Details

sample143.0ms

Algorithm

intervals

Results

82.0ms	299×	body	80	valid
23.0ms	103×	body	80	nan

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
4	4626
3	596
2	95
1	38
0	17

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize57.0ms

Local error

Found 4 expressions with local error:

3.5b	(sqrt (- 1 (/ (/ (* M D) (* 2 d)) (/ (/ l h) (/ (* M D) (* 2 d))))))
6.4b	(/ (* M D) (* 2 d))
6.4b	(/ (* M D) (* 2 d))
8.3b	(/ (/ l h) (/ (* M D) (* 2 d)))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
86×	`add-sqr-sqrt`
69×	`add-cbrt-cube` `add-exp-log`
67×	`*-un-lft-identity`
61×	`add-cube-cbrt`
31×	`cbrt-undiv` `div-exp`
23×	`div-inv`
16×	`prod-exp` `cbrt-unprod`
15×	`associate-/l*`
12×	`sqrt-prod`
8×	`difference-of-squares`
7×	`associate-/r*`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 193

Calls

4 calls:

125.0ms	(sqrt (- 1 (/ (/ (* M D) (* 2 d)) (/ (/ l h) (/ (* M D) (* 2 d))))))
22.0ms	(/ (* M D) (* 2 d))
28.0ms	(/ (* M D) (* 2 d))
29.0ms	(/ (/ l h) (/ (* M D) (* 2 d)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(sqrt (- 1 (/ (/ (* M D) (* 2 d)) (/ (/ l h) (/ (* M D) (* 2 d))))))
48.0ms	(/ (* M D) (* 2 d))
42.0ms	(/ (* M D) (* 2 d))
79.0ms	(/ (/ l h) (/ (* M D) (* 2 d)))

simplify1.1s

Counts

205 → 205

Iterations

Iter	Nodes
2	3604
1	953
0	350

prune3.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.7b

localize47.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ l (* (/ (* M D) (* 2 d)) h))
4.4b	(* (/ (* M D) (* 2 d)) h)
6.4b	(/ (* M D) (* 2 d))
6.4b	(/ (* M D) (* 2 d))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-cbrt-cube` `add-exp-log`
26×	`prod-exp` `cbrt-unprod`
22×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `times-frac`
5×	`associate-l` `associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`clear-num` `associate-/r` `frac-2neg` `associate-r*`
2×	`associate-*l/`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

20.0ms	(/ l (* (/ (* M D) (* 2 d)) h))
44.0ms	(* (/ (* M D) (* 2 d)) h)
15.0ms	(/ (* M D) (* 2 d))
11.0ms	(/ (* M D) (* 2 d))

series248.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(/ l (* (/ (* M D) (* 2 d)) h))
69.0ms	(* (/ (* M D) (* 2 d)) h)
47.0ms	(/ (* M D) (* 2 d))
50.0ms	(/ (* M D) (* 2 d))

simplify386.0ms

Counts

125 → 125

Iterations

Iter	Nodes
2	2034
1	404
0	148

prune1.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.7b

localize55.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ l (* (/ 1 (/ (* 2 d) (* M D))) h))
4.4b	(* (/ 1 (/ (* 2 d) (* M D))) h)
6.0b	(/ (* 2 d) (* M D))
6.4b	(/ (* M D) (* 2 d))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

168×	`add-exp-log`
86×	`add-cbrt-cube`
69×	`div-exp`
64×	`prod-exp`
33×	`cbrt-undiv`
28×	`cbrt-unprod`
25×	`times-frac`
23×	`add-sqr-sqrt`
20×	`associate-l`
17×	`*-un-lft-identity`
16×	`add-cube-cbrt`
10×	`rec-exp` `1-exp`
7×	`div-inv`
6×	`pow1`
5×	`associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `associate-/r` `frac-2neg` `associate-r*` `unswap-sqr`
2×	`associate-*l/` `associate-/r/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 154

Calls

4 calls:

50.0ms	(/ l (* (/ 1 (/ (* 2 d) (* M D))) h))
59.0ms	(* (/ 1 (/ (* 2 d) (* M D))) h)
16.0ms	(/ (* 2 d) (* M D))
17.0ms	(/ (* M D) (* 2 d))

series221.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ l (* (/ 1 (/ (* 2 d) (* M D))) h))
57.0ms	(* (/ 1 (/ (* 2 d) (* M D))) h)
40.0ms	(/ (* 2 d) (* M D))
32.0ms	(/ (* M D) (* 2 d))

simplify708.0ms

Counts

166 → 166

Iterations

Iter	Nodes
2	3062
1	690
0	257

prune2.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.7b

localize63.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ l (* (/ 1 (/ (* 2 d) (* M D))) h))
4.4b	(* (/ 1 (/ (* 2 d) (* M D))) h)
6.0b	(/ (* 2 d) (* M D))
6.5b	(* (* M D) (/ 1 (* 2 d)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

201×	`add-exp-log`
95×	`add-cbrt-cube`
87×	`prod-exp`
73×	`div-exp`
35×	`cbrt-unprod`
33×	`cbrt-undiv`
27×	`times-frac`
25×	`add-sqr-sqrt`
21×	`associate-l`
19×	`*-un-lft-identity`
18×	`add-cube-cbrt`
14×	`rec-exp` `1-exp`
11×	`pow1`
10×	`associate-r`
7×	`div-inv`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`unswap-sqr`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-l/` `associate-/r/` `*-commutative`
1×	`associate-*r/` `un-div-inv`

Counts

4 → 173

Calls

4 calls:

38.0ms	(/ l (* (/ 1 (/ (* 2 d) (* M D))) h))
51.0ms	(* (/ 1 (/ (* 2 d) (* M D))) h)
11.0ms	(/ (* 2 d) (* M D))
28.0ms	(* (* M D) (/ 1 (* 2 d)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ l (* (/ 1 (/ (* 2 d) (* M D))) h))
69.0ms	(* (/ 1 (/ (* 2 d) (* M D))) h)
49.0ms	(/ (* 2 d) (* M D))
41.0ms	(* (* M D) (/ 1 (* 2 d)))

simplify1.2s

Counts

185 → 185

Iterations

Iter	Nodes
2	3074
1	786
0	291

prune3.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.7b

regimes1.2s

Accuracy

0% (1.0b remaining)

Error of 8.2b against oracle of 7.1b and baseline of 8.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	27
1	27
0	20

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.9s	9293×	body	80	valid
609.0ms	3048×	body	80	nan