Details

sample146.0ms

Algorithm

intervals

Results

81.0ms

510×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	28	613
1	66	573
2	201	573
3	614	573
4	1710	573
done	5001	573

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
2.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.8b	(* (* (* x 18.0) y) z)

rewrite350.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
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:

14.0ms	(* (* x 18.0) y)
13.0ms	(* (* j 27.0) k)
244.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
76.0ms	(* (* (* x 18.0) y) z)

series241.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
33.0ms	(* (* j 27.0) k)
143.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
43.0ms	(* (* (* x 18.0) y) z)

simplify2.1s

Counts

93 → 93

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	158	18918
1	424	17583
2	2885	16983
done	5000	16703

prune869.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* 27.0 (* j k))
2.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.8b	(* (* (* x 18.0) y) z)

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`*-un-lft-identity` `add-cube-cbrt`
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:

15.0ms	(* (* x 18.0) y)
24.0ms	(* 27.0 (* j k))
236.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
51.0ms	(* (* (* x 18.0) y) z)

series214.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
30.0ms	(* 27.0 (* j k))
123.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
39.0ms	(* (* (* x 18.0) y) z)

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	154	18878
1	408	17584
2	2490	17024
done	5001	16464

prune857.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 27.0 (* j k))
0.3b	(* (* x y) 18.0)
2.9b	(* t (- (* (* (* x y) 18.0) z) (* a 4.0)))
5.8b	(* (* (* x y) 18.0) z)

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`*-un-lft-identity` `add-cube-cbrt`
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:

12.0ms	(* 27.0 (* j k))
17.0ms	(* (* x y) 18.0)
216.0ms	(* t (- (* (* (* x y) 18.0) z) (* a 4.0)))
47.0ms	(* (* (* x y) 18.0) z)

series189.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* 27.0 (* j k))
23.0ms	(* (* x y) 18.0)
116.0ms	(* t (- (* (* (* x y) 18.0) z) (* a 4.0)))
29.0ms	(* (* (* x y) 18.0) z)

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: 2 (497.0ms)

Iter	Nodes	Cost
0	153	18878
1	409	17584
2	2239	16544
done	5000	16544

prune874.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.9b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
2.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.8b	(* (* (* x 18.0) y) z)

rewrite365.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`*-un-lft-identity` `add-cube-cbrt`
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:

20.0ms	(* (* x 18.0) y)
19.0ms	(* j (* 27.0 k))
256.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
67.0ms	(* (* (* x 18.0) y) z)

series265.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* x 18.0) y)
27.0ms	(* j (* 27.0 k))
167.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
42.0ms	(* (* (* x 18.0) y) z)

simplify1.9s

Counts

93 → 93

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	156	18878
1	413	17584
2	2514	16824
done	5000	16744

prune753.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.9b

regimes2.6s

Accuracy

50.1% (1.8b remaining)

Error of 4.1b against oracle of 2.3b and baseline of 5.9b

bsearch475.0ms

Steps

Iters	Range		Point
8	8.115453608691229e-49	2.695364724420744e-44	2.0413047973554156e-44
8	-3.604487431752232e+142	-9.6534937984992e+137	-2.3399944383300157e+138

simplify23.0ms

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	46	1355
1	69	1355
done	69	1355

end0.0ms

sample4.1s

Algorithm

intervals

Results

3.0s

16476×

body

valid