Details

sample39.0ms

Algorithm

intervals

Results

12.0ms	71×	body	1280	valid
7.0ms	75×	body	10240	exit
6.0ms	56×	body	640	valid
2.0ms	33×	body	320	valid
2.0ms	85×	body	80	valid
0.0ms	11×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
3.1b	(- (exp x) 1.0)

rewrite30.0ms

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:

18.0ms	(/ (exp x) (- (exp x) 1.0))
10.0ms	(- (exp x) 1.0)

series46.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (exp x) (- (exp x) 1.0))
18.0ms	(- (exp x) 1.0)

simplify1.6s

Counts

57 → 57

Iterations

Useful iterations: 4 (579.0ms)

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

prune113.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/12 x) (/ 1 x))
0.4b	(* 1/12 x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

12.0ms	(+ (* 1/12 x) (/ 1 x))
7.0ms	(* 1/12 x)

series59.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* 1/12 x) (/ 1 x))
15.0ms	(* 1/12 x)

simplify1.6s

Counts

35 → 35

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	51	269
1	133	247
2	315	225
3	659	225
4	1942	225
done	5000	225

prune60.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
3.1b	(- 1 (/ 1.0 (exp x)))

rewrite61.0ms

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:

6.0ms	(/ 1.0 (exp x))
35.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
16.0ms	(- 1 (/ 1.0 (exp x)))

series100.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ 1.0 (exp x))
51.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
35.0ms	(- 1 (/ 1.0 (exp x)))

simplify3.8s

Counts

106 → 106

Iterations

Useful iterations: 4 (2.6s)

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

prune137.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))))
0.0b	(/ (sqrt 1.0) (sqrt (exp x)))
0.0b	(/ (sqrt 1.0) (sqrt (exp x)))
3.2b	(- 1 (/ (sqrt 1.0) (sqrt (exp x))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt` `times-frac` `sqrt-prod`
84×	`*-un-lft-identity`
69×	`add-cube-cbrt`
16×	`associate-/r*`
15×	`associate-/l*`
12×	`add-exp-log`
10×	`add-cbrt-cube` `difference-of-squares`
6×	`add-log-exp`
5×	`pow1`
4×	`div-exp` `distribute-lft-out`
3×	`cbrt-undiv` `frac-2neg` `clear-num` `div-inv`
2×	`sqrt-undiv` `associate-/r/`
1×	`sub-neg` `rec-exp` `flip3--` `pow-flip` `flip3-+` `diff-log` `1-exp` `flip--` `flip-+` `distribute-lft-out--` `inv-pow`

Counts

4 → 182

Calls

4 calls:

45.0ms	(/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))))
10.0ms	(/ (sqrt 1.0) (sqrt (exp x)))
10.0ms	(/ (sqrt 1.0) (sqrt (exp x)))
28.0ms	(- 1 (/ (sqrt 1.0) (sqrt (exp x))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))))
52.0ms	(/ (sqrt 1.0) (sqrt (exp x)))
50.0ms	(/ (sqrt 1.0) (sqrt (exp x)))
68.0ms	(- 1 (/ (sqrt 1.0) (sqrt (exp x))))

simplify1.6s

Counts

194 → 194

Iterations

Useful iterations: 3 (747.0ms)

Iter	Nodes	Cost
0	195	2768
1	375	2447
2	863	2363
3	2742	2352
done	5001	2352

prune358.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

96.2% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 21.0b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	35
1	28	35
done	28	35

end0.0ms

sample1.1s

Algorithm

intervals

Results

399.0ms	2337×	body	1280	valid
247.0ms	2426×	body	10240	exit
170.0ms	1647×	body	640	valid
53.0ms	809×	body	320	valid
51.0ms	2801×	body	80	valid
17.0ms	409×	body	160	valid