Details

Time bar (total: 14.0s)

sample119.0ms

Algorithm
intervals
Results
27.0ms148×body160valid
24.0ms508×pre80true
21.0ms252×body80nan
15.0ms50×body320valid
12.0ms58×body80valid

simplify103.0ms

Calls
1 calls:
Slowest
103.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.8b

localize18.0ms

Local error

Found 4 expressions with local error:

37.9b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.2b
(* (* 3 a) c)
0.1b
(- (* b b) (* (* 3 a) c))

rewrite46.0ms

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
25.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
13.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
5.0ms
(* (* 3 a) c)
2.0ms
(- (* b b) (* (* 3 a) c))

series327.0ms

Calls
4 calls:
Slowest
132.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
96.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
67.0ms
(- (* b b) (* (* 3 a) c))
31.0ms
(* (* 3 a) c)

simplify2.5s

Calls
26 calls:
Slowest
494.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
270.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
240.0ms
(/ (* (* (- (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)))
193.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))
145.0ms
(- (* 3/2 (/ (* a c) b)) (* 2 b))

prune840.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.2b

localize10.0ms

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

prune74.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.2b

localize10.0ms

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))

rewrite20.0ms

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
12.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
5.0ms
(/ (* a c) b)
2.0ms
(* -3/2 (/ (* a c) b))

series83.0ms

Calls
3 calls:
Slowest
40.0ms
(* -3/2 (/ (* a c) b))
22.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
21.0ms
(/ (* a c) b)

simplify1.2s

Calls
18 calls:
Slowest
607.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
129.0ms
(/ (/ (* a c) b) a)
113.0ms
(- (log (* -3/2 (/ (* a c) b))) (log (* 3 a)))
75.0ms
(* -3/2 (/ (* a c) b))
71.0ms
(* -3/2 (/ (* a c) b))

prune445.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.1b

localize8.0ms

Local error

Found 4 expressions with local error:

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

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
(/ (* a c) b)
4.0ms
(/ (* -3/2 (/ (* a c) b)) 3)
1.0ms
(* -3/2 (/ (* a c) b))

series155.0ms

Calls
4 calls:
Slowest
50.0ms
(/ (* -3/2 (/ (* a c) b)) 3)
46.0ms
(* -3/2 (/ (* a c) b))
35.0ms
(/ (/ (* -3/2 (/ (* a c) b)) 3) a)
23.0ms
(/ (* a c) b)

simplify1.5s

Calls
21 calls:
Slowest
276.0ms
(* (cbrt (/ (* -3/2 (/ (* a c) b)) 3)) (cbrt (/ (* -3/2 (/ (* a c) b)) 3)))
255.0ms
(sqrt (/ (* -3/2 (/ (* a c) b)) 3))
116.0ms
(* -3/2 (/ (* a c) b))
111.0ms
(* -1/2 (/ (* a c) b))
103.0ms
(* -3/2 (/ (* a c) b))

prune470.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.1b

regimes645.0ms

Accuracy

-6.3% (7.3b remaining)

Error of 12.3b against oracle of 5.0b and baseline of 11.9b

bsearch67.0ms

end0.0ms

sample5.3s

Algorithm
intervals
Results
1.6s4830×body160valid
1.4s16251×pre80true
1.0s8251×body80nan
532.0ms1393×body320valid
335.0ms1777×body80valid