Details

sample68.0ms

Algorithm

intervals

Results

26.0ms	67×	body	1280	valid
12.0ms	65×	body	10240	exit
9.0ms	53×	body	640	valid
3.0ms	26×	body	320	valid
3.0ms	91×	body	80	valid
1.0ms	19×	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: 41.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
5.8b	(- (exp x) 1.0)

rewrite38.0ms

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:

22.0ms	(/ (exp x) (- (exp x) 1.0))
14.0ms	(- (exp x) 1.0)

series72.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (exp x) (- (exp x) 1.0))
18.0ms	(- (exp x) 1.0)

simplify2.3s

Counts

57 → 57

Iterations

Useful iterations: 4 (795.0ms)

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

prune179.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:

19.0ms	(+ (* 1/12 x) (/ 1 x))
8.0ms	(* 1/12 x)

series83.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ (* 1/12 x) (/ 1 x))
25.0ms	(* 1/12 x)

simplify2.7s

Counts

35 → 35

Iterations

Useful iterations: 2 (71.0ms)

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

prune89.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))
5.8b	(- 1 (/ 1.0 (exp x)))

rewrite92.0ms

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:

43.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
14.0ms	(/ 1.0 (exp x))
31.0ms	(- 1 (/ 1.0 (exp x)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
26.0ms	(/ 1.0 (exp x))
69.0ms	(- 1 (/ 1.0 (exp x)))

simplify6.6s

Counts

106 → 106

Iterations

Useful iterations: 4 (4.6s)

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

prune246.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt 1.0) (sqrt (exp x)))
0.0b	(/ (sqrt 1.0) (sqrt (exp x)))
0.0b	(/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))))
5.8b	(- 1 (/ (sqrt 1.0) (sqrt (exp x))))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt` `times-frac` `sqrt-prod`
84×	`*-un-lft-identity`
69×	`add-cube-cbrt`
16×	`associate-/r*`
15×	`associate-/l*`
12×	`add-exp-log`
10×	`add-cbrt-cube` `difference-of-squares`
6×	`add-log-exp`
5×	`pow1`
4×	`div-exp` `distribute-lft-out`
3×	`cbrt-undiv` `frac-2neg` `clear-num` `div-inv`
2×	`sqrt-undiv` `associate-/r/`
1×	`sub-neg` `rec-exp` `flip3--` `pow-flip` `flip3-+` `diff-log` `1-exp` `flip--` `flip-+` `distribute-lft-out--` `inv-pow`

Counts

4 → 182

Calls

4 calls:

10.0ms	(/ (sqrt 1.0) (sqrt (exp x)))
12.0ms	(/ (sqrt 1.0) (sqrt (exp x)))
76.0ms	(/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))))
57.0ms	(- 1 (/ (sqrt 1.0) (sqrt (exp x))))

series431.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (sqrt 1.0) (sqrt (exp x)))
76.0ms	(/ (sqrt 1.0) (sqrt (exp x)))
162.0ms	(/ 1 (+ 1 (/ (sqrt 1.0) (sqrt (exp x)))))
110.0ms	(- 1 (/ (sqrt 1.0) (sqrt (exp x))))

simplify2.8s

Counts

194 → 194

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	195	2768
1	375	2447
2	857	2363
3	2733	2352
done	5001	2352

prune570.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes80.0ms

Accuracy

95.5% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 21.3b

bsearch1.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	38
1	31	38
done	31	38

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	2529×	body	10240	exit
744.0ms	2222×	body	1280	valid
320.0ms	1633×	body	640	valid
161.0ms	2865×	body	80	valid
158.0ms	834×	body	320	valid
91.0ms	449×	body	160	valid