Details

sample61.0ms

Algorithm

intervals

Results

23.0ms	261×	body	80	nan
19.0ms	282×	body	80	valid

simplify28.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.4b

localize26.0ms

Local error

Found 3 expressions with local error:

15.8b	(sqrt (/ A (* V l)))
6.0b	(/ A (* V l))
1.5b	(* c0 (sqrt (/ A (* V l))))

rewrite47.0ms

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:

Slowest

23.0ms	(* c0 (sqrt (/ A (* V l))))
12.0ms	(/ A (* V l))
10.0ms	(sqrt (/ A (* V l)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

93.0ms	(* c0 (sqrt (/ A (* V l))))
36.0ms	(/ A (* V l))
35.0ms	(sqrt (/ A (* V l)))

simplify999.0ms

Counts: 84 → 84

prune991.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 6.8b

localize20.0ms

Local error

Found 3 expressions with local error:

15.8b	(sqrt (* (/ 1 V) (/ A l)))
5.2b	(* (/ 1 V) (/ A l))
1.5b	(* c0 (sqrt (* (/ 1 V) (/ A l))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
27×	`add-exp-log`
25×	`times-frac`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
17×	`add-cbrt-cube` `associate-r`
16×	`associate-l`
10×	`pow1`
9×	`prod-exp`
8×	`div-exp`
7×	`unswap-sqr`
6×	`sqrt-div` `associate-*r/`
5×	`cbrt-unprod`
4×	`cbrt-undiv`
3×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `sqrt-pow1` `1-exp` `*-commutative` `sqrt-prod` `div-inv`
1×	`pow1/2`

Counts

3 → 101

Calls

3 calls:

Slowest

28.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
13.0ms	(* (/ 1 V) (/ A l))
7.0ms	(sqrt (* (/ 1 V) (/ A l)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

74.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
72.0ms	(sqrt (* (/ 1 V) (/ A l)))
21.0ms	(* (/ 1 V) (/ A l))

simplify1.4s

Counts: 110 → 110

prune1.2s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 6.0b

localize24.0ms

Local error

Found 4 expressions with local error:

15.8b	(sqrt (* (/ 1 V) (/ A l)))
15.8b	(sqrt (* (/ 1 V) (/ A l)))
5.2b	(* (/ 1 V) (/ A l))
5.2b	(* (/ 1 V) (/ A l))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
50×	`times-frac`
48×	`add-exp-log`
36×	`*-un-lft-identity`
32×	`add-cube-cbrt`
28×	`add-cbrt-cube`
26×	`associate-r` `associate-l`
16×	`div-exp` `prod-exp`
14×	`pow1`
12×	`unswap-sqr`
8×	`cbrt-undiv` `cbrt-unprod`
6×	`sqrt-div`
4×	`expm1-log1p-u` `frac-times` `rec-exp` `sqrt-pow1` `1-exp` `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 → 152

Calls

4 calls:

Slowest

20.0ms	(* (/ 1 V) (/ A l))
18.0ms	(* (/ 1 V) (/ A l))
7.0ms	(sqrt (* (/ 1 V) (/ A l)))
7.0ms	(sqrt (* (/ 1 V) (/ A l)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

72.0ms	(sqrt (* (/ 1 V) (/ A l)))
71.0ms	(sqrt (* (/ 1 V) (/ A l)))
31.0ms	(* (/ 1 V) (/ A l))
27.0ms	(* (/ 1 V) (/ A l))

simplify1.3s

Counts: 164 → 164

prune2.4s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 6.0b

localize77.0ms

Local error

Found 4 expressions with local error:

15.8b	(sqrt (* (/ 1 V) (/ A l)))
15.8b	(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))
5.2b	(* (/ 1 V) (/ A l))
2.9b	(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

188×	`times-frac`
149×	`add-sqr-sqrt`
104×	`add-exp-log`
96×	`*-un-lft-identity`
95×	`associate-r`
89×	`add-cube-cbrt`
45×	`cbrt-prod`
41×	`div-exp`
40×	`add-cbrt-cube`
38×	`prod-exp`
21×	`unswap-sqr`
20×	`associate-l`
19×	`cbrt-undiv`
16×	`cbrt-unprod`
14×	`pow1`
10×	`div-inv`
8×	`rec-exp` `1-exp`
6×	`sqrt-div`
4×	`expm1-log1p-u` `frac-times` `sqrt-pow1` `pow-prod-down` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `*-commutative` `sqrt-prod`

Counts

4 → 242

Calls

4 calls:

Slowest

62.0ms	(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
42.0ms	(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))
18.0ms	(* (/ 1 V) (/ A l))
7.0ms	(sqrt (* (/ 1 V) (/ A l)))

series267.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

118.0ms	(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))
68.0ms	(sqrt (* (/ 1 V) (/ A l)))
54.0ms	(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
27.0ms	(* (/ 1 V) (/ A l))

simplify1.6s

Counts: 254 → 254

prune4.5s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 6.0b

regimes1.1s

Accuracy

40.8% (8.6b remaining)

Error of 13.1b against oracle of 4.6b and baseline of 19.0b

bsearch19.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.4s	8922×	body	80	valid
966.0ms	8905×	body	80	nan