Details

sample95.0ms

Algorithm

intervals

Results

38.0ms	347×	body	80	nan
31.0ms	283×	body	80	valid

simplify29.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

29.0ms

(* c0 (sqrt (/ A (* V l))))

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize24.0ms

Local error

Found 3 expressions with local error:

13.6b	(sqrt (/ A (* V l)))
2.9b	(/ A (* V l))
1.4b	(* c0 (sqrt (/ A (* V l))))

rewrite55.0ms

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` `insert-posit16` `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 → 69

Calls

3 calls:

Slowest

32.0ms	(* c0 (sqrt (/ A (* V l))))
12.0ms	(/ A (* V l))
9.0ms	(sqrt (/ A (* V l)))

series151.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

61.0ms	(* c0 (sqrt (/ A (* V l))))
57.0ms	(sqrt (/ A (* V l)))
33.0ms	(/ A (* V l))

simplify1.2s

Counts

51 → 78

Calls

51 calls:

Slowest

244.0ms	(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
159.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
153.0ms	(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
48.0ms	(- (log A) (+ (log V) (log l)))
43.0ms	(- (log A) (log (* V l)))

prune910.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.5b

localize24.0ms

Local error

Found 3 expressions with local error:

13.6b	(sqrt (/ A (* l V)))
2.9b	(/ A (* l V))
1.4b	(* c0 (sqrt (/ A (* l V))))

rewrite57.0ms

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` `insert-posit16` `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 → 69

Calls

3 calls:

Slowest

33.0ms	(* c0 (sqrt (/ A (* l V))))
13.0ms	(/ A (* l V))
9.0ms	(sqrt (/ A (* l V)))

series170.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

71.0ms	(* c0 (sqrt (/ A (* l V))))
62.0ms	(sqrt (/ A (* l V)))
37.0ms	(/ A (* l V))

simplify1.1s

Counts

51 → 78

Calls

51 calls:

Slowest

270.0ms	(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* l V))) (sqrt (/ A (* l V)))) (sqrt (/ A (* l V)))))
140.0ms	(/ (* (* A A) A) (* (* (* l V) (* l V)) (* l V)))
102.0ms	(/ (* (* A A) A) (* (* (* l l) l) (* (* V V) V)))
44.0ms	(- (log A) (+ (log l) (log V)))
35.0ms	(* (sqrt c0) (sqrt (sqrt (/ A (* l V)))))

prune828.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 3.6b

localize19.0ms

Local error

Found 4 expressions with local error:

13.6b	(sqrt (/ A (* V l)))
13.6b	(sqrt (/ A (* V l)))
2.9b	(/ A (* V l))
2.9b	(/ A (* V l))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
12×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
6×	`pow1` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `div-inv` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `associate-/r*` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `prod-exp` `cbrt-unprod`

Counts

4 → 82

Calls

4 calls:

Slowest

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

series143.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

48.0ms	(sqrt (/ A (* V l)))
39.0ms	(sqrt (/ A (* V l)))
34.0ms	(/ A (* V l))
21.0ms	(/ A (* V l))

simplify1.1s

Counts

56 → 94

Calls

56 calls:

Slowest

163.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
139.0ms	(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
138.0ms	(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
133.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
57.0ms	(- (log A) (log (* V l)))

prune1.4s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.6b

localize41.0ms

Local error

Found 4 expressions with local error:

16.3b	(cbrt (/ A (* V l)))
16.3b	(cbrt (/ A (* V l)))
16.3b	(cbrt (/ A (* V l)))
13.6b	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
21×	`cbrt-prod`
15×	`cbrt-div` `sqrt-pow1`
12×	`pow1/3`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac` `pow-prod-up`
7×	`sqrt-div`
6×	`pow-plus`
5×	`frac-times` `pow-prod-down` `associate-*l/`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`associate-*r/` `pow-sqr` `div-inv`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 83

Calls

4 calls:

Slowest

42.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
3.0ms	(cbrt (/ A (* V l)))
3.0ms	(cbrt (/ A (* V l)))
3.0ms	(cbrt (/ A (* V l)))

series403.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

127.0ms	(cbrt (/ A (* V l)))
118.0ms	(cbrt (/ A (* V l)))
94.0ms	(cbrt (/ A (* V l)))
64.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))

simplify3.7s

Counts

59 → 95

Calls

59 calls:

Slowest

422.0ms	(* (* (/ A (* V l)) (/ A (* V l))) (/ A (* V l)))
399.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
365.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
360.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
224.0ms	(exp (* 1/3 (- (log A) (+ (log l) (log V)))))

prune1.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.6b

regimes790.0ms

Accuracy

30% (10.7b remaining)

Error of 14.4b against oracle of 3.7b and baseline of 18.9b

bsearch5.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s	8901×	body	80	valid
815.0ms	8830×	body	80	nan