Details

sample70.0ms

Algorithm

intervals

Results

32.0ms

475×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 5 (1.4s)

Iter	Nodes	Cost
0	28	31
1	67	29
2	218	27
3	722	27
4	1905	27
5	3091	26
6	4221	26
done	5001	26

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize24.0ms

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)

rewrite119.0ms

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:

7.0ms	(* (* x 18.0) y)
7.0ms	(* (* j 27.0) k)
21.0ms	(* (* (* x 18.0) y) z)
80.0ms	(* (* (* (* x 18.0) y) z) t)

series126.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
29.0ms	(* (* (* x 18.0) y) z)
52.0ms	(* (* (* (* x 18.0) y) z) t)

simplify893.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (251.0ms)

Iter	Nodes	Cost
0	145	974
1	366	944
2	1796	738
done	5001	738

prune435.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite222.0ms

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:

177.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
9.0ms	(* (* x 18.0) y)
7.0ms	(* (* j 27.0) k)
26.0ms	(* (* (* x 18.0) y) (* z t))

series307.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
26.0ms	(* (* x 18.0) y)
20.0ms	(* (* j 27.0) k)
49.0ms	(* (* (* x 18.0) y) (* z t))

simplify765.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (215.0ms)

Iter	Nodes	Cost
0	172	1298
1	467	1263
2	1832	978
done	5000	978

prune451.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite221.0ms

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:

176.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
7.0ms	(* (* x 18.0) y)
6.0ms	(* j (* 27.0 k))
28.0ms	(* (* (* x 18.0) y) (* z t))

series308.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c))
27.0ms	(* (* x 18.0) y)
19.0ms	(* j (* 27.0 k))
50.0ms	(* (* (* x 18.0) y) (* z t))

simplify707.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (187.0ms)

Iter	Nodes	Cost
0	170	1295
1	459	1262
2	1759	977
done	5000	977

prune458.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite43.0ms

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))
25.0ms	(* (* (* x 18.0) y) (* z t))

series618.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (* (* j 27.0) k))
346.0ms	(cbrt (* (* j 27.0) k))
110.0ms	(cbrt (* (* j 27.0) k))
56.0ms	(* (* (* x 18.0) y) (* z t))

simplify511.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	113	847
1	292	826
2	961	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	43	149
1	64	119
done	64	119

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

16144×

body

valid