Details

sample139.0ms

Algorithm

intervals

Results

62.0ms	292×	body	80	valid
38.0ms	87×	body	80	nan

simplify1.4s

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize42.0ms

Local error

Found 4 expressions with local error:

11.1b	(/ (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ l h))
5.7b	(/ (* M D) (* 2 d))
5.7b	(/ (* M D) (* 2 d))
4.5b	(sqrt (- 1 (/ (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ l h))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

368×	`add-cbrt-cube` `add-exp-log`
166×	`cbrt-undiv` `div-exp`
138×	`prod-exp` `cbrt-unprod`
39×	`times-frac`
31×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
19×	`add-cube-cbrt`
15×	`associate-/r*`
10×	`sqrt-prod`
6×	`difference-of-squares`
5×	`pow1` `div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l*` `associate-/l/`
2×	`sqrt-div`
1×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-l/` `associate-r/` `associate-/r/` `flip--` `distribute-lft-out--`

Counts

4 → 213

Calls

4 calls:

Slowest

42.0ms	(/ (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ l h))
11.0ms	(sqrt (- 1 (/ (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ l h))))
10.0ms	(/ (* M D) (* 2 d))
10.0ms	(/ (* M D) (* 2 d))

series379.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

183.0ms	(sqrt (- 1 (/ (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ l h))))
99.0ms	(/ (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ l h))
49.0ms	(/ (* M D) (* 2 d))
48.0ms	(/ (* M D) (* 2 d))

simplify2.5s

Counts: 225 → 225

prune4.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.2b

localize61.0ms

Local error

Found 4 expressions with local error:

14.0b	(cbrt (/ l h))
14.0b	(cbrt (/ l h))
14.0b	(cbrt (/ l h))
5.7b	(/ (* M D) (* d 2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
28×	`times-frac`
25×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-/l`

Counts

4 → 91

Calls

4 calls:

Slowest

20.0ms	(/ (* M D) (* d 2))
3.0ms	(cbrt (/ l h))
2.0ms	(cbrt (/ l h))
2.0ms	(cbrt (/ l h))

series302.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

107.0ms	(cbrt (/ l h))
79.0ms	(cbrt (/ l h))
73.0ms	(cbrt (/ l h))
44.0ms	(/ (* M D) (* d 2))

simplify4.0s

Counts: 103 → 103

prune2.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.2b

localize64.0ms

Local error

Found 4 expressions with local error:

17.5b	(cbrt (* (* (/ (/ (* M D) (* d 2)) (/ l (/ (* M D) (* d 2)))) h) (* (* (/ (/ (* M D) (* d 2)) (/ l (/ (* M D) (* d 2)))) h) (* (/ (/ (* M D) (* d 2)) (/ l (/ (* M D) (* d 2)))) h))))
5.7b	(/ (* M D) (* d 2))
5.7b	(/ (* M D) (* d 2))
5.7b	(/ (* M D) (* d 2))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

40×	`add-cbrt-cube` `add-exp-log`
15×	`associate-*l/`
12×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`cbrt-div`
5×	`frac-times` `associate-*r/`
4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l`
1×	`cbrt-prod` `pow1/3` `cube-unmult` `rem-cbrt-cube`

Counts

4 → 84

Calls

4 calls:

Slowest

1.1s	(cbrt (* (* (/ (/ (* M D) (* d 2)) (/ l (/ (* M D) (* d 2)))) h) (* (* (/ (/ (* M D) (* d 2)) (/ l (/ (* M D) (* d 2)))) h) (* (/ (/ (* M D) (* d 2)) (/ l (/ (* M D) (* d 2)))) h))))
21.0ms	(/ (* M D) (* d 2))
13.0ms	(/ (* M D) (* d 2))
11.0ms	(/ (* M D) (* d 2))

series267.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

151.0ms	(cbrt (* (* (/ (/ (* M D) (* d 2)) (/ l (/ (* M D) (* d 2)))) h) (* (* (/ (/ (* M D) (* d 2)) (/ l (/ (* M D) (* d 2)))) h) (* (/ (/ (* M D) (* d 2)) (/ l (/ (* M D) (* d 2)))) h))))
49.0ms	(/ (* M D) (* d 2))
37.0ms	(/ (* M D) (* d 2))
30.0ms	(/ (* M D) (* d 2))

simplify8.3s

Counts: 96 → 96

prune2.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 7.2b

localize57.0ms

Local error

Found 4 expressions with local error:

5.7b	(/ (* M D) (* d 2))
5.7b	(/ (* M D) (* d 2))
5.6b	(* (/ (/ (* M D) (* d 2)) (/ l (/ (* M D) (* d 2)))) h)
5.5b	(/ l (/ (* M D) (* d 2)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

251×	`add-cbrt-cube` `add-exp-log`
234×	`times-frac`
116×	`cbrt-undiv` `div-exp`
105×	`associate-l`
90×	`add-sqr-sqrt`
87×	`prod-exp` `cbrt-unprod`
81×	`*-un-lft-identity` `add-cube-cbrt`
48×	`div-inv`
7×	`associate-/r*` `associate-/r/`
6×	`pow1`
5×	`associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `unswap-sqr`
1×	`pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 273

Calls

4 calls:

Slowest

60.0ms	(* (/ (/ (* M D) (* d 2)) (/ l (/ (* M D) (* d 2)))) h)
13.0ms	(/ (* M D) (* d 2))
10.0ms	(/ (* M D) (* d 2))
10.0ms	(/ l (/ (* M D) (* d 2)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

100.0ms	(* (/ (/ (* M D) (* d 2)) (/ l (/ (* M D) (* d 2)))) h)
78.0ms	(/ l (/ (* M D) (* d 2)))
39.0ms	(/ (* M D) (* d 2))
35.0ms	(/ (* M D) (* d 2))

simplify802.0ms

Counts: 285 → 285

prune6.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.8b

regimes1.1s

Accuracy

0% (1.2b remaining)

Error of 8.3b against oracle of 7.1b and baseline of 8.3b

bsearch5.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.3s	9298×	body	80	valid
624.0ms	3010×	body	80	nan