Details

Time bar (total: 14.2s)

sample125.0ms

Algorithm
intervals
Results
32.0ms162×body160valid
31.0ms526×pre80true
23.0ms270×body80nan
12.0ms40×body320valid
6.0ms54×body80valid

simplify143.0ms

Calls
1 calls:
Slowest
143.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.3b

localize23.0ms

Local error

Found 4 expressions with local error:

37.7b
(- (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))

rewrite81.0ms

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
50.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
25.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
3.0ms
(- (* b b) (* (* 3 a) c))
3.0ms
(* (* 3 a) c)

series159.0ms

Calls
4 calls:
Slowest
62.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
44.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
37.0ms
(- (* b b) (* (* 3 a) c))
16.0ms
(* (* 3 a) c)

simplify2.6s

Calls
26 calls:
Slowest
532.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
309.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
211.0ms
(/ (* (* (- (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)))
174.0ms
(- (log (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (log (* 3 a)))
167.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune829.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.6b

localize5.0ms

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

prune43.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.6b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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

series68.0ms

Calls
3 calls:
Slowest
25.0ms
(* -3/2 (/ (* a c) b))
21.0ms
(/ (* a c) b)
21.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.6s

Calls
18 calls:
Slowest
780.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
180.0ms
(- (log (* -3/2 (/ (* a c) b))) (log (* 3 a)))
132.0ms
(/ (/ (* a c) b) a)
90.0ms
(* -3/2 (/ (* a c) b))
84.0ms
(* -3/2 (/ (* a c) b))

prune548.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 5.6b

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

series57.0ms

Calls
4 calls:
Slowest
17.0ms
(* -3/2 (/ (* a c) b))
16.0ms
(/ (* -3/2 (/ (* a c) b)) 3)
13.0ms
(/ (* a c) b)
12.0ms
(/ (/ (* -3/2 (/ (* a c) b)) 3) a)

simplify1.6s

Calls
21 calls:
Slowest
366.0ms
(* (cbrt (/ (* -3/2 (/ (* a c) b)) 3)) (cbrt (/ (* -3/2 (/ (* a c) b)) 3)))
323.0ms
(sqrt (/ (* -3/2 (/ (* a c) b)) 3))
118.0ms
(* -3/2 (/ (* a c) b))
116.0ms
(* -3/2 (/ (* a c) b))
109.0ms
(* -3/2 (/ (* a c) b))

prune567.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.5b

regimes753.0ms

Accuracy

0% (6.9b remaining)

Error of 12.1b against oracle of 5.2b and baseline of 12.1b

bsearch1.0ms

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.3s4807×body160valid
1.1s16072×pre80true
1.0s8072×body80nan
581.0ms1386×body320valid
258.0ms1807×body80valid