Details

sample367.0ms

Algorithm

intervals

Results

132.0ms	66×	body	1280	valid
96.0ms	195×	body	80	valid
72.0ms	51×	body	640	valid
30.0ms	30×	body	320	valid
13.0ms	17×	body	160	valid

simplify2.5s

Counts: 1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.7b

localize35.0ms

Local error

Found 4 expressions with local error:

15.1b	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t))))
2.5b	(/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t)))
1.7b	(/ (* (/ l t) (/ l t)) (* (sin k) t))
0.3b	(/ 2 (+ (* (/ k t) (/ k t)) 2))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

806×	`times-frac`
313×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
244×	`add-cbrt-cube` `add-exp-log`
142×	`cbrt-undiv` `div-exp`
93×	`div-inv`
62×	`associate-/r/`
52×	`prod-exp` `cbrt-unprod`
29×	`associate-/r*`
22×	`flip3-+` `flip-+` `associate-/l*`
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 → 521

Calls

4 calls:

Slowest

47.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t))))
28.0ms	(/ (* (/ l t) (/ l t)) (* (sin k) t))
26.0ms	(/ 2 (+ (* (/ k t) (/ k t)) 2))
24.0ms	(/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t)))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

831.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t))))
282.0ms	(/ (tan k) (/ (* (/ l t) (/ l t)) (* (sin k) t)))
110.0ms	(/ (* (/ l t) (/ l t)) (* (sin k) t))
80.0ms	(/ 2 (+ (* (/ k t) (/ k t)) 2))

simplify2.1s

Counts: 533 → 533

prune8.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 11.8b

localize43.0ms

Local error

Found 4 expressions with local error:

11.4b	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ (/ l t) t)))
6.6b	(* (/ (/ l t) (sin k)) (/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ (/ l t) t))))
5.0b	(/ (/ l t) (sin k))
3.8b	(/ (tan k) (/ (/ l t) t))

rewrite733.0ms

Algorithm

rewrite-expression-head

Rules

17211×	`times-frac`
6921×	`add-sqr-sqrt`
6768×	`*-un-lft-identity` `add-cube-cbrt`
2015×	`associate-r`
700×	`div-inv`
572×	`associate-/r/`
269×	`flip3-+` `flip-+`
203×	`add-cbrt-cube` `add-exp-log`
180×	`associate-/r*`
132×	`cbrt-undiv` `div-exp`
43×	`associate-l`
31×	`associate-/l*`
27×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l/`
1×	`frac-times` `pow-prod-down` `associate-l/` `tan-quot` `associate-r/` `*-commutative`

Counts

4 → 4605

Calls

4 calls:

Slowest

240.0ms	(* (/ (/ l t) (sin k)) (/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ (/ l t) t))))
73.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ (/ l t) t)))
20.0ms	(/ (tan k) (/ (/ l t) t))
16.0ms	(/ (/ l t) (sin k))

series972.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

361.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ (/ l t) t)))
296.0ms	(* (/ (/ l t) (sin k)) (/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ (/ l t) t))))
227.0ms	(/ (tan k) (/ (/ l t) t))
87.0ms	(/ (/ l t) (sin k))

simplify27.9s

Counts: 4617 → 4617

prune1.4m

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 11.7b

localize81.0ms

Local error

Found 4 expressions with local error:

6.8b	(* (/ l t) (/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ 1 t))))
6.6b	(* (/ (/ l t) (sin k)) (* (/ l t) (/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ 1 t)))))
5.0b	(/ (/ l t) (sin k))
3.2b	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ 1 t)))

rewrite383.0ms

Algorithm

rewrite-expression-head

Rules

4370×	`times-frac`
1882×	`add-sqr-sqrt`
1801×	`*-un-lft-identity`
1797×	`add-cube-cbrt`
666×	`associate-r`
605×	`add-exp-log`
383×	`add-cbrt-cube`
359×	`div-exp`
225×	`div-inv`
211×	`cbrt-undiv` `associate-/r/`
157×	`prod-exp`
101×	`cbrt-unprod`
89×	`flip3-+` `flip-+`
56×	`associate-l`
47×	`associate-/r*`
28×	`associate-/l*`
18×	`rec-exp` `1-exp` `unswap-sqr`
11×	`pow1`
6×	`frac-times` `associate-*r/`
4×	`pow-prod-down` `associate-*l/` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative` `associate-/l/`

Counts

4 → 1740

Calls

4 calls:

Slowest

112.0ms	(* (/ l t) (/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ 1 t))))
104.0ms	(* (/ (/ l t) (sin k)) (* (/ l t) (/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ 1 t)))))
64.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ 1 t)))
17.0ms	(/ (/ l t) (sin k))

series979.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

301.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ 1 t)))
294.0ms	(* (/ (/ l t) (sin k)) (* (/ l t) (/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ 1 t)))))
263.0ms	(* (/ l t) (/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (/ (tan k) (/ 1 t))))
119.0ms	(/ (/ l t) (sin k))

simplify7.6s

Counts: 1752 → 1752

prune30.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 11.7b

localize91.0ms

Local error

Found 4 expressions with local error:

10.3b	(sqrt (+ 2 (* (/ k t) (/ k t))))
10.3b	(sqrt (+ (* (/ k t) (/ k t)) 2))
9.1b	(/ (/ (cbrt 2) (sqrt (+ (* (/ k t) (/ k t)) 2))) (/ (cbrt (tan k)) (/ (cbrt 1) t)))
6.8b	(* (/ l t) (/ (* (cbrt 2) (cbrt 2)) (sqrt (+ 2 (* (/ k t) (/ k t))))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

21064×	`times-frac`
8772×	`add-sqr-sqrt`
8755×	`*-un-lft-identity` `add-cube-cbrt`
7644×	`cbrt-prod`
2495×	`sqrt-prod`
442×	`div-inv`
322×	`associate-/r/`
282×	`sqrt-div`
141×	`flip3-+` `flip-+`
137×	`associate-/r*`
46×	`add-exp-log`
42×	`associate-/l*`
33×	`add-cbrt-cube`
22×	`cbrt-undiv` `div-exp`
13×	`associate-l`
12×	`associate-r`
8×	`pow1` `prod-exp` `cbrt-unprod`
6×	`unswap-sqr`
4×	`insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 6046

Calls

4 calls:

Slowest

49.0ms	(/ (/ (cbrt 2) (sqrt (+ (* (/ k t) (/ k t)) 2))) (/ (cbrt (tan k)) (/ (cbrt 1) t)))
45.0ms	(* (/ l t) (/ (* (cbrt 2) (cbrt 2)) (sqrt (+ 2 (* (/ k t) (/ k t))))))
13.0ms	(sqrt (+ (* (/ k t) (/ k t)) 2))
3.0ms	(sqrt (+ 2 (* (/ k t) (/ k t))))

series743.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

393.0ms	(/ (/ (cbrt 2) (sqrt (+ (* (/ k t) (/ k t)) 2))) (/ (cbrt (tan k)) (/ (cbrt 1) t)))
227.0ms	(* (/ l t) (/ (* (cbrt 2) (cbrt 2)) (sqrt (+ 2 (* (/ k t) (/ k t))))))
71.0ms	(sqrt (+ (* (/ k t) (/ k t)) 2))
52.0ms	(sqrt (+ 2 (* (/ k t) (/ k t))))

simplify43.1s

Counts: 6058 → 6058

prune2.0m

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 11.7b

regimes461.0ms

Accuracy

0% (0.8b remaining)

Error of 11.4b against oracle of 10.6b and baseline of 11.4b

bsearch8.0ms

end0.0ms

sample10.8s

Algorithm

intervals

Results

4.9s	2098×	body	1280	valid
2.2s	1665×	body	640	valid
2.1s	5984×	body	80	valid
892.0ms	862×	body	320	valid
272.0ms	465×	body	160	valid