Details

sample89.0ms

Algorithm

intervals

Results

41.0ms	187×	body	160	valid
20.0ms	69×	body	320	valid
10.0ms	256×	pre	80	true

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2713
4	796
3	230
2	83
1	30
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize5.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (* t 2e-16) (* t 2e-16))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

40×	`pow1`
17×	`pow-prod-down`
13×	`add-cbrt-cube` `add-exp-log`
8×	`prod-exp` `cbrt-unprod`
4×	`pow-sqr` `pow-prod-up`
2×	`pow-plus`
1×	`pow2` `add-sqr-sqrt` `expm1-log1p-u` `-un-lft-identity` `swap-sqr` `associate-r` `associate-l` `-commutative` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

36.0ms

(* (* t 2e-16) (* t 2e-16))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (* t 2e-16) (* t 2e-16))

simplify2.0s

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
3	1413
2	355
1	99
0	41

prune57.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* t (* 2e-16 (* t 2e-16)))
0.2b	(* 2e-16 (* t 2e-16))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`expm1-log1p-u` `associate-r` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 45

Calls

2 calls:

33.0ms	(* t (* 2e-16 (* t 2e-16)))
13.0ms	(* 2e-16 (* t 2e-16))

series50.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* t (* 2e-16 (* t 2e-16)))
17.0ms	(* 2e-16 (* t 2e-16))

simplify2.5s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
3	2076
2	493
1	147
0	60

prune133.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* t (* 3.9999999999999997e-32 t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

13.0ms

(* t (* 3.9999999999999997e-32 t))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(* t (* 3.9999999999999997e-32 t))

simplify4.5s

Counts

24 → 24

Iterations

Iter	Nodes
done	5001
4	3254
3	755
2	256
1	86
0	37

prune105.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* t 2e-16) t)
0.3b	(* (* (* t 2e-16) t) 2e-16)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 45

Calls

2 calls:

24.0ms	(* (* t 2e-16) t)
62.0ms	(* (* (* t 2e-16) t) 2e-16)

series89.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (* t 2e-16) t)
49.0ms	(* (* (* t 2e-16) t) 2e-16)

simplify2.4s

Counts

51 → 51

Iterations

Iter	Nodes
done	5001
3	2566
2	592
1	167
0	65

prune114.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes32.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	4

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.5s	5987×	body	160	valid
555.0ms	2013×	body	320	valid
233.0ms	8000×	pre	80	true