Details

Time bar (total: 13.5s)

sample58.0ms

Algorithm
intervals
Results
13.0ms158×body160valid
11.0ms255×body80nan
10.0ms511×pre80true
4.0ms98×body80valid

simplify107.0ms

Counts
1 → 1
Iterations
IterNodes
done120
5120
4112
383
242
122
012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.5b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite114.0ms

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) (* (* 3.0 a) c))
13.0ms
(* (* 3.0 a) c)
64.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series328.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)
132.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
121.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.1s

Counts
105 → 105
Iterations
IterNodes
done5000
22777
1472
0167

prune757.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.9b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune91.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 9.9b

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite44.0ms

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:
7.0ms
(/ (* a c) b)
14.0ms
(* -1.5 (/ (* a c) b))
17.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series80.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ (* a c) b)
33.0ms
(* -1.5 (/ (* a c) b))
25.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.6s

Counts
93 → 93
Iterations
IterNodes
done5001
22851
1401
0129

prune576.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 9.8b

localize17.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (* (* -1.5 a) (/ c b)) (* 3.0 a))
0.4b
(* (* -1.5 a) (/ c b))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
55×add-cbrt-cube add-exp-log
23×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
13×associate-*r*
10×times-frac
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1
pow-prod-down
expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp
clear-num associate-/r* frac-2neg associate-*l* *-commutative associate-/l* associate-/l/
Counts
2 → 71
Calls
2 calls:
28.0ms
(/ (* (* -1.5 a) (/ c b)) (* 3.0 a))
18.0ms
(* (* -1.5 a) (/ c b))

series62.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (* (* -1.5 a) (/ c b)) (* 3.0 a))
34.0ms
(* (* -1.5 a) (/ c b))

simplify1.9s

Counts
77 → 77
Iterations
IterNodes
done5001
23571
1441
0133

prune323.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 9.8b

regimes1.9s

Accuracy

58.6% (5.6b remaining)

Error of 14.7b against oracle of 9.1b and baseline of 22.7b

bsearch7.0ms

simplify11.0ms

Iterations
IterNodes
done38
138
029

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.1s16619×pre80true
730.0ms4493×body160valid
604.0ms8619×body80nan
280.0ms3507×body80valid