Details

sample138.0ms

Algorithm

intervals

Results

74.0ms	313×	body	80	valid
24.0ms	104×	body	80	nan

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
4	4673
3	593
2	93
1	36
0	17

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize26.0ms

Local error

Found 4 expressions with local error:

4.7b	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
5.1b	(/ (* M D) (* 2 d))
5.1b	(/ (* M D) (* 2 d))
10.0b	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

rewrite253.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 206

Calls

4 calls:

10.0ms	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
15.0ms	(/ (* M D) (* 2 d))
12.0ms	(/ (* M D) (* 2 d))
207.0ms	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

series352.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
34.0ms	(/ (* M D) (* 2 d))
38.0ms	(/ (* M D) (* 2 d))
101.0ms	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))

simplify1.3s

Counts

218 → 218

Iterations

Iter	Nodes
2	4014
1	934
0	327

prune3.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.3b

localize44.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
4.7b	(sqrt (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d))) (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))) (/ (cbrt h) (cbrt l)))))
5.1b	(/ (* M D) (* 2 d))
5.1b	(/ (* M D) (* 2 d))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 151

Calls

4 calls:

29.0ms	(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
6.0ms	(sqrt (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d))) (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))) (/ (cbrt h) (cbrt l)))))
16.0ms	(/ (* M D) (* 2 d))
21.0ms	(/ (* M D) (* 2 d))

series477.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))
157.0ms	(sqrt (- 1 (* (* (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d))) (* (/ (cbrt h) (cbrt l)) (/ (* M D) (* 2 d)))) (/ (cbrt h) (cbrt l)))))
40.0ms	(/ (* M D) (* 2 d))
32.0ms	(/ (* M D) (* 2 d))

simplify1.0s

Counts

163 → 163

Iterations

Iter	Nodes
2	2825
1	617
0	226

prune3.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.3b

localize107.0ms

Local error

Found 4 expressions with local error:

5.1b	(/ (* M D) (* 2 d))
5.1b	(/ (* M D) (* 2 d))
5.1b	(/ (* M D) (* 2 d))
5.1b	(/ (* M D) (* 2 d))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-cbrt-cube` `add-exp-log`
16×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `clear-num` `associate-/r` `frac-2neg` `-un-lft-identity` `times-frac` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

4 → 96

Calls

4 calls:

14.0ms	(/ (* M D) (* 2 d))
24.0ms	(/ (* M D) (* 2 d))
12.0ms	(/ (* M D) (* 2 d))
18.0ms	(/ (* M D) (* 2 d))

series134.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (* M D) (* 2 d))
29.0ms	(/ (* M D) (* 2 d))
30.0ms	(/ (* M D) (* 2 d))
40.0ms	(/ (* M D) (* 2 d))

simplify3.3s

Counts

108 → 108

Iterations

Iter	Nodes
3	6794
2	842
1	163
0	59

prune2.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.3b

localize116.0ms

Local error

Found 4 expressions with local error:

5.1b	(/ (* M D) (* 2 d))
5.1b	(/ (* M D) (* 2 d))
5.1b	(/ (* M D) (* 2 d))
5.1b	(/ (* M D) (* 2 d))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-cbrt-cube` `add-exp-log`
16×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `clear-num` `associate-/r` `frac-2neg` `-un-lft-identity` `times-frac` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

4 → 96

Calls

4 calls:

24.0ms	(/ (* M D) (* 2 d))
25.0ms	(/ (* M D) (* 2 d))
23.0ms	(/ (* M D) (* 2 d))
24.0ms	(/ (* M D) (* 2 d))

series161.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (* M D) (* 2 d))
36.0ms	(/ (* M D) (* 2 d))
37.0ms	(/ (* M D) (* 2 d))
44.0ms	(/ (* M D) (* 2 d))

simplify2.9s

Counts

108 → 108

Iterations

Iter	Nodes
3	6794
2	842
1	163
0	59

prune2.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 7.3b

regimes1.4s

Accuracy

0% (0.8b remaining)

Error of 8.2b against oracle of 7.4b and baseline of 8.2b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	27
1	27
0	22

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.1s	9360×	body	80	valid
645.0ms	3141×	body	80	nan