Details

sample173.0ms

Algorithm

intervals

Results

88.0ms	107×	body	1280	valid
38.0ms	79×	body	640	valid
16.0ms	259×	body	80	nan
13.0ms	46×	body	320	valid
3.0ms	16×	body	160	valid
1.0ms	8×	body	80	valid

simplify191.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
4.9b	(log (/ (+ x 1) (- 1 x)))

rewrite70.0ms

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:

48.0ms	(/ (+ x 1) (- 1 x))
19.0ms	(log (/ (+ x 1) (- 1 x)))

series122.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (+ x 1) (- 1 x))
89.0ms	(log (/ (+ x 1) (- 1 x)))

simplify2.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	2928
2	921
1	366
0	162

prune385.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ (* (* 2/3 x) x) 2))
0.1b	(* 2/5 (pow x 5))
0.1b	(* (* 2/3 x) x)
0.4b	(* 2/3 x)

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-r`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-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

4 → 87

Calls

4 calls:

110.0ms	(* x (+ (* (* 2/3 x) x) 2))
19.0ms	(* 2/5 (pow x 5))
38.0ms	(* (* 2/3 x) x)
12.0ms	(* 2/3 x)

series258.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* x (+ (* (* 2/3 x) x) 2))
81.0ms	(* 2/5 (pow x 5))
37.0ms	(* (* 2/3 x) x)
19.0ms	(* 2/3 x)

simplify1.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1178
1	365
0	133

prune387.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (- 1 x) (+ x 1)))
0.0b	(/ (- 1 x) (+ x 1))
4.9b	(log (/ 1 (/ (- 1 x) (+ x 1))))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

372×	`times-frac`
351×	`*-un-lft-identity`
253×	`add-sqr-sqrt`
154×	`add-cube-cbrt`
95×	`log-prod`
66×	`difference-of-squares`
49×	`distribute-lft-out`
34×	`associate-/r*`
33×	`distribute-lft-out--`
28×	`add-exp-log`
18×	`associate-/r/`
15×	`div-exp`
10×	`add-cbrt-cube` `div-inv`
9×	`associate-/l*`
8×	`flip3-+` `flip-+`
7×	`rem-log-exp`
6×	`pow1`
4×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`log-pow` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-flip` `inv-pow` `associate-/l/`
1×	`log-div` `flip3--` `div-sub` `log-rec` `flip--`

Counts

3 → 312

Calls

3 calls:

37.0ms	(/ 1 (/ (- 1 x) (+ x 1)))
42.0ms	(/ (- 1 x) (+ x 1))
27.0ms	(log (/ 1 (/ (- 1 x) (+ x 1))))

series153.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 1 (/ (- 1 x) (+ x 1)))
27.0ms	(/ (- 1 x) (+ x 1))
84.0ms	(log (/ 1 (/ (- 1 x) (+ x 1))))

simplify1.6s

Counts

321 → 321

Iterations

Iter	Nodes
done	5000
2	2545
1	1037
0	394

prune503.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1))
0.0b	(/ (sqrt (+ x 1)) (- 1 x))
4.8b	(log (sqrt (+ x 1)))
5.0b	(log (/ (sqrt (+ x 1)) (- 1 x)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

124×	`*-un-lft-identity`
95×	`add-sqr-sqrt`
84×	`times-frac`
60×	`sqrt-prod`
55×	`log-prod`
49×	`add-cube-cbrt`
30×	`difference-of-squares`
15×	`distribute-lft-out` `distribute-lft-out--`
10×	`add-exp-log`
8×	`pow1`
7×	`associate-/l*`
6×	`associate-/r*` `add-cbrt-cube` `sqrt-div`
4×	`associate-/r/` `log-pow` `insert-posit16` `add-log-exp`
3×	`log-div` `flip3-+` `rem-log-exp` `flip-+`
2×	`sqrt-pow1` `flip3--` `pow1/2` `div-exp` `div-inv` `flip--` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg`

Counts

4 → 170

Calls

4 calls:

11.0ms	(sqrt (+ x 1))
33.0ms	(/ (sqrt (+ x 1)) (- 1 x))
6.0ms	(log (sqrt (+ x 1)))
13.0ms	(log (/ (sqrt (+ x 1)) (- 1 x)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sqrt (+ x 1))
66.0ms	(/ (sqrt (+ x 1)) (- 1 x))
70.0ms	(log (sqrt (+ x 1)))
129.0ms	(log (/ (sqrt (+ x 1)) (- 1 x)))

simplify1.8s

Counts

182 → 182

Iterations

Iter	Nodes
done	5002
3	2896
2	1105
1	493
0	250

prune716.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	14

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.6s	3360×	body	1280	valid
1.3s	2543×	body	640	valid
559.0ms	7784×	body	80	nan
380.0ms	1256×	body	320	valid
109.0ms	644×	body	160	valid
17.0ms	197×	body	80	valid