Details

sample46.0ms

Algorithm

intervals

Results

10.0ms	280×	body	80	valid
10.0ms	285×	body	80	nan

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
1	12
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.7b

localize28.0ms

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)))

rewrite43.0ms

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` `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 → 66

Calls

3 calls:

29.0ms	(* c0 (sqrt (/ A (* V l))))
6.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))

series171.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* c0 (sqrt (/ A (* V l))))
30.0ms	(/ A (* V l))
54.0ms	(sqrt (/ A (* V l)))

simplify1.4s

Counts

75 → 75

Iterations

Iter	Nodes
done	5003
3	2759
2	643
1	221
0	105

prune514.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.0b

localize30.0ms

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)))

rewrite173.0ms

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×	`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 → 106

Calls

4 calls:

1.0ms	(cbrt A)
89.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
62.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
18.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series487.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt A)
90.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
52.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
75.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify1.6s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	2139
1	538
0	186

prune718.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.5b

localize31.0ms

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))))

rewrite305.0ms

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×	`add-log-exp`
3×	`sqrt-pow1` `*-commutative` `div-inv`
2×	`sqrt-prod`
1×	`pow1/2`

Counts

4 → 183

Calls

4 calls:

67.0ms	(* (/ (cbrt A) 1) (* (/ (cbrt A) V) (/ (cbrt A) l)))
125.0ms	(* c0 (sqrt (* (/ (cbrt A) 1) (* (/ (cbrt A) V) (/ (cbrt A) l)))))
55.0ms	(* (/ (cbrt A) V) (/ (cbrt A) l))
45.0ms	(sqrt (* (/ (cbrt A) 1) (* (/ (cbrt A) V) (/ (cbrt A) l))))

series323.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (/ (cbrt A) 1) (* (/ (cbrt A) V) (/ (cbrt A) l)))
94.0ms	(* c0 (sqrt (* (/ (cbrt A) 1) (* (/ (cbrt A) V) (/ (cbrt A) l)))))
116.0ms	(* (/ (cbrt A) V) (/ (cbrt A) l))
62.0ms	(sqrt (* (/ (cbrt A) 1) (* (/ (cbrt A) V) (/ (cbrt A) l))))

simplify2.1s

Counts

195 → 195

Iterations

Iter	Nodes
done	5001
2	2601
1	854
0	278

prune1.5s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.5b

localize13.0ms

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)))

rewrite31.0ms

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` `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 → 66

Calls

3 calls:

18.0ms	(* c0 (sqrt (/ A (* l V))))
6.0ms	(/ A (* l V))
5.0ms	(sqrt (/ A (* l V)))

series119.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* c0 (sqrt (/ A (* l V))))
23.0ms	(/ A (* l V))
40.0ms	(sqrt (/ A (* l V)))

simplify1.4s

Counts

75 → 75

Iterations

Iter	Nodes
done	5081
3	2549
2	611
1	219
0	103

prune402.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.0b

regimes1.7s

Accuracy

43.6% (8.5b remaining)

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

bsearch2.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	42
1	42
0	34

end0.0ms

sample1.7s

Algorithm

intervals

Results

515.0ms	8917×	body	80	valid
395.0ms	9080×	body	80	nan