Details

Time bar (total: 13.3s)

sample100.0ms

Algorithm
intervals
Results
22.0ms161×body160valid
18.0ms264×body80nan
17.0ms520×pre80true
8.0ms41×body320valid
4.0ms54×body80valid

simplify135.0ms

Counts
1 → 1
Iterations
IterNodes
done104
5104
496
376
241
121
012

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
39.5b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite155.0ms

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
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 → 75
Calls
4 calls:
8.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
65.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
61.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series358.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(- (* b b) (* (* 3.0 a) c))
25.0ms
(* (* 3.0 a) c)
143.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
114.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.1s

Counts
87 → 87
Iterations
IterNodes
done5000
22483
1428
0155

prune541.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.8b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune96.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.8b

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))

rewrite65.0ms

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* div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 78
Calls
3 calls:
14.0ms
(/ (* a c) b)
31.0ms
(* -1.5 (/ (* a c) b))
17.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series120.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (* a c) b)
52.0ms
(* -1.5 (/ (* a c) b))
40.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify2.0s

Counts
87 → 87
Iterations
IterNodes
done5001
22789
1391
0123

prune525.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 4.8b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

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*
add-log-exp
*-commutative
clear-num associate-/r* frac-2neg times-frac div-inv associate-/l*
Counts
3 → 67
Calls
3 calls:
24.0ms
(* (* 3.0 a) b)
15.0ms
(* -1.5 (* a c))
31.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

series98.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* (* 3.0 a) b)
38.0ms
(* -1.5 (* a c))
26.0ms
(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

simplify2.1s

Counts
76 → 76
Iterations
IterNodes
done5000
23340
1357
0107

prune272.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 4.8b

regimes848.0ms

Accuracy

12.8% (6.0b remaining)

Error of 11.2b against oracle of 5.1b and baseline of 12.0b

bsearch4.0ms

Steps
ItersRangePoint
0
0.027862751328091167
0.02874794862355443
0.028305349975822798

simplify6.0ms

Iterations
IterNodes
done23
123
019

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.0s8122×body80nan
824.0ms4869×body160valid
727.0ms16122×pre80true
334.0ms1345×body320valid
121.0ms1786×body80valid