Details

sample90.0ms

Algorithm

intervals

Results

50.0ms	74×	body	1280	valid
19.0ms	57×	body	640	valid
5.0ms	25×	body	320	valid
4.0ms	87×	body	80	valid
3.0ms	91×	body	80	nan
1.0ms	13×	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

localize6.0ms

Local error

Found 1 expressions with local error:

4.4b	(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:

3.0ms

(log (+ 1 x))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(log (+ 1 x))

simplify1.1s

Counts

19 → 19

Iterations

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

prune153.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* x x) (- (* 1/3 x) 1/2)))
0.1b	(* (* x x) (- (* 1/3 x) 1/2))
0.4b	(* 1/3 x)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

7.0ms	(+ x (* (* x x) (- (* 1/3 x) 1/2)))
49.0ms	(* (* x x) (- (* 1/3 x) 1/2))
10.0ms	(* 1/3 x)

series187.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ x (* (* x x) (- (* 1/3 x) 1/2)))
111.0ms	(* (* x x) (- (* 1/3 x) 1/2))
24.0ms	(* 1/3 x)

simplify1.8s

Counts

70 → 70

Iterations

Iter	Nodes
3	3636
2	831
1	287
0	103

prune463.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x x) (* 1/3 x))
0.4b	(* 1/3 x)
8.4b	(+ (+ x (* (* x x) (* 1/3 x))) (* (* x x) (- 1/2)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-log-exp`
7×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `associate-l`
3×	`sum-log` `insert-posit16`
2×	`*-commutative` `distribute-rgt-neg-out`
1×	`+-commutative` `associate-+l+` `flip3-+` `unsub-neg` `flip-+` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

25.0ms	(* (* x x) (* 1/3 x))
8.0ms	(* 1/3 x)
26.0ms	(+ (+ x (* (* x x) (* 1/3 x))) (* (* x x) (- 1/2)))

series115.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* (* x x) (* 1/3 x))
18.0ms	(* 1/3 x)
46.0ms	(+ (+ x (* (* x x) (* 1/3 x))) (* (* x x) (- 1/2)))

simplify5.0s

Counts

67 → 67

Iterations

Iter	Nodes
3	7539
2	1122
1	275
0	93

prune563.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 1 x))
0.2b	(cbrt (+ 1 x))
4.4b	(log (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
4.4b	(log (cbrt (+ 1 x)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
14×	`*-un-lft-identity`
13×	`pow1`
12×	`cbrt-prod`
11×	`log-pow`
10×	`log-div`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-sqr-sqrt` `log-prod` `add-exp-log` `add-cube-cbrt`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`rem-log-exp` `distribute-lft-out`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 78

Calls

4 calls:

5.0ms	(cbrt (+ 1 x))
9.0ms	(cbrt (+ 1 x))
23.0ms	(log (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
7.0ms	(log (cbrt (+ 1 x)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt (+ 1 x))
52.0ms	(cbrt (+ 1 x))
72.0ms	(log (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))
67.0ms	(log (cbrt (+ 1 x)))

simplify2.0s

Counts

90 → 90

Iterations

Iter	Nodes
4	3196
3	1344
2	640
1	313
0	153

prune812.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes113.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 20.7b

bsearch2.0ms

simplify10.0ms

Iterations

Iter	Nodes
4	32
3	32
2	28
1	25
0	16

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.7s	2223×	body	1280	valid
1.1s	1706×	body	640	valid
181.0ms	853×	body	320	valid
168.0ms	2807×	body	80	valid
97.0ms	2698×	body	80	nan
88.0ms	411×	body	160	valid