Details

Time bar (total: 11.5s)

sample105.0ms

Algorithm
intervals
Results
30.0ms533×pre80true
18.0ms151×body160valid
16.0ms277×body80nan
8.0ms48×body320valid
3.0ms57×body80valid

simplify70.0ms

Counts
1 → 1
Iterations
IterNodes
done98
798
697
595
487
372
242
124
014

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
0.2b
(- (* b b) (* (* c a) 4.0))
37.2b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
8×sqrt-prod add-log-exp
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×flip3-- flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 84
Calls
4 calls:
7.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
91.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
15.0ms
(- (* b b) (* (* c a) 4.0))
50.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series383.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
136.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) a)
53.0ms
(- (* b b) (* (* c a) 4.0))
99.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.3s

Counts
96 → 96
Iterations
IterNodes
done5000
21185
1391
0158

prune636.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.4b

localize14.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune138.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 5.4b

localize22.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.2b
(/ (* -2.0 (/ (* a c) b)) a)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
8×cbrt-undiv div-exp
6×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
5×prod-exp cbrt-unprod
2×pow1 clear-num frac-2neg div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 47
Calls
2 calls:
7.0ms
(/ (* a c) b)
22.0ms
(/ (* -2.0 (/ (* a c) b)) a)

series60.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (* a c) b)
26.0ms
(/ (* -2.0 (/ (* a c) b)) a)

simplify1.2s

Counts
53 → 53
Iterations
IterNodes
done5005
21483
1273
097

prune434.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 5.4b

localize23.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* -2.0 (* (* a c) (/ 1 b))) a)
0.4b
(* (* a c) (/ 1 b))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
39×add-cbrt-cube
33×prod-exp
18×div-exp
17×cbrt-unprod
13×associate-*r*
12×times-frac
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×cbrt-undiv
7×pow1
4×rec-exp 1-exp associate-*r/
3×associate-/r* pow-prod-down
2×un-div-inv div-inv add-log-exp associate-/l/
1×clear-num frac-2neg associate-*l* *-commutative associate-/l*
Counts
2 → 73
Calls
2 calls:
66.0ms
(/ (* -2.0 (* (* a c) (/ 1 b))) a)
28.0ms
(* (* a c) (/ 1 b))

series68.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (* -2.0 (* (* a c) (/ 1 b))) a)
25.0ms
(* (* a c) (/ 1 b))

simplify2.0s

Counts
79 → 79
Iterations
IterNodes
done5000
21800
1438
0149

prune235.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 5.4b

regimes797.0ms

Accuracy

11.4% (6.6b remaining)

Error of 11.7b against oracle of 5.2b and baseline of 12.6b

bsearch3.0ms

Steps
ItersRangePoint
0
1.1367127926867939e-06
1.150970403537976e-06
1.1438415981123848e-06

simplify6.0ms

Iterations
IterNodes
done34
134
026

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.1s8186×body80nan
942.0ms4769×body160valid
623.0ms16186×pre80true
430.0ms1336×body320valid
129.0ms1895×body80valid