Details

sample117.0ms

Algorithm

intervals

Results

66.0ms	75×	body	1280	valid
24.0ms	56×	body	640	valid
5.0ms	21×	body	320	valid
5.0ms	88×	body	80	valid
4.0ms	84×	body	80	nan
2.0ms	16×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	5
1	5
0	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.9b

localize14.0ms

Local error

Found 1 expressions with local error:

4.8b	(log (+ 1 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

4.0ms

(log (+ 1 x))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(log (+ 1 x))

simplify1.3s

Counts

19 → 19

Iterations

Iter	Nodes
5	2892
4	1038
3	435
2	208
1	105
0	55

prune122.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* x x) (- (* 1/3 x) 1/2))
0.3b	(* 1/3 x)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

2 → 45

Calls

2 calls:

41.0ms	(* (* x x) (- (* 1/3 x) 1/2))
12.0ms	(* 1/3 x)

series175.0ms

Counts

2 → 6

Calls

2 calls:

146.0ms	(* (* x x) (- (* 1/3 x) 1/2))
29.0ms	(* 1/3 x)

simplify1.2s

Counts

51 → 51

Iterations

Iter	Nodes
3	2254
2	617
1	222
0	81

prune504.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) x)
0.3b	(- (log (+ 1 (* (* x x) x))) (log (- 1 (- x (* x x)))))
14.7b	(log (+ 1 (* (* x x) x)))
15.0b	(log (- 1 (- x (* x x))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
19×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `log-prod`
11×	`add-exp-log`
9×	`add-cbrt-cube` `add-cube-cbrt`
8×	`log-div`
6×	`pow-plus` `log-pow` `pow-prod-up` `associate--r+` `distribute-lft-out--`
5×	`difference-of-squares`
4×	`insert-posit16` `add-log-exp`
3×	`flip3--` `associate-r` `pow-prod-down` `prod-exp` `associate--l+` `cbrt-unprod` `flip--`
2×	`associate--l-` `pow2` `flip3-+` `rem-log-exp` `pow-sqr` `flip-+` `associate--r-`
1×	`sub-neg` `diff-log` `associate-l` `pow3` `*-commutative` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

17.0ms	(* (* x x) x)
35.0ms	(- (log (+ 1 (* (* x x) x))) (log (- 1 (- x (* x x)))))
3.0ms	(log (+ 1 (* (* x x) x)))
12.0ms	(log (- 1 (- x (* x x))))

series650.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* x x) x)
97.0ms	(- (log (+ 1 (* (* x x) x))) (log (- 1 (- x (* x x)))))
455.0ms	(log (+ 1 (* (* x x) x)))
48.0ms	(log (- 1 (- x (* x x))))

simplify1.6s

Counts

105 → 105

Iterations

Iter	Nodes
3	2612
2	978
1	405
0	184

prune945.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.2b	(* 1/3 (pow x 9))
13.2b	(+ (* (* x x) (- x (* (* (* x x) (* x x)) 1/2))) (* 1/3 (pow x 9)))
15.0b	(log (- 1 (- x (* x x))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

116×	`pow1`
36×	`pow-prod-up`
23×	`pow-prod-down`
22×	`add-exp-log` `pow-sqr`
18×	`pow-plus` `add-cbrt-cube`
16×	`add-sqr-sqrt`
13×	`pow2`
11×	`*-un-lft-identity` `prod-exp`
9×	`cbrt-unprod`
8×	`associate-r` `add-cube-cbrt`
6×	`log-prod` `add-log-exp`
4×	`associate-+l+` `unpow-prod-down` `associate-l` `insert-posit16` `unswap-sqr`
2×	`distribute-rgt-in` `log-div` `sub-neg` `distribute-lft-in` `*-commutative` `difference-of-squares` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `flip3-+` `flip3--` `swap-sqr` `rem-log-exp` `pow-exp` `log-pow` `flip-+` `flip--` `distribute-lft-out--`

Counts

4 → 124

Calls

4 calls:

28.0ms	(* (* x x) (* x x))
12.0ms	(* 1/3 (pow x 9))
50.0ms	(+ (* (* x x) (- x (* (* (* x x) (* x x)) 1/2))) (* 1/3 (pow x 9)))
22.0ms	(log (- 1 (- x (* x x))))

series440.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* x x) (* x x))
123.0ms	(* 1/3 (pow x 9))
196.0ms	(+ (* (* x x) (- x (* (* (* x x) (* x x)) 1/2))) (* 1/3 (pow x 9)))
59.0ms	(log (- 1 (- x (* x x))))

simplify7.7s

Counts

136 → 136

Iterations

Iter	Nodes
3	8816
2	1546
1	466
0	190

prune1.5s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes159.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 20.9b

bsearch4.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	18
1	18
0	14

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.7s	2277×	body	1280	valid
646.0ms	1618×	body	640	valid
558.0ms	2675×	body	80	nan
200.0ms	864×	body	320	valid
172.0ms	2833×	body	80	valid
51.0ms	408×	body	160	valid