Details

sample72.0ms

Algorithm

intervals

Results

30.0ms	281×	body	80	nan
18.0ms	256×	body	80	valid

simplify2.5s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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

rewrite128.0ms

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:

58.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
5.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
45.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
15.0ms	(* 3.0 (* v v))

series872.0ms

Counts

4 → 12

Calls

4 calls:

459.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
123.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
250.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
40.0ms	(* 3.0 (* v v))

simplify2.0s

Counts

140 → 140

Iterations

Iter	Nodes
done	5013
2	3350
1	845
0	278

prune781.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
29×	`associate-l`
28×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
21×	`pow1`
17×	`sqrt-prod`
14×	`associate-r`
13×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
8×	`sqrt-div` `unswap-sqr`
7×	`associate-*l/`
4×	`frac-times` `flip3--` `associate-r/` `-commutative` `flip--` `add-log-exp`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out` `div-inv`

Counts

4 → 119

Calls

4 calls:

29.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms	(* 3.0 (* v v))
26.0ms	(* 3.0 (* v v))
69.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* v v)))

series586.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
29.0ms	(* 3.0 (* v v))
42.0ms	(* 3.0 (* v v))
269.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* v v)))

simplify1.7s

Counts

131 → 131

Iterations

Iter	Nodes
done	5009
2	2528
1	643
0	231

prune832.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite539.0ms

Algorithm

rewrite-expression-head

Rules

100×	`frac-times`
52×	`sqrt-div`
50×	`associate-*l/`
44×	`flip3--` `flip--`
43×	`add-sqr-sqrt`
37×	`add-cbrt-cube` `add-exp-log`
36×	`associate-*r/`
27×	`associate-l`
26×	`*-un-lft-identity`
25×	`pow1`
24×	`flip3-+` `flip-+`
22×	`times-frac` `add-cube-cbrt`
19×	`prod-exp` `cbrt-unprod`
18×	`sqrt-prod`
17×	`associate-r`
13×	`pow-prod-down`
7×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
3×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp`
2×	`sub-neg` `difference-of-squares`
1×	`div-inv` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 194

Calls

4 calls:

338.0ms	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
46.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
116.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
26.0ms	(* 3.0 (* v v))

series1.2s

Counts

4 → 12

Calls

4 calls:

614.0ms	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
276.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
266.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
55.0ms	(* 3.0 (* v v))

simplify2.2s

Counts

206 → 206

Iterations

Iter	Nodes
done	5000
1	1486
0	410

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	8005×	body	80	nan
834.0ms	8000×	body	80	valid