Details

sample90.0ms

Algorithm

intervals

Results

49.0ms	65×	body	1280	valid
18.0ms	55×	body	640	valid
5.0ms	30×	body	320	valid
4.0ms	96×	body	80	valid
2.0ms	75×	body	80	nan
1.0ms	10×	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: 37.8b

localize12.0ms

Local error

Found 1 expressions with local error:

3.3b	(log (+ 1 x))

rewrite9.0ms

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:

8.0ms

(log (+ 1 x))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(log (+ 1 x))

simplify3.1s

Counts

19 → 19

Iterations

Iter	Nodes
done	5002
5	4335
4	1444
3	558
2	241
1	112
0	55

prune83.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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:

43.0ms	(* (* x x) (- (* 1/3 x) 1/2))
6.0ms	(* 1/3 x)

series129.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(* (* x x) (- (* 1/3 x) 1/2))
17.0ms	(* 1/3 x)

simplify2.8s

Counts

51 → 51

Iterations

Iter	Nodes
done	5006
3	3248
2	698
1	228
0	81

prune189.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (log (+ 1 x))) (cbrt (log (+ 1 x))))
3.3b	(log (+ 1 x))
3.3b	(log (+ 1 x))
3.3b	(log (+ 1 x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
23×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`pow1`
15×	`add-cube-cbrt`
12×	`log-prod`
9×	`swap-sqr` `add-exp-log` `log-pow`
7×	`associate-r` `associate-l`
6×	`log-div` `pow1/3`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 94

Calls

4 calls:

26.0ms	(* (cbrt (log (+ 1 x))) (cbrt (log (+ 1 x))))
8.0ms	(log (+ 1 x))
8.0ms	(log (+ 1 x))
8.0ms	(log (+ 1 x))

series215.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (cbrt (log (+ 1 x))) (cbrt (log (+ 1 x))))
39.0ms	(log (+ 1 x))
27.0ms	(log (+ 1 x))
32.0ms	(log (+ 1 x))

simplify3.0s

Counts

106 → 106

Iterations

Iter	Nodes
done	5003
3	4688
2	1275
1	444
0	166

prune403.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (* (log (+ 1 x)) (log (+ 1 x))))
3.3b	(log (+ 1 x))
3.3b	(log (+ 1 x))
3.3b	(log (+ 1 x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(cbrt (* (log (+ 1 x)) (log (+ 1 x))))
4.0ms	(log (+ 1 x))
7.0ms	(log (+ 1 x))
5.0ms	(log (+ 1 x))

series164.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt (* (log (+ 1 x)) (log (+ 1 x))))
22.0ms	(log (+ 1 x))
23.0ms	(log (+ 1 x))
31.0ms	(log (+ 1 x))

simplify3.8s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
3	4548
2	1145
1	368
0	141

prune361.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes201.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 20.0b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.8s	2290×	body	1280	valid
1.1s	1708×	body	640	valid
165.0ms	845×	body	320	valid
152.0ms	2721×	body	80	valid
79.0ms	2694×	body	80	nan
49.0ms	436×	body	160	valid