Details

Time bar (total: 17.6s)

sample135.0ms

Algorithm
intervals
Results
47.0ms172×body160valid
24.0ms287×body80nan
19.0ms543×pre80true
7.0ms84×body80valid

simplify250.0ms

Counts
1 → 1
Iterations
IterNodes
done97
797
696
594
486
371
242
124
014

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite315.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 72
Calls
4 calls:
17.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
18.0ms
(- (* b b) (* (* c a) 4.0))
178.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) (* 2.0 a))
92.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series534.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
77.0ms
(- (* b b) (* (* c a) 4.0))
184.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) (* 2.0 a))
148.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify2.6s

Counts
84 → 84
Iterations
IterNodes
done5006
21314
1399
0154

prune863.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.8b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune165.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 8.8b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×pow1 frac-2neg clear-num div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 51
Calls
2 calls:
31.0ms
(/ (* a c) b)
44.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series73.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (* a c) b)
37.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify2.6s

Counts
57 → 57
Iterations
IterNodes
done5032
22035
1327
0107

prune590.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 8.7b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite173.0ms

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
8×rec-exp 1-exp
7×pow1 associate-*r*
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×associate-*r/ pow-prod-down associate-/r*
2×div-inv add-log-exp
1×frac-times frac-2neg associate-*l* associate-*l/ clear-num un-div-inv *-commutative associate-/l*
Counts
2 → 83
Calls
2 calls:
19.0ms
(/ (* a c) b)
145.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 (* 2.0 a)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (* a c) b)
46.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 (* 2.0 a)))

simplify2.6s

Counts
89 → 89
Iterations
IterNodes
done5020
22017
1456
0158

prune356.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 8.7b

regimes1.2s

Accuracy

38.2% (8.4b remaining)

Error of 17.5b against oracle of 9.1b and baseline of 22.7b

bsearch35.0ms

Steps
ItersRangePoint
2
14.193822051518955
16.025676482670104
14.421199075245967

simplify12.0ms

Iterations
IterNodes
done40
140
028

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.6s16623×pre80true
1.1s4529×body160valid
929.0ms8623×body80nan
357.0ms3471×body80valid