Details

Time bar (total: 22.3s)

sample95.0ms

Algorithm
intervals
Results
19.0ms163×body160valid
14.0ms492×pre80true
14.0ms236×body80nan
6.0ms37×body320valid
4.0ms56×body80valid

simplify334.0ms

Counts
1 → 1
Iterations
IterNodes
done94
794
693
591
483
368
239
121
012

prune35.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.7b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
38.8b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite299.0ms

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:
20.0ms
(- (* b b) (* (* 3.0 a) c))
45.0ms
(* (* 3.0 a) c)
143.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
83.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series457.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(- (* b b) (* (* 3.0 a) c))
47.0ms
(* (* 3.0 a) c)
191.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
125.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify3.1s

Counts
91 → 91
Iterations
IterNodes
done5001
21437
1418
0159

prune1.4s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.1b

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

prune235.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.1b

localize27.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite85.0ms

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)
42.0ms
(* -1.5 (/ (* a c) b))
26.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series170.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (* a c) b)
75.0ms
(* -1.5 (/ (* a c) b))
44.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify3.6s

Counts
90 → 90
Iterations
IterNodes
done5054
22242
1389
0126

prune1.6s

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* 3.0 a) b)
0.3b
(* -1.5 (* a c))
0.4b
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

rewrite166.0ms

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:
38.0ms
(* (* 3.0 a) b)
41.0ms
(* -1.5 (* a c))
83.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

series117.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* (* 3.0 a) b)
29.0ms
(* -1.5 (* a c))
41.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

simplify3.9s

Counts
79 → 79
Iterations
IterNodes
done5006
22545
1359
0110

prune627.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.0b

regimes2.4s

Accuracy

12.4% (6.2b remaining)

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

bsearch66.0ms

Steps
ItersRangePoint
3
0.001235527435550306
0.0015236040748043695
0.0012535322255036849

simplify21.0ms

Iterations
IterNodes
done33
133
024

end0.0ms

sample3.6s

Algorithm
intervals
Results
994.0ms7913×body80nan
797.0ms4818×body160valid
550.0ms15913×pre80true
385.0ms1319×body320valid
156.0ms1863×body80valid