Details

sample65.0ms

Algorithm

intervals

Results

25.0ms	64×	body	640	valid
19.0ms	64×	body	1280	valid
8.0ms	180×	body	80	valid
2.0ms	15×	body	320	valid
2.0ms	18×	body	160	valid

simplify18.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (expm1 x) x)

rewrite4.0ms

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:

Slowest

4.0ms

(/ (expm1 x) x)

series58.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

58.0ms

(/ (expm1 x) x)

simplify847.0ms

Counts: 34 → 34

prune347.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.6b	(expm1 (/ (expm1 x) x))
0.0b	(/ (expm1 x) x)
0.0b	(log1p (expm1 (/ (expm1 x) x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

Slowest

9.0ms	(/ (expm1 x) x)
1.0ms	(expm1 (/ (expm1 x) x))
0.0ms	(log1p (expm1 (/ (expm1 x) x)))

series489.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

361.0ms	(log1p (expm1 (/ (expm1 x) x)))
79.0ms	(expm1 (/ (expm1 x) x))
49.0ms	(/ (expm1 x) x)

simplify1.5s

Counts: 64 → 64

prune635.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(expm1 (/ (expm1 x) x))
0.6b	(expm1 (/ (expm1 x) x))
0.2b	(* (sqrt (log1p (expm1 (/ (expm1 x) x)))) (sqrt (log1p (expm1 (/ (expm1 x) x)))))
0.1b	(sqrt (log1p (expm1 (/ (expm1 x) x))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `log1p-expm1-u`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`expm1-log1p` `expm1-udef`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 92

Calls

4 calls:

Slowest

18.0ms	(* (sqrt (log1p (expm1 (/ (expm1 x) x)))) (sqrt (log1p (expm1 (/ (expm1 x) x)))))
2.0ms	(sqrt (log1p (expm1 (/ (expm1 x) x))))
1.0ms	(expm1 (/ (expm1 x) x))
1.0ms	(expm1 (/ (expm1 x) x))

series575.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

348.0ms	(* (sqrt (log1p (expm1 (/ (expm1 x) x)))) (sqrt (log1p (expm1 (/ (expm1 x) x)))))
115.0ms	(sqrt (log1p (expm1 (/ (expm1 x) x))))
60.0ms	(expm1 (/ (expm1 x) x))
52.0ms	(expm1 (/ (expm1 x) x))

simplify1.8s

Counts: 104 → 104

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(expm1 (/ (expm1 x) x))
0.6b	(expm1 (/ (expm1 x) x))
0.6b	(expm1 (/ (expm1 x) x))
0.6b	(expm1 (/ (expm1 x) x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

8×	`log1p-expm1-u`
4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `expm1-log1p` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `expm1-udef` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

Slowest

1.0ms	(expm1 (/ (expm1 x) x))
1.0ms	(expm1 (/ (expm1 x) x))
1.0ms	(expm1 (/ (expm1 x) x))
1.0ms	(expm1 (/ (expm1 x) x))

series293.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(expm1 (/ (expm1 x) x))
74.0ms	(expm1 (/ (expm1 x) x))
71.0ms	(expm1 (/ (expm1 x) x))
69.0ms	(expm1 (/ (expm1 x) x))

simplify846.0ms

Counts: 60 → 60

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 0.2b

bsearch1.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.0s	2328×	body	1280	valid
614.0ms	1660×	body	640	valid
363.0ms	5376×	body	80	valid
210.0ms	821×	body	320	valid
60.0ms	437×	body	160	valid