Details

Time bar (total: 9.8s)

sample130.0ms

Algorithm
intervals
Results
34.0ms279×body80nan
33.0ms147×body160valid
28.0ms535×pre80true
11.0ms109×body80valid

simplify131.0ms

Counts
1 → 1
Iterations
IterNodes
done93
793
692
590
482
366
240
121
012

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3 a) c))
0.3b
(* (* 3 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
28.9b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite203.0ms

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:
8.0ms
(- (* b b) (* (* 3 a) c))
18.0ms
(* (* 3 a) c)
112.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
64.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series372.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* b b) (* (* 3 a) c))
31.0ms
(* (* 3 a) c)
189.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
104.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify744.0ms

Counts
91 → 91
Iterations
IterNodes
done2000
21459
1424
0158

prune512.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.6b

localize12.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune100.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.6b

localize15.0ms

Local error

Found 3 expressions with local error:

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

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
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:
30.0ms
(* -3/2 (/ (* a c) b))
18.0ms
(/ (* a c) b)
26.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series118.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* -3/2 (/ (* a c) b))
34.0ms
(/ (* a c) b)
36.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify332.0ms

Counts
90 → 90
Iterations
IterNodes
done2001
1382
0126

prune475.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 8.4b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
24×prod-exp cbrt-unprod
13×pow1
9×cbrt-undiv div-exp
6×pow-prod-down
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×associate-*r* associate-*l*
3×insert-posit16 add-log-exp
2×*-commutative
1×clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
3 → 70
Calls
3 calls:
13.0ms
(* -3/2 (* a c))
26.0ms
(* (* 3 a) b)
33.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

series77.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* -3/2 (* a c))
26.0ms
(* (* 3 a) b)
21.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

simplify312.0ms

Counts
79 → 79
Iterations
IterNodes
done2000
1333
0110

prune227.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 8.4b

regimes959.0ms

Accuracy

47.1% (7.3b remaining)

Error of 16.2b against oracle of 8.9b and baseline of 22.8b

bsearch35.0ms

Steps
ItersRangePoint
3
1917.9681010718273
2334.6495375971285
1935.0528928047481

simplify5.0ms

Iterations
IterNodes
done33
133
024

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.5s4456×body160valid
1.1s8501×body80nan
1.1s16501×pre80true
542.0ms3544×body80valid