Details

sample225.0ms

Algorithm

intervals

Results

109.0ms

557×

body

valid

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: done (5.8s)

Iter	Nodes	Cost
0	28	31
1	67	29
2	221	27
3	795	27
4	3643	27
done	5000	26

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize91.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
4.0b	(* (* (* x 18.0) y) z)
6.7b	(* (* (* (* x 18.0) y) z) t)

rewrite584.0ms

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:

34.0ms	(* (* x 18.0) y)
37.0ms	(* (* j 27.0) k)
116.0ms	(* (* (* x 18.0) y) z)
391.0ms	(* (* (* (* x 18.0) y) z) t)

series236.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* x 18.0) y)
35.0ms	(* (* j 27.0) k)
64.0ms	(* (* (* x 18.0) y) z)
98.0ms	(* (* (* (* x 18.0) y) z) t)

simplify4.8s

Counts

101 → 101

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	145	974
1	378	944
2	3097	774
done	5000	772

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cube-cbrt`
9×	`prod-diff`
7×	`associate-r`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `*-commutative`
2×	`fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 100

Calls

4 calls:

15.0ms	(- (fma c b (* (* (* x 18.0) y) (* t z))) (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))
40.0ms	(* (* x 18.0) y)
41.0ms	(* (* j 27.0) k)
144.0ms	(* (* (* x 18.0) y) (* t z))

series12.9s

Counts

4 → 12

Calls

4 calls:

12.7s	(- (fma c b (* (* (* x 18.0) y) (* t z))) (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))
45.0ms	(* (* x 18.0) y)
39.0ms	(* (* j 27.0) k)
87.0ms	(* (* (* x 18.0) y) (* t z))

simplify2.6s

Counts

112 → 112

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	195	2628
1	486	2180
2	2663	1777
done	5001	1556

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma c b (* x (* (* 18.0 y) (* t z)))) (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))
0.2b	(* (* j 27.0) k)
3.7b	(* x (* (* 18.0 y) (* t z)))
5.9b	(* (* 18.0 y) (* t z))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cube-cbrt`
9×	`prod-diff`
6×	`add-log-exp`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `*-commutative`
2×	`fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 103

Calls

4 calls:

16.0ms	(- (fma c b (* x (* (* 18.0 y) (* t z)))) (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))
34.0ms	(* (* j 27.0) k)
135.0ms	(* x (* (* 18.0 y) (* t z)))
56.0ms	(* (* 18.0 y) (* t z))

series12.5s

Counts

4 → 12

Calls

4 calls:

12.4s	(- (fma c b (* x (* (* 18.0 y) (* t z)))) (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))
44.0ms	(* (* j 27.0) k)
76.0ms	(* x (* (* 18.0 y) (* t z)))
45.0ms	(* (* 18.0 y) (* t z))

simplify2.0s

Counts

115 → 115

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	195	2712
1	483	2263
2	2400	1808
done	5000	1593

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* t (* z y)))
0.2b	(* (* j 27.0) k)
3.7b	(* (* 18.0 (* t (* z y))) x)
4.5b	(* t (* z y))

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

64.0ms	(* 18.0 (* t (* z y)))
29.0ms	(* (* j 27.0) k)
207.0ms	(* (* 18.0 (* t (* z y))) x)
24.0ms	(* t (* z y))

series183.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* 18.0 (* t (* z y)))
31.0ms	(* (* j 27.0) k)
69.0ms	(* (* 18.0 (* t (* z y))) x)
39.0ms	(* t (* z y))

simplify1.7s

Counts

101 → 101

Iterations

Useful iterations: 2 (324.0ms)

Iter	Nodes	Cost
0	137	968
1	357	942
2	2039	740
done	5000	740

prune1.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes2.6s

Accuracy

65.5% (2.0b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 5.8b

bsearch560.0ms

Steps

Iters	Range		Point
10	1.948422009378651e+31	3.106766247233548e+41	1.0880873366626365e+39
8	-2.536129427768581e+49	-2.847941429072607e+46	-1.090628401318568e+48

simplify9.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	41	88
1	59	61
done	59	61

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.8s

16032×

body

valid