Details

sample131.0ms

Algorithm

intervals

Results

79.0ms	298×	body	80	valid
16.0ms	72×	body	80	nan

simplify1.7s

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: 12.8b

localize58.0ms

Local error

Found 4 expressions with local error:

3.6b	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
6.4b	(/ (* M D) (* 2 d))
6.4b	(/ (* M D) (* 2 d))
10.3b	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

rewrite196.0ms

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:

8.0ms	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
23.0ms	(/ (* M D) (* 2 d))
22.0ms	(/ (* M D) (* 2 d))
135.0ms	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

series368.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
39.0ms	(/ (* M D) (* 2 d))
34.0ms	(/ (* M D) (* 2 d))
107.0ms	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

simplify1.4s

Counts

210 → 210

Iterations

Iter	Nodes
2	3936
1	957
0	321

prune3.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.5b

localize42.0ms

Local error

Found 4 expressions with local error:

4.1b	(/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l)))
5.9b	(* (* (/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l))) (/ (* M D) (* 2 d))) (/ h (cbrt l)))
6.4b	(/ (* M D) (* 2 d))
6.4b	(/ (* M D) (* 2 d))

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

945×	`add-exp-log`
779×	`add-cbrt-cube`
461×	`prod-exp` `cbrt-unprod`
350×	`cbrt-undiv` `div-exp`
27×	`times-frac`
22×	`associate-r`
19×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `pow1`
7×	`associate-/l*`
6×	`div-inv`
5×	`frac-times` `associate-*l/`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `associate-r/`
1×	`associate-l` `*-commutative` `associate-/l/`

Counts

4 → 352

Calls

4 calls:

25.0ms	(/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l)))
205.0ms	(* (* (/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l))) (/ (* M D) (* 2 d))) (/ h (cbrt l)))
14.0ms	(/ (* M D) (* 2 d))
22.0ms	(/ (* M D) (* 2 d))

series486.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l)))
198.0ms	(* (* (/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l))) (/ (* M D) (* 2 d))) (/ h (cbrt l)))
45.0ms	(/ (* M D) (* 2 d))
37.0ms	(/ (* M D) (* 2 d))

simplify4.4s

Counts

364 → 364

Iterations

Iter	Nodes
2	7180
1	1926
0	557

prune6.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.2b

localize68.0ms

Local error

Found 4 expressions with local error:

4.1b	(/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l)))
6.4b	(/ (* M D) (* 2 d))
6.4b	(/ (* M D) (* 2 d))
7.6b	(* (/ (* M D) (* 2 d)) (/ h (cbrt l)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

110×	`add-exp-log`
95×	`add-cbrt-cube`
39×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
30×	`times-frac`
28×	`add-sqr-sqrt`
22×	`associate-r`
20×	`*-un-lft-identity` `add-cube-cbrt`
10×	`cbrt-prod`
7×	`div-inv` `associate-/l*`
6×	`pow1`
5×	`associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `associate-/r*` `frac-2neg` `unswap-sqr`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 150

Calls

4 calls:

23.0ms	(/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l)))
11.0ms	(/ (* M D) (* 2 d))
13.0ms	(/ (* M D) (* 2 d))
42.0ms	(* (/ (* M D) (* 2 d)) (/ h (cbrt l)))

series871.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l)))
47.0ms	(/ (* M D) (* 2 d))
51.0ms	(/ (* M D) (* 2 d))
548.0ms	(* (/ (* M D) (* 2 d)) (/ h (cbrt l)))

simplify1.1s

Counts

162 → 162

Iterations

Iter	Nodes
2	3877
1	736
0	242

prune2.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.2b

localize95.0ms

Local error

Found 4 expressions with local error:

4.1b	(/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l)))
5.1b	(* (/ (* M D) (* 2 d)) (/ (* (cbrt h) (cbrt h)) (cbrt (* (cbrt l) (cbrt l)))))
6.4b	(/ (* M D) (* 2 d))
6.4b	(/ (* M D) (* 2 d))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

138×	`add-exp-log`
108×	`add-cbrt-cube`
53×	`prod-exp` `cbrt-unprod`
48×	`cbrt-undiv` `div-exp`
16×	`times-frac`
14×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
7×	`div-inv` `associate-/l*`
6×	`pow1`
5×	`associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `associate-/r*` `frac-2neg` `unswap-sqr`
2×	`cbrt-prod`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 146

Calls

4 calls:

26.0ms	(/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l)))
80.0ms	(* (/ (* M D) (* 2 d)) (/ (* (cbrt h) (cbrt h)) (cbrt (* (cbrt l) (cbrt l)))))
15.0ms	(/ (* M D) (* 2 d))
11.0ms	(/ (* M D) (* 2 d))

series831.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l)))
497.0ms	(* (/ (* M D) (* 2 d)) (/ (* (cbrt h) (cbrt h)) (cbrt (* (cbrt l) (cbrt l)))))
47.0ms	(/ (* M D) (* 2 d))
41.0ms	(/ (* M D) (* 2 d))

simplify2.0s

Counts

158 → 158

Iterations

Iter	Nodes
2	3776
1	734
0	237

prune3.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.2b

regimes1.6s

Accuracy

28.1% (0.7b remaining)

Error of 7.5b against oracle of 6.8b and baseline of 7.8b

bsearch2.0ms

simplify21.0ms

Iterations

Iter	Nodes
2	52
1	52
0	42

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.0s	9274×	body	80	valid
581.0ms	3185×	body	80	nan