Details

Time bar (total: 26.5s)

sample106.0ms

Algorithm
intervals
Results
37.0ms544×pre80true
21.0ms288×body80nan
20.0ms134×body160valid
11.0ms122×body80valid

simplify100.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3 a) c))
0.3b
(* (* 3 a) c)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
26.7b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite151.0ms

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:
7.0ms
(- (* b b) (* (* 3 a) c))
15.0ms
(* (* 3 a) c)
85.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
42.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series370.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (* b b) (* (* 3 a) c))
34.0ms
(* (* 3 a) c)
158.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
118.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.3s

Counts
91 → 91
Iterations
IterNodes
36088
21502
1424
0158

prune1.0s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.5b

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

prune63.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 8.5b

localize14.0ms

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))

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:
11.0ms
(/ (* a c) b)
16.0ms
(* -3/2 (/ (* a c) b))
18.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series84.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (* a c) b)
30.0ms
(* -3/2 (/ (* a c) b))
31.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify10.6s

Counts
90 → 90
Iterations
IterNodes
314826
21821
1365
0126

prune814.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 8.4b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b
(* -3/2 (* a c))
0.4b
(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))
0.4b
(* (* -3/2 (* a c)) (/ 1 b))

rewrite152.0ms

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:
29.0ms
(* -3/2 (* a c))
66.0ms
(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))
53.0ms
(* (* -3/2 (* a c)) (/ 1 b))

series107.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* -3/2 (* a c))
25.0ms
(/ (* (* -3/2 (* a c)) (/ 1 b)) (* 3 a))
52.0ms
(* (* -3/2 (* a c)) (/ 1 b))

simplify826.0ms

Counts
130 → 130
Iterations
IterNodes
23040
1534
0184

prune936.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 8.4b

regimes1.2s

Accuracy

49.7% (6.9b remaining)

Error of 16.1b against oracle of 9.2b and baseline of 22.9b

bsearch20.0ms

Steps
ItersRangePoint
1
1960.6498567774931
2064.90294852409
1984.600261148631

simplify5.0ms

Iterations
IterNodes
235
135
025

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.2s4443×body160valid
1.0s8774×body80nan
1.0s16774×pre80true
463.0ms3557×body80valid