Details

Time bar (total: 14.5s)

sample151.0ms

Algorithm
intervals
Results
52.0ms559×pre80true
32.0ms303×body80nan
31.0ms133×body160valid
14.0ms123×body80valid

simplify115.0ms

Calls
1 calls:
Slowest
115.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.6b

localize20.0ms

Local error

Found 4 expressions with local error:

27.5b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
0.2b
(- (* b b) (* (* 3 a) c))

rewrite56.0ms

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))
16.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
3.0ms
(* (* 3 a) c)
3.0ms
(- (* b b) (* (* 3 a) c))

series151.0ms

Calls
4 calls:
Slowest
67.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
49.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
25.0ms
(- (* b b) (* (* 3 a) c))
11.0ms
(* (* 3 a) c)

simplify2.6s

Calls
26 calls:
Slowest
571.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
275.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
256.0ms
(/ (* (* (- (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)))
170.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))
127.0ms
(- (log (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (log (* 3 a)))

prune900.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.2b

localize6.0ms

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

prune69.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 9.2b

localize10.0ms

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)

rewrite9.0ms

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))
3.0ms
(/ (* a c) b)
1.0ms
(* -3/2 (/ (* a c) b))

series42.0ms

Calls
3 calls:
Slowest
18.0ms
(* -3/2 (/ (* a c) b))
12.0ms
(/ (* a c) b)
12.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.4s

Calls
18 calls:
Slowest
749.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
150.0ms
(- (log (* -3/2 (/ (* a c) b))) (log (* 3 a)))
137.0ms
(/ (/ (* a c) b) a)
76.0ms
(* -3/2 (/ (* a c) b))
72.0ms
(* -3/2 (/ (* a c) b))

prune594.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 9.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt associate-/l*
4×times-frac div-inv
3×pow1 insert-posit16 add-log-exp
2×clear-num frac-2neg
1×cbrt-undiv associate-/r* div-exp associate-*r* *-commutative associate-/l/
Calls
3 calls:
Slowest
6.0ms
(/ (/ (* -3/2 (* a c)) b) (* 3 a))
4.0ms
(/ (* -3/2 (* a c)) b)
1.0ms
(* -3/2 (* a c))

series64.0ms

Calls
3 calls:
Slowest
26.0ms
(/ (* -3/2 (* a c)) b)
20.0ms
(/ (/ (* -3/2 (* a c)) b) (* 3 a))
17.0ms
(* -3/2 (* a c))

simplify2.3s

Calls
23 calls:
Slowest
524.0ms
(/ (/ (* -3/2 (* a c)) b) a)
457.0ms
(/ (* (* (/ (* -3/2 (* a c)) b) (/ (* -3/2 (* a c)) b)) (/ (* -3/2 (* a c)) b)) (* (* (* 3 a) (* 3 a)) (* 3 a)))
186.0ms
(- (log (/ (* -3/2 (* a c)) b)) (log (* 3 a)))
119.0ms
(* (cbrt (/ (* -3/2 (* a c)) b)) (cbrt (/ (* -3/2 (* a c)) b)))
118.0ms
(* -3/2 (/ (* a c) b))

prune407.0ms

Pruning

30 alts after pruning (28 fresh and 2 done)

Merged error: 9.1b

regimes908.0ms

Accuracy

47.7% (7.1b remaining)

Error of 16.2b against oracle of 9.1b and baseline of 22.7b

bsearch13.0ms

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.5s8389×body80nan
1.1s4474×body160valid
1.0s16389×pre80true
500.0ms3526×body80valid