Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	234×	body	80	nan

simplify822.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	69	19
3	166	19
4	316	19
5	575	19
6	825	19
7	920	19
8	938	19
done	938	19

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)))))
0.1b	(* 3.0 (* v v))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

31.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
18.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series637.0ms

Counts

4 → 12

Calls

4 calls:

320.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
82.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
205.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
29.0ms	(* 3.0 (* v v))

simplify968.0ms

Counts

140 → 140

Iterations

Useful iterations: 2 (335.0ms)

Iter	Nodes	Cost
0	278	3102
1	804	2836
2	3065	2648
done	5000	2648

prune372.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(log (exp (sqrt (- 1.0 (* 3.0 (* v v))))))
0.0b	(* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))
0.1b	(* 3.0 (* v v))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
25×	`associate-l`
20×	`times-frac`
19×	`sqrt-prod`
14×	`pow1` `add-exp-log` `log-pow` `add-cbrt-cube`
12×	`exp-prod`
11×	`associate-r`
9×	`log-prod`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `add-log-exp` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sqrt-div` `*-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `div-exp` `rem-log-exp` `associate-*l/` `flip--` `div-inv`

Counts

4 → 107

Calls

4 calls:

2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
5.0ms	(log (exp (sqrt (- 1.0 (* 3.0 (* v v))))))
31.0ms	(* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))
7.0ms	(* 3.0 (* v v))

series409.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
84.0ms	(log (exp (sqrt (- 1.0 (* 3.0 (* v v))))))
209.0ms	(* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))
30.0ms	(* 3.0 (* v v))

simplify545.0ms

Counts

119 → 119

Iterations

Useful iterations: 2 (185.0ms)

Iter	Nodes	Cost
0	221	2002
1	515	1743
2	1579	1620
done	5001	1620

prune513.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (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))))
0.1b	(* 3.0 (* v v))
1.0b	(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

80×	`add-exp-log`
59×	`add-cbrt-cube`
58×	`frac-times`
43×	`prod-exp`
38×	`associate-*r/`
35×	`associate-l`
34×	`sqrt-div`
30×	`sqrt-prod` `cbrt-unprod`
29×	`add-sqr-sqrt` `flip3--` `flip--`
27×	`times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
24×	`pow1`
23×	`associate-*l/`
18×	`div-exp`
12×	`pow-prod-down`
10×	`cbrt-undiv`
6×	`1-exp` `associate-r`
4×	`add-log-exp`
3×	`*-commutative`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

4 → 174

Calls

4 calls:

123.0ms	(* (* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
6.0ms	(* 3.0 (* v v))
42.0ms	(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

series643.0ms

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
82.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
30.0ms	(* 3.0 (* v v))
209.0ms	(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify1.5s

Counts

186 → 186

Iterations

Useful iterations: 2 (515.0ms)

Iter	Nodes	Cost
0	368	5739
1	1215	4212
2	4260	3768
done	5000	3768

prune456.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	21
1	19	21
done	19	21

end0.0ms

sample717.0ms

Algorithm

intervals

Results

273.0ms	8000×	body	80	valid
271.0ms	8044×	body	80	nan