Details

Time bar (total: 18.3s)

sample141.0ms

Algorithm
intervals
Results
53.0ms172×body160valid
23.0ms287×body80nan
19.0ms543×pre80true
7.0ms84×body80valid

simplify206.0ms

Counts
1 → 1
Iterations
IterNodes
done104
7104
6103
5101
493
378
243
125
014

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* a 4.0) c)))
0.2b
(- (* b b) (* (* a 4.0) c))
0.3b
(/ (- (sqrt (- (* b b) (* (* a 4.0) c))) b) (* 2.0 a))
33.3b
(- (sqrt (- (* b b) (* (* a 4.0) c))) b)

rewrite369.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
19×prod-diff
18×sqrt-prod
add-exp-log add-cbrt-cube
add-log-exp
fma-neg
times-frac associate-/l* difference-of-squares
pow1
expm1-log1p-u flip3-- flip-- log1p-expm1-u
distribute-lft-out--
cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 106
Calls
4 calls:
21.0ms
(sqrt (- (* b b) (* (* a 4.0) c)))
16.0ms
(- (* b b) (* (* a 4.0) c))
212.0ms
(/ (- (sqrt (- (* b b) (* (* a 4.0) c))) b) (* 2.0 a))
113.0ms
(- (sqrt (- (* b b) (* (* a 4.0) c))) b)

series566.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(sqrt (- (* b b) (* (* a 4.0) c)))
99.0ms
(- (* b b) (* (* a 4.0) c))
196.0ms
(/ (- (sqrt (- (* b b) (* (* a 4.0) c))) b) (* 2.0 a))
145.0ms
(- (sqrt (- (* b b) (* (* a 4.0) c))) b)

simplify2.8s

Counts
118 → 118
Iterations
IterNodes
done5000
21833
1518
0195

prune1.0s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.8b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune179.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 8.8b

localize27.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 55
Calls
2 calls:
27.0ms
(/ (* a c) b)
45.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series94.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (* a c) b)
49.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify2.3s

Counts
61 → 61
Iterations
IterNodes
done5122
22007
1340
0111

prune667.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 8.6b

localize29.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* (* -2.0 (/ (* a c) b)) (/ 1 (* 2.0 a)))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
125×add-exp-log
69×prod-exp
61×add-cbrt-cube
32×div-exp
29×cbrt-unprod
16×cbrt-undiv
rec-exp 1-exp
pow1 associate-*r*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
associate-*r/ pow-prod-down associate-/r*
expm1-log1p-u log1p-expm1-u div-inv add-log-exp
frac-times frac-2neg associate-*l* associate-*l/ clear-num un-div-inv *-commutative associate-/l*
Counts
2 → 87
Calls
2 calls:
17.0ms
(/ (* a c) b)
142.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 (* 2.0 a)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (* a c) b)
47.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 (* 2.0 a)))

simplify2.6s

Counts
93 → 93
Iterations
IterNodes
done5032
22012
1482
0162

prune439.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 8.6b

regimes1.3s

Accuracy

38% (8.5b remaining)

Error of 17.5b against oracle of 9.0b and baseline of 22.7b

bsearch51.0ms

Steps
ItersRangePoint
2
14.193822051518955
16.025676482670104
14.421199075245967

simplify13.0ms

Iterations
IterNodes
done39
139
028

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.1s4529×body160valid
943.0ms8623×body80nan
818.0ms16623×pre80true
499.0ms3471×body80valid