Details

sample42.0ms

Algorithm

intervals

Results

13.0ms	77×	body	1280	valid
10.0ms	103×	body	10240	exit
6.0ms	58×	body	640	valid
2.0ms	21×	body	320	valid
2.0ms	85×	body	80	valid
1.0ms	15×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 42.4b

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
3.9b	(- (exp x) 1.0)

rewrite14.0ms

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:

8.0ms	(/ (exp x) (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)

series45.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (exp x) (- (exp x) 1.0))
19.0ms	(- (exp x) 1.0)

simplify951.0ms

Counts

57 → 57

Iterations

Useful iterations: done (949.0ms)

Iter	Nodes	Cost
0	91	640
1	181	614
2	461	579
3	1780	577
done	5001	576

prune130.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

20.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
3.0ms	(* 1/12 x)

series29.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
14.0ms	(* 1/12 x)

simplify835.0ms

Counts

38 → 38

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	59	337
1	153	311
2	440	287
3	1496	287
done	5000	287

prune66.0ms

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))))
3.9b	(- 1 (/ 1.0 (exp x)))

rewrite36.0ms

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:

3.0ms	(/ 1.0 (exp x))
21.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
9.0ms	(- 1 (/ 1.0 (exp x)))

series102.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ 1.0 (exp x))
52.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
36.0ms	(- 1 (/ 1.0 (exp x)))

simplify2.4s

Counts

106 → 106

Iterations

Useful iterations: 3 (834.0ms)

Iter	Nodes	Cost
0	162	1303
1	310	1155
2	908	1099
3	3900	1094
done	5000	1094

prune164.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (exp x) (log (exp (- (exp x) 1.0))))
3.9b	(log (exp (- (exp x) 1.0)))
3.9b	(- (exp x) 1.0)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 85

Calls

3 calls:

20.0ms	(/ (exp x) (log (exp (- (exp x) 1.0))))
12.0ms	(log (exp (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)

series60.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (exp x) (log (exp (- (exp x) 1.0))))
14.0ms	(log (exp (- (exp x) 1.0)))
15.0ms	(- (exp x) 1.0)

simplify1.0s

Counts

94 → 94

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	137	1170
1	233	972
2	526	926
3	1803	916
done	5000	915

prune170.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

96.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.3b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	23
1	22	23
done	22	23

end0.0ms

sample1.1s

Algorithm

intervals

Results

382.0ms	2234×	body	1280	valid
281.0ms	2651×	body	10240	exit
180.0ms	1657×	body	640	valid
57.0ms	840×	body	320	valid
53.0ms	2847×	body	80	valid
19.0ms	425×	body	160	valid