Details

Time bar (total: 14.6s)

sample168.0ms

Algorithm
intervals
Results
51.0ms544×pre80true
41.0ms165×body160valid
33.0ms288×body80nan
12.0ms91×body80valid

simplify141.0ms

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.2b

localize19.0ms

Local error

Found 4 expressions with local error:

31.1b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.2b
(- (* b b) (* (* 3 a) c))
0.2b
(* (* 3 a) c)

rewrite164.0ms

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
77.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
46.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
25.0ms
(* (* 3 a) c)
14.0ms
(- (* b b) (* (* 3 a) c))

series359.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
153.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
123.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
54.0ms
(- (* b b) (* (* 3 a) c))
29.0ms
(* (* 3 a) c)

simplify2.5s

Counts
91 → 91

prune990.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.7b

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

prune50.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 9.7b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

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
24.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
12.0ms
(* -3/2 (/ (* a c) b))
10.0ms
(/ (* a c) b)

series97.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
40.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
31.0ms
(* -3/2 (/ (* a c) b))
26.0ms
(/ (* a c) b)

simplify681.0ms

Counts
90 → 90

prune806.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 9.6b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
166×add-exp-log
94×add-cbrt-cube
88×prod-exp
46×cbrt-unprod
44×div-exp
23×cbrt-undiv
17×pow1
14×associate-*r*
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×times-frac
9×rec-exp 1-exp pow-prod-down
4×associate-*l*
3×insert-posit16 add-log-exp
2×associate-*r/ un-div-inv *-commutative div-inv associate-/l/
1×clear-num associate-/r* frac-2neg associate-/l*
Counts
3 → 121
Calls
3 calls:
Slowest
70.0ms
(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))
51.0ms
(* (* -3/2 (* a c)) (/ 1 b))
24.0ms
(* -3/2 (* a c))

series105.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
43.0ms
(* (* -3/2 (* a c)) (/ 1 b))
36.0ms
(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))
26.0ms
(* -3/2 (* a c))

simplify1.1s

Counts
130 → 130

prune1.1s

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 9.6b

regimes1.0s

Accuracy

42.8% (7.6b remaining)

Error of 16.7b against oracle of 9.1b and baseline of 22.4b

bsearch51.0ms

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.8s4541×body160valid
1.1s16581×pre80true
1.1s8581×body80nan
412.0ms3459×body80valid