Details

sample169.0ms

Algorithm

intervals

Results

91.0ms

540×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	201	29
3	616	29
4	1722	29
done	5000	29

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.5b	(* (* x 18.0) y)
3.4b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.4b	(* (* (* x 18.0) y) z)

rewrite430.0ms

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:

26.0ms	(* (* x 4.0) i)
19.0ms	(* (* x 18.0) y)
300.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
81.0ms	(* (* (* x 18.0) y) z)

series263.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 4.0) i)
21.0ms	(* (* x 18.0) y)
174.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
44.0ms	(* (* (* x 18.0) y) z)

simplify1.9s

Counts

93 → 93

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	153	1015
1	417	980
2	2832	842
done	5001	826

prune383.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* (* x 4.0) i)
3.4b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
6.4b	(* (* x (* 18.0 y)) z)

rewrite301.0ms

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:

25.0ms	(* x (* 18.0 y))
27.0ms	(* (* x 4.0) i)
192.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
53.0ms	(* (* x (* 18.0 y)) z)

series221.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* x (* 18.0 y))
23.0ms	(* (* x 4.0) i)
130.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
44.0ms	(* (* x (* 18.0 y)) z)

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	151	1014
1	410	981
2	2256	825
done	5002	823

prune550.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* x (* 18.0 y))
3.4b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
6.4b	(* (* x (* 18.0 y)) z)

rewrite287.0ms

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:

18.0ms	(* (* j 27.0) k)
16.0ms	(* x (* 18.0 y))
198.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
52.0ms	(* (* x (* 18.0 y)) z)

series247.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* j 27.0) k)
27.0ms	(* x (* 18.0 y))
159.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
32.0ms	(* (* x (* 18.0 y)) z)

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	156	1014
1	417	981
2	2207	825
done	5001	823

prune612.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.9b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* x (* 18.0 y))
3.4b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
6.4b	(* (* x (* 18.0 y)) z)

rewrite288.0ms

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:

18.0ms	(* j (* 27.0 k))
16.0ms	(* x (* 18.0 y))
188.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
64.0ms	(* (* x (* 18.0 y)) z)

series235.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* j (* 27.0 k))
25.0ms	(* x (* 18.0 y))
160.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
30.0ms	(* (* x (* 18.0 y)) z)

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	154	1011
1	405	980
2	1917	824
done	5000	822

prune784.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.9b

regimes1.4s

Accuracy

18.2% (3.0b remaining)

Error of 5.3b against oracle of 2.3b and baseline of 6.0b

bsearch390.0ms

Steps

Iters	Range		Point
5	2.442543498371979e-84	6.920884566519455e-84	2.4906204018200254e-84
11	-1.4567524738793324e+163	-3.8564724489154185e+143	-2.8147613263865508e+156

simplify17.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	53	93
1	85	91
2	94	91
3	95	91
done	95	91

end0.0ms

sample5.0s

Algorithm

intervals

Results

3.2s

16036×

body

valid