Details

sample143.0ms

Algorithm

intervals

Results

73.0ms

514×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
5.4b	(* (* (* x 18.0) y) z)
6.1b	(* (* (* (* x 18.0) y) z) t)

rewrite344.0ms

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:

23.0ms	(* (* x 18.0) y)
14.0ms	(* (* j 27.0) k)
46.0ms	(* (* (* x 18.0) y) z)
256.0ms	(* (* (* (* x 18.0) y) z) t)

series186.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* x 18.0) y)
37.0ms	(* (* j 27.0) k)
49.0ms	(* (* (* x 18.0) y) z)
65.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1416
1	366
0	137

prune978.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.8b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
5.4b	(* (* (* x 18.0) y) z)
6.1b	(* (* (* (* x 18.0) y) z) t)

rewrite279.0ms

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` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

27.0ms	(* (* x 18.0) y)
24.0ms	(* j (* 27.0 k))
51.0ms	(* (* (* x 18.0) y) z)
172.0ms	(* (* (* (* x 18.0) y) z) t)

series196.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* x 18.0) y)
25.0ms	(* j (* 27.0 k))
51.0ms	(* (* (* x 18.0) y) z)
88.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1319
1	355
0	135

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.8b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* 27.0 (* j k))
5.4b	(* (* (* x 18.0) y) z)
6.1b	(* (* (* (* x 18.0) y) z) t)

rewrite295.0ms

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` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

27.0ms	(* (* x 18.0) y)
13.0ms	(* 27.0 (* j k))
56.0ms	(* (* (* x 18.0) y) z)
194.0ms	(* (* (* (* x 18.0) y) z) t)

series193.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* x 18.0) y)
36.0ms	(* 27.0 (* j k))
51.0ms	(* (* (* x 18.0) y) z)
66.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1380
1	350
0	133

prune844.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.8b

localize83.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* k (* j 27.0)) (* (* i x) 4.0))
0.2b	(* k (* j 27.0))
2.9b	(* (- (* (* y x) (* z 18.0)) (* a 4.0)) t)
5.6b	(* (* y x) (* z 18.0))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-r`
3×	`*-commutative`
2×	`associate-*l/`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `flip-+` `flip--` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

17.0ms	(+ (* k (* j 27.0)) (* (* i x) 4.0))
12.0ms	(* k (* j 27.0))
120.0ms	(* (- (* (* y x) (* z 18.0)) (* a 4.0)) t)
49.0ms	(* (* y x) (* z 18.0))

series264.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ (* k (* j 27.0)) (* (* i x) 4.0))
20.0ms	(* k (* j 27.0))
123.0ms	(* (- (* (* y x) (* z 18.0)) (* a 4.0)) t)
40.0ms	(* (* y x) (* z 18.0))

simplify1.4s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	1544
1	428
0	158

prune664.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.8b

regimes2.2s

Accuracy

18.9% (4.2b remaining)

Error of 4.8b against oracle of 0.6b and baseline of 5.8b

bsearch773.0ms

Steps

Iters	Range		Point
8	1.5278360945098595e-94	1.3036727792864405e-91	4.461860870917308e-94
9	-2.5922252158485986e-307	9.787091512391477e-304	-2.5560702203240676e-307

simplify15.0ms

Iterations

Iter	Nodes
done	71
1	71
0	46

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.7s

16269×

body

valid