Details

sample83.0ms

Algorithm

intervals

Results

45.0ms	77×	body	1280	valid
15.0ms	52×	body	640	valid
7.0ms	26×	body	320	valid
3.0ms	87×	body	80	valid
2.0ms	83×	body	80	nan
1.0ms	14×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.8b

localize6.0ms

Local error

Found 1 expressions with local error:

3.4b	(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))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(log (+ 1 x))

simplify821.0ms

Counts

19 → 19

Iterations

Iter	Nodes
done	5000
3	1213
2	338
1	122
0	55

prune56.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

7.0ms	(+ x (* (* x x) (+ (* x 1/3) -1/2)))
7.0ms	(+ (* x 1/3) -1/2)
42.0ms	(* (* x x) (+ (* x 1/3) -1/2))
10.0ms	(* x 1/3)

series222.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ x (* (* x x) (+ (* x 1/3) -1/2)))
44.0ms	(+ (* x 1/3) -1/2)
118.0ms	(* (* x x) (+ (* x 1/3) -1/2))
27.0ms	(* x 1/3)

simplify2.5s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	2705
1	361
0	113

prune273.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 1/3) -1/2)
0.1b	(* (* x x) (+ (* x 1/3) -1/2))
0.4b	(* x 1/3)
1.9b	(log (exp (* (* x x) (+ (* x 1/3) -1/2))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

7.0ms	(+ (* x 1/3) -1/2)
50.0ms	(* (* x x) (+ (* x 1/3) -1/2))
11.0ms	(* x 1/3)
10.0ms	(log (exp (* (* x x) (+ (* x 1/3) -1/2))))

series333.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* x 1/3) -1/2)
116.0ms	(* (* x x) (+ (* x 1/3) -1/2))
29.0ms	(* x 1/3)
128.0ms	(log (exp (* (* x x) (+ (* x 1/3) -1/2))))

simplify2.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	5002
2	2429
1	335
0	117

prune307.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1 x)))
3.4b	(log (+ 1 x))
3.4b	(log (+ 1 x))
3.4b	(log (+ 1 x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`log-prod`
8×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
7×	`add-exp-log`
6×	`log-div`
4×	`cbrt-prod` `add-cbrt-cube` `log-pow` `insert-posit16` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt (log (+ 1 x)))
3.0ms	(log (+ 1 x))
3.0ms	(log (+ 1 x))
4.0ms	(log (+ 1 x))

series148.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(cbrt (log (+ 1 x)))
28.0ms	(log (+ 1 x))
40.0ms	(log (+ 1 x))
25.0ms	(log (+ 1 x))

simplify1.1s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	972
1	293
0	114

prune368.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes144.0ms

Accuracy

98.6% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.1b

bsearch2.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	14

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.7s	2188×	body	1280	valid
719.0ms	1682×	body	640	valid
182.0ms	841×	body	320	valid
178.0ms	2857×	body	80	valid
103.0ms	2800×	body	80	nan
90.0ms	432×	body	160	valid