Details

sample1.0s

Algorithm

intervals

Results

315.0ms	130×	body	1280	valid
263.0ms	70×	body	2560	valid
222.0ms	29×	body	5120	valid
102.0ms	70×	body	640	valid
34.0ms	35×	body	320	valid
25.0ms	64×	body	80	valid
9.0ms	13×	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: 20.0b

localize37.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (/ k t) (* (/ k t) (/ t l)))
4.0b	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
16.2b	(* (/ k t) (/ t l))
17.2b	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

rewrite375.0ms

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)))
165.0ms	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
26.0ms	(* (/ k t) (/ t l))
126.0ms	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

series441.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (/ k t) (* (/ k t) (/ t l)))
344.0ms	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
9.0ms	(* (/ k t) (/ t l))
46.0ms	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

simplify1.1s

Counts

419 → 419

Iterations

Iter	Nodes
1	2078
0	612

prune5.8s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.8b

localize47.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (* (/ t l) (/ k t)) (/ t l)) t)
4.0b	(/ (/ -2 (* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))) (- (* (sin k) (tan k))))
13.9b	(* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))
16.2b	(* (/ t l) (/ k t))

rewrite1.3s

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:

196.0ms	(* (* (* (/ t l) (/ k t)) (/ t l)) t)
554.0ms	(/ (/ -2 (* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))) (- (* (sin k) (tan k))))
527.0ms	(* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))
15.0ms	(* (/ t l) (/ k t))

series454.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (* (* (/ t l) (/ k t)) (/ t l)) t)
323.0ms	(/ (/ -2 (* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))) (- (* (sin k) (tan k))))
59.0ms	(* (/ k t) (* (* (* (/ t l) (/ k t)) (/ t l)) t))
10.0ms	(* (/ t l) (/ k t))

simplify1.1s

Counts

431 → 431

Iterations

Iter	Nodes
1	2305
0	735

prune6.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.3b

localize49.0ms

Local error

Found 4 expressions with local error:

4.0b	(/ (/ -2 (* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)) (- (* (sin k) (tan k))))
4.4b	(* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)
12.0b	(* (/ k t) (* (* (/ t l) (/ k t)) (/ t l)))
16.2b	(* (/ 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:

420.0ms	(/ (/ -2 (* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)) (- (* (sin k) (tan k))))
479.0ms	(* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)
122.0ms	(* (/ k t) (* (* (/ t l) (/ k t)) (/ t l)))
13.0ms	(* (/ t l) (/ k t))

series498.0ms

Counts

4 → 12

Calls

4 calls:

399.0ms	(/ (/ -2 (* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)) (- (* (sin k) (tan k))))
46.0ms	(* (* (/ k t) (* (* (/ t l) (/ k t)) (/ t l))) t)
42.0ms	(* (/ k t) (* (* (/ t l) (/ k t)) (/ t l)))
10.0ms	(* (/ t l) (/ k t))

simplify1.2s

Counts

457 → 457

Iterations

Iter	Nodes
1	2439
0	757

prune6.6s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 3.3b

localize66.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (/ k t) (* (* t (/ k t)) (/ t l))) t)
4.9b	(* (* t (/ k t)) (/ t l))
11.9b	(* (/ k t) (* (* t (/ k t)) (/ t l)))
12.5b	(* t (/ k t))

rewrite467.0ms

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:

344.0ms	(* (* (/ k t) (* (* t (/ k t)) (/ t l))) t)
26.0ms	(* (* t (/ k t)) (/ t l))
78.0ms	(* (/ k t) (* (* t (/ k t)) (/ t l)))
14.0ms	(* t (/ k t))

series95.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* (/ k t) (* (* t (/ k t)) (/ t l))) t)
23.0ms	(* (* t (/ k t)) (/ t l))
26.0ms	(* (/ k t) (* (* t (/ k t)) (/ t l)))
15.0ms	(* t (/ k t))

simplify1.7s

Counts

208 → 208

Iterations

Iter	Nodes
2	4104
1	814
0	254

prune2.8s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 1.7b

regimes709.0ms

Accuracy

25.5% (9.5b remaining)

Error of 11.6b against oracle of 2.1b and baseline of 14.8b

bsearch694.0ms

Steps

Iters	Range		Point
3	1.0881984572120712e+141	1.3316666959204995e+141	1.3164499310012228e+141
5	-4.2878918821084473e+127	-1.8772029928756938e+127	-3.2333473137924527e+127

simplify21.0ms

Iterations

Iter	Nodes
3	58
2	58
1	56
0	40

end0.0ms

sample41.1s

Algorithm

intervals

Results

12.8s	4074×	body	1280	valid
10.2s	2234×	body	2560	valid
8.1s	976×	body	5120	valid
6.5s	2567×	body	640	valid
1.8s	1014×	body	320	valid
781.0ms	1977×	body	80	valid
412.0ms	435×	body	160	valid