Details

sample71.0ms

Algorithm

intervals

Results

35.0ms

475×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 5 (1.1s)

Iter	Nodes	Cost
0	28	31
1	67	29
2	218	27
3	726	27
4	2118	27
5	3880	26
done	5000	26

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
4.5b	(* (* (* x 18.0) y) z)
6.1b	(* (* (* (* x 18.0) y) z) t)

rewrite118.0ms

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:

6.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
22.0ms	(* (* (* x 18.0) y) z)
80.0ms	(* (* (* (* x 18.0) y) z) t)

series118.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
31.0ms	(* (* (* x 18.0) y) z)
47.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.2s

Counts

101 → 101

Iterations

Useful iterations: 2 (136.0ms)

Iter	Nodes	Cost
0	145	974
1	378	944
2	1971	738
done	5000	738

prune385.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
0.2b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
9.2b	(* (* (* x 18.0) y) (* z t))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `associate-l` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `prod-diff` `flip-+`

Counts

4 → 91

Calls

4 calls:

171.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
6.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
27.0ms	(* (* (* x 18.0) y) (* z t))

series273.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
23.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
44.0ms	(* (* (* x 18.0) y) (* z t))

simplify855.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	172	1298
1	481	1263
2	2074	978
done	5001	978

prune406.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
0.2b	(* (* x 18.0) y)
0.7b	(* j (* 27.0 k))
9.2b	(* (* (* x 18.0) y) (* z t))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `prod-diff` `flip-+`

Counts

4 → 91

Calls

4 calls:

169.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
6.0ms	(* (* x 18.0) y)
6.0ms	(* j (* 27.0 k))
27.0ms	(* (* (* x 18.0) y) (* z t))

series289.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
21.0ms	(* (* x 18.0) y)
22.0ms	(* j (* 27.0 k))
46.0ms	(* (* (* x 18.0) y) (* z t))

simplify800.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (153.0ms)

Iter	Nodes	Cost
0	170	1295
1	470	1262
2	1944	977
done	5000	977

prune444.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

7.3b	(cbrt (* (* j 27.0) k))
7.3b	(cbrt (* (* j 27.0) k))
7.3b	(cbrt (* (* j 27.0) k))
9.2b	(* (* (* x 18.0) y) (* z t))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

5.0ms	(cbrt (* (* j 27.0) k))
5.0ms	(cbrt (* (* j 27.0) k))
5.0ms	(cbrt (* (* j 27.0) k))
29.0ms	(* (* (* x 18.0) y) (* z t))

series381.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (* (* j 27.0) k))
106.0ms	(cbrt (* (* j 27.0) k))
113.0ms	(cbrt (* (* j 27.0) k))
54.0ms	(* (* (* x 18.0) y) (* z t))

simplify481.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	113	847
1	292	826
2	1014	661
done	5000	661

prune451.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.6s

Accuracy

88.4% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 6.2b

bsearch4.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	45	151
1	68	119
done	68	119

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s

16144×

body

valid