Details

Time bar (total: 11.7s)

sample80.0ms

Algorithm
intervals
Results
19.0ms512×pre80true
17.0ms141×body160valid
16.0ms256×body80nan
7.0ms115×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: 27.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3 a) c)
0.3b
(- (* b b) (* (* 3 a) c))
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
27.4b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite207.0ms

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:
17.0ms
(* (* 3 a) c)
8.0ms
(- (* b b) (* (* 3 a) c))
109.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
70.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series359.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* 3 a) c)
78.0ms
(- (* b b) (* (* 3 a) c))
130.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
115.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.6s

Counts
91 → 91
Iterations
IterNodes
done5001
21442
1422
0158

prune486.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 10.5b

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune79.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 10.5b

localize27.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -3/2 (/ (* a c) b))
0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite56.0ms

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:
10.0ms
(/ (* a c) b)
21.0ms
(* -3/2 (/ (* a c) b))
23.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series105.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (* a c) b)
45.0ms
(* -3/2 (/ (* a c) b))
21.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.5s

Counts
90 → 90
Iterations
IterNodes
done5010
22261
1382
0126

prune500.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 10.4b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

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:
21.0ms
(* (* 3 a) b)
18.0ms
(* -3/2 (* a c))
48.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

series86.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(* (* 3 a) b)
35.0ms
(* -3/2 (* a c))
29.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

simplify1.5s

Counts
79 → 79
Iterations
IterNodes
done5030
22594
1333
0110

prune249.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 10.3b

regimes1.0s

Accuracy

45% (7.5b remaining)

Error of 16.6b against oracle of 9.1b and baseline of 22.7b

bsearch5.0ms

Steps
ItersRangePoint
0
5056.833706873871
5248.096163707824
5152.464935290847

simplify10.0ms

Iterations
IterNodes
done40
140
029

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.1s8742×body80nan
867.0ms16742×pre80true
706.0ms4462×body160valid
409.0ms3538×body80valid