Details

sample86.0ms

Algorithm

intervals

Results

36.0ms	218×	body	80	nan
25.0ms	256×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	70	19
3	180	19
4	356	19
5	657	19
6	935	19
7	1052	19
8	1133	19
done	1133	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
26×	`associate-l`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity` `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`
4×	`add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `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))))
83.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
45.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
19.0ms	(* 3.0 (* v v))

series909.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(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)))
323.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
38.0ms	(* 3.0 (* v v))

simplify1.8s

Counts

140 → 140

Iterations

Useful iterations: 2 (598.0ms)

Iter	Nodes	Cost
0	278	3102
1	796	2836
2	2958	2648
done	5000	2648

prune557.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (* 3.0 (* v v)) 3)
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`associate-l`
8×	`add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow-unpow` `pow-pow` `associate-r` `pow-exp` `*-commutative` `rem-cube-cbrt` `unswap-sqr`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

24.0ms	(pow (* 3.0 (* v v)) 3)
18.0ms	(* 3.0 (* v v))
18.0ms	(* 3.0 (* v v))
25.0ms	(* 3.0 (* v v))

series201.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(pow (* 3.0 (* v v)) 3)
43.0ms	(* 3.0 (* v v))
39.0ms	(* 3.0 (* v v))
53.0ms	(* 3.0 (* v v))

simplify5.3s

Counts

94 → 94

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	62	707
1	137	572
2	518	554
3	4111	554
done	5000	554

prune486.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite531.0ms

Algorithm

rewrite-expression-head

Rules

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

39.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
104.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
349.0ms	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
27.0ms	(* 3.0 (* v v))

series1.2s

Counts

4 → 12

Calls

4 calls:

349.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
259.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
563.0ms	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
34.0ms	(* 3.0 (* v v))

simplify857.0ms

Counts

206 → 206

Iterations

Useful iterations: done (844.0ms)

Iter	Nodes	Cost
0	408	6480
1	1405	5583
done	5000	5284

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	42
1	29	42
done	29	42

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	8000×	body	80	valid
905.0ms	8055×	body	80	nan