Details

Time bar (total: 11.6s)

sample128.0ms

Algorithm
intervals
Results
46.0ms163×body160valid
25.0ms492×pre80true
19.0ms236×body80nan
9.0ms37×body320valid
4.0ms56×body80valid

simplify81.0ms

Counts
1 → 1
Iterations
IterNodes
done93
793
692
590
482
366
240
121
012

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.3b
(* (* 3 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
38.8b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
pow1
add-log-exp
add-cube-cbrt
times-frac associate-/l* difference-of-squares
prod-exp cbrt-unprod insert-posit16
flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
cbrt-undiv sub-neg diff-log div-exp associate-/l/
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))
24.0ms
(* (* 3 a) c)
140.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
89.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series347.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* b b) (* (* 3 a) c))
35.0ms
(* (* 3 a) c)
139.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
123.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.4s

Counts
91 → 91
Iterations
IterNodes
done5000
21459
1424
0158

prune440.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.1b

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

prune56.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.1b

localize29.0ms

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))

rewrite67.0ms

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
*-un-lft-identity add-cube-cbrt
times-frac associate-*r*
pow1
associate-/r*
associate-*l* insert-posit16 div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
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))
36.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series89.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ (* a c) b)
35.0ms
(* -3/2 (/ (* a c) b))
33.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.4s

Counts
90 → 90
Iterations
IterNodes
done5010
22261
1382
0126

prune437.0ms

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 5.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
24×prod-exp cbrt-unprod
13×pow1
cbrt-undiv div-exp
pow-prod-down
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-*r* associate-*l*
insert-posit16 add-log-exp
*-commutative
clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
3 → 70
Calls
3 calls:
33.0ms
(* (* 3 a) b)
20.0ms
(* -3/2 (* a c))
39.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

series94.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(* (* 3 a) b)
25.0ms
(* -3/2 (* a c))
37.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

simplify1.8s

Counts
79 → 79
Iterations
IterNodes
done5030
22594
1333
0110

prune260.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.0b

regimes745.0ms

Accuracy

12.4% (6.2b remaining)

Error of 11.4b against oracle of 5.2b and baseline of 12.3b

bsearch58.0ms

Steps
ItersRangePoint
3
0.001235527435550306
0.0015236040748043695
0.0012535322255036849

simplify9.0ms

Iterations
IterNodes
done31
131
023

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.2s7913×body80nan
909.0ms4818×body160valid
766.0ms15913×pre80true
306.0ms1319×body320valid
136.0ms1863×body80valid