Details

sample52.0ms

Algorithm

intervals

Results

13.0ms	285×	body	80	nan
13.0ms	280×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
1	12
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.7b

localize27.0ms

Local error

Found 3 expressions with local error:

1.3b	(* c0 (sqrt (/ A (* V l))))
4.9b	(/ A (* V l))
15.3b	(sqrt (/ A (* V l)))

rewrite77.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `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 → 72

Calls

3 calls:

37.0ms	(* c0 (sqrt (/ A (* V l))))
12.0ms	(/ A (* V l))
24.0ms	(sqrt (/ A (* V l)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* c0 (sqrt (/ A (* V l))))
31.0ms	(/ A (* V l))
57.0ms	(sqrt (/ A (* V l)))

simplify1.6s

Counts

81 → 81

Iterations

Iter	Nodes
done	5050
3	2877
2	681
1	225
0	111

prune454.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt A)
1.3b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
3.3b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
15.3b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite157.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 114

Calls

4 calls:

1.0ms	(cbrt A)
96.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
33.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
23.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series781.0ms

Counts

4 → 12

Calls

4 calls:

535.0ms	(cbrt A)
94.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
59.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
92.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify1.7s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
2	2008
1	544
0	194

prune858.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.5b

localize55.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ (cbrt A) 1) (* (/ (cbrt A) V) (/ (cbrt A) l)))
1.3b	(* c0 (sqrt (* (/ (cbrt A) 1) (* (/ (cbrt A) V) (/ (cbrt A) l)))))
2.1b	(* (/ (cbrt A) V) (/ (cbrt A) l))
15.3b	(sqrt (* (/ (cbrt A) 1) (* (/ (cbrt A) V) (/ (cbrt A) l))))

rewrite404.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt` `add-exp-log`
66×	`times-frac`
47×	`associate-l`
45×	`*-un-lft-identity` `add-cube-cbrt`
42×	`add-cbrt-cube`
33×	`cbrt-prod`
32×	`prod-exp`
27×	`associate-r`
26×	`div-exp`
23×	`associate-*r/` `cbrt-unprod`
19×	`pow1`
17×	`cbrt-undiv`
16×	`frac-times`
14×	`sqrt-div`
10×	`associate-*l/` `unswap-sqr`
8×	`pow-prod-down`
5×	`1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1` `*-commutative` `div-inv`
2×	`sqrt-prod`
1×	`pow1/2`

Counts

4 → 191

Calls

4 calls:

79.0ms	(* (/ (cbrt A) 1) (* (/ (cbrt A) V) (/ (cbrt A) l)))
185.0ms	(* c0 (sqrt (* (/ (cbrt A) 1) (* (/ (cbrt A) V) (/ (cbrt A) l)))))
63.0ms	(* (/ (cbrt A) V) (/ (cbrt A) l))
64.0ms	(sqrt (* (/ (cbrt A) 1) (* (/ (cbrt A) V) (/ (cbrt A) l))))

series361.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (/ (cbrt A) 1) (* (/ (cbrt A) V) (/ (cbrt A) l)))
102.0ms	(* c0 (sqrt (* (/ (cbrt A) 1) (* (/ (cbrt A) V) (/ (cbrt A) l)))))
121.0ms	(* (/ (cbrt A) V) (/ (cbrt A) l))
76.0ms	(sqrt (* (/ (cbrt A) 1) (* (/ (cbrt A) V) (/ (cbrt A) l))))

simplify1.8s

Counts

203 → 203

Iterations

Iter	Nodes
done	5001
2	2564
1	851
0	286

prune1.4s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.5b

localize27.0ms

Local error

Found 3 expressions with local error:

1.3b	(* c0 (sqrt (/ A (* l V))))
4.9b	(/ A (* l V))
15.3b	(sqrt (/ A (* l V)))

rewrite68.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `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 → 72

Calls

3 calls:

36.0ms	(* c0 (sqrt (/ A (* l V))))
12.0ms	(/ A (* l V))
16.0ms	(sqrt (/ A (* l V)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* c0 (sqrt (/ A (* l V))))
36.0ms	(/ A (* l V))
40.0ms	(sqrt (/ A (* l V)))

simplify1.6s

Counts

81 → 81

Iterations

Iter	Nodes
done	5104
3	2595
2	634
1	223
0	109

prune497.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.0b

regimes1.6s

Accuracy

43.6% (8.5b remaining)

Error of 12.6b against oracle of 4.0b and baseline of 19.2b

bsearch3.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	42
1	42
0	34

end0.0ms

sample1.8s

Algorithm

intervals

Results

524.0ms	8917×	body	80	valid
494.0ms	9080×	body	80	nan