Details

sample151.0ms

Algorithm

intervals

Results

109.0ms	269×	body	10240	exit
10.0ms	191×	body	80	valid
6.0ms	31×	body	320	valid
3.0ms	14×	body	640	valid
2.0ms	24×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5143
6	3633
5	796
4	188
3	102
2	48
1	20
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(* wj (exp wj))
0.3b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
6.3b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-cube-cbrt`
16×	`times-frac`
10×	`add-cbrt-cube`
8×	`pow1` `add-exp-log`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`associate-/r*`
4×	`distribute-rgt-out` `distribute-rgt1-in`
3×	`associate-/l*`
2×	`flip3--` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv` `distribute-lft-out--` `associate--r-`

Counts

4 → 92

Calls

4 calls:

17.0ms	(* wj (exp wj))
17.0ms	(* wj (exp wj))
56.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
33.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series217.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* wj (exp wj))
43.0ms	(* wj (exp wj))
53.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
84.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.4s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1210
1	383
0	150

prune556.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.6b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* wj x) 2) (* wj wj))
0.0b	(* (* wj x) 2)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--`

Counts

2 → 30

Calls

2 calls:

15.0ms	(- (* (* wj x) 2) (* wj wj))
23.0ms	(* (* wj x) 2)

series89.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(- (* (* wj x) 2) (* wj wj))
31.0ms	(* (* wj x) 2)

simplify2.7s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
3	2141
2	555
1	176
0	63

prune201.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.6b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* (* wj x) 2) (* wj wj))) (cbrt (- (* (* wj x) 2) (* wj wj))))
13.4b	(cbrt (- (* (* wj x) 2) (* wj wj)))
13.4b	(cbrt (- (* (* wj x) 2) (* wj wj)))
13.4b	(cbrt (- (* (* wj x) 2) (* wj wj)))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

158.0ms	(* (cbrt (- (* (* wj x) 2) (* wj wj))) (cbrt (- (* (* wj x) 2) (* wj wj))))
13.0ms	(cbrt (- (* (* wj x) 2) (* wj wj)))
15.0ms	(cbrt (- (* (* wj x) 2) (* wj wj)))
31.0ms	(cbrt (- (* (* wj x) 2) (* wj wj)))

series1.5s

Counts

4 → 12

Calls

4 calls:

325.0ms	(* (cbrt (- (* (* wj x) 2) (* wj wj))) (cbrt (- (* (* wj x) 2) (* wj wj))))
410.0ms	(cbrt (- (* (* wj x) 2) (* wj wj)))
424.0ms	(cbrt (- (* (* wj x) 2) (* wj wj)))
382.0ms	(cbrt (- (* (* wj x) 2) (* wj wj)))

simplify1.8s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	2035
2	675
1	248
0	108

prune629.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.6b

localize73.0ms

Local error

Found 4 expressions with local error:

13.4b	(cbrt (- (* (* wj x) 2) (* wj wj)))
13.4b	(cbrt (- (* (* wj x) 2) (* wj wj)))
13.4b	(cbrt (- (* (* wj x) 2) (* wj wj)))
13.4b	(cbrt (- (* (* wj x) 2) (* wj wj)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

17.0ms	(cbrt (- (* (* wj x) 2) (* wj wj)))
24.0ms	(cbrt (- (* (* wj x) 2) (* wj wj)))
24.0ms	(cbrt (- (* (* wj x) 2) (* wj wj)))
13.0ms	(cbrt (- (* (* wj x) 2) (* wj wj)))

series1.5s

Counts

4 → 12

Calls

4 calls:

355.0ms	(cbrt (- (* (* wj x) 2) (* wj wj)))
409.0ms	(cbrt (- (* (* wj x) 2) (* wj wj)))
417.0ms	(cbrt (- (* (* wj x) 2) (* wj wj)))
367.0ms	(cbrt (- (* (* wj x) 2) (* wj wj)))

simplify3.5s

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
4	4333
3	1052
2	349
1	137
0	57

prune423.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.6b

regimes227.0ms

Accuracy

35.8% (1.0b remaining)

Error of 1.4b against oracle of 0.4b and baseline of 2.0b

bsearch37.0ms

Steps

Iters	Range		Point
6	2.7145948043060644e-12	1.4622773167296954e-11	1.4444524821199289e-11

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample6.2s

Algorithm

intervals

Results

4.9s	7776×	body	10240	exit
486.0ms	6302×	body	80	valid
140.0ms	817×	body	320	valid
120.0ms	458×	body	640	valid
104.0ms	516×	body	160	valid