Details

sample101.0ms

Algorithm

intervals

Results

55.0ms	69×	body	1280	valid
19.0ms	52×	body	640	valid
7.0ms	33×	body	320	valid
4.0ms	88×	body	80	valid
3.0ms	85×	body	80	nan
2.0ms	14×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	5
1	5
0	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.7b

localize12.0ms

Local error

Found 1 expressions with local error:

5.0b	(log (+ 1 x))

rewrite7.0ms

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:

6.0ms

(log (+ 1 x))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(log (+ 1 x))

simplify1.1s

Counts

19 → 19

Iterations

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

prune174.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

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:

68.0ms	(* (* x x) (- (* 1/3 x) 1/2))
10.0ms	(* 1/3 x)

series145.0ms

Counts

2 → 6

Calls

2 calls:

120.0ms	(* (* x x) (- (* 1/3 x) 1/2))
24.0ms	(* 1/3 x)

simplify1.1s

Counts

51 → 51

Iterations

Iter	Nodes
3	2254
2	617
1	222
0	81

prune414.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

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)))))
15.0b	(log (+ 1 (* (* x x) x)))
17.1b	(log (- 1 (- x (* x x))))

rewrite57.0ms

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:

26.0ms	(* (* x x) x)
17.0ms	(- (log (+ 1 (* (* x x) x))) (log (- 1 (- x (* x x)))))
3.0ms	(log (+ 1 (* (* x x) x)))
10.0ms	(log (- 1 (- x (* x x))))

series622.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* x x) x)
89.0ms	(- (log (+ 1 (* (* x x) x))) (log (- 1 (- x (* x x)))))
449.0ms	(log (+ 1 (* (* x x) x)))
49.0ms	(log (- 1 (- x (* x x))))

simplify1.4s

Counts

105 → 105

Iterations

Iter	Nodes
3	2612
2	978
1	405
0	184

prune791.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

5.6b	(sqrt (+ 1 (* (* x x) x)))
9.2b	(log (sqrt (+ 1 (* (* x x) x))))
9.2b	(log (sqrt (+ 1 (* (* x x) x))))
17.1b	(log (- 1 (- x (* x x))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
14×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`pow1` `add-cube-cbrt`
9×	`sqrt-prod`
7×	`add-exp-log` `log-pow`
6×	`log-div` `sqrt-div`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`sqrt-pow1` `flip3-+` `pow1/2` `rem-log-exp` `flip-+`
2×	`difference-of-squares`
1×	`rem-sqrt-square` `flip3--` `flip--` `distribute-lft-out--`

Counts

4 → 74

Calls

4 calls:

7.0ms	(sqrt (+ 1 (* (* x x) x)))
6.0ms	(log (sqrt (+ 1 (* (* x x) x))))
6.0ms	(log (sqrt (+ 1 (* (* x x) x))))
21.0ms	(log (- 1 (- x (* x x))))

series939.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sqrt (+ 1 (* (* x x) x)))
435.0ms	(log (sqrt (+ 1 (* (* x x) x))))
407.0ms	(log (sqrt (+ 1 (* (* x x) x))))
52.0ms	(log (- 1 (- x (* x x))))

simplify1.6s

Counts

86 → 86

Iterations

Iter	Nodes
3	2280
2	776
1	309
0	147

prune700.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 20.5b

bsearch2.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	18
1	18
0	14

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.6s	2227×	body	1280	valid
680.0ms	1707×	body	640	valid
178.0ms	879×	body	320	valid
168.0ms	2777×	body	80	valid
145.0ms	2567×	body	80	nan
49.0ms	410×	body	160	valid