Details

sample87.0ms

Algorithm

intervals

Results

34.0ms	283×	body	80	valid
27.0ms	298×	body	80	nan

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	12
1	12
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.2b

localize13.0ms

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)))

rewrite53.0ms

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` `insert-posit16` `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 → 75

Calls

3 calls:

37.0ms	(* c0 (sqrt (/ A (* V l))))
8.0ms	(/ A (* V l))
7.0ms	(sqrt (/ A (* V l)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* c0 (sqrt (/ A (* V l))))
22.0ms	(/ A (* V l))
43.0ms	(sqrt (/ A (* V l)))

simplify834.0ms

Counts

84 → 84

Iterations

Iter	Nodes
3	2325
2	667
1	224
0	114

prune1.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.0b

localize26.0ms

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)))

rewrite117.0ms

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` `insert-posit16` `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 → 118

Calls

4 calls:

1.0ms	(cbrt A)
61.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
29.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
23.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(cbrt A)
94.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
52.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
68.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify2.7s

Counts

130 → 130

Iterations

Iter	Nodes
3	6775
2	1887
1	542
0	198

prune1.6s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.7b

localize70.0ms

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)))

rewrite83.0ms

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×	`expm1-log1p-u` `frac-times` `sqrt-pow1` `pow-prod-down` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`pow1/2` `*-commutative` `sqrt-prod`

Counts

4 → 158

Calls

4 calls:

21.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
21.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
18.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
21.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
71.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
88.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
70.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify2.5s

Counts

170 → 170

Iterations

Iter	Nodes
3	5553
2	1566
1	430
0	152

prune2.9s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.7b

localize13.0ms

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))

rewrite51.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `rem-sqrt-square` `associate-/r` `div-exp` `associate-l*` `insert-posit16` `log1p-expm1-u` `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 → 200

Calls

3 calls:

28.0ms	(* c0 (sqrt (/ (/ A V) l)))
13.0ms	(/ (/ A V) l)
4.0ms	(sqrt (/ (/ A V) l))

series155.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* c0 (sqrt (/ (/ A V) l)))
35.0ms	(/ (/ A V) l)
47.0ms	(sqrt (/ (/ A V) l))

simplify1.5s

Counts

209 → 209

Iterations

Iter	Nodes
3	3390
2	1231
1	583
0	318

prune2.4s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.1b

regimes676.0ms

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

sample2.8s

Algorithm

intervals

Results

1.3s	8856×	body	80	valid
862.0ms	9130×	body	80	nan