Details

sample95.0ms

Algorithm

intervals

Results

34.0ms	283×	body	80	valid
31.0ms	298×	body	80	nan

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	12
1	12
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.2b

localize23.0ms

Local error

Found 3 expressions with local error:

1.5b	(* c0 (sqrt (/ A (* V l))))
6.0b	(/ A (* V l))
17.2b	(sqrt (/ A (* V l)))

rewrite52.0ms

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:

18.0ms	(* c0 (sqrt (/ A (* V l))))
24.0ms	(/ A (* V l))
9.0ms	(sqrt (/ A (* V l)))

series119.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* c0 (sqrt (/ A (* V l))))
20.0ms	(/ A (* V l))
34.0ms	(sqrt (/ A (* V l)))

simplify730.0ms

Counts

78 → 78

Iterations

Iter	Nodes
3	2144
2	633
1	218
0	108

prune868.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt A)
1.5b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
3.0b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
17.2b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite139.0ms

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)
76.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
38.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
24.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series542.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt A)
110.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
56.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
75.0ms	(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

prune1.3s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.7b

localize72.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
3.0b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
17.2b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
17.2b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
56×	`times-frac`
46×	`add-exp-log`
44×	`associate-r`
34×	`*-un-lft-identity` `add-cube-cbrt`
32×	`add-cbrt-cube`
22×	`cbrt-prod`
16×	`prod-exp` `cbrt-unprod`
14×	`pow1` `cbrt-undiv` `div-exp` `associate-l`
12×	`unswap-sqr`
6×	`sqrt-div`
4×	`frac-times` `sqrt-pow1` `pow-prod-down` `associate-l/` `associate-r/` `insert-posit16` `div-inv` `add-log-exp`
2×	`pow1/2` `*-commutative` `sqrt-prod`

Counts

4 → 150

Calls

4 calls:

42.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
41.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
31.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
26.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
72.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
63.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
74.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify2.2s

Counts

162 → 162

Iterations

Iter	Nodes
3	5558
2	1568
1	422
0	148

prune2.8s

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 5.7b

localize30.0ms

Local error

Found 3 expressions with local error:

1.5b	(* c0 (sqrt (/ (/ A V) l)))
4.9b	(/ (/ A V) l)
17.2b	(sqrt (/ (/ A V) l))

rewrite27.0ms

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:

13.0ms	(* c0 (sqrt (/ (/ A V) l)))
7.0ms	(/ (/ A V) l)
3.0ms	(sqrt (/ (/ A V) l))

series144.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* c0 (sqrt (/ (/ A V) l)))
21.0ms	(/ (/ A V) l)
62.0ms	(sqrt (/ (/ A V) l))

simplify1.3s

Counts

203 → 203

Iterations

Iter	Nodes
3	3327
2	1206
1	577
0	312

prune2.2s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.1b

regimes1.0s

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	17
1	17
0	15

end0.0ms

sample2.3s

Algorithm

intervals

Results

877.0ms	8856×	body	80	valid
855.0ms	9130×	body	80	nan