Details

sample234.0ms

Algorithm

intervals

Results

106.0ms	110×	body	1280	valid
50.0ms	83×	body	640	valid
43.0ms	246×	body	80	nan
14.0ms	37×	body	320	valid
5.0ms	21×	body	160	valid
0.0ms	5×	body	80	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1051
4	213
3	74
2	29
1	21
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
5.7b	(log (/ (+ x 1) (- 1 x)))

rewrite40.0ms

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

series131.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (+ x 1) (- 1 x))
89.0ms	(log (/ (+ x 1) (- 1 x)))

simplify1.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1458
1	378
0	162

prune333.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
7×	`associate-l`
5×	`pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`pow2` `pow-to-exp` `+-commutative` `associate-+r+` `flip3-+` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `flip-+`

Counts

4 → 87

Calls

4 calls:

51.0ms	(+ (* (* x (* x x)) 2/3) (+ (* 2/5 (pow x 5)) (* x 2)))
13.0ms	(* 2/5 (pow x 5))
16.0ms	(* x (* x x))
43.0ms	(* (* x (* x x)) 2/3)

series267.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(+ (* (* x (* x x)) 2/3) (+ (* 2/5 (pow x 5)) (* x 2)))
75.0ms	(* 2/5 (pow x 5))
57.0ms	(* x (* x x))
44.0ms	(* (* x (* x x)) 2/3)

simplify1.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1849
1	365
0	137

prune342.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow x 5) 2/5) (* x (+ (* 2/3 (* x x)) 2)))
0.0b	(* x (+ (* 2/3 (* x x)) 2))
0.1b	(* (pow x 5) 2/5)
0.2b	(* 2/3 (* x x))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube` `associate-l`
11×	`pow1`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `prod-exp`
6×	`add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down` `insert-posit16`
3×	`*-commutative`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-exp`

Counts

4 → 83

Calls

4 calls:

14.0ms	(+ (* (pow x 5) 2/5) (* x (+ (* 2/3 (* x x)) 2)))
63.0ms	(* x (+ (* 2/3 (* x x)) 2))
12.0ms	(* (pow x 5) 2/5)
19.0ms	(* 2/3 (* x x))

series312.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (* (pow x 5) 2/5) (* x (+ (* 2/3 (* x x)) 2)))
115.0ms	(* x (+ (* 2/3 (* x x)) 2))
73.0ms	(* (pow x 5) 2/5)
44.0ms	(* 2/3 (* x x))

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	2520
1	431
0	142

prune372.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ x 1)) (log (- 1 x)))
5.8b	(log (+ x 1))
5.8b	(log (- 1 x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`log-prod`
15×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `associate--r+` `distribute-lft-out--`
5×	`add-exp-log` `difference-of-squares`
4×	`associate--l+`
3×	`flip3--` `add-cbrt-cube` `insert-posit16` `flip--` `add-log-exp`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 66

Calls

3 calls:

10.0ms	(- (log (+ x 1)) (log (- 1 x)))
3.0ms	(log (+ x 1))
4.0ms	(log (- 1 x))

series185.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(- (log (+ x 1)) (log (- 1 x)))
27.0ms	(log (+ x 1))
25.0ms	(log (- 1 x))

simplify1.6s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	3682
2	877
1	323
0	147

prune208.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample7.6s

Algorithm

intervals

Results

3.9s	3353×	body	1280	valid
1.7s	2557×	body	640	valid
1.0s	8159×	body	80	nan
493.0ms	1243×	body	320	valid
152.0ms	632×	body	160	valid
25.0ms	215×	body	80	valid