Details

sample86.0ms

Algorithm

intervals

Results

30.0ms	256×	body	80	valid
27.0ms	321×	body	80	nan

simplify5.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	1523
11	1523
10	1510
9	1477
8	1170
7	962
6	813
5	651
4	396
3	189
2	70
1	27
0	14

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

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))

rewrite279.0ms

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:

15.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
141.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
77.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
33.0ms	(* 3.0 (* v v))

series1.1s

Counts

4 → 12

Calls

4 calls:

148.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
537.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
347.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
57.0ms	(* 3.0 (* v v))

simplify4.1s

Counts

154 → 154

Iterations

Iter	Nodes
done	5051
2	3551
1	915
0	301

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize44.0ms

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 (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
0.2b	(* 3.0 (* v v))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 161

Calls

4 calls:

14.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
120.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
70.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
35.0ms	(* 3.0 (* v v))

series1.2s

Counts

4 → 12

Calls

4 calls:

142.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
597.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
356.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
74.0ms	(* 3.0 (* v v))

simplify4.9s

Counts

173 → 173

Iterations

Iter	Nodes
done	5000
2	3917
1	1042
0	337

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize94.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.8s

Algorithm

rewrite-expression-head

Rules

3245×	`frac-times`
1626×	`flip3--` `flip--`
1579×	`associate-*r/`
757×	`associate-*l/`
654×	`sqrt-div`
193×	`add-exp-log` `add-cbrt-cube`
160×	`distribute-rgt-in` `distribute-lft-in`
125×	`prod-exp` `cbrt-unprod`
54×	`pow1`
48×	`prod-diff`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt` `*-un-lft-identity`
37×	`pow-prod-down`
29×	`cbrt-undiv` `div-exp`
28×	`associate-l`
18×	`times-frac`
16×	`sub-neg`
13×	`associate-r` `sqrt-prod`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`
1×	`div-inv` `difference-of-squares`

Counts

4 → 1225

Calls

4 calls:

59.0ms	(* (- 1.0 (* v v)) (sqrt (- 1.0 (* (* 3.0 v) v))))
28.0ms	(* (* 3.0 v) v)
34.0ms	(* (* 3.0 v) v)
3.9s	(* (/ (sqrt 2.0) 4.0) (* (/ (sqrt 2.0) 4.0) (* (* (- 1.0 (* v v)) (sqrt (- 1.0 (* (* 3.0 v) v)))) (* (* (- 1.0 (* v v)) (- 1.0 (* v v))) (- 1.0 (* (* 3.0 v) v))))))

series1.3s

Counts

4 → 12

Calls

4 calls:

319.0ms	(* (- 1.0 (* v v)) (sqrt (- 1.0 (* (* 3.0 v) v))))
53.0ms	(* (* 3.0 v) v)
53.0ms	(* (* 3.0 v) v)
917.0ms	(* (/ (sqrt 2.0) 4.0) (* (/ (sqrt 2.0) 4.0) (* (* (- 1.0 (* v v)) (sqrt (- 1.0 (* (* 3.0 v) v)))) (* (* (- 1.0 (* v v)) (- 1.0 (* v v))) (- 1.0 (* (* 3.0 v) v))))))

simplify9.0s

Counts

1237 → 1237

Iterations

Iter	Nodes
done	5000
0	2839

prune21.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	29
1	29
0	21

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	8000×	body	80	valid
952.0ms	7939×	body	80	nan