Details

sample120.0ms

Algorithm

intervals

Results

64.0ms	66×	body	1280	valid
25.0ms	49×	body	640	valid
8.0ms	30×	body	320	valid
6.0ms	97×	body	80	valid
4.0ms	107×	body	80	nan
2.0ms	14×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	5
1	5
0	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.0b

localize6.0ms

Local error

Found 1 expressions with local error:

3.7b	(log (+ 1 x))

rewrite3.0ms

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))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(log (+ 1 x))

simplify1.2s

Counts

19 → 19

Iterations

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

prune143.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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))
0.3b	(* 1/3 x)

rewrite69.0ms

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:

8.0ms	(+ x (* (* x x) (- (* 1/3 x) 1/2)))
49.0ms	(* (* x x) (- (* 1/3 x) 1/2))
11.0ms	(* 1/3 x)

series166.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ x (* (* x x) (- (* 1/3 x) 1/2)))
110.0ms	(* (* x x) (- (* 1/3 x) 1/2))
23.0ms	(* 1/3 x)

simplify1.8s

Counts

70 → 70

Iterations

Iter	Nodes
3	3636
2	831
1	287
0	103

prune516.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1 x))
0.0b	(sqrt (+ 1 x))
3.7b	(log (sqrt (+ 1 x)))
3.7b	(log (sqrt (+ 1 x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 76

Calls

4 calls:

9.0ms	(sqrt (+ 1 x))
8.0ms	(sqrt (+ 1 x))
7.0ms	(log (sqrt (+ 1 x)))
7.0ms	(log (sqrt (+ 1 x)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sqrt (+ 1 x))
36.0ms	(sqrt (+ 1 x))
62.0ms	(log (sqrt (+ 1 x)))
57.0ms	(log (sqrt (+ 1 x)))

simplify1.3s

Counts

88 → 88

Iterations

Iter	Nodes
5	2217
4	1086
3	520
2	290
1	146
0	81

prune747.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ 1 x)))
3.7b	(log (sqrt (+ 1 x)))
3.8b	(log (sqrt (sqrt (+ 1 x))))
3.8b	(log (sqrt (sqrt (+ 1 x))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

38×	`sqrt-prod`
27×	`log-prod`
22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`pow1` `sqrt-div` `add-cube-cbrt`
13×	`sqrt-pow1` `log-pow`
7×	`pow1/2` `add-exp-log`
6×	`log-div`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
3×	`rem-log-exp`
2×	`rem-sqrt-square`

Counts

4 → 96

Calls

4 calls:

10.0ms	(sqrt (sqrt (+ 1 x)))
7.0ms	(log (sqrt (+ 1 x)))
4.0ms	(log (sqrt (sqrt (+ 1 x))))
5.0ms	(log (sqrt (sqrt (+ 1 x))))

series289.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt (sqrt (+ 1 x)))
74.0ms	(log (sqrt (+ 1 x)))
64.0ms	(log (sqrt (sqrt (+ 1 x))))
89.0ms	(log (sqrt (sqrt (+ 1 x))))

simplify3.8s

Counts

108 → 108

Iterations

Iter	Nodes
4	3726
3	1551
2	680
1	286
0	152

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes127.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 20.8b

bsearch2.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	31
1	31
0	23

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.2s	2224×	body	1280	valid
751.0ms	1712×	body	640	valid
207.0ms	2802×	body	80	valid
183.0ms	825×	body	320	valid
99.0ms	2651×	body	80	nan
58.0ms	437×	body	160	valid