Details

Time bar (total: 15.5s)

sample162.0ms

Algorithm
intervals
Results
36.0ms120×body320valid
34.0ms24×body640valid
24.0ms508×pre80true
22.0ms252×body80nan
17.0ms91×body160valid
2.0ms21×body80valid

simplify144.0ms

Calls
1 calls:
Slowest
144.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 54.7b

localize39.0ms

Local error

Found 4 expressions with local error:

26.2b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.2b
(* (* 3 a) c)
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.0b
(- (* b b) (* (* 3 a) c))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
4×pow1 insert-posit16
3×times-frac flip3-- flip-- associate-/l*
2×sub-neg associate-/l/
1×cbrt-undiv clear-num associate-/r* frac-2neg diff-log div-sub div-exp associate-*l* *-commutative div-inv
Calls
4 calls:
Slowest
34.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
28.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
5.0ms
(* (* 3 a) c)
2.0ms
(- (* b b) (* (* 3 a) c))

series195.0ms

Calls
4 calls:
Slowest
79.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
63.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
37.0ms
(- (* b b) (* (* 3 a) c))
16.0ms
(* (* 3 a) c)

simplify2.7s

Calls
26 calls:
Slowest
572.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
305.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
273.0ms
(/ (* (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (* (* (* 3 a) (* 3 a)) (* 3 a)))
157.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))
144.0ms
(- (log (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (log (* 3 a)))

prune827.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.1b

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

prune49.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
5×add-cbrt-cube add-exp-log
4×add-sqr-sqrt *-un-lft-identity associate-*r* add-cube-cbrt
3×pow1 insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/l*
1×cbrt-undiv associate-/r* times-frac div-exp *-commutative associate-/l/
Calls
3 calls:
Slowest
9.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
4.0ms
(/ (* a c) b)
2.0ms
(* -3/2 (/ (* a c) b))

series60.0ms

Calls
3 calls:
Slowest
27.0ms
(* -3/2 (/ (* a c) b))
20.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
12.0ms
(/ (* a c) b)

simplify1.7s

Calls
18 calls:
Slowest
808.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
171.0ms
(/ (/ (* a c) b) a)
139.0ms
(- (log (* -3/2 (/ (* a c) b))) (log (* 3 a)))
108.0ms
(* -3/2 (/ (* a c) b))
106.0ms
(* -3/2 (/ (* a c) b))

prune552.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.1b

localize6.0ms

Local error

Found 4 expressions with local error:

0.3b
(* -3/2 (/ (* a c) b))
0.3b
(/ (* a c) b)
0.2b
(/ (/ (* -3/2 (/ (* a c) b)) 3) a)
0.2b
(/ (* -3/2 (/ (* a c) b)) 3)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt associate-/l*
5×div-inv
4×pow1 add-cbrt-cube associate-*r* add-exp-log insert-posit16 add-log-exp
3×clear-num frac-2neg
2×associate-*r/ associate-/l/
1×*-commutative
Calls
4 calls:
Slowest
5.0ms
(/ (/ (* -3/2 (/ (* a c) b)) 3) a)
4.0ms
(/ (* -3/2 (/ (* a c) b)) 3)
3.0ms
(/ (* a c) b)
2.0ms
(* -3/2 (/ (* a c) b))

series72.0ms

Calls
4 calls:
Slowest
22.0ms
(/ (* -3/2 (/ (* a c) b)) 3)
19.0ms
(/ (/ (* -3/2 (/ (* a c) b)) 3) a)
16.0ms
(* -3/2 (/ (* a c) b))
15.0ms
(/ (* a c) b)

simplify1.7s

Calls
21 calls:
Slowest
372.0ms
(sqrt (/ (* -3/2 (/ (* a c) b)) 3))
328.0ms
(* (cbrt (/ (* -3/2 (/ (* a c) b)) 3)) (cbrt (/ (* -3/2 (/ (* a c) b)) 3)))
116.0ms
(* -3/2 (/ (* a c) b))
113.0ms
(* -3/2 (/ (* a c) b))
113.0ms
(* -3/2 (/ (* a c) b))

prune512.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.1b

regimes640.0ms

Accuracy

0% (3.3b remaining)

Error of 5.9b against oracle of 2.6b and baseline of 5.9b

bsearch1.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
1.8s8075×body80nan
1.5s3694×body320valid
1.1s16075×pre80true
985.0ms2911×body160valid
240.0ms508×body640valid
100.0ms887×body80valid