Details

analyze267.0ms (1.2%)

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)

sample7.4s (34.2%)

Results

3.4s	2119×	body	1024	valid
2.1s	4887×	body	256	valid
1.2s	1015×	body	512	valid
354.0ms	235×	body	2048	valid
140.0ms	498×	body	256	infinite
119.0ms	429×	body	256	unsamplable
8.0ms	9×	body	1024	infinite
4.0ms	8×	body	512	infinite

Bogosity

preprocess594.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

2336×	`rational.json-simplify-2`
2114×	`rational.json-simplify-43`
1810×	`rational.json-simplify-42`
1316×	`rational.json-simplify-1`
1204×	`rational.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	178
1	77	178
2	83	178
3	97	178
4	117	178
5	129	162
6	143	162
7	152	162
8	173	162
9	209	162
10	289	162
11	468	162
12	787	162
13	1555	162
14	1928	162
15	2245	162
16	2499	162
17	2649	162
18	2763	162
19	2829	162
20	2877	162
21	3139	162
22	3323	162
23	3367	162
24	3433	162
25	3517	162
26	3535	162
27	3553	162
28	3619	162
29	5499	162
30	6081	162
31	6617	162
32	7208	162
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify653.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2674×	`rational.json-simplify-2`
2620×	`rational.json-simplify-43`
1324×	`exponential.json-simplify-3`
1016×	`rational.json-simplify-1`
984×	`rational.json-simplify-42`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	43	89
2	46	89
3	53	89
4	63	89
5	69	81
6	79	81
7	83	81
8	98	81
9	118	81
10	160	81
11	256	81
12	434	81
13	843	81
14	1096	81
15	1391	81
16	1661	81
17	2026	81
18	2206	81
19	3025	81
20	3295	81
21	3489	81
22	3607	81
23	4029	81
24	4288	81
25	4463	81
26	4673	81
27	4759	81
28	4819	81
29	4877	81
30	4877	81
31	4877	81
32	5634	81
33	5803	81
34	5938	81
35	6198	81
36	6334	81
37	6570	81
38	7284	81

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval6.0ms (0%)

Compiler: Compiled 170 to 133 computations (21.8% saved)

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	1	7

Error

31.0b

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.0b	(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (+.f64 eps -1) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (-.f64 -1 eps) x)))) 2)

Compiler

Compiled 29 to 23 computations (20.7% saved)

localize108.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 -1 eps) x)
✓	0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (+.f64 eps -1) x)))
✓	0.0b	(*.f64 (+.f64 eps -1) x)
✓	2.7b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (+.f64 eps -1) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (-.f64 -1 eps) x))))

Compiler

Compiled 124 to 91 computations (26.6% saved)

series27.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (+.f64 eps -1) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (-.f64 -1 eps) x))))
4.0ms	x	@	0	(*.f64 (+.f64 eps -1) x)
2.0ms	eps	@	inf	(*.f64 (+.f64 eps -1) x)
2.0ms	eps	@	-inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (+.f64 eps -1) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (-.f64 -1 eps) x))))
2.0ms	x	@	inf	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (.f64 (+.f64 eps -1) x))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (-.f64 -1 eps) x))))

rewrite205.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`rational.json-5`
848×	`exponential.json-3`
848×	`rational.json-1`
848×	`rational.json-2`
848×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	136
1	162	136
2	489	136
3	1849	136
4	7437	136

Stop Event

1×	node limit

Counts

4 → 44

Calls

Call 1

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

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

simplify226.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1688×	`rational.json-simplify-47`
1538×	`rational.json-simplify-49`
890×	`rational.json-simplify-43`
878×	`rational.json-simplify-41`
868×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	255	7604
1	576	6836
2	1198	6576
3	3351	6206

Stop Event

1×	node limit

Counts

140 → 163

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (exp.f64 (.f64 -1 x))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (+.f64 (exp.f64 (.f64 -1 x)) (.f64 x (exp.f64 (.f64 -1 x)))) (+.f64 (.f64 -1 (.f64 x (exp.f64 (.f64 -1 x)))) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (.f64 x (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 3) 1/6)) (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 2) 1/2))) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 2) -1/2)) (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 3) -1/6))))))) (+.f64 (.f64 -1 (.f64 x (exp.f64 (.f64 -1 x)))) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 1/6 (pow.f64 x 3))) (.f64 (exp.f64 (neg.f64 x)) (.f64 1/2 (pow.f64 x 2)))) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 2) -1/2)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 3) -1/6))))) (+.f64 (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x))))
(-.f64 (+.f64 (.f64 x (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 eps 2) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 2) -1/2))))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x))))
(-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x)))) (.f64 (pow.f64 eps 2) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 3) -1/6)))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x))))
(-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (+.f64 (.f64 x (exp.f64 (.f64 -1 x))) (+.f64 (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 3) 1/6)) (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 2) 1/2))) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 2) -1/2)) (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 3) -1/6)))))) (.f64 (-.f64 (+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 5) 1/120)) (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 4) 1/24))) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 4) -1/24)) (.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4)))) (+.f64 (.f64 -1 (.f64 x (exp.f64 (.f64 -1 x)))) (.f64 -1 (exp.f64 (.f64 -1 x)))))
(-.f64 (+.f64 (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 1/6 (pow.f64 x 3))) (.f64 (exp.f64 (neg.f64 x)) (.f64 1/2 (pow.f64 x 2)))) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 2) -1/2)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 3) -1/6))))) (+.f64 (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x))))) (.f64 (-.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 1/120 (pow.f64 x 5))) (.f64 (exp.f64 (neg.f64 x)) (.f64 1/24 (pow.f64 x 4)))) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 4) -1/24)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 5) -1/120)))) (pow.f64 eps 4))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/120 (pow.f64 x 5)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 5) -1/120) (.f64 (pow.f64 x 4) -1/24)))) (pow.f64 eps 4)) (+.f64 (.f64 x (exp.f64 (neg.f64 x))) (.f64 (pow.f64 eps 2) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 2) -1/2)))))))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 x (exp.f64 (neg.f64 x))) (+.f64 (.f64 (pow.f64 eps 2) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 3) -1/6))))) (.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/120 (pow.f64 x 5))) (.f64 (pow.f64 x 5) -1/120))) (.f64 (exp.f64 (neg.f64 x)) (.f64 (pow.f64 x 4) -1/24))) (pow.f64 eps 4))))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x))))
(-.f64 (+.f64 (.f64 (pow.f64 eps 6) (-.f64 (+.f64 (.f64 1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7))) (.f64 1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6)))) (+.f64 (.f64 -1/720 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 6))) (.f64 -1/5040 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 7)))))) (+.f64 (.f64 (exp.f64 (.f64 -1 x)) x) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4)))) (+.f64 (.f64 -1/24 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 4))) (.f64 -1/120 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 5))))) (pow.f64 eps 4)) (+.f64 (exp.f64 (.f64 -1 x)) (.f64 (pow.f64 eps 2) (-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3))) (.f64 1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 2))) (.f64 -1/6 (.f64 (exp.f64 (.f64 -1 x)) (pow.f64 x 3)))))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (.f64 -1 x)) x)) (.f64 -1 (exp.f64 (*.f64 -1 x)))))
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eval488.0ms (2.3%)

Compiler: Compiled 7290 to 5463 computations (25.1% saved)

prune56.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	158	5	163
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	159	5	164

Error

0.0b

Counts

164 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.4b	(/.f64 (-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (-.f64 -1 eps) x)))) 2)
▶	45.3b	(/.f64 (-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 eps 1) x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (-.f64 -1 eps) x)))) 2)
▶	0.2b	(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (.f64 x (exp.f64 (neg.f64 x)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))) 2)
▶	0.9b	(/.f64 (-.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (neg.f64 (exp.f64 (.f64 x (-.f64 eps 1))))) 2)
▶	14.8b	(/.f64 2 2)

Compiler

Compiled 202 to 150 computations (25.7% saved)

localize39.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 74 to 23 computations (68.9% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite170.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`rational.json-simplify-47`
734×	`rational.json-simplify-54`
658×	`rational.json-simplify-50`
624×	`rational.json-simplify-49`
536×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	98	61
2	313	57
3	1165	57
4	4549	57

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

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

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

Outputs

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

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

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

simplify272.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1514×	`rational.json-simplify-49`
1084×	`rational.json-simplify-1`
832×	`rational.json-simplify-2`
690×	`rational.json-simplify-44`
632×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	2972
1	382	2638
2	763	2214
3	2039	2214
4	4851	2214

Stop Event

1×	node limit

Counts

104 → 126

Calls

Call 1

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

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

localize5.0ms (0%)

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

localize239.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1 eps) (+.f64 1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 eps 1) x))))
✓	0.0b	(*.f64 (-.f64 eps 1) x)
✓	0.2b	(.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 eps 1) x))
✓	3.8b	(-.f64 (+.f64 (/.f64 1 eps) (+.f64 1 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 eps 1) x)))) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (-.f64 -1 eps) x))))

Compiler

Compiled 157 to 117 computations (25.5% saved)

series11.0ms (0.1%)

Counts

4 → 63

Calls

24 calls:

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

rewrite154.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`rational.json-5`
970×	`exponential.json-3`
970×	`rational.json-1`
970×	`rational.json-2`
970×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	182
1	175	182
2	547	158
3	2089	158

Stop Event

1×	node limit

Counts

4 → 44

Calls

Call 1

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

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

simplify364.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1486×	`rational.json-simplify-47`
984×	`rational.json-simplify-1`
982×	`rational.json-simplify-2`
782×	`rational.json-simplify-42`
758×	`rational.json-simplify-54`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	206	5895
1	480	5453
2	1134	5129
3	2778	4907
4	7012	4725

Stop Event

1×	node limit

Counts

107 → 180

Calls

Call 1

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

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

localize206.0ms (1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 72 to 50 computations (30.6% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite135.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1902×	`rational.json-5`
1900×	`exponential.json-3`
1900×	`rational.json-1`
1900×	`rational.json-2`
1900×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	84	26
2	253	26
3	917	26
4	3643	26

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

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

Outputs

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

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

simplify205.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1732×	`rational.json-simplify-111`
958×	`rational.json-simplify-2`
710×	`rational.json-simplify-104`
648×	`rational.json-simplify-55`
524×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	918
1	71	856
2	178	856
3	499	856
4	1990	748
5	4486	748
6	7424	748

Stop Event

1×	node limit

Counts

60 → 30

Calls

Call 1

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

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

localize62.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 (neg.f64 x)) eps)
✓	0.0b	(.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (-.f64 -1 eps) x)))
	0.0b	(*.f64 (-.f64 -1 eps) x)
✓	4.1b	(-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (-.f64 -1 eps) x))))

Compiler

Compiled 89 to 54 computations (39.3% saved)

series14.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (-.f64 -1 eps) x))))
1.0ms	eps	@	0	(-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (-.f64 -1 eps) x))))
1.0ms	x	@	inf	(-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (-.f64 -1 eps) x))))
1.0ms	x	@	-inf	(-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (-.f64 -1 eps) x))))
1.0ms	eps	@	inf	(-.f64 (/.f64 (exp.f64 (neg.f64 x)) eps) (.f64 (+.f64 (/.f64 1 eps) -1) (exp.f64 (.f64 (-.f64 -1 eps) x))))

rewrite205.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`rational.json-simplify-47`
798×	`rational.json-simplify-49`
748×	`rational.json-5`
746×	`exponential.json-3`
746×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	105
1	145	105
2	444	105
3	1632	105
4	6476	105

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

Inputs

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

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

(/.f64 (exp.f64 (neg.f64 x)) eps)

Outputs

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simplify352.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1074×	`rational.json-simplify-2`
1044×	`rational.json-simplify-47`
972×	`rational.json-simplify-1`
822×	`rational.json-simplify-42`
706×	`rational.json-simplify-45`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	208	5092
1	474	4860
2	939	4500
3	2597	4268
4	7951	4248

Stop Event

1×	node limit

Counts

96 → 149

Calls

Call 1

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

eval984.0ms (4.6%)

Compiler: Compiled 15684 to 10184 computations (35.1% saved)

prune473.0ms (2.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	492	13	505
Fresh	0	0	0
Picked	1	0	1
Done	3	1	4
Total	496	14	510

Error

Counts

510 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	48.2b	(/.f64 (/.f64 0 eps) 2)
	14.5b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (.f64 (exp.f64 (.f64 x -2)) (exp.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))) 2)
▶	0.2b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (+.f64 1 (-.f64 -1 x)))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))) 2)
▶	0.2b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))) 2)
	14.5b	(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (exp.f64 (.f64 x -2)))) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (exp.f64 (.f64 x -2))))) (/.f64 (/.f64 1 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (exp.f64 (.f64 x -2)))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))) 2)
	40.4b	(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) x) (.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))) 2)
	15.0b	(/.f64 (-.f64 (.f64 x eps) (-.f64 -1 (exp.f64 (.f64 x (-.f64 -1 eps))))) 2)
	11.7b	(/.f64 (-.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (neg.f64 (exp.f64 (.f64 eps x)))) 2)
	14.7b	(/.f64 (-.f64 1 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))) 2)
▶	15.0b	(/.f64 (+.f64 1 (-.f64 (+.f64 (.f64 x eps) (neg.f64 (+.f64 x (neg.f64 x)))) (neg.f64 (exp.f64 (.f64 x (+.f64 -1 (neg.f64 eps))))))) 2)
	61.8b	(/.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 eps 1) x)) 2)
▶	40.4b	(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (+.f64 -1 (neg.f64 x)))) 2)
✓	14.8b	(/.f64 2 2)
▶	54.3b	(/.f64 1 2)

Compiler

Compiled 517 to 387 computations (25.1% saved)

localize62.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x 1) (exp.f64 (+.f64 1 (-.f64 -1 x))))
	0.0b	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))
✓	2.8b	(+.f64 1 (-.f64 -1 x))

Compiler

Compiled 90 to 59 computations (34.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite110.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1970×	`rational.json-5`
1968×	`rational.json-1`
1968×	`rational.json-2`
1968×	`rational.json-4`
1968×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	95	30
2	299	26
3	1024	26
4	3876	26

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify199.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1028×	`rational.json-simplify-2`
986×	`rational.json-simplify-111`
710×	`rational.json-simplify-1`
692×	`rational.json-simplify-49`
544×	`rational.json-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	650
1	134	650
2	281	650
3	671	650
4	2215	554
5	5159	554
6	7660	554

Stop Event

1×	node limit

Counts

50 → 40

Calls

Call 1

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

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

localize5.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize76.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 39 to 21 computations (46.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1954×	`rational.json-1`
1954×	`rational.json-2`
1954×	`rational.json-3`
1946×	`rational.json-5`
1944×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	91	25
2	293	21
3	1040	21
4	3944	21

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

Outputs

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

simplify221.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1544×	`rational.json-simplify-79`
976×	`rational.json-simplify-76`
966×	`rational.json-simplify-2`
962×	`rational.json-simplify-47`
954×	`rational.json-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	463
1	85	463
2	147	463
3	316	463
4	1095	463
5	2389	463
6	4981	463
7	6718	463

Stop Event

1×	node limit

Counts

19 → 19

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

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

localize69.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.0b

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

✓

0.0b

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

Compiler

Compiled 117 to 49 computations (58.1% saved)

series7.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite177.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`rational.json-simplify-47`
832×	`rational.json-simplify-49`
718×	`rational.json-simplify-1`
710×	`rational.json-5`
708×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	137
1	171	97
2	513	85
3	1631	77
4	6214	77

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 (-.f64 -2 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (-.f64 -1 (exp.f64 (*.f64 x (-.f64 -1 eps)))) (-.f64 -1 (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x eps) (-.f64 -1 (exp.f64 (*.f64 x (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (-.f64 -1 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (+.f64 (-.f64 -2 (*.f64 x eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (neg.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (*.f64 -1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps)))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (*.f64 -1 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x eps) 1) (neg.f64 (exp.f64 (*.f64 x (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) 1) (neg.f64 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) 1) (+.f64 (-.f64 1 (*.f64 x eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) 1) (+.f64 (+.f64 1 (neg.f64 (*.f64 x eps))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 x eps) (exp.f64 (*.f64 x (-.f64 -1 eps)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x eps) -1) (+.f64 -1 (-.f64 -1 (exp.f64 (*.f64 x (-.f64 -1 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x eps) -1) (-.f64 0 (-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) -2) (-.f64 1 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) -2) (+.f64 1 (neg.f64 (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) (+.f64 (*.f64 x eps) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x eps) (+.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 -1 eps))) 1) (-.f64 -2 (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x eps) -2) (-.f64 1 (exp.f64 (*.f64 x (-.f64 -1 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (-.f64 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simplify559.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1166×	`rational.json-simplify-49`
1050×	`rational.json-simplify-2`
976×	`rational.json-simplify-1`
864×	`rational.json-simplify-54`
750×	`rational.json-simplify-50`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	213	5037
1	493	4699
2	1145	4699
3	3385	4699
4	7247	4227

Stop Event

1×	node limit

Counts

145 → 152

Calls

Call 1

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

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

localize45.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 67 to 33 computations (50.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite140.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`rational.json-1`
1784×	`rational.json-2`
1784×	`rational.json-3`
1782×	`rational.json-5`
1780×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	81	21
2	258	21
3	917	21
4	3565	21

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

Outputs

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

simplify206.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1546×	`rational.json-simplify-79`
976×	`rational.json-simplify-76`
966×	`rational.json-simplify-47`
960×	`rational.json-simplify-2`
954×	`rational.json-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	442
1	80	442
2	140	442
3	309	442
4	1085	442
5	2377	442
6	4977	442
7	6700	442

Stop Event

1×	node limit

Counts

18 → 21

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

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

eval249.0ms (1.2%)

Compiler: Compiled 7091 to 4516 computations (36.3% saved)

prune125.0ms (0.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	310	8	318
Fresh	3	5	8
Picked	1	0	1
Done	3	2	5
Total	317	15	332

Error

Counts

332 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.2b	(/.f64 (/.f64 0 eps) 2)
	15.0b	(/.f64 (-.f64 (-.f64 -1 (-.f64 -1 (.f64 x eps))) (-.f64 -1 (exp.f64 (.f64 x (-.f64 -1 eps))))) 2)
	15.0b	(/.f64 (-.f64 (+.f64 (.f64 x eps) (exp.f64 (.f64 x (-.f64 -1 eps)))) -1) 2)
	14.5b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (.f64 (exp.f64 (.f64 x -2)) (exp.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))) 2)
▶	0.2b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (+.f64 1 (-.f64 -1 x)))) (.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))) 2)
▶	0.2b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))) 2)
	40.4b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (neg.f64 x))) 2)
▶	14.7b	(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) -1) 2)
	14.5b	(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (exp.f64 (.f64 x -2)))) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (exp.f64 (.f64 x -2))))) (/.f64 (/.f64 1 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (exp.f64 (.f64 x -2)))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))) 2)
	11.7b	(/.f64 (-.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (neg.f64 (exp.f64 (.f64 eps x)))) 2)
▶	15.0b	(/.f64 (+.f64 1 (-.f64 (+.f64 (.f64 x eps) (neg.f64 (+.f64 x (neg.f64 x)))) (neg.f64 (exp.f64 (-.f64 (-.f64 0 (-.f64 -1 (.f64 x (-.f64 -1 eps)))) 1))))) 2)
	61.8b	(/.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 eps 1) x)) 2)
	47.9b	(/.f64 (*.f64 (exp.f64 (neg.f64 x)) x) 2)
✓	14.8b	(/.f64 2 2)
✓	54.3b	(/.f64 1 2)

Compiler

Compiled 548 to 418 computations (23.7% saved)

localize70.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))
	0.0b	(*.f64 (+.f64 x 1) (exp.f64 (+.f64 1 (-.f64 -1 x))))
	2.8b	(+.f64 1 (-.f64 -1 x))

Compiler

Compiled 83 to 57 computations (31.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite110.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1764×	`rational.json-1`
1764×	`rational.json-2`
1764×	`rational.json-3`
1762×	`rational.json-5`
1760×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	79	21
2	256	21
3	904	21
4	3497	21

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

Outputs

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

simplify242.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1298×	`rational.json-simplify-49`
954×	`rational.json-simplify-111`
922×	`rational.json-simplify-2`
920×	`rational.json-simplify-47`
866×	`rational.json-simplify-104`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	618
1	82	450
2	149	450
3	321	450
4	1090	402
5	2312	402
6	5628	402
7	7599	402

Stop Event

1×	node limit

Counts

18 → 30

Calls

Call 1

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

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

localize9.0ms (0%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

localize30.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 41 to 24 computations (41.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite113.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1994×	`rational.json-1`
1994×	`rational.json-2`
1994×	`rational.json-3`
1992×	`rational.json-5`
1990×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	96	27
2	288	27
3	1026	27
4	3985	27

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify242.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1398×	`rational.json-simplify-58`
936×	`rational.json-simplify-47`
696×	`rational.json-simplify-49`
628×	`exponential.json-simplify-26`
622×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	730
1	113	730
2	248	730
3	922	730
4	3531	730
5	5765	730

Stop Event

1×	node limit

Counts

26 → 29

Calls

Call 1

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

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

localize101.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (-.f64 (+.f64 (.f64 x eps) (neg.f64 (+.f64 x (neg.f64 x)))) (neg.f64 (exp.f64 (-.f64 (-.f64 0 (-.f64 -1 (.f64 x (-.f64 -1 eps)))) 1)))))
	0.0b	(*.f64 x (-.f64 -1 eps))
✓	0.0b	(-.f64 (+.f64 (.f64 x eps) (neg.f64 (+.f64 x (neg.f64 x)))) (neg.f64 (exp.f64 (-.f64 (-.f64 0 (-.f64 -1 (.f64 x (-.f64 -1 eps)))) 1))))
✓	4.1b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 x (-.f64 -1 eps)))) 1)

Compiler

Compiled 166 to 100 computations (39.8% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite208.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`rational.json-simplify-1`
834×	`rational.json-5`
832×	`exponential.json-3`
832×	`rational.json-1`
832×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	161
1	208	85
2	628	85
3	1896	77
4	7242	77

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 x (-.f64 -1 eps)))) 1)

(-.f64 (+.f64 (*.f64 x eps) (neg.f64 (+.f64 x (neg.f64 x)))) (neg.f64 (exp.f64 (-.f64 (-.f64 0 (-.f64 -1 (*.f64 x (-.f64 -1 eps)))) 1))))

(+.f64 1 (-.f64 (+.f64 (*.f64 x eps) (neg.f64 (+.f64 x (neg.f64 x)))) (neg.f64 (exp.f64 (-.f64 (-.f64 0 (-.f64 -1 (*.f64 x (-.f64 -1 eps)))) 1)))))

Outputs

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

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

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

simplify308.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1334×	`rational.json-simplify-49`
1250×	`rational.json-simplify-2`
1048×	`rational.json-simplify-54`
998×	`rational.json-simplify-1`
790×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	234	5142
1	539	4782
2	1285	4782
3	3453	4242
4	7866	4242

Stop Event

1×	node limit

Counts

156 → 169

Calls

Call 1

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

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

localize44.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 63 to 33 computations (47.6% saved)

eval323.0ms (1.5%)

Compiler: Compiled 8047 to 5201 computations (35.4% saved)

prune323.0ms (1.5%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	353	3	356
Fresh	1	7	8
Picked	0	1	1
Done	1	5	6
Total	355	16	371

Error

Counts

371 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	48.2b	(/.f64 (/.f64 0 eps) 2)
	15.0b	(/.f64 (-.f64 (-.f64 -1 (-.f64 -1 (.f64 x eps))) (-.f64 -1 (exp.f64 (.f64 x (-.f64 -1 eps))))) 2)
	15.0b	(/.f64 (-.f64 (+.f64 (.f64 x eps) (exp.f64 (.f64 x (-.f64 -1 eps)))) -1) 2)
	14.5b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (.f64 (exp.f64 (.f64 x -2)) (exp.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))) 2)
✓	0.2b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (+.f64 1 (-.f64 -1 x)))) (.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))) 2)
✓	0.2b	(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))) 2)
✓	14.7b	(/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) -1) 2)
	14.5b	(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (exp.f64 (.f64 x -2)))) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (exp.f64 (.f64 x -2))))) (/.f64 (/.f64 1 (.f64 (exp.f64 (neg.f64 x)) (+.f64 x 1))) (.f64 (-.f64 -1 x) (.f64 (-.f64 -1 x) (exp.f64 (.f64 x -2)))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 -1 (neg.f64 x)))) 2)
	40.4b	(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 x)) x) (.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))) 2)
	11.7b	(/.f64 (-.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (neg.f64 (exp.f64 (.f64 eps x)))) 2)
	15.0b	(/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) 2)
	15.0b	(/.f64 (+.f64 1 (-.f64 (+.f64 (.f64 x eps) (neg.f64 (+.f64 x (neg.f64 x)))) (neg.f64 (exp.f64 (+.f64 (+.f64 (.f64 x (-.f64 -1 eps)) 1) -1))))) 2)
	61.8b	(/.f64 (.f64 (+.f64 (/.f64 1 eps) 1) (.f64 (-.f64 eps 1) x)) 2)
	47.9b	(/.f64 (*.f64 (exp.f64 (neg.f64 x)) x) 2)
✓	14.8b	(/.f64 2 2)
✓	54.3b	(/.f64 1 2)

Compiler

Compiled 287 to 222 computations (22.6% saved)

regimes99.0ms (0.5%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	eps
29.0ms	x
9.0ms	(-.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)))))
7.0ms	(/.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 624 to 415 computations (33.5% saved)

regimes63.0ms (0.3%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	eps
23.0ms	x

Results

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

Compiler

Compiled 346 to 219 computations (36.7% saved)

regimes83.0ms (0.4%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

48.0ms	x
22.0ms	eps

Results

Error	Segments	Branch
0.9b	1	`x`
0.9b	1	`eps`

Compiler

Compiled 311 to 201 computations (35.4% saved)

regimes212.0ms (1%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

165.0ms	eps
34.0ms	x

Results

Error	Segments	Branch
0.9b	2	`x`
11.7b	1	`eps`

Compiler

Compiled 263 to 176 computations (33.1% saved)

bsearch107.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
107.0ms	0.24453585231237937	395879.8883034645

Results

58.0ms	64×	body	1024	valid
18.0ms	60×	body	256	valid
14.0ms	20×	body	512	valid
12.0ms	43×	body	256	infinite

Compiler

Compiled 261 to 209 computations (19.9% saved)

regimes61.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	x
18.0ms	eps

Results

Error	Segments	Branch
0.9b	2	`x`
14.7b	1	`eps`

Compiler

Compiled 234 to 160 computations (31.6% saved)

bsearch141.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
140.0ms	0.24453585231237937	395879.8883034645

Results

57.0ms	56×	body	1024	valid
40.0ms	52×	body	256	valid
17.0ms	31×	body	512	valid
15.0ms	54×	body	256	infinite
7.0ms	5×	body	2048	valid

Compiler

Compiled 234 to 200 computations (14.5% saved)

regimes33.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	x
10.0ms	eps

Results

Error	Segments	Branch
0.9b	2	`x`
14.8b	1	`eps`

Compiler

Compiled 59 to 45 computations (23.7% saved)

bsearch291.0ms (1.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
290.0ms	0.24453585231237937	395879.8883034645

Results

229.0ms	80×	body	1024	valid
19.0ms	57×	body	256	infinite
16.0ms	28×	body	512	valid
14.0ms	11×	body	2048	valid
7.0ms	25×	body	256	valid

Compiler

Compiled 216 to 191 computations (11.6% saved)

regimes30.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(/.f64 2 2)
(/.f64 (/.f64 0 eps) 2)

Calls

2 calls:

18.0ms	x
9.0ms	eps

Results

Error	Segments	Branch
1.0b	2	`x`
14.8b	1	`eps`

Compiler

Compiled 39 to 31 computations (20.5% saved)

bsearch114.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
113.0ms	0.24453585231237937	395879.8883034645

Results

63.0ms	69×	body	1024	valid
16.0ms	50×	body	256	valid
13.0ms	41×	body	256	infinite
13.0ms	22×	body	512	valid
4.0ms	3×	body	2048	valid

Compiler

Compiled 162 to 146 computations (9.9% saved)

regimes15.0ms (0.1%)

Accuracy

Total -39.5b remaining (-267.7%)

Threshold costs -39.5b (-267.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 1 2)
(/.f64 2 2)

Outputs
(/.f64 2 2)

Calls

2 calls:

7.0ms	x
6.0ms	eps

Results

Error	Segments	Branch
14.8b	1	`x`
14.8b	1	`eps`

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	355

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (+.f64 1 (-.f64 -1 x)))) (.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))) 2)
(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))) 2)
(/.f64 (-.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (neg.f64 (exp.f64 (.f64 x (-.f64 eps 1))))) 2)
(if (<=.f64 x 360) (/.f64 (-.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (neg.f64 (exp.f64 (.f64 eps x)))) 2) (/.f64 (/.f64 0 eps) 2))
(if (<=.f64 x 360) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) -1) 2) (/.f64 (/.f64 0 eps) 2))
(if (<=.f64 x 2) (/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) 2) (/.f64 (/.f64 0 eps) 2))
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 (/.f64 0 eps) 2))
(/.f64 2 2)
(/.f64 1 2)

Outputs
(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (+.f64 1 (-.f64 -1 x)))) (.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))) 2)
(/.f64 (-.f64 (.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (-.f64 -1 x))) 2)
(/.f64 (-.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (neg.f64 (exp.f64 (.f64 x (-.f64 eps 1))))) 2)
(if (<=.f64 x 360) (/.f64 (-.f64 (exp.f64 (.f64 x (-.f64 -1 eps))) (neg.f64 (exp.f64 (.f64 eps x)))) 2) (/.f64 (/.f64 0 eps) 2))
(if (<=.f64 x 360) (/.f64 (-.f64 (*.f64 (+.f64 x 1) (exp.f64 (neg.f64 x))) -1) 2) (/.f64 (/.f64 0 eps) 2))
(if (<=.f64 x 2) (/.f64 (+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) 2) (/.f64 (/.f64 0 eps) 2))
(if (<=.f64 x 360) (/.f64 2 2) (/.f64 (/.f64 0 eps) 2))
(if (<=.f64 x 360) 1 (/.f64 (/.f64 0 eps) 2))
(/.f64 2 2)
1
(/.f64 1 2)
1/2

Compiler

Compiled 144 to 115 computations (20.1% saved)

soundness1.8s (8.4%)

Algorithm

4×	egg-herbie

Rules

2674×	`rational.json-simplify-2`
2620×	`rational.json-simplify-43`
1688×	`rational.json-simplify-47`
1538×	`rational.json-simplify-49`
1514×	`rational.json-simplify-49`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	43	89
2	46	89
3	53	89
4	63	89
5	69	81
6	79	81
7	83	81
8	98	81
9	118	81
10	160	81
11	256	81
12	434	81
13	843	81
14	1096	81
15	1391	81
16	1661	81
17	2026	81
18	2206	81
19	3025	81
20	3295	81
21	3489	81
22	3607	81
23	4029	81
24	4288	81
25	4463	81
26	4673	81
27	4759	81
28	4819	81
29	4877	81
30	4877	81
31	4877	81
32	5634	81
33	5803	81
34	5938	81
35	6198	81
36	6334	81
37	6570	81
38	7284	81
0	255	7604
1	576	6836
2	1198	6576
3	3351	6206
0	177	2972
1	382	2638
2	763	2214
3	2039	2214
4	4851	2214
0	177	2972
1	382	2638
2	763	2214
3	2039	2214
4	4851	2214

Stop Event

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

Compiler

Compiled 708 to 470 computations (33.6% saved)

end89.0ms (0.4%)

Compiler: Compiled 128 to 95 computations (25.8% saved)