Details

sample1.1s

Algorithm

intervals

Results

364.0ms	138×	body	1280	valid
293.0ms	72×	body	2560	valid
229.0ms	38×	body	5120	valid
144.0ms	73×	body	640	valid
23.0ms	25×	body	320	valid
21.0ms	62×	body	80	valid
9.0ms	13×	body	160	valid

simplify3.8s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.9b

localize54.0ms

Local error

Found 4 expressions with local error:

2.5b	(* (/ k t) (* (/ k t) (/ t l)))
3.7b	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
16.6b	(* (/ k t) (/ t l))
20.4b	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

rewrite332.0ms

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:

44.0ms	(* (/ k t) (* (/ k t) (/ t l)))
149.0ms	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
13.0ms	(* (/ k t) (/ t l))
110.0ms	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

series379.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (/ k t) (* (/ k t) (/ t l)))
284.0ms	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
9.0ms	(* (/ k t) (/ t l))
58.0ms	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

simplify854.0ms

Counts

419 → 419

Iterations

Iter	Nodes
1	2078
0	612

prune3.8s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.6b

localize54.0ms

Local error

Found 4 expressions with local error:

3.2b	(* (* (* (/ t l) (/ k t)) (/ t l)) t)
3.7b	(/ (/ -2 (* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))) (- (* (sin k) (tan k))))
15.6b	(* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))
16.6b	(* (/ t l) (/ k t))

rewrite986.0ms

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:

131.0ms	(* (* (* (/ t l) (/ k t)) (/ t l)) t)
447.0ms	(/ (/ -2 (* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))) (- (* (sin k) (tan k))))
375.0ms	(* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))
22.0ms	(* (/ t l) (/ k t))

series388.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (* (/ t l) (/ k t)) (/ t l)) t)
289.0ms	(/ (/ -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))
10.0ms	(* (/ t l) (/ k t))

simplify1.0s

Counts

431 → 431

Iterations

Iter	Nodes
1	2305
0	735

prune5.4s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.8b

localize46.0ms

Local error

Found 4 expressions with local error:

3.7b	(/ (/ -2 (* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)) (- (* (sin k) (tan k))))
5.2b	(* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)
11.8b	(* (/ k t) (* (* (/ t l) (/ k t)) (/ t l)))
16.6b	(* (/ t l) (/ k t))

rewrite1.0s

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:

435.0ms	(/ (/ -2 (* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)) (- (* (sin k) (tan k))))
432.0ms	(* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)
112.0ms	(* (/ k t) (* (* (/ t l) (/ k t)) (/ t l)))
25.0ms	(* (/ t l) (/ k t))

series405.0ms

Counts

4 → 12

Calls

4 calls:

310.0ms	(/ (/ -2 (* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)) (- (* (sin k) (tan k))))
44.0ms	(* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)
36.0ms	(* (/ k t) (* (* (/ t l) (/ k t)) (/ t l)))
15.0ms	(* (/ t l) (/ k t))

simplify1.2s

Counts

457 → 457

Iterations

Iter	Nodes
1	2439
0	757

prune5.3s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.6b

localize78.0ms

Local error

Found 4 expressions with local error:

5.0b	(* (* (/ k t) (* (* t (/ k t)) (/ t l))) t)
7.3b	(* (* t (/ k t)) (/ t l))
11.0b	(* (/ k t) (* (* t (/ k t)) (/ t l)))
17.1b	(* t (/ k t))

rewrite572.0ms

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:

360.0ms	(* (* (/ k t) (* (* t (/ k t)) (/ t l))) t)
48.0ms	(* (* t (/ k t)) (/ t l))
138.0ms	(* (/ k t) (* (* t (/ k t)) (/ t l)))
19.0ms	(* t (/ k t))

series99.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* (/ k t) (* (* t (/ k t)) (/ t l))) t)
29.0ms	(* (* t (/ k t)) (/ t l))
25.0ms	(* (/ k t) (* (* t (/ k t)) (/ t l)))
12.0ms	(* t (/ k t))

simplify1.4s

Counts

208 → 208

Iterations

Iter	Nodes
2	4104
1	814
0	254

prune2.3s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.1b

regimes848.0ms

Accuracy

38.9% (7.7b remaining)

Error of 8.3b against oracle of 0.6b and baseline of 13.2b

bsearch5.7s

Steps

Iters	Range		Point
8	1.2234617822118437e+154	1.370533576943268e+157	1.345868103112779e+154
10	9.548168452820551e-126	1.7440818252589838e-114	9.656245993958174e-126
11	-1.153748007857917e-150	-2.651839798771005e-184	-1.032730037883888e-155
6	-3.1052449549440762e+165	-3.317280593596939e+164	-3.375675962257107e+164
9	-2.3708219427071944e+231	-1.4553981297797342e+225	-2.3396485923337978e+231
7	-2.1188631298695133e+249	-3.8509570454353717e+247	-4.041273932463307e+247

simplify25.0ms

Iterations

Iter	Nodes
3	100
2	100
1	98
0	73

end0.0ms

sample40.1s

Algorithm

intervals

Results

12.4s	4119×	body	1280	valid
9.9s	2208×	body	2560	valid
8.8s	962×	body	5120	valid
5.8s	2433×	body	640	valid
1.3s	978×	body	320	valid
930.0ms	2077×	body	80	valid
448.0ms	455×	body	160	valid