Details

sample117.0ms

Algorithm

intervals

Results

50.0ms	290×	body	80	valid
35.0ms	96×	body	80	nan

simplify902.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2008
4	2008
3	596
2	95
1	38
0	17

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.8b

localize37.0ms

Local error

Found 4 expressions with local error:

3.7b	(sqrt (- 1 (* (/ (/ (/ (* M D) d) 2) (/ l h)) (/ (/ (* M D) d) 2))))
7.4b	(/ (* M D) d)
7.4b	(/ (* M D) d)
10.5b	(/ (/ (/ (* M D) d) 2) (/ l h))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

985×	`times-frac`
388×	`add-sqr-sqrt`
387×	`*-un-lft-identity` `add-cube-cbrt`
85×	`div-inv`
46×	`add-cbrt-cube` `add-exp-log`
27×	`associate-/l*`
26×	`cbrt-undiv` `div-exp`
19×	`associate-/r*`
5×	`pow1`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `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` `associate-/r/` `flip--` `associate-/l/`

Counts

4 → 460

Calls

4 calls:

11.0ms	(sqrt (- 1 (* (/ (/ (/ (* M D) d) 2) (/ l h)) (/ (/ (* M D) d) 2))))
16.0ms	(/ (* M D) d)
9.0ms	(/ (* M D) d)
32.0ms	(/ (/ (/ (* M D) d) 2) (/ l h))

series322.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(sqrt (- 1 (* (/ (/ (/ (* M D) d) 2) (/ l h)) (/ (/ (* M D) d) 2))))
21.0ms	(/ (* M D) d)
25.0ms	(/ (* M D) d)
111.0ms	(/ (/ (/ (* M D) d) 2) (/ l h))

simplify1.3s

Counts

472 → 472

Iterations

Iter	Nodes
done	2000
1	2000
0	864

prune8.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 8.3b

localize46.0ms

Local error

Found 4 expressions with local error:

4.6b	(* (/ (/ (* M D) d) l) (/ (/ 1 2) (/ 1 h)))
5.3b	(/ (/ (* M D) d) l)
7.4b	(/ (* M D) d)
7.4b	(/ (* M D) d)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

524×	`times-frac`
357×	`add-exp-log`
301×	`add-sqr-sqrt`
233×	`*-un-lft-identity`
222×	`div-exp`
221×	`add-cube-cbrt`
174×	`associate-r`
125×	`add-cbrt-cube`
88×	`prod-exp`
66×	`cbrt-undiv`
38×	`div-inv`
32×	`rec-exp` `1-exp`
28×	`cbrt-unprod`
25×	`associate-l`
20×	`unswap-sqr`
9×	`associate-/r` `associate-/l`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `associate-/r/` `*-commutative` `associate-/l/`

Counts

4 → 421

Calls

4 calls:

38.0ms	(* (/ (/ (* M D) d) l) (/ (/ 1 2) (/ 1 h)))
11.0ms	(/ (/ (* M D) d) l)
12.0ms	(/ (* M D) d)
16.0ms	(/ (* M D) d)

series197.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (/ (/ (* M D) d) l) (/ (/ 1 2) (/ 1 h)))
30.0ms	(/ (/ (* M D) d) l)
41.0ms	(/ (* M D) d)
26.0ms	(/ (* M D) d)

simplify1.7s

Counts

433 → 433

Iterations

Iter	Nodes
done	2000
1	2000
0	655

prune7.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 8.3b

localize64.0ms

Local error

Found 4 expressions with local error:

4.6b	(* (/ (/ (* M D) d) l) (/ (/ 1 2) (/ 1 h)))
5.3b	(/ (/ (* M D) d) l)
7.4b	(/ d (* M D))
7.4b	(/ (* M D) d)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

524×	`times-frac`
357×	`add-exp-log`
301×	`add-sqr-sqrt`
233×	`*-un-lft-identity`
222×	`div-exp`
221×	`add-cube-cbrt`
174×	`associate-r`
125×	`add-cbrt-cube`
88×	`prod-exp`
66×	`cbrt-undiv`
38×	`div-inv`
32×	`rec-exp` `1-exp`
28×	`cbrt-unprod`
25×	`associate-l`
20×	`unswap-sqr`
11×	`associate-/l*`
7×	`associate-/r*`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `associate-/r/` `*-commutative` `associate-/l/`

Counts

4 → 421

Calls

4 calls:

57.0ms	(* (/ (/ (* M D) d) l) (/ (/ 1 2) (/ 1 h)))
18.0ms	(/ (/ (* M D) d) l)
18.0ms	(/ d (* M D))
15.0ms	(/ (* M D) d)

series214.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (/ (/ (* M D) d) l) (/ (/ 1 2) (/ 1 h)))
33.0ms	(/ (/ (* M D) d) l)
33.0ms	(/ d (* M D))
33.0ms	(/ (* M D) d)

simplify1.5s

Counts

433 → 433

Iterations

Iter	Nodes
done	2000
1	2000
0	677

prune6.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 8.3b

localize67.0ms

Local error

Found 4 expressions with local error:

4.6b	(* (* (/ (/ (* M D) d) l) (/ (/ 1 (sqrt 2)) 1)) (/ (/ 1 (sqrt 2)) (/ 1 h)))
5.3b	(/ (/ (* M D) d) l)
7.4b	(/ d (* M D))
7.4b	(/ (* M D) d)

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

4107×	`add-exp-log`
2774×	`div-exp`
1397×	`prod-exp`
757×	`times-frac`
704×	`1-exp`
467×	`add-cbrt-cube`
432×	`rec-exp`
348×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
291×	`associate-r`
248×	`cbrt-undiv`
143×	`cbrt-unprod`
117×	`sqrt-prod`
43×	`div-inv`
11×	`associate-/l*`
9×	`pow1`
7×	`associate-/r*`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*r/`
1×	`associate-l` `associate-/r/` `*-commutative` `associate-/l/`

Counts

4 → 1105

Calls

4 calls:

150.0ms	(* (* (/ (/ (* M D) d) l) (/ (/ 1 (sqrt 2)) 1)) (/ (/ 1 (sqrt 2)) (/ 1 h)))
22.0ms	(/ (/ (* M D) d) l)
11.0ms	(/ d (* M D))
11.0ms	(/ (* M D) d)

series494.0ms

Counts

4 → 12

Calls

4 calls:

372.0ms	(* (* (/ (/ (* M D) d) l) (/ (/ 1 (sqrt 2)) 1)) (/ (/ 1 (sqrt 2)) (/ 1 h)))
42.0ms	(/ (/ (* M D) d) l)
25.0ms	(/ d (* M D))
55.0ms	(/ (* M D) d)

simplify28.5s

Counts

1117 → 1117

Iterations

Iter	Nodes
done	2000
1	2000
0	1470

prune22.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 8.3b

regimes654.0ms

Accuracy

0% (0.5b remaining)

Error of 8.4b against oracle of 7.9b and baseline of 8.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	27
1	27
0	20

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.8s	9348×	body	80	valid
553.0ms	2943×	body	80	nan