Details

sample1.3s

Algorithm

intervals

Results

335.0ms	31×	body	5120	valid
324.0ms	117×	body	1280	valid
295.0ms	64×	body	2560	valid
215.0ms	95×	body	640	valid
63.0ms	67×	body	80	valid
40.0ms	34×	body	320	valid
12.0ms	14×	body	160	valid

simplify5.2s

Counts

1 → 1

Iterations

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

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.4b

localize75.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (/ k t) (* (/ k t) (/ t l)))
4.8b	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
14.5b	(* (/ k t) (/ t l))
18.0b	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

rewrite351.0ms

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:

29.0ms	(* (/ k t) (* (/ k t) (/ t l)))
174.0ms	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
13.0ms	(* (/ k t) (/ t l))
113.0ms	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

series456.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (/ k t) (* (/ k t) (/ t l)))
346.0ms	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
15.0ms	(* (/ k t) (/ t l))
49.0ms	(* (* (/ 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: 7.8b

localize38.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* (* (/ t l) (/ k t)) (/ t l)) t)
4.8b	(/ (/ -2 (* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))) (- (* (sin k) (tan k))))
14.3b	(* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))
14.5b	(* (/ t l) (/ k t))

rewrite1.1s

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:

119.0ms	(* (* (* (/ t l) (/ k t)) (/ t l)) t)
501.0ms	(/ (/ -2 (* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))) (- (* (sin k) (tan k))))
462.0ms	(* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))
13.0ms	(* (/ t l) (/ k t))

series464.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* (* (/ t l) (/ k t)) (/ t l)) t)
339.0ms	(/ (/ -2 (* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))) (- (* (sin k) (tan k))))
43.0ms	(* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))
17.0ms	(* (/ t l) (/ k t))

simplify1.2s

Counts

431 → 431

Iterations

Iter	Nodes
1	2305
0	735

prune6.0s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.8b

localize50.0ms

Local error

Found 4 expressions with local error:

4.6b	(* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)
4.8b	(/ (/ -2 (* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)) (- (* (sin k) (tan k))))
12.3b	(* (/ k t) (* (* (/ t l) (/ k t)) (/ t l)))
14.5b	(* (/ 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:

498.0ms	(* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)
516.0ms	(/ (/ -2 (* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)) (- (* (sin k) (tan k))))
139.0ms	(* (/ k t) (* (* (/ t l) (/ k t)) (/ t l)))
26.0ms	(* (/ t l) (/ k t))

series444.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)
333.0ms	(/ (/ -2 (* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)) (- (* (sin k) (tan k))))
34.0ms	(* (/ k t) (* (* (/ t l) (/ k t)) (/ t l)))
10.0ms	(* (/ t l) (/ k t))

simplify1.2s

Counts

457 → 457

Iterations

Iter	Nodes
1	2420
0	757

prune6.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.9b

localize54.0ms

Local error

Found 4 expressions with local error:

3.9b	(* (* (/ k t) (* (* t (/ k t)) (/ t l))) t)
5.9b	(* (* t (/ k t)) (/ t l))
9.1b	(* (/ k t) (* (* t (/ k t)) (/ t l)))
12.7b	(* t (/ k t))

rewrite449.0ms

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:

320.0ms	(* (* (/ k t) (* (* t (/ k t)) (/ t l))) t)
25.0ms	(* (* t (/ k t)) (/ t l))
92.0ms	(* (/ k t) (* (* t (/ k t)) (/ t l)))
9.0ms	(* t (/ k t))

series97.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* (/ k t) (* (* t (/ k t)) (/ t l))) t)
28.0ms	(* (* t (/ k t)) (/ t l))
37.0ms	(* (/ k t) (* (* t (/ k t)) (/ t l)))
12.0ms	(* t (/ k t))

simplify1.9s

Counts

208 → 208

Iterations

Iter	Nodes
2	4104
1	814
0	254

prune2.8s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 1.1b

regimes707.0ms

Accuracy

35.1% (6.6b remaining)

Error of 8.5b against oracle of 1.9b and baseline of 12.1b

bsearch878.0ms

Steps

Iters	Range		Point
9	3.671659505845764e+145	4.2197978946307095e+151	4.168290049334843e+151
8	-2.4219351349030716e+148	-8.520518157620924e+145	-2.3605873137923636e+148

simplify13.0ms

Iterations

Iter	Nodes
3	49
2	49
1	47
0	31

end0.0ms

sample39.6s

Algorithm

intervals

Results

12.1s	4024×	body	1280	valid
10.3s	2227×	body	2560	valid
8.8s	962×	body	5120	valid
5.4s	2594×	body	640	valid
1.3s	1031×	body	320	valid
875.0ms	2076×	body	80	valid
350.0ms	449×	body	160	valid