Details

sample60.0ms

Algorithm

intervals

Results

29.0ms	87×	body	1280	valid
11.0ms	51×	body	640	valid
7.0ms	168×	body	80	valid
5.0ms	30×	body	320	valid
1.0ms	9×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
3	19
2	16
1	14
0	5

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (expm1 x) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `expm1-udef` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

4.0ms

(/ (expm1 x) x)

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(/ (expm1 x) x)

simplify697.0ms

Counts

34 → 34

Iterations

Iter	Nodes
done	2005
3	1422
2	371
1	133
0	68

prune113.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (expm1 x))
0.0b	(/ 1 (/ x (expm1 x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 109

Calls

2 calls:

7.0ms	(/ x (expm1 x))
15.0ms	(/ 1 (/ x (expm1 x)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ x (expm1 x))
55.0ms	(/ 1 (/ x (expm1 x)))

simplify618.0ms

Counts

115 → 115

Iterations

Iter	Nodes
done	2001
2	1247
1	412
0	172

prune259.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ (expm1 x) x)) (cbrt (/ (expm1 x) x)))
0.2b	(cbrt (/ (expm1 x) x))
0.2b	(cbrt (/ (expm1 x) x))
0.2b	(cbrt (/ (expm1 x) x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 156

Calls

4 calls:

11.0ms	(* (cbrt (/ (expm1 x) x)) (cbrt (/ (expm1 x) x)))
1.0ms	(cbrt (/ (expm1 x) x))
1.0ms	(cbrt (/ (expm1 x) x))
1.0ms	(cbrt (/ (expm1 x) x))

series645.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (cbrt (/ (expm1 x) x)) (cbrt (/ (expm1 x) x)))
162.0ms	(cbrt (/ (expm1 x) x))
133.0ms	(cbrt (/ (expm1 x) x))
172.0ms	(cbrt (/ (expm1 x) x))

simplify985.0ms

Counts

168 → 168

Iterations

Iter	Nodes
done	2000
3	1758
2	759
1	332
0	172

prune679.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	5

end0.0ms

sample2.6s

Algorithm

intervals

Results

956.0ms	2323×	body	1280	valid
807.0ms	1653×	body	640	valid
413.0ms	5420×	body	80	valid
176.0ms	828×	body	320	valid
87.0ms	439×	body	160	valid