Details

sample36.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
11.0ms	256×	body	80	nan

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	1510
11	1510
10	1509
9	1481
8	1145
7	954
6	803
5	646
4	396
3	189
2	70
1	27
0	14

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

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

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
26×	`associate-l`
24×	`*-un-lft-identity` `add-cube-cbrt`
23×	`add-cbrt-cube` `add-exp-log`
22×	`times-frac`
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`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `sub-neg` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 142

Calls

4 calls:

47.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
103.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
11.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
27.0ms	(* 3.0 (* v v))

series869.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
446.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
126.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
31.0ms	(* 3.0 (* v v))

simplify2.6s

Counts

154 → 154

Iterations

Iter	Nodes
done	5017
2	3597
1	917
0	301

prune884.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (sqrt 2.0) 4.0) (expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
0.0b	(expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v))))))
0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.2b	(* 3.0 (* v v))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-cbrt-cube` `add-exp-log`
15×	`pow1`
12×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`prod-exp` `cbrt-unprod`
6×	`prod-diff` `pow-prod-down`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`expm1-log1p-u` `associate-l` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `sqrt-prod` `flip--`
2×	`frac-times` `sub-neg` `sqrt-div` `associate-r/` `-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `expm1-log1p` `sqrt-pow1` `pow1/2` `div-exp` `expm1-udef` `difference-of-squares` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

62.0ms	(* (* (/ (sqrt 2.0) 4.0) (expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
0.0ms	(expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v))))))
6.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
14.0ms	(* 3.0 (* v v))

series1.1s

Counts

4 → 12

Calls

4 calls:

612.0ms	(* (* (/ (sqrt 2.0) 4.0) (expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
314.0ms	(expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v))))))
110.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
33.0ms	(* 3.0 (* v v))

simplify2.2s

Counts

99 → 99

Iterations

Iter	Nodes
done	5031
2	3022
1	805
0	275

prune589.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
29×	`associate-l`
28×	`*-un-lft-identity` `add-cube-cbrt`
25×	`distribute-rgt-in` `distribute-lft-in`
23×	`add-cbrt-cube` `add-exp-log`
20×	`frac-times` `sqrt-div`
19×	`flip3--` `flip--`
18×	`times-frac` `prod-diff`
17×	`pow1`
16×	`sqrt-prod`
14×	`associate-*r/`
10×	`prod-exp` `cbrt-unprod`
8×	`associate-r`
7×	`pow-prod-down` `associate-*l/`
6×	`sub-neg`
4×	`expm1-log1p-u` `log1p-expm1-u` `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 → 161

Calls

4 calls:

32.0ms	(* (sqrt (- 1.0 (* (* v v) 3.0))) (- 1.0 (* v v)))
61.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* (* v v) 3.0))) (- 1.0 (* v v))))
6.0ms	(sqrt (- 1.0 (* (* v v) 3.0)))
27.0ms	(* (* v v) 3.0)

series856.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (sqrt (- 1.0 (* (* v v) 3.0))) (- 1.0 (* v v)))
460.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* (* v v) 3.0))) (- 1.0 (* v v))))
121.0ms	(sqrt (- 1.0 (* (* v v) 3.0)))
46.0ms	(* (* v v) 3.0)

simplify2.4s

Counts

173 → 173

Iterations

Iter	Nodes
done	5001
2	3867
1	1040
0	338

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	8171×	body	80	nan
709.0ms	8000×	body	80	valid