → 19

Calls

Call 1

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

Outputs

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

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

simplify375.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1626×	`rational_best-simplify-1`
1308×	`rational_best-simplify-2`
1232×	`rational_best-simplify-38`
868×	`rational_best-simplify-34`
636×	`rational_best-simplify-48`

Iterations

Useful iterations: 14 (0.0ms)

Iter	Nodes	Cost
0	98	1887
1	204	1703
2	359	1675
3	542	1633
4	709	1619
5	750	1511
6	771	1403
7	780	1403
8	852	1395
9	1069	1395
10	1311	1375
11	1591	1375
12	2106	1375
13	2719	1375
14	2879	1337
15	3199	1337
16	4114	1337
17	5619	1337
18	7495	1337

Stop Event

1×	node limit

Counts

43 → 116

Calls

Call 1

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

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

localize162.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))
✓	0.1b	(+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 -1/2 (/.f64 -1/2 eps)))))
✓	0.2b	(*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3)
✓	3.2b	(+.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.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)) -3)))

Compiler

Compiled 165 to 129 computations (21.8% saved)

series9.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	inf	(+.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.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)) -3)))
1.0ms	eps	@	0	(+.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.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)) -3)))
1.0ms	x	@	0	(+.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.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)) -3)))
1.0ms	x	@	-inf	(+.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.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)) -3)))
1.0ms	eps	@	-inf	(+.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.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)) -3)))

rewrite106.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

112×	`rational_best-simplify-1`
102×	`rational_best-simplify-2`
72×	`rational_best-4`
72×	`rational_best-2`
72×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	230
1	163	230
2	246	184
3	323	182
4	377	182
5	420	182
6	428	182

Stop Event

1×

saturated

Counts

4 → 20

Calls

Call 1

Inputs
(+.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.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)) -3)))
(*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3)
(+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.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)) -3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 -1/2 (/.f64 -1/2 eps))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 -1/2 (/.f64 -1/2 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.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 1/2 (/.f64 -1 eps)) (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 -1/2 (/.f64 -1/2 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 -1/2 (/.f64 -1/2 eps))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3)) 1)))))

simplify283.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2330×	`rational_best-simplify-1`
2068×	`rational_best-simplify-2`
1652×	`rational_best-simplify-51`
830×	`rational_best-simplify-48`
740×	`rational_best-simplify-47`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	234	8886
1	519	7050
2	925	6684
3	1520	6322
4	2143	6128
5	2730	5880
6	3492	5728
7	4280	5714
8	4844	5702
9	6420	5698
10	7406	5698

Stop Event

1×	node limit

Counts

104 → 249

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 (.f64 3/2 (exp.f64 (.f64 -1 x))) (.f64 -1 (exp.f64 (.f64 -1 x)))) 1/2) eps)
(-.f64 (+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (+.f64 1/2 (+.f64 (.f64 3 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (+.f64 (.f64 -1 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (.f64 -2 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (+.f64 (.f64 3 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (+.f64 1/2 (+.f64 (.f64 -1 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (+.f64 (.f64 -2 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (.f64 eps (+.f64 (.f64 -2 (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))) (.f64 3 (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))))))))))) (.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (+.f64 (.f64 3 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (+.f64 1/2 (+.f64 (.f64 -1 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (+.f64 (.f64 -2 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (+.f64 (.f64 eps (+.f64 (.f64 -2 (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))) (.f64 3 (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))))) (.f64 (pow.f64 eps 2) (+.f64 (.f64 3 (+.f64 (.f64 1/12 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))) (.f64 -2 (+.f64 (.f64 1/12 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))))))))))) (*.f64 1/2 (/.f64 1 eps)))
(+.f64 1/2 (+.f64 (.f64 -1 (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 3/2 (exp.f64 (.f64 (-.f64 eps 1) x)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (+.f64 1/2 (+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (+.f64 (.f64 -1 (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 3/2 (exp.f64 (.f64 (-.f64 eps 1) x))))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (+.f64 1/2 (+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (+.f64 (.f64 -1 (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 3/2 (exp.f64 (.f64 (-.f64 eps 1) x))))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (+.f64 1/2 (+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (+.f64 (.f64 -1 (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 3/2 (exp.f64 (.f64 (-.f64 eps 1) x))))))) (*.f64 1/2 (/.f64 1 eps)))
(+.f64 1/2 (+.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 3/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))))))
(+.f64 1/2 (+.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (+.f64 (.f64 3/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (/.f64 (+.f64 1/2 (+.f64 (.f64 -3/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))))) eps)))))
(+.f64 1/2 (+.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (+.f64 (.f64 3/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (/.f64 (+.f64 1/2 (+.f64 (.f64 -3/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))))) eps)))))
(+.f64 1/2 (+.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (+.f64 (.f64 3/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (/.f64 (+.f64 1/2 (+.f64 (.f64 -3/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))))) eps)))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -2 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)) (.f64 3 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 3 (.f64 (-.f64 eps 1) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))) (.f64 -2 (.f64 (-.f64 eps 1) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)))) x) (+.f64 1/2 (+.f64 (.f64 3 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)) (.f64 -2 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))))) (.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 3 (.f64 (-.f64 eps 1) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))) (.f64 -2 (.f64 (-.f64 eps 1) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)))) x) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 eps 1) 2) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))) (.f64 3/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)))) (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 3 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)) (.f64 -2 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 3 (.f64 (-.f64 eps 1) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))) (.f64 -2 (.f64 (-.f64 eps 1) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)))) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (-.f64 eps 1) 3) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))) (.f64 1/2 (.f64 (pow.f64 (-.f64 eps 1) 3) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 eps 1) 2) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))) (.f64 3/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)))) (pow.f64 x 2)) (+.f64 1/2 (+.f64 (.f64 3 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)) (.f64 -2 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))))))) (.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(/.f64 3/2 eps)
(+.f64 (*.f64 3/2 (/.f64 1 eps)) 3/2)
(+.f64 (*.f64 3/2 (/.f64 1 eps)) 3/2)
(+.f64 (*.f64 3/2 (/.f64 1 eps)) 3/2)
3/2
(+.f64 (*.f64 3/2 (/.f64 1 eps)) 3/2)
(+.f64 (*.f64 3/2 (/.f64 1 eps)) 3/2)
(+.f64 (*.f64 3/2 (/.f64 1 eps)) 3/2)
3/2
(+.f64 (*.f64 3/2 (/.f64 1 eps)) 3/2)
(+.f64 (*.f64 3/2 (/.f64 1 eps)) 3/2)
(+.f64 (*.f64 3/2 (/.f64 1 eps)) 3/2)
(/.f64 (-.f64 (.f64 -1 (exp.f64 (.f64 -1 x))) 1/2) eps)
(-.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (.f64 -2 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (+.f64 (.f64 -2 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (.f64 -2 (.f64 eps (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -2 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/12 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (.f64 -1 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (+.f64 (.f64 -2 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (.f64 -2 (.f64 eps (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))))))) (*.f64 1/2 (/.f64 1 eps)))
(.f64 -1 (exp.f64 (.f64 (-.f64 eps 1) x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (.f64 -1 (exp.f64 (.f64 (-.f64 eps 1) x)))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (.f64 -1 (exp.f64 (.f64 (-.f64 eps 1) x)))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (.f64 -1 (exp.f64 (.f64 (-.f64 eps 1) x)))) (*.f64 1/2 (/.f64 1 eps)))
(.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))))
(+.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (/.f64 (+.f64 1/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) eps)))
(+.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (/.f64 (+.f64 1/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) eps)))
(+.f64 (.f64 -1 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -1 (/.f64 (+.f64 1/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) eps)))
(-.f64 (.f64 -2 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -2 (.f64 (-.f64 eps 1) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) x))) (.f64 -2 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 eps 1) 2) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (pow.f64 x 2)))) (+.f64 (.f64 -2 (.f64 (-.f64 eps 1) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) x))) (.f64 -2 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 eps 1) 2) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (-.f64 eps 1) 3) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (pow.f64 x 3)))) (+.f64 (.f64 -2 (.f64 (-.f64 eps 1) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) x))) (.f64 -2 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (.f64 -2 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (*.f64 1/2 (/.f64 1 eps)))
(.f64 3 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))
(+.f64 (.f64 3 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)) (.f64 3 (.f64 (-.f64 eps 1) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) x))))
(+.f64 (.f64 3/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (pow.f64 x 2)))) (+.f64 (.f64 3 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)) (.f64 3 (.f64 (-.f64 eps 1) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) x)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (-.f64 eps 1) 3) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (pow.f64 x 3)))) (+.f64 (.f64 3/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (pow.f64 x 2)))) (+.f64 (.f64 3 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)) (.f64 3 (.f64 (-.f64 eps 1) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) x))))))
(.f64 3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x))))
(.f64 3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x))))
(.f64 3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x))))
(.f64 3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x))))
(.f64 3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x))))
(.f64 3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x))))
(.f64 3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x))))
(.f64 3 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x))))
(.f64 3/2 (/.f64 (exp.f64 (.f64 -1 x)) eps))
(+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (.f64 3 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))))
(+.f64 (.f64 3 (.f64 eps (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (.f64 3 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x))))))
(+.f64 (.f64 3 (.f64 eps (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (+.f64 (.f64 3 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (.f64 3 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/12 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))))))))
(.f64 3/2 (exp.f64 (.f64 (-.f64 eps 1) x)))
(+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (.f64 3/2 (exp.f64 (.f64 (-.f64 eps 1) x))))
(+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (.f64 3/2 (exp.f64 (.f64 (-.f64 eps 1) x))))
(+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (.f64 3/2 (exp.f64 (.f64 (-.f64 eps 1) x))))
(.f64 3/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))))
(+.f64 (.f64 3/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 3/2 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) eps)))
(+.f64 (.f64 3/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 3/2 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) eps)))
(+.f64 (.f64 3/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 3/2 (/.f64 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))) eps)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))) 0)
(.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))) 1)
(.f64 1 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))))
(/.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))) 1)
(pow.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))) 1)
(+.f64 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3) 0)
(+.f64 0 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))
(-.f64 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3) 0)
(/.f64 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3) 1)
(pow.f64 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 -1/2 (/.f64 -1/2 eps))))) 0)
(.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 -1/2 (/.f64 -1/2 eps))))) 1)
(.f64 1 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (+.f64 -1/2 (/.f64 -1/2 eps))))))
(/.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 -1/2 (/.f64 -1/2 eps))))) 1)
(pow.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (+.f64 -1/2 (/.f64 -1/2 eps))))) 1)
(+.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3)) 0)
(+.f64 0 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3)))
(-.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3)) 0)
(/.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3)) 1)
(pow.f64 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3)) 1)

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

eval1.2s (5.2%)

Compiler: Compiled 39455 to 29695 computations (24.7% saved)

prune530.0ms (2.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	1168	7	1175
Fresh	0	4	4
Picked	1	0	1
Done	3	1	4
Total	1172	12	1184

Error

0.0b

Counts

1184 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(/.f64 (-.f64 (+.f64 (.f64 -4 (exp.f64 (.f64 (+.f64 eps -1) x))) (+.f64 (.f64 1/2 (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))) (.f64 -7/2 (exp.f64 (.f64 (+.f64 eps -1) x))))) (.f64 -8 (exp.f64 (.f64 (+.f64 eps -1) x)))) (/.f64 eps eps))
✓	0.2b	(/.f64 (+.f64 x 1) (exp.f64 x))
▶	47.3b	(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (+.f64 (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (+.f64 -1 (/.f64 1 eps))))
▶	17.7b	(-.f64 1/2 (.f64 -1/2 (exp.f64 (.f64 x eps))))
▶	0.2b	(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
	47.3b	(+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)))) (.f64 -2 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 3)))))
▶	47.4b	(+.f64 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5))) (.f64 (neg.f64 (exp.f64 (.f64 x (+.f64 -1 eps)))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6)))
	18.4b	(+.f64 1 (.f64 (+.f64 -1 eps) (.f64 1/2 x)))
	18.0b	(+.f64 1/2 (+.f64 (.f64 -1 (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 3/2 (exp.f64 (.f64 (-.f64 eps 1) x)))))
▶	61.9b	(.f64 1/2 (.f64 x eps))
	17.6b	1
	45.3b	0

Compiler

Compiled 504 to 408 computations (19% saved)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

localize11.0ms (0%)

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

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))
	0.2b	(*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3)
✓	2.9b	(+.f64 (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (+.f64 -1 (/.f64 1 eps)))
✓	10.5b	(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (+.f64 (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (+.f64 -1 (/.f64 1 eps))))

Compiler

Compiled 189 to 151 computations (20.1% saved)

series6.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (+.f64 (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (+.f64 -1 (/.f64 1 eps))))
1.0ms	eps	@	0	(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (+.f64 (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (+.f64 -1 (/.f64 1 eps))))
1.0ms	eps	@	-inf	(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (+.f64 (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (+.f64 -1 (/.f64 1 eps))))
1.0ms	x	@	-inf	(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (+.f64 (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (+.f64 -1 (/.f64 1 eps))))
1.0ms	eps	@	inf	(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (+.f64 (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (+.f64 -1 (/.f64 1 eps))))

rewrite153.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1758×	`rational_best-1`
1752×	`rational_best-4`
1752×	`rational_best-2`
1752×	`rational_best-3`
1334×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	237
1	182	237
2	268	237
3	357	237
4	555	237
5	1101	237
6	2003	237
7	3068	237
8	4978	237
9	7338	237

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs

(-.f64 (+.f64 (-.f64 -1/2 (*.f64 1/2 (/.f64 -1 eps))) (*.f64 (+.f64 1 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (+.f64 (*.f64 (+.f64 1 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (+.f64 -1 (/.f64 1 eps))))

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

(*.f64 (+.f64 1 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (-.f64 (+.f64 1 (+.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 -1 eps))) (*.f64 (+.f64 1 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3)))) (+.f64 (*.f64 (+.f64 1 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 -1 eps))) (+.f64 (*.f64 (+.f64 1 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3)) (-.f64 1 (+.f64 (*.f64 (+.f64 1 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (/.f64 1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (+.f64 (+.f64 -1/2 (*.f64 -1/2 (/.f64 -1 eps))) (*.f64 (+.f64 1 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (+.f64 (*.f64 (+.f64 1 (*.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (/.f64 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (+.f64 (*.f64 (+.f64 -1/2 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simplify1.1s (4.7%)

Algorithm

1×	egg-herbie

Rules

1864×	`rational_best-simplify-1`
1270×	`rational_best-simplify-2`
926×	`rational_best-simplify-51`
734×	`rational_best-simplify-43`
580×	`rational_best-simplify-45`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	445	28364
1	987	26598
2	1928	25844
3	2295	25556
4	2810	25130
5	3660	24710
6	5205	23480
7	6711	23310
8	7873	23310

Stop Event

1×	node limit

Counts

190 → 427

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 12 computations (55.6% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite16.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

40×	`rational_best-simplify-2`
28×	`rational_best-4`
28×	`rational_best-2`
28×	`rational_best-3`
28×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	70	34
2	102	34
3	119	34
4	132	34
5	147	34
6	152	34
7	164	34
8	174	34

Stop Event

1×

saturated

Counts

2 → 19

Calls

Call 1

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

Outputs

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

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

simplify210.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

122×	`rational_best-simplify-1`
86×	`rational_best-simplify-2`
78×	`rational_best-simplify-43`
28×	`rational_best-simplify-17`
28×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	1381
1	114	1381
2	178	1381
3	234	1381
4	288	1381
5	304	1381
6	305	1381

Stop Event

1×

saturated

Counts

67 → 38

Calls

Call 1

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

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

localize255.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)))
✓	0.2b	(*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)
✓	0.2b	(*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6)
✓	19.6b	(+.f64 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5))) (.f64 (neg.f64 (exp.f64 (.f64 x (+.f64 -1 eps)))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6)))

Compiler

Compiled 156 to 123 computations (21.2% saved)

series7.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)
1.0ms	eps	@	0	(+.f64 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5))) (.f64 (neg.f64 (exp.f64 (.f64 x (+.f64 -1 eps)))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6)))
1.0ms	x	@	-inf	(+.f64 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5))) (.f64 (neg.f64 (exp.f64 (.f64 x (+.f64 -1 eps)))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6)))
1.0ms	x	@	0	(+.f64 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5))) (.f64 (neg.f64 (exp.f64 (.f64 x (+.f64 -1 eps)))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6)))
0.0ms	eps	@	-inf	(+.f64 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5))) (.f64 (neg.f64 (exp.f64 (.f64 x (+.f64 -1 eps)))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6)))

rewrite29.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

144×	`rational_best-simplify-2`
116×	`rational_best-simplify-1`
90×	`rational_best-4`
90×	`rational_best-2`
90×	`rational_best-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	218
1	170	218
2	255	196
3	345	166
4	428	166
5	520	166
6	540	166
7	542	166

Stop Event

1×

saturated

Counts

4 → 20

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5))) (.f64 (neg.f64 (exp.f64 (.f64 x (+.f64 -1 eps)))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6)))
(*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6)
(*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)
(+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)))) 1)))))

simplify578.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2236×	`rational_best-simplify-2`
2192×	`rational_best-simplify-51`
2112×	`rational_best-simplify-1`
656×	`rational_best-simplify-47`
608×	`rational_best-simplify-48`

Iterations

Useful iterations: 13 (0.0ms)

Iter	Nodes	Cost
0	233	7544
1	502	6370
2	838	5606
3	1373	5396
4	1856	5216
5	2220	5060
6	2778	4970
7	3494	4928
8	4281	4928
9	4418	4928
10	5036	4928
11	6473	4928
12	7483	4928
13	7692	4916

Stop Event

1×	node limit

Counts

92 → 179

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 (.f64 3 (exp.f64 (.f64 -1 x))) (.f64 -5/2 (exp.f64 (.f64 -1 x)))) 1/2) eps)
(-.f64 (+.f64 (.f64 -5 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (+.f64 1/2 (+.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (+.f64 (.f64 6 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (.f64 -5/2 (/.f64 (exp.f64 (.f64 -1 x)) eps)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (+.f64 1/2 (+.f64 (.f64 eps (+.f64 (.f64 6 (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))) (.f64 -5 (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))))) (+.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (+.f64 (.f64 6 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (.f64 -5/2 (/.f64 (exp.f64 (.f64 -1 x)) eps))))))) (.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -5 (+.f64 (.f64 1/12 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))) (.f64 6 (+.f64 (.f64 1/12 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))))) (+.f64 1/2 (+.f64 (.f64 eps (+.f64 (.f64 6 (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))) (.f64 -5 (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))))) (+.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (+.f64 (.f64 6 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (.f64 -5/2 (/.f64 (exp.f64 (.f64 -1 x)) eps)))))))) (*.f64 1/2 (/.f64 1 eps)))
(+.f64 1/2 (+.f64 (.f64 -5/2 (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 3 (exp.f64 (.f64 (-.f64 eps 1) x)))))
(-.f64 (+.f64 (.f64 -5/2 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (+.f64 1/2 (+.f64 (.f64 -5/2 (exp.f64 (.f64 (-.f64 eps 1) x))) (+.f64 (.f64 3 (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 3 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5/2 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (+.f64 1/2 (+.f64 (.f64 -5/2 (exp.f64 (.f64 (-.f64 eps 1) x))) (+.f64 (.f64 3 (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 3 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5/2 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (+.f64 1/2 (+.f64 (.f64 -5/2 (exp.f64 (.f64 (-.f64 eps 1) x))) (+.f64 (.f64 3 (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 3 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)))))) (*.f64 1/2 (/.f64 1 eps)))
(+.f64 (.f64 -5/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (+.f64 1/2 (.f64 3 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x))))))
(+.f64 (.f64 -5/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (+.f64 1/2 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (+.f64 (.f64 5/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -3 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))))) eps)) (.f64 3 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))))))
(+.f64 (.f64 -5/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (+.f64 1/2 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (+.f64 (.f64 5/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -3 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))))) eps)) (.f64 3 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))))))
(+.f64 (.f64 -5/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (+.f64 1/2 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (+.f64 (.f64 5/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (.f64 -3 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))))) eps)) (.f64 3 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x)))))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -5 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)) (.f64 6 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 (+.f64 (.f64 6 (.f64 (-.f64 eps 1) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))) (.f64 -5 (.f64 (-.f64 eps 1) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)))) x) (+.f64 (.f64 -5 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)) (.f64 6 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))))) (.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 (+.f64 (.f64 6 (.f64 (-.f64 eps 1) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))) (.f64 -5 (.f64 (-.f64 eps 1) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)))) x) (+.f64 (.f64 (+.f64 (.f64 3 (.f64 (pow.f64 (-.f64 eps 1) 2) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))) (.f64 -5/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)))) (pow.f64 x 2)) (+.f64 (.f64 -5 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)) (.f64 6 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 (+.f64 (.f64 6 (.f64 (-.f64 eps 1) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))) (.f64 -5 (.f64 (-.f64 eps 1) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)))) x) (+.f64 (.f64 (+.f64 (.f64 -5/6 (.f64 (pow.f64 (-.f64 eps 1) 3) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))) (.f64 (pow.f64 (-.f64 eps 1) 3) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 3 (.f64 (pow.f64 (-.f64 eps 1) 2) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))) (.f64 -5/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)))) (pow.f64 x 2)) (+.f64 (.f64 -5 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)) (.f64 6 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (+.f64 1/2 (.f64 6 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (+.f64 1/2 (.f64 6 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (+.f64 1/2 (.f64 6 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (+.f64 1/2 (.f64 6 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (+.f64 1/2 (.f64 6 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (+.f64 1/2 (.f64 6 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (+.f64 1/2 (.f64 6 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) (+.f64 1/2 (.f64 6 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(/.f64 -3 eps)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 eps)) 3))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 eps)) 3))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 eps)) 3))
-3
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 eps)) 3))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 eps)) 3))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 eps)) 3))
-3
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 eps)) 3))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 eps)) 3))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 eps)) 3))
(/.f64 -5/2 eps)
(neg.f64 (+.f64 (*.f64 5/2 (/.f64 1 eps)) 5/2))
(neg.f64 (+.f64 (*.f64 5/2 (/.f64 1 eps)) 5/2))
(neg.f64 (+.f64 (*.f64 5/2 (/.f64 1 eps)) 5/2))
-5/2
(neg.f64 (+.f64 (*.f64 5/2 (/.f64 1 eps)) 5/2))
(neg.f64 (+.f64 (*.f64 5/2 (/.f64 1 eps)) 5/2))
(neg.f64 (+.f64 (*.f64 5/2 (/.f64 1 eps)) 5/2))
-5/2
(neg.f64 (+.f64 (*.f64 5/2 (/.f64 1 eps)) 5/2))
(neg.f64 (+.f64 (*.f64 5/2 (/.f64 1 eps)) 5/2))
(neg.f64 (+.f64 (*.f64 5/2 (/.f64 1 eps)) 5/2))
(/.f64 (-.f64 (.f64 -5/2 (exp.f64 (.f64 -1 x))) 1/2) eps)
(-.f64 (+.f64 (.f64 -5 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (+.f64 1/2 (.f64 -5/2 (/.f64 (exp.f64 (.f64 -1 x)) eps)))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (+.f64 1/2 (+.f64 (.f64 -5 (.f64 eps (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))))) (.f64 -5/2 (/.f64 (exp.f64 (.f64 -1 x)) eps))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (+.f64 1/2 (+.f64 (.f64 -5 (.f64 eps (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))))) (+.f64 (.f64 -5 (.f64 (pow.f64 eps 2) (+.f64 (.f64 1/12 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))))) (.f64 -5/2 (/.f64 (exp.f64 (.f64 -1 x)) eps)))))) (*.f64 1/2 (/.f64 1 eps)))
(+.f64 1/2 (.f64 -5/2 (exp.f64 (.f64 (-.f64 eps 1) x))))
(-.f64 (+.f64 (.f64 -5/2 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (+.f64 1/2 (.f64 -5/2 (exp.f64 (.f64 (-.f64 eps 1) x))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5/2 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (+.f64 1/2 (.f64 -5/2 (exp.f64 (.f64 (-.f64 eps 1) x))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5/2 (/.f64 (exp.f64 (.f64 (-.f64 eps 1) x)) eps)) (+.f64 1/2 (.f64 -5/2 (exp.f64 (.f64 (-.f64 eps 1) x))))) (*.f64 1/2 (/.f64 1 eps)))
(+.f64 (.f64 -5/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) 1/2)
(+.f64 (.f64 -5/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (+.f64 1/2 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 5/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (.f64 -5/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (+.f64 1/2 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 5/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(+.f64 (.f64 -5/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 eps)) x)))) (+.f64 1/2 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 5/2 (exp.f64 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 eps)) x))))) eps))))
(-.f64 (+.f64 1/2 (.f64 -5 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -5 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)) (.f64 -5 (.f64 (-.f64 eps 1) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) x))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -5/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (pow.f64 x 2)))) (+.f64 (.f64 -5 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)) (.f64 -5 (.f64 (-.f64 eps 1) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) x)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -5/6 (.f64 (pow.f64 (-.f64 eps 1) 3) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (pow.f64 x 3)))) (+.f64 (.f64 -5/2 (.f64 (pow.f64 (-.f64 eps 1) 2) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (pow.f64 x 2)))) (+.f64 (.f64 -5 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2)) (.f64 -5 (.f64 (-.f64 eps 1) (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) x))))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) 1/2) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) 1/2) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) 1/2) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) 1/2) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) 1/2) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) 1/2) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) 1/2) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (+.f64 (.f64 1/2 (/.f64 1 eps)) 1/2) (exp.f64 (.f64 (-.f64 eps 1) x)))) 1/2) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))) 0)
(.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))) 1)
(.f64 1 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))))
(/.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))) 1)
(pow.f64 (+.f64 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 (exp.f64 (*.f64 x (+.f64 -1 eps))) (neg.f64 (+.f64 -1/2 (/.f64 -1/2 eps)))))) 1)
(+.f64 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6) 0)
(+.f64 0 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6))
(-.f64 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6) 0)
(/.f64 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6) 1)
(pow.f64 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6) 1)
(+.f64 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5) 0)
(+.f64 0 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5))
(-.f64 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5) 0)
(/.f64 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5) 1)
(pow.f64 (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)))) 0)
(.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)))) 1)
(.f64 1 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)))))
(/.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)))) 1)
(pow.f64 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (+.f64 1/2 (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)))) 1)

Outputs
(/.f64 (-.f64 (+.f64 (.f64 3 (exp.f64 (.f64 -1 x))) (.f64 -5/2 (exp.f64 (.f64 -1 x)))) 1/2) eps)
(/.f64 (-.f64 (+.f64 (.f64 3 (exp.f64 (.f64 -1 x))) (.f64 (exp.f64 (.f64 -1 x)) -5/2)) 1/2) eps)
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) 1/2) 1/2) eps)
(-.f64 (+.f64 (.f64 -5 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (+.f64 1/2 (+.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (+.f64 (.f64 6 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (.f64 -5/2 (/.f64 (exp.f64 (.f64 -1 x)) eps)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) 1/2) (.f64 (exp.f64 (.f64 -1 x)) (.f64 1/2 x)))) (+.f64 1/2 (+.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) 1/2) (.f64 (exp.f64 (.f64 -1 x)) (.f64 1/2 x))) 6) (.f64 -5/2 (/.f64 (exp.f64 (.f64 -1 x)) eps)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (+.f64 (+.f64 (.f64 3 (/.f64 (exp.f64 (neg.f64 x)) eps)) (+.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 1/2 (.f64 x 1/2))) 6) (.f64 (exp.f64 (neg.f64 x)) (/.f64 -5/2 eps)))) (.f64 -5 (.f64 (exp.f64 (neg.f64 x)) (+.f64 1/2 (.f64 x 1/2)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 6 (+.f64 1/2 (.f64 x 1/2)))) (.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) 1/2)) (+.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 -5 (+.f64 1/2 (.f64 x 1/2)))))) (.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 -5 (+.f64 1/2 (.f64 x 1/2)))) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (/.f64 1/2 eps)) (+.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 6 (+.f64 1/2 (.f64 x 1/2))))))) (.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1/2 eps) (.f64 6 (+.f64 1/2 (.f64 x 1/2))))) (+.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 -5 (+.f64 1/2 (.f64 x 1/2)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 -5 (+.f64 1/2 (.f64 x 1/2))) (+.f64 (/.f64 1/2 eps) (.f64 6 (+.f64 1/2 (.f64 x 1/2))))))) (.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (+.f64 1/2 (+.f64 (.f64 eps (+.f64 (.f64 6 (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))) (.f64 -5 (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))))) (+.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (+.f64 (.f64 6 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (.f64 -5/2 (/.f64 (exp.f64 (.f64 -1 x)) eps))))))) (.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) 1/2) (.f64 (exp.f64 (.f64 -1 x)) (.f64 1/2 x)))) (+.f64 1/2 (+.f64 (+.f64 (.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) 1/2) (.f64 (exp.f64 (.f64 -1 x)) (.f64 1/2 x))) 6) (.f64 -5/2 (/.f64 (exp.f64 (.f64 -1 x)) eps))) (+.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (.f64 eps (+.f64 (.f64 6 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 1/2 x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))) (.f64 -5 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 1/2 x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))))))))) (.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (+.f64 1/2 (.f64 eps (.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x 1/2)) (.f64 (exp.f64 (neg.f64 x)) (.f64 1/4 (pow.f64 x 2)))) 1))) (+.f64 (+.f64 (.f64 3 (/.f64 (exp.f64 (neg.f64 x)) eps)) (+.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 1/2 (.f64 x 1/2))) 6) (.f64 (exp.f64 (neg.f64 x)) (/.f64 -5/2 eps)))) (.f64 -5 (.f64 (exp.f64 (neg.f64 x)) (+.f64 1/2 (.f64 x 1/2)))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 6 (+.f64 1/2 (.f64 x 1/2)))) (.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) 1/2)) (+.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 x 1/2))) (.f64 eps 1)) (+.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 -5 (+.f64 1/2 (.f64 x 1/2))))))) (*.f64 1/2 (/.f64 1 eps)))
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(-.f64 (+.f64 (+.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (/.f64 1/2 eps) (.f64 6 (+.f64 1/2 (.f64 x 1/2)))))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 -5 (+.f64 1/2 (.f64 x 1/2))) (.f64 eps (+.f64 (.f64 x 1/2) (.f64 1/4 (pow.f64 x 2))))))) (.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 eps (+.f64 (.f64 x 1/2) (.f64 1/4 (pow.f64 x 2)))) (+.f64 (/.f64 1/2 eps) (.f64 6 (+.f64 1/2 (.f64 x 1/2)))))) (+.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (.f64 -5 (+.f64 1/2 (.f64 x 1/2)))))) (.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 1/2 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 -5 (+.f64 1/2 (.f64 x 1/2))) (+.f64 (.f64 eps (+.f64 (.f64 x 1/2) (.f64 1/4 (pow.f64 x 2)))) (+.f64 (/.f64 1/2 eps) (.f64 6 (+.f64 1/2 (.f64 x 1/2)))))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (+.f64 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -5 (+.f64 (.f64 1/12 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))) (.f64 6 (+.f64 (.f64 1/12 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))))) (+.f64 1/2 (+.f64 (.f64 eps (+.f64 (.f64 6 (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))) (.f64 -5 (+.f64 (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))))) (+.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (+.f64 (.f64 6 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x)))) (.f64 -5/2 (/.f64 (exp.f64 (.f64 -1 x)) eps)))))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) 1/2) (.f64 (exp.f64 (.f64 -1 x)) (.f64 1/2 x)))) (+.f64 (+.f64 (+.f64 (.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) 1/2) (.f64 (exp.f64 (.f64 -1 x)) (.f64 1/2 x))) 6) (.f64 -5/2 (/.f64 (exp.f64 (.f64 -1 x)) eps))) (+.f64 (.f64 3 (/.f64 (exp.f64 (.f64 -1 x)) eps)) (.f64 eps (+.f64 (.f64 6 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 1/2 x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))) (.f64 -5 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 1/2 x)) (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))))))))) (+.f64 1/2 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -5 (+.f64 (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 1/12 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))) (.f64 6 (+.f64 (.f64 1/4 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 1/12 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))))) (*.f64 1/2 (/.f64 1 eps)))
(-.f64 (+.f64 (.f64 -5 (.f64 (exp.f64 (neg.f64 x)) (+.f64 1/2 (.f64 x 1/2)))) (+.f64 1/2 (+.f64 (+.f64 (.f64 3 (/.f64 (exp.f64 (neg.f64 x)) eps)) (+.f64 (+.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 1/2 (.f64 x 1/2))) 6) (.f64 (exp.f64 (neg.f64 x)) (/.f64 -5/2 eps))) (.f64 eps (.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 x 1/2)) (.f64 (exp.f64 (neg.f64 x)) (.f64 1/4 (pow.f64 x 2)))) 1)))) (.f64 (pow.f64 eps 2) (.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 1/4 (pow.f64 x 2))) (.f64 (exp.f64 (neg.f64 x)) (.f64 1/12 (pow.f64 x 3)))) 1))))) (*.f64 1/2 (/.f64 1 eps)))
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eval870.0ms (3.6%)

Compiler: Compiled 38093 to 30311 computations (20.4% saved)

prune156.0ms (0.7%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	751	4	755
Fresh	3	3	6
Picked	1	0	1
Done	1	4	5
Total	756	11	767

Error

0.0b

Counts

767 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(/.f64 (-.f64 (+.f64 (.f64 -4 (exp.f64 (.f64 (+.f64 eps -1) x))) (+.f64 (.f64 1/2 (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))) (.f64 -7/2 (exp.f64 (.f64 (+.f64 eps -1) x))))) (.f64 -8 (exp.f64 (.f64 (+.f64 eps -1) x)))) (/.f64 eps eps))
✓	0.2b	(/.f64 (+.f64 x 1) (exp.f64 x))
	47.3b	(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (/.f64 (-.f64 2 x) eps))
	50.0b	(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (*.f64 x eps))
✓	17.7b	(-.f64 1/2 (.f64 -1/2 (exp.f64 (.f64 x eps))))
✓	0.2b	(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
	17.9b	(+.f64 1 (.f64 (.f64 eps x) 1/2))
	18.0b	(+.f64 1/2 (+.f64 (.f64 -5/2 (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 3 (exp.f64 (.f64 (-.f64 eps 1) x)))))
✓	61.9b	(.f64 1/2 (.f64 x eps))
	17.6b	1
	45.3b	0

Compiler

Compiled 173 to 136 computations (21.4% saved)

regimes55.0ms (0.2%)

Counts

28 → 1

Calls

Call 1

Inputs
0
1
(.f64 1/2 (.f64 x eps))
(+.f64 1 (.f64 (.f64 eps x) 1/2))
(+.f64 1 (.f64 (+.f64 -1 eps) (.f64 1/2 x)))
(-.f64 (-.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (-.f64 (/.f64 -1/2 eps) 1/2)))
(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (*.f64 x eps))
(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (/.f64 (-.f64 2 x) eps))
(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (+.f64 (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (+.f64 -1 (/.f64 1 eps))))
(+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)))) (.f64 -2 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 3)))))
(/.f64 (+.f64 x 1) (exp.f64 x))
(-.f64 1/2 (.f64 -1/2 (exp.f64 (.f64 x eps))))
(-.f64 1/2 (.f64 -1/2 (exp.f64 (.f64 (-.f64 eps 1) x))))
(.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 1/2 (.f64 1/2 x)) (.f64 -1 (+.f64 1/2 (.f64 1/2 x)))))
(-.f64 (-.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2)))
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(-.f64 (/.f64 x (exp.f64 x)) (/.f64 -1 (exp.f64 x)))
(+.f64 1/2 (+.f64 (.f64 -5/2 (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 3 (exp.f64 (.f64 (-.f64 eps 1) x)))))
(+.f64 1/2 (+.f64 (.f64 -1 (exp.f64 (.f64 (-.f64 eps 1) x))) (.f64 3/2 (exp.f64 (.f64 (-.f64 eps 1) x)))))
(-.f64 (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 1/2 eps) -1/2)) (/.f64 (-.f64 (/.f64 1/2 eps) 1/2) (exp.f64 (*.f64 x (+.f64 1 eps)))))
(-.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 (/.f64 -1/2 eps) -1/2)) (.f64 (exp.f64 (.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2)))
(/.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 1/2 (+.f64 (.f64 1/2 (/.f64 -1 eps)) (.f64 2 (.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)) -3)))
(+.f64 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (exp.f64 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5))) (.f64 (neg.f64 (exp.f64 (.f64 x (+.f64 -1 eps)))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 6)))
(+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 5)) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) -6))
(-.f64 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) x))) (.f64 -1 (+.f64 (.f64 1/2 (exp.f64 (.f64 -1 x))) (.f64 1/2 (.f64 (exp.f64 (*.f64 -1 x)) x)))))
(/.f64 (-.f64 (+.f64 (.f64 -4 (exp.f64 (.f64 (+.f64 eps -1) x))) (+.f64 (.f64 1/2 (exp.f64 (.f64 (+.f64 1 eps) (neg.f64 x)))) (.f64 -7/2 (exp.f64 (.f64 (+.f64 eps -1) x))))) (.f64 -8 (exp.f64 (.f64 (+.f64 eps -1) x)))) (/.f64 eps eps))
(/.f64 (-.f64 (+.f64 (+.f64 (.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (-.f64 1/2 (/.f64 1/2 eps))) (.f64 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps))) 7)) (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 8))) (.f64 4 (.f64 4 (.f64 (exp.f64 (.f64 (+.f64 eps -1) x)) (+.f64 -1/2 (/.f64 -1/2 eps)))))) (/.f64 eps eps))

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

Calls

4 calls:

17.0ms	eps
15.0ms	x
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)))))
3.0ms	(/.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
0.2b	1	`x`
0.2b	1	`eps`
0.2b	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)`
0.2b	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 716 to 555 computations (22.5% saved)

regimes23.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

Inputs
0
1
(.f64 1/2 (.f64 x eps))
(+.f64 1 (.f64 (.f64 eps x) 1/2))
(+.f64 1 (.f64 (+.f64 -1 eps) (.f64 1/2 x)))
(-.f64 (-.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (-.f64 (/.f64 -1/2 eps) 1/2)))
(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (*.f64 x eps))
(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (/.f64 (-.f64 2 x) eps))
(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (+.f64 (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (+.f64 -1 (/.f64 1 eps))))
(+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)))) (.f64 -2 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 3)))))
(/.f64 (+.f64 x 1) (exp.f64 x))
(-.f64 1/2 (.f64 -1/2 (exp.f64 (.f64 x eps))))
(-.f64 1/2 (.f64 -1/2 (exp.f64 (.f64 (-.f64 eps 1) x))))
(.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 1/2 (.f64 1/2 x)) (.f64 -1 (+.f64 1/2 (.f64 1/2 x)))))
(-.f64 (-.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (.f64 (exp.f64 (*.f64 x (+.f64 eps -1))) (-.f64 (/.f64 -1/2 eps) 1/2)))

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

Calls

2 calls:

8.0ms	eps
8.0ms	x

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`eps`

Compiler

Compiled 269 to 213 computations (20.8% saved)

regimes49.0ms (0.2%)

Accuracy

Total -62.0b remaining (-7109.5%)

Threshold costs -62.0b (-7109.5%)

Counts

10 → 2

Calls

Call 1

Inputs
0
1
(.f64 1/2 (.f64 x eps))
(+.f64 1 (.f64 (.f64 eps x) 1/2))
(+.f64 1 (.f64 (+.f64 -1 eps) (.f64 1/2 x)))
(-.f64 (-.f64 1/2 (.f64 1/2 (/.f64 1 eps))) (.f64 (+.f64 1 (*.f64 (-.f64 eps 1) x)) (-.f64 (/.f64 -1/2 eps) 1/2)))
(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (*.f64 x eps))
(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (/.f64 (-.f64 2 x) eps))
(-.f64 (+.f64 (-.f64 -1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -3))) (+.f64 (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) -2)) (+.f64 -1 (/.f64 1 eps))))
(+.f64 (+.f64 (+.f64 1 (/.f64 -1 eps)) (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 5)))) (.f64 -2 (+.f64 (+.f64 1/2 (.f64 1/2 (/.f64 -1 eps))) (.f64 (+.f64 1 (.f64 x (+.f64 -1 eps))) (*.f64 (+.f64 -1/2 (/.f64 -1/2 eps)) 3)))))

Outputs
1
0

Calls

2 calls:

33.0ms	eps
11.0ms	x

Results

Error	Segments	Branch
0.9b	2	`x`
16.1b	3	`eps`

Compiler

Compiled 208 to 166 computations (20.2% saved)

bsearch60.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
59.0ms	0.791130812718368	7491.005411685088

Results

27.0ms	56×	body	1024	valid
11.0ms	37×	body	512	valid
7.0ms	41×	body	256	infinite
7.0ms	9×	body	2048	valid
6.0ms	26×	body	256	valid

Compiler

Compiled 100 to 93 computations (7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	54

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 x 1) (exp.f64 x))
(if (<=.f64 x 360) 1 0)
0

Outputs
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 x 1) (exp.f64 x))
(if (<=.f64 x 360) 1 0)
0

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness808.0ms (3.4%)

Algorithm

4×	egg-herbie

Rules

1904×	`rational_best-simplify-46`
1620×	`rational_best-simplify-53`
1538×	`rational_best-simplify-39`
1338×	`rational_best-simplify-2`
1320×	`rational_best-simplify-47`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	47	89
2	72	87
3	119	83
4	169	79
5	219	75
6	242	75
7	256	75
8	279	75
9	323	75
10	493	75
11	960	75
12	1807	75
13	3956	75
14	6117	75
15	6344	75
16	6545	75
17	6750	75
0	671	45161
1	1495	37935
2	3041	32965
3	4666	32119
4	6909	31921
0	125	1847
1	244	1835
2	383	1827
3	629	1827
4	1063	1477
5	2671	1465
6	5505	1437
7	7748	1437
0	284	5119
1	543	5009
2	850	4249
3	1249	4221
4	2216	3921
5	3315	3727
6	5599	3727
7	7481	3657

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 517 to 384 computations (25.7% saved)

end88.0ms (0.4%)

Compiler: Compiled 23 to 16 computations (30.4% saved)