Details

sample133.0ms

Algorithm

intervals

Results

87.0ms	227×	body	10240	exit
13.0ms	212×	body	80	valid
5.0ms	27×	body	320	valid
3.0ms	12×	body	640	valid
1.0ms	7×	body	160	valid

simplify784.0ms

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: 11.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(* wj (exp wj))
0.5b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
2.1b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite132.0ms

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:

9.0ms	(* wj (exp wj))
12.0ms	(* wj (exp wj))
60.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
48.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* wj (exp wj))
53.0ms	(* wj (exp wj))
56.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
107.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1582
1	386
0	150

prune614.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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×	`+-commutative` `sum-log` `flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

9.0ms	(+ (* wj wj) x)
14.0ms	(* (* x wj) 2)

series48.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* wj wj) x)
27.0ms	(* (* x wj) 2)

simplify1.0s

Counts

35 → 35

Iterations

Iter	Nodes
done	5001
2	1097
1	193
0	63

prune195.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(* wj (exp wj))
0.5b	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
4.4b	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

17.0ms	(* wj (exp wj))
17.0ms	(* wj (exp wj))
24.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
18.0ms	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

series180.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* wj (exp wj))
35.0ms	(* wj (exp wj))
58.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
48.0ms	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

simplify1.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1733
1	309
0	116

prune489.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(- (* (* wj wj) (* wj wj)) (* (* wj wj) wj))
0.1b	(* (* wj wj) wj)
0.1b	(* (* wj wj) (* wj wj))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

136×	`pow1`
42×	`pow-prod-up`
27×	`pow-prod-down`
24×	`pow-plus` `pow-sqr`
23×	`add-cbrt-cube`
22×	`add-exp-log`
15×	`pow2`
12×	`prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-l`
3×	`*-commutative` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `swap-sqr` `pow3` `flip--` `distribute-lft-out--`

Counts

4 → 122

Calls

4 calls:

9.0ms	(* wj (exp wj))
35.0ms	(- (* (* wj wj) (* wj wj)) (* (* wj wj) wj))
19.0ms	(* (* wj wj) wj)
41.0ms	(* (* wj wj) (* wj wj))

series250.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* wj (exp wj))
105.0ms	(- (* (* wj wj) (* wj wj)) (* (* wj wj) wj))
54.0ms	(* (* wj wj) wj)
53.0ms	(* (* wj wj) (* wj wj))

simplify7.4s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
2	3443
1	362
0	112

prune465.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample6.1s

Algorithm

intervals

Results

4.0s	7570×	body	10240	exit
833.0ms	6328×	body	80	valid
491.0ms	466×	body	640	valid
163.0ms	731×	body	320	valid
112.0ms	550×	body	160	valid