Details

Time bar (total: 4.4m)

sample172.0ms

Algorithm
intervals
Results
47.0ms166×body160valid
43.0ms302×body80nan
34.0ms558×pre80true
18.0ms43×body320valid
6.0ms47×body80valid

simplify165.0ms

Calls
1 calls:
Slowest
165.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.6b

localize22.0ms

Local error

Found 4 expressions with local error:

39.5b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.2b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
0.1b
(- (* b b) (* (* c a) 4))
0.1b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
200×add-sqr-sqrt
91×*-un-lft-identity
72×times-frac
58×difference-of-squares
43×unswap-sqr
39×associate-*l* add-cube-cbrt
38×sqrt-prod
26×distribute-lft-out--
21×associate-*r*
13×*-commutative
12×associate-/r*
add-cbrt-cube add-exp-log
add-log-exp
swap-sqr associate-/l*
pow1
flip3-- insert-posit16 flip--
cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp cbrt-unprod div-inv
Calls
4 calls:
Slowest
639.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
354.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
62.0ms
(sqrt (- (* b b) (* (* c a) 4)))
40.0ms
(- (* b b) (* (* c a) 4))

series412.0ms

Calls
4 calls:
Slowest
153.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
110.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
91.0ms
(sqrt (- (* b b) (* (* c a) 4)))
58.0ms
(- (* b b) (* (* c a) 4))

simplify20.5s

Calls
247 calls:
Slowest
605.0ms
(- (* (sqrt (- (* b b) (* (* c a) 4))) (sqrt (- (* b b) (* (* c a) 4)))) (* b b))
432.0ms
(/ (sqrt (- (sqrt (- (* b b) (* (* c a) 4))) b)) (sqrt (* 2 a)))
428.0ms
(- (pow (sqrt (- (* b b) (* (* c a) 4))) 3) (pow b 3))
375.0ms
(sqrt (- (* (* b b) (* b b)) (* (* (* c a) 4) (* (* c a) 4))))
321.0ms
(/ (* (* (- (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)))

prune2.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.3b

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

prune93.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.3b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
1142×times-frac
808×add-sqr-sqrt associate-*r*
501×*-un-lft-identity
499×add-cube-cbrt
328×associate-*l*
148×unswap-sqr
109×*-commutative
77×associate-/l*
39×add-cbrt-cube add-exp-log
21×associate-/l/
18×associate-/r* associate-*r/
15×div-inv
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
clear-num
frac-2neg un-div-inv
pow1 insert-posit16 add-log-exp
Calls
2 calls:
Slowest
52.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
12.0ms
(/ (* a c) b)

series64.0ms

Calls
2 calls:
Slowest
36.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
28.0ms
(/ (* a c) b)

simplify3.8m

Calls
1407 calls:
Slowest
1.5s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 2 2) 2) (* (* a a) a)))
1.5s
(/ (* (* (* -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 a) (* 2 a)) (* 2 a)))
967.0ms
(/ (* (* (* -2 (/ (* a c) b)) (* -2 (/ (* a c) b))) (* -2 (/ (* a c) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))

prune7.6s

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 5.2b

localize0.0ms

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

prune0.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 5.2b

regimes801.0ms

Accuracy

16.4% (5.8b remaining)

Error of 10.9b against oracle of 5.2b and baseline of 12.0b

bsearch63.0ms

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.8s4864×body160valid
1.1s8498×body80nan
1.0s16498×pre80true
620.0ms1326×body320valid
259.0ms1810×body80valid