Details

sample137.0ms

Algorithm

intervals

Results

81.0ms	83×	body	1280	valid
25.0ms	50×	body	640	valid
8.0ms	27×	body	320	valid
6.0ms	88×	body	80	valid
4.0ms	82×	body	80	nan
1.0ms	8×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.9b

localize12.0ms

Local error

Found 1 expressions with local error:

2.8b	(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:

7.0ms

(log (+ 1 x))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(log (+ 1 x))

simplify1.6s

Counts

19 → 19

Iterations

Iter	Nodes
done	5000
4	1834
3	627
2	260
1	112
0	55

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

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×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`insert-posit16`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in`

Counts

3 → 55

Calls

3 calls:

5.0ms	(+ -1/2 (* 1/3 x))
34.0ms	(* (* x x) (+ -1/2 (* 1/3 x)))
11.0ms	(* 1/3 x)

series220.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ -1/2 (* 1/3 x))
137.0ms	(* (* x x) (+ -1/2 (* 1/3 x)))
17.0ms	(* 1/3 x)

simplify1.4s

Counts

64 → 64

Iterations

Iter	Nodes
done	5003
2	1287
1	271
0	90

prune231.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

1.0b	(log (- 1 (* x x)))
2.8b	(log (- 1 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

11×	`log-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `log-div` `add-exp-log` `add-cube-cbrt` `difference-of-squares`
2×	`flip3--` `add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `flip--` `add-log-exp`
1×	`distribute-lft-out--`

Counts

2 → 35

Calls

2 calls:

3.0ms	(log (- 1 (* x x)))
6.0ms	(log (- 1 x))

series147.0ms

Counts

2 → 6

Calls

2 calls:

122.0ms	(log (- 1 (* x x)))
25.0ms	(log (- 1 x))

simplify1.9s

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
3	2496
2	696
1	259
0	116

prune132.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

1.0b	(log (- 1 (* x x)))
2.8b	(log (- 1 x))
2.8b	(log (- 1 x))
2.8b	(log (- 1 x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

23×	`log-prod`
18×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`pow1` `log-div` `add-exp-log` `add-cube-cbrt` `difference-of-squares`
4×	`flip3--` `add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `flip--` `add-log-exp`
3×	`distribute-lft-out--`

Counts

4 → 71

Calls

4 calls:

3.0ms	(log (- 1 (* x x)))
3.0ms	(log (- 1 x))
3.0ms	(log (- 1 x))
4.0ms	(log (- 1 x))

series247.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(log (- 1 (* x x)))
25.0ms	(log (- 1 x))
34.0ms	(log (- 1 x))
38.0ms	(log (- 1 x))

simplify1.9s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
3	2496
2	696
1	259
0	116

prune333.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes91.0ms

Accuracy

97.2% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 20.9b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	14

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.7s	2245×	body	1280	valid
687.0ms	1660×	body	640	valid
184.0ms	831×	body	320	valid
144.0ms	2721×	body	80	nan
141.0ms	2836×	body	80	valid
55.0ms	428×	body	160	valid