Details

sample173.0ms

Algorithm

intervals

Results

82.0ms	108×	body	1280	valid
39.0ms	84×	body	640	valid
24.0ms	279×	body	80	nan
12.0ms	37×	body	320	valid
5.0ms	25×	body	160	valid
0.0ms	2×	body	80	valid

simplify158.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	201
8	201
7	198
6	165
5	150
4	100
3	59
2	27
1	21
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
6.5b	(log (/ (+ x 1) (- 1 x)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 93

Calls

2 calls:

24.0ms	(/ (+ x 1) (- 1 x))
10.0ms	(log (/ (+ x 1) (- 1 x)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (+ x 1) (- 1 x))
88.0ms	(log (/ (+ x 1) (- 1 x)))

simplify910.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	2002
3	2002
2	921
1	366
0	162

prune735.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ (* 2/3 (* x x)) 2))
0.1b	(* 2/5 (pow x 5))
0.2b	(* 2/3 (* x x))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`associate-r`
10×	`pow1`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
7×	`prod-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

3 → 69

Calls

3 calls:

53.0ms	(* x (+ (* 2/3 (* x x)) 2))
8.0ms	(* 2/5 (pow x 5))
17.0ms	(* 2/3 (* x x))

series239.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(* x (+ (* 2/3 (* x x)) 2))
65.0ms	(* 2/5 (pow x 5))
44.0ms	(* 2/3 (* x x))

simplify997.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	2006
3	2006
2	1248
1	359
0	122

prune688.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

6.6b	(log (- 1 x))
6.6b	(log (+ x 1))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`log-prod`
9×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
4×	`pow1` `log-div` `add-exp-log` `add-cube-cbrt`
2×	`add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `add-log-exp` `difference-of-squares`
1×	`flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

2 → 34

Calls

2 calls:

3.0ms	(log (- 1 x))
4.0ms	(log (+ x 1))

series49.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(log (- 1 x))
23.0ms	(log (+ x 1))

simplify927.0ms

Counts

40 → 40

Iterations

Iter	Nodes
done	2000
4	2000
3	983
2	394
1	194
0	99

prune222.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

6.6b	(log (- 1 x))
6.6b	(log (+ x 1))
6.6b	(log (+ x 1))
6.6b	(log (+ x 1))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
17×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
8×	`pow1` `log-div` `add-exp-log` `add-cube-cbrt`
4×	`add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `add-log-exp`
3×	`flip3-+` `flip-+` `distribute-lft-out`
2×	`difference-of-squares`
1×	`flip3--` `flip--` `distribute-lft-out--`

Counts

4 → 66

Calls

4 calls:

3.0ms	(log (- 1 x))
3.0ms	(log (+ x 1))
3.0ms	(log (+ x 1))
3.0ms	(log (+ x 1))

series132.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(log (- 1 x))
39.0ms	(log (+ x 1))
27.0ms	(log (+ x 1))
25.0ms	(log (+ x 1))

simplify1.0s

Counts

78 → 78

Iterations

Iter	Nodes
done	2000
4	2000
3	983
2	394
1	194
0	99

prune740.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample8.4s

Algorithm

intervals

Results

4.4s	3298×	body	1280	valid
1.9s	2583×	body	640	valid
1.0s	8199×	body	80	nan
625.0ms	1252×	body	320	valid
228.0ms	674×	body	160	valid
47.0ms	193×	body	80	valid