Details

sample33.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
9.0ms	272×	body	80	nan

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	69	19
3	178	19
4	360	19
5	645	19
6	915	19
7	1033	19
8	1073	19
9	1079	19
done	1079	19

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite65.0ms

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:

31.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
18.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms	(* 3.0 (* v v))

series626.0ms

Counts

4 → 12

Calls

4 calls:

314.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
81.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
201.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
30.0ms	(* 3.0 (* v v))

simplify1.2s

Counts

154 → 154

Iterations

Useful iterations: 2 (483.0ms)

Iter	Nodes	Cost
0	301	3466
1	866	3174
2	3339	2946
done	5000	2946

prune424.0ms

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)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cube-div`
20×	`frac-times` `cbrt-div` `sqrt-div`
19×	`add-sqr-sqrt`
18×	`cbrt-prod`
17×	`add-exp-log`
16×	`flip3--` `add-cbrt-cube` `flip--`
14×	`pow1` `associate-l`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
10×	`associate-*l/`
6×	`prod-diff` `prod-exp` `cbrt-unprod`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr` `sqr-pow`
3×	`cube-mult` `unpow-prod-down` `pow-unpow` `unpow3` `cube-prod` `pow-exp` `rem-cube-cbrt`
2×	`sub-neg` `pow-pow` `*-commutative`
1×	`cbrt-undiv` `pow-to-exp` `pow1/3` `div-exp` `rem-cbrt-cube` `difference-of-squares`

Counts

4 → 134

Calls

4 calls:

18.0ms	(* (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))
13.0ms	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

series1.2s

Counts

4 → 12

Calls

4 calls:

320.0ms	(* (cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)) (- 1.0 (* v v)))
172.0ms	(cbrt (pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3))
24.0ms	(* 3.0 (* v v))
672.0ms	(pow (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) 3)

simplify1.2s

Counts

146 → 146

Iterations

Useful iterations: 2 (416.0ms)

Iter	Nodes	Cost
0	305	3903
1	832	3326
2	3511	3114
done	5001	3114

prune475.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- 1.0 (* 3.0 (* v v))))
0.0b	(cbrt (- 1.0 (* 3.0 (* v v))))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
1.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
7.0ms	(* 3.0 (* v v))
7.0ms	(* 3.0 (* v v))

series546.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
246.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
24.0ms	(* 3.0 (* v v))
28.0ms	(* 3.0 (* v v))

simplify1.9s

Counts

84 → 84

Iterations

Useful iterations: 3 (823.0ms)

Iter	Nodes	Cost
0	125	1176
1	300	1086
2	944	1022
3	4295	918
done	5000	918

prune295.0ms

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

sample746.0ms

Algorithm

intervals

Results

286.0ms	8079×	body	80	nan
275.0ms	8000×	body	80	valid