Details

sample39.0ms

Algorithm

intervals

Results

12.0ms	73×	body	1280	valid
9.0ms	90×	body	10240	exit
4.0ms	39×	body	640	valid
2.0ms	30×	body	320	valid
2.0ms	96×	body	80	valid
1.0ms	18×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4
done	8	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
5.3b	(- (exp x) 1.0)

rewrite28.0ms

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:

17.0ms	(/ (exp x) (- (exp x) 1.0))
10.0ms	(- (exp x) 1.0)

series47.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (exp x) (- (exp x) 1.0))
19.0ms	(- (exp x) 1.0)

simplify69.0ms

Counts

57 → 57

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	180	378
1	542	357
2	2210	354
3	5001	354
done	5001	354

prune126.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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))
10.0ms	(* 1/12 x)

series56.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* 1/12 x) (/ 1 x))
15.0ms	(* 1/12 x)

simplify69.0ms

Counts

35 → 35

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	130	119
1	448	110
2	2305	109
3	5001	109
done	5001	109

prune64.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
5.3b	(- 1 (/ 1.0 (exp x)))

rewrite57.0ms

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:

8.0ms	(/ 1.0 (exp x))
30.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
14.0ms	(- 1 (/ 1.0 (exp x)))

series105.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ 1.0 (exp x))
54.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
37.0ms	(- 1 (/ 1.0 (exp x)))

simplify37.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	310	724
1	1324	622
2	5002	621
done	5002	621

prune152.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1 (/ 1.0 (exp x))))
5.3b	(- 1 (/ 1.0 (exp x)))
5.3b	(- 1 (/ 1.0 (exp x)))
5.3b	(- 1 (/ 1.0 (exp x)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
16×	`difference-of-squares`
10×	`add-log-exp`
8×	`cbrt-prod` `times-frac`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 69

Calls

4 calls:

16.0ms	(cbrt (- 1 (/ 1.0 (exp x))))
15.0ms	(- 1 (/ 1.0 (exp x)))
15.0ms	(- 1 (/ 1.0 (exp x)))
14.0ms	(- 1 (/ 1.0 (exp x)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (- 1 (/ 1.0 (exp x))))
41.0ms	(- 1 (/ 1.0 (exp x)))
37.0ms	(- 1 (/ 1.0 (exp x)))
37.0ms	(- 1 (/ 1.0 (exp x)))

simplify86.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	203	587
1	632	526
2	2542	497
3	5001	497
done	5001	497

prune174.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes59.0ms

Accuracy

97.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.1b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	18
1	32	18
done	32	18

end0.0ms

sample1.1s

Algorithm

intervals

Results

380.0ms	2286×	body	1280	valid
275.0ms	2639×	body	10240	exit
174.0ms	1698×	body	640	valid
53.0ms	795×	body	320	valid
53.0ms	2834×	body	80	valid
17.0ms	388×	body	160	valid