Details

sample159.0ms

Algorithm

intervals

Results

43.0ms	288×	body	80	nan
42.0ms	145×	body	160	valid
33.0ms	544×	pre	80	true
17.0ms	111×	body	80	valid

simplify124.0ms

Calls

1 calls:

Slowest

124.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.8b

localize20.0ms

Local error

Found 4 expressions with local error:

27.6b	(- (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)))

rewrite67.0ms

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

47.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
15.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
2.0ms	(- (* b b) (* (* c a) 4))
2.0ms	(sqrt (- (* b b) (* (* c a) 4)))

series201.0ms

Calls

4 calls:

Slowest

63.0ms	(sqrt (- (* b b) (* (* c a) 4)))
56.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
51.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)
31.0ms	(- (* b b) (* (* c a) 4))

simplify3.8s

Calls

32 calls:

Slowest

534.0ms	(- (* (sqrt (- (* b b) (* (* c a) 4))) (sqrt (- (* b b) (* (* c a) 4)))) (* b b))
518.0ms	(sqrt (- (pow (* b b) 3) (pow (* (* c a) 4) 3)))
283.0ms	(sqrt (- (* (* b b) (* b b)) (* (* (* c a) 4) (* (* c a) 4))))
257.0ms	(- (pow (sqrt (- (* b b) (* (* c a) 4))) 3) (pow b 3))
254.0ms	(- b (* 2 (/ (* a c) b)))

prune837.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 10.2b

localize9.0ms

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

prune82.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 10.2b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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

4.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
2.0ms	(/ (* a c) b)

series36.0ms

Calls

2 calls:

Slowest

21.0ms	(/ (* a c) b)
15.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify1.2s

Calls

11 calls:

Slowest

804.0ms	(/ (* (* (* -2 (/ (* a c) b)) (* -2 (/ (* a c) b))) (* -2 (/ (* a c) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
169.0ms	(/ (/ (* a c) b) a)
106.0ms	(- (log (* -2 (/ (* a c) b))) (log (* 2 a)))
28.0ms	(* -2 (* a c))
25.0ms	(* -1 (/ c b))

prune374.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 10.2b

localize15.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ (* -2 (* a c)) (* (* 2 a) b))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

11.0ms

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

series13.0ms

Calls

1 calls:

Slowest

13.0ms

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

simplify1.9s

Calls

7 calls:

Slowest

1.7s	(/ (* (* (* -2 (* a c)) (* -2 (* a c))) (* -2 (* a c))) (* (* (* (* 2 a) b) (* (* 2 a) b)) (* (* 2 a) b)))
128.0ms	(- (log (* -2 (* a c))) (log (* (* 2 a) b)))
27.0ms	(/ -2 (* 2 a))
24.0ms	(* -1 (/ c b))
21.0ms	(/ (* a c) b)

prune155.0ms

Pruning

27 alts after pruning (25 fresh and 2 done)

Merged error: 10.1b

regimes538.0ms

Accuracy

47.2% (7.3b remaining)

Error of 16.4b against oracle of 9.1b and baseline of 22.9b

bsearch30.0ms

end0.0ms

sample5.3s

Algorithm

intervals

Results

1.3s	4465×	body	160	valid
1.3s	8622×	body	80	nan
1.3s	16622×	pre	80	true
991.0ms	3535×	body	80	valid