Details

Time bar (total: 13.4s)

sample114.0ms

Algorithm
intervals
Results
34.0ms137×body160valid
22.0ms321×body80nan
17.0ms577×pre80true
8.0ms119×body80valid

simplify109.0ms

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

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* 4.0 (* c a))))
0.3b
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
0.3b
(- (* b b) (* 4.0 (* c a)))
26.9b
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

rewrite146.0ms

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--
add-cbrt-cube add-exp-log
add-log-exp
fma-neg
pow1 div-inv
expm1-log1p-u log1p-expm1-u
cbrt-undiv associate-/r* flip3-- div-exp flip--
sub-neg sqrt-div diff-log div-sub
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))))
71.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
10.0ms
(- (* b b) (* 4.0 (* c a)))
49.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

series439.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
147.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
59.0ms
(- (* b b) (* 4.0 (* c a)))
112.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

simplify1.9s

Counts
195 → 195
Iterations
IterNodes
done5001
22320
1798
0321

prune969.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 9.1b

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

prune193.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 9.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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
associate-/l*
associate-/r* div-inv
prod-exp cbrt-unprod
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 77
Calls
2 calls:
7.0ms
(/ (* a c) b)
24.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

series49.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (* a c) b)
25.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

simplify1.5s

Counts
83 → 83
Iterations
IterNodes
done5049
21836
1456
0171

prune703.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 9.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (/ b (* a c)))
0.3b
(/ b (* a c))
0.3b
(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
86×add-exp-log
69×times-frac
49×div-exp
44×add-cbrt-cube
37×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
23×cbrt-undiv
17×prod-exp
13×associate-/l*
11×associate-/r* div-inv
cbrt-unprod
rec-exp 1-exp
pow1
expm1-log1p-u clear-num frac-2neg log1p-expm1-u add-log-exp
associate-/r/ pow-flip inv-pow associate-/l/
Counts
3 → 143
Calls
3 calls:
20.0ms
(/ 1 (/ b (* a c)))
10.0ms
(/ b (* a c))
53.0ms
(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)

series93.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (/ b (* a c)))
37.0ms
(/ b (* a c))
18.0ms
(/ (/ (* -2.0 (/ 1 (/ b (* a c)))) 2.0) a)

simplify1.8s

Counts
152 → 152
Iterations
IterNodes
done5040
22398
1673
0266

prune680.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 9.0b

regimes1.1s

Accuracy

44.8% (7.5b remaining)

Error of 16.6b against oracle of 9.1b and baseline of 22.8b

bsearch4.0ms

Steps
ItersRangePoint
0
77.28833020321753
78.41867601841196
77.85350311081474

simplify5.0ms

Iterations
IterNodes
done30
130
024

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.0s4483×body160valid
730.0ms8708×body80nan
707.0ms16708×pre80true
306.0ms3517×body80valid