Details

Time bar (total: 40.5s)

sample162.0ms

Algorithm
intervals
Results
38.0ms142×body160valid
34.0ms281×body80nan
33.0ms537×pre80true
31.0ms114×body80valid

simplify152.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
151.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.6b

localize27.0ms

Local error

Found 4 expressions with local error:

27.4b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(- (* b b) (* (* 3 a) c))
0.2b
(* (* 3 a) c)

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
pow1
add-log-exp
add-cube-cbrt
times-frac associate-/l* difference-of-squares
prod-exp cbrt-unprod insert-posit16
flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
cbrt-undiv sub-neg diff-log div-exp associate-/l/
clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
Slowest
84.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
62.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
27.0ms
(* (* 3 a) c)
14.0ms
(- (* b b) (* (* 3 a) c))

series398.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
169.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
135.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
60.0ms
(- (* b b) (* (* 3 a) c))
34.0ms
(* (* 3 a) c)

simplify12.0s

Counts
104 → 91
Calls
104 calls:
Slowest
686.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
524.0ms
(* (* (* (* 3 a) c) (* (* 3 a) c)) (* (* 3 a) c))
487.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
473.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
412.0ms
(- (* (* b b) (* b b)) (* (* (* 3 a) c) (* (* 3 a) c)))

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.9b

localize12.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune69.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 9.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
0.3b
(/ (* a c) b)
0.3b
(* -3/2 (/ (* a c) b))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
times-frac associate-*r*
pow1
associate-/r*
associate-*l* insert-posit16 div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
Slowest
35.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
16.0ms
(/ (* a c) b)
13.0ms
(* -3/2 (/ (* a c) b))

series97.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
48.0ms
(* -3/2 (/ (* a c) b))
26.0ms
(/ (* a c) b)
23.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify19.6s

Counts
96 → 90
Calls
96 calls:
Slowest
1.4s
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.3s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.3s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
1.3s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.1s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))

prune825.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 9.8b

localize6.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune2.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 9.8b

regimes937.0ms

Accuracy

43.6% (7.4b remaining)

Error of 16.6b against oracle of 9.2b and baseline of 22.3b

bsearch69.0ms

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.6s4565×body160valid
1.1s16464×pre80true
1.1s8464×body80nan
447.0ms3435×body80valid