Details

sample130.0ms

Algorithm

intervals

Results

92.0ms

503×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
6	2452
5	1745
4	1125
3	543
2	196
1	66
0	28

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a 4.0) t)
0.4b	(* (* j 27.0) k)
3.0b	(* (* (* x 18.0) y) z)
4.4b	(* (* (* (* x 18.0) y) z) t)

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `insert-posit16` `add-log-exp`

Counts

4 → 85

Calls

4 calls:

23.0ms	(* (* a 4.0) t)
24.0ms	(* (* j 27.0) k)
55.0ms	(* (* (* x 18.0) y) z)
154.0ms	(* (* (* (* x 18.0) y) z) t)

series179.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* a 4.0) t)
33.0ms	(* (* j 27.0) k)
37.0ms	(* (* (* x 18.0) y) z)
73.0ms	(* (* (* (* x 18.0) y) z) t)

simplify3.5s

Counts

97 → 97

Iterations

Iter	Nodes
3	9008
2	1700
1	432
0	160

prune2.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.7b

localize95.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* (* j 27.0) k)
3.0b	(* (* (* x 18.0) y) z)
4.4b	(* (* (* (* x 18.0) y) z) t)

rewrite340.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `insert-posit16` `add-log-exp`

Counts

4 → 85

Calls

4 calls:

15.0ms	(* (* x 18.0) y)
27.0ms	(* (* j 27.0) k)
84.0ms	(* (* (* x 18.0) y) z)
213.0ms	(* (* (* (* x 18.0) y) z) t)

series175.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x 18.0) y)
41.0ms	(* (* j 27.0) k)
37.0ms	(* (* (* x 18.0) y) z)
61.0ms	(* (* (* (* x 18.0) y) z) t)

simplify4.3s

Counts

97 → 97

Iterations

Iter	Nodes
3	9166
2	1558
1	370
0	141

prune1.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.7b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* 27.0 (* j k))
3.0b	(* (* (* x 18.0) y) z)
4.4b	(* (* (* (* x 18.0) y) z) t)

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`*-commutative` `insert-posit16` `add-log-exp`

Counts

4 → 85

Calls

4 calls:

15.0ms	(* (* x 18.0) y)
13.0ms	(* 27.0 (* j k))
54.0ms	(* (* (* x 18.0) y) z)
206.0ms	(* (* (* (* x 18.0) y) z) t)

series170.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 18.0) y)
24.0ms	(* 27.0 (* j k))
46.0ms	(* (* (* x 18.0) y) z)
70.0ms	(* (* (* (* x 18.0) y) z) t)

simplify3.2s

Counts

97 → 97

Iterations

Iter	Nodes
3	8475
2	1451
1	354
0	137

prune2.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize65.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))
0.3b	(* (sqrt 27.0) (* j k))
3.0b	(* (* (* x 18.0) y) z)
4.4b	(* (* (* (* x 18.0) y) z) t)

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1` `add-cbrt-cube` `add-exp-log`
25×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`associate-l`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
6×	`sqrt-prod`
4×	`*-commutative` `insert-posit16` `add-log-exp`

Counts

4 → 94

Calls

4 calls:

57.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))
22.0ms	(* (sqrt 27.0) (* j k))
59.0ms	(* (* (* x 18.0) y) z)
190.0ms	(* (* (* (* x 18.0) y) z) t)

series230.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* j k)))
54.0ms	(* (sqrt 27.0) (* j k))
36.0ms	(* (* (* x 18.0) y) z)
52.0ms	(* (* (* (* x 18.0) y) z) t)

simplify3.0s

Counts

106 → 106

Iterations

Iter	Nodes
3	8721
2	1583
1	398
0	151

prune2.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

regimes2.0s

Accuracy

40.4% (2.9b remaining)

Error of 3.6b against oracle of 0.7b and baseline of 5.5b

bsearch582.0ms

Steps

Iters	Range		Point
10	1.5139789371471324e-89	3.6526583824798354e-78	6.353966005555308e-89
11	-2.3242159893688947e+93	-3.899033934035966e+62	-5.023825023846045e+64

simplify16.0ms

Iterations

Iter	Nodes
2	75
1	75
0	52

end1.0ms

sample5.0s

Algorithm

intervals

Results

3.8s

15907×

body

valid