Details

sample223.0ms

Algorithm

intervals

Results

146.0ms	326×	body	10240	exit
36.0ms	205×	body	80	valid
5.0ms	15×	body	640	valid
5.0ms	21×	body	320	valid
2.0ms	17×	body	160	valid

simplify6.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5021
6	3219
5	865
4	188
3	102
2	48
1	20
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.3b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
3.7b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

24.0ms	(* wj (exp wj))
23.0ms	(+ (exp wj) (* wj (exp wj)))
78.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
100.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series335.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* wj (exp wj))
70.0ms	(+ (exp wj) (* wj (exp wj)))
92.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
111.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify2.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1265
1	409
0	161

prune833.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*l/` `frac-sub`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `diff-log` `sum-log` `add-cbrt-cube`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

2 → 29

Calls

2 calls:

69.0ms	(- (+ x (* wj wj)) (* (+ wj wj) x))
12.0ms	(+ x (* wj wj))

series129.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(- (+ x (* wj wj)) (* (+ wj wj) x))
65.0ms	(+ x (* wj wj))

simplify2.3s

Counts

35 → 35

Iterations

Iter	Nodes
done	5001
2	1011
1	262
0	78

prune286.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize52.0ms

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)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

63.0ms	(* (cbrt (+ x (* wj wj))) (cbrt (+ x (* wj wj))))
7.0ms	(cbrt (+ x (* wj wj)))
7.0ms	(cbrt (+ x (* wj wj)))
7.0ms	(cbrt (+ x (* wj wj)))

series2.3s

Counts

4 → 12

Calls

4 calls:

461.0ms	(* (cbrt (+ x (* wj wj))) (cbrt (+ x (* wj wj))))
540.0ms	(cbrt (+ x (* wj wj)))
627.0ms	(cbrt (+ x (* wj wj)))
666.0ms	(cbrt (+ x (* wj wj)))

simplify6.2s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
4	4588
3	1673
2	707
1	280
0	120

prune904.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (- (* wj (exp wj)) x) (exp wj)) (+ 1 wj))
0.0b	(* wj (exp wj))
0.3b	(/ (- (* wj (exp wj)) x) (exp wj))
3.7b	(- wj (/ (/ (- (* wj (exp wj)) x) (exp wj)) (+ 1 wj)))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 152

Calls

4 calls:

83.0ms	(/ (/ (- (* wj (exp wj)) x) (exp wj)) (+ 1 wj))
25.0ms	(* wj (exp wj))
67.0ms	(/ (- (* wj (exp wj)) x) (exp wj))
127.0ms	(- wj (/ (/ (- (* wj (exp wj)) x) (exp wj)) (+ 1 wj)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(/ (/ (- (* wj (exp wj)) x) (exp wj)) (+ 1 wj))
51.0ms	(* wj (exp wj))
82.0ms	(/ (- (* wj (exp wj)) x) (exp wj))
93.0ms	(- wj (/ (/ (- (* wj (exp wj)) x) (exp wj)) (+ 1 wj)))

simplify3.0s

Counts

164 → 164

Iterations

Iter	Nodes
done	5001
2	1811
1	614
0	242

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.4b

regimes221.0ms

Accuracy

34% (1.1b remaining)

Error of 1.5b against oracle of 0.3b and baseline of 2.1b

bsearch75.0ms

Steps

Iters	Range		Point
8	-1.1785608538762668e-07	-5.212462118803251e-11	-6.0703361117458625e-09

simplify7.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end0.0ms

sample9.0s

Algorithm

intervals

Results

7.3s	7596×	body	10240	exit
573.0ms	6276×	body	80	valid
189.0ms	769×	body	320	valid
163.0ms	468×	body	640	valid
139.0ms	563×	body	160	valid