Details

sample258.0ms

Algorithm

intervals

Results

205.0ms	268×	body	10240	exit
20.0ms	201×	body	80	valid
7.0ms	24×	body	320	valid
4.0ms	9×	body	640	valid
4.0ms	22×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
6	2995
5	696
4	178
3	98
2	48
1	20
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize20.0ms

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))))
5.7b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite131.0ms

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` `insert-posit16`
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 → 96

Calls

4 calls:

12.0ms	(* wj (exp wj))
18.0ms	(* wj (exp wj))
57.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
43.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series236.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* wj (exp wj))
49.0ms	(* wj (exp wj))
71.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
65.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.0s

Counts

108 → 108

Iterations

Iter	Nodes
3	3502
2	1003
1	370
0	153

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite112.0ms

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-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r+` `associate-l` `*-commutative`

Counts

3 → 45

Calls

3 calls:

64.0ms	(+ (* wj wj) (+ (* (* x wj) -2) x))
34.0ms	(* (* x wj) -2)
14.0ms	(+ (* (* x wj) -2) x)

series159.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (* wj wj) (+ (* (* x wj) -2) x))
35.0ms	(* (* x wj) -2)
86.0ms	(+ (* (* x wj) -2) x)

simplify1.7s

Counts

54 → 54

Iterations

Iter	Nodes
3	4260
2	993
1	270
0	90

prune378.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.2b	(/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x)))
0.3b	(/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))
6.4b	(- wj (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
95×	`*-un-lft-identity`
90×	`add-sqr-sqrt`
74×	`add-cube-cbrt`
24×	`associate-/r*`
18×	`add-exp-log`
16×	`distribute-rgt-out` `distribute-rgt1-in`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp` `associate-/l*`
7×	`pow1` `div-inv`
6×	`flip3--` `flip--` `add-log-exp`
5×	`difference-of-squares`
4×	`cbrt-undiv` `insert-posit16`
3×	`associate-r` `associate-l`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `distribute-lft-out--` `associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 188

Calls

4 calls:

13.0ms	(* wj (exp wj))
28.0ms	(/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x)))
46.0ms	(/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))
54.0ms	(- wj (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))))

series304.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* wj (exp wj))
57.0ms	(/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x)))
134.0ms	(/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))
69.0ms	(- wj (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))))

simplify692.0ms

Counts

200 → 200

Iterations

Iter	Nodes
2	2217
1	781
0	305

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))
0.3b	(/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))
4.7b	(- (* wj wj) (* (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))) (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x)))))
18.9b	(/ (- (* wj wj) (* (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))) (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))))) (+ wj (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x)))))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
50×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`associate-/l*`
11×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
8×	`distribute-rgt-out` `distribute-rgt1-in` `div-inv`
7×	`difference-of-squares`
6×	`associate-/r/` `add-log-exp` `associate-/l/`
4×	`pow1` `flip3--` `insert-posit16` `flip--`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+`
1×	`sub-neg` `diff-log` `div-sub`

Counts

4 → 141

Calls

4 calls:

58.0ms	(/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))
71.0ms	(/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))
14.0ms	(- (* wj wj) (* (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))) (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x)))))
138.0ms	(/ (- (* wj wj) (* (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))) (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))))) (+ wj (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x)))))

series767.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))
122.0ms	(/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))
241.0ms	(- (* wj wj) (* (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))) (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x)))))
252.0ms	(/ (- (* wj wj) (* (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))) (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))))) (+ wj (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x)))))

simplify4.2s

Counts

153 → 153

Iterations

Iter	Nodes
3	8782
2	1916
1	521
0	190

prune1.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes214.0ms

Accuracy

26.5% (1.2b remaining)

Error of 1.6b against oracle of 0.4b and baseline of 2.0b

bsearch4.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	29
1	29
0	21

end0.0ms

sample8.8s

Algorithm

intervals

Results

7.1s	7798×	body	10240	exit
685.0ms	6252×	body	80	valid
287.0ms	761×	body	320	valid
215.0ms	498×	body	640	valid
132.0ms	569×	body	160	valid