Details

sample42.0ms

Algorithm

intervals

Results

14.0ms	77×	body	1280	valid
11.0ms	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

simplify3.0ms

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

localize7.0ms

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)

series40.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (exp x) (- (exp x) 1.0))
14.0ms	(- (exp x) 1.0)

simplify1.7s

Counts

57 → 57

Iterations

Useful iterations: 4 (614.0ms)

Iter	Nodes	Cost
0	91	640
1	181	614
2	422	579
3	927	577
4	2546	576
done	5001	576

prune124.0ms

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)

rewrite23.0ms

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:

19.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
3.0ms	(* 1/12 x)

series27.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
13.0ms	(* 1/12 x)

simplify806.0ms

Counts

38 → 38

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	59	337
1	153	311
2	382	287
3	1179	287
done	5001	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)))

rewrite35.0ms

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))
18.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
11.0ms	(- 1 (/ 1.0 (exp x)))

series99.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ 1.0 (exp x))
51.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
35.0ms	(- 1 (/ 1.0 (exp x)))

simplify3.7s

Counts

106 → 106

Iterations

Useful iterations: 4 (2.8s)

Iter	Nodes	Cost
0	162	1303
1	310	1155
2	599	1099
3	1439	1094
4	4913	1092
done	5000	1092

prune142.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- 1 (/ 1.0 (exp x))))
3.9b	(- 1 (/ 1.0 (exp x)))
3.9b	(- 1 (/ 1.0 (exp x)))
3.9b	(- 1 (/ 1.0 (exp x)))

rewrite34.0ms

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:

8.0ms	(cbrt (- 1 (/ 1.0 (exp x))))
8.0ms	(- 1 (/ 1.0 (exp x)))
8.0ms	(- 1 (/ 1.0 (exp x)))
8.0ms	(- 1 (/ 1.0 (exp x)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (- 1 (/ 1.0 (exp x))))
34.0ms	(- 1 (/ 1.0 (exp x)))
33.0ms	(- 1 (/ 1.0 (exp x)))
37.0ms	(- 1 (/ 1.0 (exp x)))

simplify1.1s

Counts

81 → 81

Iterations

Useful iterations: 3 (228.0ms)

Iter	Nodes	Cost
0	94	1052
1	203	977
2	475	912
3	1560	860
done	5000	860

prune172.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes49.0ms

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	20	41
1	26	41
done	26	41

end0.0ms

sample1.1s

Algorithm

intervals

Results

376.0ms	2234×	body	1280	valid
288.0ms	2651×	body	10240	exit
187.0ms	1657×	body	640	valid
57.0ms	840×	body	320	valid
56.0ms	2847×	body	80	valid
19.0ms	425×	body	160	valid