Details

sample74.0ms

Algorithm

intervals

Results

40.0ms	284×	body	80	valid
8.0ms	88×	body	80	nan

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	596
2	95
1	38
0	17

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize29.0ms

Local error

Found 4 expressions with local error:

4.2b	(sqrt (- 1 (/ (* (/ (/ (* M D) 2) d) (/ (/ (* M D) 2) d)) (/ l h))))
5.5b	(/ (/ (* M D) 2) d)
5.5b	(/ (/ (* M D) 2) d)
11.6b	(/ (* (/ (/ (* M D) 2) d) (/ (/ (* M D) 2) d)) (/ l h))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

235×	`add-cbrt-cube` `add-exp-log`
141×	`cbrt-undiv` `div-exp`
103×	`times-frac`
63×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
51×	`add-cube-cbrt`
50×	`prod-exp` `cbrt-unprod`
19×	`associate-/r*`
15×	`associate-/l*`
13×	`div-inv`
10×	`sqrt-prod`
6×	`difference-of-squares`
5×	`pow1` `associate-/l/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
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 → 239

Calls

4 calls:

55.0ms	(sqrt (- 1 (/ (* (/ (/ (* M D) 2) d) (/ (/ (* M D) 2) d)) (/ l h))))
26.0ms	(/ (/ (* M D) 2) d)
26.0ms	(/ (/ (* M D) 2) d)
68.0ms	(/ (* (/ (/ (* M D) 2) d) (/ (/ (* M D) 2) d)) (/ l h))

series449.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(sqrt (- 1 (/ (* (/ (/ (* M D) 2) d) (/ (/ (* M D) 2) d)) (/ l h))))
36.0ms	(/ (/ (* M D) 2) d)
35.0ms	(/ (/ (* M D) 2) d)
176.0ms	(/ (* (/ (/ (* M D) 2) d) (/ (/ (* M D) 2) d)) (/ l h))

simplify3.2s

Counts

251 → 251

Iterations

Iter	Nodes
done	5001
2	4463
1	1076
0	386

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 8.2b

localize37.0ms

Local error

Found 4 expressions with local error:

5.5b	(/ (/ (* M D) 2) d)
5.5b	(/ (/ (* M D) 2) d)
5.6b	(/ (/ (/ (* M D) 2) d) (/ 1 h))
6.4b	(/ (/ (/ (* M D) 2) d) l)

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

1240×	`times-frac`
496×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
110×	`div-inv`
96×	`add-exp-log`
68×	`add-cbrt-cube`
64×	`associate-/l*`
63×	`div-exp`
41×	`cbrt-undiv`
22×	`associate-/r*`
7×	`prod-exp`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `pow1` `rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`associate-/r/`

Counts

4 → 629

Calls

4 calls:

30.0ms	(/ (/ (* M D) 2) d)
27.0ms	(/ (/ (* M D) 2) d)
58.0ms	(/ (/ (/ (* M D) 2) d) (/ 1 h))
27.0ms	(/ (/ (/ (* M D) 2) d) l)

series225.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (/ (* M D) 2) d)
35.0ms	(/ (/ (* M D) 2) d)
66.0ms	(/ (/ (/ (* M D) 2) d) (/ 1 h))
72.0ms	(/ (/ (/ (* M D) 2) d) l)

simplify2.5s

Counts

641 → 641

Iterations

Iter	Nodes
done	5003
1	2892
0	965

prune4.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 8.2b

localize50.0ms

Local error

Found 4 expressions with local error:

5.5b	(/ (/ (* M D) 2) d)
5.5b	(/ (/ (* M D) 2) d)
5.6b	(/ (/ (/ (* M D) 2) d) (/ 1 h))
6.0b	(/ l (/ (/ (* M D) 2) d))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

1240×	`times-frac`
496×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
110×	`div-inv`
96×	`add-exp-log`
68×	`add-cbrt-cube`
63×	`div-exp`
44×	`associate-/r*`
42×	`associate-/l*`
41×	`cbrt-undiv`
7×	`prod-exp`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `pow1` `rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l/`
2×	`associate-/r/`

Counts

4 → 629

Calls

4 calls:

27.0ms	(/ (/ (* M D) 2) d)
27.0ms	(/ (/ (* M D) 2) d)
65.0ms	(/ (/ (/ (* M D) 2) d) (/ 1 h))
15.0ms	(/ l (/ (/ (* M D) 2) d))

series291.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (/ (* M D) 2) d)
50.0ms	(/ (/ (* M D) 2) d)
89.0ms	(/ (/ (/ (* M D) 2) d) (/ 1 h))
98.0ms	(/ l (/ (/ (* M D) 2) d))

simplify2.7s

Counts

641 → 641

Iterations

Iter	Nodes
done	5001
1	3236
0	989

prune4.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 8.2b

localize69.0ms

Local error

Found 4 expressions with local error:

4.2b	(sqrt (- 1 (* (/ (/ (/ (* M D) 2) d) (/ 1 (* (cbrt h) (cbrt h)))) (/ (/ (/ (* M D) 2) d) (/ l (cbrt h))))))
5.5b	(/ (/ (* M D) 2) d)
5.5b	(/ (/ (* M D) 2) d)
8.8b	(/ (/ (/ (* M D) 2) d) (/ l (cbrt h)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

1774×	`times-frac`
698×	`add-sqr-sqrt`
697×	`*-un-lft-identity` `add-cube-cbrt`
234×	`cbrt-prod`
129×	`div-inv`
54×	`add-exp-log`
50×	`add-cbrt-cube`
39×	`associate-/l*`
32×	`cbrt-undiv` `div-exp`
28×	`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` `associate-/l/`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `flip--`

Counts

4 → 748

Calls

4 calls:

7.0ms	(sqrt (- 1 (* (/ (/ (/ (* M D) 2) d) (/ 1 (* (cbrt h) (cbrt h)))) (/ (/ (/ (* M D) 2) d) (/ l (cbrt h))))))
14.0ms	(/ (/ (* M D) 2) d)
14.0ms	(/ (/ (* M D) 2) d)
48.0ms	(/ (/ (/ (* M D) 2) d) (/ l (cbrt h)))

series599.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(sqrt (- 1 (* (/ (/ (/ (* M D) 2) d) (/ 1 (* (cbrt h) (cbrt h)))) (/ (/ (/ (* M D) 2) d) (/ l (cbrt h))))))
52.0ms	(/ (/ (* M D) 2) d)
32.0ms	(/ (/ (* M D) 2) d)
244.0ms	(/ (/ (/ (* M D) 2) d) (/ l (cbrt h)))

simplify3.1s

Counts

760 → 760

Iterations

Iter	Nodes
done	5001
1	3913
0	1201

prune7.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.6b

regimes1.1s

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s	9252×	body	80	valid
384.0ms	3150×	body	80	nan