Details

sample76.0ms

Algorithm

intervals

Results

26.0ms	321×	body	80	nan
22.0ms	256×	body	80	valid

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	1173
10	1173
9	1166
8	1019
7	836
6	697
5	566
4	353
3	177
2	70
1	27
0	14

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite281.0ms

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:

10.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
157.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
79.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
23.0ms	(* 3.0 (* v v))

series1.1s

Counts

4 → 12

Calls

4 calls:

158.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
573.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
359.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
54.0ms	(* 3.0 (* v v))

simplify4.2s

Counts

140 → 140

Iterations

Iter	Nodes
done	5001
2	3334
1	844
0	278

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize49.0ms

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))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

31×	`associate-l`
29×	`add-sqr-sqrt`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`frac-times` `sqrt-div`
19×	`flip3--` `flip--`
18×	`times-frac`
17×	`pow1`
16×	`sqrt-prod`
14×	`associate-*r/`
10×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
7×	`pow-prod-down` `associate-*l/`
6×	`sub-neg` `associate-r`
4×	`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 → 135

Calls

4 calls:

14.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
123.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
61.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
34.0ms	(* 3.0 (* v v))

series1.2s

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
651.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
317.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
63.0ms	(* 3.0 (* v v))

simplify4.2s

Counts

147 → 147

Iterations

Iter	Nodes
done	5000
2	3472
1	911
0	298

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b	(sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

20×	`sqrt-prod`
18×	`pow1`
16×	`add-sqr-sqrt`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `sqrt-div`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`rem-sqrt-square` `pow1/2` `add-log-exp`
2×	`flip3--` `associate-r` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

14.0ms	(sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))
13.0ms	(sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))
36.0ms	(* 3.0 (* v v))
35.0ms	(* 3.0 (* v v))

series1.0s

Counts

4 → 12

Calls

4 calls:

479.0ms	(sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))
458.0ms	(sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))
52.0ms	(* 3.0 (* v v))
57.0ms	(* 3.0 (* v v))

simplify6.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	4889
2	1127
1	332
0	139

prune860.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.5s	8000×	body	80	valid
1.1s	7939×	body	80	nan