Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	60×	body	1280	valid
8.0ms	80×	body	10240	exit
6.0ms	60×	body	640	valid
2.0ms	100×	body	80	valid
2.0ms	25×	body	320	valid
0.0ms	11×	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: 40.3b

localize4.0ms

Local error

Found 2 expressions with local error:

1.5b	(/ (exp x) (- (exp x) 1.0))
4.0b	(- (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)

series47.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (exp x) (- (exp x) 1.0))
16.0ms	(- (exp x) 1.0)

simplify2.0s

Counts

57 → 57

Iterations

Useful iterations: 4 (703.0ms)

Iter	Nodes	Cost
0	91	640
1	181	614
2	422	579
3	925	577
4	2528	576
done	5000	576

prune126.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:

6.0ms	(+ (* 1/12 x) (/ 1 x))
3.0ms	(* 1/12 x)

series53.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* 1/12 x) (/ 1 x))
13.0ms	(* 1/12 x)

simplify2.4s

Counts

35 → 35

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	51	269
1	133	247
2	299	225
3	673	225
4	1502	225
done	5000	225

prune54.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (exp x))
4.0b	(- 1 (/ 1.0 (exp x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
11×	`times-frac`
10×	`add-cube-cbrt`
4×	`add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out--`

Counts

2 → 44

Calls

2 calls:

3.0ms	(/ 1.0 (exp x))
8.0ms	(- 1 (/ 1.0 (exp x)))

series53.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(/ 1.0 (exp x))
39.0ms	(- 1 (/ 1.0 (exp x)))

simplify3.6s

Counts

50 → 50

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	93	483
1	193	447
2	440	424
3	1174	420
4	3487	418
done	5000	418

prune88.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 22.1b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	19	35
1	27	28
done	27	28

end0.0ms

sample1.1s

Algorithm

intervals

Results

367.0ms	2203×	body	1280	valid
289.0ms	2578×	body	10240	exit
178.0ms	1656×	body	640	valid
57.0ms	2951×	body	80	valid
57.0ms	798×	body	320	valid
17.0ms	392×	body	160	valid