Details

sample182.0ms

Algorithm

intervals

Results

89.0ms	113×	body	1280	valid
33.0ms	71×	body	640	valid
13.0ms	208×	body	80	nan
12.0ms	48×	body	320	valid
3.0ms	15×	body	160	valid
1.0ms	9×	body	80	valid

simplify559.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	127
9	127
8	123
7	116
6	105
5	88
4	60
3	38
2	25
1	18
0	9

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize42.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.1b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 88

Calls

2 calls:

43.0ms	(/ (+ 1.0 x) (- 1.0 x))
27.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series312.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ (+ 1.0 x) (- 1.0 x))
246.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify6.4s

Counts

94 → 94

Iterations

Iter	Nodes
done	5005
3	2957
2	895
1	349
0	148

prune873.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune31.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.9b	(log (- 1.0 x))
6.2b	(log (+ 1.0 x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`pow1` `log-prod`
16×	`prod-diff` `add-cube-cbrt`
15×	`log-pow`
8×	`log-div`
6×	`distribute-lft-out--`
5×	`add-exp-log` `associate--r+`
4×	`fma-neg` `associate--l+`
3×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 90

Calls

3 calls:

33.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
10.0ms	(log (- 1.0 x))
10.0ms	(log (+ 1.0 x))

series587.0ms

Counts

3 → 9

Calls

3 calls:

441.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
72.0ms	(log (- 1.0 x))
74.0ms	(log (+ 1.0 x))

simplify4.9s

Counts

99 → 99

Iterations

Iter	Nodes
done	5044
3	3050
2	940
1	389
0	169

prune816.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (/ x 1.0) 2/3)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-l`
10×	`times-frac`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

24.0ms

(* (/ x 1.0) 2/3)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* (/ x 1.0) 2/3)

simplify3.8s

Counts

38 → 38

Iterations

Iter	Nodes
done	5001
3	1485
2	489
1	161
0	71

prune427.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes354.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	20
1	20
0	17

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.0s	3418×	body	1280	valid
1.2s	2489×	body	640	valid
496.0ms	8071×	body	80	nan
392.0ms	1257×	body	320	valid
191.0ms	632×	body	160	valid
28.0ms	204×	body	80	valid