Details

Time bar (total: 6.4s)

sample55.0ms

Algorithm
intervals
Results
11.0ms329×body80nan
11.0ms153×body160valid
11.0ms585×pre80true
4.0ms103×body80valid

simplify50.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01417
12517
24516
38716
410616
511416
done11416

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
29.3b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite76.0ms

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-exp-log add-cbrt-cube
add-log-exp
fma-neg
pow1 div-inv
expm1-log1p-u log1p-expm1-u
cbrt-undiv flip3-- div-exp associate-/r* flip--
sub-neg sqrt-div diff-log div-sub
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 183
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(- (* b b) (* (* 4.0 a) c))
36.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
22.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series296.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
43.0ms
(- (* b b) (* (* 4.0 a) c))
107.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
76.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify981.0ms

Counts
195 → 195
Iterations

Useful iterations: done (974.0ms)

IterNodesCost
03214967
17804592
230174265
done50014264

prune501.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 9.8b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune60.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 9.8b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-exp-log add-cbrt-cube
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×cbrt-undiv div-exp
associate-/l*
associate-/r* div-inv
prod-exp cbrt-unprod
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 77
Calls
2 calls:
9.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
3.0ms
(/ (* a c) b)

series42.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
23.0ms
(/ (* a c) b)

simplify740.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (149.0ms)

IterNodesCost
01711200
14591154
22303992
done5001992

prune228.0ms

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 9.7b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
16×associate-/r*
15×cbrt-undiv div-exp
10×div-inv associate-/l*
prod-exp cbrt-unprod
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
associate-/r/ associate-/l/
Counts
2 → 126
Calls
2 calls:
4.0ms
(/ a (/ b c))
10.0ms
(/ (/ (* -2.0 (/ a (/ b c))) 2.0) a)

series40.0ms

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

simplify971.0ms

Counts
132 → 132
Iterations

Useful iterations: 2 (228.0ms)

IterNodesCost
02691894
16641788
233071616
done50011616

prune268.0ms

Pruning

44 alts after pruning (44 fresh and 0 done)

Merged error: 9.7b

regimes607.0ms

Accuracy

45.1% (7.4b remaining)

Error of 16.4b against oracle of 9.0b and baseline of 22.5b

bsearch4.0ms

Steps
ItersRangePoint
0
228.11766252751497
228.40791225309218
228.26278739030357

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02238
12638
done2638

end0.0ms

sample1.4s

Algorithm
intervals
Results
331.0ms4500×body160valid
298.0ms16575×pre80true
295.0ms8575×body80nan
129.0ms3500×body80valid