Details

sample69.0ms

Algorithm

intervals

Results

24.0ms	281×	body	80	nan
22.0ms	256×	body	80	valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	1906
10	1906
9	1870
8	1842
7	1645
6	1282
5	856
4	432
3	193
2	70
1	27
0	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
26×	`associate-l`
24×	`*-un-lft-identity` `add-cube-cbrt`
23×	`add-cbrt-cube` `add-exp-log`
22×	`times-frac`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
11×	`associate-r`
10×	`prod-exp` `associate-*r/` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `sub-neg` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 142

Calls

4 calls:

60.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
6.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
44.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms	(* 3.0 (* v v))

series876.0ms

Counts

4 → 12

Calls

4 calls:

445.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
110.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
274.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
48.0ms	(* 3.0 (* v v))

simplify1.3s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
1	918
0	301

prune914.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))
0.2b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* v v)))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
29×	`associate-l`
28×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
21×	`pow1`
17×	`sqrt-prod`
14×	`associate-r`
13×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
8×	`sqrt-div` `unswap-sqr`
7×	`associate-*l/`
4×	`expm1-log1p-u` `frac-times` `flip3--` `associate-r/` `-commutative` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out` `div-inv`

Counts

4 → 127

Calls

4 calls:

31.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms	(* 3.0 (* v v))
24.0ms	(* 3.0 (* v v))
90.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* v v)))

series704.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
50.0ms	(* 3.0 (* v v))
60.0ms	(* 3.0 (* v v))
304.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* v v)))

simplify2.7s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	3842
1	663
0	237

prune973.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
0.2b	(* 3.0 (* v v))

rewrite486.0ms

Algorithm

rewrite-expression-head

Rules

100×	`frac-times`
67×	`add-sqr-sqrt`
52×	`sqrt-div`
50×	`-un-lft-identity` `associate-l/`
46×	`add-cube-cbrt`
44×	`flip3--` `flip--`
37×	`add-cbrt-cube` `add-exp-log`
36×	`prod-diff` `associate-*r/` `sqrt-prod`
27×	`associate-l`
25×	`pow1`
24×	`flip3-+` `flip-+`
22×	`times-frac`
21×	`distribute-rgt-in` `distribute-lft-in`
19×	`prod-exp` `cbrt-unprod`
17×	`associate-r`
13×	`pow-prod-down`
7×	`unswap-sqr`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`sub-neg` `difference-of-squares`
1×	`div-inv` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 238

Calls

4 calls:

313.0ms	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
32.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
97.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
24.0ms	(* 3.0 (* v v))

series1.1s

Counts

4 → 12

Calls

4 calls:

574.0ms	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
291.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
239.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
33.0ms	(* 3.0 (* v v))

simplify1.9s

Counts

250 → 250

Iterations

Iter	Nodes
done	5002
1	1761
0	488

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample2.1s

Algorithm

intervals

Results

949.0ms	8000×	body	80	valid
880.0ms	8005×	body	80	nan