Details

sample82.0ms

Algorithm

intervals

Results

25.0ms	108×	body	10240	exit
23.0ms	70×	body	1280	valid
11.0ms	54×	body	640	valid
4.0ms	27×	body	320	valid
4.0ms	94×	body	80	valid
1.0ms	11×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	8	7
done	8	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
3.1b	(- (exp x) 1.0)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

42.0ms	(/ (exp x) (- (exp x) 1.0))
11.0ms	(- (exp x) 1.0)

series49.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (exp x) (- (exp x) 1.0))
18.0ms	(- (exp x) 1.0)

simplify2.3s

Counts

57 → 57

Iterations

Useful iterations: 4 (844.0ms)

Iter	Nodes	Cost
0	91	640
1	181	614
2	410	579
3	804	577
4	2199	576
done	5000	576

prune166.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
0.0b	(+ (* 1/12 x) (/ 1 x))
0.3b	(* 1/12 x)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

48.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
23.0ms	(+ (* 1/12 x) (/ 1 x))
10.0ms	(* 1/12 x)

series102.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
55.0ms	(+ (* 1/12 x) (/ 1 x))
21.0ms	(* 1/12 x)

simplify1.5s

Counts

52 → 52

Iterations

Useful iterations: 3 (537.0ms)

Iter	Nodes	Cost
0	73	503
1	204	450
2	573	424
3	1754	422
done	5000	422

prune102.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
3.0b	(- 1 (/ 1.0 (exp x)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 97

Calls

3 calls:

7.0ms	(/ 1.0 (exp x))
37.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
17.0ms	(- 1 (/ 1.0 (exp x)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ 1.0 (exp x))
62.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
59.0ms	(- 1 (/ 1.0 (exp x)))

simplify6.2s

Counts

106 → 106

Iterations

Useful iterations: 4 (4.3s)

Iter	Nodes	Cost
0	162	1303
1	310	1155
2	580	1099
3	1282	1094
4	4161	1092
done	5001	1092

prune234.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ 1 (sqrt (/ 1.0 (exp x)))))
0.0b	(/ 1.0 (exp x))
0.0b	(/ 1.0 (exp x))
2.6b	(- 1 (sqrt (/ 1.0 (exp x))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
35×	`times-frac`
30×	`add-cube-cbrt`
11×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
9×	`sqrt-prod` `associate-/l*`
8×	`distribute-lft-out`
6×	`add-log-exp` `difference-of-squares`
5×	`pow1`
4×	`div-exp`
3×	`cbrt-undiv` `frac-2neg` `clear-num` `div-inv`
2×	`associate-/r/` `distribute-lft-out--`
1×	`sub-neg` `rec-exp` `flip3--` `pow-flip` `flip3-+` `diff-log` `1-exp` `flip--` `flip-+` `inv-pow`

Counts

4 → 115

Calls

4 calls:

50.0ms	(/ 1 (+ 1 (sqrt (/ 1.0 (exp x)))))
11.0ms	(/ 1.0 (exp x))
11.0ms	(/ 1.0 (exp x))
39.0ms	(- 1 (sqrt (/ 1.0 (exp x))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(/ 1 (+ 1 (sqrt (/ 1.0 (exp x)))))
26.0ms	(/ 1.0 (exp x))
19.0ms	(/ 1.0 (exp x))
94.0ms	(- 1 (sqrt (/ 1.0 (exp x))))

simplify2.0s

Counts

127 → 127

Iterations

Useful iterations: 3 (959.0ms)

Iter	Nodes	Cost
0	173	1469
1	351	1318
2	805	1235
3	2466	1226
done	5000	1226

prune430.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

96.1% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 21.6b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	33
1	27	33
done	27	33

end0.0ms

sample2.9s

Algorithm

intervals

Results

861.0ms	2611×	body	10240	exit
768.0ms	2244×	body	1280	valid
759.0ms	1654×	body	640	valid
107.0ms	2886×	body	80	valid
100.0ms	770×	body	320	valid
37.0ms	447×	body	160	valid