Details

Time bar (total: 1.1m)

sample220.0ms

Algorithm
intervals
Results
52.0ms117×body320valid
38.0ms522×pre80true
36.0ms266×body80nan
35.0ms15×body640valid
31.0ms95×body160valid
4.0ms29×body80valid

simplify101.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
101.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.1b

localize39.0ms

Local error

Found 4 expressions with local error:

27.3b
(- (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))

rewrite168.0ms

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
86.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
45.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
28.0ms
(* (* 3 a) c)
9.0ms
(- (* b b) (* (* 3 a) c))

series337.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
150.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
110.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
46.0ms
(- (* b b) (* (* 3 a) c))
30.0ms
(* (* 3 a) c)

simplify5.3s

Counts
50 → 91
Calls
50 calls:
Slowest
553.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
487.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
463.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
275.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
271.0ms
(/ (* (* (- (sqrt (- (* b b) (* (* 3 a) c))) b) (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (- (sqrt (- (* b b) (* (* 3 a) c))) b)) (* (* (* 3 3) 3) (* (* a a) a)))

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.5b

localize12.0ms

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

prune36.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.5b

localize26.0ms

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)

rewrite54.0ms

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
23.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
21.0ms
(* -3/2 (/ (* a c) b))
9.0ms
(/ (* a c) b)

series109.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
52.0ms
(* -3/2 (/ (* a c) b))
34.0ms
(/ (* a c) b)
23.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify13.4s

Counts
58 → 90
Calls
58 calls:
Slowest
1.4s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.3s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a a) a) (* (* c c) c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
1.2s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.2s
(/ (* (* (* -3/2 -3/2) -3/2) (/ (* (* (* a c) (* a c)) (* a c)) (* (* b b) b))) (* (* (* 3 3) 3) (* (* a a) a)))
963.0ms
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (/ (* a c) b) (/ (* a c) b)) (/ (* a c) b))) (* (* (* 3 3) 3) (* (* a a) a)))

prune812.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.5b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
153×add-exp-log
89×add-cbrt-cube
85×prod-exp
45×cbrt-unprod
36×div-exp
20×cbrt-undiv
17×pow1
14×associate-*r*
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×times-frac
9×pow-prod-down
8×rec-exp 1-exp
7×associate-*r/
4×associate-*l*
3×un-div-inv insert-posit16 add-log-exp
2×*-commutative div-inv associate-/l/
1×clear-num associate-/r* frac-2neg associate-/l*
Counts
3 → 119
Calls
3 calls:
Slowest
85.0ms
(* -3/2 (* (* a c) (/ 1 b)))
79.0ms
(/ (* -3/2 (* (* a c) (/ 1 b))) (* 3 a))
21.0ms
(* (* a c) (/ 1 b))

series87.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
35.0ms
(* -3/2 (* (* a c) (/ 1 b)))
30.0ms
(/ (* -3/2 (* (* a c) (/ 1 b))) (* 3 a))
21.0ms
(* (* a c) (/ 1 b))

simplify37.7s

Counts
92 → 128
Calls
92 calls:
Slowest
2.3s
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (* (* a a) a) (* (* c c) c)) (/ (* (* 1 1) 1) (* (* b b) b)))) (* (* (* 3 3) 3) (* (* a a) a)))
2.0s
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (* (* a a) a) (* (* c c) c)) (* (* (/ 1 b) (/ 1 b)) (/ 1 b)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.9s
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (* (* a c) (* a c)) (* a c)) (* (* (/ 1 b) (/ 1 b)) (/ 1 b)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))
1.8s
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (* (* a c) (* a c)) (* a c)) (* (* (/ 1 b) (/ 1 b)) (/ 1 b)))) (* (* (* 3 3) 3) (* (* a a) a)))
1.8s
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (* (* a a) a) (* (* c c) c)) (/ (* (* 1 1) 1) (* (* b b) b)))) (* (* (* 3 a) (* 3 a)) (* 3 a)))

prune1.3s

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 2.5b

regimes950.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch2.0ms

end0.0ms

sample5.7s

Algorithm
intervals
Results
1.7s3624×body320valid
1.4s16268×pre80true
1.0s8268×body80nan
779.0ms2971×body160valid
257.0ms477×body640valid
144.0ms928×body80valid