Details

sample62.0ms

Algorithm

intervals

Results

28.0ms	288×	body	80	nan
14.0ms	256×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	70	19
3	180	19
4	356	19
5	657	19
6	935	19
7	1052	19
8	1133	19
done	1133	19

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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))

rewrite189.0ms

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:

5.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
90.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
53.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
35.0ms	(* 3.0 (* v v))

series1000.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
520.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
300.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
41.0ms	(* 3.0 (* v v))

simplify1.9s

Counts

140 → 140

Iterations

Useful iterations: 2 (589.0ms)

Iter	Nodes	Cost
0	278	3102
1	796	2836
2	2958	2648
done	5000	2648

prune688.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

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 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))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
30×	`sqrt-div`
26×	`associate-l`
24×	`sqrt-prod`
23×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
22×	`times-frac`
18×	`frac-times`
17×	`pow1`
15×	`flip3--` `flip--`
14×	`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` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 127

Calls

4 calls:

96.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- 1.0 (* v v))))
10.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
63.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
22.0ms	(* 3.0 (* v v))

series843.0ms

Counts

4 → 12

Calls

4 calls:

378.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- 1.0 (* v v))))
114.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
296.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
54.0ms	(* 3.0 (* v v))

simplify1.8s

Counts

139 → 139

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	284	3053
1	730	2739
2	2419	2575
done	5001	2547

prune716.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(/ (* (* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- (* 1.0 1.0) (pow v 4)))) (* 4.0 (sqrt (+ 1.0 (* v v)))))
0.0b	(* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt`
18×	`sqrt-div`
14×	`pow1`
13×	`prod-exp` `sqrt-prod` `cbrt-unprod`
12×	`associate-*r/`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l`
8×	`flip3--` `flip--` `associate-/l/`
7×	`associate-r`
6×	`cbrt-undiv` `div-exp` `pow-prod-down`
5×	`unswap-sqr`
4×	`frac-times` `add-log-exp`
3×	`sqrt-pow1` `pow1/2`
2×	`associate-l/` `associate-/r/` `-commutative`
1×	`rem-sqrt-square` `frac-2neg` `flip3-+` `times-frac` `sqrt-unprod` `clear-num` `associate-/r` `flip-+` `div-inv` `associate-/l`

Counts

4 → 101

Calls

4 calls:

7.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
105.0ms	(/ (* (* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- (* 1.0 1.0) (pow v 4)))) (* 4.0 (sqrt (+ 1.0 (* v v)))))
40.0ms	(* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

series837.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
474.0ms	(/ (* (* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- (* 1.0 1.0) (pow v 4)))) (* 4.0 (sqrt (+ 1.0 (* v v)))))
223.0ms	(* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
29.0ms	(* 3.0 (* v v))

simplify2.3s

Counts

113 → 113

Iterations

Useful iterations: 2 (1.1s)

Iter	Nodes	Cost
0	250	2675
1	680	2318
2	3015	2058
done	5001	2058

prune705.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	36
1	30	36
done	30	36

end0.0ms

sample2.0s

Algorithm

intervals

Results

798.0ms	8000×	body	80	valid
761.0ms	8051×	body	80	nan