Details

sample71.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
21.0ms	243×	body	80	nan

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	70	19
3	193	19
4	431	19
5	850	19
6	1262	19
7	1608	19
8	1811	19
9	1817	19
done	1817	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))))
0.1b	(* 3.0 (* v v))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
26×	`associate-l`
24×	`add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log` `add-cbrt-cube`
22×	`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`
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:

115.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
19.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
46.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
33.0ms	(* 3.0 (* v v))

series833.0ms

Counts

4 → 12

Calls

4 calls:

406.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
116.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
258.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
52.0ms	(* 3.0 (* v v))

simplify636.0ms

Counts

154 → 154

Iterations

Useful iterations: done (629.0ms)

Iter	Nodes	Cost
0	301	3466
1	917	3190
done	5000	2976

prune669.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))
0.2b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* v v)))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
29×	`associate-l`
28×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
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×	`expm1-log1p-u` `frac-times` `flip3--` `associate-r/` `-commutative` `flip--` `log1p-expm1-u` `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 → 127

Calls

4 calls:

70.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
34.0ms	(* 3.0 (* v v))
34.0ms	(* 3.0 (* v v))
87.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* v v)))

series695.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
34.0ms	(* 3.0 (* v v))
37.0ms	(* 3.0 (* v v))
343.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* v v)))

simplify2.7s

Counts

139 → 139

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	237	2300
1	664	2116
2	3877	1961
done	5000	1953

prune567.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))
0.2b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* v v)))
3.8b	(log (exp (* 3.0 (* v v))))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
20×	`pow1`
11×	`prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt`
9×	`pow-prod-down`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
6×	`associate-*l/`
5×	`add-log-exp`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u`
3×	`log-prod` `log-pow` `*-commutative`
2×	`frac-times` `flip3--` `associate-*r/` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `distribute-lft-neg-in` `neg-mul-1` `exp-prod` `exp-to-pow` `distribute-rgt-neg-in` `div-exp` `rem-log-exp` `distribute-rgt-neg-out`

Counts

4 → 89

Calls

4 calls:

23.0ms	(* 3.0 (* v v))
25.0ms	(* 3.0 (* v v))
109.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* v v)))
9.0ms	(log (exp (* 3.0 (* v v))))

series417.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* 3.0 (* v v))
36.0ms	(* 3.0 (* v v))
309.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* v v)))
28.0ms	(log (exp (* 3.0 (* v v))))

simplify2.0s

Counts

101 → 101

Iterations

Useful iterations: 2 (474.0ms)

Iter	Nodes	Cost
0	174	1368
1	497	1218
2	3231	1093
done	5000	1093

prune475.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (* (* (/ (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)))))
0.1b	(* 3.0 (* v v))

rewrite398.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
25×	`associate-l`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`sqrt-prod`
18×	`pow1` `frac-times` `sqrt-div`
17×	`log-div` `exp-diff`
15×	`flip3--` `flip--`
14×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`associate-*l/`
7×	`associate-r` `pow-prod-down` `unswap-sqr`
6×	`exp-prod`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`log-pow`
2×	`*-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `log-prod` `sqrt-pow1` `pow1/2` `div-exp` `exp-sum` `div-inv` `rem-exp-log`

Counts

4 → 126

Calls

4 calls:

297.0ms	(exp (log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
8.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
61.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms	(* 3.0 (* v v))

series816.0ms

Counts

4 → 12

Calls

4 calls:

431.0ms	(exp (log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
84.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
255.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
45.0ms	(* 3.0 (* v v))

simplify2.5s

Counts

138 → 138

Iterations

Useful iterations: 2 (841.0ms)

Iter	Nodes	Cost
0	341	2972
1	913	2619
2	4659	2471
done	5000	2471

prune722.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify24.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	34
1	26	34
2	30	34
3	37	34
4	39	34
done	39	34

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	8000×	body	80	valid
742.0ms	7919×	body	80	nan