Details

sample1.2s

Algorithm

intervals

Results

379.0ms	145×	body	1280	valid
322.0ms	74×	body	2560	valid
243.0ms	35×	body	5120	valid
121.0ms	75×	body	640	valid
43.0ms	59×	body	80	valid
37.0ms	30×	body	320	valid
14.0ms	17×	body	160	valid

simplify2.7s

Counts: 1 → 1

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.5b

localize68.0ms

Local error

Found 4 expressions with local error:

26.3b	(* (/ t (/ l t)) (* (/ k t) (/ k t)))
7.2b	(/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))
2.1b	(/ (/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))) (sin k))
0.9b	(/ (/ (/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))) (sin k)) (tan k))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

3448×	`times-frac`
1229×	`add-sqr-sqrt`
1223×	`*-un-lft-identity` `add-cube-cbrt`
811×	`add-cbrt-cube` `add-exp-log`
502×	`cbrt-undiv` `div-exp`
241×	`associate-/l*`
189×	`prod-exp` `cbrt-unprod`
125×	`div-inv`
67×	`associate-/r/`
44×	`associate-l`
19×	`associate-/r*`
10×	`frac-times` `associate-*r/`
9×	`pow1` `associate-/l/`
6×	`associate-*l/`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `unswap-sqr`
1×	`associate-r` `tan-quot` `*-commutative`

Counts

4 → 1335

Calls

4 calls:

Slowest

80.0ms	(/ (/ (/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))) (sin k)) (tan k))
53.0ms	(/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))
43.0ms	(/ (/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))) (sin k))
33.0ms	(* (/ t (/ l t)) (* (/ k t) (/ k t)))

series796.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

380.0ms	(/ (/ (/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))) (sin k)) (tan k))
237.0ms	(/ (/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))) (sin k))
102.0ms	(/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))
76.0ms	(* (/ t (/ l t)) (* (/ k t) (/ k t)))

simplify4.3s

Counts: 1347 → 1347

prune21.7s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.4b

localize49.0ms

Local error

Found 4 expressions with local error:

9.3b	(/ (* k k) l)
7.2b	(/ (/ (* k k) l) (/ l t))
2.1b	(/ (/ 2 (/ (/ (* k k) l) (/ l t))) (sin k))
0.9b	(/ (/ (/ 2 (/ (/ (* k k) l) (/ l t))) (sin k)) (tan k))

rewrite547.0ms

Algorithm

rewrite-expression-head

Rules

21124×	`times-frac`
7644×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1184×	`associate-/l*`
1054×	`div-inv`
116×	`add-cbrt-cube` `add-exp-log`
80×	`cbrt-undiv` `div-exp`
66×	`associate-/r/`
22×	`associate-/r*`
7×	`prod-exp` `cbrt-unprod`
4×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
3×	`associate-/l/`
1×	`tan-quot`

Counts

4 → 4927

Calls

4 calls:

Slowest

55.0ms	(/ (/ (/ 2 (/ (/ (* k k) l) (/ l t))) (sin k)) (tan k))
41.0ms	(/ (/ 2 (/ (/ (* k k) l) (/ l t))) (sin k))
12.0ms	(/ (/ (* k k) l) (/ l t))
9.0ms	(/ (* k k) l)

series422.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

203.0ms	(/ (/ (/ 2 (/ (/ (* k k) l) (/ l t))) (sin k)) (tan k))
120.0ms	(/ (/ 2 (/ (/ (* k k) l) (/ l t))) (sin k))
64.0ms	(/ (/ (* k k) l) (/ l t))
34.0ms	(/ (* k k) l)

simplify21.9s

Counts: 4939 → 4939

prune1.3m

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

4.0b	(/ (/ k l) (/ 1 t))
0.9b	(/ (/ 2 (/ (/ k l) (/ 1 t))) (sin k))
0.9b	(/ 2 (/ (/ k l) (/ 1 t)))
0.9b	(/ (* (/ 1 (/ k l)) (/ (/ 2 (/ (/ k l) (/ 1 t))) (sin k))) (tan k))

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

11063×	`times-frac`
4533×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
620×	`add-exp-log`
544×	`associate-/l*`
476×	`div-exp`
468×	`div-inv`
202×	`add-cbrt-cube`
193×	`associate-/r*`
140×	`cbrt-undiv`
77×	`prod-exp`
42×	`rec-exp` `1-exp`
23×	`associate-/r/`
21×	`cbrt-unprod`
5×	`associate-/l/`
4×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`frac-times` `associate-l/` `tan-quot` `associate-r/`

Counts

4 → 3206

Calls

4 calls:

Slowest

84.0ms	(/ (* (/ 1 (/ k l)) (/ (/ 2 (/ (/ k l) (/ 1 t))) (sin k))) (tan k))
32.0ms	(/ (/ 2 (/ (/ k l) (/ 1 t))) (sin k))
21.0ms	(/ 2 (/ (/ k l) (/ 1 t)))
9.0ms	(/ (/ k l) (/ 1 t))

series395.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

207.0ms	(/ (* (/ 1 (/ k l)) (/ (/ 2 (/ (/ k l) (/ 1 t))) (sin k))) (tan k))
106.0ms	(/ (/ 2 (/ (/ k l) (/ 1 t))) (sin k))
41.0ms	(/ 2 (/ (/ k l) (/ 1 t)))
40.0ms	(/ (/ k l) (/ 1 t))

simplify17.1s

Counts: 3218 → 3218

prune49.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

4.0b	(/ (/ k l) (/ 1 t))
0.9b	(/ (/ 2 (/ (/ k l) (/ 1 t))) (sin k))
0.9b	(/ 2 (/ (/ k l) (/ 1 t)))
0.3b	(* (tan k) (/ k l))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

11070×	`times-frac`
4544×	`add-sqr-sqrt`
4539×	`*-un-lft-identity` `add-cube-cbrt`
543×	`associate-/l*`
468×	`div-inv`
190×	`associate-/r*`
106×	`add-exp-log`
77×	`div-exp`
64×	`add-cbrt-cube`
41×	`cbrt-undiv`
22×	`associate-/r/`
13×	`associate-r`
6×	`pow1` `rec-exp` `1-exp`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`prod-exp` `tan-quot` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 3119

Calls

4 calls:

Slowest

22.0ms	(/ (/ 2 (/ (/ k l) (/ 1 t))) (sin k))
18.0ms	(* (tan k) (/ k l))
10.0ms	(/ 2 (/ (/ k l) (/ 1 t)))
9.0ms	(/ (/ k l) (/ 1 t))

series279.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

121.0ms	(* (tan k) (/ k l))
100.0ms	(/ (/ 2 (/ (/ k l) (/ 1 t))) (sin k))
36.0ms	(/ 2 (/ (/ k l) (/ 1 t)))
22.0ms	(/ (/ k l) (/ 1 t))

simplify14.4s

Counts: 3131 → 3131

prune32.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch2.0ms

end0.0ms

sample25.7s

Algorithm

intervals

Results

8.0s	4112×	body	1280	valid
6.9s	2234×	body	2560	valid
5.1s	942×	body	5120	valid
3.7s	2437×	body	640	valid
876.0ms	1026×	body	320	valid
521.0ms	2018×	body	80	valid
253.0ms	428×	body	160	valid