Details

Time bar (total: 1.0m)

sample170.0ms

Algorithm
intervals
Results
60.0ms144×body160valid
36.0ms275×body80nan
31.0ms531×pre80true
15.0ms112×body80valid

simplify173.0ms

Calls
1 calls:
Slowest
173.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize42.0ms

Local error

Found 4 expressions with local error:

29.1b
(- (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)))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- insert-posit16 flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp cbrt-unprod div-inv
Calls
4 calls:
Slowest
88.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
45.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
13.0ms
(- (* b b) (* (* c a) 4))
10.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series373.0ms

Calls
4 calls:
Slowest
118.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
110.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
92.0ms
(sqrt (- (* b b) (* (* c a) 4)))
52.0ms
(- (* b b) (* (* c a) 4))

simplify5.5s

Calls
49 calls:
Slowest
568.0ms
(- (* (sqrt (- (* b b) (* (* c a) 4))) (sqrt (- (* b b) (* (* c a) 4)))) (* b b))
360.0ms
(- (pow (sqrt (- (* b b) (* (* c a) 4))) 3) (pow b 3))
350.0ms
(/ (* (* (- (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)))
288.0ms
(sqrt (- (* (* b b) (* b b)) (* (* (* c a) 4) (* (* c a) 4))))
244.0ms
(- b (* 2 (/ (* a c) b)))

prune1.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.7b

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

prune69.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.7b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
39×add-cbrt-cube add-exp-log
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
4×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Calls
2 calls:
Slowest
18.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
17.0ms
(/ (* a c) b)

series52.0ms

Calls
2 calls:
Slowest
28.0ms
(/ (* a c) b)
24.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify12.1s

Calls
37 calls:
Slowest
1.4s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
1.4s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 2 2) 2) (* (* a a) a)))
1.3s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 2 2) 2) (* (* a a) a)))
1.3s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
1.0s
(/ (* (* (* -2 (/ (* a c) b)) (* -2 (/ (* a c) b))) (* -2 (/ (* a c) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))

prune572.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 8.7b

localize19.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (* a c) (/ 1 b))
0.3b
(/ (* -2 (* (* a c) (/ 1 b))) (* 2 a))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
120×add-exp-log
70×add-cbrt-cube
64×prod-exp
34×cbrt-unprod
32×div-exp
18×cbrt-undiv
13×associate-*r*
10×times-frac
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×pow1
6×rec-exp 1-exp
4×associate-*r/
3×pow-prod-down
2×un-div-inv insert-posit16 div-inv add-log-exp associate-/l/
1×clear-num associate-/r* frac-2neg associate-*l* *-commutative associate-/l*
Calls
2 calls:
Slowest
53.0ms
(/ (* -2 (* (* a c) (/ 1 b))) (* 2 a))
31.0ms
(* (* a c) (/ 1 b))

series51.0ms

Calls
2 calls:
Slowest
30.0ms
(* (* a c) (/ 1 b))
21.0ms
(/ (* -2 (* (* a c) (/ 1 b))) (* 2 a))

simplify35.3s

Calls
69 calls:
Slowest
2.3s
(/ (* (* (* -2 -2) -2) (* (* (* (* a c) (* a c)) (* a c)) (/ (* (* 1 1) 1) (* (* b b) b)))) (* (* (* 2 2) 2) (* (* a a) a)))
2.3s
(/ (* (* (* -2 -2) -2) (* (* (* (* a a) a) (* (* c c) c)) (/ (* (* 1 1) 1) (* (* b b) b)))) (* (* (* 2 2) 2) (* (* a a) a)))
2.2s
(/ (* (* (* -2 -2) -2) (* (* (* (* a a) a) (* (* c c) c)) (* (* (/ 1 b) (/ 1 b)) (/ 1 b)))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
2.2s
(/ (* (* (* -2 -2) -2) (* (* (* (* a c) (* a c)) (* a c)) (* (* (/ 1 b) (/ 1 b)) (/ 1 b)))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
2.2s
(/ (* (* (* -2 -2) -2) (* (* (* (* a c) (* a c)) (* a c)) (* (* (/ 1 b) (/ 1 b)) (/ 1 b)))) (* (* (* 2 2) 2) (* (* a a) a)))

prune708.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 8.7b

regimes561.0ms

Accuracy

45.2% (7.6b remaining)

Error of 16.7b against oracle of 9.1b and baseline of 22.9b

bsearch50.0ms

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.6s16550×pre80true
1.4s4418×body160valid
1.1s8550×body80nan
511.0ms3582×body80valid