Details

Time bar (total: 12.2s)

sample207.0ms

Algorithm
intervals
Results
78.0ms165×body160valid
36.0ms518×pre80true
36.0ms262×body80nan
14.0ms32×body320valid
9.0ms59×body80valid

simplify107.0ms

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: 43.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3 a) c))
0.2b
(* (* 3 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
40.0b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite167.0ms

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))
20.0ms
(* (* 3 a) c)
93.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
45.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series375.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (* b b) (* (* 3 a) c))
34.0ms
(* (* 3 a) c)
154.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
119.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.2s

Counts
91 → 91
Iterations
IterNodes
done2000
32000
21459
1424
0158

prune481.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.4b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune55.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.4b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

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:
16.0ms
(/ (* a c) b)
13.0ms
(* -3/2 (/ (* a c) b))
19.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series126.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (* a c) b)
51.0ms
(* -3/2 (/ (* a c) b))
39.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify874.0ms

Counts
90 → 90
Iterations
IterNodes
done2001
22001
1382
0126

prune439.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 5.3b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
207×times-frac
109×sqrt-prod
99×add-sqr-sqrt
91×*-un-lft-identity add-cube-cbrt
77×add-cbrt-cube add-exp-log
64×associate-*r*
32×cbrt-undiv div-exp
22×prod-exp cbrt-unprod
17×div-inv
13×associate-/r*
12×associate-/l*
6×pow1
4×insert-posit16 add-log-exp
3×clear-num frac-2neg associate-*l* unswap-sqr
2×associate-*r/ associate-/l/
1×pow-prod-down *-commutative
Counts
4 → 246
Calls
4 calls:
43.0ms
(* -3/2 (/ (/ (* a c) (sqrt b)) (sqrt b)))
26.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))
20.0ms
(/ (* a c) (sqrt b))
41.0ms
(/ (* -3/2 (/ (/ (* a c) (sqrt b)) (sqrt b))) (* 3 a))

series281.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* -3/2 (/ (/ (* a c) (sqrt b)) (sqrt b)))
60.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))
84.0ms
(/ (* a c) (sqrt b))
57.0ms
(/ (* -3/2 (/ (/ (* a c) (sqrt b)) (sqrt b))) (* 3 a))

simplify992.0ms

Counts
258 → 258
Iterations
IterNodes
done2002
22002
1898
0309

prune909.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 5.3b

regimes846.0ms

Accuracy

0% (7.0b remaining)

Error of 11.9b against oracle of 5.0b and baseline of 11.9b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.4s16276×pre80true
1.2s4798×body160valid
1.1s8276×body80nan
470.0ms1400×body320valid
220.0ms1802×body80valid