Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

349×

body

valid

simplify3.7s

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	384	17
5	477	17
6	550	17
7	573	17
8	656	17
9	1018	17
10	1322	17
done	1322	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.7b	(* (* a 27.0) b)
6.2b	(* (* (* y 9.0) z) t)

rewrite42.0ms

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:

3.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
7.0ms	(* (* y 9.0) z)
7.0ms	(* (* a 27.0) b)
23.0ms	(* (* (* y 9.0) z) t)

series141.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
17.0ms	(* (* y 9.0) z)
23.0ms	(* (* a 27.0) b)
31.0ms	(* (* (* y 9.0) z) t)

simplify688.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	133	816
1	355	775
2	1654	651
done	5000	651

prune211.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.7b	(* (* a 27.0) b)
3.2b	(* (* y 9.0) (* z t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

12.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
3.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
7.0ms	(* (* a 27.0) b)
10.0ms	(* (* y 9.0) (* z t))

series261.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
69.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
19.0ms	(* (* a 27.0) b)
25.0ms	(* (* y 9.0) (* z t))

simplify666.0ms

Counts

79 → 79

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	138	1103
1	396	1026
2	1636	914
done	5000	914

prune201.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* y (* 9.0 (* z t))))
0.2b	(* 9.0 (* z t))
0.7b	(* (* a 27.0) b)
3.2b	(* y (* 9.0 (* z t)))

rewrite34.0ms

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-l*`
6×	`add-log-exp`
5×	`associate-r`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

3.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
6.0ms	(* 9.0 (* z t))
7.0ms	(* (* a 27.0) b)
16.0ms	(* y (* 9.0 (* z t)))

series134.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
17.0ms	(* 9.0 (* z t))
19.0ms	(* (* a 27.0) b)
28.0ms	(* y (* 9.0 (* z t)))

simplify526.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	130	810
1	349	773
2	1376	649
done	5000	649

prune200.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(* (* a 27.0) b)
1.5b	(* (cbrt y) (* 9.0 (* z t)))
1.9b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 9.0 (* z t))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1` `add-exp-log`
33×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`cbrt-prod`
5×	`associate-r`
4×	`add-log-exp`
3×	`*-commutative`
1×	`pow1/3`

Counts

4 → 87

Calls

4 calls:

1.0ms	(cbrt y)
7.0ms	(* (* a 27.0) b)
19.0ms	(* (cbrt y) (* 9.0 (* z t)))
55.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 9.0 (* z t))))

series358.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt y)
19.0ms	(* (* a 27.0) b)
118.0ms	(* (cbrt y) (* 9.0 (* z t)))
48.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 9.0 (* z t))))

simplify847.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	147	1200
1	408	1158
2	1748	802
done	5000	802

prune257.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes574.0ms

Accuracy

82.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	30	67
1	46	51
done	46	51

end0.0ms

sample833.0ms

Algorithm

intervals

Results

457.0ms

10974×

body

valid