Details

sample140.0ms

Algorithm

intervals

Results

51.0ms	110×	body	320	valid
22.0ms	514×	pre	80	true
21.0ms	258×	body	80	nan
16.0ms	97×	body	160	valid
5.0ms	17×	body	640	valid
3.0ms	32×	body	80	valid

simplify121.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

120.0ms

(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.6b

localize31.0ms

Local error

Found 4 expressions with local error:

25.1b	(- (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))

rewrite161.0ms

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

91.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
38.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
15.0ms	(- (* b b) (* (* 3 a) c))
14.0ms	(* (* 3 a) c)

series395.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

163.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
128.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
75.0ms	(- (* b b) (* (* 3 a) c))
28.0ms	(* (* 3 a) c)

simplify12.0s

Counts

104 → 91

Calls

104 calls:

Slowest

598.0ms	(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
524.0ms	(* (* (* (* 3 a) c) (* (* 3 a) c)) (* (* 3 a) c))
463.0ms	(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
451.0ms	(exp (* (* 3 a) c))
418.0ms	(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.5b

localize12.0ms

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

Calls

0 calls:

Slowest

prune39.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
0.3b	(* -3/2 (/ (* a c) b))
0.2b	(/ (* a c) b)

rewrite55.0ms

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

22.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
18.0ms	(/ (* a c) b)
14.0ms	(* -3/2 (/ (* a c) b))

series86.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

35.0ms	(* -3/2 (/ (* a c) b))
29.0ms	(/ (* a c) b)
22.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify18.3s

Counts

96 → 90

Calls

96 calls:

Slowest

1.2s	(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.1s	(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.1s	(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
963.0ms	(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
927.0ms	(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune792.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.4b

localize13.0ms

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

Calls

0 calls:

Slowest

prune1.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 3.4b

regimes552.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch1.0ms

end0.0ms

sample5.9s

Algorithm

intervals

Results

1.6s	3600×	body	320	valid
1.4s	16155×	pre	80	true
1.2s	8155×	body	80	nan
776.0ms	2991×	body	160	valid
289.0ms	504×	body	640	valid
156.0ms	905×	body	80	valid