Details

sample201.0ms

Algorithm

intervals

Results

48.0ms	238×	body	80	nan
47.0ms	121×	body	320	valid
33.0ms	494×	pre	80	true
27.0ms	91×	body	160	valid
10.0ms	18×	body	640	valid
4.0ms	26×	body	80	valid

simplify177.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

177.0ms

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.2b

localize36.0ms

Local error

Found 4 expressions with local error:

25.4b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.2b	(* (* 3 a) c)
0.2b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.1b	(- (* b b) (* (* 3 a) c))

rewrite146.0ms

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))
32.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
13.0ms	(* (* 3 a) c)
9.0ms	(- (* b b) (* (* 3 a) c))

series346.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

143.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
108.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
59.0ms	(- (* b b) (* (* 3 a) c))
35.0ms	(* (* 3 a) c)

simplify11.8s

Counts

104 → 91

Calls

104 calls:

Slowest

671.0ms	(* (* (* (* 3 a) c) (* (* 3 a) c)) (* (* 3 a) c))
591.0ms	(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
493.0ms	(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
469.0ms	(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
384.0ms	(- (* (* b b) (* b b)) (* (* (* 3 a) c) (* (* 3 a) c)))

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.5b

localize6.0ms

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

prune24.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.5b

localize18.0ms

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)

rewrite83.0ms

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

40.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
24.0ms	(* -3/2 (/ (* a c) b))
18.0ms	(/ (* a c) b)

series103.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

38.0ms	(* -3/2 (/ (* a c) b))
37.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))
29.0ms	(/ (* a c) b)

simplify18.8s

Counts

96 → 90

Calls

96 calls:

Slowest

1.3s	(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.3s	(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.3s	(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
1.1s	(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
975.0ms	(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune798.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (/ -2 (/ c b)))
0.2b	(/ -2 (/ c b))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

471×	`times-frac`
229×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
57×	`associate-/r*`
28×	`add-exp-log`
22×	`div-inv`
18×	`div-exp`
16×	`add-cbrt-cube`
9×	`cbrt-undiv`
6×	`associate-/r/` `associate-/l*`
3×	`pow1` `rec-exp` `1-exp`
2×	`clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 276

Calls

2 calls:

Slowest

8.0ms	(/ 1 (/ -2 (/ c b)))
5.0ms	(/ -2 (/ c b))

series41.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

22.0ms	(/ 1 (/ -2 (/ c b)))
19.0ms	(/ -2 (/ c b))

simplify45.4s

Counts

454 → 282

Calls

454 calls:

Slowest

1.1s	(* (* (/ 1 (/ -2 (/ c b))) (/ 1 (/ -2 (/ c b)))) (/ 1 (/ -2 (/ c b))))
678.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ 1 (/ (* (cbrt c) (cbrt c)) (* (cbrt b) (cbrt b)))))
672.0ms	(/ (* (* 1 1) 1) (* (* (/ -2 (/ c b)) (/ -2 (/ c b))) (/ -2 (/ c b))))
623.0ms	(/ (sqrt 1) (/ 1 (/ (* (cbrt c) (cbrt c)) (* (cbrt b) (cbrt b)))))
578.0ms	(/ (sqrt 1) (/ (* (cbrt -2) (cbrt -2)) (/ (* (cbrt c) (cbrt c)) (sqrt b))))

prune2.1s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.5b

regimes525.0ms

Accuracy

0% (3.4b remaining)

Error of 6.0b against oracle of 2.6b and baseline of 6.0b

bsearch2.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

1.7s	3730×	body	320	valid
1.4s	8008×	body	80	nan
956.0ms	16008×	pre	80	true
785.0ms	2853×	body	160	valid
751.0ms	506×	body	640	valid
169.0ms	911×	body	80	valid