Details

Time bar (total: 25.6s)

sample213.0ms

Algorithm
intervals
Results
68.0ms482×pre80true
29.0ms131×body320valid
15.0ms226×body80nan
13.0ms88×body160valid
4.0ms17×body640valid
1.0ms20×body80valid

simplify362.0ms

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

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 55.2b

localize85.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* 4.0 (* c a))))
0.1b
(- (* b b) (* 4.0 (* c a)))
0.1b
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
27.3b
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

rewrite337.0ms

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 insert-posit16 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 → 187
Calls
4 calls:
19.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
12.0ms
(- (* b b) (* 4.0 (* c a)))
143.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
128.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

series696.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
101.0ms
(- (* b b) (* 4.0 (* c a)))
209.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
218.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

simplify4.6s

Counts
199 → 199
Iterations
IterNodes
done5006
22234
1798
0325

prune2.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.1b

localize12.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune139.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.1b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 79
Calls
2 calls:
20.0ms
(/ (* a c) b)
31.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

series90.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (* a c) b)
55.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

simplify3.6s

Counts
85 → 85
Iterations
IterNodes
done5039
21956
1459
0173

prune1.2s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

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 insert-posit16 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 → 99
Calls
4 calls:
2.0ms
(log1p (/ (* a c) b))
30.0ms
(/ (* a c) b)
2.0ms
(expm1 (log1p (/ (* a c) b)))
36.0ms
(/ (/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) 2.0) a)

series650.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(log1p (/ (* a c) b))
43.0ms
(/ (* a c) b)
221.0ms
(expm1 (log1p (/ (* a c) b)))
243.0ms
(/ (/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) 2.0) a)

simplify3.4s

Counts
111 → 111
Iterations
IterNodes
done5000
21763
1500
0210

prune1.4s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.0b

regimes1.6s

Accuracy

0% (3.3b remaining)

Error of 5.9b against oracle of 2.6b and baseline of 5.9b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.3s3636×body320valid
1.3s16128×pre80true
607.0ms8128×body80nan
492.0ms3006×body160valid
140.0ms482×body640valid
66.0ms876×body80valid