Details

Time bar (total: 14.7s)

sample556.0ms

Algorithm
intervals
Results
333.0ms104×body160valid
27.0ms255×body80nan
26.0ms98×body320valid
20.0ms511×pre80true
9.0ms25×body640valid
3.0ms29×body80valid

simplify155.0ms

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

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.8b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* 4.0 (* c a))))
0.0b
(- (* b b) (* 4.0 (* c a)))
0.1b
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
29.0b
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

rewrite194.0ms

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:
15.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
14.0ms
(- (* b b) (* 4.0 (* c a)))
85.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
71.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

series487.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
71.0ms
(- (* b b) (* 4.0 (* c a)))
184.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
132.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

simplify2.1s

Counts
195 → 195
Iterations
IterNodes
done5002
22305
1797
0321

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.2b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune83.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.2b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:
22.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
15.0ms
(/ (* a c) b)

series63.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)
24.0ms
(/ (* a c) b)

simplify1.5s

Counts
83 → 83
Iterations
IterNodes
done5026
21950
1459
0171

prune598.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(log1p (/ (* a c) b))
0.3b
(/ (/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) 2.0) a)
0.3b
(/ (* a c) b)
0.3b
(expm1 (log1p (/ (* a c) b)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×add-cbrt-cube add-exp-log
associate-/l*
cbrt-undiv div-exp
associate-/r* div-inv
expm1-log1p-u
pow1 log1p-expm1-u add-log-exp
clear-num frac-2neg prod-exp cbrt-unprod
log1p-udef expm1-log1p log1p-expm1 expm1-udef associate-/l/
Counts
4 → 95
Calls
4 calls:
0.0ms
(log1p (/ (* a c) b))
14.0ms
(/ (/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) 2.0) a)
14.0ms
(/ (* a c) b)
0.0ms
(expm1 (log1p (/ (* a c) b)))

series358.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(log1p (/ (* a c) b))
120.0ms
(/ (/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) 2.0) a)
33.0ms
(/ (* a c) b)
126.0ms
(expm1 (log1p (/ (* a c) b)))

simplify1.6s

Counts
107 → 107
Iterations
IterNodes
done5005
21692
1493
0206

prune653.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.2b

regimes724.0ms

Accuracy

0% (3.7b remaining)

Error of 6.4b against oracle of 2.7b and baseline of 6.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.2s16248×pre80true
936.0ms3594×body320valid
755.0ms8248×body80nan
495.0ms2946×body160valid
196.0ms524×body640valid
66.0ms936×body80valid