Details

sample357.0ms

Algorithm

intervals

Results

126.0ms	66×	body	1280	valid
102.0ms	168×	body	80	valid
78.0ms	56×	body	640	valid
22.0ms	23×	body	320	valid
10.0ms	15×	body	160	valid

simplify238.0ms

Counts: 1 → 1

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.9b

localize34.0ms

Local error

Found 4 expressions with local error:

13.7b	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t)))))
11.1b	(* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t))))
1.0b	(/ t (* (/ l t) (/ l t)))
0.5b	(/ 2 (+ (* (/ k t) (/ k t)) 2))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

233×	`add-cbrt-cube` `add-exp-log`
103×	`cbrt-undiv` `div-exp`
82×	`prod-exp` `cbrt-unprod`
48×	`times-frac`
30×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
21×	`associate-/l*`
15×	`associate-/r/`
10×	`associate-r`
9×	`pow1`
8×	`associate-*r/`
6×	`div-inv`
5×	`associate-/r*`
4×	`frac-times` `associate-*l/` `tan-quot` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `flip-+`
1×	`associate-l` `*-commutative` `associate-/l/`

Counts

4 → 208

Calls

4 calls:

Slowest

79.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t)))))
42.0ms	(* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t))))
15.0ms	(/ 2 (+ (* (/ k t) (/ k t)) 2))
9.0ms	(/ t (* (/ l t) (/ l t)))

series1.5s

Counts

4 → 12

Calls

4 calls:

Slowest

1.2s	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t)))))
212.0ms	(* (* (sin k) (tan k)) (/ t (* (/ l t) (/ l t))))
69.0ms	(/ 2 (+ (* (/ k t) (/ k t)) 2))
47.0ms	(/ t (* (/ l t) (/ l t)))

simplify555.0ms

Counts: 250 → 220

prune3.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 17.9b

localize74.0ms

Local error

Found 4 expressions with local error:

13.7b	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (sin k) (* (tan k) (/ t (* (/ l t) (/ l t))))))
4.6b	(* (tan k) (/ t (* (/ l t) (/ l t))))
3.2b	(* (sin k) (* (tan k) (/ t (* (/ l t) (/ l t)))))
1.0b	(/ t (* (/ l t) (/ l t)))

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

172×	`add-cbrt-cube` `add-exp-log`
69×	`cbrt-undiv` `div-exp`
65×	`prod-exp` `cbrt-unprod`
40×	`times-frac`
28×	`add-sqr-sqrt`
24×	`*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/l*`
13×	`associate-/r/`
11×	`pow1` `associate-r` `associate-*r/`
6×	`associate-l` `tan-quot`
5×	`frac-times` `associate-*l/` `div-inv`
4×	`pow-prod-down` `insert-posit16` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `flip3-+` `-commutative` `flip-+` `unswap-sqr`
1×	`associate-/l/`

Counts

4 → 181

Calls

4 calls:

Slowest

126.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (sin k) (* (tan k) (/ t (* (/ l t) (/ l t))))))
105.0ms	(* (sin k) (* (tan k) (/ t (* (/ l t) (/ l t)))))
36.0ms	(* (tan k) (/ t (* (/ l t) (/ l t))))
20.0ms	(/ t (* (/ l t) (/ l t)))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

941.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (sin k) (* (tan k) (/ t (* (/ l t) (/ l t))))))
270.0ms	(* (sin k) (* (tan k) (/ t (* (/ l t) (/ l t)))))
182.0ms	(* (tan k) (/ t (* (/ l t) (/ l t))))
53.0ms	(/ t (* (/ l t) (/ l t)))

simplify559.0ms

Counts: 214 → 193

prune2.9s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 13.8b

localize56.0ms

Local error

Found 4 expressions with local error:

13.7b	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (sin k) (* (* (tan k) (/ 1 (/ l t))) (/ t (/ l t)))))
3.3b	(* (tan k) (/ 1 (/ l t)))
3.2b	(* (sin k) (* (* (tan k) (/ 1 (/ l t))) (/ t (/ l t))))
1.5b	(* (* (tan k) (/ 1 (/ l t))) (/ t (/ l t)))

rewrite446.0ms

Algorithm

rewrite-expression-head

Rules

613×	`add-exp-log`
315×	`add-cbrt-cube`
265×	`div-exp`
262×	`prod-exp`
171×	`times-frac`
129×	`cbrt-undiv`
126×	`cbrt-unprod`
104×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
89×	`associate-r`
28×	`associate-*r/`
26×	`rec-exp` `1-exp`
20×	`pow1`
19×	`frac-times` `associate-*l/`
15×	`associate-/r/` `associate-/l*`
14×	`tan-quot`
11×	`div-inv`
10×	`pow-prod-down`
7×	`associate-l` `un-div-inv`
5×	`unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+`
1×	`clear-num` `associate-/r*` `frac-2neg` `associate-/l/`

Counts

4 → 372

Calls

4 calls:

Slowest

212.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (sin k) (* (* (tan k) (/ 1 (/ l t))) (/ t (/ l t)))))
137.0ms	(* (sin k) (* (* (tan k) (/ 1 (/ l t))) (/ t (/ l t))))
62.0ms	(* (* (tan k) (/ 1 (/ l t))) (/ t (/ l t)))
16.0ms	(* (tan k) (/ 1 (/ l t)))

series1.8s

Counts

4 → 12

Calls

4 calls:

Slowest

923.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (sin k) (* (* (tan k) (/ 1 (/ l t))) (/ t (/ l t)))))
340.0ms	(* (sin k) (* (* (tan k) (/ 1 (/ l t))) (/ t (/ l t))))
327.0ms	(* (* (tan k) (/ 1 (/ l t))) (/ t (/ l t)))
180.0ms	(* (tan k) (/ 1 (/ l t)))

simplify1.6s

Counts: 406 → 384

prune5.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 11.3b

localize89.0ms

Local error

Found 4 expressions with local error:

11.6b	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (sin k) (* (* (sin k) (/ 1 (/ l t))) t)))
7.2b	(* (/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (sin k) (* (* (sin k) (/ 1 (/ l t))) t))) (* (cos k) (/ l t)))
3.3b	(* (sin k) (/ 1 (/ l t)))
3.2b	(* (sin k) (* (* (sin k) (/ 1 (/ l t))) t))

rewrite920.0ms

Algorithm

rewrite-expression-head

Rules

622×	`add-exp-log`
354×	`add-cbrt-cube`
328×	`prod-exp`
211×	`div-exp`
176×	`cbrt-unprod`
129×	`times-frac`
115×	`cbrt-undiv`
77×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
63×	`add-cube-cbrt`
46×	`associate-r`
27×	`associate-l`
20×	`pow1` `rec-exp` `1-exp`
15×	`associate-/l*`
13×	`associate-*r/`
11×	`associate-/r/`
10×	`pow-prod-down`
9×	`div-inv`
7×	`associate-*l/`
5×	`unswap-sqr`
4×	`un-div-inv` `insert-posit16` `add-log-exp`
3×	`flip3-+` `*-commutative` `flip-+`
1×	`frac-times` `clear-num` `associate-/r*` `frac-2neg` `associate-/l/`

Counts

4 → 321

Calls

4 calls:

Slowest

518.0ms	(* (/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (sin k) (* (* (sin k) (/ 1 (/ l t))) t))) (* (cos k) (/ l t)))
215.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (sin k) (* (* (sin k) (/ 1 (/ l t))) t)))
159.0ms	(* (sin k) (* (* (sin k) (/ 1 (/ l t))) t))
16.0ms	(* (sin k) (/ 1 (/ l t)))

series1.5s

Counts

4 → 12

Calls

4 calls:

Slowest

875.0ms	(* (/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (sin k) (* (* (sin k) (/ 1 (/ l t))) t))) (* (cos k) (/ l t)))
274.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (sin k) (* (* (sin k) (/ 1 (/ l t))) t)))
205.0ms	(* (sin k) (* (* (sin k) (/ 1 (/ l t))) t))
97.0ms	(* (sin k) (/ 1 (/ l t)))

simplify1.1s

Counts: 351 → 333

prune5.7s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 11.2b

regimes347.0ms

Accuracy

0% (2.7b remaining)

Error of 13.8b against oracle of 11.1b and baseline of 13.8b

bsearch8.0ms

end0.0ms

sample15.1s

Algorithm

intervals

Results

6.5s	2171×	body	1280	valid
3.8s	1708×	body	640	valid
2.4s	5806×	body	80	valid
1.5s	830×	body	320	valid
385.0ms	426×	body	160	valid