Details

Time bar (total: 30.3s)

sample128.0ms

Algorithm
intervals
Results
29.0ms149×body160valid
28.0ms107×body80valid
25.0ms280×body80nan
25.0ms536×pre80true

simplify77.0ms

Counts
1 → 1
Iterations
IterNodes
893
793
692
590
482
366
240
121
012

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize19.0ms

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))
29.7b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite135.0ms

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)
7.0ms
(- (* b b) (* (* 3 a) c))
72.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
37.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series330.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (* 3 a) c)
60.0ms
(- (* b b) (* (* 3 a) c))
134.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
110.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.1s

Counts
91 → 91
Iterations
IterNodes
35964
21476
1420
0158

prune500.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.6b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune76.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.6b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

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:
9.0ms
(/ (* a c) b)
23.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
13.0ms
(* -3/2 (/ (* a c) b))

series104.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (* a c) b)
33.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))
38.0ms
(* -3/2 (/ (* a c) b))

simplify14.2s

Counts
90 → 90
Iterations
IterNodes
316405
21883
1357
0126

prune374.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 8.5b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
22×add-exp-log
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×div-exp
10×add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-inv
3×rec-exp 1-exp prod-exp associate-/l*
2×pow1
1×clear-num frac-2neg associate-/r/ cbrt-unprod insert-posit16 pow-flip inv-pow add-log-exp
Counts
1 → 57
Calls
1 calls:
19.0ms
(/ 1 (/ b (* -1/2 c)))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(/ 1 (/ b (* -1/2 c)))

simplify3.2s

Counts
60 → 60
Iterations
IterNodes
33381
2821
1266
0114

prune135.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 8.5b

regimes931.0ms

Accuracy

44.2% (7.6b remaining)

Error of 16.6b against oracle of 9.1b and baseline of 22.6b

bsearch2.0ms

Steps
ItersRangePoint
0
2862.7645223887616
2921.618168739223
2892.1913455639924

simplify7.0ms

Iterations
IterNodes
237
137
027

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.4s8251×body80nan
1.2s4518×body160valid
892.0ms16251×pre80true
420.0ms3482×body80valid