Details

sample107.0ms

Algorithm

intervals

Results

46.0ms	302×	body	80	nan
32.0ms	278×	body	80	valid

simplify14.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

14.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize18.0ms

Local error

Found 3 expressions with local error:

15.4b	(sqrt (/ A (* V l)))
3.8b	(/ A (* V l))
0.9b	(* c0 (sqrt (/ A (* V l))))

rewrite39.0ms

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

21.0ms	(* c0 (sqrt (/ A (* V l))))
10.0ms	(sqrt (/ A (* V l)))
8.0ms	(/ A (* V l))

series145.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

86.0ms	(* c0 (sqrt (/ A (* V l))))
32.0ms	(sqrt (/ A (* V l)))
27.0ms	(/ A (* V l))

simplify1.3s

Counts

51 → 84

Calls

51 calls:

Slowest

312.0ms	(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* V l))) (sqrt (/ A (* V l)))) (sqrt (/ A (* V l)))))
220.0ms	(/ (* (* A A) A) (* (* (* V l) (* V l)) (* V l)))
105.0ms	(/ (* (* A A) A) (* (* (* V V) V) (* (* l l) l)))
44.0ms	(- (log A) (log (* V l)))
40.0ms	(* (sqrt c0) (sqrt (sqrt (/ A (* V l)))))

prune900.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.5b

localize25.0ms

Local error

Found 3 expressions with local error:

15.4b	(sqrt (/ A (* l V)))
3.8b	(/ A (* l V))
0.9b	(* c0 (sqrt (/ A (* l V))))

rewrite45.0ms

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

21.0ms	(* c0 (sqrt (/ A (* l V))))
13.0ms	(/ A (* l V))
10.0ms	(sqrt (/ A (* l V)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

81.0ms	(* c0 (sqrt (/ A (* l V))))
48.0ms	(sqrt (/ A (* l V)))
36.0ms	(/ A (* l V))

simplify1.1s

Counts

51 → 84

Calls

51 calls:

Slowest

220.0ms	(* (* (* c0 c0) c0) (* (* (sqrt (/ A (* l V))) (sqrt (/ A (* l V)))) (sqrt (/ A (* l V)))))
191.0ms	(/ (* (* A A) A) (* (* (* l V) (* l V)) (* l V)))
169.0ms	(/ (* (* A A) A) (* (* (* l l) l) (* (* V V) V)))
58.0ms	(- (log A) (+ (log l) (log V)))
38.0ms	(+ (log c0) (log (sqrt (/ A (* l V)))))

prune936.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.2b

localize30.0ms

Local error

Found 4 expressions with local error:

15.4b	(sqrt (/ A (* l V)))
15.4b	(sqrt (/ A (* l V)))
3.8b	(/ A (* l V))
3.8b	(/ A (* l V))

rewrite30.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `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 → 90

Calls

4 calls:

Slowest

8.0ms	(sqrt (/ A (* l V)))
8.0ms	(/ A (* l V))
7.0ms	(/ A (* l V))
5.0ms	(sqrt (/ A (* l V)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

52.0ms	(sqrt (/ A (* l V)))
44.0ms	(sqrt (/ A (* l V)))
35.0ms	(/ A (* l V))
33.0ms	(/ A (* l V))

simplify1.2s

Counts

56 → 102

Calls

56 calls:

Slowest

193.0ms	(/ (* (* A A) A) (* (* (* l V) (* l V)) (* l V)))
160.0ms	(/ (* (* A A) A) (* (* (* l V) (* l V)) (* l V)))
114.0ms	(/ (* (* A A) A) (* (* (* l l) l) (* (* V V) V)))
102.0ms	(/ (* (* A A) A) (* (* (* l l) l) (* (* V V) V)))
66.0ms	(- (log A) (+ (log l) (log V)))

prune1.5s

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 4.2b

localize61.0ms

Local error

Found 4 expressions with local error:

18.2b	(cbrt (/ A (* l V)))
18.2b	(cbrt (/ A (* l V)))
18.2b	(cbrt (/ A (* l V)))
15.4b	(sqrt (* (* (cbrt (/ A (* l V))) (cbrt (/ A (* l V)))) (cbrt (/ A (* l V)))))

rewrite74.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-*r/` `pow-sqr` `div-inv`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 91

Calls

4 calls:

Slowest

51.0ms	(sqrt (* (* (cbrt (/ A (* l V))) (cbrt (/ A (* l V)))) (cbrt (/ A (* l V)))))
7.0ms	(cbrt (/ A (* l V)))
7.0ms	(cbrt (/ A (* l V)))
7.0ms	(cbrt (/ A (* l V)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(cbrt (/ A (* l V)))
120.0ms	(cbrt (/ A (* l V)))
117.0ms	(cbrt (/ A (* l V)))
62.0ms	(sqrt (* (* (cbrt (/ A (* l V))) (cbrt (/ A (* l V)))) (cbrt (/ A (* l V)))))

simplify3.7s

Counts

59 → 103

Calls

59 calls:

Slowest

397.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
384.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
338.0ms	(* (exp (* 1/3 (- (+ (log (/ -1 V)) (log (/ -1 l))) (log (/ -1 A))))) (cbrt -1))
328.0ms	(* (* (/ A (* l V)) (/ A (* l V))) (/ A (* l V)))
257.0ms	(exp (* 1/3 (- (+ (log (/ 1 l)) (log (/ 1 V))) (log (/ 1 A)))))

prune1.7s

Pruning

16 alts after pruning (13 fresh and 3 done)

Merged error: 4.2b

regimes877.0ms

Accuracy

45.5% (7.9b remaining)

Error of 12.4b against oracle of 4.5b and baseline of 19.0b

bsearch9.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.3s	8983×	body	80	nan
960.0ms	8814×	body	80	valid