Details

Time bar (total: 20.8s)

sample190.0ms

Algorithm
intervals
Results
46.0ms154×body160valid
37.0ms254×body80nan
33.0ms510×pre80true
28.0ms57×body80valid
18.0ms45×body320valid

simplify95.0ms

Counts
1 → 1
Iterations
IterNodes
898
798
697
595
487
370
243
124
014

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.2b
(- (* b b) (* (* c a) 4))
37.8b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
sqrt-prod add-log-exp
add-cbrt-cube add-exp-log associate-/l*
pow1 distribute-lft-out--
flip3-- insert-posit16 flip--
associate-/r*
sub-neg sqrt-div diff-log associate-/l/
cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 88
Calls
4 calls:
7.0ms
(sqrt (- (* b b) (* (* c a) 4)))
62.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
7.0ms
(- (* b b) (* (* c a) 4))
34.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series394.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(sqrt (- (* b b) (* (* c a) 4)))
147.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
61.0ms
(- (* b b) (* (* c a) 4))
87.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.7s

Counts
100 → 100
Iterations
IterNodes
33579
21094
1400
0161

prune972.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.4b

localize22.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune87.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.4b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
cbrt-undiv div-exp
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
prod-exp cbrt-unprod
pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 49
Calls
2 calls:
28.0ms
(/ (* -2 (/ (* a c) b)) a)
17.0ms
(/ (* a c) b)

series51.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (* -2 (/ (* a c) b)) a)
22.0ms
(/ (* a c) b)

simplify2.3s

Counts
55 → 55
Iterations
IterNodes
36549
21058
1265
099

prune495.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 5.3b

localize23.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* -2 (* (* a c) (/ 1 b))) a)
0.4b
(* (* a c) (/ 1 b))

rewrite99.0ms

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
pow1
rec-exp 1-exp associate-*r/
associate-/r* pow-prod-down
un-div-inv insert-posit16 div-inv add-log-exp associate-/l/
clear-num frac-2neg associate-*l* *-commutative associate-/l*
Counts
2 → 75
Calls
2 calls:
80.0ms
(/ (* -2 (* (* a c) (/ 1 b))) a)
17.0ms
(* (* a c) (/ 1 b))

series55.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* -2 (* (* a c) (/ 1 b))) a)
22.0ms
(* (* a c) (/ 1 b))

simplify6.8s

Counts
81 → 81
Iterations
IterNodes
38741
21671
1435
0151

prune652.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 5.3b

regimes577.0ms

Accuracy

11.9% (6.1b remaining)

Error of 11.3b against oracle of 5.2b and baseline of 12.1b

bsearch95.0ms

Steps
ItersRangePoint
4
0.012192119033112701
0.016950738658885803
0.01232011122987302

simplify11.0ms

Iterations
IterNodes
235
135
026

end0.0ms

sample6.0s

Algorithm
intervals
Results
1.6s8303×body80nan
1.5s4853×body160valid
1.0s1355×body320valid
996.0ms16303×pre80true
304.0ms1792×body80valid