Details

sample205.0ms

Algorithm

intervals

Results

90.0ms	103×	body	1280	valid
60.0ms	83×	body	640	valid
23.0ms	250×	body	80	nan
13.0ms	39×	body	320	valid
4.0ms	20×	body	160	valid
1.0ms	11×	body	80	valid

simplify149.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
6.3b	(log (/ (+ x 1) (- 1 x)))

rewrite42.0ms

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:

30.0ms	(/ (+ x 1) (- 1 x))
11.0ms	(log (/ (+ x 1) (- 1 x)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (+ x 1) (- 1 x))
105.0ms	(log (/ (+ x 1) (- 1 x)))

simplify835.0ms

Counts

99 → 99

Iterations

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

prune816.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite65.0ms

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:

43.0ms	(* x (+ (* 2/3 (* x x)) 2))
8.0ms	(* 2/5 (pow x 5))
13.0ms	(* 2/3 (* x x))

series241.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(* x (+ (* 2/3 (* x x)) 2))
73.0ms	(* 2/5 (pow x 5))
31.0ms	(* 2/3 (* x x))

simplify1.2s

Counts

78 → 78

Iterations

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

prune864.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 3 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
14×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`associate-r` `associate-l` `pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

3 → 68

Calls

3 calls:

42.0ms	(* x (* 2/3 (* x x)))
16.0ms	(* 2/5 (pow x 5))
27.0ms	(* 2/3 (* x x))

series199.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* x (* 2/3 (* x x)))
78.0ms	(* 2/5 (pow x 5))
46.0ms	(* 2/3 (* x x))

simplify989.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	2018
3	2018
2	833
1	262
0	104

prune854.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (+ x 1) (- 1 x))))
6.3b	(log (/ (+ x 1) (- 1 x)))
6.3b	(log (/ (+ x 1) (- 1 x)))
6.3b	(log (/ (+ x 1) (- 1 x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
90×	`log-prod`
74×	`add-sqr-sqrt`
72×	`times-frac`
38×	`add-cube-cbrt`
24×	`difference-of-squares`
18×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--`
8×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `add-cbrt-cube` `log-pow` `insert-posit16` `add-log-exp`
3×	`log-div` `flip3--` `div-exp` `div-inv` `flip--`
1×	`pow1/3`

Counts

4 → 139

Calls

4 calls:

1.0ms	(cbrt (log (/ (+ x 1) (- 1 x))))
6.0ms	(log (/ (+ x 1) (- 1 x)))
12.0ms	(log (/ (+ x 1) (- 1 x)))
12.0ms	(log (/ (+ x 1) (- 1 x)))

series579.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(cbrt (log (/ (+ x 1) (- 1 x))))
99.0ms	(log (/ (+ x 1) (- 1 x)))
108.0ms	(log (/ (+ x 1) (- 1 x)))
93.0ms	(log (/ (+ x 1) (- 1 x)))

simplify1.3s

Counts

151 → 151

Iterations

Iter	Nodes
done	2004
4	2004
3	1900
2	744
1	356
0	170

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes33.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample7.8s

Algorithm

intervals

Results

3.3s	3458×	body	1280	valid
1.7s	2426×	body	640	valid
1.4s	7967×	body	80	nan
622.0ms	628×	body	160	valid
495.0ms	1256×	body	320	valid
49.0ms	232×	body	80	valid