Details

Time bar (total: 18.4s)

sample127.0ms

Algorithm
intervals
Results
24.0ms148×body160valid
23.0ms286×body80nan
21.0ms542×pre80true
15.0ms59×body320valid
4.0ms49×body80valid

simplify212.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.9b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
38.9b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite277.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-log-exp
pow1
add-sqr-sqrt add-cube-cbrt
distribute-lft-out
times-frac associate-/l*
prod-exp cbrt-unprod
distribute-rgt-neg-in associate-*r* pow-prod-down
cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*l* neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 73
Calls
4 calls:
18.0ms
(- (* b b) (* (* 3.0 a) c))
41.0ms
(* (* 3.0 a) c)
151.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
63.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series557.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- (* b b) (* (* 3.0 a) c))
38.0ms
(* (* 3.0 a) c)
226.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
196.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.9s

Counts
85 → 85
Iterations
IterNodes
done5002
21504
1427
0154

prune878.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.4b

localize12.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune118.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.4b

localize31.0ms

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))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
times-frac associate-*r*
pow1
associate-/r*
associate-*l* div-inv add-log-exp
frac-2neg associate-*r/ clear-num associate-/l*
pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 78
Calls
3 calls:
19.0ms
(/ (* a c) b)
50.0ms
(* -1.5 (/ (* a c) b))
47.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series138.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (* a c) b)
50.0ms
(* -1.5 (/ (* a c) b))
42.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify2.5s

Counts
87 → 87
Iterations
IterNodes
done5058
22216
1371
0123

prune713.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 4.3b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
24×prod-exp cbrt-unprod
13×pow1
cbrt-undiv div-exp
pow-prod-down
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r* associate-*l*
add-log-exp
*-commutative
frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
3 → 67
Calls
3 calls:
35.0ms
(* (* 3.0 a) b)
67.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))
37.0ms
(* -1.5 (* a c))

series109.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* (* 3.0 a) b)
32.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))
41.0ms
(* -1.5 (* a c))

simplify2.8s

Counts
76 → 76
Iterations
IterNodes
done5005
22473
1326
0107

prune372.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 4.3b

regimes1.6s

Accuracy

29.4% (4.9b remaining)

Error of 10.1b against oracle of 5.3b and baseline of 12.2b

bsearch8.0ms

simplify16.0ms

Iterations
IterNodes
done41
141
030

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.5s16304×pre80true
1.2s4842×body160valid
781.0ms8304×body80nan
415.0ms1331×body320valid
151.0ms1827×body80valid