Details

sample68.0ms

Algorithm

intervals

Results

33.0ms	248×	body	80	nan
22.0ms	256×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
6	3640
5	1649
4	728
3	223
2	73
1	29
0	14

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.0b	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
0.0b	(- 1 (* 3 (* v v)))
0.1b	(* 3 (* v v))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
26×	`associate-l`
23×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity` `times-frac`
21×	`add-cube-cbrt`
18×	`frac-times`
17×	`sqrt-prod`
16×	`pow1` `sqrt-div`
15×	`flip3--` `flip--`
12×	`associate-r`
10×	`prod-exp` `associate-*r/` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
6×	`add-log-exp`
4×	`insert-posit16`
3×	`sub-neg` `*-commutative`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `difference-of-squares`
1×	`diff-log` `div-inv`

Counts

4 → 130

Calls

4 calls:

31.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
88.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
11.0ms	(- 1 (* 3 (* v v)))
33.0ms	(* 3 (* v v))

series648.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
297.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
86.0ms	(- 1 (* 3 (* v v)))
34.0ms	(* 3 (* v v))

simplify1.9s

Counts

142 → 142

Iterations

Iter	Nodes
done	5002
2	2997
1	792
0	260

prune736.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b	(* -3 (* v v))
0.1b	(* -3 (* v v))
0.1b	(* -3 (* v v))
1.0b	(* (/ (* (sqrt (+ 1 (* -3 (* v v)))) (sqrt 2)) 4) (* (/ (* (sqrt (+ 1 (* -3 (* v v)))) (sqrt 2)) 4) (* (- 1 (* v v)) (* (- 1 (* v v)) (- 1 (* v v))))))

rewrite719.0ms

Algorithm

rewrite-expression-head

Rules

217×	`frac-times`
190×	`add-cbrt-cube` `add-exp-log`
161×	`associate-*r/`
112×	`prod-exp` `cbrt-unprod`
108×	`flip3--` `flip--`
64×	`distribute-rgt-in` `distribute-lft-in`
38×	`cbrt-undiv` `div-exp`
35×	`associate-*l/`
33×	`pow1`
19×	`pow-prod-down`
16×	`sub-neg` `associate-l`
12×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp`
3×	`times-frac` `unswap-sqr`
1×	`div-inv`

Counts

4 → 280

Calls

4 calls:

25.0ms	(* -3 (* v v))
27.0ms	(* -3 (* v v))
28.0ms	(* -3 (* v v))
631.0ms	(* (/ (* (sqrt (+ 1 (* -3 (* v v)))) (sqrt 2)) 4) (* (/ (* (sqrt (+ 1 (* -3 (* v v)))) (sqrt 2)) 4) (* (- 1 (* v v)) (* (- 1 (* v v)) (- 1 (* v v))))))

series416.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* -3 (* v v))
51.0ms	(* -3 (* v v))
56.0ms	(* -3 (* v v))
259.0ms	(* (/ (* (sqrt (+ 1 (* -3 (* v v)))) (sqrt 2)) 4) (* (/ (* (sqrt (+ 1 (* -3 (* v v)))) (sqrt 2)) 4) (* (- 1 (* v v)) (* (- 1 (* v v)) (- 1 (* v v))))))

simplify2.2s

Counts

292 → 292

Iterations

Iter	Nodes
done	5000
1	1872
0	514

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize148.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* v v) (* v v))
0.1b	(* (* v v) (* v v))
0.1b	(* -3 (* v v))
0.1b	(* -3 (* v v))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

236×	`pow1`
72×	`pow-prod-up`
52×	`pow-prod-down`
44×	`pow-sqr`
38×	`add-cbrt-cube` `add-exp-log`
36×	`pow-plus`
26×	`pow2`
22×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `associate-l`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`swap-sqr`

Counts

4 → 168

Calls

4 calls:

26.0ms	(* (* v v) (* v v))
23.0ms	(* (* v v) (* v v))
17.0ms	(* -3 (* v v))
14.0ms	(* -3 (* v v))

series213.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* v v) (* v v))
57.0ms	(* (* v v) (* v v))
50.0ms	(* -3 (* v v))
56.0ms	(* -3 (* v v))

simplify3.1s

Counts

180 → 180

Iterations

Iter	Nodes
done	5000
3	3405
2	672
1	206
0	69

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
0.0b	(- 1 (* 3 (* v v)))
0.0b	(log (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))
0.1b	(* 3 (* v v))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-cbrt-cube` `add-exp-log`
16×	`frac-times`
15×	`pow1`
13×	`flip3--` `flip--`
12×	`sqrt-div`
9×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-l/` `prod-exp` `associate-*r/` `cbrt-unprod`
7×	`log-prod` `add-cube-cbrt` `add-log-exp`
6×	`associate-r` `pow-prod-down`
5×	`sub-neg`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `exp-sum` `insert-posit16`
3×	`log-pow`
2×	`*-commutative` `difference-of-squares`
1×	`cbrt-undiv` `exp-prod` `exp-to-pow` `diff-log` `div-exp` `rem-log-exp` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

57.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
5.0ms	(- 1 (* 3 (* v v)))
5.0ms	(log (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))
13.0ms	(* 3 (* v v))

series718.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
93.0ms	(- 1 (* 3 (* v v)))
315.0ms	(log (exp (* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))))
46.0ms	(* 3 (* v v))

simplify1.9s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	2528
1	681
0	225

prune643.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes172.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	50
1	50
0	34

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s	8112×	body	80	nan
1.2s	8000×	body	80	valid