Details

sample89.0ms

Algorithm

intervals

Results

33.0ms	288×	body	80	valid
27.0ms	245×	body	80	nan

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	12
1	12
0	8

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.4b

localize41.0ms

Local error

Found 3 expressions with local error:

1.5b	(* c0 (sqrt (/ A (* V l))))
5.3b	(/ A (* V l))
19.9b	(sqrt (/ A (* V l)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`sqrt-prod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `associate-r` `add-exp-log`
9×	`times-frac`
6×	`pow1`
3×	`associate-l` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `sqrt-div` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`rem-sqrt-square` `clear-num` `associate-/r` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-r/` `*-commutative`

Counts

3 → 69

Calls

3 calls:

37.0ms	(* c0 (sqrt (/ A (* V l))))
15.0ms	(/ A (* V l))
12.0ms	(sqrt (/ A (* V l)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* c0 (sqrt (/ A (* V l))))
39.0ms	(/ A (* V l))
56.0ms	(sqrt (/ A (* V l)))

simplify744.0ms

Counts

78 → 78

Iterations

Iter	Nodes
3	2144
2	633
1	218
0	108

prune962.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt A)
1.5b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
2.9b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
19.9b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-exp-log`
26×	`associate-r`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`cbrt-prod`
11×	`pow1`
10×	`associate-l`
9×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `unswap-sqr`
6×	`sqrt-div` `associate-*r/`
4×	`insert-posit16` `add-log-exp`
3×	`frac-times` `pow-prod-down` `associate-*l/`
2×	`sqrt-pow1` `*-commutative` `sqrt-prod` `div-inv`
1×	`pow1/2` `pow1/3`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt A)
65.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
40.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
33.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt A)
85.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
74.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
82.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify3.3s

Counts

122 → 122

Iterations

Iter	Nodes
3	6884
2	1922
1	534
0	190

prune1.6s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 6.7b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt A)
1.0b	(* (/ (/ (cbrt A) (* (cbrt l) (cbrt l))) V) (cbrt A))
1.5b	(* c0 (sqrt (* (* (/ (/ (cbrt A) (* (cbrt l) (cbrt l))) V) (cbrt A)) (/ (cbrt A) (cbrt l)))))
19.9b	(sqrt (* (* (/ (/ (cbrt A) (* (cbrt l) (cbrt l))) V) (cbrt A)) (/ (cbrt A) (cbrt l))))

rewrite489.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
53×	`add-sqr-sqrt`
37×	`associate-l`
29×	`*-un-lft-identity` `add-cube-cbrt`
21×	`cbrt-prod`
20×	`add-exp-log`
14×	`pow1`
12×	`add-cbrt-cube`
10×	`associate-r`
9×	`unswap-sqr`
7×	`associate-*l/`
6×	`sqrt-div` `prod-exp` `cbrt-unprod`
5×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-*r/`
4×	`insert-posit16` `div-inv` `add-log-exp`
3×	`sqrt-pow1`
2×	`frac-times` `*-commutative` `sqrt-prod`
1×	`pow1/2` `pow1/3`

Counts

4 → 118

Calls

4 calls:

1.0ms	(cbrt A)
61.0ms	(* (/ (/ (cbrt A) (* (cbrt l) (cbrt l))) V) (cbrt A))
326.0ms	(* c0 (sqrt (* (* (/ (/ (cbrt A) (* (cbrt l) (cbrt l))) V) (cbrt A)) (/ (cbrt A) (cbrt l)))))
98.0ms	(sqrt (* (* (/ (/ (cbrt A) (* (cbrt l) (cbrt l))) V) (cbrt A)) (/ (cbrt A) (cbrt l))))

series577.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt A)
178.0ms	(* (/ (/ (cbrt A) (* (cbrt l) (cbrt l))) V) (cbrt A))
64.0ms	(* c0 (sqrt (* (* (/ (/ (cbrt A) (* (cbrt l) (cbrt l))) V) (cbrt A)) (/ (cbrt A) (cbrt l)))))
38.0ms	(sqrt (* (* (/ (/ (cbrt A) (* (cbrt l) (cbrt l))) V) (cbrt A)) (/ (cbrt A) (cbrt l))))

simplify3.8s

Counts

130 → 130

Iterations

Iter	Nodes
3	6221
2	1859
1	583
0	235

prune1.8s

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 5.2b

localize13.0ms

Local error

Found 3 expressions with local error:

1.5b	(* c0 (sqrt (/ (/ A V) l)))
4.0b	(/ (/ A V) l)
19.9b	(sqrt (/ (/ A V) l))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

213×	`times-frac`
134×	`add-sqr-sqrt`
117×	`*-un-lft-identity` `add-cube-cbrt`
89×	`sqrt-prod`
46×	`associate-r`
13×	`div-inv` `associate-/l*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`unswap-sqr`
3×	`cbrt-undiv` `rem-sqrt-square` `associate-/r` `div-exp` `associate-l*` `insert-posit16` `add-log-exp`
2×	`sqrt-div`
1×	`clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `associate-/l/`

Counts

3 → 194

Calls

3 calls:

16.0ms	(* c0 (sqrt (/ (/ A V) l)))
16.0ms	(/ (/ A V) l)
4.0ms	(sqrt (/ (/ A V) l))

series140.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* c0 (sqrt (/ (/ A V) l)))
23.0ms	(/ (/ A V) l)
40.0ms	(sqrt (/ (/ A V) l))

simplify1.8s

Counts

203 → 203

Iterations

Iter	Nodes
3	3327
2	1206
1	577
0	312

prune2.3s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.1b

regimes758.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	17
1	17
0	15

end0.0ms

sample2.5s

Algorithm

intervals

Results

939.0ms	8917×	body	80	valid
885.0ms	8895×	body	80	nan