Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	232×	body	80	nan

simplify910.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	69	19
3	167	19
4	325	19
5	595	19
6	856	19
7	952	19
8	969	19
done	969	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite66.0ms

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:

3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
33.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
19.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms	(* 3.0 (* v v))

series607.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
307.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
194.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
27.0ms	(* 3.0 (* v v))

simplify1.0s

Counts

140 → 140

Iterations

Useful iterations: 2 (253.0ms)

Iter	Nodes	Cost
0	278	3102
1	812	2868
2	3335	2648
done	5000	2648

prune372.0ms

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) (cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)))
0.0b	(pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)
0.0b	(cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3))
0.2b	(* 3.0 (* v v))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-sqr-sqrt`
54×	`cbrt-prod`
40×	`sqrt-prod`
34×	`add-cube-cbrt` `*-un-lft-identity`
32×	`times-frac`
25×	`associate-l`
24×	`unpow-prod-down` `cube-prod`
22×	`associate-r` `unswap-sqr`
15×	`add-exp-log`
13×	`pow1` `add-cbrt-cube`
8×	`cube-div` `sqrt-div`
6×	`cbrt-div` `sqr-pow`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `pow-prod-down` `flip--` `add-log-exp`
3×	`cube-mult` `pow-unpow` `pow-pow` `unpow3`
2×	`frac-times` `associate-r/` `-commutative`
1×	`cbrt-undiv` `pow-to-exp` `sqrt-pow1` `pow1/2` `pow1/3` `div-exp` `associate-*l/` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 164

Calls

4 calls:

39.0ms	(* (/ (sqrt 2.0) 4.0) (cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)))
4.0ms	(pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)
4.0ms	(cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3))
7.0ms	(* 3.0 (* v v))

series673.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (/ (sqrt 2.0) 4.0) (cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)))
372.0ms	(pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3)
78.0ms	(cbrt (pow (sqrt (- 1.0 (* 3.0 (* v v)))) 3))
25.0ms	(* 3.0 (* v v))

simplify1.0s

Counts

176 → 176

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	271	3589
1	693	2808
2	2713	2729
done	5000	2725

prune392.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

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:

6.0ms	(/ (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)

simplify2.4s

Counts

118 → 118

Iterations

Useful iterations: 4 (826.0ms)

Iter	Nodes	Cost
0	134	1397
1	201	1310
2	491	1259
3	1484	1250
4	4663	1221
done	5000	1221

prune378.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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	17	22
1	20	22
done	20	22

end0.0ms

sample745.0ms

Algorithm

intervals

Results

285.0ms	8132×	body	80	nan
275.0ms	8000×	body	80	valid