Details

sample94.0ms

Algorithm

intervals

Results

36.0ms	277×	body	80	nan
30.0ms	298×	body	80	valid

simplify30.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.1b

localize17.0ms

Local error

Found 3 expressions with local error:

18.5b	(sqrt (/ A (* V l)))
6.5b	(/ A (* V l))
1.9b	(* c0 (sqrt (/ A (* V l))))

rewrite40.0ms

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

17.0ms	(* c0 (sqrt (/ A (* V l))))
17.0ms	(/ A (* V l))
6.0ms	(sqrt (/ A (* V l)))

series135.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

71.0ms	(* c0 (sqrt (/ A (* V l))))
34.0ms	(sqrt (/ A (* V l)))
30.0ms	(/ A (* V l))

simplify1.0s

Counts: 84 → 84

prune1.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.1b

localize28.0ms

Local error

Found 3 expressions with local error:

18.5b	(sqrt (* (/ 1 V) (/ A l)))
3.0b	(* (/ 1 V) (/ A l))
1.9b	(* c0 (sqrt (* (/ 1 V) (/ A l))))

rewrite63.0ms

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

35.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
16.0ms	(* (/ 1 V) (/ A l))
9.0ms	(sqrt (* (/ 1 V) (/ A l)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

96.0ms	(sqrt (* (/ 1 V) (/ A l)))
56.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
22.0ms	(* (/ 1 V) (/ A l))

simplify1.4s

Counts: 110 → 110

prune1.1s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.3b

localize38.0ms

Local error

Found 4 expressions with local error:

18.5b	(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))
1.9b	(* c0 (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))))
1.6b	(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
1.6b	(/ (/ A l) (cbrt V))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

304×	`times-frac`
199×	`add-sqr-sqrt`
159×	`*-un-lft-identity`
154×	`add-cube-cbrt`
89×	`add-exp-log`
87×	`cbrt-prod`
86×	`associate-r`
36×	`div-exp`
33×	`add-cbrt-cube`
31×	`prod-exp`
18×	`cbrt-undiv`
16×	`div-inv` `unswap-sqr`
13×	`cbrt-unprod` `associate-/l*`
11×	`pow1`
10×	`associate-l`
6×	`rec-exp` `associate-/r` `sqrt-div` `1-exp` `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`
1×	`clear-num` `frac-2neg` `pow1/2` `associate-/l/`

Counts

4 → 306

Calls

4 calls:

Slowest

112.0ms	(* c0 (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))))
62.0ms	(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
44.0ms	(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))
14.0ms	(/ (/ A l) (cbrt V))

series405.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

118.0ms	(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))
118.0ms	(* c0 (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))))
107.0ms	(/ (/ A l) (cbrt V))
61.0ms	(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))

simplify623.0ms

Counts: 318 → 318

prune4.0s

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 4.3b

localize32.0ms

Local error

Found 4 expressions with local error:

15.5b	(sqrt (/ (/ A l) (cbrt V)))
1.9b	(* c0 (* (sqrt (/ 1 (* (cbrt V) (cbrt V)))) (sqrt (/ (/ A l) (cbrt V)))))
1.6b	(/ (/ A l) (cbrt V))
0.5b	(cbrt V)

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
163×	`add-sqr-sqrt`
152×	`*-un-lft-identity` `add-cube-cbrt`
86×	`cbrt-prod`
82×	`sqrt-prod`
15×	`div-inv`
14×	`add-exp-log`
13×	`associate-/l*`
12×	`add-cbrt-cube`
10×	`pow1`
6×	`associate-/r*`
5×	`rem-sqrt-square` `sqrt-div`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`frac-times` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `pow1/3` `associate-r` `associate-l/` `-commutative` `associate-/l/`

Counts

4 → 253

Calls

4 calls:

Slowest

173.0ms	(* c0 (* (sqrt (/ 1 (* (cbrt V) (cbrt V)))) (sqrt (/ (/ A l) (cbrt V)))))
10.0ms	(sqrt (/ (/ A l) (cbrt V)))
8.0ms	(/ (/ A l) (cbrt V))
1.0ms	(cbrt V)

series675.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

285.0ms	(cbrt V)
145.0ms	(sqrt (/ (/ A l) (cbrt V)))
129.0ms	(* c0 (* (sqrt (/ 1 (* (cbrt V) (cbrt V)))) (sqrt (/ (/ A l) (cbrt V)))))
115.0ms	(/ (/ A l) (cbrt V))

simplify1.4s

Counts: 265 → 265

prune3.8s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 1.7b

regimes1.2s

Accuracy

0% (1.0b remaining)

Error of 2.4b against oracle of 1.3b and baseline of 2.4b

bsearch6.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

867.0ms	9176×	body	80	nan
803.0ms	8905×	body	80	valid