Details

sample120.0ms

Algorithm

intervals

Results

71.0ms	232×	body	10240	exit
10.0ms	191×	body	80	valid
6.0ms	24×	body	320	valid
4.0ms	19×	body	640	valid
2.0ms	22×	body	160	valid

simplify778.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	398
3	109
2	48
1	20
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.7b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.8b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
6.2b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

15.0ms	(* wj (exp wj))
12.0ms	(+ (exp wj) (* wj (exp wj)))
56.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
54.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series202.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* wj (exp wj))
45.0ms	(+ (exp wj) (* wj (exp wj)))
59.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
67.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1670
1	415
0	163

prune581.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `sum-log` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r+` `associate-r` `*-commutative`

Counts

3 → 42

Calls

3 calls:

12.0ms	(* -2 (* x wj))
17.0ms	(+ (* -2 (* x wj)) (+ x (* wj wj)))
5.0ms	(+ x (* wj wj))

series111.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* -2 (* x wj))
33.0ms	(+ (* -2 (* x wj)) (+ x (* wj wj)))
57.0ms	(+ x (* wj wj))

simplify1.2s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
2	1350
1	270
0	82

prune191.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (* wj wj))) (cbrt (+ x (* wj wj))))
0.6b	(cbrt (+ x (* wj wj)))
0.6b	(cbrt (+ x (* wj wj)))
0.6b	(cbrt (+ x (* wj wj)))

rewrite63.0ms

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:

50.0ms	(* (cbrt (+ x (* wj wj))) (cbrt (+ x (* wj wj))))
5.0ms	(cbrt (+ x (* wj wj)))
2.0ms	(cbrt (+ x (* wj wj)))
2.0ms	(cbrt (+ x (* wj wj)))

series1.8s

Counts

4 → 12

Calls

4 calls:

362.0ms	(* (cbrt (+ x (* wj wj))) (cbrt (+ x (* wj wj))))
485.0ms	(cbrt (+ x (* wj wj)))
525.0ms	(cbrt (+ x (* wj wj)))
476.0ms	(cbrt (+ x (* wj wj)))

simplify1.2s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1225
1	292
0	120

prune587.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

localize98.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (* wj wj)))
0.6b	(cbrt (+ x (* wj wj)))
0.6b	(cbrt (+ x (* wj wj)))
0.6b	(cbrt (+ x (* wj wj)))

rewrite18.0ms

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:

5.0ms	(cbrt (+ x (* wj wj)))
5.0ms	(cbrt (+ x (* wj wj)))
4.0ms	(cbrt (+ x (* wj wj)))
2.0ms	(cbrt (+ x (* wj wj)))

series1.9s

Counts

4 → 12

Calls

4 calls:

518.0ms	(cbrt (+ x (* wj wj)))
458.0ms	(cbrt (+ x (* wj wj)))
440.0ms	(cbrt (+ x (* wj wj)))
519.0ms	(cbrt (+ x (* wj wj)))

simplify1.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
3	2006
2	456
1	143
0	62

prune457.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

regimes166.0ms

Accuracy

0% (1.6b remaining)

Error of 2.1b against oracle of 0.5b and baseline of 2.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample6.4s

Algorithm

intervals

Results

4.4s	7579×	body	10240	exit
595.0ms	795×	body	320	valid
540.0ms	6305×	body	80	valid
159.0ms	440×	body	640	valid
101.0ms	550×	body	160	valid