Details

sample72.0ms

Algorithm

intervals

Results

27.0ms	283×	body	80	valid
26.0ms	282×	body	80	nan

simplify27.0ms

Calls

1 calls:

Slowest

26.0ms

(* c0 (sqrt (/ A (* V l))))

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize21.0ms

Local error

Found 3 expressions with local error:

15.6b	(sqrt (/ A (* V l)))
4.7b	(/ A (* V l))
0.4b	(* c0 (sqrt (/ A (* V l))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

123×	`add-sqr-sqrt`
112×	`times-frac`
83×	`sqrt-prod`
82×	`*-un-lft-identity` `add-cube-cbrt`
79×	`associate-r`
39×	`associate-l`
36×	`associate-/r*` `sqrt-div`
18×	`associate-*r/` `unswap-sqr`
13×	`*-commutative`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
6×	`pow1`
3×	`rem-sqrt-square` `clear-num` `frac-2neg` `insert-posit16` `div-inv` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`sqrt-pow1` `pow1/2` `pow-prod-down`

Calls

3 calls:

Slowest

35.0ms	(* c0 (sqrt (/ A (* V l))))
12.0ms	(sqrt (/ A (* V l)))
8.0ms	(/ A (* V l))

series125.0ms

Calls

3 calls:

Slowest

52.0ms	(sqrt (/ A (* V l)))
51.0ms	(* c0 (sqrt (/ A (* V l))))
22.0ms	(/ A (* V l))

simplify4.3s

Calls

232 calls:

Slowest

407.0ms	(sqrt (/ (* (cbrt A) (cbrt A)) (* (cbrt (* V l)) (cbrt (* V l)))))
209.0ms	(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
158.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
147.0ms	(sqrt (/ (* (cbrt A) (cbrt A)) (* V (* (cbrt l) (cbrt l)))))
139.0ms	(/ (* (cbrt A) (cbrt A)) (* V (* (cbrt l) (cbrt l))))

prune2.3s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.4b

localize40.0ms

Local error

Found 4 expressions with local error:

4.9b	(sqrt (/ (cbrt A) (* (cbrt V) l)))
2.5b	(/ (cbrt A) (* (cbrt V) l))
0.6b	(cbrt V)
0.6b	(cbrt V)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

204×	`add-sqr-sqrt`
198×	`times-frac`
169×	`cbrt-prod`
131×	`*-un-lft-identity` `add-cube-cbrt`
100×	`sqrt-prod`
84×	`associate-l`
42×	`associate-r`
32×	`associate-/r*` `unswap-sqr`
25×	`sqrt-div`
15×	`add-cbrt-cube`
14×	`*-commutative`
12×	`associate-/l*`
9×	`add-exp-log`
7×	`rem-sqrt-square`
6×	`cbrt-undiv`
5×	`pow1`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow1/3` `div-exp` `div-inv`
1×	`sqrt-pow1` `pow1/2` `prod-exp`

Calls

4 calls:

Slowest

15.0ms	(/ (cbrt A) (* (cbrt V) l))
12.0ms	(sqrt (/ (cbrt A) (* (cbrt V) l)))
1.0ms	(cbrt V)
1.0ms	(cbrt V)

series966.0ms

Calls

4 calls:

Slowest

298.0ms	(cbrt V)
288.0ms	(cbrt V)
231.0ms	(sqrt (/ (cbrt A) (* (cbrt V) l)))
148.0ms	(/ (cbrt A) (* (cbrt V) l))

simplify9.2s

Calls

370 calls:

Slowest

293.0ms	(/ A (* (* (* (cbrt V) (cbrt V)) (cbrt V)) (* (* l l) l)))
281.0ms	(/ (exp (* 1/3 (- (log (/ -1 V)) (log (/ -1 A))))) l)
251.0ms	(/ (exp (* 1/3 (- (log A) (log V)))) l)
250.0ms	(/ A (* (* (* (cbrt V) l) (* (cbrt V) l)) (* (cbrt V) l)))
197.0ms	(/ (exp (* 1/3 (- (log (/ 1 V)) (log (/ 1 A))))) l)

prune4.7s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.3b

localize70.0ms

Local error

Found 4 expressions with local error:

4.9b	(sqrt (* (* (/ (cbrt (cbrt A)) (cbrt V)) (cbrt (cbrt A))) (/ (cbrt (cbrt A)) l)))
0.6b	(cbrt V)
0.6b	(cbrt V)
0.6b	(cbrt A)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

1081×	`add-sqr-sqrt`
1053×	`cbrt-prod`
375×	`times-frac`
365×	`unswap-sqr`
316×	`associate-/l*`
306×	`associate-*l/`
305×	`sqrt-div`
270×	`frac-times`
225×	`*-un-lft-identity`
224×	`add-cube-cbrt`
217×	`sqrt-prod`
153×	`associate-/r*`
151×	`associate-l`
89×	`rem-sqrt-square`
40×	`associate-r`
36×	`clear-num`
35×	`frac-2neg`
15×	`associate-*r/`
10×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`sqrt-pow1` `pow1/3` `pow-prod-down`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`pow1/2`

Calls

4 calls:

Slowest

105.0ms	(sqrt (* (* (/ (cbrt (cbrt A)) (cbrt V)) (cbrt (cbrt A))) (/ (cbrt (cbrt A)) l)))
1.0ms	(cbrt V)
1.0ms	(cbrt A)
1.0ms	(cbrt V)

series1.2s

Calls

4 calls:

Slowest

334.0ms	(cbrt V)
303.0ms	(cbrt V)
294.0ms	(cbrt A)
248.0ms	(sqrt (* (* (/ (cbrt (cbrt A)) (cbrt V)) (cbrt (cbrt A))) (/ (cbrt (cbrt A)) l)))

simplify1.2m

Calls

635 calls:

Slowest

643.0ms	(sqrt (* (* (/ (cbrt (cbrt A)) (cbrt V)) (cbrt (cbrt A))) (/ (cbrt 1) (* (cbrt l) (cbrt l)))))
634.0ms	(* (* (/ (cbrt (sqrt (cbrt A))) (cbrt (sqrt V))) (cbrt (sqrt (cbrt A)))) (/ (sqrt (cbrt (cbrt A))) (sqrt l)))
616.0ms	(sqrt (* (* (/ (sqrt (cbrt (cbrt A))) (cbrt (sqrt V))) (cbrt (sqrt (cbrt A)))) (/ (sqrt (cbrt (cbrt A))) (sqrt l))))
521.0ms	(sqrt (* (* (/ (cbrt (cbrt A)) (cbrt V)) (cbrt (cbrt A))) (/ (cbrt (cbrt 1)) (* (cbrt l) (cbrt l)))))
485.0ms	(sqrt (* (* (/ (cbrt (cbrt A)) (* (cbrt (cbrt V)) (cbrt (cbrt V)))) (cbrt (cbrt A))) (* (cbrt (cbrt (cbrt A))) (cbrt (cbrt (cbrt A))))))

prune11.7s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.2b

localize93.0ms

Local error

Found 4 expressions with local error:

3.6b	(sqrt (* (* (cbrt (/ (cbrt (cbrt A)) (cbrt V))) (cbrt (cbrt A))) (/ (cbrt (cbrt A)) l)))
0.6b	(cbrt (/ (cbrt (cbrt A)) (cbrt V)))
0.6b	(cbrt (/ (cbrt (cbrt A)) (cbrt V)))
0.6b	(cbrt V)

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

1641×	`cbrt-prod`
1260×	`add-sqr-sqrt`
501×	`times-frac`
416×	`unswap-sqr`
334×	`associate-/l*`
324×	`cbrt-div`
308×	`*-un-lft-identity`
307×	`add-cube-cbrt`
306×	`associate-*l/`
305×	`sqrt-div`
270×	`frac-times`
235×	`sqrt-prod`
165×	`associate-/r*`
160×	`associate-l`
101×	`rem-sqrt-square`
40×	`associate-r`
38×	`clear-num`
37×	`frac-2neg`
15×	`associate-*r/`
10×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `div-inv` `add-log-exp`
3×	`sqrt-pow1` `pow1/3` `pow-prod-down`
2×	`un-div-inv` `*-commutative`
1×	`pow1/2`

Calls

4 calls:

Slowest

111.0ms	(sqrt (* (* (cbrt (/ (cbrt (cbrt A)) (cbrt V))) (cbrt (cbrt A))) (/ (cbrt (cbrt A)) l)))
4.0ms	(cbrt (/ (cbrt (cbrt A)) (cbrt V)))
3.0ms	(cbrt (/ (cbrt (cbrt A)) (cbrt V)))
1.0ms	(cbrt V)

series1.4s

Calls

4 calls:

Slowest

632.0ms	(sqrt (* (* (cbrt (/ (cbrt (cbrt A)) (cbrt V))) (cbrt (cbrt A))) (/ (cbrt (cbrt A)) l)))
262.0ms	(cbrt V)
258.0ms	(cbrt (/ (cbrt (cbrt A)) (cbrt V)))
242.0ms	(cbrt (/ (cbrt (cbrt A)) (cbrt V)))

simplify51.3s

Calls

811 calls:

Slowest

756.0ms	(* (pow A 1/27) (pow (/ 1 V) 1/9))
710.0ms	(* (pow A 1/27) (pow (/ 1 V) 1/9))
687.0ms	(* (pow A 1/27) (pow (/ 1 V) 1/9))
613.0ms	(sqrt (* (* (cbrt (cbrt (cbrt A))) (cbrt (cbrt A))) (/ (cbrt (cbrt A)) (* (cbrt l) (cbrt l)))))
584.0ms	(* (pow A 1/27) (pow (/ 1 V) 1/9))

prune19.2s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.2b

regimes1.2s

Accuracy

0% (1.6b remaining)

Error of 2.8b against oracle of 1.2b and baseline of 2.8b

bsearch9.0ms

end0.0ms

sample2.1s

Algorithm

intervals

Results

871.0ms	8963×	body	80	nan
792.0ms	8904×	body	80	valid