Details

Time bar (total: 10.8s)

sample170.0ms

Algorithm
intervals
Results
34.0ms312×body80nan
33.0ms146×body160valid
31.0ms568×pre80true
14.0ms40×body320valid
8.0ms70×body80valid

simplify91.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.2b
(* (* 3 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
38.5b
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite142.0ms

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:
13.0ms
(- (* b b) (* (* 3 a) c))
14.0ms
(* (* 3 a) c)
84.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
29.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series368.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(- (* b b) (* (* 3 a) c))
22.0ms
(* (* 3 a) c)
167.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
106.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify1.3s

Counts
109 → 109
Iterations
IterNodes
done2000
21589
1468
0170

prune604.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.4b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune49.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.4b

localize31.0ms

Local error

Found 3 expressions with local error:

0.2b
(* -3/2 (/ (* a c) b))
0.2b
(/ (* a c) b)
0.4b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite60.0ms

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:
13.0ms
(* -3/2 (/ (* a c) b))
13.0ms
(/ (* a c) b)
31.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series121.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* -3/2 (/ (* a c) b))
34.0ms
(/ (* a c) b)
34.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify416.0ms

Counts
96 → 96
Iterations
IterNodes
done2000
1396
0132

prune505.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 5.4b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
24×prod-exp cbrt-unprod
13×pow1
cbrt-undiv div-exp
pow-prod-down
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-*r* associate-*l*
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
*-commutative
clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
3 → 76
Calls
3 calls:
33.0ms
(* -3/2 (* a c))
28.0ms
(* (* 3 a) b)
41.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

series85.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* -3/2 (* a c))
25.0ms
(* (* 3 a) b)
34.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

simplify380.0ms

Counts
85 → 85
Iterations
IterNodes
done2000
1338
0116

prune341.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.3b

regimes954.0ms

Accuracy

27.2% (5.1b remaining)

Error of 10.3b against oracle of 5.1b and baseline of 12.2b

bsearch3.0ms

simplify10.0ms

Iterations
IterNodes
done44
144
035

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.4s16183×pre80true
1.2s4797×body160valid
1.1s8183×body80nan
540.0ms1358×body320valid
238.0ms1845×body80valid