Details

sample139.0ms

Algorithm

intervals

Results

74.0ms	113×	body	1280	valid
27.0ms	71×	body	640	valid
11.0ms	48×	body	320	valid
11.0ms	208×	body	80	nan
2.0ms	15×	body	160	valid
1.0ms	9×	body	80	valid

simplify175.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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:

28.0ms	(/ (+ x 1) (- 1 x))
9.0ms	(log (/ (+ x 1) (- 1 x)))

series127.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (+ x 1) (- 1 x))
99.0ms	(log (/ (+ x 1) (- 1 x)))

simplify2.1s

Counts

99 → 99

Iterations

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

prune330.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

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)
0.3b	(* 2/3 x)

rewrite143.0ms

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:

72.0ms	(* x (+ (* (* 2/3 x) x) 2))
19.0ms	(* 2/5 (pow x 5))
37.0ms	(* (* 2/3 x) x)
12.0ms	(* 2/3 x)

series248.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* x (+ (* (* 2/3 x) x) 2))
84.0ms	(* 2/5 (pow x 5))
28.0ms	(* (* 2/3 x) x)
22.0ms	(* 2/3 x)

simplify1.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1178
1	365
0	133

prune317.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

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:

27.0ms	(/ 1 (/ (- 1 x) (+ x 1)))
24.0ms	(/ (- 1 x) (+ x 1))
31.0ms	(log (/ 1 (/ (- 1 x) (+ x 1))))

series170.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1 (/ (- 1 x) (+ x 1)))
34.0ms	(/ (- 1 x) (+ x 1))
100.0ms	(log (/ 1 (/ (- 1 x) (+ x 1))))

simplify1.3s

Counts

321 → 321

Iterations

Iter	Nodes
done	5000
2	2545
1	1037
0	394

prune485.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	21
1	21
0	14

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.1s	3418×	body	1280	valid
1.2s	2489×	body	640	valid
647.0ms	8071×	body	80	nan
334.0ms	1257×	body	320	valid
105.0ms	632×	body	160	valid
16.0ms	204×	body	80	valid