Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	263×	body	80	nan
8.0ms	256×	body	80	valid

simplify73.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	194	10
3	416	10
4	816	10
5	1207	10
6	1368	10
7	1505	10
8	1511	10
9	1511	10
done	1511	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
26×	`associate-l`
24×	`add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log` `add-cbrt-cube`
22×	`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`
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:

7.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
67.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
31.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
17.0ms	(* 3.0 (* v v))

series616.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
311.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
200.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
27.0ms	(* 3.0 (* v v))

simplify94.0ms

Counts

154 → 154

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	871	1794
1	3991	1686
2	5001	1684
done	5001	1684

prune415.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
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)))) (- 1.0 (* v v)))
0.2b	(* 3.0 (* v v))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
31×	`associate-l`
28×	`add-cube-cbrt` `*-un-lft-identity`
25×	`distribute-rgt-in` `distribute-lft-in`
23×	`add-exp-log` `add-cbrt-cube`
20×	`frac-times` `sqrt-div`
19×	`flip3--` `flip--`
18×	`times-frac` `prod-diff`
17×	`pow1`
16×	`sqrt-prod`
14×	`associate-*r/`
10×	`prod-exp` `cbrt-unprod`
7×	`pow-prod-down` `associate-*l/`
6×	`sub-neg` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`cbrt-undiv` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 161

Calls

4 calls:

7.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
61.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
32.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
16.0ms	(* 3.0 (* v v))

series778.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
503.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
174.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
29.0ms	(* 3.0 (* v v))

simplify103.0ms

Counts

173 → 173

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	987	2208
1	4139	2069
2	5001	2067
done	5001	2067

prune427.0ms

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

45×	`distribute-rgt-in` `distribute-lft-in`
38×	`add-sqr-sqrt`
32×	`add-cube-cbrt` `*-un-lft-identity`
31×	`associate-l`
30×	`prod-diff`
23×	`add-exp-log` `log-prod` `add-cbrt-cube`
20×	`frac-times` `exp-sum`
18×	`flip3--` `times-frac` `sqrt-div` `flip--`
17×	`pow1`
14×	`associate-*r/`
13×	`sqrt-prod`
10×	`sub-neg` `prod-exp` `cbrt-unprod`
7×	`pow-prod-down` `associate-*l/`
6×	`associate-r`
5×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`log-pow` `*-commutative` `unswap-sqr`
2×	`cbrt-undiv` `div-exp`
1×	`exp-prod` `exp-to-pow` `rem-log-exp` `div-inv` `difference-of-squares`

Counts

4 → 180

Calls

4 calls:

62.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
12.0ms	(log (exp (* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))))
29.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
18.0ms	(* 3.0 (* v v))

series799.0ms

Counts

4 → 12

Calls

4 calls:

307.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
297.0ms	(log (exp (* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))))
165.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
29.0ms	(* 3.0 (* v v))

simplify107.0ms

Counts

192 → 192

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	1055	2801
1	4338	2619
2	5001	2618
done	5001	2618

prune528.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10
done	17	10

end0.0ms

sample770.0ms

Algorithm

intervals

Results

273.0ms	8270×	body	80	nan
259.0ms	8000×	body	80	valid