Details

sample115.0ms

Algorithm

intervals

Results

77.0ms	227×	body	10240	exit
11.0ms	212×	body	80	valid
5.0ms	27×	body	320	valid
3.0ms	12×	body	640	valid
1.0ms	7×	body	160	valid

simplify3.8s

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: 11.4b

localize34.0ms

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)))))

rewrite123.0ms

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:

18.0ms	(* wj (exp wj))
17.0ms	(* wj (exp wj))
45.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
38.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series262.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* wj (exp wj))
54.0ms	(* wj (exp wj))
72.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
86.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.8s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1210
1	383
0	150

prune618.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`diff-log` `add-cube-cbrt`
3×	`sub-neg` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `flip--` `associate--r+`
1×	`associate-l` `*-commutative` `distribute-lft-out--` `associate--r-` `difference-of-squares`

Counts

3 → 48

Calls

3 calls:

54.0ms	(- x (- (* (* wj x) 2) (* wj wj)))
21.0ms	(* (* wj x) 2)
14.0ms	(- (* (* wj x) 2) (* wj wj))

series101.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- x (- (* (* wj x) 2) (* wj wj)))
19.0ms	(* (* wj x) 2)
47.0ms	(- (* (* wj x) 2) (* wj wj))

simplify3.1s

Counts

57 → 57

Iterations

Iter	Nodes
done	5105
3	3989
2	832
1	238
0	91

prune296.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize23.0ms

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)))))

rewrite71.0ms

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:

9.0ms	(* wj (exp wj))
10.0ms	(* wj (exp wj))
17.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
34.0ms	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* wj (exp wj))
39.0ms	(* wj (exp wj))
49.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
75.0ms	(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

simplify1.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
2	1014
1	309
0	116

prune557.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* wj wj) (* (* wj wj) (- (* wj wj) wj)))
0.0b	(/ x (+ (exp wj) (* wj (exp wj))))
0.0b	(* wj (exp wj))
0.1b	(* (* wj wj) (- (* wj wj) wj))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

17.0ms	(+ (* wj wj) (* (* wj wj) (- (* wj wj) wj)))
21.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
22.0ms	(* wj (exp wj))
62.0ms	(* (* wj wj) (- (* wj wj) wj))

series286.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* wj wj) (* (* wj wj) (- (* wj wj) wj)))
87.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
46.0ms	(* wj (exp wj))
114.0ms	(* (* wj wj) (- (* wj wj) wj))

simplify1.8s

Counts

109 → 109

Iterations

Iter	Nodes
done	5007
2	1713
1	498
0	182

prune594.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
1	20
0	13

end0.0ms

sample6.1s

Algorithm

intervals

Results

4.8s	7570×	body	10240	exit
486.0ms	6328×	body	80	valid
131.0ms	731×	body	320	valid
131.0ms	466×	body	640	valid
70.0ms	550×	body	160	valid