Details

Time bar (total: 1.1m)

sample117.0ms

Algorithm
intervals
Results
32.0ms156×body160valid
25.0ms520×pre80true
25.0ms264×body80nan
10.0ms100×body80valid

simplify118.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
117.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize40.0ms

Local error

Found 4 expressions with local error:

30.3b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.2b
(* (* 3 a) c)
0.2b
(- (* b b) (* (* 3 a) c))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
9×pow1
8×add-log-exp
7×add-cube-cbrt
6×times-frac associate-/l* difference-of-squares
4×prod-exp cbrt-unprod insert-posit16
3×flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
Slowest
116.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
68.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
13.0ms
(* (* 3 a) c)
7.0ms
(- (* b b) (* (* 3 a) c))

series365.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
157.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
119.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
64.0ms
(- (* b b) (* (* 3 a) c))
26.0ms
(* (* 3 a) c)

simplify5.4s

Counts
50 → 91
Calls
50 calls:
Slowest
455.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
452.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
432.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
407.0ms
(- (pow b 2) (* 3 (* a c)))
279.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.1b

localize13.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune76.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 9.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
0.3b
(* -3/2 (/ (* a c) b))
0.2b
(/ (* a c) b)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×associate-*l* insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/l*
1×pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
Slowest
21.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
20.0ms
(* -3/2 (/ (* a c) b))
14.0ms
(/ (* a c) b)

series106.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
43.0ms
(* -3/2 (/ (* a c) b))
40.0ms
(/ (* a c) b)
23.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.5s

Counts
58 → 90
Calls
58 calls:
Slowest
1.3s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.2s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.1s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
1.0s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
892.0ms
(/ (* (* (* -3/2 (/ (* a c) b)) (* -3/2 (/ (* a c) b))) (* -3/2 (/ (* a c) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune957.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 9.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* 3 a) (* -3/2 (/ (* a c) b)))
0.3b
(* -3/2 (/ (* a c) b))
0.3b
(/ 1 (/ (* 3 a) (* -3/2 (/ (* a c) b))))
0.2b
(/ (* a c) b)

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
158×add-exp-log
92×add-cbrt-cube
70×div-exp
53×prod-exp
37×cbrt-undiv
29×times-frac cbrt-unprod
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
10×associate-/r*
9×rec-exp 1-exp
8×div-inv
7×pow1 associate-*r*
6×associate-*r/ associate-/r/
5×associate-/l*
4×insert-posit16 add-log-exp
3×clear-num frac-2neg associate-*l*
1×pow-prod-down *-commutative pow-flip inv-pow unswap-sqr
Counts
4 → 158
Calls
4 calls:
Slowest
37.0ms
(/ (* 3 a) (* -3/2 (/ (* a c) b)))
32.0ms
(/ 1 (/ (* 3 a) (* -3/2 (/ (* a c) b))))
16.0ms
(/ (* a c) b)
14.0ms
(* -3/2 (/ (* a c) b))

series139.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
42.0ms
(/ (* a c) b)
36.0ms
(/ 1 (/ (* 3 a) (* -3/2 (/ (* a c) b))))
34.0ms
(* -3/2 (/ (* a c) b))
27.0ms
(/ (* 3 a) (* -3/2 (/ (* a c) b)))

simplify36.2s

Counts
133 → 170
Calls
133 calls:
Slowest
1.7s
(/ (* (* 1 1) 1) (/ (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b)))))
1.5s
(/ (* (* 1 1) 1) (/ (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b)))))
1.2s
(/ (* (* 1 1) 1) (/ (* (* (* 3 3) 3) (* (* a a) a)) (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b)))))
1.2s
(/ (* (* 1 1) 1) (/ (* (* (* 3 3) 3) (* (* a a) a)) (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b)))))
1.2s
(/ (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))))

prune1.4s

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 9.0b

regimes1.4s

Accuracy

46.4% (7.3b remaining)

Error of 16.3b against oracle of 9.1b and baseline of 22.6b

bsearch25.0ms

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.1s4494×body160valid
1.1s16416×pre80true
1.0s8416×body80nan
512.0ms3506×body80valid