Details

sample81.0ms

Algorithm

intervals

Results

31.0ms	74×	body	1280	valid
21.0ms	60×	body	640	valid
10.0ms	165×	body	80	valid
6.0ms	29×	body	320	valid
2.0ms	12×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (expm1 x) x)

rewrite9.0ms

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:

8.0ms

(/ (expm1 x) x)

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

(/ (expm1 x) x)

simplify1.3s

Counts

34 → 34

Iterations

Iter	Nodes
done	2005
4	2005
3	1422
2	371
1	133
0	68

prune157.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (expm1 x) x)
0.1b	(* (/ (expm1 x) x) (* (/ (expm1 x) x) (/ (expm1 x) x)))
0.1b	(* (/ (expm1 x) x) (/ (expm1 x) x))
9.8b	(cbrt (* (/ (expm1 x) x) (* (/ (expm1 x) x) (/ (expm1 x) x))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
59×	`times-frac` `add-cbrt-cube` `add-exp-log`
47×	`*-un-lft-identity` `add-cube-cbrt`
26×	`associate-l`
25×	`pow1`
22×	`prod-exp` `cbrt-unprod`
18×	`cbrt-undiv` `div-exp`
14×	`associate-r`
13×	`swap-sqr`
11×	`frac-times` `associate-*r/`
7×	`cbrt-div` `associate-*l/`
6×	`pow-prod-up` `div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr` `*-commutative`
1×	`cbrt-prod` `clear-num` `frac-2neg` `pow1/3` `div-sub` `rem-cbrt-cube` `expm1-udef`

Counts

4 → 182

Calls

4 calls:

9.0ms	(/ (expm1 x) x)
35.0ms	(* (/ (expm1 x) x) (* (/ (expm1 x) x) (/ (expm1 x) x)))
13.0ms	(* (/ (expm1 x) x) (/ (expm1 x) x))
42.0ms	(cbrt (* (/ (expm1 x) x) (* (/ (expm1 x) x) (/ (expm1 x) x))))

series331.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ (expm1 x) x)
107.0ms	(* (/ (expm1 x) x) (* (/ (expm1 x) x) (/ (expm1 x) x)))
77.0ms	(* (/ (expm1 x) x) (/ (expm1 x) x))
79.0ms	(cbrt (* (/ (expm1 x) x) (* (/ (expm1 x) x) (/ (expm1 x) x))))

simplify1.1s

Counts

194 → 194

Iterations

Iter	Nodes
done	2004
2	2004
1	729
0	227

prune775.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (expm1 x) x)
0.1b	(/ (* (expm1 x) (* (/ (expm1 x) x) (/ (expm1 x) x))) x)
0.1b	(* (/ (expm1 x) x) (/ (expm1 x) x))
9.8b	(cbrt (/ (* (expm1 x) (* (/ (expm1 x) x) (/ (expm1 x) x))) x))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
55×	`times-frac`
44×	`*-un-lft-identity` `add-cube-cbrt`
43×	`add-cbrt-cube` `add-exp-log`
15×	`cbrt-undiv` `div-exp`
13×	`swap-sqr` `associate-r` `associate-l` `prod-exp` `cbrt-unprod`
11×	`pow1`
7×	`cbrt-prod` `div-inv`
6×	`associate-/r*`
5×	`associate-*r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
3×	`associate-/l/`
2×	`frac-times` `clear-num` `frac-2neg` `associate-*l/`
1×	`pow2` `cbrt-div` `pow-plus` `pow1/3` `div-sub` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `expm1-udef`

Counts

4 → 155

Calls

4 calls:

9.0ms	(/ (expm1 x) x)
57.0ms	(/ (* (expm1 x) (* (/ (expm1 x) x) (/ (expm1 x) x))) x)
14.0ms	(* (/ (expm1 x) x) (/ (expm1 x) x))
18.0ms	(cbrt (/ (* (expm1 x) (* (/ (expm1 x) x) (/ (expm1 x) x))) x))

series321.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (expm1 x) x)
116.0ms	(/ (* (expm1 x) (* (/ (expm1 x) x) (/ (expm1 x) x))) x)
69.0ms	(* (/ (expm1 x) x) (/ (expm1 x) x))
80.0ms	(cbrt (/ (* (expm1 x) (* (/ (expm1 x) x) (/ (expm1 x) x))) x))

simplify1.1s

Counts

167 → 167

Iterations

Iter	Nodes
done	2001
2	2001
1	669
0	223

prune765.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

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	3
0	3

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.0s	2277×	body	1280	valid
926.0ms	1572×	body	640	valid
421.0ms	5448×	body	80	valid
203.0ms	849×	body	320	valid
61.0ms	438×	body	160	valid