Details

sample243.0ms

Algorithm

intervals

Results

155.0ms	254×	body	10240	exit
33.0ms	15×	body	160	valid
17.0ms	189×	body	80	valid
11.0ms	33×	body	320	valid
10.0ms	23×	body	640	valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize33.0ms

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))))
4.0b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite106.0ms

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`
4×	`insert-posit16`
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 → 91

Calls

4 calls:

16.0ms	(* wj (exp wj))
13.0ms	(+ (exp wj) (* wj (exp wj)))
28.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
48.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series550.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* wj (exp wj))
51.0ms	(+ (exp wj) (* wj (exp wj)))
55.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
405.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify2.0s

Counts

103 → 103

Iterations

Iter	Nodes
3	6669
2	1306
1	403
0	167

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

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` `insert-posit16`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r+` `associate-r` `*-commutative`

Counts

3 → 45

Calls

3 calls:

9.0ms	(+ x (* wj wj))
26.0ms	(* -2 (* x wj))
48.0ms	(+ (* -2 (* x wj)) (+ x (* wj wj)))

series146.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ x (* wj wj))
36.0ms	(* -2 (* x wj))
56.0ms	(+ (* -2 (* x wj)) (+ x (* wj wj)))

simplify1.3s

Counts

54 → 54

Iterations

Iter	Nodes
3	4910
2	904
1	264
0	85

prune386.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(/ (- (* wj (exp wj)) x) (+ wj 1))
0.7b	(/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj))
4.0b	(- wj (/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
100×	`*-un-lft-identity`
77×	`add-sqr-sqrt`
66×	`add-cube-cbrt`
21×	`associate-/l*`
16×	`distribute-lft-out`
13×	`add-cbrt-cube`
10×	`add-exp-log` `associate-/r/`
7×	`associate-/r*`
6×	`pow1` `div-inv` `add-log-exp`
5×	`flip3-+` `div-sub` `flip-+`
4×	`cbrt-undiv` `div-exp` `insert-posit16`
3×	`associate-r` `associate-l` `difference-of-squares` `associate-/l/`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `associate--r-` `unswap-sqr`

Counts

4 → 166

Calls

4 calls:

12.0ms	(* wj (exp wj))
28.0ms	(/ (- (* wj (exp wj)) x) (+ wj 1))
31.0ms	(/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj))
42.0ms	(- wj (/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* wj (exp wj))
39.0ms	(/ (- (* wj (exp wj)) x) (+ wj 1))
60.0ms	(/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj))
87.0ms	(- wj (/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj)))

simplify2.3s

Counts

178 → 178

Iterations

Iter	Nodes
3	6378
2	1882
1	660
0	267

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(/ (* wj (exp wj)) (+ wj 1))
0.7b	(/ (- (/ (* wj (exp wj)) (+ wj 1)) (/ x (+ wj 1))) (exp wj))
4.0b	(- wj (/ (- (/ (* wj (exp wj)) (+ wj 1)) (/ x (+ wj 1))) (exp wj)))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
48×	`times-frac`
29×	`add-cube-cbrt`
20×	`associate-/r/`
13×	`add-cbrt-cube` `associate-/l*`
12×	`distribute-rgt-out--`
11×	`associate-/r*` `add-exp-log` `div-inv`
10×	`flip3-+` `flip-+` `difference-of-squares`
6×	`distribute-lft-out` `add-log-exp`
5×	`distribute-lft-out--`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16` `associate-/l/`
3×	`clear-num` `frac-2neg`
2×	`flip3--` `div-sub` `flip--`
1×	`sub-neg` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `sub-div` `associate--r-`

Counts

4 → 134

Calls

4 calls:

16.0ms	(/ x (+ wj 1))
29.0ms	(/ (* wj (exp wj)) (+ wj 1))
116.0ms	(/ (- (/ (* wj (exp wj)) (+ wj 1)) (/ x (+ wj 1))) (exp wj))
108.0ms	(- wj (/ (- (/ (* wj (exp wj)) (+ wj 1)) (/ x (+ wj 1))) (exp wj)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ x (+ wj 1))
64.0ms	(/ (* wj (exp wj)) (+ wj 1))
78.0ms	(/ (- (/ (* wj (exp wj)) (+ wj 1)) (/ x (+ wj 1))) (exp wj))
86.0ms	(- wj (/ (- (/ (* wj (exp wj)) (+ wj 1)) (/ x (+ wj 1))) (exp wj)))

simplify2.9s

Counts

146 → 146

Iterations

Iter	Nodes
3	6701
2	1783
1	626
0	257

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes114.0ms

Accuracy

0% (1.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	12
1	12
0	8

end0.0ms

sample9.0s

Algorithm

intervals

Results

6.9s	7808×	body	10240	exit
1.1s	6312×	body	80	valid
288.0ms	795×	body	320	valid
261.0ms	445×	body	640	valid
104.0ms	535×	body	160	valid