Details

Time bar (total: 14.3s)

sample403.0ms

Algorithm
intervals
Results
108.0ms116×body320valid
43.0ms267×body80nan
40.0ms523×pre80true
33.0ms95×body160valid
12.0ms18×body640valid
5.0ms27×body80valid

simplify176.0ms

Counts
1 → 1
Iterations
IterNodes
done105
7105
6104
5102
494
377
244
125
014

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 53.3b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4 a) c)))
0.1b
(- (* b b) (* (* 4 a) c))
0.1b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
26.7b
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
11×add-sqr-sqrt
10×fma-def add-cube-cbrt add-log-exp
add-cbrt-cube add-exp-log
distribute-rgt-neg-in distribute-lft-out
pow1 times-frac associate-/l*
expm1-log1p-u insert-posit16 log1p-expm1-u
distribute-lft-neg-in sqrt-prod
neg-sub0 cbrt-undiv sum-log flip3-+ flip3-- sqrt-div div-exp associate-+l- flip-+ flip-- associate-/l/
+-commutative rem-sqrt-square clear-num associate-/r* neg-mul-1 sub-neg frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub prod-diff neg-log prod-exp cbrt-unprod div-inv
Counts
4 → 94
Calls
4 calls:
22.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
21.0ms
(- (* b b) (* (* 4 a) c))
97.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
36.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

series543.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
82.0ms
(- (* b b) (* (* 4 a) c))
181.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
160.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify1.1s

Counts
106 → 106
Iterations
IterNodes
done2000
32000
21454
1435
0166

prune762.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.8b

localize16.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune86.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.8b

localize30.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(/ (* -2 (/ (* a c) b)) (* 2 a))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
39×add-cbrt-cube add-exp-log
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 57
Calls
2 calls:
15.0ms
(/ (* a c) b)
26.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))

series62.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (* a c) b)
32.0ms
(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify1.1s

Counts
63 → 63
Iterations
IterNodes
done2004
22004
1346
0113

prune351.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.7b

localize26.0ms

Local error

Found 2 expressions with local error:

0.3b
(* a (/ c b))
0.3b
(/ (* -2 (* a (/ c b))) (* 2 a))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
39×add-cbrt-cube add-exp-log
16×prod-exp cbrt-unprod
15×add-sqr-sqrt
13×associate-*r*
11×cbrt-undiv times-frac div-exp
10×*-un-lft-identity add-cube-cbrt
pow1
associate-*l* associate-*r/
expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
clear-num associate-/r* frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
2 → 68
Calls
2 calls:
10.0ms
(* a (/ c b))
51.0ms
(/ (* -2 (* a (/ c b))) (* 2 a))

series50.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* a (/ c b))
22.0ms
(/ (* -2 (* a (/ c b))) (* 2 a))

simplify1.0s

Counts
74 → 74
Iterations
IterNodes
done2000
22000
1387
0134

prune351.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.7b

regimes748.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
04

end0.0ms

sample7.1s

Algorithm
intervals
Results
2.0s16230×pre80true
1.6s3607×body320valid
1.6s8230×body80nan
938.0ms2950×body160valid
342.0ms546×body640valid
128.0ms897×body80valid