Details

sample68.0ms

Algorithm

intervals

Results

33.0ms

475×

body

valid

simplify9.8s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	197	29
3	570	29
4	1226	29
5	1971	29
6	2943	29
7	4274	29
done	5000	29

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
3.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.5b	(* (* (* x 18.0) y) z)

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

7.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
90.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
22.0ms	(* (* (* x 18.0) y) z)

series182.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
116.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
29.0ms	(* (* (* x 18.0) y) z)

simplify818.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (150.0ms)

Iter	Nodes	Cost
0	158	1015
1	417	980
2	1959	822
done	5001	822

prune327.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.7b	(* j (* 27.0 k))
3.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.5b	(* (* (* x 18.0) y) z)

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

7.0ms	(* (* x 18.0) y)
6.0ms	(* j (* 27.0 k))
99.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
24.0ms	(* (* (* x 18.0) y) z)

series180.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
18.0ms	(* j (* 27.0 k))
114.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
26.0ms	(* (* (* x 18.0) y) z)

simplify756.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	156	1012
1	407	979
2	1873	821
done	5000	821

prune339.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (* 18.0 y))
0.7b	(* j (* 27.0 k))
3.6b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.5b	(* (* x (* 18.0 y)) z)

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* x (* 18.0 y))
6.0ms	(* j (* 27.0 k))
83.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
21.0ms	(* (* x (* 18.0 y)) z)

series195.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* x (* 18.0 y))
19.0ms	(* j (* 27.0 k))
125.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
27.0ms	(* (* x (* 18.0 y)) z)

simplify664.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	154	1011
1	400	980
2	1696	822
done	5000	822

prune333.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.6b

localize25.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (* (* x 18.0) y) z)
7.3b	(cbrt (* (* j 27.0) k))
7.3b	(cbrt (* (* j 27.0) k))
7.3b	(cbrt (* (* j 27.0) k))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

21.0ms	(* (* (* x 18.0) y) z)
5.0ms	(cbrt (* (* j 27.0) k))
5.0ms	(cbrt (* (* j 27.0) k))
5.0ms	(cbrt (* (* j 27.0) k))

series315.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* (* x 18.0) y) z)
97.0ms	(cbrt (* (* j 27.0) k))
99.0ms	(cbrt (* (* j 27.0) k))
93.0ms	(cbrt (* (* j 27.0) k))

simplify3.4s

Counts

60 → 60

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	97	595
1	236	581
2	885	486
3	4924	471
done	5000	465

prune284.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.6b

regimes1.0s

Accuracy

28.5% (2.5b remaining)

Error of 4.7b against oracle of 2.2b and baseline of 5.7b

bsearch147.0ms

Steps

Iters	Range		Point
3	1.1118810547621865e-68	1.4213557528680274e-68	1.1312232233938015e-68
6	-1.6361143561567743e-43	-2.01543095993581e-44	-3.1141079314986784e-44

simplify12.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	52	104
1	77	103
2	87	103
3	90	103
done	90	103

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

16144×

body

valid