Details

Time bar (total: 4.2m)

sample104.0ms

Algorithm
intervals
Results
38.0ms242×body80nan
24.0ms147×body160valid
18.0ms498×pre80true
10.0ms109×body80valid

simplify110.0ms

Calls
1 calls:
Slowest
110.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize44.0ms

Local error

Found 4 expressions with local error:

28.8b
(- (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)))

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
606.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
375.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
56.0ms
(sqrt (- (* b b) (* (* c a) 4)))
51.0ms
(- (* b b) (* (* c a) 4))

series408.0ms

Calls
4 calls:
Slowest
147.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) (* 2 a))
104.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
98.0ms
(sqrt (- (* b b) (* (* c a) 4)))
59.0ms
(- (* b b) (* (* c a) 4))

simplify19.9s

Calls
247 calls:
Slowest
535.0ms
(- (* (sqrt (- (* b b) (* (* c a) 4))) (sqrt (- (* b b) (* (* c a) 4)))) (* b b))
487.0ms
(/ (+ (sqrt (sqrt (- (* b b) (* (* c a) 4)))) (sqrt b)) (sqrt 2))
394.0ms
(- (pow (sqrt (- (* b b) (* (* c a) 4))) 3) (pow b 3))
287.0ms
(/ (* (* (- (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)))
283.0ms
(sqrt (- (* (* b b) (* b b)) (* (* (* c a) 4) (* (* c a) 4))))

prune2.5s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 9.2b

localize4.0ms

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

prune134.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 9.2b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite138.0ms

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
92.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
13.0ms
(/ (* a c) b)

series50.0ms

Calls
2 calls:
Slowest
28.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))
22.0ms
(/ (* a c) b)

simplify3.6m

Calls
1407 calls:
Slowest
1.4s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 2 2) 2) (* (* a a) a)))
1.4s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 2 2) 2) (* (* a a) a)))
1.3s
(/ (* (* (* -2 -2) -2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 2 a) (* 2 a)) (* 2 a)))
1.2s
(/ (* (* (* -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)))

prune7.1s

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 9.0b

localize1.0ms

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

prune1.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 9.0b

regimes936.0ms

Accuracy

41.4% (8.1b remaining)

Error of 17.2b against oracle of 9.1b and baseline of 23.0b

bsearch74.0ms

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.2s4451×body160valid
1.2s8520×body80nan
1.1s16520×pre80true
926.0ms3549×body80valid