Details

sample125.0ms

Algorithm

intervals

Results

65.0ms	292×	body	80	valid
20.0ms	87×	body	80	nan

simplify1.2s

Counts: 1 → 1

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize36.0ms

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))))

rewrite173.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 221

Calls

4 calls:

Slowest

82.0ms	(/ (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ l h))
33.0ms	(sqrt (- 1 (/ (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ l h))))
24.0ms	(/ (* M D) (* 2 d))
23.0ms	(/ (* M D) (* 2 d))

series403.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

191.0ms	(sqrt (- 1 (/ (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ l h))))
134.0ms	(/ (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ l h))
47.0ms	(/ (* M D) (* 2 d))
32.0ms	(/ (* M D) (* 2 d))

simplify2.6s

Counts: 233 → 233

prune4.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.7b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-cbrt-cube` `add-exp-log`
21×	`times-frac`
17×	`cbrt-undiv` `div-exp`
16×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
12×	`prod-exp` `cbrt-unprod`
7×	`div-inv` `associate-/l*`
5×	`pow1` `associate-/r*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `flip--` `associate-/l/`

Counts

4 → 113

Calls

4 calls:

Slowest

20.0ms	(/ (* M D) (* 2 d))
19.0ms	(/ (/ (* M D) (* 2 d)) l)
12.0ms	(/ (* M D) (* 2 d))
5.0ms	(sqrt (- 1 (* (/ (/ (* M D) (* 2 d)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h)))))

series368.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

234.0ms	(sqrt (- 1 (* (/ (/ (* M D) (* 2 d)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h)))))
53.0ms	(/ (/ (* M D) (* 2 d)) l)
47.0ms	(/ (* M D) (* 2 d))
34.0ms	(/ (* M D) (* 2 d))

simplify683.0ms

Counts: 125 → 125

prune3.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.6b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-cbrt-cube` `add-exp-log`
21×	`times-frac`
17×	`cbrt-undiv` `div-exp`
16×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
12×	`prod-exp` `cbrt-unprod`
7×	`div-inv` `associate-/l*`
5×	`pow1` `associate-/r*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `flip--` `associate-/l/`

Counts

4 → 113

Calls

4 calls:

Slowest

28.0ms	(/ (/ (* M D) (* 2 d)) l)
18.0ms	(/ (* M D) (* 2 d))
12.0ms	(/ (* M D) (* 2 d))
5.0ms	(sqrt (- 1 (* (/ (/ (* M D) (* 2 d)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h)))))

series356.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

224.0ms	(sqrt (- 1 (* (/ (/ (* M D) (* 2 d)) l) (/ (/ (* M D) (* 2 d)) (/ 1 h)))))
60.0ms	(/ (/ (* M D) (* 2 d)) l)
37.0ms	(/ (* M D) (* 2 d))
35.0ms	(/ (* M D) (* 2 d))

simplify691.0ms

Counts: 125 → 125

prune2.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.6b

localize109.0ms

Local error

Found 4 expressions with local error:

5.7b	(/ (* M D) (* 2 d))
5.7b	(/ (* M D) (* 2 d))
4.5b	(sqrt (- 1 (* (/ (/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l))) (cbrt l)) (/ (/ (* M D) (* 2 d)) (/ 1 h)))))
4.2b	(/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-exp-log`
59×	`add-cbrt-cube`
26×	`cbrt-undiv` `div-exp`
21×	`prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`add-sqr-sqrt`
7×	`-un-lft-identity` `add-cube-cbrt` `associate-/l`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `associate-/r*` `frac-2neg` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `flip--` `associate-/l/`

Counts

4 → 111

Calls

4 calls:

Slowest

23.0ms	(/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l)))
12.0ms	(/ (* M D) (* 2 d))
11.0ms	(/ (* M D) (* 2 d))
6.0ms	(sqrt (- 1 (* (/ (/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l))) (cbrt l)) (/ (/ (* M D) (* 2 d)) (/ 1 h)))))

series571.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

276.0ms	(sqrt (- 1 (* (/ (/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l))) (cbrt l)) (/ (/ (* M D) (* 2 d)) (/ 1 h)))))
211.0ms	(/ (/ (* M D) (* 2 d)) (* (cbrt l) (cbrt l)))
45.0ms	(/ (* M D) (* 2 d))
39.0ms	(/ (* M D) (* 2 d))

simplify830.0ms

Counts: 123 → 123

prune2.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 6.6b

regimes1.7s

Accuracy

-14% (1.6b remaining)

Error of 8.5b against oracle of 6.9b and baseline of 8.3b

bsearch284.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.9s	9298×	body	80	valid
609.0ms	3010×	body	80	nan