Details

sample115.0ms

Algorithm

intervals

Results

60.0ms

523×

body

valid

simplify6.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (5.3s)

Iter	Nodes	Cost
0	28	31
1	67	29
2	221	27
3	757	27
4	2623	27
5	4397	26
done	5000	26

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a 4.0) t)
0.4b	(* (* j 27.0) k)
3.8b	(* (* (* x 18.0) y) z)
3.9b	(* (* (* (* x 18.0) y) z) t)

rewrite453.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

18.0ms	(* (* a 4.0) t)
17.0ms	(* (* j 27.0) k)
70.0ms	(* (* (* x 18.0) y) z)
342.0ms	(* (* (* (* x 18.0) y) z) t)

series180.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* a 4.0) t)
38.0ms	(* (* j 27.0) k)
50.0ms	(* (* (* x 18.0) y) z)
57.0ms	(* (* (* (* x 18.0) y) z) t)

simplify2.1s

Counts

101 → 101

Iterations

Useful iterations: 2 (475.0ms)

Iter	Nodes	Cost
0	164	974
1	419	944
2	1893	738
done	5001	738

prune471.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* a 4.0) t)
3.8b	(* (* (* x 18.0) y) z)
3.9b	(* (* (* (* x 18.0) y) z) t)

rewrite429.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

27.0ms	(* (* x 18.0) y)
18.0ms	(* (* a 4.0) t)
85.0ms	(* (* (* x 18.0) y) z)
292.0ms	(* (* (* (* x 18.0) y) z) t)

series173.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x 18.0) y)
29.0ms	(* (* a 4.0) t)
37.0ms	(* (* (* x 18.0) y) z)
74.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.9s

Counts

101 → 101

Iterations

Useful iterations: 2 (427.0ms)

Iter	Nodes	Cost
0	138	974
1	350	944
2	1683	738
done	5000	738

prune493.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

3.9b	(* (* (* (* x 18.0) y) z) t)
8.9b	(cbrt (* (* a 4.0) t))
8.9b	(cbrt (* (* a 4.0) t))
8.9b	(cbrt (* (* a 4.0) t))

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 59

Calls

4 calls:

272.0ms	(* (* (* (* x 18.0) y) z) t)
13.0ms	(cbrt (* (* a 4.0) t))
26.0ms	(cbrt (* (* a 4.0) t))
19.0ms	(cbrt (* (* a 4.0) t))

series498.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* (* (* x 18.0) y) z) t)
159.0ms	(cbrt (* (* a 4.0) t))
130.0ms	(cbrt (* (* a 4.0) t))
141.0ms	(cbrt (* (* a 4.0) t))

simplify1.5s

Counts

71 → 71

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	115	769
1	287	751
2	1126	622
done	5000	607

prune543.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
0.2b	(* (* a 4.0) t)
6.2b	(* (* (* x 18.0) y) (* t z))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

40×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 90

Calls

4 calls:

31.0ms	(* j (* 27.0 k))
23.0ms	(* (* x 18.0) y)
22.0ms	(* (* a 4.0) t)
88.0ms	(* (* (* x 18.0) y) (* t z))

series141.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* j (* 27.0 k))
28.0ms	(* (* x 18.0) y)
36.0ms	(* (* a 4.0) t)
57.0ms	(* (* (* x 18.0) y) (* t z))

simplify1.4s

Counts

102 → 102

Iterations

Useful iterations: 2 (307.0ms)

Iter	Nodes	Cost
0	161	958
1	406	930
2	1766	714
done	5000	714

prune462.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.3s

Accuracy

28.1% (3.9b remaining)

Error of 4.1b against oracle of 0.2b and baseline of 5.6b

bsearch880.0ms

Steps

Iters	Range		Point
9	1.527175545795471e+31	1.535468812280115e+40	3.6329201731618046e+34
9	-3.8178828777837515e+43	-1.187703393884397e+37	-7.994779526653589e+37

simplify20.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	53	103
1	78	101
done	78	101

end0.0ms

sample4.6s

Algorithm

intervals

Results

3.0s

16170×

body

valid