Details

sample59.0ms

Algorithm

intervals

Results

17.0ms	85×	body	10240	exit
14.0ms	59×	body	1280	valid
10.0ms	67×	body	640	valid
3.0ms	90×	body	80	valid
3.0ms	25×	body	320	valid
1.0ms	15×	body	160	valid

simplify5.0ms

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: 42.3b

localize7.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ (exp x) (- (exp x) 1.0))
4.8b	(- (exp x) 1.0)

rewrite64.0ms

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:

39.0ms	(/ (exp x) (- (exp x) 1.0))
22.0ms	(- (exp x) 1.0)

series81.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (exp x) (- (exp x) 1.0))
48.0ms	(- (exp x) 1.0)

simplify2.6s

Counts

57 → 57

Iterations

Useful iterations: 4 (1000.0ms)

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

prune191.0ms

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)

rewrite33.0ms

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:

16.0ms	(+ (* 1/12 x) (/ 1 x))
17.0ms	(* 1/12 x)

series78.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ (* 1/12 x) (/ 1 x))
16.0ms	(* 1/12 x)

simplify2.4s

Counts

35 → 35

Iterations

Useful iterations: 2 (101.0ms)

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

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 1 x) x)
0.2b	(* 1/144 (* x x))
0.4b	(* 1/12 x)
26.0b	(/ (- (* 1/144 (* x x)) (/ (/ 1 x) x)) (- (* 1/12 x) (/ 1 x)))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
60×	`add-sqr-sqrt`
57×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-exp-log`
18×	`add-cbrt-cube`
16×	`associate-/l*`
14×	`pow1`
7×	`div-exp`
6×	`associate-l` `associate-/r*` `div-inv`
4×	`cbrt-undiv` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`associate-/l/`
2×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `*-commutative` `flip--` `unswap-sqr` `pow-div`
1×	`rec-exp` `pow-flip` `1-exp` `div-sub` `inv-pow`

Counts

4 → 143

Calls

4 calls:

18.0ms	(/ (/ 1 x) x)
35.0ms	(* 1/144 (* x x))
15.0ms	(* 1/12 x)
175.0ms	(/ (- (* 1/144 (* x x)) (/ (/ 1 x) x)) (- (* 1/12 x) (/ 1 x)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (/ 1 x) x)
31.0ms	(* 1/144 (* x x))
20.0ms	(* 1/12 x)
218.0ms	(/ (- (* 1/144 (* x x)) (/ (/ 1 x) x)) (- (* 1/12 x) (/ 1 x)))

simplify1.8s

Counts

155 → 155

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	252	2139
1	575	1956
2	1431	1765
done	5000	1725

prune394.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
4.7b	(- 1 (/ 1.0 (exp x)))

rewrite109.0ms

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:

72.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
13.0ms	(/ 1.0 (exp x))
17.0ms	(- 1 (/ 1.0 (exp x)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
28.0ms	(/ 1.0 (exp x))
66.0ms	(- 1 (/ 1.0 (exp x)))

simplify6.4s

Counts

106 → 106

Iterations

Useful iterations: 4 (4.1s)

Iter	Nodes	Cost
0	162	1303
1	310	1155
2	578	1099
3	1280	1094
4	4151	1092
done	5000	1092

prune260.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes75.0ms

Accuracy

97.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 21.5b

bsearch1.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	40
1	33	40
done	33	40

end0.0ms

sample2.4s

Algorithm

intervals

Results

781.0ms	2464×	body	10240	exit
663.0ms	2186×	body	1280	valid
343.0ms	1693×	body	640	valid
150.0ms	839×	body	320	valid
97.0ms	2870×	body	80	valid
33.0ms	414×	body	160	valid