Details

sample193.0ms

Algorithm

intervals

Results

57.0ms	266×	body	80	nan
41.0ms	122×	body	320	valid
33.0ms	522×	pre	80	true
20.0ms	86×	body	160	valid
9.0ms	19×	body	640	valid
3.0ms	29×	body	80	valid

simplify138.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.3b

localize25.0ms

Local error

Found 4 expressions with local error:

24.4b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b	(* (* 3 a) c)
0.2b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.1b	(- (* b b) (* (* 3 a) c))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod` `insert-posit16`
3×	`flip3--` `associate-r` `pow-prod-down` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

4 → 79

Calls

4 calls:

Slowest

88.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
45.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
25.0ms	(* (* 3 a) c)
9.0ms	(- (* b b) (* (* 3 a) c))

series352.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

140.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
114.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
72.0ms	(- (* b b) (* (* 3 a) c))
27.0ms	(* (* 3 a) c)

simplify2.5s

Counts: 91 → 91

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.2b

localize9.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

Calls

0 calls:

Slowest

series0.0ms

Counts

0 → 0

Calls

0 calls:

Slowest

simplify0.0ms

Counts: 0 → 0

prune58.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.2b

localize30.0ms

Local error

Found 3 expressions with local error:

0.3b	(* -3/2 (/ (* a c) b))
0.3b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
0.3b	(/ (* a c) b)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`associate-l` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r/` `associate-/l`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 81

Calls

3 calls:

Slowest

26.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
17.0ms	(/ (* a c) b)
13.0ms	(* -3/2 (/ (* a c) b))

series120.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

50.0ms	(* -3/2 (/ (* a c) b))
37.0ms	(/ (* a c) b)
34.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify717.0ms

Counts: 90 → 90

prune906.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (/ (* (* -27/8 (* (/ a b) c)) (* (/ a b) c)) (/ (* (* 3 a) (* 3 a)) (* (/ a b) c))) (* 3 a)))
0.5b	(* (* 3 a) (* 3 a))
0.4b	(/ (/ (* (* -27/8 (* (/ a b) c)) (* (/ a b) c)) (/ (* (* 3 a) (* 3 a)) (* (/ a b) c))) (* 3 a))
0.4b	(/ (* (* 3 a) (* 3 a)) (* (/ a b) c))

rewrite451.0ms

Algorithm

rewrite-expression-head

Rules

4294×	`add-cbrt-cube` `add-exp-log`
2255×	`prod-exp` `cbrt-unprod`
1598×	`cbrt-undiv` `div-exp`
44×	`times-frac`
43×	`pow1`
17×	`pow-prod-down`
15×	`cbrt-prod`
12×	`associate-/l*`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`div-inv`
7×	`associate-/r/`
4×	`associate-*l/` `pow-sqr` `pow-prod-up` `insert-posit16` `add-log-exp`
2×	`clear-num` `associate-/r*` `frac-2neg` `pow-plus`
1×	`pow2` `cbrt-div` `pow1/3` `swap-sqr` `associate-r` `associate-l` `*-commutative` `associate-/l/`

Counts

4 → 976

Calls

4 calls:

Slowest

149.0ms	(/ (/ (* (* -27/8 (* (/ a b) c)) (* (/ a b) c)) (/ (* (* 3 a) (* 3 a)) (* (/ a b) c))) (* 3 a))
111.0ms	(cbrt (/ (/ (* (* -27/8 (* (/ a b) c)) (* (/ a b) c)) (/ (* (* 3 a) (* 3 a)) (* (/ a b) c))) (* 3 a)))
53.0ms	(/ (* (* 3 a) (* 3 a)) (* (/ a b) c))
23.0ms	(* (* 3 a) (* 3 a))

series388.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

162.0ms	(/ (/ (* (* -27/8 (* (/ a b) c)) (* (/ a b) c)) (/ (* (* 3 a) (* 3 a)) (* (/ a b) c))) (* 3 a))
131.0ms	(cbrt (/ (/ (* (* -27/8 (* (/ a b) c)) (* (/ a b) c)) (/ (* (* 3 a) (* 3 a)) (* (/ a b) c))) (* 3 a)))
48.0ms	(/ (* (* 3 a) (* 3 a)) (* (/ a b) c))
46.0ms	(* (* 3 a) (* 3 a))

simplify4.4s

Counts: 988 → 988

prune12.7s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.1b

regimes640.0ms

Accuracy

0% (3.4b remaining)

Error of 5.9b against oracle of 2.6b and baseline of 5.9b

bsearch1.0ms

end0.0ms

sample5.7s

Algorithm

intervals

Results

1.5s	3633×	body	320	valid
1.3s	15962×	pre	80	true
1.1s	7962×	body	80	nan
883.0ms	2943×	body	160	valid
321.0ms	539×	body	640	valid
99.0ms	885×	body	80	valid