Details

sample80.0ms

Algorithm

intervals

Results

32.0ms	80×	body	1280	valid
17.0ms	79×	body	10240	exit
10.0ms	46×	body	640	valid
3.0ms	93×	body	80	valid
3.0ms	25×	body	320	valid
1.0ms	12×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (exp x) (- (exp x) 1.0))
3.8b	(- (exp x) 1.0)

rewrite37.0ms

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` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 51

Calls

2 calls:

22.0ms	(/ (exp x) (- (exp x) 1.0))
12.0ms	(- (exp x) 1.0)

series81.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (exp x) (- (exp x) 1.0))
27.0ms	(- (exp x) 1.0)

simplify1.2s

Counts

57 → 57

Iterations

Iter	Nodes
done	5002
3	1479
2	540
1	191
0	91

prune252.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 1 expressions with local error:

0.3b	(* 1/12 x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

12.0ms

(* 1/12 x)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(* 1/12 x)

simplify1.6s

Counts

21 → 21

Iterations

Iter	Nodes
done	5000
6	1597
5	756
4	504
3	266
2	120
1	63
0	30

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (exp x))
0.3b	(cbrt (exp x))
0.3b	(cbrt (exp x))
3.8b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`cbrt-prod`
7×	`add-cube-cbrt`
6×	`sqrt-prod` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `difference-of-squares`
3×	`pow1/3`
2×	`distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 51

Calls

4 calls:

3.0ms	(cbrt (exp x))
3.0ms	(cbrt (exp x))
3.0ms	(cbrt (exp x))
31.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series434.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (exp x))
120.0ms	(cbrt (exp x))
122.0ms	(cbrt (exp x))
47.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify2.6s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
5	2013
4	809
3	429
2	217
1	111
0	60

prune320.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize72.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (exp x))
0.3b	(cbrt (exp x))
0.3b	(cbrt (exp x))
3.8b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`cbrt-prod`
7×	`add-cube-cbrt`
6×	`sqrt-prod` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `difference-of-squares`
3×	`pow1/3`
2×	`distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 51

Calls

4 calls:

2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))
12.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series433.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (exp x))
136.0ms	(cbrt (exp x))
122.0ms	(cbrt (exp x))
60.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify2.2s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
5	2013
4	809
3	429
2	217
1	111
0	60

prune342.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes74.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 21.1b

bsearch1.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	33
1	33
0	25

end0.0ms

sample2.5s

Algorithm

intervals

Results

746.0ms	2243×	body	1280	valid
624.0ms	2546×	body	10240	exit
486.0ms	820×	body	320	valid
324.0ms	1710×	body	640	valid
91.0ms	2822×	body	80	valid
29.0ms	406×	body	160	valid