Details

Time bar (total: 12.4s)

sample175.0ms

Algorithm
intervals
Results
40.0ms124×body320valid
37.0ms83×body160valid
31.0ms298×body80nan
29.0ms554×pre80true
9.0ms21×body640valid
3.0ms28×body80valid

simplify81.0ms

Counts
1 → 1
Iterations
IterNodes
done102
7102
6101
599
491
373
241
122
012

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.6b

localize25.0ms

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))
0.3b
(* (* 3 a) c)
25.4b
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite132.0ms

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 insert-posit16 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 → 97
Calls
4 calls:
8.0ms
(- (* b b) (* (* 3 a) c))
67.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
28.0ms
(* (* 3 a) c)
27.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series387.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (* b b) (* (* 3 a) c))
174.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
26.0ms
(* (* 3 a) c)
107.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify1.2s

Counts
109 → 109
Iterations
IterNodes
done2000
32000
21591
1468
0170

prune682.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.2b

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune66.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.3b
(* -3/2 (/ (* a c) b))
0.3b
(/ (* a c) b)
0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite77.0ms

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* insert-posit16 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 → 87
Calls
3 calls:
21.0ms
(* -3/2 (/ (* a c) b))
18.0ms
(/ (* a c) b)
35.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series98.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* -3/2 (/ (* a c) b))
35.0ms
(/ (* a c) b)
23.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify879.0ms

Counts
96 → 96
Iterations
IterNodes
done2002
22002
1396
0132

prune445.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
associate-/l*
cbrt-undiv div-exp
associate-/r* div-inv
expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 75
Calls
2 calls:
10.0ms
(/ (/ (* a c) b) a)
9.0ms
(/ (* a c) b)

series54.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (/ (* a c) b) a)
35.0ms
(/ (* a c) b)

simplify961.0ms

Counts
81 → 81
Iterations
IterNodes
done2074
32074
2999
1305
0123

prune354.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.1b

regimes748.0ms

Accuracy

0% (3.6b remaining)

Error of 6.2b against oracle of 2.6b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample6.0s

Algorithm
intervals
Results
1.4s3579×body320valid
1.2s2933×body160valid
992.0ms15922×pre80true
972.0ms7922×body80nan
806.0ms541×body640valid
170.0ms947×body80valid