Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

352×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	17
1	34	17
2	80	17
3	207	17
4	380	17
5	467	17
6	476	17
7	499	17
8	582	17
9	922	17
done	922	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* a 27.0) b)
0.3b	(* (* y 9.0) z)
5.2b	(* (* (* y 9.0) z) t)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

2.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
6.0ms	(* (* a 27.0) b)
6.0ms	(* (* y 9.0) z)
22.0ms	(* (* (* y 9.0) z) t)

series131.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
19.0ms	(* (* a 27.0) b)
19.0ms	(* (* y 9.0) z)
26.0ms	(* (* (* y 9.0) z) t)

simplify675.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	133	816
1	348	775
2	1493	651
done	5000	651

prune199.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 2.0) (- (* 9.0 (* t (* z y)))))
0.2b	(* (* a 27.0) b)
0.2b	(* 9.0 (* t (* z y)))
5.2b	(* t (* z y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
5×	`associate-r`
3×	`*-commutative`
2×	`sum-log`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3-+` `unsub-neg` `neg-log` `flip-+`

Counts

4 → 72

Calls

4 calls:

4.0ms	(+ (* x 2.0) (- (* 9.0 (* t (* z y)))))
6.0ms	(* (* a 27.0) b)
17.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* t (* z y))

series171.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (* x 2.0) (- (* 9.0 (* t (* z y)))))
33.0ms	(* (* a 27.0) b)
43.0ms	(* 9.0 (* t (* z y)))
25.0ms	(* t (* z y))

simplify568.0ms

Counts

84 → 84

Iterations

Useful iterations: done (566.0ms)

Iter	Nodes	Cost
0	130	828
1	350	786
2	1429	646
done	5000	645

prune209.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* 9.0 (* z y)) t))
0.2b	(* (* a 27.0) b)
0.3b	(* 9.0 (* z y))
5.2b	(* (* 9.0 (* z y)) t)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`add-log-exp`
5×	`associate-l`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

2.0ms	(- (* x 2.0) (* (* 9.0 (* z y)) t))
9.0ms	(* (* a 27.0) b)
6.0ms	(* 9.0 (* z y))
18.0ms	(* (* 9.0 (* z y)) t)

series134.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (* x 2.0) (* (* 9.0 (* z y)) t))
19.0ms	(* (* a 27.0) b)
19.0ms	(* 9.0 (* z y))
26.0ms	(* (* 9.0 (* z y)) t)

simplify602.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	129	815
1	338	776
2	1418	652
done	5000	652

prune204.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a 27.0) b)
0.3b	(* (sqrt 9.0) (* z y))
0.3b	(* (sqrt 9.0) (* (sqrt 9.0) (* z y)))
5.2b	(* (* (sqrt 9.0) (* (sqrt 9.0) (* z y))) t)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

6.0ms	(* (* a 27.0) b)
8.0ms	(* (sqrt 9.0) (* z y))
20.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (* z y)))
67.0ms	(* (* (sqrt 9.0) (* (sqrt 9.0) (* z y))) t)

series245.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* a 27.0) b)
45.0ms	(* (sqrt 9.0) (* z y))
74.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (* z y)))
107.0ms	(* (* (sqrt 9.0) (* (sqrt 9.0) (* z y))) t)

simplify607.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	131	1124
1	350	851
2	1509	663
done	5000	663

prune225.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes684.0ms

Accuracy

64.5% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 3.6b

bsearch1.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	29	64
1	48	48
2	56	48
3	62	48
done	62	48

end0.0ms

sample810.0ms

Algorithm

intervals

Results

454.0ms

11045×

body

valid