Details

Time bar (total: 17.8s)

sample179.0ms

Algorithm
intervals
Results
47.0ms89×body160valid
42.0ms113×body320valid
29.0ms499×pre80true
25.0ms243×body80nan
8.0ms17×body640valid
4.0ms37×body80valid

simplify119.0ms

Calls
1 calls:
Slowest
119.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.5b

localize36.0ms

Local error

Found 4 expressions with local error:

23.4b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.2b
(* (* 3 a) c)
0.1b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.1b
(- (* b b) (* (* 3 a) c))

rewrite67.0ms

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
29.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
29.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
5.0ms
(- (* b b) (* (* 3 a) c))
3.0ms
(* (* 3 a) c)

series200.0ms

Calls
4 calls:
Slowest
93.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
48.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
42.0ms
(- (* b b) (* (* 3 a) c))
17.0ms
(* (* 3 a) c)

simplify2.4s

Calls
26 calls:
Slowest
500.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
272.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
205.0ms
(/ (* (* (- (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)))
137.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))
130.0ms
(- (* 3/2 (/ (* a c) b)) (* 2 b))

prune853.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.9b

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

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.9b

localize24.0ms

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)

rewrite18.0ms

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
10.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
5.0ms
(/ (* a c) b)
2.0ms
(* -3/2 (/ (* a c) b))

series54.0ms

Calls
3 calls:
Slowest
22.0ms
(* -3/2 (/ (* a c) b))
20.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
12.0ms
(/ (* a c) b)

simplify1.5s

Calls
18 calls:
Slowest
770.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
153.0ms
(- (log (* -3/2 (/ (* a c) b))) (log (* 3 a)))
145.0ms
(/ (/ (* a c) b) a)
94.0ms
(* -3/2 (/ (* a c) b))
82.0ms
(* -3/2 (/ (* a c) b))

prune493.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.9b

localize21.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (* -3/2 (* a c)) (/ 1 b))
0.4b
(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))
0.3b
(* -3/2 (* a c))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube add-exp-log
5×pow1 associate-*r*
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×insert-posit16 add-log-exp
2×cbrt-undiv div-exp prod-exp associate-*r/ un-div-inv *-commutative cbrt-unprod div-inv associate-/l/
1×clear-num associate-/r* frac-2neg times-frac associate-*l* pow-prod-down associate-/l*
Calls
3 calls:
Slowest
12.0ms
(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))
8.0ms
(* (* -3/2 (* a c)) (/ 1 b))
1.0ms
(* -3/2 (* a c))

series54.0ms

Calls
3 calls:
Slowest
19.0ms
(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))
18.0ms
(* (* -3/2 (* a c)) (/ 1 b))
17.0ms
(* -3/2 (* a c))

simplify5.2s

Calls
25 calls:
Slowest
1.9s
(/ (* (* (* (* -3/2 (* a c)) (* -3/2 (* a c))) (* -3/2 (* a c))) (* (* (/ 1 b) (/ 1 b)) (/ 1 b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.5s
(/ (* (* (* (* -3/2 (* a c)) (/ 1 b)) (* (* -3/2 (* a c)) (/ 1 b))) (* (* -3/2 (* a c)) (/ 1 b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
330.0ms
(+ (log (* -3/2 (* a c))) (log (/ 1 b)))
271.0ms
(- (+ (log (* -3/2 (* a c))) (log (/ 1 b))) (log (* 3 a)))
237.0ms
(- (log (* (* -3/2 (* a c)) (/ 1 b))) (log (* 3 a)))

prune442.0ms

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 2.9b

regimes656.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch1.0ms

end0.0ms

sample5.5s

Algorithm
intervals
Results
1.9s3656×body320valid
1.1s7909×body80nan
917.0ms15909×pre80true
789.0ms2954×body160valid
319.0ms492×body640valid
130.0ms898×body80valid