Details

Time bar (total: 26.9s)

sample112.0ms

Algorithm
intervals
Results
36.0ms144×body160valid
24.0ms510×pre80true
22.0ms254×body80nan
11.0ms112×body80valid

simplify99.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
99.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize25.0ms

Local error

Found 4 expressions with local error:

28.5b
(- (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))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
pow1
add-log-exp
add-cube-cbrt
times-frac associate-/l* difference-of-squares
prod-exp cbrt-unprod insert-posit16
flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
cbrt-undiv sub-neg diff-log div-exp associate-/l/
clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
Slowest
67.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
31.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
13.0ms
(* (* 3 a) c)
7.0ms
(- (* b b) (* (* 3 a) c))

series362.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
163.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
107.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
57.0ms
(- (* b b) (* (* 3 a) c))
35.0ms
(* (* 3 a) c)

simplify5.1s

Counts
50 → 91
Calls
50 calls:
Slowest
535.0ms
(- (* (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (- (* b b) (* (* 3 a) c)))) (* b b))
438.0ms
(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
393.0ms
(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
307.0ms
(- (pow (sqrt (- (* b b) (* (* 3 a) c))) 3) (pow b 3))
294.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune1.1s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.1b

localize6.0ms

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

prune81.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 9.1b

localize15.0ms

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)

rewrite75.0ms

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
*-un-lft-identity add-cube-cbrt
times-frac associate-*r*
pow1
associate-/r*
associate-*l* insert-posit16 div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
Slowest
29.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
28.0ms
(* -3/2 (/ (* a c) b))
17.0ms
(/ (* a c) b)

series77.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
28.0ms
(* -3/2 (/ (* a c) b))
25.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
23.0ms
(/ (* a c) b)

simplify13.2s

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 3) 3) (* (* a a) a)))
1.3s
(/ (* (* (* -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 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)))
881.0ms
(/ (* (* (* -3/2 -3/2) -3/2) (* (* (/ (* a c) b) (/ (* a c) b)) (/ (* a c) b))) (* (* (* 3 3) 3) (* (* a a) a)))

prune843.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 8.9b

localize6.0ms

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

prune1.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 8.9b

regimes982.0ms

Accuracy

47.9% (7.1b remaining)

Error of 16.1b against oracle of 9.1b and baseline of 22.6b

bsearch62.0ms

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.2s16358×pre80true
1.1s4451×body160valid
1.1s8358×body80nan
503.0ms3549×body80valid