Details

sample123.0ms

Algorithm

intervals

Results

68.0ms

500×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2272
4	1125
3	543
2	196
1	66
0	28

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize73.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
6.3b	(* (* (* (* x 18.0) y) z) t)
6.9b	(* (* (* x 18.0) y) z)

rewrite342.0ms

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` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

27.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
229.0ms	(* (* (* (* x 18.0) y) z) t)
65.0ms	(* (* (* x 18.0) y) z)

series157.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 18.0) y)
28.0ms	(* (* j 27.0) k)
56.0ms	(* (* (* (* x 18.0) y) z) t)
50.0ms	(* (* (* x 18.0) y) z)

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1417
1	366
0	137

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.3b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c))
0.2b	(* (* j 27.0) k)
4.8b	(* (* x 18.0) (* y z))
6.3b	(* (* (* x 18.0) (* y z)) t)

rewrite641.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-cbrt-cube` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`associate-r`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 82

Calls

4 calls:

495.0ms	(+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c))
24.0ms	(* (* j 27.0) k)
30.0ms	(* (* x 18.0) (* y z))
90.0ms	(* (* (* x 18.0) (* y z)) t)

series417.0ms

Counts

4 → 12

Calls

4 calls:

298.0ms	(+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c))
22.0ms	(* (* j 27.0) k)
44.0ms	(* (* x 18.0) (* y z))
53.0ms	(* (* (* x 18.0) (* y z)) t)

simplify1.6s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	1878
1	455
0	161

prune909.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 18.0) (* (* y z) t)) (* (* a 4.0) t)) (* b c))
0.2b	(* (* j 27.0) k)
3.5b	(* (* x 18.0) (* (* y z) t))
5.2b	(* (* y z) t)

rewrite456.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`associate-r`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 79

Calls

4 calls:

326.0ms	(+ (- (* (* x 18.0) (* (* y z) t)) (* (* a 4.0) t)) (* b c))
24.0ms	(* (* j 27.0) k)
77.0ms	(* (* x 18.0) (* (* y z) t))
27.0ms	(* (* y z) t)

series448.0ms

Counts

4 → 12

Calls

4 calls:

316.0ms	(+ (- (* (* x 18.0) (* (* y z) t)) (* (* a 4.0) t)) (* b c))
38.0ms	(* (* j 27.0) k)
67.0ms	(* (* x 18.0) (* (* y z) t))
27.0ms	(* (* y z) t)

simplify1.5s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1791
1	451
0	159

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 18.0) (* (* y z) t)) (* (* a 4.0) t)) (* b c))
0.2b	(* j (* 27.0 k))
3.5b	(* (* x 18.0) (* (* y z) t))
5.2b	(* (* y z) t)

rewrite409.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+`

Counts

4 → 79

Calls

4 calls:

295.0ms	(+ (- (* (* x 18.0) (* (* y z) t)) (* (* a 4.0) t)) (* b c))
21.0ms	(* j (* 27.0 k))
64.0ms	(* (* x 18.0) (* (* y z) t))
26.0ms	(* (* y z) t)

series398.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(+ (- (* (* x 18.0) (* (* y z) t)) (* (* a 4.0) t)) (* b c))
31.0ms	(* j (* 27.0 k))
59.0ms	(* (* x 18.0) (* (* y z) t))
33.0ms	(* (* y z) t)

simplify2.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1730
1	440
0	157

prune857.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes3.9s

Accuracy

43.8% (3.3b remaining)

Error of 3.9b against oracle of 0.6b and baseline of 6.5b

bsearch427.0ms

Steps

Iters	Range		Point
8	2.857840802032141e-82	3.8521190936169066e-78	1.9198045788310605e-79
6	-5.7653218184914694e-98	-1.1208514976611795e-98	-4.817835946533627e-98

simplify18.0ms

Iterations

Iter	Nodes
done	64
1	64
0	43

end0.0ms

sample4.5s

Algorithm

intervals

Results

3.1s

16152×

body

valid