Details

sample111.0ms

Algorithm

intervals

Results

53.0ms	59×	body	1280	valid
23.0ms	48×	body	640	valid
10.0ms	90×	body	80	nan
7.0ms	111×	body	80	valid
6.0ms	24×	body	320	valid
2.0ms	14×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	7
1	7
0	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.8b

localize6.0ms

Local error

Found 1 expressions with local error:

3.5b	(log (+ 1 x))

rewrite5.0ms

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))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(log (+ 1 x))

simplify1.7s

Counts

19 → 19

Iterations

Iter	Nodes
5	2837
4	1070
3	438
2	209
1	106
0	55

prune113.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:

36.0ms	(* (* x x) (- (* 1/3 x) 1/2))
5.0ms	(* 1/3 x)

series110.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(* (* x x) (- (* 1/3 x) 1/2))
17.0ms	(* 1/3 x)

simplify1.0s

Counts

51 → 51

Iterations

Iter	Nodes
3	2297
2	611
1	223
0	81

prune353.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize39.0ms

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))))
14.2b	(log (+ (- 1 x) (* x x)))
17.0b	(log (+ 1 (* (* x x) x)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
13×	`*-un-lft-identity`
12×	`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`
4×	`flip3-+` `flip-+` `insert-posit16` `distribute-lft-out--` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `associate--l+` `cbrt-unprod` `associate--r+`
2×	`associate--l-` `pow2` `rem-log-exp` `pow-sqr` `associate--r-`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `pow3` `*-commutative` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

25.0ms	(* (* x x) x)
33.0ms	(- (log (+ 1 (* (* x x) x))) (log (+ (- 1 x) (* x x))))
30.0ms	(log (+ (- 1 x) (* x x)))
6.0ms	(log (+ 1 (* (* x x) x)))

series672.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* x x) x)
86.0ms	(- (log (+ 1 (* (* x x) x))) (log (+ (- 1 x) (* x x))))
39.0ms	(log (+ (- 1 x) (* x x)))
494.0ms	(log (+ 1 (* (* x x) x)))

simplify1.3s

Counts

99 → 99

Iterations

Iter	Nodes
3	2567
2	962
1	398
0	173

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize26.0ms

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))))
14.2b	(log (+ (- 1 x) (* x x)))
17.0b	(log (+ 1 (* x (* x x))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

26.0ms	(* x (* x x))
39.0ms	(- (log (+ 1 (* x (* x x)))) (log (+ (- 1 x) (* x x))))
26.0ms	(log (+ (- 1 x) (* x x)))
3.0ms	(log (+ 1 (* x (* x x))))

series673.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* x (* x x))
101.0ms	(- (log (+ 1 (* x (* x x)))) (log (+ (- 1 x) (* x x))))
33.0ms	(log (+ (- 1 x) (* x x)))
478.0ms	(log (+ 1 (* x (* x x))))

simplify1.7s

Counts

95 → 95

Iterations

Iter	Nodes
3	3296
2	956
1	375
0	174

prune788.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.1b

regimes160.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 20.9b

bsearch2.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	20
1	20
0	14

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.7s	2296×	body	1280	valid
696.0ms	1662×	body	640	valid
197.0ms	810×	body	320	valid
177.0ms	2826×	body	80	valid
97.0ms	2688×	body	80	nan
51.0ms	406×	body	160	valid