Details

sample140.0ms

Algorithm

intervals

Results

52.0ms	144×	body	160	valid
31.0ms	271×	body	80	nan
27.0ms	527×	pre	80	true
13.0ms	112×	body	80	valid

simplify118.0ms

Calls

1 calls:

Slowest

118.0ms

(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize34.0ms

Local error

Found 4 expressions with local error:

27.8b	(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.3b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
0.2b	(- (* b b) (* (* c a) 4))
0.1b	(sqrt (- (* b b) (* (* c a) 4)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`pow1` `flip3--` `insert-posit16` `flip--`
3×	`times-frac` `sqrt-prod` `associate-/l*`
2×	`sub-neg` `sqrt-div` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `associate-/r*` `frac-2neg` `pow1/2` `diff-log` `div-sub` `div-exp` `div-inv`

Calls

4 calls:

Slowest

52.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
18.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
5.0ms	(- (* b b) (* (* c a) 4))
5.0ms	(sqrt (- (* b b) (* (* c a) 4)))

series235.0ms

Calls

4 calls:

Slowest

73.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
63.0ms	(sqrt (- (* b b) (* (* c a) 4)))
59.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
40.0ms	(- (* b b) (* (* c a) 4))

simplify3.7s

Calls

32 calls:

Slowest

572.0ms	(- (* (sqrt (- (* b b) (* (* c a) 4))) (sqrt (- (* b b) (* (* c a) 4)))) (* b b))
507.0ms	(sqrt (- (pow (* b b) 3) (pow (* (* c a) 4) 3)))
336.0ms	(- (pow (sqrt (- (* b b) (* (* c a) 4))) 3) (pow b 3))
280.0ms	(- b (* 2 (/ (* a c) b)))
213.0ms	(/ (* (* (- (sqrt (- (* b b) (* (* c a) 4))) b) (- (sqrt (- (* b b) (* (* c a) 4))) b)) (- (sqrt (- (* b b) (* (* c a) 4))) b)) (* (* (* 2 a) (* 2 a)) (* 2 a)))

prune760.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.7b

localize5.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Calls

0 calls:

Slowest

series0.0ms

Calls

0 calls:

Slowest

simplify0.0ms

Calls

0 calls:

Slowest

prune88.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.7b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-cbrt-cube` `add-exp-log`
2×	`add-sqr-sqrt` `pow1` `clear-num` `frac-2neg` `-un-lft-identity` `add-cube-cbrt` `insert-posit16` `div-inv` `associate-/l` `add-log-exp`
1×	`cbrt-undiv` `associate-/r` `times-frac` `div-exp` `associate-r/` `associate-/l/`

Calls

2 calls:

Slowest

9.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
5.0ms	(/ (* a c) b)

series49.0ms

Calls

2 calls:

Slowest

25.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
24.0ms	(/ (* a c) b)

simplify1.4s

Calls

11 calls:

Slowest

881.0ms	(/ (* (* (* -2 (/ (* a c) b)) (* -2 (/ (* a c) b))) (* -2 (/ (* a c) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
181.0ms	(- (log (* -2 (/ (* a c) b))) (log (* 2 a)))
178.0ms	(/ (/ (* a c) b) a)
26.0ms	(* -1 (/ c b))
25.0ms	(* -1 (/ c b))

prune323.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 9.6b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

13×	`associate-/r*`
8×	`times-frac`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `div-inv`
5×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `clear-num` `frac-2neg` `associate-/r/` `insert-posit16` `add-log-exp`
2×	`associate-/l*`
1×	`cbrt-undiv` `div-exp`

Calls

3 calls:

Slowest

4.0ms	(/ (* 2 a) (/ (* a c) b))
3.0ms	(/ (* a c) b)
1.0ms	(/ -2 (/ (* 2 a) (/ (* a c) b)))

series42.0ms

Calls

3 calls:

Slowest

15.0ms	(/ (* a c) b)
14.0ms	(/ (* 2 a) (/ (* a c) b))
13.0ms	(/ -2 (/ (* 2 a) (/ (* a c) b)))

simplify1.9s

Calls

32 calls:

Slowest

273.0ms	(/ (* (* (* 2 a) (* 2 a)) (* 2 a)) (* (* (/ (* a c) b) (/ (* a c) b)) (/ (* a c) b)))
236.0ms	(/ (* 2 a) (/ (* a c) b))
210.0ms	(cbrt (/ (* 2 a) (/ (* a c) b)))
207.0ms	(- (log (* 2 a)) (log (/ (* a c) b)))
171.0ms	(sqrt (/ (* 2 a) (/ (* a c) b)))

prune471.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 9.6b

regimes710.0ms

Accuracy

46.4% (7.3b remaining)

Error of 16.5b against oracle of 9.2b and baseline of 22.7b

bsearch39.0ms

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.9s	4448×	body	160	valid
1.3s	8988×	body	80	nan
993.0ms	16988×	pre	80	true
457.0ms	3552×	body	80	valid