Details

Time bar (total: 13.7s)

sample92.0ms

Algorithm
intervals
Results
31.0ms136×body160valid
16.0ms293×body80nan
14.0ms549×pre80true
6.0ms120×body80valid

simplify78.0ms

Counts
1 → 1
Iterations
IterNodes
done105
7105
6104
5102
494
379
243
125
014

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* 4.0 (* c a))))
0.2b
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
0.3b
(- (* b b) (* 4.0 (* c a)))
27.0b
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
135×add-sqr-sqrt
108×*-un-lft-identity
82×add-cube-cbrt
28×sqrt-prod
26×difference-of-squares
22×associate-/l*
19×prod-diff
13×distribute-lft-out--
9×add-cbrt-cube add-exp-log
8×add-log-exp
7×fma-neg
5×pow1 div-inv
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv associate-/r* flip3-- div-exp flip--
2×sub-neg sqrt-div diff-log div-sub
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 183
Calls
4 calls:
9.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
60.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
7.0ms
(- (* b b) (* 4.0 (* c a)))
51.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

series405.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
166.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
53.0ms
(- (* b b) (* 4.0 (* c a)))
90.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

simplify2.1s

Counts
195 → 195
Iterations
IterNodes
done5001
22320
1798
0321

prune1.4s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 9.3b

localize10.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune163.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 9.3b

localize28.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
0.2b
(/ (* a c) b)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-cbrt-cube add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-undiv div-exp
8×associate-/l*
6×associate-/r* div-inv
5×prod-exp cbrt-unprod
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 77
Calls
2 calls:
22.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
8.0ms
(/ (* a c) b)

series52.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
29.0ms
(/ (* a c) b)

simplify1.5s

Counts
83 → 83
Iterations
IterNodes
done5026
21950
1459
0171

prune771.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 9.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (* -2.0 (* a (/ c b))) 2.0) a)
0.3b
(* a (/ c b))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
43×times-frac
31×add-sqr-sqrt
27×add-cbrt-cube add-exp-log
26×*-un-lft-identity add-cube-cbrt
13×associate-*r*
11×cbrt-undiv div-exp
7×prod-exp cbrt-unprod associate-/l*
6×div-inv
4×pow1
3×associate-/r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
2 → 88
Calls
2 calls:
31.0ms
(/ (/ (* -2.0 (* a (/ c b))) 2.0) a)
11.0ms
(* a (/ c b))

series74.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (/ (* -2.0 (* a (/ c b))) 2.0) a)
36.0ms
(* a (/ c b))

simplify1.6s

Counts
94 → 94
Iterations
IterNodes
done5066
22051
1503
0189

prune534.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 9.2b

regimes1.1s

Accuracy

46.7% (7.4b remaining)

Error of 16.3b against oracle of 8.9b and baseline of 22.8b

bsearch23.0ms

Steps
ItersRangePoint
2
5947.889350432351
6490.535287589524
6015.720092576998

simplify10.0ms

Iterations
IterNodes
done30
130
024

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.2s4454×body160valid
801.0ms8719×body80nan
559.0ms16719×pre80true
392.0ms3546×body80valid