Details

Time bar (total: 10.7s)

sample176.0ms

Algorithm
intervals
Results
39.0ms111×body320valid
27.0ms476×pre80true
26.0ms107×body160valid
24.0ms220×body80nan
6.0ms14×body640valid
3.0ms24×body80valid

simplify85.0ms

Counts
1 → 1
Iterations
IterNodes
done93
793
692
590
482
366
240
121
012

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 54.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3 a) c))
0.2b
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b
(* (* 3 a) c)
29.5b
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
pow1
add-log-exp
add-cube-cbrt
times-frac associate-/l* difference-of-squares
prod-exp cbrt-unprod insert-posit16
flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
cbrt-undiv sub-neg diff-log div-exp associate-/l/
clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 79
Calls
4 calls:
14.0ms
(- (* b b) (* (* 3 a) c))
118.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
32.0ms
(* (* 3 a) c)
38.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series334.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (* b b) (* (* 3 a) c))
119.0ms
(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
33.0ms
(* (* 3 a) c)
122.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify873.0ms

Counts
91 → 91
Iterations
IterNodes
done2058
21457
1423
0158

prune480.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.3b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune39.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -3/2 (/ (* a c) b))
0.3b
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite59.0ms

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*
associate-*l* insert-posit16 div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 81
Calls
3 calls:
10.0ms
(/ (* a c) b)
15.0ms
(* -3/2 (/ (* a c) b))
32.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series100.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (* a c) b)
36.0ms
(* -3/2 (/ (* a c) b))
35.0ms
(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify436.0ms

Counts
90 → 90
Iterations
IterNodes
done2001
1382
0126

prune424.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.3b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

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*
insert-posit16 add-log-exp
*-commutative
clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
3 → 70
Calls
3 calls:
20.0ms
(* (* 3 a) b)
13.0ms
(* -3/2 (* a c))
50.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

series105.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(* (* 3 a) b)
38.0ms
(* -3/2 (* a c))
35.0ms
(/ (* -3/2 (* a c)) (* (* 3 a) b))

simplify416.0ms

Counts
79 → 79
Iterations
IterNodes
done2001
1333
0110

prune257.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 2.3b

regimes522.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample6.0s

Algorithm
intervals
Results
1.8s3533×body320valid
1.1s8200×body80nan
1.0s16200×pre80true
928.0ms3046×body160valid
587.0ms493×body640valid
108.0ms928×body80valid