Details

sample89.0ms

Algorithm

intervals

Results

70.0ms

311×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2008
5	2008
4	1503
3	361
2	95
1	33
0	15

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.6b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ PI 2) (+ a b))
0.2b	(/ (/ PI 2) (+ a b))
4.6b	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)
6.1b	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

7810×	`times-frac`
4872×	`*-un-lft-identity`
3776×	`add-sqr-sqrt`
2848×	`add-cube-cbrt`
618×	`associate-/l*`
548×	`distribute-lft-out`
464×	`distribute-lft-out--` `difference-of-squares`
222×	`div-inv`
100×	`associate-/r/`
42×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
26×	`cbrt-undiv` `div-exp`
14×	`associate-/r*`
8×	`flip3--` `flip--`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`

Counts

4 → 2596

Calls

4 calls:

17.0ms	(/ (/ PI 2) (+ a b))
23.0ms	(/ (/ PI 2) (+ a b))
60.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)
41.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)

series536.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (/ PI 2) (+ a b))
104.0ms	(/ (/ PI 2) (+ a b))
146.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)
187.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)

simplify3.1s

Counts

2608 → 2608

Iterations

Iter	Nodes
done	2863
0	2863

prune14.8s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 1 (- b a)) b)
0.2b	(/ (/ PI 2) (+ a b))
0.2b	(/ (/ PI 2) (+ a b))
4.6b	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

4125×	`times-frac`
2597×	`*-un-lft-identity`
2021×	`add-sqr-sqrt`
1533×	`add-cube-cbrt`
343×	`associate-/l*`
288×	`distribute-lft-out`
244×	`distribute-lft-out--` `difference-of-squares`
122×	`div-inv`
60×	`associate-/r/`
37×	`add-exp-log`
33×	`add-cbrt-cube`
22×	`flip3-+` `div-exp` `flip-+`
19×	`cbrt-undiv`
14×	`associate-/r*`
8×	`flip3--` `flip--`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`rec-exp` `1-exp`

Counts

4 → 1494

Calls

4 calls:

29.0ms	(/ (/ 1 (- b a)) b)
24.0ms	(/ (/ PI 2) (+ a b))
24.0ms	(/ (/ PI 2) (+ a b))
74.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)

series812.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ (/ 1 (- b a)) b)
531.0ms	(/ (/ PI 2) (+ a b))
83.0ms	(/ (/ PI 2) (+ a b))
120.0ms	(/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)

simplify2.5s

Counts

1506 → 1506

Iterations

Iter	Nodes
done	2001
1	2001
0	1961

prune9.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ a b))
0.6b	(cbrt (+ a b))
0.6b	(cbrt (+ a b))
4.5b	(/ (/ (/ (/ 1 2) (cbrt (+ a b))) (- b a)) a)

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

6493×	`times-frac`
3713×	`*-un-lft-identity`
3187×	`add-sqr-sqrt`
2411×	`add-cube-cbrt`
1052×	`cbrt-prod`
491×	`associate-/l*`
388×	`distribute-lft-out--` `difference-of-squares`
263×	`distribute-lft-out`
165×	`div-inv`
48×	`associate-/r/`
46×	`cbrt-div`
26×	`add-exp-log`
23×	`flip3-+` `flip-+`
17×	`div-exp`
16×	`add-cbrt-cube`
10×	`cbrt-undiv`
4×	`expm1-log1p-u` `pow1` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`associate-/r*` `pow1/3`
1×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`

Counts

4 → 2042

Calls

4 calls:

6.0ms	(cbrt (+ a b))
6.0ms	(cbrt (+ a b))
5.0ms	(cbrt (+ a b))
75.0ms	(/ (/ (/ (/ 1 2) (cbrt (+ a b))) (- b a)) a)

series881.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (+ a b))
191.0ms	(cbrt (+ a b))
219.0ms	(cbrt (+ a b))
302.0ms	(/ (/ (/ (/ 1 2) (cbrt (+ a b))) (- b a)) a)

simplify3.0s

Counts

2054 → 2054

Iterations

Iter	Nodes
done	2552
0	2552

prune15.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

localize137.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ a b))
0.6b	(cbrt (+ a b))
0.6b	(cbrt (+ a b))
1.2b	(/ a (/ (/ (sqrt (/ 1 2)) (cbrt (cbrt (+ a b)))) (- b a)))

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

10828×	`times-frac`
6066×	`*-un-lft-identity`
5420×	`add-sqr-sqrt`
4092×	`add-cube-cbrt`
3532×	`cbrt-prod`
2600×	`sqrt-prod`
836×	`associate-/r*`
664×	`distribute-lft-out--` `difference-of-squares`
323×	`distribute-lft-out`
225×	`div-inv`
86×	`cbrt-div`
49×	`associate-/r/`
23×	`flip3-+` `flip-+`
13×	`add-exp-log`
12×	`add-cbrt-cube`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`pow1/3` `associate-/l*`
1×	`clear-num` `frac-2neg`

Counts

4 → 3418

Calls

4 calls:

3.0ms	(cbrt (+ a b))
3.0ms	(cbrt (+ a b))
3.0ms	(cbrt (+ a b))
34.0ms	(/ a (/ (/ (sqrt (/ 1 2)) (cbrt (cbrt (+ a b)))) (- b a)))

series1.2s

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (+ a b))
223.0ms	(cbrt (+ a b))
202.0ms	(cbrt (+ a b))
572.0ms	(/ a (/ (/ (sqrt (/ 1 2)) (cbrt (cbrt (+ a b)))) (- b a)))

simplify6.5s

Counts

3430 → 3430

Iterations

Iter	Nodes
done	4091
0	4091

prune33.3s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes197.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	36
1	36
0	30

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.8s

9561×

body

valid