Details

sample82.0ms

Algorithm

intervals

Results

46.0ms	295×	body	80	valid
13.0ms	110×	body	80	nan

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
4	4693
3	589
2	93
1	36
0	17

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize59.0ms

Local error

Found 4 expressions with local error:

4.3b	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
4.4b	(/ (* M D) (* 2 d))
4.4b	(/ (* M D) (* 2 d))
8.6b	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

368×	`add-cbrt-cube` `add-exp-log`
190×	`prod-exp` `cbrt-unprod`
114×	`cbrt-undiv` `div-exp`
16×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
10×	`pow1`
5×	`frac-times` `associate-*l/`
4×	`insert-posit16` `add-log-exp`
3×	`pow-prod-down` `associate-*r/` `sqrt-prod` `div-inv`
2×	`clear-num` `associate-/r` `frac-2neg` `sqrt-div` `associate-/l` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-l` `*-commutative` `flip--`

Counts

4 → 198

Calls

4 calls:

9.0ms	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
24.0ms	(/ (* M D) (* 2 d))
12.0ms	(/ (* M D) (* 2 d))
197.0ms	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

series396.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
41.0ms	(/ (* M D) (* 2 d))
40.0ms	(/ (* M D) (* 2 d))
112.0ms	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

simplify1.3s

Counts

210 → 210

Iterations

Iter	Nodes
2	3936
1	957
0	321

prune3.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.4b

localize50.0ms

Local error

Found 4 expressions with local error:

4.3b	(sqrt (- 1 (* (* (* (/ (* M D) (* 2 d)) (cbrt h)) (* (/ (* M D) (* 2 d)) (cbrt h))) (/ (cbrt h) l))))
4.4b	(/ (* M D) (* 2 d))
4.4b	(/ (* M D) (* 2 d))
5.3b	(* (* (* (/ (* M D) (* 2 d)) (cbrt h)) (* (/ (* M D) (* 2 d)) (cbrt h))) (/ (cbrt h) l))

rewrite878.0ms

Algorithm

rewrite-expression-head

Rules

597×	`add-exp-log`
440×	`add-cbrt-cube`
370×	`prod-exp` `cbrt-unprod`
141×	`cbrt-undiv` `div-exp`
24×	`add-sqr-sqrt`
23×	`pow1`
22×	`times-frac` `associate-r`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow-prod-down` `associate-*l/`
10×	`cbrt-prod`
5×	`frac-times`
4×	`insert-posit16` `add-log-exp`
3×	`associate-*r/` `sqrt-prod` `div-inv` `unswap-sqr`
2×	`clear-num` `associate-/r` `frac-2neg` `sqrt-div` `associate-/l`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-l` `*-commutative` `flip--`

Counts

4 → 255

Calls

4 calls:

8.0ms	(sqrt (- 1 (* (* (* (/ (* M D) (* 2 d)) (cbrt h)) (* (/ (* M D) (* 2 d)) (cbrt h))) (/ (cbrt h) l))))
25.0ms	(/ (* M D) (* 2 d))
25.0ms	(/ (* M D) (* 2 d))
802.0ms	(* (* (* (/ (* M D) (* 2 d)) (cbrt h)) (* (/ (* M D) (* 2 d)) (cbrt h))) (/ (cbrt h) l))

series529.0ms

Counts

4 → 12

Calls

4 calls:

289.0ms	(sqrt (- 1 (* (* (* (/ (* M D) (* 2 d)) (cbrt h)) (* (/ (* M D) (* 2 d)) (cbrt h))) (/ (cbrt h) l))))
34.0ms	(/ (* M D) (* 2 d))
35.0ms	(/ (* M D) (* 2 d))
170.0ms	(* (* (* (/ (* M D) (* 2 d)) (cbrt h)) (* (/ (* M D) (* 2 d)) (cbrt h))) (/ (cbrt h) l))

simplify2.7s

Counts

267 → 267

Iterations

Iter	Nodes
2	5078
1	1292
0	426

prune4.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.5b

localize109.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (/ (cbrt h) 2) (/ M (/ d D)))
4.3b	(sqrt (- 1 (* (* (* (/ (cbrt h) 2) (/ M (/ d D))) (* (* (* (/ (cbrt h) 2) (/ M (/ d D))) (/ (cbrt (cbrt h)) (cbrt l))) (/ (cbrt (cbrt h)) (cbrt l)))) (/ (cbrt (cbrt h)) (cbrt l)))))
6.4b	(/ M (/ d D))
6.4b	(/ M (/ d D))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
171×	`add-sqr-sqrt`
137×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
32×	`add-cbrt-cube`
26×	`associate-/r*`
22×	`associate-l`
15×	`cbrt-undiv` `div-exp` `div-inv`
12×	`cbrt-prod`
9×	`unswap-sqr`
7×	`pow1`
6×	`prod-exp` `cbrt-unprod` `associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r/` `sqrt-prod`
2×	`clear-num` `frac-2neg` `sqrt-div`
1×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip--`

Counts

4 → 258

Calls

4 calls:

25.0ms	(* (/ (cbrt h) 2) (/ M (/ d D)))
4.0ms	(sqrt (- 1 (* (* (* (/ (cbrt h) 2) (/ M (/ d D))) (* (* (* (/ (cbrt h) 2) (/ M (/ d D))) (/ (cbrt (cbrt h)) (cbrt l))) (/ (cbrt (cbrt h)) (cbrt l)))) (/ (cbrt (cbrt h)) (cbrt l)))))
6.0ms	(/ M (/ d D))
10.0ms	(/ M (/ d D))

series670.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(* (/ (cbrt h) 2) (/ M (/ d D)))
372.0ms	(sqrt (- 1 (* (* (* (/ (cbrt h) 2) (/ M (/ d D))) (* (* (* (/ (cbrt h) 2) (/ M (/ d D))) (/ (cbrt (cbrt h)) (cbrt l))) (/ (cbrt (cbrt h)) (cbrt l)))) (/ (cbrt (cbrt h)) (cbrt l)))))
35.0ms	(/ M (/ d D))
32.0ms	(/ M (/ d D))

simplify2.5s

Counts

270 → 270

Iterations

Iter	Nodes
2	3970
1	986
0	327

prune6.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 6.4b

localize147.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (/ (cbrt h) 2) (* (* (* (cbrt D) (/ (cbrt M) (cbrt d))) (* (cbrt D) (/ (cbrt M) (cbrt d)))) (* (cbrt D) (/ (cbrt M) (cbrt d)))))
2.6b	(* (/ (cbrt h) 2) (/ M (/ d D)))
4.3b	(sqrt (- 1 (* (* (* (/ (cbrt h) 2) (/ M (/ d D))) (* (* (* (/ (cbrt h) 2) (* (* (* (cbrt D) (/ (cbrt M) (cbrt d))) (* (cbrt D) (/ (cbrt M) (cbrt d)))) (* (cbrt D) (/ (cbrt M) (cbrt d))))) (/ (cbrt (cbrt h)) (cbrt l))) (/ (cbrt (cbrt h)) (cbrt l)))) (/ (cbrt (cbrt h)) (cbrt l)))))
6.4b	(/ M (/ d D))

rewrite771.0ms

Algorithm

rewrite-expression-head

Rules

467×	`add-exp-log`
294×	`prod-exp` `cbrt-unprod`
209×	`add-cbrt-cube`
192×	`times-frac`
142×	`add-sqr-sqrt`
108×	`*-un-lft-identity` `add-cube-cbrt`
99×	`cbrt-undiv` `div-exp`
60×	`pow1`
45×	`associate-r`
44×	`associate-l`
43×	`pow-prod-down`
38×	`associate-*r/`
21×	`cbrt-prod`
18×	`frac-times`
13×	`associate-/r*`
12×	`associate-*l/`
11×	`div-inv`
9×	`unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`sqrt-prod` `associate-/l*`
2×	`sqrt-div` `associate-/r/` `*-commutative`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `flip--`

Counts

4 → 369

Calls

4 calls:

703.0ms	(* (/ (cbrt h) 2) (* (* (* (cbrt D) (/ (cbrt M) (cbrt d))) (* (cbrt D) (/ (cbrt M) (cbrt d)))) (* (cbrt D) (/ (cbrt M) (cbrt d)))))
40.0ms	(* (/ (cbrt h) 2) (/ M (/ d D)))
8.0ms	(sqrt (- 1 (* (* (* (/ (cbrt h) 2) (/ M (/ d D))) (* (* (* (/ (cbrt h) 2) (* (* (* (cbrt D) (/ (cbrt M) (cbrt d))) (* (cbrt D) (/ (cbrt M) (cbrt d)))) (* (cbrt D) (/ (cbrt M) (cbrt d))))) (/ (cbrt (cbrt h)) (cbrt l))) (/ (cbrt (cbrt h)) (cbrt l)))) (/ (cbrt (cbrt h)) (cbrt l)))))
10.0ms	(/ M (/ d D))

series1.1s

Counts

4 → 12

Calls

4 calls:

330.0ms	(* (/ (cbrt h) 2) (* (* (* (cbrt D) (/ (cbrt M) (cbrt d))) (* (cbrt D) (/ (cbrt M) (cbrt d)))) (* (cbrt D) (/ (cbrt M) (cbrt d)))))
273.0ms	(* (/ (cbrt h) 2) (/ M (/ d D)))
483.0ms	(sqrt (- 1 (* (* (* (/ (cbrt h) 2) (/ M (/ d D))) (* (* (* (/ (cbrt h) 2) (* (* (* (cbrt D) (/ (cbrt M) (cbrt d))) (* (cbrt D) (/ (cbrt M) (cbrt d)))) (* (cbrt D) (/ (cbrt M) (cbrt d))))) (/ (cbrt (cbrt h)) (cbrt l))) (/ (cbrt (cbrt h)) (cbrt l)))) (/ (cbrt (cbrt h)) (cbrt l)))))
33.0ms	(/ M (/ d D))

simplify5.9s

Counts

381 → 381

Iterations

Iter	Nodes
2	8577
1	1848
0	609

prune10.6s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 6.4b

regimes2.4s

Accuracy

0% (0.7b remaining)

Error of 7.3b against oracle of 6.7b and baseline of 7.3b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
2	43
1	43
0	33

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.3s	9335×	body	80	valid
573.0ms	3071×	body	80	nan