Details

sample43.0ms

Algorithm

intervals

Results

13.0ms	272×	body	80	nan
12.0ms	256×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	1176
10	1176
9	1169
8	1023
7	838
6	699
5	568
4	353
3	177
2	70
1	27
0	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
26×	`associate-l`
23×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
11×	`associate-r`
10×	`prod-exp` `associate-*r/` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`distribute-rgt-in` `cbrt-undiv` `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:

6.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
79.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
44.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

series887.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
438.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
286.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
40.0ms	(* 3.0 (* v v))

simplify2.3s

Counts

140 → 140

Iterations

Iter	Nodes
done	5013
2	3348
1	845
0	278

prune906.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

76×	`sqrt-prod`
72×	`sqrt-div`
68×	`add-sqr-sqrt`
42×	`pow1`
37×	`associate-l`
32×	`sqrt-pow1`
31×	`*-un-lft-identity` `add-cube-cbrt`
28×	`add-cbrt-cube` `add-exp-log`
20×	`frac-times` `times-frac`
18×	`flip3--` `flip--`
16×	`pow1/2`
15×	`swap-sqr`
14×	`pow-prod-down` `associate-*r/` `unswap-sqr`
13×	`prod-exp` `cbrt-unprod`
12×	`associate-r`
9×	`pow-prod-up`
7×	`associate-*l/`
5×	`pow-sqr`
4×	`*-commutative` `add-log-exp`
2×	`cbrt-undiv` `div-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `div-inv`

Counts

4 → 182

Calls

4 calls:

46.0ms	(* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
79.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))))
13.0ms	(* 3.0 (* v v))
16.0ms	(* 3.0 (* v v))

series447.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
259.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))))
46.0ms	(* 3.0 (* v v))
52.0ms	(* 3.0 (* v v))

simplify1.9s

Counts

194 → 194

Iterations

Iter	Nodes
done	5000
2	2116
1	710
0	277

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 3.0 (* v v)) (* 3.0 (* v v)))
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

133×	`pow1`
75×	`pow-prod-down`
55×	`add-cbrt-cube` `add-exp-log`
36×	`prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-l`
9×	`pow-sqr` `pow-prod-up`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `*-commutative` `add-log-exp`
3×	`pow-plus` `unswap-sqr`
1×	`pow2` `swap-sqr`

Counts

4 → 117

Calls

4 calls:

90.0ms	(* (* 3.0 (* v v)) (* 3.0 (* v v)))
14.0ms	(* 3.0 (* v v))
18.0ms	(* 3.0 (* v v))
18.0ms	(* 3.0 (* v v))

series163.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* 3.0 (* v v)) (* 3.0 (* v v)))
35.0ms	(* 3.0 (* v v))
38.0ms	(* 3.0 (* v v))
29.0ms	(* 3.0 (* v v))

simplify4.7s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
3	4392
2	694
1	188
0	68

prune457.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	23
1	23
0	19

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s	8173×	body	80	nan
666.0ms	8000×	body	80	valid