Details

sample1.0s

Algorithm

intervals

Results

351.0ms	68×	body	2560	valid
281.0ms	127×	body	1280	valid
189.0ms	82×	body	640	valid
130.0ms	20×	body	5120	valid
36.0ms	32×	body	320	valid
21.0ms	54×	body	80	valid
5.0ms	7×	body	160	valid

simplify5.2s

Counts

1 → 1

Iterations

Iter	Nodes
4	7040
3	1010
2	176
1	49
0	19

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.7b

localize51.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (/ k t) (* (/ k t) (/ t l)))
3.5b	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
14.0b	(* (/ k t) (/ t l))
19.8b	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

rewrite449.0ms

Algorithm

rewrite-expression-head

Rules

810×	`add-cbrt-cube` `add-exp-log`
384×	`prod-exp` `cbrt-unprod`
305×	`cbrt-undiv` `div-exp`
67×	`associate-*l/`
59×	`times-frac`
57×	`frac-times`
41×	`add-sqr-sqrt`
40×	`associate-*r/`
32×	`pow1`
31×	`associate-/r/`
29×	`*-un-lft-identity` `add-cube-cbrt`
27×	`associate-l`
22×	`associate-/l*`
19×	`pow-prod-down`
15×	`associate-r`
6×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
1×	`clear-num` `associate-/r*` `frac-2neg` `tan-quot` `associate-/l/`

Counts

4 → 407

Calls

4 calls:

60.0ms	(* (/ k t) (* (/ k t) (/ t l)))
166.0ms	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
18.0ms	(* (/ k t) (/ t l))
176.0ms	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

series451.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (/ k t) (* (/ k t) (/ t l)))
332.0ms	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
17.0ms	(* (/ k t) (/ t l))
59.0ms	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

simplify1.1s

Counts

419 → 419

Iterations

Iter	Nodes
1	2078
0	612

prune6.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.6b

localize47.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (* (* (/ t l) (/ k t)) (/ t l)) t)
3.5b	(/ (/ -2 (* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))) (- (* (sin k) (tan k))))
14.0b	(* (/ t l) (/ k t))
15.0b	(* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

410×	`add-cbrt-cube` `add-exp-log`
213×	`associate-*l/`
197×	`prod-exp` `cbrt-unprod`
184×	`times-frac`
144×	`cbrt-undiv` `div-exp`
142×	`frac-times`
109×	`associate-*r/`
106×	`associate-/r/`
75×	`add-sqr-sqrt`
63×	`*-un-lft-identity` `add-cube-cbrt`
29×	`pow1`
27×	`associate-l`
23×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`
22×	`associate-/l*`
17×	`associate-r` `pow-prod-down`
11×	`div-inv`
6×	`associate-/r*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
1×	`clear-num` `frac-2neg` `tan-quot` `distribute-neg-frac` `associate-/l/`

Counts

4 → 419

Calls

4 calls:

117.0ms	(* (* (* (/ t l) (/ k t)) (/ t l)) t)
479.0ms	(/ (/ -2 (* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))) (- (* (sin k) (tan k))))
26.0ms	(* (/ t l) (/ k t))
543.0ms	(* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))

series429.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* (* (/ t l) (/ k t)) (/ t l)) t)
301.0ms	(/ (/ -2 (* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))) (- (* (sin k) (tan k))))
17.0ms	(* (/ t l) (/ k t))
58.0ms	(* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))

simplify1.1s

Counts

431 → 431

Iterations

Iter	Nodes
1	2303
0	735

prune6.5s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 4.2b

localize43.0ms

Local error

Found 4 expressions with local error:

3.5b	(/ (/ -2 (* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)) (- (* (sin k) (tan k))))
5.7b	(* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)
10.4b	(* (/ k t) (* (* (/ t l) (/ k t)) (/ t l)))
14.0b	(* (/ t l) (/ k t))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

466×	`add-cbrt-cube` `add-exp-log`
224×	`prod-exp` `cbrt-unprod`
220×	`associate-*l/`
184×	`times-frac`
164×	`cbrt-undiv` `div-exp`
154×	`frac-times`
119×	`associate-*r/`
106×	`associate-/r/`
75×	`add-sqr-sqrt`
63×	`*-un-lft-identity` `add-cube-cbrt`
29×	`pow1`
27×	`associate-l`
23×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`
22×	`associate-/l*`
17×	`associate-r` `pow-prod-down`
11×	`div-inv`
6×	`associate-/r*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
1×	`clear-num` `frac-2neg` `tan-quot` `distribute-neg-frac` `associate-/l/`

Counts

4 → 445

Calls

4 calls:

534.0ms	(/ (/ -2 (* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)) (- (* (sin k) (tan k))))
494.0ms	(* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)
105.0ms	(* (/ k t) (* (* (/ t l) (/ k t)) (/ t l)))
32.0ms	(* (/ t l) (/ k t))

series424.0ms

Counts

4 → 12

Calls

4 calls:

304.0ms	(/ (/ -2 (* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)) (- (* (sin k) (tan k))))
62.0ms	(* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)
46.0ms	(* (/ k t) (* (* (/ t l) (/ k t)) (/ t l)))
12.0ms	(* (/ t l) (/ k t))

simplify1.1s

Counts

457 → 457

Iterations

Iter	Nodes
1	2439
0	757

prune6.9s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 3.7b

localize70.0ms

Local error

Found 4 expressions with local error:

5.3b	(* (* t (/ k t)) (/ t l))
5.8b	(* (* (/ k t) (* (* t (/ k t)) (/ t l))) t)
7.4b	(* (/ k t) (* (* t (/ k t)) (/ t l)))
13.8b	(* t (/ k t))

rewrite375.0ms

Algorithm

rewrite-expression-head

Rules

176×	`add-cbrt-cube` `add-exp-log`
95×	`prod-exp` `cbrt-unprod`
40×	`cbrt-undiv` `div-exp`
34×	`pow1`
32×	`add-sqr-sqrt`
30×	`associate-r`
28×	`times-frac`
27×	`*-un-lft-identity` `add-cube-cbrt`
22×	`associate-*r/`
20×	`pow-prod-down`
18×	`associate-l`
14×	`associate-*l/`
11×	`frac-times`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`unswap-sqr`

Counts

4 → 196

Calls

4 calls:

24.0ms	(* (* t (/ k t)) (/ t l))
258.0ms	(* (* (/ k t) (* (* t (/ k t)) (/ t l))) t)
78.0ms	(* (/ k t) (* (* t (/ k t)) (/ t l)))
10.0ms	(* t (/ k t))

series84.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* t (/ k t)) (/ t l))
24.0ms	(* (* (/ k t) (* (* t (/ k t)) (/ t l))) t)
20.0ms	(* (/ k t) (* (* t (/ k t)) (/ t l)))
8.0ms	(* t (/ k t))

simplify1.5s

Counts

208 → 208

Iterations

Iter	Nodes
2	4144
1	827
0	254

prune2.8s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 1.0b

regimes768.0ms

Accuracy

34.1% (7.1b remaining)

Error of 8.7b against oracle of 1.6b and baseline of 12.4b

bsearch715.0ms

Steps

Iters	Range		Point
8	4.3980469764722795e+139	1.77772503571802e+142	1.7572156172981588e+142
9	-1.6913975791909337e+150	-1.2316788850225787e+144	-1.658703261686034e+150

simplify13.0ms

Iterations

Iter	Nodes
3	62
2	62
1	60
0	43

end0.0ms

sample39.9s

Algorithm

intervals

Results

13.0s	4130×	body	1280	valid
9.8s	2169×	body	2560	valid
8.8s	1001×	body	5120	valid
4.9s	2481×	body	640	valid
1.3s	958×	body	320	valid
796.0ms	418×	body	160	valid
790.0ms	2043×	body	80	valid