Details

Time bar (total: 13.1s)

sample90.0ms

Algorithm
intervals
Results
20.0ms157×body160valid
17.0ms275×body80nan
14.0ms531×pre80true
9.0ms47×body320valid
3.0ms52×body80valid

simplify137.0ms

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.9b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* 4.0 (* c a))))
0.1b
(- (* b b) (* 4.0 (* c a)))
0.2b
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
39.2b
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

rewrite193.0ms

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:
14.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
12.0ms
(- (* b b) (* 4.0 (* c a)))
94.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
60.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

series361.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
50.0ms
(- (* b b) (* 4.0 (* c a)))
114.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
118.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

simplify1.9s

Counts
195 → 195
Iterations
IterNodes
done5002
22305
1797
0321

prune1.3s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.1b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune138.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 5.1b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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:
37.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
15.0ms
(/ (* a c) b)

series63.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
25.0ms
(/ (* a c) b)

simplify1.6s

Counts
83 → 83
Iterations
IterNodes
done5026
21950
1459
0171

prune658.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 5.1b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:
18.0ms
(/ (/ (* -2.0 (/ (* c a) b)) 2.0) a)
15.0ms
(/ (* c a) b)

series42.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (/ (* -2.0 (/ (* c a) b)) 2.0) a)
20.0ms
(/ (* c a) b)

simplify1.3s

Counts
83 → 83
Iterations
IterNodes
done5004
21807
1458
0174

prune385.0ms

Pruning

31 alts after pruning (29 fresh and 2 done)

Merged error: 5.1b

regimes757.0ms

Accuracy

0% (6.7b remaining)

Error of 11.8b against oracle of 5.1b and baseline of 11.8b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.2s8307×body80nan
963.0ms4801×body160valid
677.0ms16307×pre80true
307.0ms1464×body320valid
175.0ms1735×body80valid