Details

Time bar (total: 33.8s)

sample172.0ms

Algorithm
intervals
Results
44.0ms261×body80nan
44.0ms121×body320valid
30.0ms517×pre80true
20.0ms84×body160valid
8.0ms16×body640valid
4.0ms35×body80valid

simplify132.0ms

Counts
1 → 1
Iterations
IterNodes
8102
7102
6101
599
491
373
241
122
012

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
0.2b
(* (* 3 a) c)
26.5b
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
14×add-cbrt-cube add-exp-log
10×add-sqr-sqrt fma-def add-cube-cbrt add-log-exp
pow1
distribute-rgt-neg-in distribute-lft-out
times-frac associate-/l*
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
distribute-lft-neg-in associate-*r* pow-prod-down
neg-sub0 cbrt-undiv sum-log flip3-+ div-exp associate-+l- flip-+ associate-/l/
+-commutative clear-num associate-/r* neg-mul-1 sub-neg frac-2neg flip3-- fma-neg diff-log div-sub associate-*l* prod-diff neg-log *-commutative div-inv flip--
Counts
4 → 93
Calls
4 calls:
7.0ms
(- (* b b) (* (* 3 a) c))
54.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
13.0ms
(* (* 3 a) c)
13.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (* b b) (* (* 3 a) c))
144.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
21.0ms
(* (* 3 a) c)
120.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify4.6s

Counts
105 → 105
Iterations
IterNodes
36200
21575
1459
0166

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.7b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune65.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.7b

localize30.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -3/2 (/ (* a c) b))
0.3b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
times-frac associate-*r*
pow1
associate-/r*
expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 84
Calls
3 calls:
8.0ms
(/ (* a c) b)
22.0ms
(* -3/2 (/ (* a c) b))
38.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series94.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (* a c) b)
36.0ms
(* -3/2 (/ (* a c) b))
22.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify13.8s

Counts
93 → 93
Iterations
IterNodes
316707
21916
1374
0129

prune828.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* -1/2 (/ c (/ b a))) a)
0.2b
(/ c (/ b a))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
46×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
21×add-cbrt-cube add-exp-log
16×associate-/r*
10×cbrt-undiv div-exp
div-inv
associate-/l*
prod-exp cbrt-unprod
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
associate-*r/ associate-/r/ associate-/l/
Counts
2 → 100
Calls
2 calls:
12.0ms
(/ (* -1/2 (/ c (/ b a))) a)
5.0ms
(/ c (/ b a))

series38.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(/ (* -1/2 (/ c (/ b a))) a)
23.0ms
(/ c (/ b a))

simplify5.1s

Counts
106 → 106
Iterations
IterNodes
37526
21594
1515
0199

prune840.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.6b

regimes511.0ms

Accuracy

0% (3.6b remaining)

Error of 6.4b against oracle of 2.8b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
26
16
05

end0.0ms

sample5.9s

Algorithm
intervals
Results
1.5s3589×body320valid
1.4s16208×pre80true
989.0ms8208×body80nan
816.0ms2924×body160valid
313.0ms523×body640valid
104.0ms964×body80valid