Details

sample267.0ms

Algorithm

intervals

Results

149.0ms	96×	body	1280	valid
67.0ms	80×	body	640	valid
22.0ms	48×	body	320	valid
10.0ms	256×	pre	80	true
5.0ms	18×	body	160	valid
2.0ms	14×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	15
2	15
1	13
0	7

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 57.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (log (- 1 x)) (log1p x))
6.1b	(log (- 1 x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`times-frac` `add-cube-cbrt`
7×	`pow1`
6×	`log-prod`
5×	`add-exp-log` `log-pow`
4×	`log-div` `add-cbrt-cube` `associate-/l*`
3×	`associate-/r*`
2×	`expm1-log1p-u` `log1p-def` `flip3--` `div-sub` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `div-exp` `rem-log-exp` `div-inv` `distribute-lft-out--`

Counts

2 → 58

Calls

2 calls:

12.0ms	(/ (log (- 1 x)) (log1p x))
4.0ms	(log (- 1 x))

series101.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (log (- 1 x)) (log1p x))
26.0ms	(log (- 1 x))

simplify1.6s

Counts

64 → 64

Iterations

Iter	Nodes
3	3620
2	1049
1	370
0	163

prune307.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p (- x))
0.0b	(/ (log1p (- x)) (log1p x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

1.0ms	(log1p (- x))
8.0ms	(/ (log1p (- x)) (log1p x))

series133.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(log1p (- x))
97.0ms	(/ (log1p (- x)) (log1p x))

simplify1.5s

Counts

48 → 48

Iterations

Iter	Nodes
3	3320
2	896
1	312
0	130

prune369.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (- x))
0.0b	(/ 1 (/ (log1p x) (log1p (- x))))
0.0b	(/ (log1p x) (log1p (- x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 121

Calls

3 calls:

0.0ms	(log1p (- x))
6.0ms	(/ 1 (/ (log1p x) (log1p (- x))))
4.0ms	(/ (log1p x) (log1p (- x)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(log1p (- x))
78.0ms	(/ 1 (/ (log1p x) (log1p (- x))))
74.0ms	(/ (log1p x) (log1p (- x)))

simplify847.0ms

Counts

130 → 130

Iterations

Iter	Nodes
2	2111
1	710
0	276

prune759.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (/ 1 (/ (log1p x) (log1p (- x))))) (cbrt (/ 1 (/ (log1p x) (log1p (- x))))))
0.0b	(cbrt (/ 1 (/ (log1p x) (log1p (- x)))))
0.0b	(cbrt (/ 1 (/ (log1p x) (log1p (- x)))))
0.0b	(cbrt (/ 1 (/ (log1p x) (log1p (- x)))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

534×	`times-frac`
373×	`add-sqr-sqrt`
372×	`cbrt-prod`
279×	`*-un-lft-identity`
253×	`add-cube-cbrt`
49×	`swap-sqr`
47×	`associate-r` `associate-l`
36×	`unswap-sqr`
30×	`div-inv`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div` `associate-/r/`
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 → 371

Calls

4 calls:

15.0ms	(* (cbrt (/ 1 (/ (log1p x) (log1p (- x))))) (cbrt (/ 1 (/ (log1p x) (log1p (- x))))))
2.0ms	(cbrt (/ 1 (/ (log1p x) (log1p (- x)))))
3.0ms	(cbrt (/ 1 (/ (log1p x) (log1p (- x)))))
6.0ms	(cbrt (/ 1 (/ (log1p x) (log1p (- x)))))

series951.0ms

Counts

4 → 12

Calls

4 calls:

421.0ms	(* (cbrt (/ 1 (/ (log1p x) (log1p (- x))))) (cbrt (/ 1 (/ (log1p x) (log1p (- x))))))
176.0ms	(cbrt (/ 1 (/ (log1p x) (log1p (- x)))))
170.0ms	(cbrt (/ 1 (/ (log1p x) (log1p (- x)))))
183.0ms	(cbrt (/ 1 (/ (log1p x) (log1p (- x)))))

simplify3.3s

Counts

383 → 383

Iterations

Iter	Nodes
1	2139
0	838

prune4.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

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

sample9.1s

Algorithm

intervals

Results

5.2s	3395×	body	1280	valid
2.5s	2473×	body	640	valid
626.0ms	1274×	body	320	valid
390.0ms	8000×	pre	80	true
168.0ms	624×	body	160	valid
62.0ms	234×	body	80	valid