Details

sample190.0ms

Algorithm

intervals

Results

139.0ms	269×	body	10240	exit
12.0ms	210×	body	80	valid
3.0ms	20×	body	320	valid
3.0ms	21×	body	160	valid
2.0ms	10×	body	640	valid

simplify5.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (247.0ms)

Iter	Nodes	Cost
0	8	16
1	21	15
2	52	15
3	111	15
4	206	14
5	686	12
6	2789	12
done	5001	12

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- wj (/ x (exp wj))) (+ 1 wj))
0.0b	(/ x (exp wj))
5.4b	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

177×	`add-sqr-sqrt`
173×	`*-un-lft-identity`
123×	`times-frac`
90×	`prod-diff`
87×	`add-cube-cbrt`
36×	`difference-of-squares`
25×	`distribute-lft-out`
18×	`distribute-lft-out--`
9×	`associate-/l*`
8×	`associate-/r/`
7×	`associate-/r*` `add-cbrt-cube`
6×	`add-exp-log`
5×	`div-inv` `add-log-exp`
4×	`flip3-+` `flip-+`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 193

Calls

3 calls:

66.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
12.0ms	(/ x (exp wj))
109.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

series153.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- wj (/ x (exp wj))) (+ 1 wj))
31.0ms	(/ x (exp wj))
72.0ms	(- wj (/ (- wj (/ x (exp wj))) (+ 1 wj)))

simplify2.1s

Counts

202 → 202

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	331	8699
1	824	7901
2	2232	5818
done	5001	4977

prune604.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize12.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune9.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- wj (/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))) (+ 1 wj))
0.0b	(/ x (sqrt (exp wj)))
0.0b	(/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))
5.4b	(- wj (/ (- wj (/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))) (+ 1 wj)))

rewrite791.0ms

Algorithm

rewrite-expression-head

Rules

685×	`add-sqr-sqrt`
623×	`times-frac`
398×	`*-un-lft-identity`
272×	`add-cube-cbrt`
229×	`sqrt-prod`
150×	`prod-diff`
121×	`difference-of-squares`
45×	`distribute-lft-out`
36×	`associate-/l*`
18×	`distribute-lft-out--`
16×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube` `div-inv`
8×	`associate-/r/`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `clear-num` `associate-/l/`
2×	`flip3--` `div-sub` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

4 → 467

Calls

4 calls:

356.0ms	(/ (- wj (/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))) (+ 1 wj))
9.0ms	(/ x (sqrt (exp wj)))
36.0ms	(/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))
344.0ms	(- wj (/ (- wj (/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))) (+ 1 wj)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (- wj (/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))) (+ 1 wj))
48.0ms	(/ x (sqrt (exp wj)))
58.0ms	(/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))
72.0ms	(- wj (/ (- wj (/ (/ x (sqrt (exp wj))) (sqrt (exp wj)))) (+ 1 wj)))

simplify3.2s

Counts

479 → 479

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	564	24065
1	1357	19939
2	3378	14557
done	5001	13944

prune982.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- wj (/ x (exp wj))) (fma (- wj) wj 1))
0.0b	(/ x (exp wj))
0.0b	(/ x (exp wj))
5.4b	(fma (- wj 1) (/ (- wj (/ x (exp wj))) (fma (- wj) wj 1)) wj)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
40×	`times-frac`
39×	`*-un-lft-identity`
31×	`add-cube-cbrt`
12×	`associate-/l*`
10×	`add-cbrt-cube`
9×	`associate-/r*`
8×	`add-exp-log` `difference-of-squares`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
2×	`associate-/l/`
1×	`flip3--` `div-sub` `flip--` `fma-udef`

Counts

4 → 112

Calls

4 calls:

86.0ms	(/ (- wj (/ x (exp wj))) (fma (- wj) wj 1))
14.0ms	(/ x (exp wj))
14.0ms	(/ x (exp wj))
1.0ms	(fma (- wj 1) (/ (- wj (/ x (exp wj))) (fma (- wj) wj 1)) wj)

series271.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ (- wj (/ x (exp wj))) (fma (- wj) wj 1))
39.0ms	(/ x (exp wj))
59.0ms	(/ x (exp wj))
89.0ms	(fma (- wj 1) (/ (- wj (/ x (exp wj))) (fma (- wj) wj 1)) wj)

simplify2.3s

Counts

124 → 124

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	167	1751
1	355	1710
2	861	1592
3	2154	1586
done	5000	1584

prune686.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

regimes76.0ms

Accuracy

62.3% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 2.2b

bsearch31.0ms

Steps

Iters	Range		Point
6	1.2374180015220204e-09	1.8107251634373757e-08	8.133938014656618e-09

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	30
1	22	30
done	22	30

end0.0ms

sample6.3s

Algorithm

intervals

Results

4.8s	7481×	body	10240	exit
422.0ms	6291×	body	80	valid
212.0ms	786×	body	320	valid
158.0ms	468×	body	640	valid
66.0ms	534×	body	160	valid