Details

sample99.0ms

Algorithm

intervals

Results

28.0ms	74×	body	1280	valid
20.0ms	78×	body	10240	exit
15.0ms	91×	body	80	valid
14.0ms	56×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	13×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
4.4b	(- (exp x) 1.0)

rewrite61.0ms

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:

36.0ms	(/ (exp x) (- (exp x) 1.0))
22.0ms	(- (exp x) 1.0)

series90.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (exp x) (- (exp x) 1.0))
26.0ms	(- (exp x) 1.0)

simplify2.6s

Counts

57 → 57

Iterations

Useful iterations: 4 (919.0ms)

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

prune235.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (exp x) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x))
0.1b	(* (pow x 2) (+ (* 1/6 x) 1/2))
0.4b	(* 1/6 x)

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `associate-l`
9×	`times-frac` `add-cbrt-cube`
6×	`associate-r`
5×	`pow1` `unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`associate-/r` `associate-/l` `add-log-exp`
2×	`flip3-+` `associate-r/` `associate-/r/` `-commutative` `cbrt-unprod` `flip-+` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `div-inv`

Counts

3 → 78

Calls

3 calls:

59.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x))
62.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
15.0ms	(* 1/6 x)

series183.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* 1/6 x) 1/2)) x))
107.0ms	(* (pow x 2) (+ (* 1/6 x) 1/2))
21.0ms	(* 1/6 x)

simplify1.6s

Counts

87 → 87

Iterations

Useful iterations: 2 (337.0ms)

Iter	Nodes	Cost
0	160	1282
1	402	1204
2	1257	1109
done	5000	1109

prune340.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

13.0ms	(+ (* 1/12 x) (/ 1 x))
7.0ms	(* 1/12 x)

series94.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (* 1/12 x) (/ 1 x))
28.0ms	(* 1/12 x)

simplify3.0s

Counts

35 → 35

Iterations

Useful iterations: 2 (79.0ms)

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

prune98.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
4.4b	(- 1 (/ 1.0 (exp x)))

rewrite121.0ms

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:

19.0ms	(/ 1.0 (exp x))
62.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
33.0ms	(- 1 (/ 1.0 (exp x)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(/ 1.0 (exp x))
75.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
65.0ms	(- 1 (/ 1.0 (exp x)))

simplify6.2s

Counts

106 → 106

Iterations

Useful iterations: 4 (4.3s)

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

prune203.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes84.0ms

Accuracy

34.9% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.9b

bsearch1.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.3s	2246×	body	1280	valid
758.0ms	2555×	body	10240	exit
417.0ms	1636×	body	640	valid
110.0ms	2903×	body	80	valid
108.0ms	809×	body	320	valid
34.0ms	408×	body	160	valid