Details

sample99.0ms

Algorithm

intervals

Results

50.0ms	110×	body	1280	valid
20.0ms	79×	body	640	valid
7.0ms	41×	body	320	valid
7.0ms	228×	body	80	nan
2.0ms	19×	body	160	valid
0.0ms	7×	body	80	valid

simplify108.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	25	12
3	40	12
4	65	12
5	96	12
6	118	12
7	126	12
8	128	12
done	128	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.4b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite41.0ms

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×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

27.0ms	(/ (+ 1.0 x) (- 1.0 x))
11.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series152.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (+ 1.0 x) (- 1.0 x))
119.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.5s

Counts

92 → 92

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	146	1310
1	335	1243
2	851	1182
3	2166	1136
done	5000	1134

prune200.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune7.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
0.0b	(* x (+ 1.0 x))
5.4b	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
5.4b	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

286×	`add-sqr-sqrt`
262×	`*-un-lft-identity`
200×	`times-frac`
144×	`difference-of-squares`
109×	`log-prod`
108×	`unpow-prod-down` `cube-prod`
72×	`sqr-pow`
68×	`add-cube-cbrt`
52×	`distribute-lft-out`
45×	`distribute-lft-out--`
25×	`associate-/r*`
12×	`add-exp-log`
9×	`difference-cubes`
8×	`pow1` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `associate-/r/` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`rem-log-exp` `associate-l`
2×	`flip3--` `flip3-+` `associate-*r/` `div-exp` `log-pow` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `log-div` `frac-2neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 305

Calls

4 calls:

54.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
20.0ms	(* x (+ 1.0 x))
1.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
31.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

series217.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
42.0ms	(* x (+ 1.0 x))
62.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
64.0ms	(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

simplify1.2s

Counts

317 → 317

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	362	6908
1	797	6316
2	2098	6062
done	5000	5972

prune664.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 1.0 x))
1.2b	(log (- (pow 1.0 3) (pow x 3)))
5.4b	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
5.4b	(log (+ 1.0 x))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
32×	`log-prod`
23×	`*-un-lft-identity`
16×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
9×	`pow1` `add-exp-log` `add-cube-cbrt`
8×	`sqr-pow`
6×	`add-cbrt-cube`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `log-div` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp` `associate-l` `log-pow`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`difference-cubes` `distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

22.0ms	(* x (+ 1.0 x))
28.0ms	(log (- (pow 1.0 3) (pow x 3)))
1.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
5.0ms	(log (+ 1.0 x))

series399.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* x (+ 1.0 x))
250.0ms	(log (- (pow 1.0 3) (pow x 3)))
63.0ms	(log (fma 1.0 1.0 (* x (+ 1.0 x))))
41.0ms	(log (+ 1.0 x))

simplify2.1s

Counts

106 → 106

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	209	1343
1	468	1238
2	1280	1127
3	4115	1123
done	5000	1120

prune307.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes23.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	14	20
done	14	20

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.6s	3432×	body	1280	valid
648.0ms	2484×	body	640	valid
236.0ms	7863×	body	80	nan
196.0ms	1241×	body	320	valid
64.0ms	648×	body	160	valid
9.0ms	195×	body	80	valid