Details

sample214.0ms

Algorithm

intervals

Results

94.0ms	105×	body	1280	valid
44.0ms	84×	body	640	valid
28.0ms	37×	body	320	valid
27.0ms	284×	body	80	nan
4.0ms	16×	body	160	valid
2.0ms	14×	body	80	valid

simplify214.0ms

Counts

1 → 1

Iterations

Iter	Nodes
10	190
9	190
8	189
7	182
6	155
5	130
4	87
3	59
2	27
1	21
0	9

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 56.9b

localize27.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (+ x 1) (- 1 x))
4.6b	(log (/ (+ x 1) (- 1 x)))

rewrite50.0ms

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:

35.0ms	(/ (+ x 1) (- 1 x))
12.0ms	(log (/ (+ x 1) (- 1 x)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (+ x 1) (- 1 x))
124.0ms	(log (/ (+ x 1) (- 1 x)))

simplify887.0ms

Counts

99 → 99

Iterations

Iter	Nodes
3	2267
2	866
1	355
0	162

prune893.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

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:

11.0ms	(* x (+ 2 (* (* x 2/3) x)))
8.0ms	(* 2/5 (pow x 5))
33.0ms	(* (* x 2/3) x)
11.0ms	(* x 2/3)

series243.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* x (+ 2 (* (* x 2/3) x)))
67.0ms	(* 2/5 (pow x 5))
51.0ms	(* (* x 2/3) x)
18.0ms	(* x 2/3)

simplify1.8s

Counts

99 → 99

Iterations

Iter	Nodes
3	3758
2	976
1	332
0	134

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`pow1`
18×	`add-sqr-sqrt`
16×	`associate-r`
13×	`prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
10×	`pow-prod-down`
8×	`associate-l`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 86

Calls

4 calls:

8.0ms	(* 2/5 (pow x 5))
42.0ms	(* (* (* x 2/3) x) x)
16.0ms	(* (* x 2/3) x)
6.0ms	(* x 2/3)

series198.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* 2/5 (pow x 5))
65.0ms	(* (* (* x 2/3) x) x)
29.0ms	(* (* x 2/3) x)
27.0ms	(* x 2/3)

simplify1.3s

Counts

98 → 98

Iterations

Iter	Nodes
3	2799
2	791
1	285
0	117

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ 1 x) (- 1 (* x x)))
0.0b	(* (/ (+ 1 x) (- 1 (* x x))) (+ 1 x))
4.6b	(log (* (/ (+ 1 x) (- 1 (* x x))) (+ 1 x)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
41×	`times-frac`
39×	`add-sqr-sqrt`
26×	`associate-l`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
16×	`add-exp-log`
12×	`distribute-lft-out`
10×	`add-cbrt-cube`
8×	`pow1`
5×	`log-div` `associate-/r*` `flip3-+` `flip-+`
4×	`frac-times` `associate-r` `prod-exp` `associate-r/` `associate-/r/` `associate-/l`
3×	`div-exp` `rem-log-exp` `insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `pow-prod-down` `associate-*l/` `log-pow` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr` `associate-/l/`
1×	`distribute-rgt-in` `log-prod` `clear-num` `frac-2neg` `distribute-lft-in` `*-commutative`

Counts

3 → 118

Calls

3 calls:

17.0ms	(/ (+ 1 x) (- 1 (* x x)))
40.0ms	(* (/ (+ 1 x) (- 1 (* x x))) (+ 1 x))
24.0ms	(log (* (/ (+ 1 x) (- 1 (* x x))) (+ 1 x)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (+ 1 x) (- 1 (* x x)))
35.0ms	(* (/ (+ 1 x) (- 1 (* x x))) (+ 1 x))
142.0ms	(log (* (/ (+ 1 x) (- 1 (* x x))) (+ 1 x)))

simplify663.0ms

Counts

127 → 127

Iterations

Iter	Nodes
2	2112
1	597
0	184

prune752.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes25.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	23
1	23
0	15

end0.0ms

sample7.8s

Algorithm

intervals

Results

3.8s	3461×	body	1280	valid
1.7s	2479×	body	640	valid
996.0ms	8070×	body	80	nan
888.0ms	1222×	body	320	valid
156.0ms	619×	body	160	valid
56.0ms	219×	body	80	valid