Details

sample73.0ms

Algorithm

intervals

Results

36.0ms

539×

body

valid

simplify9.6s

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
4.1b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.9b	(* (* (* x 18.0) y) z)

rewrite123.0ms

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:

6.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
86.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
21.0ms	(* (* (* x 18.0) y) z)

series181.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
112.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
29.0ms	(* (* (* x 18.0) y) z)

simplify771.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (129.0ms)

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

prune337.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
4.1b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.9b	(* (* (* x 18.0) y) z)

rewrite123.0ms

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:

6.0ms	(* (* x 18.0) y)
6.0ms	(* j (* 27.0 k))
87.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
21.0ms	(* (* (* x 18.0) y) z)

series181.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
117.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
27.0ms	(* (* (* x 18.0) y) z)

simplify738.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (128.0ms)

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

prune331.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.9b

localize31.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (* (* x 18.0) y) z)
16.5b	(cbrt (* (* (* x 18.0) y) z))
16.5b	(cbrt (* (* (* x 18.0) y) z))
16.5b	(cbrt (* (* (* x 18.0) y) z))

rewrite82.0ms

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)
19.0ms	(cbrt (* (* (* x 18.0) y) z))
19.0ms	(cbrt (* (* (* x 18.0) y) z))
19.0ms	(cbrt (* (* (* x 18.0) y) z))

series364.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* (* x 18.0) y) z)
112.0ms	(cbrt (* (* (* x 18.0) y) z))
111.0ms	(cbrt (* (* (* x 18.0) y) z))
112.0ms	(cbrt (* (* (* x 18.0) y) z))

simplify445.0ms

Counts

60 → 60

Iterations

Useful iterations: done (443.0ms)

Iter	Nodes	Cost
0	96	700
1	243	683
2	979	573
done	5000	564

prune381.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.9b

localize26.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z)
12.2b	(cbrt (* (* x 18.0) y))
12.2b	(cbrt (* (* x 18.0) y))
12.2b	(cbrt (* (* x 18.0) y))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
9×	`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:

62.0ms	(* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z)
5.0ms	(cbrt (* (* x 18.0) y))
5.0ms	(cbrt (* (* x 18.0) y))
5.0ms	(cbrt (* (* x 18.0) y))

series377.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z)
103.0ms	(cbrt (* (* x 18.0) y))
98.0ms	(cbrt (* (* x 18.0) y))
97.0ms	(cbrt (* (* x 18.0) y))

simplify2.8s

Counts

60 → 60

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	83	960
1	212	934
2	762	563
3	3409	476
done	5001	470

prune274.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.9b

regimes999.0ms

Accuracy

18.3% (2.6b remaining)

Error of 4.7b against oracle of 2.1b and baseline of 5.3b

bsearch236.0ms

Steps

Iters	Range		Point
10	7.320640770367206e-77	3.336902614120168e-65	1.2403457310672628e-70
6	-1.5073358491969284e-201	-1.4831394625346736e-202	-2.602365083086104e-202

simplify16.0ms

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	50	96
1	73	95
2	83	95
3	86	95
done	86	95

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

16045×

body

valid