Details

Time bar (total: 28.4s)

sample173.0ms

Algorithm
intervals
Results
44.0ms147×body160valid
42.0ms552×pre80true
42.0ms296×body80nan
17.0ms109×body80valid

simplify104.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize37.0ms

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

rewrite173.0ms

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))
14.0ms
(* (* 3 a) c)
110.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
41.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series341.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (* b b) (* (* 3 a) c))
23.0ms
(* (* 3 a) c)
140.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
114.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify5.9s

Counts
91 → 91
Iterations
IterNodes
36170
21501
1422
0158

prune761.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.0b

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

prune54.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.0b

localize15.0ms

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))

rewrite80.0ms

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:
18.0ms
(/ (* a c) b)
29.0ms
(* -3/2 (/ (* a c) b))
31.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series108.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (* a c) b)
42.0ms
(* -3/2 (/ (* a c) b))
38.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify11.9s

Counts
90 → 90
Iterations
IterNodes
315215
21842
1363
0126

prune581.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 8.9b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l* associate-/l*
2×associate-*r/ insert-posit16 div-inv add-log-exp unswap-sqr
1×clear-num associate-/r* frac-2neg pow-prod-down associate-/r/ *-commutative
Counts
2 → 58
Calls
2 calls:
15.0ms
(/ -3/2 (* 3 (/ b c)))
18.0ms
(* 3 (/ b c))

series72.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ -3/2 (* 3 (/ b c)))
39.0ms
(* 3 (/ b c))

simplify1.4s

Counts
64 → 64
Iterations
IterNodes
32306
2694
1264
0108

prune341.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 8.9b

regimes1.3s

Accuracy

47% (7.2b remaining)

Error of 16.2b against oracle of 9.0b and baseline of 22.6b

bsearch17.0ms

Steps
ItersRangePoint
1
2613.6351163624354
2762.567042685954
2650.8680979433148

simplify5.0ms

Iterations
IterNodes
235
135
025

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.3s4503×body160valid
1.1s8407×body80nan
994.0ms16407×pre80true
971.0ms3497×body80valid