Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	272×	body	80	nan
9.0ms	256×	body	80	valid

simplify834.0ms

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

localize11.0ms

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))

rewrite64.0ms

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:

34.0ms	(* (* (/ (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))))
17.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series651.0ms

Counts

4 → 12

Calls

4 calls:

320.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
80.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
209.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
42.0ms	(* 3.0 (* v v))

simplify1.0s

Counts

140 → 140

Iterations

Useful iterations: 2 (343.0ms)

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

prune376.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)) (- 1.0 (* v v)))
0.0b	(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
0.1b	(* 3.0 (* v v))
1.0b	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cube-div`
20×	`frac-times` `cbrt-div` `sqrt-div`
18×	`cbrt-prod`
17×	`add-exp-log` `add-sqr-sqrt`
16×	`flip3--` `add-cbrt-cube` `flip--`
14×	`pow1` `associate-l`
12×	`associate-*r/`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-r` `pow-prod-down`
4×	`add-log-exp` `unswap-sqr` `sqr-pow`
3×	`cube-mult` `unpow-prod-down` `pow-unpow` `unpow3` `cube-prod` `pow-exp` `rem-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `pow-pow` `distribute-lft-in` `*-commutative`
1×	`cbrt-undiv` `pow-to-exp` `pow1/3` `div-exp` `rem-cbrt-cube` `difference-of-squares`

Counts

4 → 120

Calls

4 calls:

20.0ms	(* (cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)) (- 1.0 (* v v)))
2.0ms	(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
6.0ms	(* 3.0 (* v v))
8.0ms	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

series1.0s

Counts

4 → 12

Calls

4 calls:

318.0ms	(* (cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)) (- 1.0 (* v v)))
173.0ms	(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
24.0ms	(* 3.0 (* v v))
517.0ms	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

simplify977.0ms

Counts

132 → 132

Iterations

Useful iterations: 2 (282.0ms)

Iter	Nodes	Cost
0	282	3477
1	783	2978
2	3281	2810
done	5000	2810

prune426.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.28125 (/ (* (sqrt 2.0) (pow v 4)) (pow (sqrt 1.0) 3)))
0.1b	(* (sqrt 2.0) (pow v 4))
0.2b	(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
0.2b	(* (sqrt 2.0) (pow v 2))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-exp-log`
49×	`add-sqr-sqrt`
47×	`associate-r`
36×	`prod-exp`
26×	`add-cbrt-cube`
24×	`times-frac`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`sqrt-prod`
18×	`associate-l`
16×	`unpow-prod-down` `div-exp` `unswap-sqr`
10×	`pow-to-exp` `pow-exp` `cbrt-unprod`
8×	`pow1`
7×	`sqr-pow`
6×	`cube-prod`
4×	`cbrt-undiv` `*-commutative` `add-log-exp`
3×	`unpow2`
2×	`associate-*r/` `pow-prod-down` `div-inv`
1×	`cube-mult` `unpow3`

Counts

4 → 149

Calls

4 calls:

26.0ms	(* 0.28125 (/ (* (sqrt 2.0) (pow v 4)) (pow (sqrt 1.0) 3)))
7.0ms	(* (sqrt 2.0) (pow v 4))
14.0ms	(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
8.0ms	(* (sqrt 2.0) (pow v 2))

series418.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* 0.28125 (/ (* (sqrt 2.0) (pow v 4)) (pow (sqrt 1.0) 3)))
55.0ms	(* (sqrt 2.0) (pow v 4))
121.0ms	(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
45.0ms	(* (sqrt 2.0) (pow v 2))

simplify1.0s

Counts

161 → 161

Iterations

Useful iterations: 2 (325.0ms)

Iter	Nodes	Cost
0	243	2034
1	603	1814
2	2531	1600
done	5001	1600

prune662.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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

sample768.0ms

Algorithm

intervals

Results

289.0ms	8000×	body	80	valid
284.0ms	8079×	body	80	nan