Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	282×	body	80	nan
9.0ms	256×	body	80	valid

simplify1.3s

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 (- 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))

rewrite61.0ms

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:

2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
30.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
18.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series612.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
305.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
197.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
28.0ms	(* 3.0 (* v v))

simplify1.1s

Counts

140 → 140

Iterations

Useful iterations: 2 (375.0ms)

Iter	Nodes	Cost
0	278	3102
1	804	2868
2	2984	2648
done	5000	2648

prune373.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

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	(* (- (* v v)) (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

17.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))
6.0ms	(* 3.0 (* v v))
27.0ms	(* (- (* v v)) (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

series488.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
31.0ms	(* 3.0 (* v v))
25.0ms	(* 3.0 (* v v))
226.0ms	(* (- (* v v)) (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify888.0ms

Counts

131 → 131

Iterations

Useful iterations: 2 (267.0ms)

Iter	Nodes	Cost
0	227	2205
1	602	2028
2	2174	1870
done	5000	1870

prune364.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (sqrt (cbrt 2.0)) (cbrt 4.0))
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod`
54×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
42×	`sqrt-prod`
9×	`associate-/l*`
6×	`add-exp-log` `associate-/r*`
5×	`add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 114

Calls

4 calls:

5.0ms	(/ (sqrt (cbrt 2.0)) (cbrt 4.0))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (sqrt (cbrt 2.0)) (cbrt 4.0))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify4.0s

Counts

118 → 118

Iterations

Useful iterations: 4 (309.0ms)

Iter	Nodes	Cost
0	129	1321
1	181	1246
2	322	1199
3	624	1190
4	1044	1189
5	1459	1189
6	2446	1189
done	5000	1189

prune362.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	26	34
2	29	34
3	36	34
4	38	34
done	38	34

end0.0ms

sample714.0ms

Algorithm

intervals

Results

275.0ms	8255×	body	80	nan
265.0ms	8000×	body	80	valid