Details

sample69.0ms

Algorithm

intervals

Results

34.0ms

475×

body

valid

simplify15.7s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	197	29
3	567	29
4	1191	29
5	1736	29
6	2389	29
7	3715	29
8	4758	29
done	4758	29

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize26.0ms

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)

rewrite129.0ms

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)
7.0ms	(* (* j 27.0) k)
91.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
22.0ms	(* (* (* x 18.0) y) z)

series187.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
121.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms	(* (* (* x 18.0) y) z)

simplify745.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (210.0ms)

Iter	Nodes	Cost
0	158	1015
1	403	980
2	1682	822
done	5001	822

prune320.0ms

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)

rewrite127.0ms

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))
89.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
22.0ms	(* (* (* x 18.0) y) z)

series185.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
119.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms	(* (* (* x 18.0) y) z)

simplify938.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (206.0ms)

Iter	Nodes	Cost
0	156	1012
1	395	979
2	1620	821
done	5001	821

prune316.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.6b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

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 (* y 18.0))
6.0ms	(* j (* 27.0 k))
75.0ms	(* t (- (* (* x (* y 18.0)) z) (* a 4.0)))
18.0ms	(* (* x (* y 18.0)) z)

series179.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (* y 18.0))
19.0ms	(* j (* 27.0 k))
113.0ms	(* t (- (* (* x (* y 18.0)) z) (* a 4.0)))
27.0ms	(* (* x (* y 18.0)) z)

simplify577.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (139.0ms)

Iter	Nodes	Cost
0	153	1011
1	394	980
2	1480	822
done	5000	822

prune346.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.6b

localize30.0ms

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))

rewrite39.0ms

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:

22.0ms	(* (* (* 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))

series327.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* (* x 18.0) y) z)
98.0ms	(cbrt (* (* j 27.0) k))
99.0ms	(cbrt (* (* j 27.0) k))
99.0ms	(cbrt (* (* j 27.0) k))

simplify2.7s

Counts

60 → 60

Iterations

Useful iterations: 3 (884.0ms)

Iter	Nodes	Cost
0	97	595
1	234	581
2	840	486
3	4474	465
done	5000	465

prune274.0ms

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

bsearch133.0ms

Steps

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

simplify10.0ms

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

sample2.1s

Algorithm

intervals

Results

1.2s

16144×

body

valid