Details

sample76.0ms

Algorithm

intervals

Results

33.0ms	72×	body	1280	valid
16.0ms	55×	body	640	valid
10.0ms	165×	body	80	valid
6.0ms	26×	body	320	valid
2.0ms	14×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	17
3	17
2	14
1	12
0	5

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)

series60.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(/ (expm1 x) x)

simplify23.9s

Counts

34 → 34

Iterations

Iter	Nodes
5	5845
4	1724
3	728
2	311
1	131
0	68

prune222.0ms

Pruning

2 alts after pruning (2 fresh and 0 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)))

rewrite12.0ms

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:

4.0ms	(/ x (expm1 x))
7.0ms	(/ 1 (/ x (expm1 x)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ x (expm1 x))
45.0ms	(/ 1 (/ x (expm1 x)))

simplify3.8s

Counts

115 → 115

Iterations

Iter	Nodes
3	2532
2	976
1	397
0	172

prune791.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (expm1 x) x)
0.1b	(sqrt (/ (expm1 x) x))
0.1b	(sqrt (/ (expm1 x) x))
0.2b	(* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt` `sqrt-prod`
71×	`times-frac`
58×	`*-un-lft-identity` `add-cube-cbrt`
21×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv`
6×	`sqrt-div`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `rem-sqrt-square` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `pow-sqr` `associate-/l`
1×	`pow2` `frac-times` `cbrt-undiv` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `div-exp` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `expm1-udef`

Counts

4 → 177

Calls

4 calls:

8.0ms	(/ (expm1 x) x)
5.0ms	(sqrt (/ (expm1 x) x))
5.0ms	(sqrt (/ (expm1 x) x))
33.0ms	(* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x)))

series206.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ (expm1 x) x)
47.0ms	(sqrt (/ (expm1 x) x))
57.0ms	(sqrt (/ (expm1 x) x))
43.0ms	(* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x)))

simplify4.4s

Counts

189 → 189

Iterations

Iter	Nodes
3	6379
2	1556
1	526
0	254

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

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
1	5
0	5

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.3s	2213×	body	1280	valid
485.0ms	1695×	body	640	valid
358.0ms	5431×	body	80	valid
177.0ms	844×	body	320	valid
47.0ms	420×	body	160	valid