Details

Time bar (total: 14.8s)

sample194.0ms

Algorithm
intervals
Results
51.0ms517×pre80true
48.0ms118×body320valid
32.0ms261×body80nan
24.0ms88×body160valid
10.0ms20×body640valid
4.0ms30×body80valid

simplify147.0ms

Calls
1 calls:
Slowest
147.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.6b

localize18.0ms

Local error

Found 4 expressions with local error:

24.5b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(* (* 3 a) c)
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.1b
(- (* b b) (* (* 3 a) c))

rewrite65.0ms

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) (* 3 a))
18.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
7.0ms
(- (* b b) (* (* 3 a) c))
5.0ms
(* (* 3 a) c)

series173.0ms

Calls
4 calls:
Slowest
70.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
67.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
25.0ms
(- (* b b) (* (* 3 a) c))
11.0ms
(* (* 3 a) c)

simplify2.7s

Calls
26 calls:
Slowest
632.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
294.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
209.0ms
(/ (* (* (- (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)))
153.0ms
(- (log (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (log (* 3 a)))
123.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune757.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.8b

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

prune33.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.8b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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
6.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
5.0ms
(/ (* a c) b)
2.0ms
(* -3/2 (/ (* a c) b))

series67.0ms

Calls
3 calls:
Slowest
26.0ms
(* -3/2 (/ (* a c) b))
21.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
20.0ms
(/ (* a c) b)

simplify1.4s

Calls
18 calls:
Slowest
685.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
164.0ms
(/ (/ (* a c) b) a)
153.0ms
(- (log (* -3/2 (/ (* a c) b))) (log (* 3 a)))
95.0ms
(* -3/2 (/ (* a c) b))
70.0ms
(* -3/2 (/ (* a c) b))

prune488.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.8b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt associate-/r* *-un-lft-identity add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
4×div-inv
3×pow1 insert-posit16 add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/r/
1×cbrt-undiv times-frac div-exp *-commutative associate-/l* associate-/l/
Calls
3 calls:
Slowest
4.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))
1.0ms
(* -3/2 (/ a (/ b c)))
0.0ms
(/ a (/ b c))

series68.0ms

Calls
3 calls:
Slowest
29.0ms
(* -3/2 (/ a (/ b c)))
26.0ms
(/ a (/ b c))
13.0ms
(/ (* -3/2 (/ a (/ b c))) (* 3 a))

simplify1.6s

Calls
23 calls:
Slowest
910.0ms
(/ (* (* (* -3/2 (/ a (/ b c))) (* -3/2 (/ a (/ b c)))) (* -3/2 (/ a (/ b c)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
154.0ms
(- (log (* -3/2 (/ a (/ b c)))) (log (* 3 a)))
112.0ms
(* -3/2 (/ (* a c) b))
91.0ms
(* -3/2 (/ (* a c) b))
77.0ms
(/ (/ a (/ b c)) a)

prune409.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.8b

regimes553.0ms

Accuracy

0% (3.7b remaining)

Error of 6.5b against oracle of 2.8b and baseline of 6.5b

bsearch1.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
1.9s3521×body320valid
1.4s16223×pre80true
1.2s8223×body80nan
803.0ms2977×body160valid
288.0ms535×body640valid
177.0ms967×body80valid